diff --git a/.ipynb_checkpoints/dbarry-checkpoint.ipynb b/.ipynb_checkpoints/dbarry-checkpoint.ipynb
new file mode 100644
index 0000000..1f8b07e
--- /dev/null
+++ b/.ipynb_checkpoints/dbarry-checkpoint.ipynb
@@ -0,0 +1,1389 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "A Survey on Technology Choice\n",
+    "======\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Hypothesis\n",
+    "\n",
+    "I think the priority of helpful discussion on StackExchange is going to be affected by development experience and English proficiency."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# For nicer printing\n",
+    "options(digits=2);"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Read in the data\n",
+    "data <- read.csv(\"TechSurvey - Survey.csv\",header=T);\n",
+    "\n",
+    "#convert date to unix second\n",
+    "for (i in c(\"Start\", \"End\")) \n",
+    "    data[,i] = as.numeric(as.POSIXct(strptime(data[,i], \"%Y-%m-%d %H:%M:%S\")))\n",
+    "for (i in 0:12){\n",
+    "    vnam = paste(c(\"PG\",i,\"Submit\"), collapse=\"\")\n",
+    "    data[,vnam] = as.numeric(as.POSIXct(strptime(data[,vnam], \"%Y-%m-%d %H:%M:%S\")))\n",
+    "}\n",
+    "#calculate differences in time    \n",
+    "for (i in 12:0){\n",
+    "    pv = paste(c(\"PG\",i-1,\"Submit\"), collapse=\"\");\n",
+    "    if (i==0) \n",
+    "        pv=\"Start\";\n",
+    "    vnam = paste(c(\"PG\",i,\"Submit\"), collapse=\"\");\n",
+    "    data[,vnam] = data[,vnam] -data[,pv];\n",
+    "}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "     Device    Completed       Start               End               PG0Dis   \n",
+       "        :  2   0    :  2   Min.   :1.54e+09   Min.   :1.54e+09   Min.   :  0  \n",
+       " Bot    :  1   FALSE:546   1st Qu.:1.54e+09   1st Qu.:1.54e+09   1st Qu.:  0  \n",
+       " PC     :955   TRUE :805   Median :1.54e+09   Median :1.54e+09   Median :  1  \n",
+       " Phone  :376               Mean   :1.54e+09   Mean   :1.54e+09   Mean   : 44  \n",
+       " Tablet : 16               3rd Qu.:1.54e+09   3rd Qu.:1.54e+09   3rd Qu.: 24  \n",
+       " Unknown:  3               Max.   :1.54e+09   Max.   :1.54e+09   Max.   :168  \n",
+       "                           NA's   :2          NA's   :548        NA's   :73   \n",
+       "    PG0Shown      PG0Submit    \n",
+       " Min.   :   0   Min.   :    2  \n",
+       " 1st Qu.:   0   1st Qu.:    6  \n",
+       " Median : 102   Median :    9  \n",
+       " Mean   : 249   Mean   :  299  \n",
+       " 3rd Qu.: 428   3rd Qu.:   15  \n",
+       " Max.   :1190   Max.   :76226  \n",
+       " NA's   :73     NA's   :199    \n",
+       "                                       PG1PsnUse  \n",
+       " For personal work and/or research use      :727  \n",
+       "                                            :613  \n",
+       " Chapter book                               :  1  \n",
+       " For training attendees of my sessions      :  1  \n",
+       " It's a coures on tidyverse that I developed:  1  \n",
+       " Learning how to create a package           :  1  \n",
+       " (Other)                                    :  9  \n",
+       "                                                                        PG1WdAuth   \n",
+       "                                                                             :1145  \n",
+       " Because Microsoft was paying me to do it                                    :   1  \n",
+       " For a wider audience, such as developers of other packages or other software: 205  \n",
+       " Hackathon                                                                   :   1  \n",
+       " Tool for other researchers to analyse their data                            :   1  \n",
+       "                                                                                    \n",
+       "                                                                                    \n",
+       "                                PG1Trn    \n",
+       "                                   :1168  \n",
+       " For a training / class that I took: 184  \n",
+       " teaching economics                :   1  \n",
+       "                                          \n",
+       "                                          \n",
+       "                                          \n",
+       "                                          \n",
+       "                                                               PG1Other   \n",
+       "                                                                   :1272  \n",
+       " Other                                                             :  23  \n",
+       " Teaching                                                          :   3  \n",
+       " teaching                                                          :   3  \n",
+       " For training that I gave                                          :   2  \n",
+       " How does software technology spreads in the open source community?:   2  \n",
+       " (Other)                                                           :  48  \n",
+       "   PG1Submit        PG2Resp      PG2Submit   \n",
+       " Min.   :   1           :431   Min.   :   1  \n",
+       " 1st Qu.:  11   No      :374   1st Qu.:   9  \n",
+       " Median :  16   Not sure:303   Median :  13  \n",
+       " Mean   :  39   Yes     :245   Mean   :  29  \n",
+       " 3rd Qu.:  30                  3rd Qu.:  29  \n",
+       " Max.   :6892                  Max.   :1470  \n",
+       " NA's   :282                   NA's   :377   \n",
+       "                                                                            PG2Resp.1  \n",
+       "                                                                                 :480  \n",
+       " The core \"data.frame\" object lacked functionality that I needed                 :354  \n",
+       " I saw a recommendation for the package                                          :149  \n",
+       " Chose the package to be compatible with other packages in my project            :137  \n",
+       " I didn't choose to use the package, it was included implicitly / unintentionally: 39  \n",
+       " Other                                                                           :  6  \n",
+       " (Other)                                                                         :188  \n",
+       "   PG3Submit      PG4Dtr0_6      PG4Psv7_8      PG4Prm9_10    PG4AllResp \n",
+       " Min.   :   1   Min.   :0      Min.   :7      Min.   : 9    Min.   : 0   \n",
+       " 1st Qu.:  16   1st Qu.:3      1st Qu.:7      1st Qu.:10    1st Qu.: 8   \n",
+       " Median :  23   Median :5      Median :8      Median :10    Median : 9   \n",
+       " Mean   :  44   Mean   :4      Mean   :8      Mean   :10    Mean   : 8   \n",
+       " 3rd Qu.:  40   3rd Qu.:6      3rd Qu.:8      3rd Qu.:10    3rd Qu.:10   \n",
+       " Max.   :4648   Max.   :6      Max.   :8      Max.   :10    Max.   :10   \n",
+       " NA's   :451    NA's   :1232   NA's   :1115   NA's   :869   NA's   :510  \n",
+       "   PG4Submit             PG5_1RRPQ     PG5_1Order                PG5_1Time  \n",
+       " Min.   :  1                  :877   Min.   : 1                       :877  \n",
+       " 1st Qu.:  6   Essential      : 60   1st Qu.: 4    2018-10-11 13:32:57:  3  \n",
+       " Median :  7   High Priority  :102   Median : 7    2018-10-11 13:29:20:  2  \n",
+       " Mean   :  9   Low Priority   : 85   Mean   : 7    2018-10-11 13:34:56:  2  \n",
+       " 3rd Qu.:  9   Medium Priority:134   3rd Qu.:11    2018-10-11 13:14:25:  1  \n",
+       " Max.   :332   Not a Priority : 95   Max.   :20    2018-10-11 13:14:45:  1  \n",
+       " NA's   :473                         NA's   :877   (Other)            :467  \n",
+       "           PG5_2BNUI     PG5_2Order                PG5_2Time  \n",
+       "                :923   Min.   : 1                       :923  \n",
+       " Essential      :  3   1st Qu.: 5    2018-10-11 13:21:46:  2  \n",
+       " High Priority  : 26   Median : 8    2018-10-11 13:38:07:  2  \n",
+       " Low Priority   :121   Mean   : 8    2018-10-11 13:14:27:  1  \n",
+       " Medium Priority: 92   3rd Qu.:11    2018-10-11 13:14:40:  1  \n",
+       " Not a Priority :188   Max.   :21    2018-10-11 13:15:18:  1  \n",
+       "                       NA's   :923   (Other)            :423  \n",
+       "            PG5_3HDS     PG5_3Order                PG5_3Time  \n",
+       "                :768   Min.   : 1                       :768  \n",
+       " Essential      :103   1st Qu.: 2    2018-10-11 13:54:00:  2  \n",
+       " High Priority  :200   Median : 4    2018-10-11 14:21:45:  2  \n",
+       " Low Priority   : 69   Mean   : 6    2018-10-11 14:25:51:  2  \n",
+       " Medium Priority:162   3rd Qu.: 9    2018-10-11 17:21:39:  2  \n",
+       " Not a Priority : 51   Max.   :19    2018-10-11 13:14:18:  1  \n",
+       "                       NA's   :768   (Other)            :576  \n",
+       "            PG5_4VGP     PG5_4Order                PG5_4Time  \n",
+       "                :852   Min.   : 1                       :852  \n",
+       " Essential      : 22   1st Qu.: 4    2018-10-11 13:16:50:  2  \n",
+       " High Priority  :111   Median : 6    2018-10-11 13:29:51:  2  \n",
+       " Low Priority   : 88   Mean   : 7    2018-10-11 13:37:39:  2  \n",
+       " Medium Priority:164   3rd Qu.:10    2018-10-11 13:38:11:  2  \n",
+       " Not a Priority :116   Max.   :18    2018-10-11 15:42:22:  2  \n",
+       "                       NA's   :852   (Other)            :491  \n",
+       "            PG5_5PHR     PG5_5Order                PG5_5Time  \n",
+       "                :753   Min.   : 1                       :753  \n",
+       " Essential      : 79   1st Qu.: 2    2018-10-11 13:18:47:  2  \n",
+       " High Priority  :252   Median : 4    2018-10-11 13:18:48:  2  \n",
+       " Low Priority   : 63   Mean   : 6    2018-10-11 13:32:40:  2  \n",
+       " Medium Priority:162   3rd Qu.: 8    2018-10-11 13:38:12:  2  \n",
+       " Not a Priority : 44   Max.   :18    2018-10-11 13:45:48:  2  \n",
+       "                       NA's   :753   (Other)            :590  \n",
+       "           PG5_6SSYOP    PG5_6Order                PG5_6Time  \n",
+       "                :852   Min.   : 1                       :852  \n",
+       " Essential      : 63   1st Qu.: 3    2018-10-11 13:20:00:  2  \n",
+       " High Priority  :137   Median : 6    2018-10-11 13:40:53:  2  \n",
+       " Low Priority   : 84   Mean   : 7    2018-10-11 13:44:00:  2  \n",
+       " Medium Priority:110   3rd Qu.:10    2018-10-11 13:45:41:  2  \n",
+       " Not a Priority :107   Max.   :17    2018-10-11 16:22:38:  2  \n",
+       "                       NA's   :852   (Other)            :491  \n",
+       "           PG5_7NDYP     PG5_7Order                PG5_7Time  \n",
+       "                :934   Min.   : 1                       :934  \n",
+       " Essential      :  8   1st Qu.: 4    2018-10-11 13:18:50:  2  \n",
+       " High Priority  : 31   Median : 7    2018-10-11 14:23:19:  2  \n",
+       " Low Priority   : 93   Mean   : 7    2018-10-11 13:14:22:  1  \n",
+       " Medium Priority: 52   3rd Qu.:11    2018-10-11 13:14:50:  1  \n",
+       " Not a Priority :235   Max.   :17    2018-10-11 13:15:08:  1  \n",
+       "                       NA's   :934   (Other)            :412  \n",
+       "            PG5_8CP      PG5_8Order                PG5_8Time  \n",
+       "                :715   Min.   : 1                       :715  \n",
+       " Essential      :232   1st Qu.: 1    2018-10-11 13:29:46:  2  \n",
+       " High Priority  :197   Median : 4    2018-10-11 13:37:00:  2  \n",
+       " Low Priority   : 52   Mean   : 5    2018-10-11 13:38:36:  2  \n",
+       " Medium Priority:121   3rd Qu.: 8    2018-10-11 13:39:22:  2  \n",
+       " Not a Priority : 36   Max.   :20    2018-10-11 14:02:46:  2  \n",
+       "                       NA's   :715   (Other)            :628  \n",
+       "            PG5_9FRP     PG5_9Order                PG5_9Time  \n",
+       "                :738   Min.   : 1                       :738  \n",
+       " Essential      :165   1st Qu.: 2    2018-10-11 13:35:13:  2  \n",
+       " High Priority  :243   Median : 4    2018-10-11 13:37:34:  2  \n",
+       " Low Priority   : 42   Mean   : 5    2018-10-11 14:02:44:  2  \n",
+       " Medium Priority:125   3rd Qu.: 9    2018-10-11 13:14:17:  1  \n",
+       " Not a Priority : 40   Max.   :19    2018-10-11 13:14:52:  1  \n",
+       "                       NA's   :738   (Other)            :607  \n",
+       "           PG5_10RPA    PG5_10Order                PG5_10Time \n",
+       "                :779   Min.   : 1                       :779  \n",
+       " Essential      : 55   1st Qu.: 2    2018-10-11 13:17:47:  2  \n",
+       " High Priority  :204   Median : 5    2018-10-11 13:27:48:  2  \n",
+       " Low Priority   : 79   Mean   : 6    2018-10-11 13:45:33:  2  \n",
+       " Medium Priority:151   3rd Qu.: 9    2018-10-11 15:30:40:  2  \n",
+       " Not a Priority : 85   Max.   :22    2018-10-11 15:48:40:  2  \n",
+       "                       NA's   :779   (Other)            :564  \n",
+       "           PG5_11NSG    PG5_11Order                PG5_11Time \n",
+       "                :890   Min.   : 1                       :890  \n",
+       " Essential      :  6   1st Qu.: 4    2018-10-11 13:19:44:  2  \n",
+       " High Priority  : 29   Median : 6    2018-10-11 13:21:53:  2  \n",
+       " Low Priority   : 89   Mean   : 7    2018-10-11 13:31:08:  2  \n",
+       " Medium Priority: 68   3rd Qu.:10    2018-10-11 13:40:48:  2  \n",
+       " Not a Priority :271   Max.   :18    2018-10-11 14:55:47:  2  \n",
+       "                       NA's   :890   (Other)            :453  \n",
+       "           PG5_12NWG    PG5_12Order                PG5_12Time \n",
+       "                :916   Min.   : 1                       :916  \n",
+       " High Priority  : 10   1st Qu.: 5    2018-10-11 13:30:08:  2  \n",
+       " Low Priority   : 77   Median : 7    2018-10-11 13:31:20:  2  \n",
+       " Medium Priority: 25   Mean   : 7    2018-10-11 14:55:40:  2  \n",
+       " Not a Priority :325   3rd Qu.:11    2018-10-11 13:14:46:  1  \n",
+       "                       Max.   :18    2018-10-11 13:14:50:  1  \n",
+       "                       NA's   :916   (Other)            :429  \n",
+       "           PG5_13NFG    PG5_13Order                PG5_13Time    PG5Submit   \n",
+       "                :920   Min.   : 1                       :920   Min.   :   3  \n",
+       " High Priority  : 10   1st Qu.: 4    2018-10-11 13:17:39:  2   1st Qu.:  45  \n",
+       " Low Priority   : 76   Median : 7    2018-10-11 13:35:20:  2   Median :  62  \n",
+       " Medium Priority: 37   Mean   : 7    2018-10-11 13:35:56:  2   Mean   :  87  \n",
+       " Not a Priority :310   3rd Qu.:10    2018-10-11 15:42:36:  2   3rd Qu.:  84  \n",
+       "                       Max.   :17    2018-10-11 13:14:41:  1   Max.   :4130  \n",
+       "                       NA's   :920   (Other)            :424   NA's   :544   \n",
+       "              PG6Resp      PG6Submit         PG7R      PG7C.C..     PG7Java    \n",
+       "                  :549   Min.   :   1   R      :684        :1268        :1306  \n",
+       " 13 - 19 years    : 50   1st Qu.:   7          :614   C/C++:  84   Java :  46  \n",
+       " 2 - 5 years      :332   Median :   9   Perl   :  6   Cobol:   1   scala:   1  \n",
+       " 20 years or more : 45   Mean   :  24   PHP    :  5                            \n",
+       " 6 - 8 years      :112   3rd Qu.:  12   SQL    :  5                            \n",
+       " 9 - 12 years     : 70   Max.   :5759   Ruby   :  4                            \n",
+       " Less than 2 years:195   NA's   :543    (Other): 35                            \n",
+       "  PG7Python       PG7Javascript  PG7Go     PG7C.        PG7Other   \n",
+       "       :1129             :1304     :1351     :1330          :1283  \n",
+       " Python: 223   Javascript:  48   Go:   2   C#:  23   Other  :  62  \n",
+       " perl  :   1   sql       :   1                       PHP    :   2  \n",
+       "                                                     Matlab :   1  \n",
+       "                                                     Ruby   :   1  \n",
+       "                                                     SAS    :   1  \n",
+       "                                                     (Other):   3  \n",
+       "   PG7Submit                PG8Resp      PG8Submit           PG9Resp   \n",
+       " Min.   :  1                    :570   Min.   :  1               :562  \n",
+       " 1st Qu.:  6   Data Scientist   :379   1st Qu.:  5   2 - 3       :229  \n",
+       " Median :  8   Software Engineer: 55   Median :  8   4 - 6       :166  \n",
+       " Mean   : 11   Student          : 24   Mean   : 12   7 - 10      :122  \n",
+       " 3rd Qu.: 11   Researcher       : 15   3rd Qu.: 14   1           : 94  \n",
+       " Max.   :777   PhD student      : 10   Max.   :207   More than 25: 92  \n",
+       " NA's   :542   (Other)          :300   NA's   :546   (Other)     : 88  \n",
+       "   PG9Submit                                            PG10Resp  \n",
+       " Min.   :    0                                              :565  \n",
+       " 1st Qu.:    7   Native                                     :424  \n",
+       " Median :   10   Not native - full working proficiency      :263  \n",
+       " Mean   :   40   Not native - limited working proficiency   : 17  \n",
+       " 3rd Qu.:   14   Not native - passable                      :  5  \n",
+       " Max.   :20126   Not native - sufficient working proficiency: 77  \n",
+       " NA's   :547     Not native - very limited                  :  2  \n",
+       "   PG10Submit                   PG11Resp     PG11Submit         PG12Resp  \n",
+       " Min.   :   1                       :576   Min.   :  1              :590  \n",
+       " 1st Qu.:   5   Female              : 96   1st Qu.:  4   18 - 24    : 34  \n",
+       " Median :   7   Male                :652   Median :  4   25 - 34    :338  \n",
+       " Mean   :  17   Prefer not to answer: 29   Mean   :  6   35 - 44    :258  \n",
+       " 3rd Qu.:  11                              3rd Qu.:  5   45 - 54    : 89  \n",
+       " Max.   :5966                              Max.   :605   55 - 64    : 36  \n",
+       " NA's   :546                               NA's   :548   65 and over:  8  \n",
+       "   PG12Submit  \n",
+       " Min.   :   1  \n",
+       " 1st Qu.:   4  \n",
+       " Median :   5  \n",
+       " Mean   :   8  \n",
+       " 3rd Qu.:   6  \n",
+       " Max.   :1566  \n",
+       " NA's   :548   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#now explore variables\n",
+    "summary(data);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Descriptive Analysis of the Proposed Measures\n",
+    "\n",
+    "Intuitively, if someone does not have very much development experience, then he or she will be more likely to benefit from discussion on the help board. However, if someone is more experienced, then the discussion may not be a priority because he or she would have a lot more insight. In addition, if someone has more experience, he or she may be less likely to utilize StackExchange as a resource, leaving those are less experienced more likely to use it and therefore benefit from it. Also, if one does not have extensive knowledge of the English language, then he or she may be predisposed to not benefitting as much from helpful discussion because the ideas may not be conveyed as clearly to the reader. From the above code cell, we observe that the English language proficiency (PG10Resp) responses are primarily \"Native\", and there are fewer responses of lower proficiencies. This means that respondents are more likely to be at least fully working proficient than otherwise. We also observe that the development experience (PG6Resp) responses indicate that the respondents mostly have 2-8 years of experience. Therefore, there are relatively few responses by those with nine or more years of experience. Furthermore, there are fewer and fewer reponses belonging to the higher and higher experience categories."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Interpret  basic summaries"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<thead><tr><th></th><th scope=col>Start</th><th scope=col>End</th><th scope=col>PG0Dis</th><th scope=col>PG0Shown</th><th scope=col>PG0Submit</th><th scope=col>PG1Submit</th><th scope=col>PG2Submit</th><th scope=col>PG3Submit</th><th scope=col>PG4Dtr0_6</th><th scope=col>PG4Psv7_8</th><th scope=col>...</th><th scope=col>PG5_12Order</th><th scope=col>PG5_13Order</th><th scope=col>PG5Submit</th><th scope=col>PG6Submit</th><th scope=col>PG7Submit</th><th scope=col>PG8Submit</th><th scope=col>PG9Submit</th><th scope=col>PG10Submit</th><th scope=col>PG11Submit</th><th scope=col>PG12Submit</th></tr></thead>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>Start</th><td> 1.0000 </td><td> 0.9952 </td><td>-0.0417 </td><td>-0.11507</td><td> 0.1350 </td><td> 0.1156 </td><td> 0.0791 </td><td> 0.0384 </td><td> 0.01210</td><td> 0.00371</td><td>...     </td><td>-0.0369 </td><td> 0.0598 </td><td> 0.08512</td><td> 0.0054 </td><td> 0.0776 </td><td> 0.0441 </td><td> 0.04101</td><td> 0.047  </td><td> 7.9e-02</td><td> 0.0746 </td></tr>\n",
+       "\t<tr><th scope=row>End</th><td> 0.9952 </td><td> 1.0000 </td><td>-0.0415 </td><td>-0.09879</td><td> 0.1142 </td><td> 0.1550 </td><td> 0.0791 </td><td> 0.0511 </td><td>-0.05185</td><td>-0.04576</td><td>...     </td><td>-0.0359 </td><td> 0.0661 </td><td> 0.09088</td><td> 0.0051 </td><td> 0.0759 </td><td> 0.0435 </td><td> 0.04071</td><td> 0.052  </td><td> 7.9e-02</td><td> 0.0772 </td></tr>\n",
+       "\t<tr><th scope=row>PG0Dis</th><td>-0.0417 </td><td>-0.0415 </td><td> 1.0000 </td><td> 0.87220</td><td> 0.0153 </td><td> 0.0065 </td><td> 0.0041 </td><td> 0.0567 </td><td> 0.16368</td><td> 0.02668</td><td>...     </td><td> 0.0151 </td><td> 0.0384 </td><td> 0.00601</td><td> 0.0277 </td><td> 0.0097 </td><td> 0.0354 </td><td> 0.00995</td><td>-0.029  </td><td>-4.5e-02</td><td> 0.0546 </td></tr>\n",
+       "\t<tr><th scope=row>PG0Shown</th><td>-0.1151 </td><td>-0.0988 </td><td> 0.8722 </td><td> 1.00000</td><td> 0.0360 </td><td> 0.0205 </td><td> 0.0023 </td><td> 0.0497 </td><td> 0.08226</td><td> 0.00036</td><td>...     </td><td> 0.0074 </td><td> 0.0407 </td><td>-0.00888</td><td> 0.0401 </td><td> 0.0121 </td><td> 0.0264 </td><td> 0.00056</td><td>-0.045  </td><td>-7.1e-02</td><td> 0.0436 </td></tr>\n",
+       "\t<tr><th scope=row>PG0Submit</th><td> 0.1350 </td><td> 0.1142 </td><td> 0.0153 </td><td> 0.03596</td><td> 1.0000 </td><td> 0.1088 </td><td> 0.1037 </td><td> 0.1273 </td><td>-0.00802</td><td>-0.03763</td><td>...     </td><td>-0.0161 </td><td>-0.0280 </td><td> 0.17671</td><td> 0.1518 </td><td> 0.1365 </td><td> 0.1258 </td><td> 0.17579</td><td> 0.225  </td><td> 1.1e-01</td><td> 0.1096 </td></tr>\n",
+       "\t<tr><th scope=row>PG1Submit</th><td> 0.1156 </td><td> 0.1550 </td><td> 0.0065 </td><td> 0.02047</td><td> 0.1088 </td><td> 1.0000 </td><td> 0.1452 </td><td> 0.2688 </td><td>-0.06852</td><td> 0.05661</td><td>...     </td><td> 0.0512 </td><td>-0.0651 </td><td> 0.24670</td><td> 0.2414 </td><td> 0.1133 </td><td> 0.1069 </td><td> 0.10895</td><td> 0.170  </td><td> 7.4e-02</td><td> 0.1137 </td></tr>\n",
+       "\t<tr><th scope=row>PG2Submit</th><td> 0.0791 </td><td> 0.0791 </td><td> 0.0041 </td><td> 0.00235</td><td> 0.1037 </td><td> 0.1452 </td><td> 1.0000 </td><td> 0.2045 </td><td> 0.00146</td><td> 0.00897</td><td>...     </td><td> 0.0210 </td><td>-0.0047 </td><td> 0.21851</td><td> 0.2696 </td><td> 0.1245 </td><td> 0.1567 </td><td> 0.20127</td><td> 0.099  </td><td> 1.1e-01</td><td> 0.1073 </td></tr>\n",
+       "\t<tr><th scope=row>PG3Submit</th><td> 0.0384 </td><td> 0.0511 </td><td> 0.0567 </td><td> 0.04968</td><td> 0.1273 </td><td> 0.2688 </td><td> 0.2045 </td><td> 1.0000 </td><td> 0.00865</td><td> 0.04424</td><td>...     </td><td> 0.0464 </td><td>-0.0222 </td><td> 0.26048</td><td> 0.2706 </td><td> 0.1316 </td><td> 0.1822 </td><td> 0.27450</td><td> 0.161  </td><td> 1.4e-01</td><td> 0.1642 </td></tr>\n",
+       "\t<tr><th scope=row>PG4Dtr0_6</th><td> 0.0121 </td><td>-0.0518 </td><td> 0.1637 </td><td> 0.08226</td><td>-0.0080 </td><td>-0.0685 </td><td> 0.0015 </td><td> 0.0087 </td><td> 1.00000</td><td>      NA</td><td>...     </td><td> 0.1774 </td><td>-0.1289 </td><td>-0.05214</td><td>-0.1618 </td><td> 0.1560 </td><td> 0.0695 </td><td>-0.07292</td><td> 0.044  </td><td> 8.4e-04</td><td>-0.0272 </td></tr>\n",
+       "\t<tr><th scope=row>PG4Psv7_8</th><td> 0.0037 </td><td>-0.0458 </td><td> 0.0267 </td><td> 0.00036</td><td>-0.0376 </td><td> 0.0566 </td><td> 0.0090 </td><td> 0.0442 </td><td>      NA</td><td> 1.00000</td><td>...     </td><td>-0.0008 </td><td>-0.0218 </td><td> 0.08974</td><td>-0.0146 </td><td>-0.0363 </td><td> 0.0526 </td><td> 0.05977</td><td> 0.069  </td><td>-4.9e-02</td><td>-0.0217 </td></tr>\n",
+       "\t<tr><th scope=row>PG4Prm9_10</th><td>-0.0267 </td><td>-0.0267 </td><td>-0.0092 </td><td> 0.03279</td><td>-0.0939 </td><td> 0.0120 </td><td>-0.0587 </td><td>-0.0062 </td><td>      NA</td><td>      NA</td><td>...     </td><td> 0.0233 </td><td> 0.0916 </td><td> 0.00077</td><td>-0.0418 </td><td>-0.0633 </td><td>-0.0550 </td><td>-0.02989</td><td>-0.061  </td><td>-8.6e-05</td><td> 0.0169 </td></tr>\n",
+       "\t<tr><th scope=row>PG4AllResp</th><td> 0.0063 </td><td>-0.0158 </td><td> 0.0018 </td><td>-0.02094</td><td>-0.0236 </td><td> 0.0297 </td><td> 0.0293 </td><td>-0.0193 </td><td> 1.00000</td><td> 1.00000</td><td>...     </td><td>-0.0306 </td><td>-0.0166 </td><td> 0.01248</td><td>-0.0040 </td><td>-0.0753 </td><td>-0.1294 </td><td>-0.03812</td><td>-0.106  </td><td>-8.2e-02</td><td>-0.0668 </td></tr>\n",
+       "\t<tr><th scope=row>PG4Submit</th><td> 0.0187 </td><td> 0.0172 </td><td>-0.0539 </td><td>-0.05978</td><td> 0.2191 </td><td> 0.1651 </td><td> 0.1515 </td><td> 0.1956 </td><td>-0.14272</td><td>-0.08350</td><td>...     </td><td>-0.0119 </td><td>-0.0376 </td><td> 0.27328</td><td> 0.3326 </td><td> 0.2775 </td><td> 0.1821 </td><td> 0.33236</td><td> 0.391  </td><td> 2.8e-01</td><td> 0.2360 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_1Order</th><td> 0.0218 </td><td> 0.0196 </td><td> 0.0140 </td><td> 0.01254</td><td>-0.0240 </td><td> 0.0750 </td><td>-0.0069 </td><td> 0.0578 </td><td>-0.09488</td><td>-0.01399</td><td>...     </td><td>-0.0785 </td><td>-0.0950 </td><td> 0.08054</td><td> 0.0334 </td><td> 0.0173 </td><td>-0.0388 </td><td> 0.01033</td><td>-0.096  </td><td>-2.5e-02</td><td> 0.0238 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_2Order</th><td> 0.0014 </td><td> 0.0002 </td><td>-0.0386 </td><td>-0.03617</td><td> 0.0402 </td><td>-0.0226 </td><td>-0.0297 </td><td> 0.0048 </td><td>-0.00954</td><td> 0.08081</td><td>...     </td><td> 0.0527 </td><td>-0.0652 </td><td> 0.03898</td><td>-0.0571 </td><td>-0.0551 </td><td>-0.0567 </td><td>-0.01925</td><td> 0.015  </td><td> 7.3e-03</td><td> 0.0469 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_3Order</th><td>-0.0089 </td><td>-0.0177 </td><td> 0.0441 </td><td> 0.04228</td><td> 0.0155 </td><td> 0.0391 </td><td>-0.0131 </td><td> 0.0172 </td><td> 0.13631</td><td> 0.04396</td><td>...     </td><td>-0.0698 </td><td>-0.0250 </td><td> 0.23450</td><td> 0.0419 </td><td> 0.0058 </td><td>-0.0086 </td><td> 0.02604</td><td> 0.063  </td><td> 3.4e-02</td><td> 0.0538 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_4Order</th><td> 0.0931 </td><td> 0.0949 </td><td>-0.0262 </td><td>-0.02214</td><td>-0.0172 </td><td> 0.0293 </td><td> 0.0560 </td><td>-0.0462 </td><td> 0.01735</td><td>-0.12489</td><td>...     </td><td>-0.0447 </td><td>-0.0329 </td><td> 0.14487</td><td> 0.0414 </td><td> 0.0460 </td><td> 0.0182 </td><td>-0.03734</td><td>-0.075  </td><td>-8.6e-02</td><td>-0.0211 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_5Order</th><td>-0.0523 </td><td>-0.0466 </td><td>-0.0087 </td><td>-0.01058</td><td> 0.0860 </td><td> 0.0345 </td><td> 0.0570 </td><td>-0.0165 </td><td> 0.04533</td><td>-0.06369</td><td>...     </td><td>-0.0499 </td><td>-0.0981 </td><td> 0.28698</td><td> 0.0498 </td><td> 0.0372 </td><td> 0.0427 </td><td>-0.02976</td><td> 0.076  </td><td> 2.4e-02</td><td> 0.0085 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_6Order</th><td> 0.0237 </td><td> 0.0217 </td><td>-0.0480 </td><td>-0.04902</td><td> 0.0762 </td><td> 0.0327 </td><td> 0.1077 </td><td> 0.0370 </td><td>-0.13255</td><td> 0.01662</td><td>...     </td><td>-0.0430 </td><td>-0.0031 </td><td> 0.22759</td><td> 0.0165 </td><td> 0.0222 </td><td> 0.0639 </td><td>-0.02974</td><td> 0.015  </td><td> 2.8e-02</td><td> 0.0539 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_7Order</th><td>-0.0200 </td><td>-0.0236 </td><td> 0.0220 </td><td>-0.00444</td><td>-0.1174 </td><td>-0.0815 </td><td>-0.0285 </td><td> 0.0242 </td><td>-0.16196</td><td>-0.06938</td><td>...     </td><td> 0.0410 </td><td> 0.0944 </td><td> 0.06439</td><td>-0.0222 </td><td>-0.1082 </td><td>-0.0804 </td><td>-0.01762</td><td>-0.017  </td><td>-4.4e-02</td><td>-0.0617 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_8Order</th><td>-0.0804 </td><td>-0.0852 </td><td>-0.0147 </td><td>-0.00433</td><td>-0.0421 </td><td>-0.0205 </td><td>-0.0387 </td><td>-0.0129 </td><td>-0.16181</td><td> 0.01019</td><td>...     </td><td>-0.0896 </td><td>-0.1168 </td><td> 0.13787</td><td>-0.1227 </td><td>-0.0126 </td><td>-0.0526 </td><td>-0.05699</td><td>-0.065  </td><td>-3.7e-02</td><td>-0.0182 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_9Order</th><td> 0.0171 </td><td> 0.0167 </td><td>-0.0712 </td><td>-0.10235</td><td> 0.0476 </td><td> 0.0260 </td><td>-0.0410 </td><td>-0.0641 </td><td>-0.07948</td><td>-0.09747</td><td>...     </td><td>-0.0431 </td><td>-0.0837 </td><td> 0.18534</td><td>-0.0188 </td><td>-0.0314 </td><td>-0.0898 </td><td>-0.01354</td><td>-0.034  </td><td> 6.2e-03</td><td>-0.0280 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_10Order</th><td>-0.0214 </td><td>-0.0112 </td><td> 0.0200 </td><td> 0.02736</td><td> 0.0086 </td><td>-0.0017 </td><td>-0.0418 </td><td> 0.0581 </td><td>-0.05310</td><td> 0.15949</td><td>...     </td><td>-0.0905 </td><td>-0.1214 </td><td> 0.22151</td><td> 0.0427 </td><td> 0.0311 </td><td> 0.0345 </td><td> 0.02011</td><td> 0.102  </td><td> 1.8e-02</td><td>-0.0092 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_11Order</th><td>-0.0241 </td><td>-0.0196 </td><td> 0.0190 </td><td> 0.02551</td><td> 0.0927 </td><td>-0.0047 </td><td>-0.1043 </td><td> 0.0279 </td><td> 0.02791</td><td>-0.03487</td><td>...     </td><td> 0.1233 </td><td> 0.1434 </td><td> 0.02942</td><td>-0.0055 </td><td> 0.0210 </td><td> 0.0232 </td><td> 0.05579</td><td>-0.038  </td><td>-2.5e-03</td><td> 0.0275 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_12Order</th><td>-0.0369 </td><td>-0.0359 </td><td> 0.0151 </td><td> 0.00743</td><td>-0.0161 </td><td> 0.0512 </td><td> 0.0210 </td><td> 0.0464 </td><td> 0.17741</td><td>-0.00080</td><td>...     </td><td> 1.0000 </td><td> 0.1231 </td><td> 0.10997</td><td> 0.0777 </td><td> 0.0529 </td><td> 0.0149 </td><td> 0.00295</td><td> 0.016  </td><td> 2.4e-02</td><td> 0.0167 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_13Order</th><td> 0.0598 </td><td> 0.0661 </td><td> 0.0384 </td><td> 0.04072</td><td>-0.0280 </td><td>-0.0651 </td><td>-0.0047 </td><td>-0.0222 </td><td>-0.12890</td><td>-0.02179</td><td>...     </td><td> 0.1231 </td><td> 1.0000 </td><td> 0.00976</td><td>-0.0209 </td><td> 0.0355 </td><td> 0.0556 </td><td> 0.07229</td><td>-0.023  </td><td> 1.3e-02</td><td>-0.0614 </td></tr>\n",
+       "\t<tr><th scope=row>PG5Submit</th><td> 0.0851 </td><td> 0.0909 </td><td> 0.0060 </td><td>-0.00888</td><td> 0.1767 </td><td> 0.2467 </td><td> 0.2185 </td><td> 0.2605 </td><td>-0.05214</td><td> 0.08974</td><td>...     </td><td> 0.1100 </td><td> 0.0098 </td><td> 1.00000</td><td> 0.3224 </td><td> 0.2312 </td><td> 0.2035 </td><td> 0.30291</td><td> 0.269  </td><td> 2.4e-01</td><td> 0.2588 </td></tr>\n",
+       "\t<tr><th scope=row>PG6Submit</th><td> 0.0054 </td><td> 0.0051 </td><td> 0.0277 </td><td> 0.04005</td><td> 0.1518 </td><td> 0.2414 </td><td> 0.2696 </td><td> 0.2706 </td><td>-0.16179</td><td>-0.01463</td><td>...     </td><td> 0.0777 </td><td>-0.0209 </td><td> 0.32240</td><td> 1.0000 </td><td> 0.3086 </td><td> 0.2065 </td><td> 0.44528</td><td> 0.343  </td><td> 2.8e-01</td><td> 0.2904 </td></tr>\n",
+       "\t<tr><th scope=row>PG7Submit</th><td> 0.0776 </td><td> 0.0759 </td><td> 0.0097 </td><td> 0.01212</td><td> 0.1365 </td><td> 0.1133 </td><td> 0.1245 </td><td> 0.1316 </td><td> 0.15596</td><td>-0.03631</td><td>...     </td><td> 0.0529 </td><td> 0.0355 </td><td> 0.23120</td><td> 0.3086 </td><td> 1.0000 </td><td> 0.1606 </td><td> 0.27819</td><td> 0.312  </td><td> 2.8e-01</td><td> 0.2523 </td></tr>\n",
+       "\t<tr><th scope=row>PG8Submit</th><td> 0.0441 </td><td> 0.0435 </td><td> 0.0354 </td><td> 0.02635</td><td> 0.1258 </td><td> 0.1069 </td><td> 0.1567 </td><td> 0.1822 </td><td> 0.06953</td><td> 0.05260</td><td>...     </td><td> 0.0149 </td><td> 0.0556 </td><td> 0.20351</td><td> 0.2065 </td><td> 0.1606 </td><td> 1.0000 </td><td> 0.25569</td><td> 0.200  </td><td> 2.1e-01</td><td> 0.1932 </td></tr>\n",
+       "\t<tr><th scope=row>PG9Submit</th><td> 0.0410 </td><td> 0.0407 </td><td> 0.0099 </td><td> 0.00056</td><td> 0.1758 </td><td> 0.1090 </td><td> 0.2013 </td><td> 0.2745 </td><td>-0.07292</td><td> 0.05977</td><td>...     </td><td> 0.0029 </td><td> 0.0723 </td><td> 0.30291</td><td> 0.4453 </td><td> 0.2782 </td><td> 0.2557 </td><td> 1.00000</td><td> 0.290  </td><td> 2.8e-01</td><td> 0.2755 </td></tr>\n",
+       "\t<tr><th scope=row>PG10Submit</th><td> 0.0474 </td><td> 0.0517 </td><td>-0.0293 </td><td>-0.04481</td><td> 0.2248 </td><td> 0.1701 </td><td> 0.0989 </td><td> 0.1614 </td><td> 0.04433</td><td> 0.06942</td><td>...     </td><td> 0.0159 </td><td>-0.0227 </td><td> 0.26881</td><td> 0.3428 </td><td> 0.3121 </td><td> 0.2000 </td><td> 0.29018</td><td> 1.000  </td><td> 3.5e-01</td><td> 0.3131 </td></tr>\n",
+       "\t<tr><th scope=row>PG11Submit</th><td> 0.0790 </td><td> 0.0792 </td><td>-0.0454 </td><td>-0.07102</td><td> 0.1093 </td><td> 0.0738 </td><td> 0.1147 </td><td> 0.1383 </td><td> 0.00084</td><td>-0.04870</td><td>...     </td><td> 0.0240 </td><td> 0.0130 </td><td> 0.23552</td><td> 0.2777 </td><td> 0.2768 </td><td> 0.2065 </td><td> 0.27906</td><td> 0.346  </td><td> 1.0e+00</td><td> 0.2513 </td></tr>\n",
+       "\t<tr><th scope=row>PG12Submit</th><td> 0.0746 </td><td> 0.0772 </td><td> 0.0546 </td><td> 0.04364</td><td> 0.1096 </td><td> 0.1137 </td><td> 0.1073 </td><td> 0.1642 </td><td>-0.02721</td><td>-0.02169</td><td>...     </td><td> 0.0167 </td><td>-0.0614 </td><td> 0.25876</td><td> 0.2904 </td><td> 0.2523 </td><td> 0.1932 </td><td> 0.27550</td><td> 0.313  </td><td> 2.5e-01</td><td> 1.0000 </td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|llllllllllllllllllllllllllllllllll}\n",
+       "  & Start & End & PG0Dis & PG0Shown & PG0Submit & PG1Submit & PG2Submit & PG3Submit & PG4Dtr0\\_6 & PG4Psv7\\_8 & ... & PG5\\_12Order & PG5\\_13Order & PG5Submit & PG6Submit & PG7Submit & PG8Submit & PG9Submit & PG10Submit & PG11Submit & PG12Submit\\\\\n",
+       "\\hline\n",
+       "\tStart &  1.0000  &  0.9952  & -0.0417  & -0.11507 &  0.1350  &  0.1156  &  0.0791  &  0.0384  &  0.01210 &  0.00371 & ...      & -0.0369  &  0.0598  &  0.08512 &  0.0054  &  0.0776  &  0.0441  &  0.04101 &  0.047   &  7.9e-02 &  0.0746 \\\\\n",
+       "\tEnd &  0.9952  &  1.0000  & -0.0415  & -0.09879 &  0.1142  &  0.1550  &  0.0791  &  0.0511  & -0.05185 & -0.04576 & ...      & -0.0359  &  0.0661  &  0.09088 &  0.0051  &  0.0759  &  0.0435  &  0.04071 &  0.052   &  7.9e-02 &  0.0772 \\\\\n",
+       "\tPG0Dis & -0.0417  & -0.0415  &  1.0000  &  0.87220 &  0.0153  &  0.0065  &  0.0041  &  0.0567  &  0.16368 &  0.02668 & ...      &  0.0151  &  0.0384  &  0.00601 &  0.0277  &  0.0097  &  0.0354  &  0.00995 & -0.029   & -4.5e-02 &  0.0546 \\\\\n",
+       "\tPG0Shown & -0.1151  & -0.0988  &  0.8722  &  1.00000 &  0.0360  &  0.0205  &  0.0023  &  0.0497  &  0.08226 &  0.00036 & ...      &  0.0074  &  0.0407  & -0.00888 &  0.0401  &  0.0121  &  0.0264  &  0.00056 & -0.045   & -7.1e-02 &  0.0436 \\\\\n",
+       "\tPG0Submit &  0.1350  &  0.1142  &  0.0153  &  0.03596 &  1.0000  &  0.1088  &  0.1037  &  0.1273  & -0.00802 & -0.03763 & ...      & -0.0161  & -0.0280  &  0.17671 &  0.1518  &  0.1365  &  0.1258  &  0.17579 &  0.225   &  1.1e-01 &  0.1096 \\\\\n",
+       "\tPG1Submit &  0.1156  &  0.1550  &  0.0065  &  0.02047 &  0.1088  &  1.0000  &  0.1452  &  0.2688  & -0.06852 &  0.05661 & ...      &  0.0512  & -0.0651  &  0.24670 &  0.2414  &  0.1133  &  0.1069  &  0.10895 &  0.170   &  7.4e-02 &  0.1137 \\\\\n",
+       "\tPG2Submit &  0.0791  &  0.0791  &  0.0041  &  0.00235 &  0.1037  &  0.1452  &  1.0000  &  0.2045  &  0.00146 &  0.00897 & ...      &  0.0210  & -0.0047  &  0.21851 &  0.2696  &  0.1245  &  0.1567  &  0.20127 &  0.099   &  1.1e-01 &  0.1073 \\\\\n",
+       "\tPG3Submit &  0.0384  &  0.0511  &  0.0567  &  0.04968 &  0.1273  &  0.2688  &  0.2045  &  1.0000  &  0.00865 &  0.04424 & ...      &  0.0464  & -0.0222  &  0.26048 &  0.2706  &  0.1316  &  0.1822  &  0.27450 &  0.161   &  1.4e-01 &  0.1642 \\\\\n",
+       "\tPG4Dtr0\\_6 &  0.0121  & -0.0518  &  0.1637  &  0.08226 & -0.0080  & -0.0685  &  0.0015  &  0.0087  &  1.00000 &       NA & ...      &  0.1774  & -0.1289  & -0.05214 & -0.1618  &  0.1560  &  0.0695  & -0.07292 &  0.044   &  8.4e-04 & -0.0272 \\\\\n",
+       "\tPG4Psv7\\_8 &  0.0037  & -0.0458  &  0.0267  &  0.00036 & -0.0376  &  0.0566  &  0.0090  &  0.0442  &       NA &  1.00000 & ...      & -0.0008  & -0.0218  &  0.08974 & -0.0146  & -0.0363  &  0.0526  &  0.05977 &  0.069   & -4.9e-02 & -0.0217 \\\\\n",
+       "\tPG4Prm9\\_10 & -0.0267  & -0.0267  & -0.0092  &  0.03279 & -0.0939  &  0.0120  & -0.0587  & -0.0062  &       NA &       NA & ...      &  0.0233  &  0.0916  &  0.00077 & -0.0418  & -0.0633  & -0.0550  & -0.02989 & -0.061   & -8.6e-05 &  0.0169 \\\\\n",
+       "\tPG4AllResp &  0.0063  & -0.0158  &  0.0018  & -0.02094 & -0.0236  &  0.0297  &  0.0293  & -0.0193  &  1.00000 &  1.00000 & ...      & -0.0306  & -0.0166  &  0.01248 & -0.0040  & -0.0753  & -0.1294  & -0.03812 & -0.106   & -8.2e-02 & -0.0668 \\\\\n",
+       "\tPG4Submit &  0.0187  &  0.0172  & -0.0539  & -0.05978 &  0.2191  &  0.1651  &  0.1515  &  0.1956  & -0.14272 & -0.08350 & ...      & -0.0119  & -0.0376  &  0.27328 &  0.3326  &  0.2775  &  0.1821  &  0.33236 &  0.391   &  2.8e-01 &  0.2360 \\\\\n",
+       "\tPG5\\_1Order &  0.0218  &  0.0196  &  0.0140  &  0.01254 & -0.0240  &  0.0750  & -0.0069  &  0.0578  & -0.09488 & -0.01399 & ...      & -0.0785  & -0.0950  &  0.08054 &  0.0334  &  0.0173  & -0.0388  &  0.01033 & -0.096   & -2.5e-02 &  0.0238 \\\\\n",
+       "\tPG5\\_2Order &  0.0014  &  0.0002  & -0.0386  & -0.03617 &  0.0402  & -0.0226  & -0.0297  &  0.0048  & -0.00954 &  0.08081 & ...      &  0.0527  & -0.0652  &  0.03898 & -0.0571  & -0.0551  & -0.0567  & -0.01925 &  0.015   &  7.3e-03 &  0.0469 \\\\\n",
+       "\tPG5\\_3Order & -0.0089  & -0.0177  &  0.0441  &  0.04228 &  0.0155  &  0.0391  & -0.0131  &  0.0172  &  0.13631 &  0.04396 & ...      & -0.0698  & -0.0250  &  0.23450 &  0.0419  &  0.0058  & -0.0086  &  0.02604 &  0.063   &  3.4e-02 &  0.0538 \\\\\n",
+       "\tPG5\\_4Order &  0.0931  &  0.0949  & -0.0262  & -0.02214 & -0.0172  &  0.0293  &  0.0560  & -0.0462  &  0.01735 & -0.12489 & ...      & -0.0447  & -0.0329  &  0.14487 &  0.0414  &  0.0460  &  0.0182  & -0.03734 & -0.075   & -8.6e-02 & -0.0211 \\\\\n",
+       "\tPG5\\_5Order & -0.0523  & -0.0466  & -0.0087  & -0.01058 &  0.0860  &  0.0345  &  0.0570  & -0.0165  &  0.04533 & -0.06369 & ...      & -0.0499  & -0.0981  &  0.28698 &  0.0498  &  0.0372  &  0.0427  & -0.02976 &  0.076   &  2.4e-02 &  0.0085 \\\\\n",
+       "\tPG5\\_6Order &  0.0237  &  0.0217  & -0.0480  & -0.04902 &  0.0762  &  0.0327  &  0.1077  &  0.0370  & -0.13255 &  0.01662 & ...      & -0.0430  & -0.0031  &  0.22759 &  0.0165  &  0.0222  &  0.0639  & -0.02974 &  0.015   &  2.8e-02 &  0.0539 \\\\\n",
+       "\tPG5\\_7Order & -0.0200  & -0.0236  &  0.0220  & -0.00444 & -0.1174  & -0.0815  & -0.0285  &  0.0242  & -0.16196 & -0.06938 & ...      &  0.0410  &  0.0944  &  0.06439 & -0.0222  & -0.1082  & -0.0804  & -0.01762 & -0.017   & -4.4e-02 & -0.0617 \\\\\n",
+       "\tPG5\\_8Order & -0.0804  & -0.0852  & -0.0147  & -0.00433 & -0.0421  & -0.0205  & -0.0387  & -0.0129  & -0.16181 &  0.01019 & ...      & -0.0896  & -0.1168  &  0.13787 & -0.1227  & -0.0126  & -0.0526  & -0.05699 & -0.065   & -3.7e-02 & -0.0182 \\\\\n",
+       "\tPG5\\_9Order &  0.0171  &  0.0167  & -0.0712  & -0.10235 &  0.0476  &  0.0260  & -0.0410  & -0.0641  & -0.07948 & -0.09747 & ...      & -0.0431  & -0.0837  &  0.18534 & -0.0188  & -0.0314  & -0.0898  & -0.01354 & -0.034   &  6.2e-03 & -0.0280 \\\\\n",
+       "\tPG5\\_10Order & -0.0214  & -0.0112  &  0.0200  &  0.02736 &  0.0086  & -0.0017  & -0.0418  &  0.0581  & -0.05310 &  0.15949 & ...      & -0.0905  & -0.1214  &  0.22151 &  0.0427  &  0.0311  &  0.0345  &  0.02011 &  0.102   &  1.8e-02 & -0.0092 \\\\\n",
+       "\tPG5\\_11Order & -0.0241  & -0.0196  &  0.0190  &  0.02551 &  0.0927  & -0.0047  & -0.1043  &  0.0279  &  0.02791 & -0.03487 & ...      &  0.1233  &  0.1434  &  0.02942 & -0.0055  &  0.0210  &  0.0232  &  0.05579 & -0.038   & -2.5e-03 &  0.0275 \\\\\n",
+       "\tPG5\\_12Order & -0.0369  & -0.0359  &  0.0151  &  0.00743 & -0.0161  &  0.0512  &  0.0210  &  0.0464  &  0.17741 & -0.00080 & ...      &  1.0000  &  0.1231  &  0.10997 &  0.0777  &  0.0529  &  0.0149  &  0.00295 &  0.016   &  2.4e-02 &  0.0167 \\\\\n",
+       "\tPG5\\_13Order &  0.0598  &  0.0661  &  0.0384  &  0.04072 & -0.0280  & -0.0651  & -0.0047  & -0.0222  & -0.12890 & -0.02179 & ...      &  0.1231  &  1.0000  &  0.00976 & -0.0209  &  0.0355  &  0.0556  &  0.07229 & -0.023   &  1.3e-02 & -0.0614 \\\\\n",
+       "\tPG5Submit &  0.0851  &  0.0909  &  0.0060  & -0.00888 &  0.1767  &  0.2467  &  0.2185  &  0.2605  & -0.05214 &  0.08974 & ...      &  0.1100  &  0.0098  &  1.00000 &  0.3224  &  0.2312  &  0.2035  &  0.30291 &  0.269   &  2.4e-01 &  0.2588 \\\\\n",
+       "\tPG6Submit &  0.0054  &  0.0051  &  0.0277  &  0.04005 &  0.1518  &  0.2414  &  0.2696  &  0.2706  & -0.16179 & -0.01463 & ...      &  0.0777  & -0.0209  &  0.32240 &  1.0000  &  0.3086  &  0.2065  &  0.44528 &  0.343   &  2.8e-01 &  0.2904 \\\\\n",
+       "\tPG7Submit &  0.0776  &  0.0759  &  0.0097  &  0.01212 &  0.1365  &  0.1133  &  0.1245  &  0.1316  &  0.15596 & -0.03631 & ...      &  0.0529  &  0.0355  &  0.23120 &  0.3086  &  1.0000  &  0.1606  &  0.27819 &  0.312   &  2.8e-01 &  0.2523 \\\\\n",
+       "\tPG8Submit &  0.0441  &  0.0435  &  0.0354  &  0.02635 &  0.1258  &  0.1069  &  0.1567  &  0.1822  &  0.06953 &  0.05260 & ...      &  0.0149  &  0.0556  &  0.20351 &  0.2065  &  0.1606  &  1.0000  &  0.25569 &  0.200   &  2.1e-01 &  0.1932 \\\\\n",
+       "\tPG9Submit &  0.0410  &  0.0407  &  0.0099  &  0.00056 &  0.1758  &  0.1090  &  0.2013  &  0.2745  & -0.07292 &  0.05977 & ...      &  0.0029  &  0.0723  &  0.30291 &  0.4453  &  0.2782  &  0.2557  &  1.00000 &  0.290   &  2.8e-01 &  0.2755 \\\\\n",
+       "\tPG10Submit &  0.0474  &  0.0517  & -0.0293  & -0.04481 &  0.2248  &  0.1701  &  0.0989  &  0.1614  &  0.04433 &  0.06942 & ...      &  0.0159  & -0.0227  &  0.26881 &  0.3428  &  0.3121  &  0.2000  &  0.29018 &  1.000   &  3.5e-01 &  0.3131 \\\\\n",
+       "\tPG11Submit &  0.0790  &  0.0792  & -0.0454  & -0.07102 &  0.1093  &  0.0738  &  0.1147  &  0.1383  &  0.00084 & -0.04870 & ...      &  0.0240  &  0.0130  &  0.23552 &  0.2777  &  0.2768  &  0.2065  &  0.27906 &  0.346   &  1.0e+00 &  0.2513 \\\\\n",
+       "\tPG12Submit &  0.0746  &  0.0772  &  0.0546  &  0.04364 &  0.1096  &  0.1137  &  0.1073  &  0.1642  & -0.02721 & -0.02169 & ...      &  0.0167  & -0.0614  &  0.25876 &  0.2904  &  0.2523  &  0.1932  &  0.27550 &  0.313   &  2.5e-01 &  1.0000 \\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| <!--/--> | Start | End | PG0Dis | PG0Shown | PG0Submit | PG1Submit | PG2Submit | PG3Submit | PG4Dtr0_6 | PG4Psv7_8 | ... | PG5_12Order | PG5_13Order | PG5Submit | PG6Submit | PG7Submit | PG8Submit | PG9Submit | PG10Submit | PG11Submit | PG12Submit | \n",
+       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
+       "| Start |  1.0000  |  0.9952  | -0.0417  | -0.11507 |  0.1350  |  0.1156  |  0.0791  |  0.0384  |  0.01210 |  0.00371 | ...      | -0.0369  |  0.0598  |  0.08512 |  0.0054  |  0.0776  |  0.0441  |  0.04101 |  0.047   |  7.9e-02 |  0.0746  | \n",
+       "| End |  0.9952  |  1.0000  | -0.0415  | -0.09879 |  0.1142  |  0.1550  |  0.0791  |  0.0511  | -0.05185 | -0.04576 | ...      | -0.0359  |  0.0661  |  0.09088 |  0.0051  |  0.0759  |  0.0435  |  0.04071 |  0.052   |  7.9e-02 |  0.0772  | \n",
+       "| PG0Dis | -0.0417  | -0.0415  |  1.0000  |  0.87220 |  0.0153  |  0.0065  |  0.0041  |  0.0567  |  0.16368 |  0.02668 | ...      |  0.0151  |  0.0384  |  0.00601 |  0.0277  |  0.0097  |  0.0354  |  0.00995 | -0.029   | -4.5e-02 |  0.0546  | \n",
+       "| PG0Shown | -0.1151  | -0.0988  |  0.8722  |  1.00000 |  0.0360  |  0.0205  |  0.0023  |  0.0497  |  0.08226 |  0.00036 | ...      |  0.0074  |  0.0407  | -0.00888 |  0.0401  |  0.0121  |  0.0264  |  0.00056 | -0.045   | -7.1e-02 |  0.0436  | \n",
+       "| PG0Submit |  0.1350  |  0.1142  |  0.0153  |  0.03596 |  1.0000  |  0.1088  |  0.1037  |  0.1273  | -0.00802 | -0.03763 | ...      | -0.0161  | -0.0280  |  0.17671 |  0.1518  |  0.1365  |  0.1258  |  0.17579 |  0.225   |  1.1e-01 |  0.1096  | \n",
+       "| PG1Submit |  0.1156  |  0.1550  |  0.0065  |  0.02047 |  0.1088  |  1.0000  |  0.1452  |  0.2688  | -0.06852 |  0.05661 | ...      |  0.0512  | -0.0651  |  0.24670 |  0.2414  |  0.1133  |  0.1069  |  0.10895 |  0.170   |  7.4e-02 |  0.1137  | \n",
+       "| PG2Submit |  0.0791  |  0.0791  |  0.0041  |  0.00235 |  0.1037  |  0.1452  |  1.0000  |  0.2045  |  0.00146 |  0.00897 | ...      |  0.0210  | -0.0047  |  0.21851 |  0.2696  |  0.1245  |  0.1567  |  0.20127 |  0.099   |  1.1e-01 |  0.1073  | \n",
+       "| PG3Submit |  0.0384  |  0.0511  |  0.0567  |  0.04968 |  0.1273  |  0.2688  |  0.2045  |  1.0000  |  0.00865 |  0.04424 | ...      |  0.0464  | -0.0222  |  0.26048 |  0.2706  |  0.1316  |  0.1822  |  0.27450 |  0.161   |  1.4e-01 |  0.1642  | \n",
+       "| PG4Dtr0_6 |  0.0121  | -0.0518  |  0.1637  |  0.08226 | -0.0080  | -0.0685  |  0.0015  |  0.0087  |  1.00000 |       NA | ...      |  0.1774  | -0.1289  | -0.05214 | -0.1618  |  0.1560  |  0.0695  | -0.07292 |  0.044   |  8.4e-04 | -0.0272  | \n",
+       "| PG4Psv7_8 |  0.0037  | -0.0458  |  0.0267  |  0.00036 | -0.0376  |  0.0566  |  0.0090  |  0.0442  |       NA |  1.00000 | ...      | -0.0008  | -0.0218  |  0.08974 | -0.0146  | -0.0363  |  0.0526  |  0.05977 |  0.069   | -4.9e-02 | -0.0217  | \n",
+       "| PG4Prm9_10 | -0.0267  | -0.0267  | -0.0092  |  0.03279 | -0.0939  |  0.0120  | -0.0587  | -0.0062  |       NA |       NA | ...      |  0.0233  |  0.0916  |  0.00077 | -0.0418  | -0.0633  | -0.0550  | -0.02989 | -0.061   | -8.6e-05 |  0.0169  | \n",
+       "| PG4AllResp |  0.0063  | -0.0158  |  0.0018  | -0.02094 | -0.0236  |  0.0297  |  0.0293  | -0.0193  |  1.00000 |  1.00000 | ...      | -0.0306  | -0.0166  |  0.01248 | -0.0040  | -0.0753  | -0.1294  | -0.03812 | -0.106   | -8.2e-02 | -0.0668  | \n",
+       "| PG4Submit |  0.0187  |  0.0172  | -0.0539  | -0.05978 |  0.2191  |  0.1651  |  0.1515  |  0.1956  | -0.14272 | -0.08350 | ...      | -0.0119  | -0.0376  |  0.27328 |  0.3326  |  0.2775  |  0.1821  |  0.33236 |  0.391   |  2.8e-01 |  0.2360  | \n",
+       "| PG5_1Order |  0.0218  |  0.0196  |  0.0140  |  0.01254 | -0.0240  |  0.0750  | -0.0069  |  0.0578  | -0.09488 | -0.01399 | ...      | -0.0785  | -0.0950  |  0.08054 |  0.0334  |  0.0173  | -0.0388  |  0.01033 | -0.096   | -2.5e-02 |  0.0238  | \n",
+       "| PG5_2Order |  0.0014  |  0.0002  | -0.0386  | -0.03617 |  0.0402  | -0.0226  | -0.0297  |  0.0048  | -0.00954 |  0.08081 | ...      |  0.0527  | -0.0652  |  0.03898 | -0.0571  | -0.0551  | -0.0567  | -0.01925 |  0.015   |  7.3e-03 |  0.0469  | \n",
+       "| PG5_3Order | -0.0089  | -0.0177  |  0.0441  |  0.04228 |  0.0155  |  0.0391  | -0.0131  |  0.0172  |  0.13631 |  0.04396 | ...      | -0.0698  | -0.0250  |  0.23450 |  0.0419  |  0.0058  | -0.0086  |  0.02604 |  0.063   |  3.4e-02 |  0.0538  | \n",
+       "| PG5_4Order |  0.0931  |  0.0949  | -0.0262  | -0.02214 | -0.0172  |  0.0293  |  0.0560  | -0.0462  |  0.01735 | -0.12489 | ...      | -0.0447  | -0.0329  |  0.14487 |  0.0414  |  0.0460  |  0.0182  | -0.03734 | -0.075   | -8.6e-02 | -0.0211  | \n",
+       "| PG5_5Order | -0.0523  | -0.0466  | -0.0087  | -0.01058 |  0.0860  |  0.0345  |  0.0570  | -0.0165  |  0.04533 | -0.06369 | ...      | -0.0499  | -0.0981  |  0.28698 |  0.0498  |  0.0372  |  0.0427  | -0.02976 |  0.076   |  2.4e-02 |  0.0085  | \n",
+       "| PG5_6Order |  0.0237  |  0.0217  | -0.0480  | -0.04902 |  0.0762  |  0.0327  |  0.1077  |  0.0370  | -0.13255 |  0.01662 | ...      | -0.0430  | -0.0031  |  0.22759 |  0.0165  |  0.0222  |  0.0639  | -0.02974 |  0.015   |  2.8e-02 |  0.0539  | \n",
+       "| PG5_7Order | -0.0200  | -0.0236  |  0.0220  | -0.00444 | -0.1174  | -0.0815  | -0.0285  |  0.0242  | -0.16196 | -0.06938 | ...      |  0.0410  |  0.0944  |  0.06439 | -0.0222  | -0.1082  | -0.0804  | -0.01762 | -0.017   | -4.4e-02 | -0.0617  | \n",
+       "| PG5_8Order | -0.0804  | -0.0852  | -0.0147  | -0.00433 | -0.0421  | -0.0205  | -0.0387  | -0.0129  | -0.16181 |  0.01019 | ...      | -0.0896  | -0.1168  |  0.13787 | -0.1227  | -0.0126  | -0.0526  | -0.05699 | -0.065   | -3.7e-02 | -0.0182  | \n",
+       "| PG5_9Order |  0.0171  |  0.0167  | -0.0712  | -0.10235 |  0.0476  |  0.0260  | -0.0410  | -0.0641  | -0.07948 | -0.09747 | ...      | -0.0431  | -0.0837  |  0.18534 | -0.0188  | -0.0314  | -0.0898  | -0.01354 | -0.034   |  6.2e-03 | -0.0280  | \n",
+       "| PG5_10Order | -0.0214  | -0.0112  |  0.0200  |  0.02736 |  0.0086  | -0.0017  | -0.0418  |  0.0581  | -0.05310 |  0.15949 | ...      | -0.0905  | -0.1214  |  0.22151 |  0.0427  |  0.0311  |  0.0345  |  0.02011 |  0.102   |  1.8e-02 | -0.0092  | \n",
+       "| PG5_11Order | -0.0241  | -0.0196  |  0.0190  |  0.02551 |  0.0927  | -0.0047  | -0.1043  |  0.0279  |  0.02791 | -0.03487 | ...      |  0.1233  |  0.1434  |  0.02942 | -0.0055  |  0.0210  |  0.0232  |  0.05579 | -0.038   | -2.5e-03 |  0.0275  | \n",
+       "| PG5_12Order | -0.0369  | -0.0359  |  0.0151  |  0.00743 | -0.0161  |  0.0512  |  0.0210  |  0.0464  |  0.17741 | -0.00080 | ...      |  1.0000  |  0.1231  |  0.10997 |  0.0777  |  0.0529  |  0.0149  |  0.00295 |  0.016   |  2.4e-02 |  0.0167  | \n",
+       "| PG5_13Order |  0.0598  |  0.0661  |  0.0384  |  0.04072 | -0.0280  | -0.0651  | -0.0047  | -0.0222  | -0.12890 | -0.02179 | ...      |  0.1231  |  1.0000  |  0.00976 | -0.0209  |  0.0355  |  0.0556  |  0.07229 | -0.023   |  1.3e-02 | -0.0614  | \n",
+       "| PG5Submit |  0.0851  |  0.0909  |  0.0060  | -0.00888 |  0.1767  |  0.2467  |  0.2185  |  0.2605  | -0.05214 |  0.08974 | ...      |  0.1100  |  0.0098  |  1.00000 |  0.3224  |  0.2312  |  0.2035  |  0.30291 |  0.269   |  2.4e-01 |  0.2588  | \n",
+       "| PG6Submit |  0.0054  |  0.0051  |  0.0277  |  0.04005 |  0.1518  |  0.2414  |  0.2696  |  0.2706  | -0.16179 | -0.01463 | ...      |  0.0777  | -0.0209  |  0.32240 |  1.0000  |  0.3086  |  0.2065  |  0.44528 |  0.343   |  2.8e-01 |  0.2904  | \n",
+       "| PG7Submit |  0.0776  |  0.0759  |  0.0097  |  0.01212 |  0.1365  |  0.1133  |  0.1245  |  0.1316  |  0.15596 | -0.03631 | ...      |  0.0529  |  0.0355  |  0.23120 |  0.3086  |  1.0000  |  0.1606  |  0.27819 |  0.312   |  2.8e-01 |  0.2523  | \n",
+       "| PG8Submit |  0.0441  |  0.0435  |  0.0354  |  0.02635 |  0.1258  |  0.1069  |  0.1567  |  0.1822  |  0.06953 |  0.05260 | ...      |  0.0149  |  0.0556  |  0.20351 |  0.2065  |  0.1606  |  1.0000  |  0.25569 |  0.200   |  2.1e-01 |  0.1932  | \n",
+       "| PG9Submit |  0.0410  |  0.0407  |  0.0099  |  0.00056 |  0.1758  |  0.1090  |  0.2013  |  0.2745  | -0.07292 |  0.05977 | ...      |  0.0029  |  0.0723  |  0.30291 |  0.4453  |  0.2782  |  0.2557  |  1.00000 |  0.290   |  2.8e-01 |  0.2755  | \n",
+       "| PG10Submit |  0.0474  |  0.0517  | -0.0293  | -0.04481 |  0.2248  |  0.1701  |  0.0989  |  0.1614  |  0.04433 |  0.06942 | ...      |  0.0159  | -0.0227  |  0.26881 |  0.3428  |  0.3121  |  0.2000  |  0.29018 |  1.000   |  3.5e-01 |  0.3131  | \n",
+       "| PG11Submit |  0.0790  |  0.0792  | -0.0454  | -0.07102 |  0.1093  |  0.0738  |  0.1147  |  0.1383  |  0.00084 | -0.04870 | ...      |  0.0240  |  0.0130  |  0.23552 |  0.2777  |  0.2768  |  0.2065  |  0.27906 |  0.346   |  1.0e+00 |  0.2513  | \n",
+       "| PG12Submit |  0.0746  |  0.0772  |  0.0546  |  0.04364 |  0.1096  |  0.1137  |  0.1073  |  0.1642  | -0.02721 | -0.02169 | ...      |  0.0167  | -0.0614  |  0.25876 |  0.2904  |  0.2523  |  0.1932  |  0.27550 |  0.313   |  2.5e-01 |  1.0000  | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "            Start   End     PG0Dis  PG0Shown PG0Submit PG1Submit PG2Submit\n",
+       "Start        1.0000  0.9952 -0.0417 -0.11507  0.1350    0.1156    0.0791  \n",
+       "End          0.9952  1.0000 -0.0415 -0.09879  0.1142    0.1550    0.0791  \n",
+       "PG0Dis      -0.0417 -0.0415  1.0000  0.87220  0.0153    0.0065    0.0041  \n",
+       "PG0Shown    -0.1151 -0.0988  0.8722  1.00000  0.0360    0.0205    0.0023  \n",
+       "PG0Submit    0.1350  0.1142  0.0153  0.03596  1.0000    0.1088    0.1037  \n",
+       "PG1Submit    0.1156  0.1550  0.0065  0.02047  0.1088    1.0000    0.1452  \n",
+       "PG2Submit    0.0791  0.0791  0.0041  0.00235  0.1037    0.1452    1.0000  \n",
+       "PG3Submit    0.0384  0.0511  0.0567  0.04968  0.1273    0.2688    0.2045  \n",
+       "PG4Dtr0_6    0.0121 -0.0518  0.1637  0.08226 -0.0080   -0.0685    0.0015  \n",
+       "PG4Psv7_8    0.0037 -0.0458  0.0267  0.00036 -0.0376    0.0566    0.0090  \n",
+       "PG4Prm9_10  -0.0267 -0.0267 -0.0092  0.03279 -0.0939    0.0120   -0.0587  \n",
+       "PG4AllResp   0.0063 -0.0158  0.0018 -0.02094 -0.0236    0.0297    0.0293  \n",
+       "PG4Submit    0.0187  0.0172 -0.0539 -0.05978  0.2191    0.1651    0.1515  \n",
+       "PG5_1Order   0.0218  0.0196  0.0140  0.01254 -0.0240    0.0750   -0.0069  \n",
+       "PG5_2Order   0.0014  0.0002 -0.0386 -0.03617  0.0402   -0.0226   -0.0297  \n",
+       "PG5_3Order  -0.0089 -0.0177  0.0441  0.04228  0.0155    0.0391   -0.0131  \n",
+       "PG5_4Order   0.0931  0.0949 -0.0262 -0.02214 -0.0172    0.0293    0.0560  \n",
+       "PG5_5Order  -0.0523 -0.0466 -0.0087 -0.01058  0.0860    0.0345    0.0570  \n",
+       "PG5_6Order   0.0237  0.0217 -0.0480 -0.04902  0.0762    0.0327    0.1077  \n",
+       "PG5_7Order  -0.0200 -0.0236  0.0220 -0.00444 -0.1174   -0.0815   -0.0285  \n",
+       "PG5_8Order  -0.0804 -0.0852 -0.0147 -0.00433 -0.0421   -0.0205   -0.0387  \n",
+       "PG5_9Order   0.0171  0.0167 -0.0712 -0.10235  0.0476    0.0260   -0.0410  \n",
+       "PG5_10Order -0.0214 -0.0112  0.0200  0.02736  0.0086   -0.0017   -0.0418  \n",
+       "PG5_11Order -0.0241 -0.0196  0.0190  0.02551  0.0927   -0.0047   -0.1043  \n",
+       "PG5_12Order -0.0369 -0.0359  0.0151  0.00743 -0.0161    0.0512    0.0210  \n",
+       "PG5_13Order  0.0598  0.0661  0.0384  0.04072 -0.0280   -0.0651   -0.0047  \n",
+       "PG5Submit    0.0851  0.0909  0.0060 -0.00888  0.1767    0.2467    0.2185  \n",
+       "PG6Submit    0.0054  0.0051  0.0277  0.04005  0.1518    0.2414    0.2696  \n",
+       "PG7Submit    0.0776  0.0759  0.0097  0.01212  0.1365    0.1133    0.1245  \n",
+       "PG8Submit    0.0441  0.0435  0.0354  0.02635  0.1258    0.1069    0.1567  \n",
+       "PG9Submit    0.0410  0.0407  0.0099  0.00056  0.1758    0.1090    0.2013  \n",
+       "PG10Submit   0.0474  0.0517 -0.0293 -0.04481  0.2248    0.1701    0.0989  \n",
+       "PG11Submit   0.0790  0.0792 -0.0454 -0.07102  0.1093    0.0738    0.1147  \n",
+       "PG12Submit   0.0746  0.0772  0.0546  0.04364  0.1096    0.1137    0.1073  \n",
+       "            PG3Submit PG4Dtr0_6 PG4Psv7_8 ... PG5_12Order PG5_13Order PG5Submit\n",
+       "Start        0.0384    0.01210   0.00371  ... -0.0369      0.0598      0.08512 \n",
+       "End          0.0511   -0.05185  -0.04576  ... -0.0359      0.0661      0.09088 \n",
+       "PG0Dis       0.0567    0.16368   0.02668  ...  0.0151      0.0384      0.00601 \n",
+       "PG0Shown     0.0497    0.08226   0.00036  ...  0.0074      0.0407     -0.00888 \n",
+       "PG0Submit    0.1273   -0.00802  -0.03763  ... -0.0161     -0.0280      0.17671 \n",
+       "PG1Submit    0.2688   -0.06852   0.05661  ...  0.0512     -0.0651      0.24670 \n",
+       "PG2Submit    0.2045    0.00146   0.00897  ...  0.0210     -0.0047      0.21851 \n",
+       "PG3Submit    1.0000    0.00865   0.04424  ...  0.0464     -0.0222      0.26048 \n",
+       "PG4Dtr0_6    0.0087    1.00000        NA  ...  0.1774     -0.1289     -0.05214 \n",
+       "PG4Psv7_8    0.0442         NA   1.00000  ... -0.0008     -0.0218      0.08974 \n",
+       "PG4Prm9_10  -0.0062         NA        NA  ...  0.0233      0.0916      0.00077 \n",
+       "PG4AllResp  -0.0193    1.00000   1.00000  ... -0.0306     -0.0166      0.01248 \n",
+       "PG4Submit    0.1956   -0.14272  -0.08350  ... -0.0119     -0.0376      0.27328 \n",
+       "PG5_1Order   0.0578   -0.09488  -0.01399  ... -0.0785     -0.0950      0.08054 \n",
+       "PG5_2Order   0.0048   -0.00954   0.08081  ...  0.0527     -0.0652      0.03898 \n",
+       "PG5_3Order   0.0172    0.13631   0.04396  ... -0.0698     -0.0250      0.23450 \n",
+       "PG5_4Order  -0.0462    0.01735  -0.12489  ... -0.0447     -0.0329      0.14487 \n",
+       "PG5_5Order  -0.0165    0.04533  -0.06369  ... -0.0499     -0.0981      0.28698 \n",
+       "PG5_6Order   0.0370   -0.13255   0.01662  ... -0.0430     -0.0031      0.22759 \n",
+       "PG5_7Order   0.0242   -0.16196  -0.06938  ...  0.0410      0.0944      0.06439 \n",
+       "PG5_8Order  -0.0129   -0.16181   0.01019  ... -0.0896     -0.1168      0.13787 \n",
+       "PG5_9Order  -0.0641   -0.07948  -0.09747  ... -0.0431     -0.0837      0.18534 \n",
+       "PG5_10Order  0.0581   -0.05310   0.15949  ... -0.0905     -0.1214      0.22151 \n",
+       "PG5_11Order  0.0279    0.02791  -0.03487  ...  0.1233      0.1434      0.02942 \n",
+       "PG5_12Order  0.0464    0.17741  -0.00080  ...  1.0000      0.1231      0.10997 \n",
+       "PG5_13Order -0.0222   -0.12890  -0.02179  ...  0.1231      1.0000      0.00976 \n",
+       "PG5Submit    0.2605   -0.05214   0.08974  ...  0.1100      0.0098      1.00000 \n",
+       "PG6Submit    0.2706   -0.16179  -0.01463  ...  0.0777     -0.0209      0.32240 \n",
+       "PG7Submit    0.1316    0.15596  -0.03631  ...  0.0529      0.0355      0.23120 \n",
+       "PG8Submit    0.1822    0.06953   0.05260  ...  0.0149      0.0556      0.20351 \n",
+       "PG9Submit    0.2745   -0.07292   0.05977  ...  0.0029      0.0723      0.30291 \n",
+       "PG10Submit   0.1614    0.04433   0.06942  ...  0.0159     -0.0227      0.26881 \n",
+       "PG11Submit   0.1383    0.00084  -0.04870  ...  0.0240      0.0130      0.23552 \n",
+       "PG12Submit   0.1642   -0.02721  -0.02169  ...  0.0167     -0.0614      0.25876 \n",
+       "            PG6Submit PG7Submit PG8Submit PG9Submit PG10Submit PG11Submit\n",
+       "Start        0.0054    0.0776    0.0441    0.04101   0.047      7.9e-02  \n",
+       "End          0.0051    0.0759    0.0435    0.04071   0.052      7.9e-02  \n",
+       "PG0Dis       0.0277    0.0097    0.0354    0.00995  -0.029     -4.5e-02  \n",
+       "PG0Shown     0.0401    0.0121    0.0264    0.00056  -0.045     -7.1e-02  \n",
+       "PG0Submit    0.1518    0.1365    0.1258    0.17579   0.225      1.1e-01  \n",
+       "PG1Submit    0.2414    0.1133    0.1069    0.10895   0.170      7.4e-02  \n",
+       "PG2Submit    0.2696    0.1245    0.1567    0.20127   0.099      1.1e-01  \n",
+       "PG3Submit    0.2706    0.1316    0.1822    0.27450   0.161      1.4e-01  \n",
+       "PG4Dtr0_6   -0.1618    0.1560    0.0695   -0.07292   0.044      8.4e-04  \n",
+       "PG4Psv7_8   -0.0146   -0.0363    0.0526    0.05977   0.069     -4.9e-02  \n",
+       "PG4Prm9_10  -0.0418   -0.0633   -0.0550   -0.02989  -0.061     -8.6e-05  \n",
+       "PG4AllResp  -0.0040   -0.0753   -0.1294   -0.03812  -0.106     -8.2e-02  \n",
+       "PG4Submit    0.3326    0.2775    0.1821    0.33236   0.391      2.8e-01  \n",
+       "PG5_1Order   0.0334    0.0173   -0.0388    0.01033  -0.096     -2.5e-02  \n",
+       "PG5_2Order  -0.0571   -0.0551   -0.0567   -0.01925   0.015      7.3e-03  \n",
+       "PG5_3Order   0.0419    0.0058   -0.0086    0.02604   0.063      3.4e-02  \n",
+       "PG5_4Order   0.0414    0.0460    0.0182   -0.03734  -0.075     -8.6e-02  \n",
+       "PG5_5Order   0.0498    0.0372    0.0427   -0.02976   0.076      2.4e-02  \n",
+       "PG5_6Order   0.0165    0.0222    0.0639   -0.02974   0.015      2.8e-02  \n",
+       "PG5_7Order  -0.0222   -0.1082   -0.0804   -0.01762  -0.017     -4.4e-02  \n",
+       "PG5_8Order  -0.1227   -0.0126   -0.0526   -0.05699  -0.065     -3.7e-02  \n",
+       "PG5_9Order  -0.0188   -0.0314   -0.0898   -0.01354  -0.034      6.2e-03  \n",
+       "PG5_10Order  0.0427    0.0311    0.0345    0.02011   0.102      1.8e-02  \n",
+       "PG5_11Order -0.0055    0.0210    0.0232    0.05579  -0.038     -2.5e-03  \n",
+       "PG5_12Order  0.0777    0.0529    0.0149    0.00295   0.016      2.4e-02  \n",
+       "PG5_13Order -0.0209    0.0355    0.0556    0.07229  -0.023      1.3e-02  \n",
+       "PG5Submit    0.3224    0.2312    0.2035    0.30291   0.269      2.4e-01  \n",
+       "PG6Submit    1.0000    0.3086    0.2065    0.44528   0.343      2.8e-01  \n",
+       "PG7Submit    0.3086    1.0000    0.1606    0.27819   0.312      2.8e-01  \n",
+       "PG8Submit    0.2065    0.1606    1.0000    0.25569   0.200      2.1e-01  \n",
+       "PG9Submit    0.4453    0.2782    0.2557    1.00000   0.290      2.8e-01  \n",
+       "PG10Submit   0.3428    0.3121    0.2000    0.29018   1.000      3.5e-01  \n",
+       "PG11Submit   0.2777    0.2768    0.2065    0.27906   0.346      1.0e+00  \n",
+       "PG12Submit   0.2904    0.2523    0.1932    0.27550   0.313      2.5e-01  \n",
+       "            PG12Submit\n",
+       "Start        0.0746   \n",
+       "End          0.0772   \n",
+       "PG0Dis       0.0546   \n",
+       "PG0Shown     0.0436   \n",
+       "PG0Submit    0.1096   \n",
+       "PG1Submit    0.1137   \n",
+       "PG2Submit    0.1073   \n",
+       "PG3Submit    0.1642   \n",
+       "PG4Dtr0_6   -0.0272   \n",
+       "PG4Psv7_8   -0.0217   \n",
+       "PG4Prm9_10   0.0169   \n",
+       "PG4AllResp  -0.0668   \n",
+       "PG4Submit    0.2360   \n",
+       "PG5_1Order   0.0238   \n",
+       "PG5_2Order   0.0469   \n",
+       "PG5_3Order   0.0538   \n",
+       "PG5_4Order  -0.0211   \n",
+       "PG5_5Order   0.0085   \n",
+       "PG5_6Order   0.0539   \n",
+       "PG5_7Order  -0.0617   \n",
+       "PG5_8Order  -0.0182   \n",
+       "PG5_9Order  -0.0280   \n",
+       "PG5_10Order -0.0092   \n",
+       "PG5_11Order  0.0275   \n",
+       "PG5_12Order  0.0167   \n",
+       "PG5_13Order -0.0614   \n",
+       "PG5Submit    0.2588   \n",
+       "PG6Submit    0.2904   \n",
+       "PG7Submit    0.2523   \n",
+       "PG8Submit    0.1932   \n",
+       "PG9Submit    0.2755   \n",
+       "PG10Submit   0.3131   \n",
+       "PG11Submit   0.2513   \n",
+       "PG12Submit   1.0000   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#get numeric fields only for correlation\n",
+    "sel = c()\n",
+    "for (i in 1:dim(data)[2]) if (is.numeric(data[,i])) sel = c(sel, i);\n",
+    "\n",
+    "\n",
+    "cor(data[,sel],method=\"spearman\",use=\"pairwise.complete.obs\"); #OK for any: uses ranks"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Interpret correlations: onlys start vs End, calculate differene instead\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "collapsed": true
+   },
+   "source": [
+    "### Simple questions\n",
+    "\n",
+    "- Time to take entire survey?\n",
+    "- Question that took the longest to complete?\n",
+    "- Question that took the least time?\n",
+    "- Top-ranked criteria?\n",
+    "- Demographic distribution by age?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Exploration of the Data\n",
+    "\n",
+    "I plot the response frequencies to get a better understanding of the distribution of the data."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 120,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Only examine the non-empty responses.\n",
+    "#print(dim(data))\n",
+    "mydim <- data[,28]\n",
+    "#print(data[,29])\n",
+    "sum <- 0\n",
+    "not <- 0\n",
+    "low <- 0\n",
+    "med <- 0\n",
+    "hgh <- 0\n",
+    "ess <- 0\n",
+    "for (i in 1:dim(data)[1]) {\n",
+    "    if (mydim[i] != \"\") {\n",
+    "        if(mydim[i] == \"Not a Priority\")\n",
+    "        {\n",
+    "            not <- not + 1\n",
+    "        }\n",
+    "        else if(mydim[i] == \"Low Priority\")\n",
+    "        {\n",
+    "            low <- low + 1\n",
+    "        }\n",
+    "        else if(mydim[i] == \"Medium Priority\")\n",
+    "        {\n",
+    "            med <- med + 1\n",
+    "        }\n",
+    "        else if(mydim[i] == \"High Priority\")\n",
+    "        {\n",
+    "            hgh <- hgh + 1\n",
+    "        }\n",
+    "        else #if(mydim[i] == \"Essential\")\n",
+    "        {\n",
+    "            ess <- ess + 1\n",
+    "        }\n",
+    "        \n",
+    "        sum <- sum + 1\n",
+    "        #print(paste(\"[\",i,\"]=\",mydim[i]));\n",
+    "    }\n",
+    "}\n",
+    "\n",
+    "valids = vector(,length=sum)\n",
+    "ctr <- 1\n",
+    "for (i in 1:dim(data)[1]) {\n",
+    "    if (mydim[i] != \"\") {\n",
+    "        valids[ctr] <- i;\n",
+    "        ctr <- ctr +1;\n",
+    "    }\n",
+    "}\n",
+    "#print(sum)\n",
+    "#print(not)\n",
+    "#print(low)\n",
+    "#print(med)\n",
+    "#print(hgh)\n",
+    "#print(ess)\n",
+    "#print(histo)\n",
+    "#hist(data$PG5_3HDS)\n",
+    "#hist(histo)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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",
+      "text/plain": [
+       "Plot with title \"Frequency of Choice\""
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Build the histogram.\n",
+    "histo <- c(not, low, med, hgh, ess)\n",
+    "histo <- histo/sum\n",
+    "\n",
+    "# Standardize the data.\n",
+    "avg <- 0\n",
+    "expec_sq <- 0\n",
+    "for (i in 1:5) {\n",
+    "    avg <- avg + i*histo[i];\n",
+    "    expec_sq <- expec_sq + i*i*histo[i];\n",
+    "}\n",
+    "std_dev <- expec_sq - (avg*avg)\n",
+    "\n",
+    "#print(avg)\n",
+    "#print(std_dev)\n",
+    "\n",
+    "x_1 <- (1-avg)/std_dev\n",
+    "x_2 <- (2-avg)/std_dev\n",
+    "x_3 <- (3-avg)/std_dev\n",
+    "x_4 <- (4-avg)/std_dev\n",
+    "x_5 <- (5-avg)/std_dev\n",
+    "\n",
+    "# Plot the histogram.\n",
+    "xvals = c(x_1, x_2, x_3, x_4, x_5)\n",
+    "names(histo) <- c(\"1 - Not a Priority\", \"2 - Low Priority\", \"3 - Med. Priority\", \"4 - High Priority\", \"5 - Essential\")\n",
+    "#namelab <- c(\"1 - Not Priority\", \"2 - Low Priority\", \"3 - Med. Priority\", \"4 - High Priority\", \"5 - Essential\")\n",
+    "#names(histo) <- c(\"1\", \"2\", \"3\", \"4\", \"5\")\n",
+    "plt <- barplot(histo, ylab=\"Frequency\", main=\"Frequency of Choice\", col=\"blue3\", cex.names=0.75)\n",
+    "#text(plt, namelab, srt=60)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nGE4UIyajAAAAAElFTkSuQmCC",
+      "text/plain": [
+       "Plot with title \"Frequency of Choice - Standardized\""
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Plot against standardized data.\n",
+    "plot(xvals, histo, xlab=\"Standardized Input\", ylab=\"Frequency\", main=\"Frequency of Choice - Standardized\", col=\"red\")\n",
+    "lines(xvals, histo)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Observations\n",
+    "\n",
+    "The responses are skewed to the right. This means that there are more survey respondents who found helpful discussion on StackExchange to be a higher priority than there are who found it to be a lower priority. Standardizing these results does not change the skewness of the distribution."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Explanation of How Measures are Calculated from the Data, Transformation, and Cleaning\n",
+    "\n",
+    "Calculations and cleaning are both done is this segment of code. First, I only parse the data samples for which a response was given. Then, I encode the answer options from the survey into numerical values. These values are in the interval [0,8], where '0' represents not answered (for optional questions) or the first choice (for required questions). In this scenario, the cleaning of the data is the replacement of missing values by '0'. '8' represents \"other.\" The other values are the relative placement of the answer choice in the given options scaled in the range [0,8]. For example, if there are three answer choices for a required question, then if the respondent selects the first answer, then the encoded value is '0'; if he or she selects the second, then the value is '4' (50% of 8); and if he or she selects the third, then the value is '8'."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 269,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Pair down data before running this next line.\n",
+    "data[is.na(data)] <- \"\"\n",
+    "\n",
+    "# Convert non-numeric values to numeric values.\n",
+    "for (i in 1:dim(data)[1]) {\n",
+    "    for (j in 1:dim(data)[2]) {\n",
+    "        #print(i+j)\n",
+    "        #print(is.na(data[i,][j]))\n",
+    "        #if( is.na(data[i,][j]) == FALSE )\n",
+    "        if( data[i,][j] != \"\")\n",
+    "        {\n",
+    "            # Generic cases:\n",
+    "            if ( data[i,][j] == \"Not a Priority\" || data[i,][j] == \"Less than 2 years\" || data[i,][j] == \"R\" || data[i,][j] == \"C/C++\" || data[i,][j] == \"Java\" || data[i,][j] == \"Python\" || data[i,][j] == \"Javascript\" || data[i,][j] == \"Go\" || data[i,][j] == \"C#\" || data[i,][j] == \"1\" || data[i,][j] == \"Native\" || data[i,][j] == \"18 - 24\" || data[i,][j] == \"For personal work and/or research use\" || data[i,][j] == \"For a wider audience, such as developers of other packages or other software\" || data[i,][j] == \"For a training / class that I took\") {\n",
+    "                newdata[i,][j] <- 1;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Low Priority\"    || data[i,][j] == \"2 - 5 years\" || data[i,][j] == \"2 - 3\" || data[i,][j] == \"Not native - full working proficiency\" || data[i,][j] == \"25 - 34\") {\n",
+    "                newdata[i,][j] <- 2;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Medium Priority\" || data[i,][j] == \"6 - 8 years\" || data[i,][j] == \"4 - 6\" || data[i,][j] == \"Not native - sufficient working proficiency\" || data[i,][j] == \"35 - 44\") {\n",
+    "                newdata[i,][j] <- 3;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"High Priority\"   || data[i,][j] == \"9 - 12 years\" || data[i,][j] == \"7 - 10\" || data[i,][j] == \"Not native - limited working proficiency\" || data[i,][j] == \"45 - 54\") {\n",
+    "                newdata[i,][j] <- 4;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Essential\"       || data[i,][j] == \"13 - 19 years\" || data[i,][j] == \"11 - 15\" || data[i,][j] == \"Not native - passable\" || data[i,][j] == \"55 - 64\") {\n",
+    "                newdata[i,][j] <- 5;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"20 years or more\" || data[i,][j] == \"16 - 25\" || data[i,][j] == \"Not native - very limited\" || data[i,][j] == \"65 and over\") {\n",
+    "                newdata[i,][j] <- 6;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"More than 25\") {\n",
+    "                newdata[i,][j] <- 7;\n",
+    "            }\n",
+    "            else # Not sure\n",
+    "            {\n",
+    "                newdata[i,][j] <- 8;\n",
+    "            }\n",
+    "            \n",
+    "            # Special cases:\n",
+    "            if( data[i,][j] == \"Yes\" || data[i,][j] == \"Software Engineer\" || data[i,][j] == \"The core \\\"data.frame\\\" object lacked functionality that I needed\") {\n",
+    "                newdata[i,][j] <- 0.0;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Female\" || data[i,][j] == \"Chose the package to be compatible with other packages in my project\") {\n",
+    "                newdata[i,][j] <- 2.0;                \n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Data Scientist\" || data[i,][j] == \"No\" || data[i,][j] == \"Male\" || data[i,][j] == \"I saw a recommendation for the package\" ) {\n",
+    "                newdata[i,][j] <- 4.0;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Prefer not to answer\" || data[i,][j] == \"I didn't choose to use the package, it was included implicitly / unintentionally\" ) {\n",
+    "                newdata[i,][j] <- 6.0;\n",
+    "            }\n",
+    "        }\n",
+    "        else\n",
+    "        {\n",
+    "            newdata[i,][j] <- 0; # Denotes missing value.\n",
+    "        }\n",
+    "    }\n",
+    "}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 382,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Create the data frame for the regression.\n",
+    "cleandata = newdata[valids,]\n",
+    "indexointerest = c(8,9,10,11,13,15,62,64,65,66,67,68,69,70,73,75,77,79,81)\n",
+    "indexoaug = c(indexointerest, 28)\n",
+    "\n",
+    "y <- cleandata[,28]\n",
+    "x <- cleandata[,indexointerest]\n",
+    "aug <- cleandata[,indexoaug]\n",
+    "augfrm <- as.data.frame(aug)\n",
+    "aug <- augfrm"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Correlation Analysis Using Sanitized Data\n",
+    "\n",
+    "We examine the correlations to estimate the most influential predictors. There are no highly correlated measures and therefore none of them need to be dropped."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 383,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [],
+      "text/latex": [],
+      "text/markdown": [],
+      "text/plain": [
+       "<0 x 0 matrix>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Find all correlations.\n",
+    "#cor(aug,method=\"spearman\",use=\"pairwise.complete.obs\"); #OK for any: uses ranks\n",
+    "\n",
+    "# Find top correlations.\n",
+    "hiCor <- function(x, level){\n",
+    "  res <- cor(x,method=\"spearman\");\n",
+    "  res1 <- res;\n",
+    "  res1[res<0] <- -res[res < 0];\n",
+    "  for (i in 1:dim(x)[2]){\n",
+    "    res1[i,i] <- 0;\n",
+    "  }\n",
+    "  sel <- apply(res1,1,max) > level;\n",
+    "  res[sel,sel];\n",
+    "}\n",
+    "\n",
+    "hiCor(aug,.7)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Perform Principal Component Analysis\n",
+    "\n",
+    "We use Principal Component Analysis to reduce the dimensionality of the data. By inspection of the plot of the Fraction of Variance explained, we see that the first eleven principal components explain 70% of the variance. The relatively gradual progression of variance explained indicates that the variables are relatively independent."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 384,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "      V7  V16  V19\n",
+      "PC1 0.51 0.49 0.31\n",
+      "      V1    V3   V4   V11\n",
+      "PC2 0.36 -0.35 0.37 -0.39\n",
+      "       V1   V2   V8  V14\n",
+      "PC3 -0.34 0.37 0.33 0.42\n",
+      "       V1    V4    V6   V12   V17\n",
+      "PC4 -0.39 -0.37 -0.31 -0.32 -0.32\n",
+      "     V17  V18\n",
+      "PC5 0.51 0.62\n",
+      "      V3   V5  V11  V15\n",
+      "PC6 0.48 0.36 0.31 0.32\n",
+      "       V6   V10  V20\n",
+      "PC7 -0.54 -0.31 0.45\n",
+      "       V2   V3   V8  V19\n",
+      "PC8 -0.49 0.39 0.37 0.39\n",
+      "     V5 V13\n",
+      "PC9 0.4 0.8\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\nc70AAAAASUVORK5CYII=",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#augfrm <- as.data.frame(aug)\n",
+    "#logs <- cbind(augfrm$V20, log(augfrm$V1+1), log(augfrm$V2+1), log(augfrm$V3+1), log(augfrm$V4+1),\n",
+    "#              log(augfrm$V5+1), log(augfrm$V6+1), log(augfrm$V7+1), log(augfrm$V8+1), log(augfrm$V9+1),\n",
+    "#              log(augfrm$V10+1), log(augfrm$V11+1), log(augfrm$V12+1), log(augfrm$V13+1), log(augfrm$V14+1),\n",
+    "#              log(augfrm$V15+1), log(augfrm$V16+1), log(augfrm$V17+1), log(augfrm$V18+1), log(augfrm$V19+1));\n",
+    "#aug <- data.frame(logs)\n",
+    "#augfrm <- aug\n",
+    "plot(1:20,cumsum(prcomp(aug, retx=F,scale=T)$sdev^2)/sum(prcomp(aug, retx=F,scale=T)$sdev^2),ylim=c(0,1),xlab=\"Number of Components\",ylab=\"Fraction of Variance\");\n",
+    "\n",
+    "#cumsum(prcomp(x, retx=F,scale=T)$sdev^2)/sum(prcomp(x, retx=F,scale=T)$sdev^2)\n",
+    "res<-prcomp(aug, retx=F,scale=T)$rotation[,1:9];\n",
+    "resAbs <- res;\n",
+    "resAbs[res<0] <- -res[res<0];\n",
+    "for (i in 1:9)\n",
+    "  print(t(res[resAbs[,i]>.3,i,drop=FALSE]));"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Regress Predictors"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 385,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>V7</th><td> 7  </td><td>0.38</td></tr>\n",
+       "\t<tr><th scope=row>V16</th><td>16  </td><td>0.34</td></tr>\n",
+       "\t<tr><th scope=row>V19</th><td>19  </td><td>0.15</td></tr>\n",
+       "\t<tr><th scope=row>V11</th><td>11  </td><td>0.13</td></tr>\n",
+       "\t<tr><th scope=row>V14</th><td>14  </td><td>0.13</td></tr>\n",
+       "\t<tr><th scope=row>V15</th><td>15  </td><td>0.13</td></tr>\n",
+       "\t<tr><th scope=row>V12</th><td>12  </td><td>0.12</td></tr>\n",
+       "\t<tr><th scope=row>V9</th><td> 9  </td><td>0.11</td></tr>\n",
+       "\t<tr><th scope=row>V3</th><td> 3  </td><td>0.08</td></tr>\n",
+       "\t<tr><th scope=row>V18</th><td>18  </td><td>0.08</td></tr>\n",
+       "\t<tr><th scope=row>V10</th><td>10  </td><td>0.07</td></tr>\n",
+       "\t<tr><th scope=row>V6</th><td> 6  </td><td>0.06</td></tr>\n",
+       "\t<tr><th scope=row>V2</th><td> 2  </td><td>0.05</td></tr>\n",
+       "\t<tr><th scope=row>V4</th><td> 4  </td><td>0.05</td></tr>\n",
+       "\t<tr><th scope=row>V8</th><td> 8  </td><td>0.05</td></tr>\n",
+       "\t<tr><th scope=row>V17</th><td>17  </td><td>0.05</td></tr>\n",
+       "\t<tr><th scope=row>V20</th><td>20  </td><td>0.04</td></tr>\n",
+       "\t<tr><th scope=row>V5</th><td> 5  </td><td>0.03</td></tr>\n",
+       "\t<tr><th scope=row>V13</th><td>13  </td><td>0.02</td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|ll}\n",
+       "\tV7 &  7   & 0.38\\\\\n",
+       "\tV16 & 16   & 0.34\\\\\n",
+       "\tV19 & 19   & 0.15\\\\\n",
+       "\tV11 & 11   & 0.13\\\\\n",
+       "\tV14 & 14   & 0.13\\\\\n",
+       "\tV15 & 15   & 0.13\\\\\n",
+       "\tV12 & 12   & 0.12\\\\\n",
+       "\tV9 &  9   & 0.11\\\\\n",
+       "\tV3 &  3   & 0.08\\\\\n",
+       "\tV18 & 18   & 0.08\\\\\n",
+       "\tV10 & 10   & 0.07\\\\\n",
+       "\tV6 &  6   & 0.06\\\\\n",
+       "\tV2 &  2   & 0.05\\\\\n",
+       "\tV4 &  4   & 0.05\\\\\n",
+       "\tV8 &  8   & 0.05\\\\\n",
+       "\tV17 & 17   & 0.05\\\\\n",
+       "\tV20 & 20   & 0.04\\\\\n",
+       "\tV5 &  5   & 0.03\\\\\n",
+       "\tV13 & 13   & 0.02\\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| V7 |  7   | 0.38 | \n",
+       "| V16 | 16   | 0.34 | \n",
+       "| V19 | 19   | 0.15 | \n",
+       "| V11 | 11   | 0.13 | \n",
+       "| V14 | 14   | 0.13 | \n",
+       "| V15 | 15   | 0.13 | \n",
+       "| V12 | 12   | 0.12 | \n",
+       "| V9 |  9   | 0.11 | \n",
+       "| V3 |  3   | 0.08 | \n",
+       "| V18 | 18   | 0.08 | \n",
+       "| V10 | 10   | 0.07 | \n",
+       "| V6 |  6   | 0.06 | \n",
+       "| V2 |  2   | 0.05 | \n",
+       "| V4 |  4   | 0.05 | \n",
+       "| V8 |  8   | 0.05 | \n",
+       "| V17 | 17   | 0.05 | \n",
+       "| V20 | 20   | 0.04 | \n",
+       "| V5 |  5   | 0.03 | \n",
+       "| V13 | 13   | 0.02 | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "    [,1] [,2]\n",
+       "V7   7   0.38\n",
+       "V16 16   0.34\n",
+       "V19 19   0.15\n",
+       "V11 11   0.13\n",
+       "V14 14   0.13\n",
+       "V15 15   0.13\n",
+       "V12 12   0.12\n",
+       "V9   9   0.11\n",
+       "V3   3   0.08\n",
+       "V18 18   0.08\n",
+       "V10 10   0.07\n",
+       "V6   6   0.06\n",
+       "V2   2   0.05\n",
+       "V4   4   0.05\n",
+       "V8   8   0.05\n",
+       "V17 17   0.05\n",
+       "V20 20   0.04\n",
+       "V5   5   0.03\n",
+       "V13 13   0.02"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Analyze aug.\n",
+    "#augfrm <- as.data.frame(aug)\n",
+    "# Swap columns so that response variable is the first.\n",
+    "#augfrm <- augfrm[,c(\"V20\",\"V1\",\"V2\",\"V3\",\"V4\",\"V5\",\"V6\",\"V7\",\"V8\",\"V9\",\"V10\",\"V11\",\"V12\",\"V13\",\"V14\",\"V15\",\"V16\",\"V17\",\"V18\",\"V19\")]\n",
+    "\n",
+    "res <- c();\n",
+    "vnam <- names(augfrm);\n",
+    "#print(vnam)\n",
+    "for (i in 2:dim(augfrm)[2]){\n",
+    "  fmla <- as.formula(paste(vnam[i],paste(vnam[-c(1,i)],collapse=\"+\"),sep=\"~\"));\n",
+    "  res <- rbind(res,c(i,round(summary(lm(fmla,data=augfrm))$r.squared,2)));\n",
+    "}\n",
+    "row.names(res) <- vnam[res[,1]];\n",
+    "res[order(-res[,2]),];\n",
+    "#print(augfrm)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Fitting of the Statistical Model\n",
+    "\n",
+    "We do the regression to select a model. Interestingly, the best model was found to be the quasipoisson distribution of the single variable, which is the respondents' answer to question three: \"Which of the following is the closest to why you chose that package?\" The p-value is within the threshold of statistical significance, and the error is minimized using this model."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 388,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "fmla ~ V20 ~ V6"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#fmla ~ V20 ~ V1+V2+V3+V4+V5+V6+V7+V8+V9+V10+V11+V12+V13+V14+V15+V16+V17+V18+V19\n",
+    "#fmla ~ V20 ~ V6\n",
+    "fmla ~ V20 ~ V6"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 394,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "\n",
+       "Call:\n",
+       "glm(formula = V20 ~ V6, family = quasipoisson, data = augfrm)\n",
+       "\n",
+       "Deviance Residuals: \n",
+       "   Min      1Q  Median      3Q     Max  \n",
+       "-1.576  -0.270   0.265   0.375   0.909  \n",
+       "\n",
+       "Coefficients:\n",
+       "            Estimate Std. Error t value Pr(>|t|)    \n",
+       "(Intercept)  1.25058    0.01872   66.81   <2e-16 ***\n",
+       "V6          -0.00962    0.00457   -2.11    0.036 *  \n",
+       "---\n",
+       "Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n",
+       "\n",
+       "(Dispersion parameter for quasipoisson family taken to be 0.4)\n",
+       "\n",
+       "    Null deviance: 262.33  on 584  degrees of freedom\n",
+       "Residual deviance: 260.55  on 583  degrees of freedom\n",
+       "AIC: NA\n",
+       "\n",
+       "Number of Fisher Scoring iterations: 4\n"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "library(mgcv)\n",
+    "library(MASS)\n",
+    "#mod <- glm(V20 ~ V1+V2+V3+V4+V5+V6+V7+V8+V9+V10+V11+V12+V13+V14+V15+V16+V17+V18+V19,family=Gamma,data=augfrm);\n",
+    "#mod <- lm(V20 ~ V1+V2+V3+V4+V5+V6+V7+V8+V9+V10+V11+V12+V13+V14+V15+V16+V17+V18+V19,data=augfrm);\n",
+    "#summary(mod);\n",
+    "#mod <- glm(V20 ~ V16+V17,family=quasibinomial,data=augfrm);\n",
+    "#mod <- glm(V20 ~ V6+V16+V17,family=quasibinomial,data=augfrm);\n",
+    "#mod <- glm(V20 ~ V6,family=quasibinomial,data=augfrm);   #-- good\n",
+    "#summary(mod);\n",
+    "#mod <- glm(V20 ~ V6,family=inverse.gaussian,data=augfrm); #-- good\n",
+    "#summary(mod);\n",
+    "#mod <- glm(V20 ~ V6,family=gaussian,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "#---------------\n",
+    "mod <- glm(V20 ~ V6,family=quasipoisson,data=augfrm);    #-- good\n",
+    "summary(mod);\n",
+    "#mod <- glm(V20 ~ V6,family=Gamma,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "#mod <- glm.nb(V20 ~ V6,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "###start\n",
+    "#augfrm$V20 <- augfrm$V20/5.0\n",
+    "#mod <- glm(V20 ~ V6,family=quasibinomial,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "###end\n",
+    "#mod <- glm(V20 ~ V6,family=quasi,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "##\n",
+    "mod <- lm(V20 ~ V6,data=augfrm);    #-- good\n",
+    "##summary(mod);\n",
+    "##mod <- lm(V20 ~ V7+V16+V19,data=augfrm);    #-- good\n",
+    "##summary(mod);\n",
+    "#mod <- glm(V20 ~ V7+V16+V19,family=quasipoisson,data=augfrm);    #-- good\n",
+    "#summary(mod);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Interpretation of the Coefficients\n",
+    "\n",
+    "For this model, there are only two coefficients, including the intercept, due to the model being represented most accurately using a single variable. The intercept is 1.25125, and the slope of the variable corresponding to the answers for question three is -0.00966. This means that as the sought-out need of the package decreased, the helpfulness of the discussion on StackExchange increased. This is interesting because it seems to be more intuitive that if a package is more sought-out, then one might be more likely benefit from helpful discussion. This was not the case, however."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 390,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Deviance</th><th scope=col>Resid. Df</th><th scope=col>Resid. Dev</th><th scope=col>Pr(&gt;Chi)</th></tr></thead>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>NULL</th><td>NA   </td><td> NA  </td><td>584  </td><td>262  </td><td>   NA</td></tr>\n",
+       "\t<tr><th scope=row>V6</th><td> 1   </td><td>1.8  </td><td>583  </td><td>261  </td><td>0.035</td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|lllll}\n",
+       "  & Df & Deviance & Resid. Df & Resid. Dev & Pr(>Chi)\\\\\n",
+       "\\hline\n",
+       "\tNULL & NA    &  NA   & 584   & 262   &    NA\\\\\n",
+       "\tV6 &  1    & 1.8   & 583   & 261   & 0.035\\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| <!--/--> | Df | Deviance | Resid. Df | Resid. Dev | Pr(>Chi) | \n",
+       "|---|---|\n",
+       "| NULL | NA    |  NA   | 584   | 262   |    NA | \n",
+       "| V6 |  1    | 1.8   | 583   | 261   | 0.035 | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "     Df Deviance Resid. Df Resid. Dev Pr(>Chi)\n",
+       "NULL NA  NA      584       262           NA   \n",
+       "V6    1 1.8      583       261        0.035   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Deviance</th><th scope=col>Resid. Df</th><th scope=col>Resid. Dev</th><th scope=col>Pr(&gt;Chi)</th></tr></thead>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>NULL</th><td>NA   </td><td> NA  </td><td>584  </td><td>262  </td><td>   NA</td></tr>\n",
+       "\t<tr><th scope=row>V6</th><td> 1   </td><td>1.8  </td><td>583  </td><td>261  </td><td>0.035</td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|lllll}\n",
+       "  & Df & Deviance & Resid. Df & Resid. Dev & Pr(>Chi)\\\\\n",
+       "\\hline\n",
+       "\tNULL & NA    &  NA   & 584   & 262   &    NA\\\\\n",
+       "\tV6 &  1    & 1.8   & 583   & 261   & 0.035\\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| <!--/--> | Df | Deviance | Resid. Df | Resid. Dev | Pr(>Chi) | \n",
+       "|---|---|\n",
+       "| NULL | NA    |  NA   | 584   | 262   |    NA | \n",
+       "| V6 |  1    | 1.8   | 583   | 261   | 0.035 | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "     Df Deviance Resid. Df Resid. Dev Pr(>Chi)\n",
+       "NULL NA  NA      584       262           NA   \n",
+       "V6    1 1.8      583       261        0.035   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Deviance</th><th scope=col>scaled dev.</th><th scope=col>Pr(&gt;Chi)</th></tr></thead>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>&lt;none&gt;</th><td>NA   </td><td>261  </td><td> NA  </td><td>   NA</td></tr>\n",
+       "\t<tr><th scope=row>V6</th><td> 1   </td><td>262  </td><td>4.5  </td><td>0.035</td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|llll}\n",
+       "  & Df & Deviance & scaled dev. & Pr(>Chi)\\\\\n",
+       "\\hline\n",
+       "\t<none> & NA    & 261   &  NA   &    NA\\\\\n",
+       "\tV6 &  1    & 262   & 4.5   & 0.035\\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| <!--/--> | Df | Deviance | scaled dev. | Pr(>Chi) | \n",
+       "|---|---|\n",
+       "| <none> | NA    | 261   |  NA   |    NA | \n",
+       "| V6 |  1    | 262   | 4.5   | 0.035 | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "       Df Deviance scaled dev. Pr(>Chi)\n",
+       "<none> NA 261       NA            NA   \n",
+       "V6      1 262      4.5         0.035   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "anova(mod, test=\"Chi\");\n",
+    "anova(mod, test=\"Chisq\");\n",
+    "drop1(mod, test=\"Chi\");\n",
+    "library(car)\n",
+    "#vif(mod);"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 391,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#ys <- augfrm$V20\n",
+    "#xs <- augfrm$V6\n",
+    "#print(ys)\n",
+    "#print(xs)\n",
+    "#plot(xs,ys,ylim=c(0,20),xlab=\"Measure\",ylab=\"Response\");\n",
+    "#plot(V20 ~ V6, augfrm)\n",
+    "#plot(V20 ~ V6, augfrm)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Recommendations for how to improve the survey:\n",
+    "\n",
+    "It may be useful to ask those who are taking the survey if they had trouble answering any of the questions. Some of them may have taken longer to complete certain questions by virtue of the questions having different forms (e.g. click-and-drag vs multiple choice). There could also be an option for \"Other\" or \"I don't know\" for more of the questions. This could potentially help remove noise in the data if a person did not know to which category an idea should belong (the form of question PG5_3HDS) - as in the case of  the third question. There could also be a final question regarding how thoroughly they believe their thoughts to this survey are captured by their responses. If a survey respondent has 'very limited' English proficiency, then there may be noise in the survey data by virtue of them not being able to fully understand the questions and answers. "
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "R",
+   "language": "R",
+   "name": "ir"
+  },
+  "language_info": {
+   "codemirror_mode": "r",
+   "file_extension": ".r",
+   "mimetype": "text/x-r-source",
+   "name": "R",
+   "pygments_lexer": "r",
+   "version": "3.4.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 1
+}
diff --git a/dbarry.ipynb b/dbarry.ipynb
new file mode 100644
index 0000000..1f8b07e
--- /dev/null
+++ b/dbarry.ipynb
@@ -0,0 +1,1389 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "A Survey on Technology Choice\n",
+    "======\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Hypothesis\n",
+    "\n",
+    "I think the priority of helpful discussion on StackExchange is going to be affected by development experience and English proficiency."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# For nicer printing\n",
+    "options(digits=2);"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Read in the data\n",
+    "data <- read.csv(\"TechSurvey - Survey.csv\",header=T);\n",
+    "\n",
+    "#convert date to unix second\n",
+    "for (i in c(\"Start\", \"End\")) \n",
+    "    data[,i] = as.numeric(as.POSIXct(strptime(data[,i], \"%Y-%m-%d %H:%M:%S\")))\n",
+    "for (i in 0:12){\n",
+    "    vnam = paste(c(\"PG\",i,\"Submit\"), collapse=\"\")\n",
+    "    data[,vnam] = as.numeric(as.POSIXct(strptime(data[,vnam], \"%Y-%m-%d %H:%M:%S\")))\n",
+    "}\n",
+    "#calculate differences in time    \n",
+    "for (i in 12:0){\n",
+    "    pv = paste(c(\"PG\",i-1,\"Submit\"), collapse=\"\");\n",
+    "    if (i==0) \n",
+    "        pv=\"Start\";\n",
+    "    vnam = paste(c(\"PG\",i,\"Submit\"), collapse=\"\");\n",
+    "    data[,vnam] = data[,vnam] -data[,pv];\n",
+    "}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "     Device    Completed       Start               End               PG0Dis   \n",
+       "        :  2   0    :  2   Min.   :1.54e+09   Min.   :1.54e+09   Min.   :  0  \n",
+       " Bot    :  1   FALSE:546   1st Qu.:1.54e+09   1st Qu.:1.54e+09   1st Qu.:  0  \n",
+       " PC     :955   TRUE :805   Median :1.54e+09   Median :1.54e+09   Median :  1  \n",
+       " Phone  :376               Mean   :1.54e+09   Mean   :1.54e+09   Mean   : 44  \n",
+       " Tablet : 16               3rd Qu.:1.54e+09   3rd Qu.:1.54e+09   3rd Qu.: 24  \n",
+       " Unknown:  3               Max.   :1.54e+09   Max.   :1.54e+09   Max.   :168  \n",
+       "                           NA's   :2          NA's   :548        NA's   :73   \n",
+       "    PG0Shown      PG0Submit    \n",
+       " Min.   :   0   Min.   :    2  \n",
+       " 1st Qu.:   0   1st Qu.:    6  \n",
+       " Median : 102   Median :    9  \n",
+       " Mean   : 249   Mean   :  299  \n",
+       " 3rd Qu.: 428   3rd Qu.:   15  \n",
+       " Max.   :1190   Max.   :76226  \n",
+       " NA's   :73     NA's   :199    \n",
+       "                                       PG1PsnUse  \n",
+       " For personal work and/or research use      :727  \n",
+       "                                            :613  \n",
+       " Chapter book                               :  1  \n",
+       " For training attendees of my sessions      :  1  \n",
+       " It's a coures on tidyverse that I developed:  1  \n",
+       " Learning how to create a package           :  1  \n",
+       " (Other)                                    :  9  \n",
+       "                                                                        PG1WdAuth   \n",
+       "                                                                             :1145  \n",
+       " Because Microsoft was paying me to do it                                    :   1  \n",
+       " For a wider audience, such as developers of other packages or other software: 205  \n",
+       " Hackathon                                                                   :   1  \n",
+       " Tool for other researchers to analyse their data                            :   1  \n",
+       "                                                                                    \n",
+       "                                                                                    \n",
+       "                                PG1Trn    \n",
+       "                                   :1168  \n",
+       " For a training / class that I took: 184  \n",
+       " teaching economics                :   1  \n",
+       "                                          \n",
+       "                                          \n",
+       "                                          \n",
+       "                                          \n",
+       "                                                               PG1Other   \n",
+       "                                                                   :1272  \n",
+       " Other                                                             :  23  \n",
+       " Teaching                                                          :   3  \n",
+       " teaching                                                          :   3  \n",
+       " For training that I gave                                          :   2  \n",
+       " How does software technology spreads in the open source community?:   2  \n",
+       " (Other)                                                           :  48  \n",
+       "   PG1Submit        PG2Resp      PG2Submit   \n",
+       " Min.   :   1           :431   Min.   :   1  \n",
+       " 1st Qu.:  11   No      :374   1st Qu.:   9  \n",
+       " Median :  16   Not sure:303   Median :  13  \n",
+       " Mean   :  39   Yes     :245   Mean   :  29  \n",
+       " 3rd Qu.:  30                  3rd Qu.:  29  \n",
+       " Max.   :6892                  Max.   :1470  \n",
+       " NA's   :282                   NA's   :377   \n",
+       "                                                                            PG2Resp.1  \n",
+       "                                                                                 :480  \n",
+       " The core \"data.frame\" object lacked functionality that I needed                 :354  \n",
+       " I saw a recommendation for the package                                          :149  \n",
+       " Chose the package to be compatible with other packages in my project            :137  \n",
+       " I didn't choose to use the package, it was included implicitly / unintentionally: 39  \n",
+       " Other                                                                           :  6  \n",
+       " (Other)                                                                         :188  \n",
+       "   PG3Submit      PG4Dtr0_6      PG4Psv7_8      PG4Prm9_10    PG4AllResp \n",
+       " Min.   :   1   Min.   :0      Min.   :7      Min.   : 9    Min.   : 0   \n",
+       " 1st Qu.:  16   1st Qu.:3      1st Qu.:7      1st Qu.:10    1st Qu.: 8   \n",
+       " Median :  23   Median :5      Median :8      Median :10    Median : 9   \n",
+       " Mean   :  44   Mean   :4      Mean   :8      Mean   :10    Mean   : 8   \n",
+       " 3rd Qu.:  40   3rd Qu.:6      3rd Qu.:8      3rd Qu.:10    3rd Qu.:10   \n",
+       " Max.   :4648   Max.   :6      Max.   :8      Max.   :10    Max.   :10   \n",
+       " NA's   :451    NA's   :1232   NA's   :1115   NA's   :869   NA's   :510  \n",
+       "   PG4Submit             PG5_1RRPQ     PG5_1Order                PG5_1Time  \n",
+       " Min.   :  1                  :877   Min.   : 1                       :877  \n",
+       " 1st Qu.:  6   Essential      : 60   1st Qu.: 4    2018-10-11 13:32:57:  3  \n",
+       " Median :  7   High Priority  :102   Median : 7    2018-10-11 13:29:20:  2  \n",
+       " Mean   :  9   Low Priority   : 85   Mean   : 7    2018-10-11 13:34:56:  2  \n",
+       " 3rd Qu.:  9   Medium Priority:134   3rd Qu.:11    2018-10-11 13:14:25:  1  \n",
+       " Max.   :332   Not a Priority : 95   Max.   :20    2018-10-11 13:14:45:  1  \n",
+       " NA's   :473                         NA's   :877   (Other)            :467  \n",
+       "           PG5_2BNUI     PG5_2Order                PG5_2Time  \n",
+       "                :923   Min.   : 1                       :923  \n",
+       " Essential      :  3   1st Qu.: 5    2018-10-11 13:21:46:  2  \n",
+       " High Priority  : 26   Median : 8    2018-10-11 13:38:07:  2  \n",
+       " Low Priority   :121   Mean   : 8    2018-10-11 13:14:27:  1  \n",
+       " Medium Priority: 92   3rd Qu.:11    2018-10-11 13:14:40:  1  \n",
+       " Not a Priority :188   Max.   :21    2018-10-11 13:15:18:  1  \n",
+       "                       NA's   :923   (Other)            :423  \n",
+       "            PG5_3HDS     PG5_3Order                PG5_3Time  \n",
+       "                :768   Min.   : 1                       :768  \n",
+       " Essential      :103   1st Qu.: 2    2018-10-11 13:54:00:  2  \n",
+       " High Priority  :200   Median : 4    2018-10-11 14:21:45:  2  \n",
+       " Low Priority   : 69   Mean   : 6    2018-10-11 14:25:51:  2  \n",
+       " Medium Priority:162   3rd Qu.: 9    2018-10-11 17:21:39:  2  \n",
+       " Not a Priority : 51   Max.   :19    2018-10-11 13:14:18:  1  \n",
+       "                       NA's   :768   (Other)            :576  \n",
+       "            PG5_4VGP     PG5_4Order                PG5_4Time  \n",
+       "                :852   Min.   : 1                       :852  \n",
+       " Essential      : 22   1st Qu.: 4    2018-10-11 13:16:50:  2  \n",
+       " High Priority  :111   Median : 6    2018-10-11 13:29:51:  2  \n",
+       " Low Priority   : 88   Mean   : 7    2018-10-11 13:37:39:  2  \n",
+       " Medium Priority:164   3rd Qu.:10    2018-10-11 13:38:11:  2  \n",
+       " Not a Priority :116   Max.   :18    2018-10-11 15:42:22:  2  \n",
+       "                       NA's   :852   (Other)            :491  \n",
+       "            PG5_5PHR     PG5_5Order                PG5_5Time  \n",
+       "                :753   Min.   : 1                       :753  \n",
+       " Essential      : 79   1st Qu.: 2    2018-10-11 13:18:47:  2  \n",
+       " High Priority  :252   Median : 4    2018-10-11 13:18:48:  2  \n",
+       " Low Priority   : 63   Mean   : 6    2018-10-11 13:32:40:  2  \n",
+       " Medium Priority:162   3rd Qu.: 8    2018-10-11 13:38:12:  2  \n",
+       " Not a Priority : 44   Max.   :18    2018-10-11 13:45:48:  2  \n",
+       "                       NA's   :753   (Other)            :590  \n",
+       "           PG5_6SSYOP    PG5_6Order                PG5_6Time  \n",
+       "                :852   Min.   : 1                       :852  \n",
+       " Essential      : 63   1st Qu.: 3    2018-10-11 13:20:00:  2  \n",
+       " High Priority  :137   Median : 6    2018-10-11 13:40:53:  2  \n",
+       " Low Priority   : 84   Mean   : 7    2018-10-11 13:44:00:  2  \n",
+       " Medium Priority:110   3rd Qu.:10    2018-10-11 13:45:41:  2  \n",
+       " Not a Priority :107   Max.   :17    2018-10-11 16:22:38:  2  \n",
+       "                       NA's   :852   (Other)            :491  \n",
+       "           PG5_7NDYP     PG5_7Order                PG5_7Time  \n",
+       "                :934   Min.   : 1                       :934  \n",
+       " Essential      :  8   1st Qu.: 4    2018-10-11 13:18:50:  2  \n",
+       " High Priority  : 31   Median : 7    2018-10-11 14:23:19:  2  \n",
+       " Low Priority   : 93   Mean   : 7    2018-10-11 13:14:22:  1  \n",
+       " Medium Priority: 52   3rd Qu.:11    2018-10-11 13:14:50:  1  \n",
+       " Not a Priority :235   Max.   :17    2018-10-11 13:15:08:  1  \n",
+       "                       NA's   :934   (Other)            :412  \n",
+       "            PG5_8CP      PG5_8Order                PG5_8Time  \n",
+       "                :715   Min.   : 1                       :715  \n",
+       " Essential      :232   1st Qu.: 1    2018-10-11 13:29:46:  2  \n",
+       " High Priority  :197   Median : 4    2018-10-11 13:37:00:  2  \n",
+       " Low Priority   : 52   Mean   : 5    2018-10-11 13:38:36:  2  \n",
+       " Medium Priority:121   3rd Qu.: 8    2018-10-11 13:39:22:  2  \n",
+       " Not a Priority : 36   Max.   :20    2018-10-11 14:02:46:  2  \n",
+       "                       NA's   :715   (Other)            :628  \n",
+       "            PG5_9FRP     PG5_9Order                PG5_9Time  \n",
+       "                :738   Min.   : 1                       :738  \n",
+       " Essential      :165   1st Qu.: 2    2018-10-11 13:35:13:  2  \n",
+       " High Priority  :243   Median : 4    2018-10-11 13:37:34:  2  \n",
+       " Low Priority   : 42   Mean   : 5    2018-10-11 14:02:44:  2  \n",
+       " Medium Priority:125   3rd Qu.: 9    2018-10-11 13:14:17:  1  \n",
+       " Not a Priority : 40   Max.   :19    2018-10-11 13:14:52:  1  \n",
+       "                       NA's   :738   (Other)            :607  \n",
+       "           PG5_10RPA    PG5_10Order                PG5_10Time \n",
+       "                :779   Min.   : 1                       :779  \n",
+       " Essential      : 55   1st Qu.: 2    2018-10-11 13:17:47:  2  \n",
+       " High Priority  :204   Median : 5    2018-10-11 13:27:48:  2  \n",
+       " Low Priority   : 79   Mean   : 6    2018-10-11 13:45:33:  2  \n",
+       " Medium Priority:151   3rd Qu.: 9    2018-10-11 15:30:40:  2  \n",
+       " Not a Priority : 85   Max.   :22    2018-10-11 15:48:40:  2  \n",
+       "                       NA's   :779   (Other)            :564  \n",
+       "           PG5_11NSG    PG5_11Order                PG5_11Time \n",
+       "                :890   Min.   : 1                       :890  \n",
+       " Essential      :  6   1st Qu.: 4    2018-10-11 13:19:44:  2  \n",
+       " High Priority  : 29   Median : 6    2018-10-11 13:21:53:  2  \n",
+       " Low Priority   : 89   Mean   : 7    2018-10-11 13:31:08:  2  \n",
+       " Medium Priority: 68   3rd Qu.:10    2018-10-11 13:40:48:  2  \n",
+       " Not a Priority :271   Max.   :18    2018-10-11 14:55:47:  2  \n",
+       "                       NA's   :890   (Other)            :453  \n",
+       "           PG5_12NWG    PG5_12Order                PG5_12Time \n",
+       "                :916   Min.   : 1                       :916  \n",
+       " High Priority  : 10   1st Qu.: 5    2018-10-11 13:30:08:  2  \n",
+       " Low Priority   : 77   Median : 7    2018-10-11 13:31:20:  2  \n",
+       " Medium Priority: 25   Mean   : 7    2018-10-11 14:55:40:  2  \n",
+       " Not a Priority :325   3rd Qu.:11    2018-10-11 13:14:46:  1  \n",
+       "                       Max.   :18    2018-10-11 13:14:50:  1  \n",
+       "                       NA's   :916   (Other)            :429  \n",
+       "           PG5_13NFG    PG5_13Order                PG5_13Time    PG5Submit   \n",
+       "                :920   Min.   : 1                       :920   Min.   :   3  \n",
+       " High Priority  : 10   1st Qu.: 4    2018-10-11 13:17:39:  2   1st Qu.:  45  \n",
+       " Low Priority   : 76   Median : 7    2018-10-11 13:35:20:  2   Median :  62  \n",
+       " Medium Priority: 37   Mean   : 7    2018-10-11 13:35:56:  2   Mean   :  87  \n",
+       " Not a Priority :310   3rd Qu.:10    2018-10-11 15:42:36:  2   3rd Qu.:  84  \n",
+       "                       Max.   :17    2018-10-11 13:14:41:  1   Max.   :4130  \n",
+       "                       NA's   :920   (Other)            :424   NA's   :544   \n",
+       "              PG6Resp      PG6Submit         PG7R      PG7C.C..     PG7Java    \n",
+       "                  :549   Min.   :   1   R      :684        :1268        :1306  \n",
+       " 13 - 19 years    : 50   1st Qu.:   7          :614   C/C++:  84   Java :  46  \n",
+       " 2 - 5 years      :332   Median :   9   Perl   :  6   Cobol:   1   scala:   1  \n",
+       " 20 years or more : 45   Mean   :  24   PHP    :  5                            \n",
+       " 6 - 8 years      :112   3rd Qu.:  12   SQL    :  5                            \n",
+       " 9 - 12 years     : 70   Max.   :5759   Ruby   :  4                            \n",
+       " Less than 2 years:195   NA's   :543    (Other): 35                            \n",
+       "  PG7Python       PG7Javascript  PG7Go     PG7C.        PG7Other   \n",
+       "       :1129             :1304     :1351     :1330          :1283  \n",
+       " Python: 223   Javascript:  48   Go:   2   C#:  23   Other  :  62  \n",
+       " perl  :   1   sql       :   1                       PHP    :   2  \n",
+       "                                                     Matlab :   1  \n",
+       "                                                     Ruby   :   1  \n",
+       "                                                     SAS    :   1  \n",
+       "                                                     (Other):   3  \n",
+       "   PG7Submit                PG8Resp      PG8Submit           PG9Resp   \n",
+       " Min.   :  1                    :570   Min.   :  1               :562  \n",
+       " 1st Qu.:  6   Data Scientist   :379   1st Qu.:  5   2 - 3       :229  \n",
+       " Median :  8   Software Engineer: 55   Median :  8   4 - 6       :166  \n",
+       " Mean   : 11   Student          : 24   Mean   : 12   7 - 10      :122  \n",
+       " 3rd Qu.: 11   Researcher       : 15   3rd Qu.: 14   1           : 94  \n",
+       " Max.   :777   PhD student      : 10   Max.   :207   More than 25: 92  \n",
+       " NA's   :542   (Other)          :300   NA's   :546   (Other)     : 88  \n",
+       "   PG9Submit                                            PG10Resp  \n",
+       " Min.   :    0                                              :565  \n",
+       " 1st Qu.:    7   Native                                     :424  \n",
+       " Median :   10   Not native - full working proficiency      :263  \n",
+       " Mean   :   40   Not native - limited working proficiency   : 17  \n",
+       " 3rd Qu.:   14   Not native - passable                      :  5  \n",
+       " Max.   :20126   Not native - sufficient working proficiency: 77  \n",
+       " NA's   :547     Not native - very limited                  :  2  \n",
+       "   PG10Submit                   PG11Resp     PG11Submit         PG12Resp  \n",
+       " Min.   :   1                       :576   Min.   :  1              :590  \n",
+       " 1st Qu.:   5   Female              : 96   1st Qu.:  4   18 - 24    : 34  \n",
+       " Median :   7   Male                :652   Median :  4   25 - 34    :338  \n",
+       " Mean   :  17   Prefer not to answer: 29   Mean   :  6   35 - 44    :258  \n",
+       " 3rd Qu.:  11                              3rd Qu.:  5   45 - 54    : 89  \n",
+       " Max.   :5966                              Max.   :605   55 - 64    : 36  \n",
+       " NA's   :546                               NA's   :548   65 and over:  8  \n",
+       "   PG12Submit  \n",
+       " Min.   :   1  \n",
+       " 1st Qu.:   4  \n",
+       " Median :   5  \n",
+       " Mean   :   8  \n",
+       " 3rd Qu.:   6  \n",
+       " Max.   :1566  \n",
+       " NA's   :548   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#now explore variables\n",
+    "summary(data);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Descriptive Analysis of the Proposed Measures\n",
+    "\n",
+    "Intuitively, if someone does not have very much development experience, then he or she will be more likely to benefit from discussion on the help board. However, if someone is more experienced, then the discussion may not be a priority because he or she would have a lot more insight. In addition, if someone has more experience, he or she may be less likely to utilize StackExchange as a resource, leaving those are less experienced more likely to use it and therefore benefit from it. Also, if one does not have extensive knowledge of the English language, then he or she may be predisposed to not benefitting as much from helpful discussion because the ideas may not be conveyed as clearly to the reader. From the above code cell, we observe that the English language proficiency (PG10Resp) responses are primarily \"Native\", and there are fewer responses of lower proficiencies. This means that respondents are more likely to be at least fully working proficient than otherwise. We also observe that the development experience (PG6Resp) responses indicate that the respondents mostly have 2-8 years of experience. Therefore, there are relatively few responses by those with nine or more years of experience. Furthermore, there are fewer and fewer reponses belonging to the higher and higher experience categories."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Interpret  basic summaries"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<thead><tr><th></th><th scope=col>Start</th><th scope=col>End</th><th scope=col>PG0Dis</th><th scope=col>PG0Shown</th><th scope=col>PG0Submit</th><th scope=col>PG1Submit</th><th scope=col>PG2Submit</th><th scope=col>PG3Submit</th><th scope=col>PG4Dtr0_6</th><th scope=col>PG4Psv7_8</th><th scope=col>...</th><th scope=col>PG5_12Order</th><th scope=col>PG5_13Order</th><th scope=col>PG5Submit</th><th scope=col>PG6Submit</th><th scope=col>PG7Submit</th><th scope=col>PG8Submit</th><th scope=col>PG9Submit</th><th scope=col>PG10Submit</th><th scope=col>PG11Submit</th><th scope=col>PG12Submit</th></tr></thead>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>Start</th><td> 1.0000 </td><td> 0.9952 </td><td>-0.0417 </td><td>-0.11507</td><td> 0.1350 </td><td> 0.1156 </td><td> 0.0791 </td><td> 0.0384 </td><td> 0.01210</td><td> 0.00371</td><td>...     </td><td>-0.0369 </td><td> 0.0598 </td><td> 0.08512</td><td> 0.0054 </td><td> 0.0776 </td><td> 0.0441 </td><td> 0.04101</td><td> 0.047  </td><td> 7.9e-02</td><td> 0.0746 </td></tr>\n",
+       "\t<tr><th scope=row>End</th><td> 0.9952 </td><td> 1.0000 </td><td>-0.0415 </td><td>-0.09879</td><td> 0.1142 </td><td> 0.1550 </td><td> 0.0791 </td><td> 0.0511 </td><td>-0.05185</td><td>-0.04576</td><td>...     </td><td>-0.0359 </td><td> 0.0661 </td><td> 0.09088</td><td> 0.0051 </td><td> 0.0759 </td><td> 0.0435 </td><td> 0.04071</td><td> 0.052  </td><td> 7.9e-02</td><td> 0.0772 </td></tr>\n",
+       "\t<tr><th scope=row>PG0Dis</th><td>-0.0417 </td><td>-0.0415 </td><td> 1.0000 </td><td> 0.87220</td><td> 0.0153 </td><td> 0.0065 </td><td> 0.0041 </td><td> 0.0567 </td><td> 0.16368</td><td> 0.02668</td><td>...     </td><td> 0.0151 </td><td> 0.0384 </td><td> 0.00601</td><td> 0.0277 </td><td> 0.0097 </td><td> 0.0354 </td><td> 0.00995</td><td>-0.029  </td><td>-4.5e-02</td><td> 0.0546 </td></tr>\n",
+       "\t<tr><th scope=row>PG0Shown</th><td>-0.1151 </td><td>-0.0988 </td><td> 0.8722 </td><td> 1.00000</td><td> 0.0360 </td><td> 0.0205 </td><td> 0.0023 </td><td> 0.0497 </td><td> 0.08226</td><td> 0.00036</td><td>...     </td><td> 0.0074 </td><td> 0.0407 </td><td>-0.00888</td><td> 0.0401 </td><td> 0.0121 </td><td> 0.0264 </td><td> 0.00056</td><td>-0.045  </td><td>-7.1e-02</td><td> 0.0436 </td></tr>\n",
+       "\t<tr><th scope=row>PG0Submit</th><td> 0.1350 </td><td> 0.1142 </td><td> 0.0153 </td><td> 0.03596</td><td> 1.0000 </td><td> 0.1088 </td><td> 0.1037 </td><td> 0.1273 </td><td>-0.00802</td><td>-0.03763</td><td>...     </td><td>-0.0161 </td><td>-0.0280 </td><td> 0.17671</td><td> 0.1518 </td><td> 0.1365 </td><td> 0.1258 </td><td> 0.17579</td><td> 0.225  </td><td> 1.1e-01</td><td> 0.1096 </td></tr>\n",
+       "\t<tr><th scope=row>PG1Submit</th><td> 0.1156 </td><td> 0.1550 </td><td> 0.0065 </td><td> 0.02047</td><td> 0.1088 </td><td> 1.0000 </td><td> 0.1452 </td><td> 0.2688 </td><td>-0.06852</td><td> 0.05661</td><td>...     </td><td> 0.0512 </td><td>-0.0651 </td><td> 0.24670</td><td> 0.2414 </td><td> 0.1133 </td><td> 0.1069 </td><td> 0.10895</td><td> 0.170  </td><td> 7.4e-02</td><td> 0.1137 </td></tr>\n",
+       "\t<tr><th scope=row>PG2Submit</th><td> 0.0791 </td><td> 0.0791 </td><td> 0.0041 </td><td> 0.00235</td><td> 0.1037 </td><td> 0.1452 </td><td> 1.0000 </td><td> 0.2045 </td><td> 0.00146</td><td> 0.00897</td><td>...     </td><td> 0.0210 </td><td>-0.0047 </td><td> 0.21851</td><td> 0.2696 </td><td> 0.1245 </td><td> 0.1567 </td><td> 0.20127</td><td> 0.099  </td><td> 1.1e-01</td><td> 0.1073 </td></tr>\n",
+       "\t<tr><th scope=row>PG3Submit</th><td> 0.0384 </td><td> 0.0511 </td><td> 0.0567 </td><td> 0.04968</td><td> 0.1273 </td><td> 0.2688 </td><td> 0.2045 </td><td> 1.0000 </td><td> 0.00865</td><td> 0.04424</td><td>...     </td><td> 0.0464 </td><td>-0.0222 </td><td> 0.26048</td><td> 0.2706 </td><td> 0.1316 </td><td> 0.1822 </td><td> 0.27450</td><td> 0.161  </td><td> 1.4e-01</td><td> 0.1642 </td></tr>\n",
+       "\t<tr><th scope=row>PG4Dtr0_6</th><td> 0.0121 </td><td>-0.0518 </td><td> 0.1637 </td><td> 0.08226</td><td>-0.0080 </td><td>-0.0685 </td><td> 0.0015 </td><td> 0.0087 </td><td> 1.00000</td><td>      NA</td><td>...     </td><td> 0.1774 </td><td>-0.1289 </td><td>-0.05214</td><td>-0.1618 </td><td> 0.1560 </td><td> 0.0695 </td><td>-0.07292</td><td> 0.044  </td><td> 8.4e-04</td><td>-0.0272 </td></tr>\n",
+       "\t<tr><th scope=row>PG4Psv7_8</th><td> 0.0037 </td><td>-0.0458 </td><td> 0.0267 </td><td> 0.00036</td><td>-0.0376 </td><td> 0.0566 </td><td> 0.0090 </td><td> 0.0442 </td><td>      NA</td><td> 1.00000</td><td>...     </td><td>-0.0008 </td><td>-0.0218 </td><td> 0.08974</td><td>-0.0146 </td><td>-0.0363 </td><td> 0.0526 </td><td> 0.05977</td><td> 0.069  </td><td>-4.9e-02</td><td>-0.0217 </td></tr>\n",
+       "\t<tr><th scope=row>PG4Prm9_10</th><td>-0.0267 </td><td>-0.0267 </td><td>-0.0092 </td><td> 0.03279</td><td>-0.0939 </td><td> 0.0120 </td><td>-0.0587 </td><td>-0.0062 </td><td>      NA</td><td>      NA</td><td>...     </td><td> 0.0233 </td><td> 0.0916 </td><td> 0.00077</td><td>-0.0418 </td><td>-0.0633 </td><td>-0.0550 </td><td>-0.02989</td><td>-0.061  </td><td>-8.6e-05</td><td> 0.0169 </td></tr>\n",
+       "\t<tr><th scope=row>PG4AllResp</th><td> 0.0063 </td><td>-0.0158 </td><td> 0.0018 </td><td>-0.02094</td><td>-0.0236 </td><td> 0.0297 </td><td> 0.0293 </td><td>-0.0193 </td><td> 1.00000</td><td> 1.00000</td><td>...     </td><td>-0.0306 </td><td>-0.0166 </td><td> 0.01248</td><td>-0.0040 </td><td>-0.0753 </td><td>-0.1294 </td><td>-0.03812</td><td>-0.106  </td><td>-8.2e-02</td><td>-0.0668 </td></tr>\n",
+       "\t<tr><th scope=row>PG4Submit</th><td> 0.0187 </td><td> 0.0172 </td><td>-0.0539 </td><td>-0.05978</td><td> 0.2191 </td><td> 0.1651 </td><td> 0.1515 </td><td> 0.1956 </td><td>-0.14272</td><td>-0.08350</td><td>...     </td><td>-0.0119 </td><td>-0.0376 </td><td> 0.27328</td><td> 0.3326 </td><td> 0.2775 </td><td> 0.1821 </td><td> 0.33236</td><td> 0.391  </td><td> 2.8e-01</td><td> 0.2360 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_1Order</th><td> 0.0218 </td><td> 0.0196 </td><td> 0.0140 </td><td> 0.01254</td><td>-0.0240 </td><td> 0.0750 </td><td>-0.0069 </td><td> 0.0578 </td><td>-0.09488</td><td>-0.01399</td><td>...     </td><td>-0.0785 </td><td>-0.0950 </td><td> 0.08054</td><td> 0.0334 </td><td> 0.0173 </td><td>-0.0388 </td><td> 0.01033</td><td>-0.096  </td><td>-2.5e-02</td><td> 0.0238 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_2Order</th><td> 0.0014 </td><td> 0.0002 </td><td>-0.0386 </td><td>-0.03617</td><td> 0.0402 </td><td>-0.0226 </td><td>-0.0297 </td><td> 0.0048 </td><td>-0.00954</td><td> 0.08081</td><td>...     </td><td> 0.0527 </td><td>-0.0652 </td><td> 0.03898</td><td>-0.0571 </td><td>-0.0551 </td><td>-0.0567 </td><td>-0.01925</td><td> 0.015  </td><td> 7.3e-03</td><td> 0.0469 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_3Order</th><td>-0.0089 </td><td>-0.0177 </td><td> 0.0441 </td><td> 0.04228</td><td> 0.0155 </td><td> 0.0391 </td><td>-0.0131 </td><td> 0.0172 </td><td> 0.13631</td><td> 0.04396</td><td>...     </td><td>-0.0698 </td><td>-0.0250 </td><td> 0.23450</td><td> 0.0419 </td><td> 0.0058 </td><td>-0.0086 </td><td> 0.02604</td><td> 0.063  </td><td> 3.4e-02</td><td> 0.0538 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_4Order</th><td> 0.0931 </td><td> 0.0949 </td><td>-0.0262 </td><td>-0.02214</td><td>-0.0172 </td><td> 0.0293 </td><td> 0.0560 </td><td>-0.0462 </td><td> 0.01735</td><td>-0.12489</td><td>...     </td><td>-0.0447 </td><td>-0.0329 </td><td> 0.14487</td><td> 0.0414 </td><td> 0.0460 </td><td> 0.0182 </td><td>-0.03734</td><td>-0.075  </td><td>-8.6e-02</td><td>-0.0211 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_5Order</th><td>-0.0523 </td><td>-0.0466 </td><td>-0.0087 </td><td>-0.01058</td><td> 0.0860 </td><td> 0.0345 </td><td> 0.0570 </td><td>-0.0165 </td><td> 0.04533</td><td>-0.06369</td><td>...     </td><td>-0.0499 </td><td>-0.0981 </td><td> 0.28698</td><td> 0.0498 </td><td> 0.0372 </td><td> 0.0427 </td><td>-0.02976</td><td> 0.076  </td><td> 2.4e-02</td><td> 0.0085 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_6Order</th><td> 0.0237 </td><td> 0.0217 </td><td>-0.0480 </td><td>-0.04902</td><td> 0.0762 </td><td> 0.0327 </td><td> 0.1077 </td><td> 0.0370 </td><td>-0.13255</td><td> 0.01662</td><td>...     </td><td>-0.0430 </td><td>-0.0031 </td><td> 0.22759</td><td> 0.0165 </td><td> 0.0222 </td><td> 0.0639 </td><td>-0.02974</td><td> 0.015  </td><td> 2.8e-02</td><td> 0.0539 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_7Order</th><td>-0.0200 </td><td>-0.0236 </td><td> 0.0220 </td><td>-0.00444</td><td>-0.1174 </td><td>-0.0815 </td><td>-0.0285 </td><td> 0.0242 </td><td>-0.16196</td><td>-0.06938</td><td>...     </td><td> 0.0410 </td><td> 0.0944 </td><td> 0.06439</td><td>-0.0222 </td><td>-0.1082 </td><td>-0.0804 </td><td>-0.01762</td><td>-0.017  </td><td>-4.4e-02</td><td>-0.0617 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_8Order</th><td>-0.0804 </td><td>-0.0852 </td><td>-0.0147 </td><td>-0.00433</td><td>-0.0421 </td><td>-0.0205 </td><td>-0.0387 </td><td>-0.0129 </td><td>-0.16181</td><td> 0.01019</td><td>...     </td><td>-0.0896 </td><td>-0.1168 </td><td> 0.13787</td><td>-0.1227 </td><td>-0.0126 </td><td>-0.0526 </td><td>-0.05699</td><td>-0.065  </td><td>-3.7e-02</td><td>-0.0182 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_9Order</th><td> 0.0171 </td><td> 0.0167 </td><td>-0.0712 </td><td>-0.10235</td><td> 0.0476 </td><td> 0.0260 </td><td>-0.0410 </td><td>-0.0641 </td><td>-0.07948</td><td>-0.09747</td><td>...     </td><td>-0.0431 </td><td>-0.0837 </td><td> 0.18534</td><td>-0.0188 </td><td>-0.0314 </td><td>-0.0898 </td><td>-0.01354</td><td>-0.034  </td><td> 6.2e-03</td><td>-0.0280 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_10Order</th><td>-0.0214 </td><td>-0.0112 </td><td> 0.0200 </td><td> 0.02736</td><td> 0.0086 </td><td>-0.0017 </td><td>-0.0418 </td><td> 0.0581 </td><td>-0.05310</td><td> 0.15949</td><td>...     </td><td>-0.0905 </td><td>-0.1214 </td><td> 0.22151</td><td> 0.0427 </td><td> 0.0311 </td><td> 0.0345 </td><td> 0.02011</td><td> 0.102  </td><td> 1.8e-02</td><td>-0.0092 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_11Order</th><td>-0.0241 </td><td>-0.0196 </td><td> 0.0190 </td><td> 0.02551</td><td> 0.0927 </td><td>-0.0047 </td><td>-0.1043 </td><td> 0.0279 </td><td> 0.02791</td><td>-0.03487</td><td>...     </td><td> 0.1233 </td><td> 0.1434 </td><td> 0.02942</td><td>-0.0055 </td><td> 0.0210 </td><td> 0.0232 </td><td> 0.05579</td><td>-0.038  </td><td>-2.5e-03</td><td> 0.0275 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_12Order</th><td>-0.0369 </td><td>-0.0359 </td><td> 0.0151 </td><td> 0.00743</td><td>-0.0161 </td><td> 0.0512 </td><td> 0.0210 </td><td> 0.0464 </td><td> 0.17741</td><td>-0.00080</td><td>...     </td><td> 1.0000 </td><td> 0.1231 </td><td> 0.10997</td><td> 0.0777 </td><td> 0.0529 </td><td> 0.0149 </td><td> 0.00295</td><td> 0.016  </td><td> 2.4e-02</td><td> 0.0167 </td></tr>\n",
+       "\t<tr><th scope=row>PG5_13Order</th><td> 0.0598 </td><td> 0.0661 </td><td> 0.0384 </td><td> 0.04072</td><td>-0.0280 </td><td>-0.0651 </td><td>-0.0047 </td><td>-0.0222 </td><td>-0.12890</td><td>-0.02179</td><td>...     </td><td> 0.1231 </td><td> 1.0000 </td><td> 0.00976</td><td>-0.0209 </td><td> 0.0355 </td><td> 0.0556 </td><td> 0.07229</td><td>-0.023  </td><td> 1.3e-02</td><td>-0.0614 </td></tr>\n",
+       "\t<tr><th scope=row>PG5Submit</th><td> 0.0851 </td><td> 0.0909 </td><td> 0.0060 </td><td>-0.00888</td><td> 0.1767 </td><td> 0.2467 </td><td> 0.2185 </td><td> 0.2605 </td><td>-0.05214</td><td> 0.08974</td><td>...     </td><td> 0.1100 </td><td> 0.0098 </td><td> 1.00000</td><td> 0.3224 </td><td> 0.2312 </td><td> 0.2035 </td><td> 0.30291</td><td> 0.269  </td><td> 2.4e-01</td><td> 0.2588 </td></tr>\n",
+       "\t<tr><th scope=row>PG6Submit</th><td> 0.0054 </td><td> 0.0051 </td><td> 0.0277 </td><td> 0.04005</td><td> 0.1518 </td><td> 0.2414 </td><td> 0.2696 </td><td> 0.2706 </td><td>-0.16179</td><td>-0.01463</td><td>...     </td><td> 0.0777 </td><td>-0.0209 </td><td> 0.32240</td><td> 1.0000 </td><td> 0.3086 </td><td> 0.2065 </td><td> 0.44528</td><td> 0.343  </td><td> 2.8e-01</td><td> 0.2904 </td></tr>\n",
+       "\t<tr><th scope=row>PG7Submit</th><td> 0.0776 </td><td> 0.0759 </td><td> 0.0097 </td><td> 0.01212</td><td> 0.1365 </td><td> 0.1133 </td><td> 0.1245 </td><td> 0.1316 </td><td> 0.15596</td><td>-0.03631</td><td>...     </td><td> 0.0529 </td><td> 0.0355 </td><td> 0.23120</td><td> 0.3086 </td><td> 1.0000 </td><td> 0.1606 </td><td> 0.27819</td><td> 0.312  </td><td> 2.8e-01</td><td> 0.2523 </td></tr>\n",
+       "\t<tr><th scope=row>PG8Submit</th><td> 0.0441 </td><td> 0.0435 </td><td> 0.0354 </td><td> 0.02635</td><td> 0.1258 </td><td> 0.1069 </td><td> 0.1567 </td><td> 0.1822 </td><td> 0.06953</td><td> 0.05260</td><td>...     </td><td> 0.0149 </td><td> 0.0556 </td><td> 0.20351</td><td> 0.2065 </td><td> 0.1606 </td><td> 1.0000 </td><td> 0.25569</td><td> 0.200  </td><td> 2.1e-01</td><td> 0.1932 </td></tr>\n",
+       "\t<tr><th scope=row>PG9Submit</th><td> 0.0410 </td><td> 0.0407 </td><td> 0.0099 </td><td> 0.00056</td><td> 0.1758 </td><td> 0.1090 </td><td> 0.2013 </td><td> 0.2745 </td><td>-0.07292</td><td> 0.05977</td><td>...     </td><td> 0.0029 </td><td> 0.0723 </td><td> 0.30291</td><td> 0.4453 </td><td> 0.2782 </td><td> 0.2557 </td><td> 1.00000</td><td> 0.290  </td><td> 2.8e-01</td><td> 0.2755 </td></tr>\n",
+       "\t<tr><th scope=row>PG10Submit</th><td> 0.0474 </td><td> 0.0517 </td><td>-0.0293 </td><td>-0.04481</td><td> 0.2248 </td><td> 0.1701 </td><td> 0.0989 </td><td> 0.1614 </td><td> 0.04433</td><td> 0.06942</td><td>...     </td><td> 0.0159 </td><td>-0.0227 </td><td> 0.26881</td><td> 0.3428 </td><td> 0.3121 </td><td> 0.2000 </td><td> 0.29018</td><td> 1.000  </td><td> 3.5e-01</td><td> 0.3131 </td></tr>\n",
+       "\t<tr><th scope=row>PG11Submit</th><td> 0.0790 </td><td> 0.0792 </td><td>-0.0454 </td><td>-0.07102</td><td> 0.1093 </td><td> 0.0738 </td><td> 0.1147 </td><td> 0.1383 </td><td> 0.00084</td><td>-0.04870</td><td>...     </td><td> 0.0240 </td><td> 0.0130 </td><td> 0.23552</td><td> 0.2777 </td><td> 0.2768 </td><td> 0.2065 </td><td> 0.27906</td><td> 0.346  </td><td> 1.0e+00</td><td> 0.2513 </td></tr>\n",
+       "\t<tr><th scope=row>PG12Submit</th><td> 0.0746 </td><td> 0.0772 </td><td> 0.0546 </td><td> 0.04364</td><td> 0.1096 </td><td> 0.1137 </td><td> 0.1073 </td><td> 0.1642 </td><td>-0.02721</td><td>-0.02169</td><td>...     </td><td> 0.0167 </td><td>-0.0614 </td><td> 0.25876</td><td> 0.2904 </td><td> 0.2523 </td><td> 0.1932 </td><td> 0.27550</td><td> 0.313  </td><td> 2.5e-01</td><td> 1.0000 </td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|llllllllllllllllllllllllllllllllll}\n",
+       "  & Start & End & PG0Dis & PG0Shown & PG0Submit & PG1Submit & PG2Submit & PG3Submit & PG4Dtr0\\_6 & PG4Psv7\\_8 & ... & PG5\\_12Order & PG5\\_13Order & PG5Submit & PG6Submit & PG7Submit & PG8Submit & PG9Submit & PG10Submit & PG11Submit & PG12Submit\\\\\n",
+       "\\hline\n",
+       "\tStart &  1.0000  &  0.9952  & -0.0417  & -0.11507 &  0.1350  &  0.1156  &  0.0791  &  0.0384  &  0.01210 &  0.00371 & ...      & -0.0369  &  0.0598  &  0.08512 &  0.0054  &  0.0776  &  0.0441  &  0.04101 &  0.047   &  7.9e-02 &  0.0746 \\\\\n",
+       "\tEnd &  0.9952  &  1.0000  & -0.0415  & -0.09879 &  0.1142  &  0.1550  &  0.0791  &  0.0511  & -0.05185 & -0.04576 & ...      & -0.0359  &  0.0661  &  0.09088 &  0.0051  &  0.0759  &  0.0435  &  0.04071 &  0.052   &  7.9e-02 &  0.0772 \\\\\n",
+       "\tPG0Dis & -0.0417  & -0.0415  &  1.0000  &  0.87220 &  0.0153  &  0.0065  &  0.0041  &  0.0567  &  0.16368 &  0.02668 & ...      &  0.0151  &  0.0384  &  0.00601 &  0.0277  &  0.0097  &  0.0354  &  0.00995 & -0.029   & -4.5e-02 &  0.0546 \\\\\n",
+       "\tPG0Shown & -0.1151  & -0.0988  &  0.8722  &  1.00000 &  0.0360  &  0.0205  &  0.0023  &  0.0497  &  0.08226 &  0.00036 & ...      &  0.0074  &  0.0407  & -0.00888 &  0.0401  &  0.0121  &  0.0264  &  0.00056 & -0.045   & -7.1e-02 &  0.0436 \\\\\n",
+       "\tPG0Submit &  0.1350  &  0.1142  &  0.0153  &  0.03596 &  1.0000  &  0.1088  &  0.1037  &  0.1273  & -0.00802 & -0.03763 & ...      & -0.0161  & -0.0280  &  0.17671 &  0.1518  &  0.1365  &  0.1258  &  0.17579 &  0.225   &  1.1e-01 &  0.1096 \\\\\n",
+       "\tPG1Submit &  0.1156  &  0.1550  &  0.0065  &  0.02047 &  0.1088  &  1.0000  &  0.1452  &  0.2688  & -0.06852 &  0.05661 & ...      &  0.0512  & -0.0651  &  0.24670 &  0.2414  &  0.1133  &  0.1069  &  0.10895 &  0.170   &  7.4e-02 &  0.1137 \\\\\n",
+       "\tPG2Submit &  0.0791  &  0.0791  &  0.0041  &  0.00235 &  0.1037  &  0.1452  &  1.0000  &  0.2045  &  0.00146 &  0.00897 & ...      &  0.0210  & -0.0047  &  0.21851 &  0.2696  &  0.1245  &  0.1567  &  0.20127 &  0.099   &  1.1e-01 &  0.1073 \\\\\n",
+       "\tPG3Submit &  0.0384  &  0.0511  &  0.0567  &  0.04968 &  0.1273  &  0.2688  &  0.2045  &  1.0000  &  0.00865 &  0.04424 & ...      &  0.0464  & -0.0222  &  0.26048 &  0.2706  &  0.1316  &  0.1822  &  0.27450 &  0.161   &  1.4e-01 &  0.1642 \\\\\n",
+       "\tPG4Dtr0\\_6 &  0.0121  & -0.0518  &  0.1637  &  0.08226 & -0.0080  & -0.0685  &  0.0015  &  0.0087  &  1.00000 &       NA & ...      &  0.1774  & -0.1289  & -0.05214 & -0.1618  &  0.1560  &  0.0695  & -0.07292 &  0.044   &  8.4e-04 & -0.0272 \\\\\n",
+       "\tPG4Psv7\\_8 &  0.0037  & -0.0458  &  0.0267  &  0.00036 & -0.0376  &  0.0566  &  0.0090  &  0.0442  &       NA &  1.00000 & ...      & -0.0008  & -0.0218  &  0.08974 & -0.0146  & -0.0363  &  0.0526  &  0.05977 &  0.069   & -4.9e-02 & -0.0217 \\\\\n",
+       "\tPG4Prm9\\_10 & -0.0267  & -0.0267  & -0.0092  &  0.03279 & -0.0939  &  0.0120  & -0.0587  & -0.0062  &       NA &       NA & ...      &  0.0233  &  0.0916  &  0.00077 & -0.0418  & -0.0633  & -0.0550  & -0.02989 & -0.061   & -8.6e-05 &  0.0169 \\\\\n",
+       "\tPG4AllResp &  0.0063  & -0.0158  &  0.0018  & -0.02094 & -0.0236  &  0.0297  &  0.0293  & -0.0193  &  1.00000 &  1.00000 & ...      & -0.0306  & -0.0166  &  0.01248 & -0.0040  & -0.0753  & -0.1294  & -0.03812 & -0.106   & -8.2e-02 & -0.0668 \\\\\n",
+       "\tPG4Submit &  0.0187  &  0.0172  & -0.0539  & -0.05978 &  0.2191  &  0.1651  &  0.1515  &  0.1956  & -0.14272 & -0.08350 & ...      & -0.0119  & -0.0376  &  0.27328 &  0.3326  &  0.2775  &  0.1821  &  0.33236 &  0.391   &  2.8e-01 &  0.2360 \\\\\n",
+       "\tPG5\\_1Order &  0.0218  &  0.0196  &  0.0140  &  0.01254 & -0.0240  &  0.0750  & -0.0069  &  0.0578  & -0.09488 & -0.01399 & ...      & -0.0785  & -0.0950  &  0.08054 &  0.0334  &  0.0173  & -0.0388  &  0.01033 & -0.096   & -2.5e-02 &  0.0238 \\\\\n",
+       "\tPG5\\_2Order &  0.0014  &  0.0002  & -0.0386  & -0.03617 &  0.0402  & -0.0226  & -0.0297  &  0.0048  & -0.00954 &  0.08081 & ...      &  0.0527  & -0.0652  &  0.03898 & -0.0571  & -0.0551  & -0.0567  & -0.01925 &  0.015   &  7.3e-03 &  0.0469 \\\\\n",
+       "\tPG5\\_3Order & -0.0089  & -0.0177  &  0.0441  &  0.04228 &  0.0155  &  0.0391  & -0.0131  &  0.0172  &  0.13631 &  0.04396 & ...      & -0.0698  & -0.0250  &  0.23450 &  0.0419  &  0.0058  & -0.0086  &  0.02604 &  0.063   &  3.4e-02 &  0.0538 \\\\\n",
+       "\tPG5\\_4Order &  0.0931  &  0.0949  & -0.0262  & -0.02214 & -0.0172  &  0.0293  &  0.0560  & -0.0462  &  0.01735 & -0.12489 & ...      & -0.0447  & -0.0329  &  0.14487 &  0.0414  &  0.0460  &  0.0182  & -0.03734 & -0.075   & -8.6e-02 & -0.0211 \\\\\n",
+       "\tPG5\\_5Order & -0.0523  & -0.0466  & -0.0087  & -0.01058 &  0.0860  &  0.0345  &  0.0570  & -0.0165  &  0.04533 & -0.06369 & ...      & -0.0499  & -0.0981  &  0.28698 &  0.0498  &  0.0372  &  0.0427  & -0.02976 &  0.076   &  2.4e-02 &  0.0085 \\\\\n",
+       "\tPG5\\_6Order &  0.0237  &  0.0217  & -0.0480  & -0.04902 &  0.0762  &  0.0327  &  0.1077  &  0.0370  & -0.13255 &  0.01662 & ...      & -0.0430  & -0.0031  &  0.22759 &  0.0165  &  0.0222  &  0.0639  & -0.02974 &  0.015   &  2.8e-02 &  0.0539 \\\\\n",
+       "\tPG5\\_7Order & -0.0200  & -0.0236  &  0.0220  & -0.00444 & -0.1174  & -0.0815  & -0.0285  &  0.0242  & -0.16196 & -0.06938 & ...      &  0.0410  &  0.0944  &  0.06439 & -0.0222  & -0.1082  & -0.0804  & -0.01762 & -0.017   & -4.4e-02 & -0.0617 \\\\\n",
+       "\tPG5\\_8Order & -0.0804  & -0.0852  & -0.0147  & -0.00433 & -0.0421  & -0.0205  & -0.0387  & -0.0129  & -0.16181 &  0.01019 & ...      & -0.0896  & -0.1168  &  0.13787 & -0.1227  & -0.0126  & -0.0526  & -0.05699 & -0.065   & -3.7e-02 & -0.0182 \\\\\n",
+       "\tPG5\\_9Order &  0.0171  &  0.0167  & -0.0712  & -0.10235 &  0.0476  &  0.0260  & -0.0410  & -0.0641  & -0.07948 & -0.09747 & ...      & -0.0431  & -0.0837  &  0.18534 & -0.0188  & -0.0314  & -0.0898  & -0.01354 & -0.034   &  6.2e-03 & -0.0280 \\\\\n",
+       "\tPG5\\_10Order & -0.0214  & -0.0112  &  0.0200  &  0.02736 &  0.0086  & -0.0017  & -0.0418  &  0.0581  & -0.05310 &  0.15949 & ...      & -0.0905  & -0.1214  &  0.22151 &  0.0427  &  0.0311  &  0.0345  &  0.02011 &  0.102   &  1.8e-02 & -0.0092 \\\\\n",
+       "\tPG5\\_11Order & -0.0241  & -0.0196  &  0.0190  &  0.02551 &  0.0927  & -0.0047  & -0.1043  &  0.0279  &  0.02791 & -0.03487 & ...      &  0.1233  &  0.1434  &  0.02942 & -0.0055  &  0.0210  &  0.0232  &  0.05579 & -0.038   & -2.5e-03 &  0.0275 \\\\\n",
+       "\tPG5\\_12Order & -0.0369  & -0.0359  &  0.0151  &  0.00743 & -0.0161  &  0.0512  &  0.0210  &  0.0464  &  0.17741 & -0.00080 & ...      &  1.0000  &  0.1231  &  0.10997 &  0.0777  &  0.0529  &  0.0149  &  0.00295 &  0.016   &  2.4e-02 &  0.0167 \\\\\n",
+       "\tPG5\\_13Order &  0.0598  &  0.0661  &  0.0384  &  0.04072 & -0.0280  & -0.0651  & -0.0047  & -0.0222  & -0.12890 & -0.02179 & ...      &  0.1231  &  1.0000  &  0.00976 & -0.0209  &  0.0355  &  0.0556  &  0.07229 & -0.023   &  1.3e-02 & -0.0614 \\\\\n",
+       "\tPG5Submit &  0.0851  &  0.0909  &  0.0060  & -0.00888 &  0.1767  &  0.2467  &  0.2185  &  0.2605  & -0.05214 &  0.08974 & ...      &  0.1100  &  0.0098  &  1.00000 &  0.3224  &  0.2312  &  0.2035  &  0.30291 &  0.269   &  2.4e-01 &  0.2588 \\\\\n",
+       "\tPG6Submit &  0.0054  &  0.0051  &  0.0277  &  0.04005 &  0.1518  &  0.2414  &  0.2696  &  0.2706  & -0.16179 & -0.01463 & ...      &  0.0777  & -0.0209  &  0.32240 &  1.0000  &  0.3086  &  0.2065  &  0.44528 &  0.343   &  2.8e-01 &  0.2904 \\\\\n",
+       "\tPG7Submit &  0.0776  &  0.0759  &  0.0097  &  0.01212 &  0.1365  &  0.1133  &  0.1245  &  0.1316  &  0.15596 & -0.03631 & ...      &  0.0529  &  0.0355  &  0.23120 &  0.3086  &  1.0000  &  0.1606  &  0.27819 &  0.312   &  2.8e-01 &  0.2523 \\\\\n",
+       "\tPG8Submit &  0.0441  &  0.0435  &  0.0354  &  0.02635 &  0.1258  &  0.1069  &  0.1567  &  0.1822  &  0.06953 &  0.05260 & ...      &  0.0149  &  0.0556  &  0.20351 &  0.2065  &  0.1606  &  1.0000  &  0.25569 &  0.200   &  2.1e-01 &  0.1932 \\\\\n",
+       "\tPG9Submit &  0.0410  &  0.0407  &  0.0099  &  0.00056 &  0.1758  &  0.1090  &  0.2013  &  0.2745  & -0.07292 &  0.05977 & ...      &  0.0029  &  0.0723  &  0.30291 &  0.4453  &  0.2782  &  0.2557  &  1.00000 &  0.290   &  2.8e-01 &  0.2755 \\\\\n",
+       "\tPG10Submit &  0.0474  &  0.0517  & -0.0293  & -0.04481 &  0.2248  &  0.1701  &  0.0989  &  0.1614  &  0.04433 &  0.06942 & ...      &  0.0159  & -0.0227  &  0.26881 &  0.3428  &  0.3121  &  0.2000  &  0.29018 &  1.000   &  3.5e-01 &  0.3131 \\\\\n",
+       "\tPG11Submit &  0.0790  &  0.0792  & -0.0454  & -0.07102 &  0.1093  &  0.0738  &  0.1147  &  0.1383  &  0.00084 & -0.04870 & ...      &  0.0240  &  0.0130  &  0.23552 &  0.2777  &  0.2768  &  0.2065  &  0.27906 &  0.346   &  1.0e+00 &  0.2513 \\\\\n",
+       "\tPG12Submit &  0.0746  &  0.0772  &  0.0546  &  0.04364 &  0.1096  &  0.1137  &  0.1073  &  0.1642  & -0.02721 & -0.02169 & ...      &  0.0167  & -0.0614  &  0.25876 &  0.2904  &  0.2523  &  0.1932  &  0.27550 &  0.313   &  2.5e-01 &  1.0000 \\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| <!--/--> | Start | End | PG0Dis | PG0Shown | PG0Submit | PG1Submit | PG2Submit | PG3Submit | PG4Dtr0_6 | PG4Psv7_8 | ... | PG5_12Order | PG5_13Order | PG5Submit | PG6Submit | PG7Submit | PG8Submit | PG9Submit | PG10Submit | PG11Submit | PG12Submit | \n",
+       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
+       "| Start |  1.0000  |  0.9952  | -0.0417  | -0.11507 |  0.1350  |  0.1156  |  0.0791  |  0.0384  |  0.01210 |  0.00371 | ...      | -0.0369  |  0.0598  |  0.08512 |  0.0054  |  0.0776  |  0.0441  |  0.04101 |  0.047   |  7.9e-02 |  0.0746  | \n",
+       "| End |  0.9952  |  1.0000  | -0.0415  | -0.09879 |  0.1142  |  0.1550  |  0.0791  |  0.0511  | -0.05185 | -0.04576 | ...      | -0.0359  |  0.0661  |  0.09088 |  0.0051  |  0.0759  |  0.0435  |  0.04071 |  0.052   |  7.9e-02 |  0.0772  | \n",
+       "| PG0Dis | -0.0417  | -0.0415  |  1.0000  |  0.87220 |  0.0153  |  0.0065  |  0.0041  |  0.0567  |  0.16368 |  0.02668 | ...      |  0.0151  |  0.0384  |  0.00601 |  0.0277  |  0.0097  |  0.0354  |  0.00995 | -0.029   | -4.5e-02 |  0.0546  | \n",
+       "| PG0Shown | -0.1151  | -0.0988  |  0.8722  |  1.00000 |  0.0360  |  0.0205  |  0.0023  |  0.0497  |  0.08226 |  0.00036 | ...      |  0.0074  |  0.0407  | -0.00888 |  0.0401  |  0.0121  |  0.0264  |  0.00056 | -0.045   | -7.1e-02 |  0.0436  | \n",
+       "| PG0Submit |  0.1350  |  0.1142  |  0.0153  |  0.03596 |  1.0000  |  0.1088  |  0.1037  |  0.1273  | -0.00802 | -0.03763 | ...      | -0.0161  | -0.0280  |  0.17671 |  0.1518  |  0.1365  |  0.1258  |  0.17579 |  0.225   |  1.1e-01 |  0.1096  | \n",
+       "| PG1Submit |  0.1156  |  0.1550  |  0.0065  |  0.02047 |  0.1088  |  1.0000  |  0.1452  |  0.2688  | -0.06852 |  0.05661 | ...      |  0.0512  | -0.0651  |  0.24670 |  0.2414  |  0.1133  |  0.1069  |  0.10895 |  0.170   |  7.4e-02 |  0.1137  | \n",
+       "| PG2Submit |  0.0791  |  0.0791  |  0.0041  |  0.00235 |  0.1037  |  0.1452  |  1.0000  |  0.2045  |  0.00146 |  0.00897 | ...      |  0.0210  | -0.0047  |  0.21851 |  0.2696  |  0.1245  |  0.1567  |  0.20127 |  0.099   |  1.1e-01 |  0.1073  | \n",
+       "| PG3Submit |  0.0384  |  0.0511  |  0.0567  |  0.04968 |  0.1273  |  0.2688  |  0.2045  |  1.0000  |  0.00865 |  0.04424 | ...      |  0.0464  | -0.0222  |  0.26048 |  0.2706  |  0.1316  |  0.1822  |  0.27450 |  0.161   |  1.4e-01 |  0.1642  | \n",
+       "| PG4Dtr0_6 |  0.0121  | -0.0518  |  0.1637  |  0.08226 | -0.0080  | -0.0685  |  0.0015  |  0.0087  |  1.00000 |       NA | ...      |  0.1774  | -0.1289  | -0.05214 | -0.1618  |  0.1560  |  0.0695  | -0.07292 |  0.044   |  8.4e-04 | -0.0272  | \n",
+       "| PG4Psv7_8 |  0.0037  | -0.0458  |  0.0267  |  0.00036 | -0.0376  |  0.0566  |  0.0090  |  0.0442  |       NA |  1.00000 | ...      | -0.0008  | -0.0218  |  0.08974 | -0.0146  | -0.0363  |  0.0526  |  0.05977 |  0.069   | -4.9e-02 | -0.0217  | \n",
+       "| PG4Prm9_10 | -0.0267  | -0.0267  | -0.0092  |  0.03279 | -0.0939  |  0.0120  | -0.0587  | -0.0062  |       NA |       NA | ...      |  0.0233  |  0.0916  |  0.00077 | -0.0418  | -0.0633  | -0.0550  | -0.02989 | -0.061   | -8.6e-05 |  0.0169  | \n",
+       "| PG4AllResp |  0.0063  | -0.0158  |  0.0018  | -0.02094 | -0.0236  |  0.0297  |  0.0293  | -0.0193  |  1.00000 |  1.00000 | ...      | -0.0306  | -0.0166  |  0.01248 | -0.0040  | -0.0753  | -0.1294  | -0.03812 | -0.106   | -8.2e-02 | -0.0668  | \n",
+       "| PG4Submit |  0.0187  |  0.0172  | -0.0539  | -0.05978 |  0.2191  |  0.1651  |  0.1515  |  0.1956  | -0.14272 | -0.08350 | ...      | -0.0119  | -0.0376  |  0.27328 |  0.3326  |  0.2775  |  0.1821  |  0.33236 |  0.391   |  2.8e-01 |  0.2360  | \n",
+       "| PG5_1Order |  0.0218  |  0.0196  |  0.0140  |  0.01254 | -0.0240  |  0.0750  | -0.0069  |  0.0578  | -0.09488 | -0.01399 | ...      | -0.0785  | -0.0950  |  0.08054 |  0.0334  |  0.0173  | -0.0388  |  0.01033 | -0.096   | -2.5e-02 |  0.0238  | \n",
+       "| PG5_2Order |  0.0014  |  0.0002  | -0.0386  | -0.03617 |  0.0402  | -0.0226  | -0.0297  |  0.0048  | -0.00954 |  0.08081 | ...      |  0.0527  | -0.0652  |  0.03898 | -0.0571  | -0.0551  | -0.0567  | -0.01925 |  0.015   |  7.3e-03 |  0.0469  | \n",
+       "| PG5_3Order | -0.0089  | -0.0177  |  0.0441  |  0.04228 |  0.0155  |  0.0391  | -0.0131  |  0.0172  |  0.13631 |  0.04396 | ...      | -0.0698  | -0.0250  |  0.23450 |  0.0419  |  0.0058  | -0.0086  |  0.02604 |  0.063   |  3.4e-02 |  0.0538  | \n",
+       "| PG5_4Order |  0.0931  |  0.0949  | -0.0262  | -0.02214 | -0.0172  |  0.0293  |  0.0560  | -0.0462  |  0.01735 | -0.12489 | ...      | -0.0447  | -0.0329  |  0.14487 |  0.0414  |  0.0460  |  0.0182  | -0.03734 | -0.075   | -8.6e-02 | -0.0211  | \n",
+       "| PG5_5Order | -0.0523  | -0.0466  | -0.0087  | -0.01058 |  0.0860  |  0.0345  |  0.0570  | -0.0165  |  0.04533 | -0.06369 | ...      | -0.0499  | -0.0981  |  0.28698 |  0.0498  |  0.0372  |  0.0427  | -0.02976 |  0.076   |  2.4e-02 |  0.0085  | \n",
+       "| PG5_6Order |  0.0237  |  0.0217  | -0.0480  | -0.04902 |  0.0762  |  0.0327  |  0.1077  |  0.0370  | -0.13255 |  0.01662 | ...      | -0.0430  | -0.0031  |  0.22759 |  0.0165  |  0.0222  |  0.0639  | -0.02974 |  0.015   |  2.8e-02 |  0.0539  | \n",
+       "| PG5_7Order | -0.0200  | -0.0236  |  0.0220  | -0.00444 | -0.1174  | -0.0815  | -0.0285  |  0.0242  | -0.16196 | -0.06938 | ...      |  0.0410  |  0.0944  |  0.06439 | -0.0222  | -0.1082  | -0.0804  | -0.01762 | -0.017   | -4.4e-02 | -0.0617  | \n",
+       "| PG5_8Order | -0.0804  | -0.0852  | -0.0147  | -0.00433 | -0.0421  | -0.0205  | -0.0387  | -0.0129  | -0.16181 |  0.01019 | ...      | -0.0896  | -0.1168  |  0.13787 | -0.1227  | -0.0126  | -0.0526  | -0.05699 | -0.065   | -3.7e-02 | -0.0182  | \n",
+       "| PG5_9Order |  0.0171  |  0.0167  | -0.0712  | -0.10235 |  0.0476  |  0.0260  | -0.0410  | -0.0641  | -0.07948 | -0.09747 | ...      | -0.0431  | -0.0837  |  0.18534 | -0.0188  | -0.0314  | -0.0898  | -0.01354 | -0.034   |  6.2e-03 | -0.0280  | \n",
+       "| PG5_10Order | -0.0214  | -0.0112  |  0.0200  |  0.02736 |  0.0086  | -0.0017  | -0.0418  |  0.0581  | -0.05310 |  0.15949 | ...      | -0.0905  | -0.1214  |  0.22151 |  0.0427  |  0.0311  |  0.0345  |  0.02011 |  0.102   |  1.8e-02 | -0.0092  | \n",
+       "| PG5_11Order | -0.0241  | -0.0196  |  0.0190  |  0.02551 |  0.0927  | -0.0047  | -0.1043  |  0.0279  |  0.02791 | -0.03487 | ...      |  0.1233  |  0.1434  |  0.02942 | -0.0055  |  0.0210  |  0.0232  |  0.05579 | -0.038   | -2.5e-03 |  0.0275  | \n",
+       "| PG5_12Order | -0.0369  | -0.0359  |  0.0151  |  0.00743 | -0.0161  |  0.0512  |  0.0210  |  0.0464  |  0.17741 | -0.00080 | ...      |  1.0000  |  0.1231  |  0.10997 |  0.0777  |  0.0529  |  0.0149  |  0.00295 |  0.016   |  2.4e-02 |  0.0167  | \n",
+       "| PG5_13Order |  0.0598  |  0.0661  |  0.0384  |  0.04072 | -0.0280  | -0.0651  | -0.0047  | -0.0222  | -0.12890 | -0.02179 | ...      |  0.1231  |  1.0000  |  0.00976 | -0.0209  |  0.0355  |  0.0556  |  0.07229 | -0.023   |  1.3e-02 | -0.0614  | \n",
+       "| PG5Submit |  0.0851  |  0.0909  |  0.0060  | -0.00888 |  0.1767  |  0.2467  |  0.2185  |  0.2605  | -0.05214 |  0.08974 | ...      |  0.1100  |  0.0098  |  1.00000 |  0.3224  |  0.2312  |  0.2035  |  0.30291 |  0.269   |  2.4e-01 |  0.2588  | \n",
+       "| PG6Submit |  0.0054  |  0.0051  |  0.0277  |  0.04005 |  0.1518  |  0.2414  |  0.2696  |  0.2706  | -0.16179 | -0.01463 | ...      |  0.0777  | -0.0209  |  0.32240 |  1.0000  |  0.3086  |  0.2065  |  0.44528 |  0.343   |  2.8e-01 |  0.2904  | \n",
+       "| PG7Submit |  0.0776  |  0.0759  |  0.0097  |  0.01212 |  0.1365  |  0.1133  |  0.1245  |  0.1316  |  0.15596 | -0.03631 | ...      |  0.0529  |  0.0355  |  0.23120 |  0.3086  |  1.0000  |  0.1606  |  0.27819 |  0.312   |  2.8e-01 |  0.2523  | \n",
+       "| PG8Submit |  0.0441  |  0.0435  |  0.0354  |  0.02635 |  0.1258  |  0.1069  |  0.1567  |  0.1822  |  0.06953 |  0.05260 | ...      |  0.0149  |  0.0556  |  0.20351 |  0.2065  |  0.1606  |  1.0000  |  0.25569 |  0.200   |  2.1e-01 |  0.1932  | \n",
+       "| PG9Submit |  0.0410  |  0.0407  |  0.0099  |  0.00056 |  0.1758  |  0.1090  |  0.2013  |  0.2745  | -0.07292 |  0.05977 | ...      |  0.0029  |  0.0723  |  0.30291 |  0.4453  |  0.2782  |  0.2557  |  1.00000 |  0.290   |  2.8e-01 |  0.2755  | \n",
+       "| PG10Submit |  0.0474  |  0.0517  | -0.0293  | -0.04481 |  0.2248  |  0.1701  |  0.0989  |  0.1614  |  0.04433 |  0.06942 | ...      |  0.0159  | -0.0227  |  0.26881 |  0.3428  |  0.3121  |  0.2000  |  0.29018 |  1.000   |  3.5e-01 |  0.3131  | \n",
+       "| PG11Submit |  0.0790  |  0.0792  | -0.0454  | -0.07102 |  0.1093  |  0.0738  |  0.1147  |  0.1383  |  0.00084 | -0.04870 | ...      |  0.0240  |  0.0130  |  0.23552 |  0.2777  |  0.2768  |  0.2065  |  0.27906 |  0.346   |  1.0e+00 |  0.2513  | \n",
+       "| PG12Submit |  0.0746  |  0.0772  |  0.0546  |  0.04364 |  0.1096  |  0.1137  |  0.1073  |  0.1642  | -0.02721 | -0.02169 | ...      |  0.0167  | -0.0614  |  0.25876 |  0.2904  |  0.2523  |  0.1932  |  0.27550 |  0.313   |  2.5e-01 |  1.0000  | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "            Start   End     PG0Dis  PG0Shown PG0Submit PG1Submit PG2Submit\n",
+       "Start        1.0000  0.9952 -0.0417 -0.11507  0.1350    0.1156    0.0791  \n",
+       "End          0.9952  1.0000 -0.0415 -0.09879  0.1142    0.1550    0.0791  \n",
+       "PG0Dis      -0.0417 -0.0415  1.0000  0.87220  0.0153    0.0065    0.0041  \n",
+       "PG0Shown    -0.1151 -0.0988  0.8722  1.00000  0.0360    0.0205    0.0023  \n",
+       "PG0Submit    0.1350  0.1142  0.0153  0.03596  1.0000    0.1088    0.1037  \n",
+       "PG1Submit    0.1156  0.1550  0.0065  0.02047  0.1088    1.0000    0.1452  \n",
+       "PG2Submit    0.0791  0.0791  0.0041  0.00235  0.1037    0.1452    1.0000  \n",
+       "PG3Submit    0.0384  0.0511  0.0567  0.04968  0.1273    0.2688    0.2045  \n",
+       "PG4Dtr0_6    0.0121 -0.0518  0.1637  0.08226 -0.0080   -0.0685    0.0015  \n",
+       "PG4Psv7_8    0.0037 -0.0458  0.0267  0.00036 -0.0376    0.0566    0.0090  \n",
+       "PG4Prm9_10  -0.0267 -0.0267 -0.0092  0.03279 -0.0939    0.0120   -0.0587  \n",
+       "PG4AllResp   0.0063 -0.0158  0.0018 -0.02094 -0.0236    0.0297    0.0293  \n",
+       "PG4Submit    0.0187  0.0172 -0.0539 -0.05978  0.2191    0.1651    0.1515  \n",
+       "PG5_1Order   0.0218  0.0196  0.0140  0.01254 -0.0240    0.0750   -0.0069  \n",
+       "PG5_2Order   0.0014  0.0002 -0.0386 -0.03617  0.0402   -0.0226   -0.0297  \n",
+       "PG5_3Order  -0.0089 -0.0177  0.0441  0.04228  0.0155    0.0391   -0.0131  \n",
+       "PG5_4Order   0.0931  0.0949 -0.0262 -0.02214 -0.0172    0.0293    0.0560  \n",
+       "PG5_5Order  -0.0523 -0.0466 -0.0087 -0.01058  0.0860    0.0345    0.0570  \n",
+       "PG5_6Order   0.0237  0.0217 -0.0480 -0.04902  0.0762    0.0327    0.1077  \n",
+       "PG5_7Order  -0.0200 -0.0236  0.0220 -0.00444 -0.1174   -0.0815   -0.0285  \n",
+       "PG5_8Order  -0.0804 -0.0852 -0.0147 -0.00433 -0.0421   -0.0205   -0.0387  \n",
+       "PG5_9Order   0.0171  0.0167 -0.0712 -0.10235  0.0476    0.0260   -0.0410  \n",
+       "PG5_10Order -0.0214 -0.0112  0.0200  0.02736  0.0086   -0.0017   -0.0418  \n",
+       "PG5_11Order -0.0241 -0.0196  0.0190  0.02551  0.0927   -0.0047   -0.1043  \n",
+       "PG5_12Order -0.0369 -0.0359  0.0151  0.00743 -0.0161    0.0512    0.0210  \n",
+       "PG5_13Order  0.0598  0.0661  0.0384  0.04072 -0.0280   -0.0651   -0.0047  \n",
+       "PG5Submit    0.0851  0.0909  0.0060 -0.00888  0.1767    0.2467    0.2185  \n",
+       "PG6Submit    0.0054  0.0051  0.0277  0.04005  0.1518    0.2414    0.2696  \n",
+       "PG7Submit    0.0776  0.0759  0.0097  0.01212  0.1365    0.1133    0.1245  \n",
+       "PG8Submit    0.0441  0.0435  0.0354  0.02635  0.1258    0.1069    0.1567  \n",
+       "PG9Submit    0.0410  0.0407  0.0099  0.00056  0.1758    0.1090    0.2013  \n",
+       "PG10Submit   0.0474  0.0517 -0.0293 -0.04481  0.2248    0.1701    0.0989  \n",
+       "PG11Submit   0.0790  0.0792 -0.0454 -0.07102  0.1093    0.0738    0.1147  \n",
+       "PG12Submit   0.0746  0.0772  0.0546  0.04364  0.1096    0.1137    0.1073  \n",
+       "            PG3Submit PG4Dtr0_6 PG4Psv7_8 ... PG5_12Order PG5_13Order PG5Submit\n",
+       "Start        0.0384    0.01210   0.00371  ... -0.0369      0.0598      0.08512 \n",
+       "End          0.0511   -0.05185  -0.04576  ... -0.0359      0.0661      0.09088 \n",
+       "PG0Dis       0.0567    0.16368   0.02668  ...  0.0151      0.0384      0.00601 \n",
+       "PG0Shown     0.0497    0.08226   0.00036  ...  0.0074      0.0407     -0.00888 \n",
+       "PG0Submit    0.1273   -0.00802  -0.03763  ... -0.0161     -0.0280      0.17671 \n",
+       "PG1Submit    0.2688   -0.06852   0.05661  ...  0.0512     -0.0651      0.24670 \n",
+       "PG2Submit    0.2045    0.00146   0.00897  ...  0.0210     -0.0047      0.21851 \n",
+       "PG3Submit    1.0000    0.00865   0.04424  ...  0.0464     -0.0222      0.26048 \n",
+       "PG4Dtr0_6    0.0087    1.00000        NA  ...  0.1774     -0.1289     -0.05214 \n",
+       "PG4Psv7_8    0.0442         NA   1.00000  ... -0.0008     -0.0218      0.08974 \n",
+       "PG4Prm9_10  -0.0062         NA        NA  ...  0.0233      0.0916      0.00077 \n",
+       "PG4AllResp  -0.0193    1.00000   1.00000  ... -0.0306     -0.0166      0.01248 \n",
+       "PG4Submit    0.1956   -0.14272  -0.08350  ... -0.0119     -0.0376      0.27328 \n",
+       "PG5_1Order   0.0578   -0.09488  -0.01399  ... -0.0785     -0.0950      0.08054 \n",
+       "PG5_2Order   0.0048   -0.00954   0.08081  ...  0.0527     -0.0652      0.03898 \n",
+       "PG5_3Order   0.0172    0.13631   0.04396  ... -0.0698     -0.0250      0.23450 \n",
+       "PG5_4Order  -0.0462    0.01735  -0.12489  ... -0.0447     -0.0329      0.14487 \n",
+       "PG5_5Order  -0.0165    0.04533  -0.06369  ... -0.0499     -0.0981      0.28698 \n",
+       "PG5_6Order   0.0370   -0.13255   0.01662  ... -0.0430     -0.0031      0.22759 \n",
+       "PG5_7Order   0.0242   -0.16196  -0.06938  ...  0.0410      0.0944      0.06439 \n",
+       "PG5_8Order  -0.0129   -0.16181   0.01019  ... -0.0896     -0.1168      0.13787 \n",
+       "PG5_9Order  -0.0641   -0.07948  -0.09747  ... -0.0431     -0.0837      0.18534 \n",
+       "PG5_10Order  0.0581   -0.05310   0.15949  ... -0.0905     -0.1214      0.22151 \n",
+       "PG5_11Order  0.0279    0.02791  -0.03487  ...  0.1233      0.1434      0.02942 \n",
+       "PG5_12Order  0.0464    0.17741  -0.00080  ...  1.0000      0.1231      0.10997 \n",
+       "PG5_13Order -0.0222   -0.12890  -0.02179  ...  0.1231      1.0000      0.00976 \n",
+       "PG5Submit    0.2605   -0.05214   0.08974  ...  0.1100      0.0098      1.00000 \n",
+       "PG6Submit    0.2706   -0.16179  -0.01463  ...  0.0777     -0.0209      0.32240 \n",
+       "PG7Submit    0.1316    0.15596  -0.03631  ...  0.0529      0.0355      0.23120 \n",
+       "PG8Submit    0.1822    0.06953   0.05260  ...  0.0149      0.0556      0.20351 \n",
+       "PG9Submit    0.2745   -0.07292   0.05977  ...  0.0029      0.0723      0.30291 \n",
+       "PG10Submit   0.1614    0.04433   0.06942  ...  0.0159     -0.0227      0.26881 \n",
+       "PG11Submit   0.1383    0.00084  -0.04870  ...  0.0240      0.0130      0.23552 \n",
+       "PG12Submit   0.1642   -0.02721  -0.02169  ...  0.0167     -0.0614      0.25876 \n",
+       "            PG6Submit PG7Submit PG8Submit PG9Submit PG10Submit PG11Submit\n",
+       "Start        0.0054    0.0776    0.0441    0.04101   0.047      7.9e-02  \n",
+       "End          0.0051    0.0759    0.0435    0.04071   0.052      7.9e-02  \n",
+       "PG0Dis       0.0277    0.0097    0.0354    0.00995  -0.029     -4.5e-02  \n",
+       "PG0Shown     0.0401    0.0121    0.0264    0.00056  -0.045     -7.1e-02  \n",
+       "PG0Submit    0.1518    0.1365    0.1258    0.17579   0.225      1.1e-01  \n",
+       "PG1Submit    0.2414    0.1133    0.1069    0.10895   0.170      7.4e-02  \n",
+       "PG2Submit    0.2696    0.1245    0.1567    0.20127   0.099      1.1e-01  \n",
+       "PG3Submit    0.2706    0.1316    0.1822    0.27450   0.161      1.4e-01  \n",
+       "PG4Dtr0_6   -0.1618    0.1560    0.0695   -0.07292   0.044      8.4e-04  \n",
+       "PG4Psv7_8   -0.0146   -0.0363    0.0526    0.05977   0.069     -4.9e-02  \n",
+       "PG4Prm9_10  -0.0418   -0.0633   -0.0550   -0.02989  -0.061     -8.6e-05  \n",
+       "PG4AllResp  -0.0040   -0.0753   -0.1294   -0.03812  -0.106     -8.2e-02  \n",
+       "PG4Submit    0.3326    0.2775    0.1821    0.33236   0.391      2.8e-01  \n",
+       "PG5_1Order   0.0334    0.0173   -0.0388    0.01033  -0.096     -2.5e-02  \n",
+       "PG5_2Order  -0.0571   -0.0551   -0.0567   -0.01925   0.015      7.3e-03  \n",
+       "PG5_3Order   0.0419    0.0058   -0.0086    0.02604   0.063      3.4e-02  \n",
+       "PG5_4Order   0.0414    0.0460    0.0182   -0.03734  -0.075     -8.6e-02  \n",
+       "PG5_5Order   0.0498    0.0372    0.0427   -0.02976   0.076      2.4e-02  \n",
+       "PG5_6Order   0.0165    0.0222    0.0639   -0.02974   0.015      2.8e-02  \n",
+       "PG5_7Order  -0.0222   -0.1082   -0.0804   -0.01762  -0.017     -4.4e-02  \n",
+       "PG5_8Order  -0.1227   -0.0126   -0.0526   -0.05699  -0.065     -3.7e-02  \n",
+       "PG5_9Order  -0.0188   -0.0314   -0.0898   -0.01354  -0.034      6.2e-03  \n",
+       "PG5_10Order  0.0427    0.0311    0.0345    0.02011   0.102      1.8e-02  \n",
+       "PG5_11Order -0.0055    0.0210    0.0232    0.05579  -0.038     -2.5e-03  \n",
+       "PG5_12Order  0.0777    0.0529    0.0149    0.00295   0.016      2.4e-02  \n",
+       "PG5_13Order -0.0209    0.0355    0.0556    0.07229  -0.023      1.3e-02  \n",
+       "PG5Submit    0.3224    0.2312    0.2035    0.30291   0.269      2.4e-01  \n",
+       "PG6Submit    1.0000    0.3086    0.2065    0.44528   0.343      2.8e-01  \n",
+       "PG7Submit    0.3086    1.0000    0.1606    0.27819   0.312      2.8e-01  \n",
+       "PG8Submit    0.2065    0.1606    1.0000    0.25569   0.200      2.1e-01  \n",
+       "PG9Submit    0.4453    0.2782    0.2557    1.00000   0.290      2.8e-01  \n",
+       "PG10Submit   0.3428    0.3121    0.2000    0.29018   1.000      3.5e-01  \n",
+       "PG11Submit   0.2777    0.2768    0.2065    0.27906   0.346      1.0e+00  \n",
+       "PG12Submit   0.2904    0.2523    0.1932    0.27550   0.313      2.5e-01  \n",
+       "            PG12Submit\n",
+       "Start        0.0746   \n",
+       "End          0.0772   \n",
+       "PG0Dis       0.0546   \n",
+       "PG0Shown     0.0436   \n",
+       "PG0Submit    0.1096   \n",
+       "PG1Submit    0.1137   \n",
+       "PG2Submit    0.1073   \n",
+       "PG3Submit    0.1642   \n",
+       "PG4Dtr0_6   -0.0272   \n",
+       "PG4Psv7_8   -0.0217   \n",
+       "PG4Prm9_10   0.0169   \n",
+       "PG4AllResp  -0.0668   \n",
+       "PG4Submit    0.2360   \n",
+       "PG5_1Order   0.0238   \n",
+       "PG5_2Order   0.0469   \n",
+       "PG5_3Order   0.0538   \n",
+       "PG5_4Order  -0.0211   \n",
+       "PG5_5Order   0.0085   \n",
+       "PG5_6Order   0.0539   \n",
+       "PG5_7Order  -0.0617   \n",
+       "PG5_8Order  -0.0182   \n",
+       "PG5_9Order  -0.0280   \n",
+       "PG5_10Order -0.0092   \n",
+       "PG5_11Order  0.0275   \n",
+       "PG5_12Order  0.0167   \n",
+       "PG5_13Order -0.0614   \n",
+       "PG5Submit    0.2588   \n",
+       "PG6Submit    0.2904   \n",
+       "PG7Submit    0.2523   \n",
+       "PG8Submit    0.1932   \n",
+       "PG9Submit    0.2755   \n",
+       "PG10Submit   0.3131   \n",
+       "PG11Submit   0.2513   \n",
+       "PG12Submit   1.0000   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#get numeric fields only for correlation\n",
+    "sel = c()\n",
+    "for (i in 1:dim(data)[2]) if (is.numeric(data[,i])) sel = c(sel, i);\n",
+    "\n",
+    "\n",
+    "cor(data[,sel],method=\"spearman\",use=\"pairwise.complete.obs\"); #OK for any: uses ranks"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Interpret correlations: onlys start vs End, calculate differene instead\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "collapsed": true
+   },
+   "source": [
+    "### Simple questions\n",
+    "\n",
+    "- Time to take entire survey?\n",
+    "- Question that took the longest to complete?\n",
+    "- Question that took the least time?\n",
+    "- Top-ranked criteria?\n",
+    "- Demographic distribution by age?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Exploration of the Data\n",
+    "\n",
+    "I plot the response frequencies to get a better understanding of the distribution of the data."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 120,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Only examine the non-empty responses.\n",
+    "#print(dim(data))\n",
+    "mydim <- data[,28]\n",
+    "#print(data[,29])\n",
+    "sum <- 0\n",
+    "not <- 0\n",
+    "low <- 0\n",
+    "med <- 0\n",
+    "hgh <- 0\n",
+    "ess <- 0\n",
+    "for (i in 1:dim(data)[1]) {\n",
+    "    if (mydim[i] != \"\") {\n",
+    "        if(mydim[i] == \"Not a Priority\")\n",
+    "        {\n",
+    "            not <- not + 1\n",
+    "        }\n",
+    "        else if(mydim[i] == \"Low Priority\")\n",
+    "        {\n",
+    "            low <- low + 1\n",
+    "        }\n",
+    "        else if(mydim[i] == \"Medium Priority\")\n",
+    "        {\n",
+    "            med <- med + 1\n",
+    "        }\n",
+    "        else if(mydim[i] == \"High Priority\")\n",
+    "        {\n",
+    "            hgh <- hgh + 1\n",
+    "        }\n",
+    "        else #if(mydim[i] == \"Essential\")\n",
+    "        {\n",
+    "            ess <- ess + 1\n",
+    "        }\n",
+    "        \n",
+    "        sum <- sum + 1\n",
+    "        #print(paste(\"[\",i,\"]=\",mydim[i]));\n",
+    "    }\n",
+    "}\n",
+    "\n",
+    "valids = vector(,length=sum)\n",
+    "ctr <- 1\n",
+    "for (i in 1:dim(data)[1]) {\n",
+    "    if (mydim[i] != \"\") {\n",
+    "        valids[ctr] <- i;\n",
+    "        ctr <- ctr +1;\n",
+    "    }\n",
+    "}\n",
+    "#print(sum)\n",
+    "#print(not)\n",
+    "#print(low)\n",
+    "#print(med)\n",
+    "#print(hgh)\n",
+    "#print(ess)\n",
+    "#print(histo)\n",
+    "#hist(data$PG5_3HDS)\n",
+    "#hist(histo)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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",
+      "text/plain": [
+       "Plot with title \"Frequency of Choice\""
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Build the histogram.\n",
+    "histo <- c(not, low, med, hgh, ess)\n",
+    "histo <- histo/sum\n",
+    "\n",
+    "# Standardize the data.\n",
+    "avg <- 0\n",
+    "expec_sq <- 0\n",
+    "for (i in 1:5) {\n",
+    "    avg <- avg + i*histo[i];\n",
+    "    expec_sq <- expec_sq + i*i*histo[i];\n",
+    "}\n",
+    "std_dev <- expec_sq - (avg*avg)\n",
+    "\n",
+    "#print(avg)\n",
+    "#print(std_dev)\n",
+    "\n",
+    "x_1 <- (1-avg)/std_dev\n",
+    "x_2 <- (2-avg)/std_dev\n",
+    "x_3 <- (3-avg)/std_dev\n",
+    "x_4 <- (4-avg)/std_dev\n",
+    "x_5 <- (5-avg)/std_dev\n",
+    "\n",
+    "# Plot the histogram.\n",
+    "xvals = c(x_1, x_2, x_3, x_4, x_5)\n",
+    "names(histo) <- c(\"1 - Not a Priority\", \"2 - Low Priority\", \"3 - Med. Priority\", \"4 - High Priority\", \"5 - Essential\")\n",
+    "#namelab <- c(\"1 - Not Priority\", \"2 - Low Priority\", \"3 - Med. Priority\", \"4 - High Priority\", \"5 - Essential\")\n",
+    "#names(histo) <- c(\"1\", \"2\", \"3\", \"4\", \"5\")\n",
+    "plt <- barplot(histo, ylab=\"Frequency\", main=\"Frequency of Choice\", col=\"blue3\", cex.names=0.75)\n",
+    "#text(plt, namelab, srt=60)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nGE4UIyajAAAAAElFTkSuQmCC",
+      "text/plain": [
+       "Plot with title \"Frequency of Choice - Standardized\""
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Plot against standardized data.\n",
+    "plot(xvals, histo, xlab=\"Standardized Input\", ylab=\"Frequency\", main=\"Frequency of Choice - Standardized\", col=\"red\")\n",
+    "lines(xvals, histo)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Observations\n",
+    "\n",
+    "The responses are skewed to the right. This means that there are more survey respondents who found helpful discussion on StackExchange to be a higher priority than there are who found it to be a lower priority. Standardizing these results does not change the skewness of the distribution."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Explanation of How Measures are Calculated from the Data, Transformation, and Cleaning\n",
+    "\n",
+    "Calculations and cleaning are both done is this segment of code. First, I only parse the data samples for which a response was given. Then, I encode the answer options from the survey into numerical values. These values are in the interval [0,8], where '0' represents not answered (for optional questions) or the first choice (for required questions). In this scenario, the cleaning of the data is the replacement of missing values by '0'. '8' represents \"other.\" The other values are the relative placement of the answer choice in the given options scaled in the range [0,8]. For example, if there are three answer choices for a required question, then if the respondent selects the first answer, then the encoded value is '0'; if he or she selects the second, then the value is '4' (50% of 8); and if he or she selects the third, then the value is '8'."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 269,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Pair down data before running this next line.\n",
+    "data[is.na(data)] <- \"\"\n",
+    "\n",
+    "# Convert non-numeric values to numeric values.\n",
+    "for (i in 1:dim(data)[1]) {\n",
+    "    for (j in 1:dim(data)[2]) {\n",
+    "        #print(i+j)\n",
+    "        #print(is.na(data[i,][j]))\n",
+    "        #if( is.na(data[i,][j]) == FALSE )\n",
+    "        if( data[i,][j] != \"\")\n",
+    "        {\n",
+    "            # Generic cases:\n",
+    "            if ( data[i,][j] == \"Not a Priority\" || data[i,][j] == \"Less than 2 years\" || data[i,][j] == \"R\" || data[i,][j] == \"C/C++\" || data[i,][j] == \"Java\" || data[i,][j] == \"Python\" || data[i,][j] == \"Javascript\" || data[i,][j] == \"Go\" || data[i,][j] == \"C#\" || data[i,][j] == \"1\" || data[i,][j] == \"Native\" || data[i,][j] == \"18 - 24\" || data[i,][j] == \"For personal work and/or research use\" || data[i,][j] == \"For a wider audience, such as developers of other packages or other software\" || data[i,][j] == \"For a training / class that I took\") {\n",
+    "                newdata[i,][j] <- 1;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Low Priority\"    || data[i,][j] == \"2 - 5 years\" || data[i,][j] == \"2 - 3\" || data[i,][j] == \"Not native - full working proficiency\" || data[i,][j] == \"25 - 34\") {\n",
+    "                newdata[i,][j] <- 2;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Medium Priority\" || data[i,][j] == \"6 - 8 years\" || data[i,][j] == \"4 - 6\" || data[i,][j] == \"Not native - sufficient working proficiency\" || data[i,][j] == \"35 - 44\") {\n",
+    "                newdata[i,][j] <- 3;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"High Priority\"   || data[i,][j] == \"9 - 12 years\" || data[i,][j] == \"7 - 10\" || data[i,][j] == \"Not native - limited working proficiency\" || data[i,][j] == \"45 - 54\") {\n",
+    "                newdata[i,][j] <- 4;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Essential\"       || data[i,][j] == \"13 - 19 years\" || data[i,][j] == \"11 - 15\" || data[i,][j] == \"Not native - passable\" || data[i,][j] == \"55 - 64\") {\n",
+    "                newdata[i,][j] <- 5;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"20 years or more\" || data[i,][j] == \"16 - 25\" || data[i,][j] == \"Not native - very limited\" || data[i,][j] == \"65 and over\") {\n",
+    "                newdata[i,][j] <- 6;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"More than 25\") {\n",
+    "                newdata[i,][j] <- 7;\n",
+    "            }\n",
+    "            else # Not sure\n",
+    "            {\n",
+    "                newdata[i,][j] <- 8;\n",
+    "            }\n",
+    "            \n",
+    "            # Special cases:\n",
+    "            if( data[i,][j] == \"Yes\" || data[i,][j] == \"Software Engineer\" || data[i,][j] == \"The core \\\"data.frame\\\" object lacked functionality that I needed\") {\n",
+    "                newdata[i,][j] <- 0.0;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Female\" || data[i,][j] == \"Chose the package to be compatible with other packages in my project\") {\n",
+    "                newdata[i,][j] <- 2.0;                \n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Data Scientist\" || data[i,][j] == \"No\" || data[i,][j] == \"Male\" || data[i,][j] == \"I saw a recommendation for the package\" ) {\n",
+    "                newdata[i,][j] <- 4.0;\n",
+    "            }\n",
+    "            else if ( data[i,][j] == \"Prefer not to answer\" || data[i,][j] == \"I didn't choose to use the package, it was included implicitly / unintentionally\" ) {\n",
+    "                newdata[i,][j] <- 6.0;\n",
+    "            }\n",
+    "        }\n",
+    "        else\n",
+    "        {\n",
+    "            newdata[i,][j] <- 0; # Denotes missing value.\n",
+    "        }\n",
+    "    }\n",
+    "}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 382,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Create the data frame for the regression.\n",
+    "cleandata = newdata[valids,]\n",
+    "indexointerest = c(8,9,10,11,13,15,62,64,65,66,67,68,69,70,73,75,77,79,81)\n",
+    "indexoaug = c(indexointerest, 28)\n",
+    "\n",
+    "y <- cleandata[,28]\n",
+    "x <- cleandata[,indexointerest]\n",
+    "aug <- cleandata[,indexoaug]\n",
+    "augfrm <- as.data.frame(aug)\n",
+    "aug <- augfrm"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Correlation Analysis Using Sanitized Data\n",
+    "\n",
+    "We examine the correlations to estimate the most influential predictors. There are no highly correlated measures and therefore none of them need to be dropped."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 383,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [],
+      "text/latex": [],
+      "text/markdown": [],
+      "text/plain": [
+       "<0 x 0 matrix>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Find all correlations.\n",
+    "#cor(aug,method=\"spearman\",use=\"pairwise.complete.obs\"); #OK for any: uses ranks\n",
+    "\n",
+    "# Find top correlations.\n",
+    "hiCor <- function(x, level){\n",
+    "  res <- cor(x,method=\"spearman\");\n",
+    "  res1 <- res;\n",
+    "  res1[res<0] <- -res[res < 0];\n",
+    "  for (i in 1:dim(x)[2]){\n",
+    "    res1[i,i] <- 0;\n",
+    "  }\n",
+    "  sel <- apply(res1,1,max) > level;\n",
+    "  res[sel,sel];\n",
+    "}\n",
+    "\n",
+    "hiCor(aug,.7)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Perform Principal Component Analysis\n",
+    "\n",
+    "We use Principal Component Analysis to reduce the dimensionality of the data. By inspection of the plot of the Fraction of Variance explained, we see that the first eleven principal components explain 70% of the variance. The relatively gradual progression of variance explained indicates that the variables are relatively independent."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 384,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "      V7  V16  V19\n",
+      "PC1 0.51 0.49 0.31\n",
+      "      V1    V3   V4   V11\n",
+      "PC2 0.36 -0.35 0.37 -0.39\n",
+      "       V1   V2   V8  V14\n",
+      "PC3 -0.34 0.37 0.33 0.42\n",
+      "       V1    V4    V6   V12   V17\n",
+      "PC4 -0.39 -0.37 -0.31 -0.32 -0.32\n",
+      "     V17  V18\n",
+      "PC5 0.51 0.62\n",
+      "      V3   V5  V11  V15\n",
+      "PC6 0.48 0.36 0.31 0.32\n",
+      "       V6   V10  V20\n",
+      "PC7 -0.54 -0.31 0.45\n",
+      "       V2   V3   V8  V19\n",
+      "PC8 -0.49 0.39 0.37 0.39\n",
+      "     V5 V13\n",
+      "PC9 0.4 0.8\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\nc70AAAAASUVORK5CYII=",
+      "text/plain": [
+       "plot without title"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#augfrm <- as.data.frame(aug)\n",
+    "#logs <- cbind(augfrm$V20, log(augfrm$V1+1), log(augfrm$V2+1), log(augfrm$V3+1), log(augfrm$V4+1),\n",
+    "#              log(augfrm$V5+1), log(augfrm$V6+1), log(augfrm$V7+1), log(augfrm$V8+1), log(augfrm$V9+1),\n",
+    "#              log(augfrm$V10+1), log(augfrm$V11+1), log(augfrm$V12+1), log(augfrm$V13+1), log(augfrm$V14+1),\n",
+    "#              log(augfrm$V15+1), log(augfrm$V16+1), log(augfrm$V17+1), log(augfrm$V18+1), log(augfrm$V19+1));\n",
+    "#aug <- data.frame(logs)\n",
+    "#augfrm <- aug\n",
+    "plot(1:20,cumsum(prcomp(aug, retx=F,scale=T)$sdev^2)/sum(prcomp(aug, retx=F,scale=T)$sdev^2),ylim=c(0,1),xlab=\"Number of Components\",ylab=\"Fraction of Variance\");\n",
+    "\n",
+    "#cumsum(prcomp(x, retx=F,scale=T)$sdev^2)/sum(prcomp(x, retx=F,scale=T)$sdev^2)\n",
+    "res<-prcomp(aug, retx=F,scale=T)$rotation[,1:9];\n",
+    "resAbs <- res;\n",
+    "resAbs[res<0] <- -res[res<0];\n",
+    "for (i in 1:9)\n",
+    "  print(t(res[resAbs[,i]>.3,i,drop=FALSE]));"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Regress Predictors"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 385,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>V7</th><td> 7  </td><td>0.38</td></tr>\n",
+       "\t<tr><th scope=row>V16</th><td>16  </td><td>0.34</td></tr>\n",
+       "\t<tr><th scope=row>V19</th><td>19  </td><td>0.15</td></tr>\n",
+       "\t<tr><th scope=row>V11</th><td>11  </td><td>0.13</td></tr>\n",
+       "\t<tr><th scope=row>V14</th><td>14  </td><td>0.13</td></tr>\n",
+       "\t<tr><th scope=row>V15</th><td>15  </td><td>0.13</td></tr>\n",
+       "\t<tr><th scope=row>V12</th><td>12  </td><td>0.12</td></tr>\n",
+       "\t<tr><th scope=row>V9</th><td> 9  </td><td>0.11</td></tr>\n",
+       "\t<tr><th scope=row>V3</th><td> 3  </td><td>0.08</td></tr>\n",
+       "\t<tr><th scope=row>V18</th><td>18  </td><td>0.08</td></tr>\n",
+       "\t<tr><th scope=row>V10</th><td>10  </td><td>0.07</td></tr>\n",
+       "\t<tr><th scope=row>V6</th><td> 6  </td><td>0.06</td></tr>\n",
+       "\t<tr><th scope=row>V2</th><td> 2  </td><td>0.05</td></tr>\n",
+       "\t<tr><th scope=row>V4</th><td> 4  </td><td>0.05</td></tr>\n",
+       "\t<tr><th scope=row>V8</th><td> 8  </td><td>0.05</td></tr>\n",
+       "\t<tr><th scope=row>V17</th><td>17  </td><td>0.05</td></tr>\n",
+       "\t<tr><th scope=row>V20</th><td>20  </td><td>0.04</td></tr>\n",
+       "\t<tr><th scope=row>V5</th><td> 5  </td><td>0.03</td></tr>\n",
+       "\t<tr><th scope=row>V13</th><td>13  </td><td>0.02</td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|ll}\n",
+       "\tV7 &  7   & 0.38\\\\\n",
+       "\tV16 & 16   & 0.34\\\\\n",
+       "\tV19 & 19   & 0.15\\\\\n",
+       "\tV11 & 11   & 0.13\\\\\n",
+       "\tV14 & 14   & 0.13\\\\\n",
+       "\tV15 & 15   & 0.13\\\\\n",
+       "\tV12 & 12   & 0.12\\\\\n",
+       "\tV9 &  9   & 0.11\\\\\n",
+       "\tV3 &  3   & 0.08\\\\\n",
+       "\tV18 & 18   & 0.08\\\\\n",
+       "\tV10 & 10   & 0.07\\\\\n",
+       "\tV6 &  6   & 0.06\\\\\n",
+       "\tV2 &  2   & 0.05\\\\\n",
+       "\tV4 &  4   & 0.05\\\\\n",
+       "\tV8 &  8   & 0.05\\\\\n",
+       "\tV17 & 17   & 0.05\\\\\n",
+       "\tV20 & 20   & 0.04\\\\\n",
+       "\tV5 &  5   & 0.03\\\\\n",
+       "\tV13 & 13   & 0.02\\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| V7 |  7   | 0.38 | \n",
+       "| V16 | 16   | 0.34 | \n",
+       "| V19 | 19   | 0.15 | \n",
+       "| V11 | 11   | 0.13 | \n",
+       "| V14 | 14   | 0.13 | \n",
+       "| V15 | 15   | 0.13 | \n",
+       "| V12 | 12   | 0.12 | \n",
+       "| V9 |  9   | 0.11 | \n",
+       "| V3 |  3   | 0.08 | \n",
+       "| V18 | 18   | 0.08 | \n",
+       "| V10 | 10   | 0.07 | \n",
+       "| V6 |  6   | 0.06 | \n",
+       "| V2 |  2   | 0.05 | \n",
+       "| V4 |  4   | 0.05 | \n",
+       "| V8 |  8   | 0.05 | \n",
+       "| V17 | 17   | 0.05 | \n",
+       "| V20 | 20   | 0.04 | \n",
+       "| V5 |  5   | 0.03 | \n",
+       "| V13 | 13   | 0.02 | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "    [,1] [,2]\n",
+       "V7   7   0.38\n",
+       "V16 16   0.34\n",
+       "V19 19   0.15\n",
+       "V11 11   0.13\n",
+       "V14 14   0.13\n",
+       "V15 15   0.13\n",
+       "V12 12   0.12\n",
+       "V9   9   0.11\n",
+       "V3   3   0.08\n",
+       "V18 18   0.08\n",
+       "V10 10   0.07\n",
+       "V6   6   0.06\n",
+       "V2   2   0.05\n",
+       "V4   4   0.05\n",
+       "V8   8   0.05\n",
+       "V17 17   0.05\n",
+       "V20 20   0.04\n",
+       "V5   5   0.03\n",
+       "V13 13   0.02"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Analyze aug.\n",
+    "#augfrm <- as.data.frame(aug)\n",
+    "# Swap columns so that response variable is the first.\n",
+    "#augfrm <- augfrm[,c(\"V20\",\"V1\",\"V2\",\"V3\",\"V4\",\"V5\",\"V6\",\"V7\",\"V8\",\"V9\",\"V10\",\"V11\",\"V12\",\"V13\",\"V14\",\"V15\",\"V16\",\"V17\",\"V18\",\"V19\")]\n",
+    "\n",
+    "res <- c();\n",
+    "vnam <- names(augfrm);\n",
+    "#print(vnam)\n",
+    "for (i in 2:dim(augfrm)[2]){\n",
+    "  fmla <- as.formula(paste(vnam[i],paste(vnam[-c(1,i)],collapse=\"+\"),sep=\"~\"));\n",
+    "  res <- rbind(res,c(i,round(summary(lm(fmla,data=augfrm))$r.squared,2)));\n",
+    "}\n",
+    "row.names(res) <- vnam[res[,1]];\n",
+    "res[order(-res[,2]),];\n",
+    "#print(augfrm)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Fitting of the Statistical Model\n",
+    "\n",
+    "We do the regression to select a model. Interestingly, the best model was found to be the quasipoisson distribution of the single variable, which is the respondents' answer to question three: \"Which of the following is the closest to why you chose that package?\" The p-value is within the threshold of statistical significance, and the error is minimized using this model."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 388,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "fmla ~ V20 ~ V6"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#fmla ~ V20 ~ V1+V2+V3+V4+V5+V6+V7+V8+V9+V10+V11+V12+V13+V14+V15+V16+V17+V18+V19\n",
+    "#fmla ~ V20 ~ V6\n",
+    "fmla ~ V20 ~ V6"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 394,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "\n",
+       "Call:\n",
+       "glm(formula = V20 ~ V6, family = quasipoisson, data = augfrm)\n",
+       "\n",
+       "Deviance Residuals: \n",
+       "   Min      1Q  Median      3Q     Max  \n",
+       "-1.576  -0.270   0.265   0.375   0.909  \n",
+       "\n",
+       "Coefficients:\n",
+       "            Estimate Std. Error t value Pr(>|t|)    \n",
+       "(Intercept)  1.25058    0.01872   66.81   <2e-16 ***\n",
+       "V6          -0.00962    0.00457   -2.11    0.036 *  \n",
+       "---\n",
+       "Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n",
+       "\n",
+       "(Dispersion parameter for quasipoisson family taken to be 0.4)\n",
+       "\n",
+       "    Null deviance: 262.33  on 584  degrees of freedom\n",
+       "Residual deviance: 260.55  on 583  degrees of freedom\n",
+       "AIC: NA\n",
+       "\n",
+       "Number of Fisher Scoring iterations: 4\n"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "library(mgcv)\n",
+    "library(MASS)\n",
+    "#mod <- glm(V20 ~ V1+V2+V3+V4+V5+V6+V7+V8+V9+V10+V11+V12+V13+V14+V15+V16+V17+V18+V19,family=Gamma,data=augfrm);\n",
+    "#mod <- lm(V20 ~ V1+V2+V3+V4+V5+V6+V7+V8+V9+V10+V11+V12+V13+V14+V15+V16+V17+V18+V19,data=augfrm);\n",
+    "#summary(mod);\n",
+    "#mod <- glm(V20 ~ V16+V17,family=quasibinomial,data=augfrm);\n",
+    "#mod <- glm(V20 ~ V6+V16+V17,family=quasibinomial,data=augfrm);\n",
+    "#mod <- glm(V20 ~ V6,family=quasibinomial,data=augfrm);   #-- good\n",
+    "#summary(mod);\n",
+    "#mod <- glm(V20 ~ V6,family=inverse.gaussian,data=augfrm); #-- good\n",
+    "#summary(mod);\n",
+    "#mod <- glm(V20 ~ V6,family=gaussian,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "#---------------\n",
+    "mod <- glm(V20 ~ V6,family=quasipoisson,data=augfrm);    #-- good\n",
+    "summary(mod);\n",
+    "#mod <- glm(V20 ~ V6,family=Gamma,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "#mod <- glm.nb(V20 ~ V6,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "###start\n",
+    "#augfrm$V20 <- augfrm$V20/5.0\n",
+    "#mod <- glm(V20 ~ V6,family=quasibinomial,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "###end\n",
+    "#mod <- glm(V20 ~ V6,family=quasi,data=augfrm);    #-- good\n",
+    "#summary(mod);\n",
+    "##\n",
+    "mod <- lm(V20 ~ V6,data=augfrm);    #-- good\n",
+    "##summary(mod);\n",
+    "##mod <- lm(V20 ~ V7+V16+V19,data=augfrm);    #-- good\n",
+    "##summary(mod);\n",
+    "#mod <- glm(V20 ~ V7+V16+V19,family=quasipoisson,data=augfrm);    #-- good\n",
+    "#summary(mod);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Interpretation of the Coefficients\n",
+    "\n",
+    "For this model, there are only two coefficients, including the intercept, due to the model being represented most accurately using a single variable. The intercept is 1.25125, and the slope of the variable corresponding to the answers for question three is -0.00966. This means that as the sought-out need of the package decreased, the helpfulness of the discussion on StackExchange increased. This is interesting because it seems to be more intuitive that if a package is more sought-out, then one might be more likely benefit from helpful discussion. This was not the case, however."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 390,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Deviance</th><th scope=col>Resid. Df</th><th scope=col>Resid. Dev</th><th scope=col>Pr(&gt;Chi)</th></tr></thead>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>NULL</th><td>NA   </td><td> NA  </td><td>584  </td><td>262  </td><td>   NA</td></tr>\n",
+       "\t<tr><th scope=row>V6</th><td> 1   </td><td>1.8  </td><td>583  </td><td>261  </td><td>0.035</td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|lllll}\n",
+       "  & Df & Deviance & Resid. Df & Resid. Dev & Pr(>Chi)\\\\\n",
+       "\\hline\n",
+       "\tNULL & NA    &  NA   & 584   & 262   &    NA\\\\\n",
+       "\tV6 &  1    & 1.8   & 583   & 261   & 0.035\\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| <!--/--> | Df | Deviance | Resid. Df | Resid. Dev | Pr(>Chi) | \n",
+       "|---|---|\n",
+       "| NULL | NA    |  NA   | 584   | 262   |    NA | \n",
+       "| V6 |  1    | 1.8   | 583   | 261   | 0.035 | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "     Df Deviance Resid. Df Resid. Dev Pr(>Chi)\n",
+       "NULL NA  NA      584       262           NA   \n",
+       "V6    1 1.8      583       261        0.035   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Deviance</th><th scope=col>Resid. Df</th><th scope=col>Resid. Dev</th><th scope=col>Pr(&gt;Chi)</th></tr></thead>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>NULL</th><td>NA   </td><td> NA  </td><td>584  </td><td>262  </td><td>   NA</td></tr>\n",
+       "\t<tr><th scope=row>V6</th><td> 1   </td><td>1.8  </td><td>583  </td><td>261  </td><td>0.035</td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|lllll}\n",
+       "  & Df & Deviance & Resid. Df & Resid. Dev & Pr(>Chi)\\\\\n",
+       "\\hline\n",
+       "\tNULL & NA    &  NA   & 584   & 262   &    NA\\\\\n",
+       "\tV6 &  1    & 1.8   & 583   & 261   & 0.035\\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| <!--/--> | Df | Deviance | Resid. Df | Resid. Dev | Pr(>Chi) | \n",
+       "|---|---|\n",
+       "| NULL | NA    |  NA   | 584   | 262   |    NA | \n",
+       "| V6 |  1    | 1.8   | 583   | 261   | 0.035 | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "     Df Deviance Resid. Df Resid. Dev Pr(>Chi)\n",
+       "NULL NA  NA      584       262           NA   \n",
+       "V6    1 1.8      583       261        0.035   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "<table>\n",
+       "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Deviance</th><th scope=col>scaled dev.</th><th scope=col>Pr(&gt;Chi)</th></tr></thead>\n",
+       "<tbody>\n",
+       "\t<tr><th scope=row>&lt;none&gt;</th><td>NA   </td><td>261  </td><td> NA  </td><td>   NA</td></tr>\n",
+       "\t<tr><th scope=row>V6</th><td> 1   </td><td>262  </td><td>4.5  </td><td>0.035</td></tr>\n",
+       "</tbody>\n",
+       "</table>\n"
+      ],
+      "text/latex": [
+       "\\begin{tabular}{r|llll}\n",
+       "  & Df & Deviance & scaled dev. & Pr(>Chi)\\\\\n",
+       "\\hline\n",
+       "\t<none> & NA    & 261   &  NA   &    NA\\\\\n",
+       "\tV6 &  1    & 262   & 4.5   & 0.035\\\\\n",
+       "\\end{tabular}\n"
+      ],
+      "text/markdown": [
+       "\n",
+       "| <!--/--> | Df | Deviance | scaled dev. | Pr(>Chi) | \n",
+       "|---|---|\n",
+       "| <none> | NA    | 261   |  NA   |    NA | \n",
+       "| V6 |  1    | 262   | 4.5   | 0.035 | \n",
+       "\n",
+       "\n"
+      ],
+      "text/plain": [
+       "       Df Deviance scaled dev. Pr(>Chi)\n",
+       "<none> NA 261       NA            NA   \n",
+       "V6      1 262      4.5         0.035   "
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "anova(mod, test=\"Chi\");\n",
+    "anova(mod, test=\"Chisq\");\n",
+    "drop1(mod, test=\"Chi\");\n",
+    "library(car)\n",
+    "#vif(mod);"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 391,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#ys <- augfrm$V20\n",
+    "#xs <- augfrm$V6\n",
+    "#print(ys)\n",
+    "#print(xs)\n",
+    "#plot(xs,ys,ylim=c(0,20),xlab=\"Measure\",ylab=\"Response\");\n",
+    "#plot(V20 ~ V6, augfrm)\n",
+    "#plot(V20 ~ V6, augfrm)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Recommendations for how to improve the survey:\n",
+    "\n",
+    "It may be useful to ask those who are taking the survey if they had trouble answering any of the questions. Some of them may have taken longer to complete certain questions by virtue of the questions having different forms (e.g. click-and-drag vs multiple choice). There could also be an option for \"Other\" or \"I don't know\" for more of the questions. This could potentially help remove noise in the data if a person did not know to which category an idea should belong (the form of question PG5_3HDS) - as in the case of  the third question. There could also be a final question regarding how thoroughly they believe their thoughts to this survey are captured by their responses. If a survey respondent has 'very limited' English proficiency, then there may be noise in the survey data by virtue of them not being able to fully understand the questions and answers. "
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "R",
+   "language": "R",
+   "name": "ir"
+  },
+  "language_info": {
+   "codemirror_mode": "r",
+   "file_extension": ".r",
+   "mimetype": "text/x-r-source",
+   "name": "R",
+   "pygments_lexer": "r",
+   "version": "3.4.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 1
+}
diff --git a/example.ipynb b/example.ipynb
index 310a50d..7f60587 100644
--- a/example.ipynb
+++ b/example.ipynb
@@ -1,624 +1,970 @@
-{
- "cells": [
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "A Survey on Technology Choice\n",
-    "======\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {
-    "collapsed": true
-   },
-   "outputs": [],
-   "source": [
-    "# For nicer printing\n",
-    "options(digits=2);"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 16,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# Read in the data\n",
-    "data <- read.csv(\"TechSurvey - Survey.csv\",header=T);\n",
-    "\n",
-    "#convert date to unix second\n",
-    "for (i in c(\"Start\", \"End\")) \n",
-    "    data[,i] = as.numeric(as.POSIXct(strptime(data[,i], \"%Y-%m-%d %H:%M:%S\")))\n",
-    "for (i in 0:12){\n",
-    "    vnam = paste(c(\"PG\",i,\"Submit\"), collapse=\"\")\n",
-    "    data[,vnam] = as.numeric(as.POSIXct(strptime(data[,vnam], \"%Y-%m-%d %H:%M:%S\")))\n",
-    "}\n",
-    "#calculate differences in time    \n",
-    "for (i in 12:0){\n",
-    "    pv = paste(c(\"PG\",i-1,\"Submit\"), collapse=\"\");\n",
-    "    if (i==0) \n",
-    "        pv=\"Start\";\n",
-    "    vnam = paste(c(\"PG\",i,\"Submit\"), collapse=\"\");\n",
-    "    data[,vnam] = data[,vnam] -data[,pv];\n",
-    "}"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 17,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "     Device    Completed       Start               End               PG0Dis   \n",
-       "        :  2   0    :  2   Min.   :1.54e+09   Min.   :1.54e+09   Min.   :  0  \n",
-       " Bot    :  1   FALSE:546   1st Qu.:1.54e+09   1st Qu.:1.54e+09   1st Qu.:  0  \n",
-       " PC     :955   TRUE :805   Median :1.54e+09   Median :1.54e+09   Median :  1  \n",
-       " Phone  :376               Mean   :1.54e+09   Mean   :1.54e+09   Mean   : 44  \n",
-       " Tablet : 16               3rd Qu.:1.54e+09   3rd Qu.:1.54e+09   3rd Qu.: 24  \n",
-       " Unknown:  3               Max.   :1.54e+09   Max.   :1.54e+09   Max.   :168  \n",
-       "                           NA's   :2          NA's   :548        NA's   :73   \n",
-       "    PG0Shown      PG0Submit    \n",
-       " Min.   :   0   Min.   :    2  \n",
-       " 1st Qu.:   0   1st Qu.:    6  \n",
-       " Median : 102   Median :    9  \n",
-       " Mean   : 249   Mean   :  299  \n",
-       " 3rd Qu.: 428   3rd Qu.:   15  \n",
-       " Max.   :1190   Max.   :76226  \n",
-       " NA's   :73     NA's   :199    \n",
-       "                                       PG1PsnUse  \n",
-       " For personal work and/or research use      :727  \n",
-       "                                            :613  \n",
-       " Chapter book                               :  1  \n",
-       " For training attendees of my sessions      :  1  \n",
-       " It's a coures on tidyverse that I developed:  1  \n",
-       " Learning how to create a package           :  1  \n",
-       " (Other)                                    :  9  \n",
-       "                                                                        PG1WdAuth   \n",
-       "                                                                             :1145  \n",
-       " Because Microsoft was paying me to do it                                    :   1  \n",
-       " For a wider audience, such as developers of other packages or other software: 205  \n",
-       " Hackathon                                                                   :   1  \n",
-       " Tool for other researchers to analyse their data                            :   1  \n",
-       "                                                                                    \n",
-       "                                                                                    \n",
-       "                                PG1Trn    \n",
-       "                                   :1168  \n",
-       " For a training / class that I took: 184  \n",
-       " teaching economics                :   1  \n",
-       "                                          \n",
-       "                                          \n",
-       "                                          \n",
-       "                                          \n",
-       "                                                               PG1Other   \n",
-       "                                                                   :1272  \n",
-       " Other                                                             :  23  \n",
-       " Teaching                                                          :   3  \n",
-       " teaching                                                          :   3  \n",
-       " For training that I gave                                          :   2  \n",
-       " How does software technology spreads in the open source community?:   2  \n",
-       " (Other)                                                           :  48  \n",
-       "   PG1Submit        PG2Resp      PG2Submit   \n",
-       " Min.   :   1           :431   Min.   :   1  \n",
-       " 1st Qu.:  11   No      :374   1st Qu.:   9  \n",
-       " Median :  16   Not sure:303   Median :  13  \n",
-       " Mean   :  39   Yes     :245   Mean   :  29  \n",
-       " 3rd Qu.:  30                  3rd Qu.:  29  \n",
-       " Max.   :6892                  Max.   :1470  \n",
-       " NA's   :282                   NA's   :377   \n",
-       "                                                                            PG2Resp.1  \n",
-       "                                                                                 :480  \n",
-       " The core \"data.frame\" object lacked functionality that I needed                 :354  \n",
-       " I saw a recommendation for the package                                          :149  \n",
-       " Chose the package to be compatible with other packages in my project            :137  \n",
-       " I didn't choose to use the package, it was included implicitly / unintentionally: 39  \n",
-       " Other                                                                           :  6  \n",
-       " (Other)                                                                         :188  \n",
-       "   PG3Submit      PG4Dtr0_6      PG4Psv7_8      PG4Prm9_10    PG4AllResp \n",
-       " Min.   :   1   Min.   :0      Min.   :7      Min.   : 9    Min.   : 0   \n",
-       " 1st Qu.:  16   1st Qu.:3      1st Qu.:7      1st Qu.:10    1st Qu.: 8   \n",
-       " Median :  23   Median :5      Median :8      Median :10    Median : 9   \n",
-       " Mean   :  44   Mean   :4      Mean   :8      Mean   :10    Mean   : 8   \n",
-       " 3rd Qu.:  40   3rd Qu.:6      3rd Qu.:8      3rd Qu.:10    3rd Qu.:10   \n",
-       " Max.   :4648   Max.   :6      Max.   :8      Max.   :10    Max.   :10   \n",
-       " NA's   :451    NA's   :1232   NA's   :1115   NA's   :869   NA's   :510  \n",
-       "   PG4Submit             PG5_1RRPQ     PG5_1Order                PG5_1Time  \n",
-       " Min.   :  1                  :877   Min.   : 1                       :877  \n",
-       " 1st Qu.:  6   Essential      : 60   1st Qu.: 4    2018-10-11 13:32:57:  3  \n",
-       " Median :  7   High Priority  :102   Median : 7    2018-10-11 13:29:20:  2  \n",
-       " Mean   :  9   Low Priority   : 85   Mean   : 7    2018-10-11 13:34:56:  2  \n",
-       " 3rd Qu.:  9   Medium Priority:134   3rd Qu.:11    2018-10-11 13:14:25:  1  \n",
-       " Max.   :332   Not a Priority : 95   Max.   :20    2018-10-11 13:14:45:  1  \n",
-       " NA's   :473                         NA's   :877   (Other)            :467  \n",
-       "           PG5_2BNUI     PG5_2Order                PG5_2Time  \n",
-       "                :923   Min.   : 1                       :923  \n",
-       " Essential      :  3   1st Qu.: 5    2018-10-11 13:21:46:  2  \n",
-       " High Priority  : 26   Median : 8    2018-10-11 13:38:07:  2  \n",
-       " Low Priority   :121   Mean   : 8    2018-10-11 13:14:27:  1  \n",
-       " Medium Priority: 92   3rd Qu.:11    2018-10-11 13:14:40:  1  \n",
-       " Not a Priority :188   Max.   :21    2018-10-11 13:15:18:  1  \n",
-       "                       NA's   :923   (Other)            :423  \n",
-       "            PG5_3HDS     PG5_3Order                PG5_3Time  \n",
-       "                :768   Min.   : 1                       :768  \n",
-       " Essential      :103   1st Qu.: 2    2018-10-11 13:54:00:  2  \n",
-       " High Priority  :200   Median : 4    2018-10-11 14:21:45:  2  \n",
-       " Low Priority   : 69   Mean   : 6    2018-10-11 14:25:51:  2  \n",
-       " Medium Priority:162   3rd Qu.: 9    2018-10-11 17:21:39:  2  \n",
-       " Not a Priority : 51   Max.   :19    2018-10-11 13:14:18:  1  \n",
-       "                       NA's   :768   (Other)            :576  \n",
-       "            PG5_4VGP     PG5_4Order                PG5_4Time  \n",
-       "                :852   Min.   : 1                       :852  \n",
-       " Essential      : 22   1st Qu.: 4    2018-10-11 13:16:50:  2  \n",
-       " High Priority  :111   Median : 6    2018-10-11 13:29:51:  2  \n",
-       " Low Priority   : 88   Mean   : 7    2018-10-11 13:37:39:  2  \n",
-       " Medium Priority:164   3rd Qu.:10    2018-10-11 13:38:11:  2  \n",
-       " Not a Priority :116   Max.   :18    2018-10-11 15:42:22:  2  \n",
-       "                       NA's   :852   (Other)            :491  \n",
-       "            PG5_5PHR     PG5_5Order                PG5_5Time  \n",
-       "                :753   Min.   : 1                       :753  \n",
-       " Essential      : 79   1st Qu.: 2    2018-10-11 13:18:47:  2  \n",
-       " High Priority  :252   Median : 4    2018-10-11 13:18:48:  2  \n",
-       " Low Priority   : 63   Mean   : 6    2018-10-11 13:32:40:  2  \n",
-       " Medium Priority:162   3rd Qu.: 8    2018-10-11 13:38:12:  2  \n",
-       " Not a Priority : 44   Max.   :18    2018-10-11 13:45:48:  2  \n",
-       "                       NA's   :753   (Other)            :590  \n",
-       "           PG5_6SSYOP    PG5_6Order                PG5_6Time  \n",
-       "                :852   Min.   : 1                       :852  \n",
-       " Essential      : 63   1st Qu.: 3    2018-10-11 13:20:00:  2  \n",
-       " High Priority  :137   Median : 6    2018-10-11 13:40:53:  2  \n",
-       " Low Priority   : 84   Mean   : 7    2018-10-11 13:44:00:  2  \n",
-       " Medium Priority:110   3rd Qu.:10    2018-10-11 13:45:41:  2  \n",
-       " Not a Priority :107   Max.   :17    2018-10-11 16:22:38:  2  \n",
-       "                       NA's   :852   (Other)            :491  \n",
-       "           PG5_7NDYP     PG5_7Order                PG5_7Time  \n",
-       "                :934   Min.   : 1                       :934  \n",
-       " Essential      :  8   1st Qu.: 4    2018-10-11 13:18:50:  2  \n",
-       " High Priority  : 31   Median : 7    2018-10-11 14:23:19:  2  \n",
-       " Low Priority   : 93   Mean   : 7    2018-10-11 13:14:22:  1  \n",
-       " Medium Priority: 52   3rd Qu.:11    2018-10-11 13:14:50:  1  \n",
-       " Not a Priority :235   Max.   :17    2018-10-11 13:15:08:  1  \n",
-       "                       NA's   :934   (Other)            :412  \n",
-       "            PG5_8CP      PG5_8Order                PG5_8Time  \n",
-       "                :715   Min.   : 1                       :715  \n",
-       " Essential      :232   1st Qu.: 1    2018-10-11 13:29:46:  2  \n",
-       " High Priority  :197   Median : 4    2018-10-11 13:37:00:  2  \n",
-       " Low Priority   : 52   Mean   : 5    2018-10-11 13:38:36:  2  \n",
-       " Medium Priority:121   3rd Qu.: 8    2018-10-11 13:39:22:  2  \n",
-       " Not a Priority : 36   Max.   :20    2018-10-11 14:02:46:  2  \n",
-       "                       NA's   :715   (Other)            :628  \n",
-       "            PG5_9FRP     PG5_9Order                PG5_9Time  \n",
-       "                :738   Min.   : 1                       :738  \n",
-       " Essential      :165   1st Qu.: 2    2018-10-11 13:35:13:  2  \n",
-       " High Priority  :243   Median : 4    2018-10-11 13:37:34:  2  \n",
-       " Low Priority   : 42   Mean   : 5    2018-10-11 14:02:44:  2  \n",
-       " Medium Priority:125   3rd Qu.: 9    2018-10-11 13:14:17:  1  \n",
-       " Not a Priority : 40   Max.   :19    2018-10-11 13:14:52:  1  \n",
-       "                       NA's   :738   (Other)            :607  \n",
-       "           PG5_10RPA    PG5_10Order                PG5_10Time \n",
-       "                :779   Min.   : 1                       :779  \n",
-       " Essential      : 55   1st Qu.: 2    2018-10-11 13:17:47:  2  \n",
-       " High Priority  :204   Median : 5    2018-10-11 13:27:48:  2  \n",
-       " Low Priority   : 79   Mean   : 6    2018-10-11 13:45:33:  2  \n",
-       " Medium Priority:151   3rd Qu.: 9    2018-10-11 15:30:40:  2  \n",
-       " Not a Priority : 85   Max.   :22    2018-10-11 15:48:40:  2  \n",
-       "                       NA's   :779   (Other)            :564  \n",
-       "           PG5_11NSG    PG5_11Order                PG5_11Time \n",
-       "                :890   Min.   : 1                       :890  \n",
-       " Essential      :  6   1st Qu.: 4    2018-10-11 13:19:44:  2  \n",
-       " High Priority  : 29   Median : 6    2018-10-11 13:21:53:  2  \n",
-       " Low Priority   : 89   Mean   : 7    2018-10-11 13:31:08:  2  \n",
-       " Medium Priority: 68   3rd Qu.:10    2018-10-11 13:40:48:  2  \n",
-       " Not a Priority :271   Max.   :18    2018-10-11 14:55:47:  2  \n",
-       "                       NA's   :890   (Other)            :453  \n",
-       "           PG5_12NWG    PG5_12Order                PG5_12Time \n",
-       "                :916   Min.   : 1                       :916  \n",
-       " High Priority  : 10   1st Qu.: 5    2018-10-11 13:30:08:  2  \n",
-       " Low Priority   : 77   Median : 7    2018-10-11 13:31:20:  2  \n",
-       " Medium Priority: 25   Mean   : 7    2018-10-11 14:55:40:  2  \n",
-       " Not a Priority :325   3rd Qu.:11    2018-10-11 13:14:46:  1  \n",
-       "                       Max.   :18    2018-10-11 13:14:50:  1  \n",
-       "                       NA's   :916   (Other)            :429  \n",
-       "           PG5_13NFG    PG5_13Order                PG5_13Time    PG5Submit   \n",
-       "                :920   Min.   : 1                       :920   Min.   :   3  \n",
-       " High Priority  : 10   1st Qu.: 4    2018-10-11 13:17:39:  2   1st Qu.:  45  \n",
-       " Low Priority   : 76   Median : 7    2018-10-11 13:35:20:  2   Median :  62  \n",
-       " Medium Priority: 37   Mean   : 7    2018-10-11 13:35:56:  2   Mean   :  87  \n",
-       " Not a Priority :310   3rd Qu.:10    2018-10-11 15:42:36:  2   3rd Qu.:  84  \n",
-       "                       Max.   :17    2018-10-11 13:14:41:  1   Max.   :4130  \n",
-       "                       NA's   :920   (Other)            :424   NA's   :544   \n",
-       "              PG6Resp      PG6Submit         PG7R      PG7C.C..     PG7Java    \n",
-       "                  :549   Min.   :   1   R      :684        :1268        :1306  \n",
-       " 13 - 19 years    : 50   1st Qu.:   7          :614   C/C++:  84   Java :  46  \n",
-       " 2 - 5 years      :332   Median :   9   Perl   :  6   Cobol:   1   scala:   1  \n",
-       " 20 years or more : 45   Mean   :  24   PHP    :  5                            \n",
-       " 6 - 8 years      :112   3rd Qu.:  12   SQL    :  5                            \n",
-       " 9 - 12 years     : 70   Max.   :5759   Ruby   :  4                            \n",
-       " Less than 2 years:195   NA's   :543    (Other): 35                            \n",
-       "  PG7Python       PG7Javascript  PG7Go     PG7C.        PG7Other   \n",
-       "       :1129             :1304     :1351     :1330          :1283  \n",
-       " Python: 223   Javascript:  48   Go:   2   C#:  23   Other  :  62  \n",
-       " perl  :   1   sql       :   1                       PHP    :   2  \n",
-       "                                                     Matlab :   1  \n",
-       "                                                     Ruby   :   1  \n",
-       "                                                     SAS    :   1  \n",
-       "                                                     (Other):   3  \n",
-       "   PG7Submit                PG8Resp      PG8Submit           PG9Resp   \n",
-       " Min.   :  1                    :570   Min.   :  1               :562  \n",
-       " 1st Qu.:  6   Data Scientist   :379   1st Qu.:  5   2 - 3       :229  \n",
-       " Median :  8   Software Engineer: 55   Median :  8   4 - 6       :166  \n",
-       " Mean   : 11   Student          : 24   Mean   : 12   7 - 10      :122  \n",
-       " 3rd Qu.: 11   Researcher       : 15   3rd Qu.: 14   1           : 94  \n",
-       " Max.   :777   PhD student      : 10   Max.   :207   More than 25: 92  \n",
-       " NA's   :542   (Other)          :300   NA's   :546   (Other)     : 88  \n",
-       "   PG9Submit                                            PG10Resp  \n",
-       " Min.   :    0                                              :565  \n",
-       " 1st Qu.:    7   Native                                     :424  \n",
-       " Median :   10   Not native - full working proficiency      :263  \n",
-       " Mean   :   40   Not native - limited working proficiency   : 17  \n",
-       " 3rd Qu.:   14   Not native - passable                      :  5  \n",
-       " Max.   :20126   Not native - sufficient working proficiency: 77  \n",
-       " NA's   :547     Not native - very limited                  :  2  \n",
-       "   PG10Submit                   PG11Resp     PG11Submit         PG12Resp  \n",
-       " Min.   :   1                       :576   Min.   :  1              :590  \n",
-       " 1st Qu.:   5   Female              : 96   1st Qu.:  4   18 - 24    : 34  \n",
-       " Median :   7   Male                :652   Median :  4   25 - 34    :338  \n",
-       " Mean   :  17   Prefer not to answer: 29   Mean   :  6   35 - 44    :258  \n",
-       " 3rd Qu.:  11                              3rd Qu.:  5   45 - 54    : 89  \n",
-       " Max.   :5966                              Max.   :605   55 - 64    : 36  \n",
-       " NA's   :546                               NA's   :548   65 and over:  8  \n",
-       "   PG12Submit  \n",
-       " Min.   :   1  \n",
-       " 1st Qu.:   4  \n",
-       " Median :   5  \n",
-       " Mean   :   8  \n",
-       " 3rd Qu.:   6  \n",
-       " Max.   :1566  \n",
-       " NA's   :548   "
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "#now explore variables\n",
-    "summary(data);"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "### Interpret  basic summaries"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 23,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<table>\n",
-       "<thead><tr><th></th><th scope=col>Start</th><th scope=col>End</th><th scope=col>PG0Dis</th><th scope=col>PG0Shown</th><th scope=col>PG0Submit</th><th scope=col>PG1Submit</th><th scope=col>PG2Submit</th><th scope=col>PG3Submit</th><th scope=col>PG4Dtr0_6</th><th scope=col>PG4Psv7_8</th><th scope=col>...</th><th scope=col>PG5_12Order</th><th scope=col>PG5_13Order</th><th scope=col>PG5Submit</th><th scope=col>PG6Submit</th><th scope=col>PG7Submit</th><th scope=col>PG8Submit</th><th scope=col>PG9Submit</th><th scope=col>PG10Submit</th><th scope=col>PG11Submit</th><th scope=col>PG12Submit</th></tr></thead>\n",
-       "<tbody>\n",
-       "\t<tr><th scope=row>Start</th><td> 1.0000 </td><td> 0.9952 </td><td>-0.0417 </td><td>-0.11507</td><td> 0.1350 </td><td> 0.1156 </td><td> 0.0791 </td><td> 0.0384 </td><td> 0.01210</td><td> 0.00371</td><td>...     </td><td>-0.0369 </td><td> 0.0598 </td><td> 0.08512</td><td> 0.0054 </td><td> 0.0776 </td><td> 0.0441 </td><td> 0.04101</td><td> 0.047  </td><td> 7.9e-02</td><td> 0.0746 </td></tr>\n",
-       "\t<tr><th scope=row>End</th><td> 0.9952 </td><td> 1.0000 </td><td>-0.0415 </td><td>-0.09879</td><td> 0.1142 </td><td> 0.1550 </td><td> 0.0791 </td><td> 0.0511 </td><td>-0.05185</td><td>-0.04576</td><td>...     </td><td>-0.0359 </td><td> 0.0661 </td><td> 0.09088</td><td> 0.0051 </td><td> 0.0759 </td><td> 0.0435 </td><td> 0.04071</td><td> 0.052  </td><td> 7.9e-02</td><td> 0.0772 </td></tr>\n",
-       "\t<tr><th scope=row>PG0Dis</th><td>-0.0417 </td><td>-0.0415 </td><td> 1.0000 </td><td> 0.87220</td><td> 0.0153 </td><td> 0.0065 </td><td> 0.0041 </td><td> 0.0567 </td><td> 0.16368</td><td> 0.02668</td><td>...     </td><td> 0.0151 </td><td> 0.0384 </td><td> 0.00601</td><td> 0.0277 </td><td> 0.0097 </td><td> 0.0354 </td><td> 0.00995</td><td>-0.029  </td><td>-4.5e-02</td><td> 0.0546 </td></tr>\n",
-       "\t<tr><th scope=row>PG0Shown</th><td>-0.1151 </td><td>-0.0988 </td><td> 0.8722 </td><td> 1.00000</td><td> 0.0360 </td><td> 0.0205 </td><td> 0.0023 </td><td> 0.0497 </td><td> 0.08226</td><td> 0.00036</td><td>...     </td><td> 0.0074 </td><td> 0.0407 </td><td>-0.00888</td><td> 0.0401 </td><td> 0.0121 </td><td> 0.0264 </td><td> 0.00056</td><td>-0.045  </td><td>-7.1e-02</td><td> 0.0436 </td></tr>\n",
-       "\t<tr><th scope=row>PG0Submit</th><td> 0.1350 </td><td> 0.1142 </td><td> 0.0153 </td><td> 0.03596</td><td> 1.0000 </td><td> 0.1088 </td><td> 0.1037 </td><td> 0.1273 </td><td>-0.00802</td><td>-0.03763</td><td>...     </td><td>-0.0161 </td><td>-0.0280 </td><td> 0.17671</td><td> 0.1518 </td><td> 0.1365 </td><td> 0.1258 </td><td> 0.17579</td><td> 0.225  </td><td> 1.1e-01</td><td> 0.1096 </td></tr>\n",
-       "\t<tr><th scope=row>PG1Submit</th><td> 0.1156 </td><td> 0.1550 </td><td> 0.0065 </td><td> 0.02047</td><td> 0.1088 </td><td> 1.0000 </td><td> 0.1452 </td><td> 0.2688 </td><td>-0.06852</td><td> 0.05661</td><td>...     </td><td> 0.0512 </td><td>-0.0651 </td><td> 0.24670</td><td> 0.2414 </td><td> 0.1133 </td><td> 0.1069 </td><td> 0.10895</td><td> 0.170  </td><td> 7.4e-02</td><td> 0.1137 </td></tr>\n",
-       "\t<tr><th scope=row>PG2Submit</th><td> 0.0791 </td><td> 0.0791 </td><td> 0.0041 </td><td> 0.00235</td><td> 0.1037 </td><td> 0.1452 </td><td> 1.0000 </td><td> 0.2045 </td><td> 0.00146</td><td> 0.00897</td><td>...     </td><td> 0.0210 </td><td>-0.0047 </td><td> 0.21851</td><td> 0.2696 </td><td> 0.1245 </td><td> 0.1567 </td><td> 0.20127</td><td> 0.099  </td><td> 1.1e-01</td><td> 0.1073 </td></tr>\n",
-       "\t<tr><th scope=row>PG3Submit</th><td> 0.0384 </td><td> 0.0511 </td><td> 0.0567 </td><td> 0.04968</td><td> 0.1273 </td><td> 0.2688 </td><td> 0.2045 </td><td> 1.0000 </td><td> 0.00865</td><td> 0.04424</td><td>...     </td><td> 0.0464 </td><td>-0.0222 </td><td> 0.26048</td><td> 0.2706 </td><td> 0.1316 </td><td> 0.1822 </td><td> 0.27450</td><td> 0.161  </td><td> 1.4e-01</td><td> 0.1642 </td></tr>\n",
-       "\t<tr><th scope=row>PG4Dtr0_6</th><td> 0.0121 </td><td>-0.0518 </td><td> 0.1637 </td><td> 0.08226</td><td>-0.0080 </td><td>-0.0685 </td><td> 0.0015 </td><td> 0.0087 </td><td> 1.00000</td><td>      NA</td><td>...     </td><td> 0.1774 </td><td>-0.1289 </td><td>-0.05214</td><td>-0.1618 </td><td> 0.1560 </td><td> 0.0695 </td><td>-0.07292</td><td> 0.044  </td><td> 8.4e-04</td><td>-0.0272 </td></tr>\n",
-       "\t<tr><th scope=row>PG4Psv7_8</th><td> 0.0037 </td><td>-0.0458 </td><td> 0.0267 </td><td> 0.00036</td><td>-0.0376 </td><td> 0.0566 </td><td> 0.0090 </td><td> 0.0442 </td><td>      NA</td><td> 1.00000</td><td>...     </td><td>-0.0008 </td><td>-0.0218 </td><td> 0.08974</td><td>-0.0146 </td><td>-0.0363 </td><td> 0.0526 </td><td> 0.05977</td><td> 0.069  </td><td>-4.9e-02</td><td>-0.0217 </td></tr>\n",
-       "\t<tr><th scope=row>PG4Prm9_10</th><td>-0.0267 </td><td>-0.0267 </td><td>-0.0092 </td><td> 0.03279</td><td>-0.0939 </td><td> 0.0120 </td><td>-0.0587 </td><td>-0.0062 </td><td>      NA</td><td>      NA</td><td>...     </td><td> 0.0233 </td><td> 0.0916 </td><td> 0.00077</td><td>-0.0418 </td><td>-0.0633 </td><td>-0.0550 </td><td>-0.02989</td><td>-0.061  </td><td>-8.6e-05</td><td> 0.0169 </td></tr>\n",
-       "\t<tr><th scope=row>PG4AllResp</th><td> 0.0063 </td><td>-0.0158 </td><td> 0.0018 </td><td>-0.02094</td><td>-0.0236 </td><td> 0.0297 </td><td> 0.0293 </td><td>-0.0193 </td><td> 1.00000</td><td> 1.00000</td><td>...     </td><td>-0.0306 </td><td>-0.0166 </td><td> 0.01248</td><td>-0.0040 </td><td>-0.0753 </td><td>-0.1294 </td><td>-0.03812</td><td>-0.106  </td><td>-8.2e-02</td><td>-0.0668 </td></tr>\n",
-       "\t<tr><th scope=row>PG4Submit</th><td> 0.0187 </td><td> 0.0172 </td><td>-0.0539 </td><td>-0.05978</td><td> 0.2191 </td><td> 0.1651 </td><td> 0.1515 </td><td> 0.1956 </td><td>-0.14272</td><td>-0.08350</td><td>...     </td><td>-0.0119 </td><td>-0.0376 </td><td> 0.27328</td><td> 0.3326 </td><td> 0.2775 </td><td> 0.1821 </td><td> 0.33236</td><td> 0.391  </td><td> 2.8e-01</td><td> 0.2360 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_1Order</th><td> 0.0218 </td><td> 0.0196 </td><td> 0.0140 </td><td> 0.01254</td><td>-0.0240 </td><td> 0.0750 </td><td>-0.0069 </td><td> 0.0578 </td><td>-0.09488</td><td>-0.01399</td><td>...     </td><td>-0.0785 </td><td>-0.0950 </td><td> 0.08054</td><td> 0.0334 </td><td> 0.0173 </td><td>-0.0388 </td><td> 0.01033</td><td>-0.096  </td><td>-2.5e-02</td><td> 0.0238 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_2Order</th><td> 0.0014 </td><td> 0.0002 </td><td>-0.0386 </td><td>-0.03617</td><td> 0.0402 </td><td>-0.0226 </td><td>-0.0297 </td><td> 0.0048 </td><td>-0.00954</td><td> 0.08081</td><td>...     </td><td> 0.0527 </td><td>-0.0652 </td><td> 0.03898</td><td>-0.0571 </td><td>-0.0551 </td><td>-0.0567 </td><td>-0.01925</td><td> 0.015  </td><td> 7.3e-03</td><td> 0.0469 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_3Order</th><td>-0.0089 </td><td>-0.0177 </td><td> 0.0441 </td><td> 0.04228</td><td> 0.0155 </td><td> 0.0391 </td><td>-0.0131 </td><td> 0.0172 </td><td> 0.13631</td><td> 0.04396</td><td>...     </td><td>-0.0698 </td><td>-0.0250 </td><td> 0.23450</td><td> 0.0419 </td><td> 0.0058 </td><td>-0.0086 </td><td> 0.02604</td><td> 0.063  </td><td> 3.4e-02</td><td> 0.0538 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_4Order</th><td> 0.0931 </td><td> 0.0949 </td><td>-0.0262 </td><td>-0.02214</td><td>-0.0172 </td><td> 0.0293 </td><td> 0.0560 </td><td>-0.0462 </td><td> 0.01735</td><td>-0.12489</td><td>...     </td><td>-0.0447 </td><td>-0.0329 </td><td> 0.14487</td><td> 0.0414 </td><td> 0.0460 </td><td> 0.0182 </td><td>-0.03734</td><td>-0.075  </td><td>-8.6e-02</td><td>-0.0211 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_5Order</th><td>-0.0523 </td><td>-0.0466 </td><td>-0.0087 </td><td>-0.01058</td><td> 0.0860 </td><td> 0.0345 </td><td> 0.0570 </td><td>-0.0165 </td><td> 0.04533</td><td>-0.06369</td><td>...     </td><td>-0.0499 </td><td>-0.0981 </td><td> 0.28698</td><td> 0.0498 </td><td> 0.0372 </td><td> 0.0427 </td><td>-0.02976</td><td> 0.076  </td><td> 2.4e-02</td><td> 0.0085 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_6Order</th><td> 0.0237 </td><td> 0.0217 </td><td>-0.0480 </td><td>-0.04902</td><td> 0.0762 </td><td> 0.0327 </td><td> 0.1077 </td><td> 0.0370 </td><td>-0.13255</td><td> 0.01662</td><td>...     </td><td>-0.0430 </td><td>-0.0031 </td><td> 0.22759</td><td> 0.0165 </td><td> 0.0222 </td><td> 0.0639 </td><td>-0.02974</td><td> 0.015  </td><td> 2.8e-02</td><td> 0.0539 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_7Order</th><td>-0.0200 </td><td>-0.0236 </td><td> 0.0220 </td><td>-0.00444</td><td>-0.1174 </td><td>-0.0815 </td><td>-0.0285 </td><td> 0.0242 </td><td>-0.16196</td><td>-0.06938</td><td>...     </td><td> 0.0410 </td><td> 0.0944 </td><td> 0.06439</td><td>-0.0222 </td><td>-0.1082 </td><td>-0.0804 </td><td>-0.01762</td><td>-0.017  </td><td>-4.4e-02</td><td>-0.0617 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_8Order</th><td>-0.0804 </td><td>-0.0852 </td><td>-0.0147 </td><td>-0.00433</td><td>-0.0421 </td><td>-0.0205 </td><td>-0.0387 </td><td>-0.0129 </td><td>-0.16181</td><td> 0.01019</td><td>...     </td><td>-0.0896 </td><td>-0.1168 </td><td> 0.13787</td><td>-0.1227 </td><td>-0.0126 </td><td>-0.0526 </td><td>-0.05699</td><td>-0.065  </td><td>-3.7e-02</td><td>-0.0182 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_9Order</th><td> 0.0171 </td><td> 0.0167 </td><td>-0.0712 </td><td>-0.10235</td><td> 0.0476 </td><td> 0.0260 </td><td>-0.0410 </td><td>-0.0641 </td><td>-0.07948</td><td>-0.09747</td><td>...     </td><td>-0.0431 </td><td>-0.0837 </td><td> 0.18534</td><td>-0.0188 </td><td>-0.0314 </td><td>-0.0898 </td><td>-0.01354</td><td>-0.034  </td><td> 6.2e-03</td><td>-0.0280 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_10Order</th><td>-0.0214 </td><td>-0.0112 </td><td> 0.0200 </td><td> 0.02736</td><td> 0.0086 </td><td>-0.0017 </td><td>-0.0418 </td><td> 0.0581 </td><td>-0.05310</td><td> 0.15949</td><td>...     </td><td>-0.0905 </td><td>-0.1214 </td><td> 0.22151</td><td> 0.0427 </td><td> 0.0311 </td><td> 0.0345 </td><td> 0.02011</td><td> 0.102  </td><td> 1.8e-02</td><td>-0.0092 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_11Order</th><td>-0.0241 </td><td>-0.0196 </td><td> 0.0190 </td><td> 0.02551</td><td> 0.0927 </td><td>-0.0047 </td><td>-0.1043 </td><td> 0.0279 </td><td> 0.02791</td><td>-0.03487</td><td>...     </td><td> 0.1233 </td><td> 0.1434 </td><td> 0.02942</td><td>-0.0055 </td><td> 0.0210 </td><td> 0.0232 </td><td> 0.05579</td><td>-0.038  </td><td>-2.5e-03</td><td> 0.0275 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_12Order</th><td>-0.0369 </td><td>-0.0359 </td><td> 0.0151 </td><td> 0.00743</td><td>-0.0161 </td><td> 0.0512 </td><td> 0.0210 </td><td> 0.0464 </td><td> 0.17741</td><td>-0.00080</td><td>...     </td><td> 1.0000 </td><td> 0.1231 </td><td> 0.10997</td><td> 0.0777 </td><td> 0.0529 </td><td> 0.0149 </td><td> 0.00295</td><td> 0.016  </td><td> 2.4e-02</td><td> 0.0167 </td></tr>\n",
-       "\t<tr><th scope=row>PG5_13Order</th><td> 0.0598 </td><td> 0.0661 </td><td> 0.0384 </td><td> 0.04072</td><td>-0.0280 </td><td>-0.0651 </td><td>-0.0047 </td><td>-0.0222 </td><td>-0.12890</td><td>-0.02179</td><td>...     </td><td> 0.1231 </td><td> 1.0000 </td><td> 0.00976</td><td>-0.0209 </td><td> 0.0355 </td><td> 0.0556 </td><td> 0.07229</td><td>-0.023  </td><td> 1.3e-02</td><td>-0.0614 </td></tr>\n",
-       "\t<tr><th scope=row>PG5Submit</th><td> 0.0851 </td><td> 0.0909 </td><td> 0.0060 </td><td>-0.00888</td><td> 0.1767 </td><td> 0.2467 </td><td> 0.2185 </td><td> 0.2605 </td><td>-0.05214</td><td> 0.08974</td><td>...     </td><td> 0.1100 </td><td> 0.0098 </td><td> 1.00000</td><td> 0.3224 </td><td> 0.2312 </td><td> 0.2035 </td><td> 0.30291</td><td> 0.269  </td><td> 2.4e-01</td><td> 0.2588 </td></tr>\n",
-       "\t<tr><th scope=row>PG6Submit</th><td> 0.0054 </td><td> 0.0051 </td><td> 0.0277 </td><td> 0.04005</td><td> 0.1518 </td><td> 0.2414 </td><td> 0.2696 </td><td> 0.2706 </td><td>-0.16179</td><td>-0.01463</td><td>...     </td><td> 0.0777 </td><td>-0.0209 </td><td> 0.32240</td><td> 1.0000 </td><td> 0.3086 </td><td> 0.2065 </td><td> 0.44528</td><td> 0.343  </td><td> 2.8e-01</td><td> 0.2904 </td></tr>\n",
-       "\t<tr><th scope=row>PG7Submit</th><td> 0.0776 </td><td> 0.0759 </td><td> 0.0097 </td><td> 0.01212</td><td> 0.1365 </td><td> 0.1133 </td><td> 0.1245 </td><td> 0.1316 </td><td> 0.15596</td><td>-0.03631</td><td>...     </td><td> 0.0529 </td><td> 0.0355 </td><td> 0.23120</td><td> 0.3086 </td><td> 1.0000 </td><td> 0.1606 </td><td> 0.27819</td><td> 0.312  </td><td> 2.8e-01</td><td> 0.2523 </td></tr>\n",
-       "\t<tr><th scope=row>PG8Submit</th><td> 0.0441 </td><td> 0.0435 </td><td> 0.0354 </td><td> 0.02635</td><td> 0.1258 </td><td> 0.1069 </td><td> 0.1567 </td><td> 0.1822 </td><td> 0.06953</td><td> 0.05260</td><td>...     </td><td> 0.0149 </td><td> 0.0556 </td><td> 0.20351</td><td> 0.2065 </td><td> 0.1606 </td><td> 1.0000 </td><td> 0.25569</td><td> 0.200  </td><td> 2.1e-01</td><td> 0.1932 </td></tr>\n",
-       "\t<tr><th scope=row>PG9Submit</th><td> 0.0410 </td><td> 0.0407 </td><td> 0.0099 </td><td> 0.00056</td><td> 0.1758 </td><td> 0.1090 </td><td> 0.2013 </td><td> 0.2745 </td><td>-0.07292</td><td> 0.05977</td><td>...     </td><td> 0.0029 </td><td> 0.0723 </td><td> 0.30291</td><td> 0.4453 </td><td> 0.2782 </td><td> 0.2557 </td><td> 1.00000</td><td> 0.290  </td><td> 2.8e-01</td><td> 0.2755 </td></tr>\n",
-       "\t<tr><th scope=row>PG10Submit</th><td> 0.0474 </td><td> 0.0517 </td><td>-0.0293 </td><td>-0.04481</td><td> 0.2248 </td><td> 0.1701 </td><td> 0.0989 </td><td> 0.1614 </td><td> 0.04433</td><td> 0.06942</td><td>...     </td><td> 0.0159 </td><td>-0.0227 </td><td> 0.26881</td><td> 0.3428 </td><td> 0.3121 </td><td> 0.2000 </td><td> 0.29018</td><td> 1.000  </td><td> 3.5e-01</td><td> 0.3131 </td></tr>\n",
-       "\t<tr><th scope=row>PG11Submit</th><td> 0.0790 </td><td> 0.0792 </td><td>-0.0454 </td><td>-0.07102</td><td> 0.1093 </td><td> 0.0738 </td><td> 0.1147 </td><td> 0.1383 </td><td> 0.00084</td><td>-0.04870</td><td>...     </td><td> 0.0240 </td><td> 0.0130 </td><td> 0.23552</td><td> 0.2777 </td><td> 0.2768 </td><td> 0.2065 </td><td> 0.27906</td><td> 0.346  </td><td> 1.0e+00</td><td> 0.2513 </td></tr>\n",
-       "\t<tr><th scope=row>PG12Submit</th><td> 0.0746 </td><td> 0.0772 </td><td> 0.0546 </td><td> 0.04364</td><td> 0.1096 </td><td> 0.1137 </td><td> 0.1073 </td><td> 0.1642 </td><td>-0.02721</td><td>-0.02169</td><td>...     </td><td> 0.0167 </td><td>-0.0614 </td><td> 0.25876</td><td> 0.2904 </td><td> 0.2523 </td><td> 0.1932 </td><td> 0.27550</td><td> 0.313  </td><td> 2.5e-01</td><td> 1.0000 </td></tr>\n",
-       "</tbody>\n",
-       "</table>\n"
-      ],
-      "text/latex": [
-       "\\begin{tabular}{r|llllllllllllllllllllllllllllllllll}\n",
-       "  & Start & End & PG0Dis & PG0Shown & PG0Submit & PG1Submit & PG2Submit & PG3Submit & PG4Dtr0\\_6 & PG4Psv7\\_8 & ... & PG5\\_12Order & PG5\\_13Order & PG5Submit & PG6Submit & PG7Submit & PG8Submit & PG9Submit & PG10Submit & PG11Submit & PG12Submit\\\\\n",
-       "\\hline\n",
-       "\tStart &  1.0000  &  0.9952  & -0.0417  & -0.11507 &  0.1350  &  0.1156  &  0.0791  &  0.0384  &  0.01210 &  0.00371 & ...      & -0.0369  &  0.0598  &  0.08512 &  0.0054  &  0.0776  &  0.0441  &  0.04101 &  0.047   &  7.9e-02 &  0.0746 \\\\\n",
-       "\tEnd &  0.9952  &  1.0000  & -0.0415  & -0.09879 &  0.1142  &  0.1550  &  0.0791  &  0.0511  & -0.05185 & -0.04576 & ...      & -0.0359  &  0.0661  &  0.09088 &  0.0051  &  0.0759  &  0.0435  &  0.04071 &  0.052   &  7.9e-02 &  0.0772 \\\\\n",
-       "\tPG0Dis & -0.0417  & -0.0415  &  1.0000  &  0.87220 &  0.0153  &  0.0065  &  0.0041  &  0.0567  &  0.16368 &  0.02668 & ...      &  0.0151  &  0.0384  &  0.00601 &  0.0277  &  0.0097  &  0.0354  &  0.00995 & -0.029   & -4.5e-02 &  0.0546 \\\\\n",
-       "\tPG0Shown & -0.1151  & -0.0988  &  0.8722  &  1.00000 &  0.0360  &  0.0205  &  0.0023  &  0.0497  &  0.08226 &  0.00036 & ...      &  0.0074  &  0.0407  & -0.00888 &  0.0401  &  0.0121  &  0.0264  &  0.00056 & -0.045   & -7.1e-02 &  0.0436 \\\\\n",
-       "\tPG0Submit &  0.1350  &  0.1142  &  0.0153  &  0.03596 &  1.0000  &  0.1088  &  0.1037  &  0.1273  & -0.00802 & -0.03763 & ...      & -0.0161  & -0.0280  &  0.17671 &  0.1518  &  0.1365  &  0.1258  &  0.17579 &  0.225   &  1.1e-01 &  0.1096 \\\\\n",
-       "\tPG1Submit &  0.1156  &  0.1550  &  0.0065  &  0.02047 &  0.1088  &  1.0000  &  0.1452  &  0.2688  & -0.06852 &  0.05661 & ...      &  0.0512  & -0.0651  &  0.24670 &  0.2414  &  0.1133  &  0.1069  &  0.10895 &  0.170   &  7.4e-02 &  0.1137 \\\\\n",
-       "\tPG2Submit &  0.0791  &  0.0791  &  0.0041  &  0.00235 &  0.1037  &  0.1452  &  1.0000  &  0.2045  &  0.00146 &  0.00897 & ...      &  0.0210  & -0.0047  &  0.21851 &  0.2696  &  0.1245  &  0.1567  &  0.20127 &  0.099   &  1.1e-01 &  0.1073 \\\\\n",
-       "\tPG3Submit &  0.0384  &  0.0511  &  0.0567  &  0.04968 &  0.1273  &  0.2688  &  0.2045  &  1.0000  &  0.00865 &  0.04424 & ...      &  0.0464  & -0.0222  &  0.26048 &  0.2706  &  0.1316  &  0.1822  &  0.27450 &  0.161   &  1.4e-01 &  0.1642 \\\\\n",
-       "\tPG4Dtr0\\_6 &  0.0121  & -0.0518  &  0.1637  &  0.08226 & -0.0080  & -0.0685  &  0.0015  &  0.0087  &  1.00000 &       NA & ...      &  0.1774  & -0.1289  & -0.05214 & -0.1618  &  0.1560  &  0.0695  & -0.07292 &  0.044   &  8.4e-04 & -0.0272 \\\\\n",
-       "\tPG4Psv7\\_8 &  0.0037  & -0.0458  &  0.0267  &  0.00036 & -0.0376  &  0.0566  &  0.0090  &  0.0442  &       NA &  1.00000 & ...      & -0.0008  & -0.0218  &  0.08974 & -0.0146  & -0.0363  &  0.0526  &  0.05977 &  0.069   & -4.9e-02 & -0.0217 \\\\\n",
-       "\tPG4Prm9\\_10 & -0.0267  & -0.0267  & -0.0092  &  0.03279 & -0.0939  &  0.0120  & -0.0587  & -0.0062  &       NA &       NA & ...      &  0.0233  &  0.0916  &  0.00077 & -0.0418  & -0.0633  & -0.0550  & -0.02989 & -0.061   & -8.6e-05 &  0.0169 \\\\\n",
-       "\tPG4AllResp &  0.0063  & -0.0158  &  0.0018  & -0.02094 & -0.0236  &  0.0297  &  0.0293  & -0.0193  &  1.00000 &  1.00000 & ...      & -0.0306  & -0.0166  &  0.01248 & -0.0040  & -0.0753  & -0.1294  & -0.03812 & -0.106   & -8.2e-02 & -0.0668 \\\\\n",
-       "\tPG4Submit &  0.0187  &  0.0172  & -0.0539  & -0.05978 &  0.2191  &  0.1651  &  0.1515  &  0.1956  & -0.14272 & -0.08350 & ...      & -0.0119  & -0.0376  &  0.27328 &  0.3326  &  0.2775  &  0.1821  &  0.33236 &  0.391   &  2.8e-01 &  0.2360 \\\\\n",
-       "\tPG5\\_1Order &  0.0218  &  0.0196  &  0.0140  &  0.01254 & -0.0240  &  0.0750  & -0.0069  &  0.0578  & -0.09488 & -0.01399 & ...      & -0.0785  & -0.0950  &  0.08054 &  0.0334  &  0.0173  & -0.0388  &  0.01033 & -0.096   & -2.5e-02 &  0.0238 \\\\\n",
-       "\tPG5\\_2Order &  0.0014  &  0.0002  & -0.0386  & -0.03617 &  0.0402  & -0.0226  & -0.0297  &  0.0048  & -0.00954 &  0.08081 & ...      &  0.0527  & -0.0652  &  0.03898 & -0.0571  & -0.0551  & -0.0567  & -0.01925 &  0.015   &  7.3e-03 &  0.0469 \\\\\n",
-       "\tPG5\\_3Order & -0.0089  & -0.0177  &  0.0441  &  0.04228 &  0.0155  &  0.0391  & -0.0131  &  0.0172  &  0.13631 &  0.04396 & ...      & -0.0698  & -0.0250  &  0.23450 &  0.0419  &  0.0058  & -0.0086  &  0.02604 &  0.063   &  3.4e-02 &  0.0538 \\\\\n",
-       "\tPG5\\_4Order &  0.0931  &  0.0949  & -0.0262  & -0.02214 & -0.0172  &  0.0293  &  0.0560  & -0.0462  &  0.01735 & -0.12489 & ...      & -0.0447  & -0.0329  &  0.14487 &  0.0414  &  0.0460  &  0.0182  & -0.03734 & -0.075   & -8.6e-02 & -0.0211 \\\\\n",
-       "\tPG5\\_5Order & -0.0523  & -0.0466  & -0.0087  & -0.01058 &  0.0860  &  0.0345  &  0.0570  & -0.0165  &  0.04533 & -0.06369 & ...      & -0.0499  & -0.0981  &  0.28698 &  0.0498  &  0.0372  &  0.0427  & -0.02976 &  0.076   &  2.4e-02 &  0.0085 \\\\\n",
-       "\tPG5\\_6Order &  0.0237  &  0.0217  & -0.0480  & -0.04902 &  0.0762  &  0.0327  &  0.1077  &  0.0370  & -0.13255 &  0.01662 & ...      & -0.0430  & -0.0031  &  0.22759 &  0.0165  &  0.0222  &  0.0639  & -0.02974 &  0.015   &  2.8e-02 &  0.0539 \\\\\n",
-       "\tPG5\\_7Order & -0.0200  & -0.0236  &  0.0220  & -0.00444 & -0.1174  & -0.0815  & -0.0285  &  0.0242  & -0.16196 & -0.06938 & ...      &  0.0410  &  0.0944  &  0.06439 & -0.0222  & -0.1082  & -0.0804  & -0.01762 & -0.017   & -4.4e-02 & -0.0617 \\\\\n",
-       "\tPG5\\_8Order & -0.0804  & -0.0852  & -0.0147  & -0.00433 & -0.0421  & -0.0205  & -0.0387  & -0.0129  & -0.16181 &  0.01019 & ...      & -0.0896  & -0.1168  &  0.13787 & -0.1227  & -0.0126  & -0.0526  & -0.05699 & -0.065   & -3.7e-02 & -0.0182 \\\\\n",
-       "\tPG5\\_9Order &  0.0171  &  0.0167  & -0.0712  & -0.10235 &  0.0476  &  0.0260  & -0.0410  & -0.0641  & -0.07948 & -0.09747 & ...      & -0.0431  & -0.0837  &  0.18534 & -0.0188  & -0.0314  & -0.0898  & -0.01354 & -0.034   &  6.2e-03 & -0.0280 \\\\\n",
-       "\tPG5\\_10Order & -0.0214  & -0.0112  &  0.0200  &  0.02736 &  0.0086  & -0.0017  & -0.0418  &  0.0581  & -0.05310 &  0.15949 & ...      & -0.0905  & -0.1214  &  0.22151 &  0.0427  &  0.0311  &  0.0345  &  0.02011 &  0.102   &  1.8e-02 & -0.0092 \\\\\n",
-       "\tPG5\\_11Order & -0.0241  & -0.0196  &  0.0190  &  0.02551 &  0.0927  & -0.0047  & -0.1043  &  0.0279  &  0.02791 & -0.03487 & ...      &  0.1233  &  0.1434  &  0.02942 & -0.0055  &  0.0210  &  0.0232  &  0.05579 & -0.038   & -2.5e-03 &  0.0275 \\\\\n",
-       "\tPG5\\_12Order & -0.0369  & -0.0359  &  0.0151  &  0.00743 & -0.0161  &  0.0512  &  0.0210  &  0.0464  &  0.17741 & -0.00080 & ...      &  1.0000  &  0.1231  &  0.10997 &  0.0777  &  0.0529  &  0.0149  &  0.00295 &  0.016   &  2.4e-02 &  0.0167 \\\\\n",
-       "\tPG5\\_13Order &  0.0598  &  0.0661  &  0.0384  &  0.04072 & -0.0280  & -0.0651  & -0.0047  & -0.0222  & -0.12890 & -0.02179 & ...      &  0.1231  &  1.0000  &  0.00976 & -0.0209  &  0.0355  &  0.0556  &  0.07229 & -0.023   &  1.3e-02 & -0.0614 \\\\\n",
-       "\tPG5Submit &  0.0851  &  0.0909  &  0.0060  & -0.00888 &  0.1767  &  0.2467  &  0.2185  &  0.2605  & -0.05214 &  0.08974 & ...      &  0.1100  &  0.0098  &  1.00000 &  0.3224  &  0.2312  &  0.2035  &  0.30291 &  0.269   &  2.4e-01 &  0.2588 \\\\\n",
-       "\tPG6Submit &  0.0054  &  0.0051  &  0.0277  &  0.04005 &  0.1518  &  0.2414  &  0.2696  &  0.2706  & -0.16179 & -0.01463 & ...      &  0.0777  & -0.0209  &  0.32240 &  1.0000  &  0.3086  &  0.2065  &  0.44528 &  0.343   &  2.8e-01 &  0.2904 \\\\\n",
-       "\tPG7Submit &  0.0776  &  0.0759  &  0.0097  &  0.01212 &  0.1365  &  0.1133  &  0.1245  &  0.1316  &  0.15596 & -0.03631 & ...      &  0.0529  &  0.0355  &  0.23120 &  0.3086  &  1.0000  &  0.1606  &  0.27819 &  0.312   &  2.8e-01 &  0.2523 \\\\\n",
-       "\tPG8Submit &  0.0441  &  0.0435  &  0.0354  &  0.02635 &  0.1258  &  0.1069  &  0.1567  &  0.1822  &  0.06953 &  0.05260 & ...      &  0.0149  &  0.0556  &  0.20351 &  0.2065  &  0.1606  &  1.0000  &  0.25569 &  0.200   &  2.1e-01 &  0.1932 \\\\\n",
-       "\tPG9Submit &  0.0410  &  0.0407  &  0.0099  &  0.00056 &  0.1758  &  0.1090  &  0.2013  &  0.2745  & -0.07292 &  0.05977 & ...      &  0.0029  &  0.0723  &  0.30291 &  0.4453  &  0.2782  &  0.2557  &  1.00000 &  0.290   &  2.8e-01 &  0.2755 \\\\\n",
-       "\tPG10Submit &  0.0474  &  0.0517  & -0.0293  & -0.04481 &  0.2248  &  0.1701  &  0.0989  &  0.1614  &  0.04433 &  0.06942 & ...      &  0.0159  & -0.0227  &  0.26881 &  0.3428  &  0.3121  &  0.2000  &  0.29018 &  1.000   &  3.5e-01 &  0.3131 \\\\\n",
-       "\tPG11Submit &  0.0790  &  0.0792  & -0.0454  & -0.07102 &  0.1093  &  0.0738  &  0.1147  &  0.1383  &  0.00084 & -0.04870 & ...      &  0.0240  &  0.0130  &  0.23552 &  0.2777  &  0.2768  &  0.2065  &  0.27906 &  0.346   &  1.0e+00 &  0.2513 \\\\\n",
-       "\tPG12Submit &  0.0746  &  0.0772  &  0.0546  &  0.04364 &  0.1096  &  0.1137  &  0.1073  &  0.1642  & -0.02721 & -0.02169 & ...      &  0.0167  & -0.0614  &  0.25876 &  0.2904  &  0.2523  &  0.1932  &  0.27550 &  0.313   &  2.5e-01 &  1.0000 \\\\\n",
-       "\\end{tabular}\n"
-      ],
-      "text/markdown": [
-       "\n",
-       "| <!--/--> | Start | End | PG0Dis | PG0Shown | PG0Submit | PG1Submit | PG2Submit | PG3Submit | PG4Dtr0_6 | PG4Psv7_8 | ... | PG5_12Order | PG5_13Order | PG5Submit | PG6Submit | PG7Submit | PG8Submit | PG9Submit | PG10Submit | PG11Submit | PG12Submit | \n",
-       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
-       "| Start |  1.0000  |  0.9952  | -0.0417  | -0.11507 |  0.1350  |  0.1156  |  0.0791  |  0.0384  |  0.01210 |  0.00371 | ...      | -0.0369  |  0.0598  |  0.08512 |  0.0054  |  0.0776  |  0.0441  |  0.04101 |  0.047   |  7.9e-02 |  0.0746  | \n",
-       "| End |  0.9952  |  1.0000  | -0.0415  | -0.09879 |  0.1142  |  0.1550  |  0.0791  |  0.0511  | -0.05185 | -0.04576 | ...      | -0.0359  |  0.0661  |  0.09088 |  0.0051  |  0.0759  |  0.0435  |  0.04071 |  0.052   |  7.9e-02 |  0.0772  | \n",
-       "| PG0Dis | -0.0417  | -0.0415  |  1.0000  |  0.87220 |  0.0153  |  0.0065  |  0.0041  |  0.0567  |  0.16368 |  0.02668 | ...      |  0.0151  |  0.0384  |  0.00601 |  0.0277  |  0.0097  |  0.0354  |  0.00995 | -0.029   | -4.5e-02 |  0.0546  | \n",
-       "| PG0Shown | -0.1151  | -0.0988  |  0.8722  |  1.00000 |  0.0360  |  0.0205  |  0.0023  |  0.0497  |  0.08226 |  0.00036 | ...      |  0.0074  |  0.0407  | -0.00888 |  0.0401  |  0.0121  |  0.0264  |  0.00056 | -0.045   | -7.1e-02 |  0.0436  | \n",
-       "| PG0Submit |  0.1350  |  0.1142  |  0.0153  |  0.03596 |  1.0000  |  0.1088  |  0.1037  |  0.1273  | -0.00802 | -0.03763 | ...      | -0.0161  | -0.0280  |  0.17671 |  0.1518  |  0.1365  |  0.1258  |  0.17579 |  0.225   |  1.1e-01 |  0.1096  | \n",
-       "| PG1Submit |  0.1156  |  0.1550  |  0.0065  |  0.02047 |  0.1088  |  1.0000  |  0.1452  |  0.2688  | -0.06852 |  0.05661 | ...      |  0.0512  | -0.0651  |  0.24670 |  0.2414  |  0.1133  |  0.1069  |  0.10895 |  0.170   |  7.4e-02 |  0.1137  | \n",
-       "| PG2Submit |  0.0791  |  0.0791  |  0.0041  |  0.00235 |  0.1037  |  0.1452  |  1.0000  |  0.2045  |  0.00146 |  0.00897 | ...      |  0.0210  | -0.0047  |  0.21851 |  0.2696  |  0.1245  |  0.1567  |  0.20127 |  0.099   |  1.1e-01 |  0.1073  | \n",
-       "| PG3Submit |  0.0384  |  0.0511  |  0.0567  |  0.04968 |  0.1273  |  0.2688  |  0.2045  |  1.0000  |  0.00865 |  0.04424 | ...      |  0.0464  | -0.0222  |  0.26048 |  0.2706  |  0.1316  |  0.1822  |  0.27450 |  0.161   |  1.4e-01 |  0.1642  | \n",
-       "| PG4Dtr0_6 |  0.0121  | -0.0518  |  0.1637  |  0.08226 | -0.0080  | -0.0685  |  0.0015  |  0.0087  |  1.00000 |       NA | ...      |  0.1774  | -0.1289  | -0.05214 | -0.1618  |  0.1560  |  0.0695  | -0.07292 |  0.044   |  8.4e-04 | -0.0272  | \n",
-       "| PG4Psv7_8 |  0.0037  | -0.0458  |  0.0267  |  0.00036 | -0.0376  |  0.0566  |  0.0090  |  0.0442  |       NA |  1.00000 | ...      | -0.0008  | -0.0218  |  0.08974 | -0.0146  | -0.0363  |  0.0526  |  0.05977 |  0.069   | -4.9e-02 | -0.0217  | \n",
-       "| PG4Prm9_10 | -0.0267  | -0.0267  | -0.0092  |  0.03279 | -0.0939  |  0.0120  | -0.0587  | -0.0062  |       NA |       NA | ...      |  0.0233  |  0.0916  |  0.00077 | -0.0418  | -0.0633  | -0.0550  | -0.02989 | -0.061   | -8.6e-05 |  0.0169  | \n",
-       "| PG4AllResp |  0.0063  | -0.0158  |  0.0018  | -0.02094 | -0.0236  |  0.0297  |  0.0293  | -0.0193  |  1.00000 |  1.00000 | ...      | -0.0306  | -0.0166  |  0.01248 | -0.0040  | -0.0753  | -0.1294  | -0.03812 | -0.106   | -8.2e-02 | -0.0668  | \n",
-       "| PG4Submit |  0.0187  |  0.0172  | -0.0539  | -0.05978 |  0.2191  |  0.1651  |  0.1515  |  0.1956  | -0.14272 | -0.08350 | ...      | -0.0119  | -0.0376  |  0.27328 |  0.3326  |  0.2775  |  0.1821  |  0.33236 |  0.391   |  2.8e-01 |  0.2360  | \n",
-       "| PG5_1Order |  0.0218  |  0.0196  |  0.0140  |  0.01254 | -0.0240  |  0.0750  | -0.0069  |  0.0578  | -0.09488 | -0.01399 | ...      | -0.0785  | -0.0950  |  0.08054 |  0.0334  |  0.0173  | -0.0388  |  0.01033 | -0.096   | -2.5e-02 |  0.0238  | \n",
-       "| PG5_2Order |  0.0014  |  0.0002  | -0.0386  | -0.03617 |  0.0402  | -0.0226  | -0.0297  |  0.0048  | -0.00954 |  0.08081 | ...      |  0.0527  | -0.0652  |  0.03898 | -0.0571  | -0.0551  | -0.0567  | -0.01925 |  0.015   |  7.3e-03 |  0.0469  | \n",
-       "| PG5_3Order | -0.0089  | -0.0177  |  0.0441  |  0.04228 |  0.0155  |  0.0391  | -0.0131  |  0.0172  |  0.13631 |  0.04396 | ...      | -0.0698  | -0.0250  |  0.23450 |  0.0419  |  0.0058  | -0.0086  |  0.02604 |  0.063   |  3.4e-02 |  0.0538  | \n",
-       "| PG5_4Order |  0.0931  |  0.0949  | -0.0262  | -0.02214 | -0.0172  |  0.0293  |  0.0560  | -0.0462  |  0.01735 | -0.12489 | ...      | -0.0447  | -0.0329  |  0.14487 |  0.0414  |  0.0460  |  0.0182  | -0.03734 | -0.075   | -8.6e-02 | -0.0211  | \n",
-       "| PG5_5Order | -0.0523  | -0.0466  | -0.0087  | -0.01058 |  0.0860  |  0.0345  |  0.0570  | -0.0165  |  0.04533 | -0.06369 | ...      | -0.0499  | -0.0981  |  0.28698 |  0.0498  |  0.0372  |  0.0427  | -0.02976 |  0.076   |  2.4e-02 |  0.0085  | \n",
-       "| PG5_6Order |  0.0237  |  0.0217  | -0.0480  | -0.04902 |  0.0762  |  0.0327  |  0.1077  |  0.0370  | -0.13255 |  0.01662 | ...      | -0.0430  | -0.0031  |  0.22759 |  0.0165  |  0.0222  |  0.0639  | -0.02974 |  0.015   |  2.8e-02 |  0.0539  | \n",
-       "| PG5_7Order | -0.0200  | -0.0236  |  0.0220  | -0.00444 | -0.1174  | -0.0815  | -0.0285  |  0.0242  | -0.16196 | -0.06938 | ...      |  0.0410  |  0.0944  |  0.06439 | -0.0222  | -0.1082  | -0.0804  | -0.01762 | -0.017   | -4.4e-02 | -0.0617  | \n",
-       "| PG5_8Order | -0.0804  | -0.0852  | -0.0147  | -0.00433 | -0.0421  | -0.0205  | -0.0387  | -0.0129  | -0.16181 |  0.01019 | ...      | -0.0896  | -0.1168  |  0.13787 | -0.1227  | -0.0126  | -0.0526  | -0.05699 | -0.065   | -3.7e-02 | -0.0182  | \n",
-       "| PG5_9Order |  0.0171  |  0.0167  | -0.0712  | -0.10235 |  0.0476  |  0.0260  | -0.0410  | -0.0641  | -0.07948 | -0.09747 | ...      | -0.0431  | -0.0837  |  0.18534 | -0.0188  | -0.0314  | -0.0898  | -0.01354 | -0.034   |  6.2e-03 | -0.0280  | \n",
-       "| PG5_10Order | -0.0214  | -0.0112  |  0.0200  |  0.02736 |  0.0086  | -0.0017  | -0.0418  |  0.0581  | -0.05310 |  0.15949 | ...      | -0.0905  | -0.1214  |  0.22151 |  0.0427  |  0.0311  |  0.0345  |  0.02011 |  0.102   |  1.8e-02 | -0.0092  | \n",
-       "| PG5_11Order | -0.0241  | -0.0196  |  0.0190  |  0.02551 |  0.0927  | -0.0047  | -0.1043  |  0.0279  |  0.02791 | -0.03487 | ...      |  0.1233  |  0.1434  |  0.02942 | -0.0055  |  0.0210  |  0.0232  |  0.05579 | -0.038   | -2.5e-03 |  0.0275  | \n",
-       "| PG5_12Order | -0.0369  | -0.0359  |  0.0151  |  0.00743 | -0.0161  |  0.0512  |  0.0210  |  0.0464  |  0.17741 | -0.00080 | ...      |  1.0000  |  0.1231  |  0.10997 |  0.0777  |  0.0529  |  0.0149  |  0.00295 |  0.016   |  2.4e-02 |  0.0167  | \n",
-       "| PG5_13Order |  0.0598  |  0.0661  |  0.0384  |  0.04072 | -0.0280  | -0.0651  | -0.0047  | -0.0222  | -0.12890 | -0.02179 | ...      |  0.1231  |  1.0000  |  0.00976 | -0.0209  |  0.0355  |  0.0556  |  0.07229 | -0.023   |  1.3e-02 | -0.0614  | \n",
-       "| PG5Submit |  0.0851  |  0.0909  |  0.0060  | -0.00888 |  0.1767  |  0.2467  |  0.2185  |  0.2605  | -0.05214 |  0.08974 | ...      |  0.1100  |  0.0098  |  1.00000 |  0.3224  |  0.2312  |  0.2035  |  0.30291 |  0.269   |  2.4e-01 |  0.2588  | \n",
-       "| PG6Submit |  0.0054  |  0.0051  |  0.0277  |  0.04005 |  0.1518  |  0.2414  |  0.2696  |  0.2706  | -0.16179 | -0.01463 | ...      |  0.0777  | -0.0209  |  0.32240 |  1.0000  |  0.3086  |  0.2065  |  0.44528 |  0.343   |  2.8e-01 |  0.2904  | \n",
-       "| PG7Submit |  0.0776  |  0.0759  |  0.0097  |  0.01212 |  0.1365  |  0.1133  |  0.1245  |  0.1316  |  0.15596 | -0.03631 | ...      |  0.0529  |  0.0355  |  0.23120 |  0.3086  |  1.0000  |  0.1606  |  0.27819 |  0.312   |  2.8e-01 |  0.2523  | \n",
-       "| PG8Submit |  0.0441  |  0.0435  |  0.0354  |  0.02635 |  0.1258  |  0.1069  |  0.1567  |  0.1822  |  0.06953 |  0.05260 | ...      |  0.0149  |  0.0556  |  0.20351 |  0.2065  |  0.1606  |  1.0000  |  0.25569 |  0.200   |  2.1e-01 |  0.1932  | \n",
-       "| PG9Submit |  0.0410  |  0.0407  |  0.0099  |  0.00056 |  0.1758  |  0.1090  |  0.2013  |  0.2745  | -0.07292 |  0.05977 | ...      |  0.0029  |  0.0723  |  0.30291 |  0.4453  |  0.2782  |  0.2557  |  1.00000 |  0.290   |  2.8e-01 |  0.2755  | \n",
-       "| PG10Submit |  0.0474  |  0.0517  | -0.0293  | -0.04481 |  0.2248  |  0.1701  |  0.0989  |  0.1614  |  0.04433 |  0.06942 | ...      |  0.0159  | -0.0227  |  0.26881 |  0.3428  |  0.3121  |  0.2000  |  0.29018 |  1.000   |  3.5e-01 |  0.3131  | \n",
-       "| PG11Submit |  0.0790  |  0.0792  | -0.0454  | -0.07102 |  0.1093  |  0.0738  |  0.1147  |  0.1383  |  0.00084 | -0.04870 | ...      |  0.0240  |  0.0130  |  0.23552 |  0.2777  |  0.2768  |  0.2065  |  0.27906 |  0.346   |  1.0e+00 |  0.2513  | \n",
-       "| PG12Submit |  0.0746  |  0.0772  |  0.0546  |  0.04364 |  0.1096  |  0.1137  |  0.1073  |  0.1642  | -0.02721 | -0.02169 | ...      |  0.0167  | -0.0614  |  0.25876 |  0.2904  |  0.2523  |  0.1932  |  0.27550 |  0.313   |  2.5e-01 |  1.0000  | \n",
-       "\n",
-       "\n"
-      ],
-      "text/plain": [
-       "            Start   End     PG0Dis  PG0Shown PG0Submit PG1Submit PG2Submit\n",
-       "Start        1.0000  0.9952 -0.0417 -0.11507  0.1350    0.1156    0.0791  \n",
-       "End          0.9952  1.0000 -0.0415 -0.09879  0.1142    0.1550    0.0791  \n",
-       "PG0Dis      -0.0417 -0.0415  1.0000  0.87220  0.0153    0.0065    0.0041  \n",
-       "PG0Shown    -0.1151 -0.0988  0.8722  1.00000  0.0360    0.0205    0.0023  \n",
-       "PG0Submit    0.1350  0.1142  0.0153  0.03596  1.0000    0.1088    0.1037  \n",
-       "PG1Submit    0.1156  0.1550  0.0065  0.02047  0.1088    1.0000    0.1452  \n",
-       "PG2Submit    0.0791  0.0791  0.0041  0.00235  0.1037    0.1452    1.0000  \n",
-       "PG3Submit    0.0384  0.0511  0.0567  0.04968  0.1273    0.2688    0.2045  \n",
-       "PG4Dtr0_6    0.0121 -0.0518  0.1637  0.08226 -0.0080   -0.0685    0.0015  \n",
-       "PG4Psv7_8    0.0037 -0.0458  0.0267  0.00036 -0.0376    0.0566    0.0090  \n",
-       "PG4Prm9_10  -0.0267 -0.0267 -0.0092  0.03279 -0.0939    0.0120   -0.0587  \n",
-       "PG4AllResp   0.0063 -0.0158  0.0018 -0.02094 -0.0236    0.0297    0.0293  \n",
-       "PG4Submit    0.0187  0.0172 -0.0539 -0.05978  0.2191    0.1651    0.1515  \n",
-       "PG5_1Order   0.0218  0.0196  0.0140  0.01254 -0.0240    0.0750   -0.0069  \n",
-       "PG5_2Order   0.0014  0.0002 -0.0386 -0.03617  0.0402   -0.0226   -0.0297  \n",
-       "PG5_3Order  -0.0089 -0.0177  0.0441  0.04228  0.0155    0.0391   -0.0131  \n",
-       "PG5_4Order   0.0931  0.0949 -0.0262 -0.02214 -0.0172    0.0293    0.0560  \n",
-       "PG5_5Order  -0.0523 -0.0466 -0.0087 -0.01058  0.0860    0.0345    0.0570  \n",
-       "PG5_6Order   0.0237  0.0217 -0.0480 -0.04902  0.0762    0.0327    0.1077  \n",
-       "PG5_7Order  -0.0200 -0.0236  0.0220 -0.00444 -0.1174   -0.0815   -0.0285  \n",
-       "PG5_8Order  -0.0804 -0.0852 -0.0147 -0.00433 -0.0421   -0.0205   -0.0387  \n",
-       "PG5_9Order   0.0171  0.0167 -0.0712 -0.10235  0.0476    0.0260   -0.0410  \n",
-       "PG5_10Order -0.0214 -0.0112  0.0200  0.02736  0.0086   -0.0017   -0.0418  \n",
-       "PG5_11Order -0.0241 -0.0196  0.0190  0.02551  0.0927   -0.0047   -0.1043  \n",
-       "PG5_12Order -0.0369 -0.0359  0.0151  0.00743 -0.0161    0.0512    0.0210  \n",
-       "PG5_13Order  0.0598  0.0661  0.0384  0.04072 -0.0280   -0.0651   -0.0047  \n",
-       "PG5Submit    0.0851  0.0909  0.0060 -0.00888  0.1767    0.2467    0.2185  \n",
-       "PG6Submit    0.0054  0.0051  0.0277  0.04005  0.1518    0.2414    0.2696  \n",
-       "PG7Submit    0.0776  0.0759  0.0097  0.01212  0.1365    0.1133    0.1245  \n",
-       "PG8Submit    0.0441  0.0435  0.0354  0.02635  0.1258    0.1069    0.1567  \n",
-       "PG9Submit    0.0410  0.0407  0.0099  0.00056  0.1758    0.1090    0.2013  \n",
-       "PG10Submit   0.0474  0.0517 -0.0293 -0.04481  0.2248    0.1701    0.0989  \n",
-       "PG11Submit   0.0790  0.0792 -0.0454 -0.07102  0.1093    0.0738    0.1147  \n",
-       "PG12Submit   0.0746  0.0772  0.0546  0.04364  0.1096    0.1137    0.1073  \n",
-       "            PG3Submit PG4Dtr0_6 PG4Psv7_8 ... PG5_12Order PG5_13Order PG5Submit\n",
-       "Start        0.0384    0.01210   0.00371  ... -0.0369      0.0598      0.08512 \n",
-       "End          0.0511   -0.05185  -0.04576  ... -0.0359      0.0661      0.09088 \n",
-       "PG0Dis       0.0567    0.16368   0.02668  ...  0.0151      0.0384      0.00601 \n",
-       "PG0Shown     0.0497    0.08226   0.00036  ...  0.0074      0.0407     -0.00888 \n",
-       "PG0Submit    0.1273   -0.00802  -0.03763  ... -0.0161     -0.0280      0.17671 \n",
-       "PG1Submit    0.2688   -0.06852   0.05661  ...  0.0512     -0.0651      0.24670 \n",
-       "PG2Submit    0.2045    0.00146   0.00897  ...  0.0210     -0.0047      0.21851 \n",
-       "PG3Submit    1.0000    0.00865   0.04424  ...  0.0464     -0.0222      0.26048 \n",
-       "PG4Dtr0_6    0.0087    1.00000        NA  ...  0.1774     -0.1289     -0.05214 \n",
-       "PG4Psv7_8    0.0442         NA   1.00000  ... -0.0008     -0.0218      0.08974 \n",
-       "PG4Prm9_10  -0.0062         NA        NA  ...  0.0233      0.0916      0.00077 \n",
-       "PG4AllResp  -0.0193    1.00000   1.00000  ... -0.0306     -0.0166      0.01248 \n",
-       "PG4Submit    0.1956   -0.14272  -0.08350  ... -0.0119     -0.0376      0.27328 \n",
-       "PG5_1Order   0.0578   -0.09488  -0.01399  ... -0.0785     -0.0950      0.08054 \n",
-       "PG5_2Order   0.0048   -0.00954   0.08081  ...  0.0527     -0.0652      0.03898 \n",
-       "PG5_3Order   0.0172    0.13631   0.04396  ... -0.0698     -0.0250      0.23450 \n",
-       "PG5_4Order  -0.0462    0.01735  -0.12489  ... -0.0447     -0.0329      0.14487 \n",
-       "PG5_5Order  -0.0165    0.04533  -0.06369  ... -0.0499     -0.0981      0.28698 \n",
-       "PG5_6Order   0.0370   -0.13255   0.01662  ... -0.0430     -0.0031      0.22759 \n",
-       "PG5_7Order   0.0242   -0.16196  -0.06938  ...  0.0410      0.0944      0.06439 \n",
-       "PG5_8Order  -0.0129   -0.16181   0.01019  ... -0.0896     -0.1168      0.13787 \n",
-       "PG5_9Order  -0.0641   -0.07948  -0.09747  ... -0.0431     -0.0837      0.18534 \n",
-       "PG5_10Order  0.0581   -0.05310   0.15949  ... -0.0905     -0.1214      0.22151 \n",
-       "PG5_11Order  0.0279    0.02791  -0.03487  ...  0.1233      0.1434      0.02942 \n",
-       "PG5_12Order  0.0464    0.17741  -0.00080  ...  1.0000      0.1231      0.10997 \n",
-       "PG5_13Order -0.0222   -0.12890  -0.02179  ...  0.1231      1.0000      0.00976 \n",
-       "PG5Submit    0.2605   -0.05214   0.08974  ...  0.1100      0.0098      1.00000 \n",
-       "PG6Submit    0.2706   -0.16179  -0.01463  ...  0.0777     -0.0209      0.32240 \n",
-       "PG7Submit    0.1316    0.15596  -0.03631  ...  0.0529      0.0355      0.23120 \n",
-       "PG8Submit    0.1822    0.06953   0.05260  ...  0.0149      0.0556      0.20351 \n",
-       "PG9Submit    0.2745   -0.07292   0.05977  ...  0.0029      0.0723      0.30291 \n",
-       "PG10Submit   0.1614    0.04433   0.06942  ...  0.0159     -0.0227      0.26881 \n",
-       "PG11Submit   0.1383    0.00084  -0.04870  ...  0.0240      0.0130      0.23552 \n",
-       "PG12Submit   0.1642   -0.02721  -0.02169  ...  0.0167     -0.0614      0.25876 \n",
-       "            PG6Submit PG7Submit PG8Submit PG9Submit PG10Submit PG11Submit\n",
-       "Start        0.0054    0.0776    0.0441    0.04101   0.047      7.9e-02  \n",
-       "End          0.0051    0.0759    0.0435    0.04071   0.052      7.9e-02  \n",
-       "PG0Dis       0.0277    0.0097    0.0354    0.00995  -0.029     -4.5e-02  \n",
-       "PG0Shown     0.0401    0.0121    0.0264    0.00056  -0.045     -7.1e-02  \n",
-       "PG0Submit    0.1518    0.1365    0.1258    0.17579   0.225      1.1e-01  \n",
-       "PG1Submit    0.2414    0.1133    0.1069    0.10895   0.170      7.4e-02  \n",
-       "PG2Submit    0.2696    0.1245    0.1567    0.20127   0.099      1.1e-01  \n",
-       "PG3Submit    0.2706    0.1316    0.1822    0.27450   0.161      1.4e-01  \n",
-       "PG4Dtr0_6   -0.1618    0.1560    0.0695   -0.07292   0.044      8.4e-04  \n",
-       "PG4Psv7_8   -0.0146   -0.0363    0.0526    0.05977   0.069     -4.9e-02  \n",
-       "PG4Prm9_10  -0.0418   -0.0633   -0.0550   -0.02989  -0.061     -8.6e-05  \n",
-       "PG4AllResp  -0.0040   -0.0753   -0.1294   -0.03812  -0.106     -8.2e-02  \n",
-       "PG4Submit    0.3326    0.2775    0.1821    0.33236   0.391      2.8e-01  \n",
-       "PG5_1Order   0.0334    0.0173   -0.0388    0.01033  -0.096     -2.5e-02  \n",
-       "PG5_2Order  -0.0571   -0.0551   -0.0567   -0.01925   0.015      7.3e-03  \n",
-       "PG5_3Order   0.0419    0.0058   -0.0086    0.02604   0.063      3.4e-02  \n",
-       "PG5_4Order   0.0414    0.0460    0.0182   -0.03734  -0.075     -8.6e-02  \n",
-       "PG5_5Order   0.0498    0.0372    0.0427   -0.02976   0.076      2.4e-02  \n",
-       "PG5_6Order   0.0165    0.0222    0.0639   -0.02974   0.015      2.8e-02  \n",
-       "PG5_7Order  -0.0222   -0.1082   -0.0804   -0.01762  -0.017     -4.4e-02  \n",
-       "PG5_8Order  -0.1227   -0.0126   -0.0526   -0.05699  -0.065     -3.7e-02  \n",
-       "PG5_9Order  -0.0188   -0.0314   -0.0898   -0.01354  -0.034      6.2e-03  \n",
-       "PG5_10Order  0.0427    0.0311    0.0345    0.02011   0.102      1.8e-02  \n",
-       "PG5_11Order -0.0055    0.0210    0.0232    0.05579  -0.038     -2.5e-03  \n",
-       "PG5_12Order  0.0777    0.0529    0.0149    0.00295   0.016      2.4e-02  \n",
-       "PG5_13Order -0.0209    0.0355    0.0556    0.07229  -0.023      1.3e-02  \n",
-       "PG5Submit    0.3224    0.2312    0.2035    0.30291   0.269      2.4e-01  \n",
-       "PG6Submit    1.0000    0.3086    0.2065    0.44528   0.343      2.8e-01  \n",
-       "PG7Submit    0.3086    1.0000    0.1606    0.27819   0.312      2.8e-01  \n",
-       "PG8Submit    0.2065    0.1606    1.0000    0.25569   0.200      2.1e-01  \n",
-       "PG9Submit    0.4453    0.2782    0.2557    1.00000   0.290      2.8e-01  \n",
-       "PG10Submit   0.3428    0.3121    0.2000    0.29018   1.000      3.5e-01  \n",
-       "PG11Submit   0.2777    0.2768    0.2065    0.27906   0.346      1.0e+00  \n",
-       "PG12Submit   0.2904    0.2523    0.1932    0.27550   0.313      2.5e-01  \n",
-       "            PG12Submit\n",
-       "Start        0.0746   \n",
-       "End          0.0772   \n",
-       "PG0Dis       0.0546   \n",
-       "PG0Shown     0.0436   \n",
-       "PG0Submit    0.1096   \n",
-       "PG1Submit    0.1137   \n",
-       "PG2Submit    0.1073   \n",
-       "PG3Submit    0.1642   \n",
-       "PG4Dtr0_6   -0.0272   \n",
-       "PG4Psv7_8   -0.0217   \n",
-       "PG4Prm9_10   0.0169   \n",
-       "PG4AllResp  -0.0668   \n",
-       "PG4Submit    0.2360   \n",
-       "PG5_1Order   0.0238   \n",
-       "PG5_2Order   0.0469   \n",
-       "PG5_3Order   0.0538   \n",
-       "PG5_4Order  -0.0211   \n",
-       "PG5_5Order   0.0085   \n",
-       "PG5_6Order   0.0539   \n",
-       "PG5_7Order  -0.0617   \n",
-       "PG5_8Order  -0.0182   \n",
-       "PG5_9Order  -0.0280   \n",
-       "PG5_10Order -0.0092   \n",
-       "PG5_11Order  0.0275   \n",
-       "PG5_12Order  0.0167   \n",
-       "PG5_13Order -0.0614   \n",
-       "PG5Submit    0.2588   \n",
-       "PG6Submit    0.2904   \n",
-       "PG7Submit    0.2523   \n",
-       "PG8Submit    0.1932   \n",
-       "PG9Submit    0.2755   \n",
-       "PG10Submit   0.3131   \n",
-       "PG11Submit   0.2513   \n",
-       "PG12Submit   1.0000   "
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "#get numeric fields only for correlation\n",
-    "sel = c()\n",
-    "for (i in 1:dim(data)[2]) if (is.numeric(data[,i])) sel = c(sel, i);\n",
-    "\n",
-    "\n",
-    "cor(data[,sel],method=\"spearman\",use=\"pairwise.complete.obs\"); #OK for any: uses ranks"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Interpret correlations: onlys start vs End, calculate differene instead\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {
-    "collapsed": true
-   },
-   "source": [
-    "### Simple questions\n",
-    "\n",
-    "- Time to take entire survey?\n",
-    "- Question that took the longest to complete?\n",
-    "- Question that took the least time?\n",
-    "- Top-ranked criteria?\n",
-    "- Demographic distribution by age?"
-   ]
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "R",
-   "language": "R",
-   "name": "ir"
-  },
-  "language_info": {
-   "codemirror_mode": "r",
-   "file_extension": ".r",
-   "mimetype": "text/x-r-source",
-   "name": "R",
-   "pygments_lexer": "r",
-   "version": "3.4.1"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 1
-}
+
+
+
+
+
+
+<!DOCTYPE html>
+<html lang="en">
+  <head>
+    <meta charset="utf-8">
+  <link rel="dns-prefetch" href="https://assets-cdn.github.com">
+  <link rel="dns-prefetch" href="https://avatars0.githubusercontent.com">
+  <link rel="dns-prefetch" href="https://avatars1.githubusercontent.com">
+  <link rel="dns-prefetch" href="https://avatars2.githubusercontent.com">
+  <link rel="dns-prefetch" href="https://avatars3.githubusercontent.com">
+  <link rel="dns-prefetch" href="https://github-cloud.s3.amazonaws.com">
+  <link rel="dns-prefetch" href="https://user-images.githubusercontent.com/">
+
+
+
+  <link crossorigin="anonymous" media="all" integrity="sha512-lLo2nlsdl+bHLu6PGvC2j3wfP45RnK4wKQLiPnCDcuXfU38AiD+JCdMywnF3WbJC1jaxe3lAI6AM4uJuMFBLEw==" rel="stylesheet" href="https://assets-cdn.github.com/assets/frameworks-08fc49d3bd2694c870ea23d0906f3610.css" />
+  <link crossorigin="anonymous" media="all" integrity="sha512-y09vkWQRwHShJ+eX0P1pRG6UkOVMj6aA1pim1qfk2dCvGZBCIGW8KtaZq4qEXoKXs7SFFOV6LArzgfEP8k1URA==" rel="stylesheet" href="https://assets-cdn.github.com/assets/github-69450ccb57439ae54c85cfecedfc7480.css" />
+  
+  
+  
+  
+  
+
+  <meta name="viewport" content="width=device-width">
+  
+  <title>Miniproject3/example.ipynb at master · fdac18/Miniproject3</title>
+    <meta name="description" content="Data analysis using R. Contribute to fdac18/Miniproject3 development by creating an account on GitHub.">
+    <link rel="search" type="application/opensearchdescription+xml" href="/opensearch.xml" title="GitHub">
+  <link rel="fluid-icon" href="https://github.com/fluidicon.png" title="GitHub">
+  <meta property="fb:app_id" content="1401488693436528">
+
+    
+    <meta property="og:image" content="https://avatars3.githubusercontent.com/u/41223185?s=400&amp;v=4" /><meta property="og:site_name" content="GitHub" /><meta property="og:type" content="object" /><meta property="og:title" content="fdac18/Miniproject3" /><meta property="og:url" content="https://github.com/fdac18/Miniproject3" /><meta property="og:description" content="Data analysis using R. Contribute to fdac18/Miniproject3 development by creating an account on GitHub." />
+
+  <link rel="assets" href="https://assets-cdn.github.com/">
+  <link rel="web-socket" href="wss://live.github.com/_sockets/VjI6MzM3OTk0NDA4OjIwNjA4MDE0MTliNTMxNWZlZDNhOWU3MDBkN2U1MjNlYmU2Y2I2MjJhZjEwNGM2NWU4MjNiMjc4OTA1ZTkyNWU=--6dece1d0c608cf36da3afc7f79b9489f8b83a943">
+  <meta name="pjax-timeout" content="1000">
+  <link rel="sudo-modal" href="/sessions/sudo_modal">
+  <meta name="request-id" content="E71B:4415:155D021:2660AC1:5C0F3C44" data-pjax-transient>
+
+
+  
+
+  <meta name="selected-link" value="repo_source" data-pjax-transient>
+
+      <meta name="google-site-verification" content="KT5gs8h0wvaagLKAVWq8bbeNwnZZK1r1XQysX3xurLU">
+    <meta name="google-site-verification" content="ZzhVyEFwb7w3e0-uOTltm8Jsck2F5StVihD0exw2fsA">
+    <meta name="google-site-verification" content="GXs5KoUUkNCoaAZn7wPN-t01Pywp9M3sEjnt_3_ZWPc">
+
+  <meta name="octolytics-host" content="collector.githubapp.com" /><meta name="octolytics-app-id" content="github" /><meta name="octolytics-event-url" content="https://collector.githubapp.com/github-external/browser_event" /><meta name="octolytics-dimension-request_id" content="E71B:4415:155D021:2660AC1:5C0F3C44" /><meta name="octolytics-dimension-region_edge" content="iad" /><meta name="octolytics-dimension-region_render" content="iad" /><meta name="octolytics-actor-id" content="7770948" /><meta name="octolytics-actor-login" content="dbarry9" /><meta name="octolytics-actor-hash" content="aad39c5c8611600781f90449d9374d701bd5601232d1e944da69dd491798a196" />
+<meta name="analytics-location" content="/&lt;user-name&gt;/&lt;repo-name&gt;/blob/show" data-pjax-transient="true" />
+
+
+
+    <meta name="google-analytics" content="UA-3769691-2">
+
+  <meta class="js-ga-set" name="userId" content="a9db020c6dab7a2de1592fc442c5b4b7" %>
+
+<meta class="js-ga-set" name="dimension1" content="Logged In">
+
+
+
+  
+
+      <meta name="hostname" content="github.com">
+    <meta name="user-login" content="dbarry9">
+
+      <meta name="expected-hostname" content="github.com">
+    <meta name="js-proxy-site-detection-payload" content="NjBjYzYzMGQwNWQzMmRkNjFjODUyMDc0YTRhNDMzYjI2MmUwOTFmMjdkZmE0MDE3MDYyNmFkYzFkMDI4NjJjYXx7InJlbW90ZV9hZGRyZXNzIjoiNzMuMTIwLjUxLjE3NSIsInJlcXVlc3RfaWQiOiJFNzFCOjQ0MTU6MTU1RDAyMToyNjYwQUMxOjVDMEYzQzQ0IiwidGltZXN0YW1wIjoxNTQ0NTAyMzQ3LCJob3N0IjoiZ2l0aHViLmNvbSJ9">
+
+    <meta name="enabled-features" content="DASHBOARD_V2_LAYOUT_OPT_IN,EXPLORE_DISCOVER_REPOSITORIES,UNIVERSE_BANNER,MARKETPLACE_PLAN_RESTRICTION_EDITOR,NOTIFY_ON_BLOCK,TIMELINE_COMMENT_UPDATES,ISSUE_TEMPLATES_PIONEER,RELATED_ISSUES,MARKETPLACE_INSIGHTS_V2">
+
+  <meta name="html-safe-nonce" content="f53a8ec6a0e3a3ea495d56565ad7893838988fe8">
+
+  <meta http-equiv="x-pjax-version" content="b8562cc53c0785c6b84d6a04d9182014">
+  
+
+      <link href="https://github.com/fdac18/Miniproject3/commits/master.atom" rel="alternate" title="Recent Commits to Miniproject3:master" type="application/atom+xml">
+
+  <meta name="go-import" content="github.com/fdac18/Miniproject3 git https://github.com/fdac18/Miniproject3.git">
+
+  <meta name="octolytics-dimension-user_id" content="41223185" /><meta name="octolytics-dimension-user_login" content="fdac18" /><meta name="octolytics-dimension-repository_id" content="154841255" /><meta name="octolytics-dimension-repository_nwo" content="fdac18/Miniproject3" /><meta name="octolytics-dimension-repository_public" content="true" /><meta name="octolytics-dimension-repository_is_fork" content="false" /><meta name="octolytics-dimension-repository_network_root_id" content="154841255" /><meta name="octolytics-dimension-repository_network_root_nwo" content="fdac18/Miniproject3" /><meta name="octolytics-dimension-repository_explore_github_marketplace_ci_cta_shown" content="false" />
+
+
+    <link rel="canonical" href="https://github.com/fdac18/Miniproject3/blob/master/example.ipynb" data-pjax-transient>
+
+
+  <meta name="browser-stats-url" content="https://api.github.com/_private/browser/stats">
+
+  <meta name="browser-errors-url" content="https://api.github.com/_private/browser/errors">
+
+  <link rel="mask-icon" href="https://assets-cdn.github.com/pinned-octocat.svg" color="#000000">
+  <link rel="icon" type="image/x-icon" class="js-site-favicon" href="https://assets-cdn.github.com/favicon.ico">
+
+<meta name="theme-color" content="#1e2327">
+
+
+  <meta name="u2f-support" content="true">
+
+  <link rel="manifest" href="/manifest.json" crossOrigin="use-credentials">
+
+  </head>
+
+  <body class="logged-in env-production page-blob">
+    
+
+  <div class="position-relative js-header-wrapper ">
+    <a href="#start-of-content" tabindex="1" class="p-3 bg-blue text-white show-on-focus js-skip-to-content">Skip to content</a>
+    <div id="js-pjax-loader-bar" class="pjax-loader-bar"><div class="progress"></div></div>
+
+    
+    
+    
+
+
+        
+<header class="Header  f5" role="banner">
+  <div class="d-flex flex-justify-between px-3 ">
+    <div class="d-flex flex-justify-between ">
+      <div class="">
+        <a class="header-logo-invertocat" href="https://github.com/" data-hotkey="g d" aria-label="Homepage" data-ga-click="Header, go to dashboard, icon:logo">
+  <svg height="32" class="octicon octicon-mark-github" viewBox="0 0 16 16" version="1.1" width="32" aria-hidden="true"><path fill-rule="evenodd" d="M8 0C3.58 0 0 3.58 0 8c0 3.54 2.29 6.53 5.47 7.59.4.07.55-.17.55-.38 0-.19-.01-.82-.01-1.49-2.01.37-2.53-.49-2.69-.94-.09-.23-.48-.94-.82-1.13-.28-.15-.68-.52-.01-.53.63-.01 1.08.58 1.23.82.72 1.21 1.87.87 2.33.66.07-.52.28-.87.51-1.07-1.78-.2-3.64-.89-3.64-3.95 0-.87.31-1.59.82-2.15-.08-.2-.36-1.02.08-2.12 0 0 .67-.21 2.2.82.64-.18 1.32-.27 2-.27.68 0 1.36.09 2 .27 1.53-1.04 2.2-.82 2.2-.82.44 1.1.16 1.92.08 2.12.51.56.82 1.27.82 2.15 0 3.07-1.87 3.75-3.65 3.95.29.25.54.73.54 1.48 0 1.07-.01 1.93-.01 2.2 0 .21.15.46.55.38A8.013 8.013 0 0 0 16 8c0-4.42-3.58-8-8-8z"/></svg>
+</a>
+
+      </div>
+
+    </div>
+
+    <div class="HeaderMenu d-flex flex-justify-between flex-auto">
+      <nav class="d-flex" aria-label="Global">
+            <div class="">
+              <div class="header-search scoped-search site-scoped-search js-site-search position-relative js-jump-to"
+  role="combobox"
+  aria-owns="jump-to-results"
+  aria-label="Search or jump to"
+  aria-haspopup="listbox"
+  aria-expanded="false"
+>
+  <div class="position-relative">
+    <!-- '"` --><!-- </textarea></xmp> --></option></form><form class="js-site-search-form" data-scope-type="Repository" data-scope-id="154841255" data-scoped-search-url="/fdac18/Miniproject3/search" data-unscoped-search-url="/search" action="/fdac18/Miniproject3/search" accept-charset="UTF-8" method="get"><input name="utf8" type="hidden" value="&#x2713;" />
+      <label class="form-control header-search-wrapper header-search-wrapper-jump-to position-relative d-flex flex-justify-between flex-items-center js-chromeless-input-container">
+        <input type="text"
+          class="form-control header-search-input jump-to-field js-jump-to-field js-site-search-focus js-site-search-field is-clearable"
+          data-hotkey="s,/"
+          name="q"
+          value=""
+          placeholder="Search or jump to…"
+          data-unscoped-placeholder="Search or jump to…"
+          data-scoped-placeholder="Search or jump to…"
+          autocapitalize="off"
+          aria-autocomplete="list"
+          aria-controls="jump-to-results"
+          aria-label="Search or jump to…"
+          data-jump-to-suggestions-path="/_graphql/GetSuggestedNavigationDestinations#csrf-token=dAFI0Fv5hbG6mfV1VTlXAf3tpd/YyTk2ESD6B+dwJlRZro3iFv6MGjxcpOBRCwWpbrN/x0qbqXunmfpH+1Xehg=="
+          spellcheck="false"
+          autocomplete="off"
+          >
+          <input type="hidden" class="js-site-search-type-field" name="type" >
+            <img src="https://assets-cdn.github.com/images/search-key-slash.svg" alt="" class="mr-2 header-search-key-slash">
+
+            <div class="Box position-absolute overflow-hidden d-none jump-to-suggestions js-jump-to-suggestions-container">
+              
+<ul class="d-none js-jump-to-suggestions-template-container">
+  
+
+<li class="d-flex flex-justify-start flex-items-center p-0 f5 navigation-item js-navigation-item js-jump-to-suggestion" role="option">
+  <a tabindex="-1" class="no-underline d-flex flex-auto flex-items-center jump-to-suggestions-path js-jump-to-suggestion-path js-navigation-open p-2" href="">
+    <div class="jump-to-octicon js-jump-to-octicon flex-shrink-0 mr-2 text-center d-none">
+      <svg height="16" width="16" class="octicon octicon-repo flex-shrink-0 js-jump-to-octicon-repo d-none" title="Repository" aria-label="Repository" viewBox="0 0 12 16" version="1.1" role="img"><path fill-rule="evenodd" d="M4 9H3V8h1v1zm0-3H3v1h1V6zm0-2H3v1h1V4zm0-2H3v1h1V2zm8-1v12c0 .55-.45 1-1 1H6v2l-1.5-1.5L3 16v-2H1c-.55 0-1-.45-1-1V1c0-.55.45-1 1-1h10c.55 0 1 .45 1 1zm-1 10H1v2h2v-1h3v1h5v-2zm0-10H2v9h9V1z"/></svg>
+      <svg height="16" width="16" class="octicon octicon-project flex-shrink-0 js-jump-to-octicon-project d-none" title="Project" aria-label="Project" viewBox="0 0 15 16" version="1.1" role="img"><path fill-rule="evenodd" d="M10 12h3V2h-3v10zm-4-2h3V2H6v8zm-4 4h3V2H2v12zm-1 1h13V1H1v14zM14 0H1a1 1 0 0 0-1 1v14a1 1 0 0 0 1 1h13a1 1 0 0 0 1-1V1a1 1 0 0 0-1-1z"/></svg>
+      <svg height="16" width="16" class="octicon octicon-search flex-shrink-0 js-jump-to-octicon-search d-none" title="Search" aria-label="Search" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M15.7 13.3l-3.81-3.83A5.93 5.93 0 0 0 13 6c0-3.31-2.69-6-6-6S1 2.69 1 6s2.69 6 6 6c1.3 0 2.48-.41 3.47-1.11l3.83 3.81c.19.2.45.3.7.3.25 0 .52-.09.7-.3a.996.996 0 0 0 0-1.41v.01zM7 10.7c-2.59 0-4.7-2.11-4.7-4.7 0-2.59 2.11-4.7 4.7-4.7 2.59 0 4.7 2.11 4.7 4.7 0 2.59-2.11 4.7-4.7 4.7z"/></svg>
+    </div>
+
+    <img class="avatar mr-2 flex-shrink-0 js-jump-to-suggestion-avatar d-none" alt="" aria-label="Team" src="" width="28" height="28">
+
+    <div class="jump-to-suggestion-name js-jump-to-suggestion-name flex-auto overflow-hidden text-left no-wrap css-truncate css-truncate-target">
+    </div>
+
+    <div class="border rounded-1 flex-shrink-0 bg-gray px-1 text-gray-light ml-1 f6 d-none js-jump-to-badge-search">
+      <span class="js-jump-to-badge-search-text-default d-none" aria-label="in this repository">
+        In this repository
+      </span>
+      <span class="js-jump-to-badge-search-text-global d-none" aria-label="in all of GitHub">
+        All GitHub
+      </span>
+      <span aria-hidden="true" class="d-inline-block ml-1 v-align-middle">↵</span>
+    </div>
+
+    <div aria-hidden="true" class="border rounded-1 flex-shrink-0 bg-gray px-1 text-gray-light ml-1 f6 d-none d-on-nav-focus js-jump-to-badge-jump">
+      Jump to
+      <span class="d-inline-block ml-1 v-align-middle">↵</span>
+    </div>
+  </a>
+</li>
+
+</ul>
+
+<ul class="d-none js-jump-to-no-results-template-container">
+  <li class="d-flex flex-justify-center flex-items-center f5 d-none js-jump-to-suggestion p-2">
+    <span class="text-gray">No suggested jump to results</span>
+  </li>
+</ul>
+
+<ul id="jump-to-results" role="listbox" class="p-0 m-0 js-navigation-container jump-to-suggestions-results-container js-jump-to-suggestions-results-container">
+  
+
+<li class="d-flex flex-justify-start flex-items-center p-0 f5 navigation-item js-navigation-item js-jump-to-scoped-search d-none" role="option">
+  <a tabindex="-1" class="no-underline d-flex flex-auto flex-items-center jump-to-suggestions-path js-jump-to-suggestion-path js-navigation-open p-2" href="">
+    <div class="jump-to-octicon js-jump-to-octicon flex-shrink-0 mr-2 text-center d-none">
+      <svg height="16" width="16" class="octicon octicon-repo flex-shrink-0 js-jump-to-octicon-repo d-none" title="Repository" aria-label="Repository" viewBox="0 0 12 16" version="1.1" role="img"><path fill-rule="evenodd" d="M4 9H3V8h1v1zm0-3H3v1h1V6zm0-2H3v1h1V4zm0-2H3v1h1V2zm8-1v12c0 .55-.45 1-1 1H6v2l-1.5-1.5L3 16v-2H1c-.55 0-1-.45-1-1V1c0-.55.45-1 1-1h10c.55 0 1 .45 1 1zm-1 10H1v2h2v-1h3v1h5v-2zm0-10H2v9h9V1z"/></svg>
+      <svg height="16" width="16" class="octicon octicon-project flex-shrink-0 js-jump-to-octicon-project d-none" title="Project" aria-label="Project" viewBox="0 0 15 16" version="1.1" role="img"><path fill-rule="evenodd" d="M10 12h3V2h-3v10zm-4-2h3V2H6v8zm-4 4h3V2H2v12zm-1 1h13V1H1v14zM14 0H1a1 1 0 0 0-1 1v14a1 1 0 0 0 1 1h13a1 1 0 0 0 1-1V1a1 1 0 0 0-1-1z"/></svg>
+      <svg height="16" width="16" class="octicon octicon-search flex-shrink-0 js-jump-to-octicon-search d-none" title="Search" aria-label="Search" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M15.7 13.3l-3.81-3.83A5.93 5.93 0 0 0 13 6c0-3.31-2.69-6-6-6S1 2.69 1 6s2.69 6 6 6c1.3 0 2.48-.41 3.47-1.11l3.83 3.81c.19.2.45.3.7.3.25 0 .52-.09.7-.3a.996.996 0 0 0 0-1.41v.01zM7 10.7c-2.59 0-4.7-2.11-4.7-4.7 0-2.59 2.11-4.7 4.7-4.7 2.59 0 4.7 2.11 4.7 4.7 0 2.59-2.11 4.7-4.7 4.7z"/></svg>
+    </div>
+
+    <img class="avatar mr-2 flex-shrink-0 js-jump-to-suggestion-avatar d-none" alt="" aria-label="Team" src="" width="28" height="28">
+
+    <div class="jump-to-suggestion-name js-jump-to-suggestion-name flex-auto overflow-hidden text-left no-wrap css-truncate css-truncate-target">
+    </div>
+
+    <div class="border rounded-1 flex-shrink-0 bg-gray px-1 text-gray-light ml-1 f6 d-none js-jump-to-badge-search">
+      <span class="js-jump-to-badge-search-text-default d-none" aria-label="in this repository">
+        In this repository
+      </span>
+      <span class="js-jump-to-badge-search-text-global d-none" aria-label="in all of GitHub">
+        All GitHub
+      </span>
+      <span aria-hidden="true" class="d-inline-block ml-1 v-align-middle">↵</span>
+    </div>
+
+    <div aria-hidden="true" class="border rounded-1 flex-shrink-0 bg-gray px-1 text-gray-light ml-1 f6 d-none d-on-nav-focus js-jump-to-badge-jump">
+      Jump to
+      <span class="d-inline-block ml-1 v-align-middle">↵</span>
+    </div>
+  </a>
+</li>
+
+  
+
+<li class="d-flex flex-justify-start flex-items-center p-0 f5 navigation-item js-navigation-item js-jump-to-global-search d-none" role="option">
+  <a tabindex="-1" class="no-underline d-flex flex-auto flex-items-center jump-to-suggestions-path js-jump-to-suggestion-path js-navigation-open p-2" href="">
+    <div class="jump-to-octicon js-jump-to-octicon flex-shrink-0 mr-2 text-center d-none">
+      <svg height="16" width="16" class="octicon octicon-repo flex-shrink-0 js-jump-to-octicon-repo d-none" title="Repository" aria-label="Repository" viewBox="0 0 12 16" version="1.1" role="img"><path fill-rule="evenodd" d="M4 9H3V8h1v1zm0-3H3v1h1V6zm0-2H3v1h1V4zm0-2H3v1h1V2zm8-1v12c0 .55-.45 1-1 1H6v2l-1.5-1.5L3 16v-2H1c-.55 0-1-.45-1-1V1c0-.55.45-1 1-1h10c.55 0 1 .45 1 1zm-1 10H1v2h2v-1h3v1h5v-2zm0-10H2v9h9V1z"/></svg>
+      <svg height="16" width="16" class="octicon octicon-project flex-shrink-0 js-jump-to-octicon-project d-none" title="Project" aria-label="Project" viewBox="0 0 15 16" version="1.1" role="img"><path fill-rule="evenodd" d="M10 12h3V2h-3v10zm-4-2h3V2H6v8zm-4 4h3V2H2v12zm-1 1h13V1H1v14zM14 0H1a1 1 0 0 0-1 1v14a1 1 0 0 0 1 1h13a1 1 0 0 0 1-1V1a1 1 0 0 0-1-1z"/></svg>
+      <svg height="16" width="16" class="octicon octicon-search flex-shrink-0 js-jump-to-octicon-search d-none" title="Search" aria-label="Search" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M15.7 13.3l-3.81-3.83A5.93 5.93 0 0 0 13 6c0-3.31-2.69-6-6-6S1 2.69 1 6s2.69 6 6 6c1.3 0 2.48-.41 3.47-1.11l3.83 3.81c.19.2.45.3.7.3.25 0 .52-.09.7-.3a.996.996 0 0 0 0-1.41v.01zM7 10.7c-2.59 0-4.7-2.11-4.7-4.7 0-2.59 2.11-4.7 4.7-4.7 2.59 0 4.7 2.11 4.7 4.7 0 2.59-2.11 4.7-4.7 4.7z"/></svg>
+    </div>
+
+    <img class="avatar mr-2 flex-shrink-0 js-jump-to-suggestion-avatar d-none" alt="" aria-label="Team" src="" width="28" height="28">
+
+    <div class="jump-to-suggestion-name js-jump-to-suggestion-name flex-auto overflow-hidden text-left no-wrap css-truncate css-truncate-target">
+    </div>
+
+    <div class="border rounded-1 flex-shrink-0 bg-gray px-1 text-gray-light ml-1 f6 d-none js-jump-to-badge-search">
+      <span class="js-jump-to-badge-search-text-default d-none" aria-label="in this repository">
+        In this repository
+      </span>
+      <span class="js-jump-to-badge-search-text-global d-none" aria-label="in all of GitHub">
+        All GitHub
+      </span>
+      <span aria-hidden="true" class="d-inline-block ml-1 v-align-middle">↵</span>
+    </div>
+
+    <div aria-hidden="true" class="border rounded-1 flex-shrink-0 bg-gray px-1 text-gray-light ml-1 f6 d-none d-on-nav-focus js-jump-to-badge-jump">
+      Jump to
+      <span class="d-inline-block ml-1 v-align-middle">↵</span>
+    </div>
+  </a>
+</li>
+
+
+    <li class="d-flex flex-justify-center flex-items-center p-0 f5 js-jump-to-suggestion">
+      <img src="https://assets-cdn.github.com/images/spinners/octocat-spinner-128.gif" alt="Octocat Spinner Icon" class="m-2" width="28">
+    </li>
+</ul>
+
+            </div>
+      </label>
+</form>  </div>
+</div>
+
+            </div>
+
+          <ul class="d-flex pl-2 flex-items-center text-bold list-style-none">
+            <li>
+              <a class="js-selected-navigation-item HeaderNavlink px-2" data-hotkey="g p" data-ga-click="Header, click, Nav menu - item:pulls context:user" aria-label="Pull requests you created" data-selected-links="/pulls /pulls/assigned /pulls/mentioned /pulls" href="/pulls">
+                Pull requests
+</a>            </li>
+            <li>
+              <a class="js-selected-navigation-item HeaderNavlink px-2" data-hotkey="g i" data-ga-click="Header, click, Nav menu - item:issues context:user" aria-label="Issues you created" data-selected-links="/issues /issues/assigned /issues/mentioned /issues" href="/issues">
+                Issues
+</a>            </li>
+              <li class="position-relative">
+                <a class="js-selected-navigation-item HeaderNavlink px-2" data-ga-click="Header, click, Nav menu - item:marketplace context:user" data-octo-click="marketplace_click" data-octo-dimensions="location:nav_bar" data-selected-links=" /marketplace" href="/marketplace">
+                   Marketplace
+</a>                  
+              </li>
+            <li>
+              <a class="js-selected-navigation-item HeaderNavlink px-2" data-ga-click="Header, click, Nav menu - item:explore" data-selected-links="/explore /trending /trending/developers /integrations /integrations/feature/code /integrations/feature/collaborate /integrations/feature/ship showcases showcases_search showcases_landing /explore" href="/explore">
+                Explore
+</a>            </li>
+          </ul>
+      </nav>
+
+      <div class="d-flex">
+        
+<ul class="user-nav d-flex flex-items-center list-style-none" id="user-links">
+  <li class="dropdown">
+    <span class="d-inline-block  px-2">
+      
+    <a aria-label="You have unread notifications" class="notification-indicator tooltipped tooltipped-s  js-socket-channel js-notification-indicator" data-hotkey="g n" data-ga-click="Header, go to notifications, icon:unread" data-channel="notification-changed:7770948" href="/notifications">
+        <span class="mail-status unread"></span>
+        <svg class="octicon octicon-bell" viewBox="0 0 14 16" version="1.1" width="14" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M14 12v1H0v-1l.73-.58c.77-.77.81-2.55 1.19-4.42C2.69 3.23 6 2 6 2c0-.55.45-1 1-1s1 .45 1 1c0 0 3.39 1.23 4.16 5 .38 1.88.42 3.66 1.19 4.42l.66.58H14zm-7 4c1.11 0 2-.89 2-2H5c0 1.11.89 2 2 2z"/></svg>
+</a>
+    </span>
+  </li>
+
+  <li class="dropdown">
+    <details class="details-overlay details-reset d-flex px-2 flex-items-center">
+      <summary class="HeaderNavlink"
+         aria-label="Create new…"
+         data-ga-click="Header, create new, icon:add">
+        <svg class="octicon octicon-plus float-left mr-1 mt-1" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M12 9H7v5H5V9H0V7h5V2h2v5h5v2z"/></svg>
+        <span class="dropdown-caret mt-1"></span>
+      </summary>
+      <details-menu class="dropdown-menu dropdown-menu-sw">
+        
+<a role="menuitem" class="dropdown-item" href="/new" data-ga-click="Header, create new repository">
+  New repository
+</a>
+
+  <a role="menuitem" class="dropdown-item" href="/new/import" data-ga-click="Header, import a repository">
+    Import repository
+  </a>
+
+<a role="menuitem" class="dropdown-item" href="https://gist.github.com/" data-ga-click="Header, create new gist">
+  New gist
+</a>
+
+  <a role="menuitem" class="dropdown-item" href="/organizations/new" data-ga-click="Header, create new organization">
+    New organization
+  </a>
+
+
+  <div class="dropdown-divider"></div>
+  <div class="dropdown-header">
+    <span title="fdac18/Miniproject3">This repository</span>
+  </div>
+    <a role="menuitem" class="dropdown-item" href="/fdac18/Miniproject3/issues/new" data-ga-click="Header, create new issue">
+      New issue
+    </a>
+
+
+      </details-menu>
+    </details>
+  </li>
+
+  <li class="dropdown">
+
+    <details class="details-overlay details-reset d-flex pl-2 flex-items-center">
+      <summary class="HeaderNavlink name mt-1"
+        aria-label="View profile and more"
+        data-ga-click="Header, show menu, icon:avatar">
+        <img alt="@dbarry9" class="avatar float-left mr-1" src="https://avatars0.githubusercontent.com/u/7770948?s=40&amp;v=4" height="20" width="20">
+        <span class="dropdown-caret"></span>
+      </summary>
+      <details-menu class="dropdown-menu dropdown-menu-sw">
+        <ul>
+          <li class="header-nav-current-user css-truncate"><a role="menuitem" class="no-underline user-profile-link px-3 pt-2 pb-2 mb-n2 mt-n1 d-block" href="/dbarry9" data-ga-click="Header, go to profile, text:Signed in as">Signed in as <strong class="css-truncate-target">dbarry9</strong></a></li>
+          <li class="dropdown-divider"></li>
+
+
+          <li><a role="menuitem" class="dropdown-item" href="/dbarry9" data-ga-click="Header, go to profile, text:your profile">Your profile</a></li>
+          <li><a role="menuitem" class="dropdown-item" href="/dbarry9?tab=repositories" data-ga-click="Header, go to repositories, text:your repositories">Your repositories</a></li>
+
+
+          <li><a role="menuitem" class="dropdown-item" href="/dbarry9?tab=stars" data-ga-click="Header, go to starred repos, text:your stars">Your stars</a></li>
+            <li><a role="menuitem" class="dropdown-item" href="https://gist.github.com/" data-ga-click="Header, your gists, text:your gists">Your gists</a></li>
+          <li class="dropdown-divider"></li>
+          <li><a role="menuitem" class="dropdown-item" href="https://help.github.com" data-ga-click="Header, go to help, text:help">Help</a></li>
+          <li><a role="menuitem" class="dropdown-item" href="/settings/profile" data-ga-click="Header, go to settings, icon:settings">Settings</a></li>
+          <li>
+            <!-- '"` --><!-- </textarea></xmp> --></option></form><form class="logout-form" action="/logout" accept-charset="UTF-8" method="post"><input name="utf8" type="hidden" value="&#x2713;" /><input type="hidden" name="authenticity_token" value="9HOijV+AJlf1R5qMNQaHXRLQvzF1Si0zGZ9YR6QBsEM7XdKo/NHWydB1h2UJ8qJ8jB+FoV1EweIYlbS/D//3dA==" />
+              <button type="submit" class="dropdown-item dropdown-signout" data-ga-click="Header, sign out, icon:logout" role="menuitem">
+                Sign out
+              </button>
+</form>          </li>
+        </ul>
+      </details-menu>
+    </details>
+  </li>
+</ul>
+
+
+
+        <!-- '"` --><!-- </textarea></xmp> --></option></form><form class="sr-only right-0" action="/logout" accept-charset="UTF-8" method="post"><input name="utf8" type="hidden" value="&#x2713;" /><input type="hidden" name="authenticity_token" value="tZrbyFg6loa07z0qCYpkVhp+Vti/YXb3lV7YwLfGEYB6tKvt+2tmGJHdIMM1fkF3hLFsSJdvmiaUVDQ4HDhWtw==" />
+          <button type="submit" class="dropdown-item dropdown-signout" data-ga-click="Header, sign out, icon:logout">
+            Sign out
+          </button>
+</form>      </div>
+    </div>
+  </div>
+</header>
+
+      
+
+  </div>
+
+  <div id="start-of-content" class="show-on-focus"></div>
+
+    <div id="js-flash-container">
+
+</div>
+
+
+
+  <div role="main" class="application-main " data-commit-hovercards-enabled>
+        <div itemscope itemtype="http://schema.org/SoftwareSourceCode" class="">
+    <div id="js-repo-pjax-container" data-pjax-container >
+      
+
+
+  
+
+
+  
+
+
+
+  <div class="pagehead repohead instapaper_ignore readability-menu experiment-repo-nav  ">
+    <div class="repohead-details-container clearfix container">
+
+      <ul class="pagehead-actions">
+  <li>
+        <!-- '"` --><!-- </textarea></xmp> --></option></form><form data-remote="true" class="js-social-form js-social-container" action="/notifications/subscribe" accept-charset="UTF-8" method="post"><input name="utf8" type="hidden" value="&#x2713;" /><input type="hidden" name="authenticity_token" value="/uywTF0PMQ5zeiKnZ3MLWJSJX9hSlHGV4tsArkEZ/PaajMcv6owv+ev74NTuW/XgJbFwrJB8dkS3PT+fRdNLlg==" />      <input type="hidden" name="repository_id" id="repository_id" value="154841255" class="form-control" />
+
+      <details class="details-reset details-overlay select-menu float-left">
+        <summary class="btn btn-sm btn-with-count select-menu-button" data-ga-click="Repository, click Watch settings, action:blob#show">
+          <span data-menu-button>
+              <svg class="octicon octicon-eye v-align-text-bottom" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M8.06 2C3 2 0 8 0 8s3 6 8.06 6C13 14 16 8 16 8s-3-6-7.94-6zM8 12c-2.2 0-4-1.78-4-4 0-2.2 1.8-4 4-4 2.22 0 4 1.8 4 4 0 2.22-1.78 4-4 4zm2-4c0 1.11-.89 2-2 2-1.11 0-2-.89-2-2 0-1.11.89-2 2-2 1.11 0 2 .89 2 2z"/></svg>
+              Watch
+          </span>
+        </summary>
+        <details-menu class="select-menu-modal position-absolute mt-5" style="z-index: 99;">
+          <div class="select-menu-header">
+            <span class="select-menu-title">Notifications</span>
+          </div>
+          <div class="select-menu-list">
+            <button type="submit" name="do" value="included" class="select-menu-item width-full" aria-checked="true" role="menuitemradio">
+              <svg class="octicon octicon-check select-menu-item-icon" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M12 5l-8 8-4-4 1.5-1.5L4 10l6.5-6.5L12 5z"/></svg>
+              <div class="select-menu-item-text">
+                <span class="select-menu-item-heading">Not watching</span>
+                <span class="description">Be notified only when participating or @mentioned.</span>
+                <span class="hidden-select-button-text" data-menu-button-contents>
+                  <svg class="octicon octicon-eye v-align-text-bottom" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M8.06 2C3 2 0 8 0 8s3 6 8.06 6C13 14 16 8 16 8s-3-6-7.94-6zM8 12c-2.2 0-4-1.78-4-4 0-2.2 1.8-4 4-4 2.22 0 4 1.8 4 4 0 2.22-1.78 4-4 4zm2-4c0 1.11-.89 2-2 2-1.11 0-2-.89-2-2 0-1.11.89-2 2-2 1.11 0 2 .89 2 2z"/></svg>
+                  Watch
+                </span>
+              </div>
+            </button>
+
+              <button type="submit" name="do" value="release_only" class="select-menu-item width-full" aria-checked="false" role="menuitemradio">
+                <svg class="octicon octicon-check select-menu-item-icon" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M12 5l-8 8-4-4 1.5-1.5L4 10l6.5-6.5L12 5z"/></svg>
+                <div class="select-menu-item-text">
+                  <span class="select-menu-item-heading">Releases only</span>
+                  <span class="description">Be notified of new releases, and when participating or @mentioned.</span>
+                  <span class="hidden-select-button-text" data-menu-button-contents>
+                    <svg class="octicon octicon-eye v-align-text-bottom" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M8.06 2C3 2 0 8 0 8s3 6 8.06 6C13 14 16 8 16 8s-3-6-7.94-6zM8 12c-2.2 0-4-1.78-4-4 0-2.2 1.8-4 4-4 2.22 0 4 1.8 4 4 0 2.22-1.78 4-4 4zm2-4c0 1.11-.89 2-2 2-1.11 0-2-.89-2-2 0-1.11.89-2 2-2 1.11 0 2 .89 2 2z"/></svg>
+                    Unwatch releases
+                  </span>
+                </div>
+              </button>
+
+            <button type="submit" name="do" value="subscribed" class="select-menu-item width-full" aria-checked="false" role="menuitemradio">
+              <svg class="octicon octicon-check select-menu-item-icon" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M12 5l-8 8-4-4 1.5-1.5L4 10l6.5-6.5L12 5z"/></svg>
+              <div class="select-menu-item-text">
+                <span class="select-menu-item-heading">Watching</span>
+                <span class="description">Be notified of all conversations.</span>
+                <span class="hidden-select-button-text" data-menu-button-contents>
+                  <svg class="octicon octicon-eye v-align-text-bottom" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M8.06 2C3 2 0 8 0 8s3 6 8.06 6C13 14 16 8 16 8s-3-6-7.94-6zM8 12c-2.2 0-4-1.78-4-4 0-2.2 1.8-4 4-4 2.22 0 4 1.8 4 4 0 2.22-1.78 4-4 4zm2-4c0 1.11-.89 2-2 2-1.11 0-2-.89-2-2 0-1.11.89-2 2-2 1.11 0 2 .89 2 2z"/></svg>
+                  Unwatch
+                </span>
+              </div>
+            </button>
+
+            <button type="submit" name="do" value="ignore" class="select-menu-item width-full" aria-checked="false" role="menuitemradio">
+              <svg class="octicon octicon-check select-menu-item-icon" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M12 5l-8 8-4-4 1.5-1.5L4 10l6.5-6.5L12 5z"/></svg>
+              <div class="select-menu-item-text">
+                <span class="select-menu-item-heading">Ignoring</span>
+                <span class="description">Never be notified.</span>
+                <span class="hidden-select-button-text" data-menu-button-contents>
+                  <svg class="octicon octicon-mute v-align-text-bottom" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M8 2.81v10.38c0 .67-.81 1-1.28.53L3 10H1c-.55 0-1-.45-1-1V7c0-.55.45-1 1-1h2l3.72-3.72C7.19 1.81 8 2.14 8 2.81zm7.53 3.22l-1.06-1.06-1.97 1.97-1.97-1.97-1.06 1.06L11.44 8 9.47 9.97l1.06 1.06 1.97-1.97 1.97 1.97 1.06-1.06L13.56 8l1.97-1.97z"/></svg>
+                  Stop ignoring
+                </span>
+              </div>
+            </button>
+          </div>
+        </details-menu>
+      </details>
+      <a class="social-count js-social-count"
+        href="/fdac18/Miniproject3/watchers"
+        aria-label="4 users are watching this repository">
+        4
+      </a>
+</form>
+  </li>
+
+  <li>
+    
+  <div class="js-toggler-container js-social-container starring-container ">
+    <!-- '"` --><!-- </textarea></xmp> --></option></form><form class="starred js-social-form" action="/fdac18/Miniproject3/unstar" accept-charset="UTF-8" method="post"><input name="utf8" type="hidden" value="&#x2713;" /><input type="hidden" name="authenticity_token" value="Pmvh3fR0Y4DRRDJfM2/ixqWg4TgwcY0EWC8kLLmp3Gq1NzlVXi/C2TAopsIMrPa7Mr69XtBq9e1hQe8yBo6qQQ==" />
+      <input type="hidden" name="context" value="repository"></input>
+      <button
+        type="submit"
+        class="btn btn-sm btn-with-count js-toggler-target"
+        aria-label="Unstar this repository" title="Unstar fdac18/Miniproject3"
+        data-ga-click="Repository, click unstar button, action:blob#show; text:Unstar">
+        <svg class="octicon octicon-star v-align-text-bottom" viewBox="0 0 14 16" version="1.1" width="14" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M14 6l-4.9-.64L7 1 4.9 5.36 0 6l3.6 3.26L2.67 14 7 11.67 11.33 14l-.93-4.74L14 6z"/></svg>
+        Unstar
+      </button>
+        <a class="social-count js-social-count" href="/fdac18/Miniproject3/stargazers"
+           aria-label="0 users starred this repository">
+          0
+        </a>
+</form>
+    <!-- '"` --><!-- </textarea></xmp> --></option></form><form class="unstarred js-social-form" action="/fdac18/Miniproject3/star" accept-charset="UTF-8" method="post"><input name="utf8" type="hidden" value="&#x2713;" /><input type="hidden" name="authenticity_token" value="mtHPGGfv5QF1bJVZP3RvURBn7xDzujrUgmS8B7BW03Fit/cP5MZzwXNFMwa9aG3B1mWo7rNCNSpZoT2S0VPurw==" />
+      <input type="hidden" name="context" value="repository"></input>
+      <button
+        type="submit"
+        class="btn btn-sm btn-with-count js-toggler-target"
+        aria-label="Star this repository" title="Star fdac18/Miniproject3"
+        data-ga-click="Repository, click star button, action:blob#show; text:Star">
+        <svg class="octicon octicon-star v-align-text-bottom" viewBox="0 0 14 16" version="1.1" width="14" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M14 6l-4.9-.64L7 1 4.9 5.36 0 6l3.6 3.26L2.67 14 7 11.67 11.33 14l-.93-4.74L14 6z"/></svg>
+        Star
+      </button>
+        <a class="social-count js-social-count" href="/fdac18/Miniproject3/stargazers"
+           aria-label="0 users starred this repository">
+          0
+        </a>
+</form>  </div>
+
+  </li>
+
+  <li>
+          <details class="details-reset details-overlay details-overlay-dark d-inline-block float-left"
+            data-deferred-details-content-url="/fdac18/Miniproject3/fork?fragment=1">
+            <summary class="btn btn-sm btn-with-count"
+              title="Fork your own copy of fdac18/Miniproject3 to your account"
+              data-ga-click="Repository, show fork modal, action:blob#show; text:Fork">
+              <svg class="octicon octicon-repo-forked v-align-text-bottom" viewBox="0 0 10 16" version="1.1" width="10" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M8 1a1.993 1.993 0 0 0-1 3.72V6L5 8 3 6V4.72A1.993 1.993 0 0 0 2 1a1.993 1.993 0 0 0-1 3.72V6.5l3 3v1.78A1.993 1.993 0 0 0 5 15a1.993 1.993 0 0 0 1-3.72V9.5l3-3V4.72A1.993 1.993 0 0 0 8 1zM2 4.2C1.34 4.2.8 3.65.8 3c0-.65.55-1.2 1.2-1.2.65 0 1.2.55 1.2 1.2 0 .65-.55 1.2-1.2 1.2zm3 10c-.66 0-1.2-.55-1.2-1.2 0-.65.55-1.2 1.2-1.2.65 0 1.2.55 1.2 1.2 0 .65-.55 1.2-1.2 1.2zm3-10c-.66 0-1.2-.55-1.2-1.2 0-.65.55-1.2 1.2-1.2.65 0 1.2.55 1.2 1.2 0 .65-.55 1.2-1.2 1.2z"/></svg>
+              Fork
+            </summary>
+            <details-dialog class="anim-fade-in fast Box Box--overlay d-flex flex-column">
+              <div class="Box-header">
+                <button class="Box-btn-octicon btn-octicon float-right" type="button" aria-label="Close dialog" data-close-dialog>
+                  <svg class="octicon octicon-x" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M7.48 8l3.75 3.75-1.48 1.48L6 9.48l-3.75 3.75-1.48-1.48L4.52 8 .77 4.25l1.48-1.48L6 6.52l3.75-3.75 1.48 1.48L7.48 8z"/></svg>
+                </button>
+                <h3 class="Box-title">Fork Miniproject3</h3>
+              </div>
+              <div class="overflow-auto text-center">
+                <include-fragment>
+                  <div class="octocat-spinner my-3" aria-label="Loading..."></div>
+                  <p class="f5 text-gray">If this dialog fails to load, you can visit <a href="/fdac18/Miniproject3/fork">the fork page</a> directly.</p>
+                </include-fragment>
+              </div>
+            </details-dialog>
+          </details>
+
+    <a href="/fdac18/Miniproject3/network/members" class="social-count"
+       aria-label="33 users forked this repository">
+      33
+    </a>
+  </li>
+</ul>
+
+      <h1 class="public ">
+  <svg class="octicon octicon-repo" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M4 9H3V8h1v1zm0-3H3v1h1V6zm0-2H3v1h1V4zm0-2H3v1h1V2zm8-1v12c0 .55-.45 1-1 1H6v2l-1.5-1.5L3 16v-2H1c-.55 0-1-.45-1-1V1c0-.55.45-1 1-1h10c.55 0 1 .45 1 1zm-1 10H1v2h2v-1h3v1h5v-2zm0-10H2v9h9V1z"/></svg>
+  <span class="author" itemprop="author"><a class="url fn" rel="author" data-hovercard-type="organization" data-hovercard-url="/orgs/fdac18/hovercard" href="/fdac18">fdac18</a></span><!--
+--><span class="path-divider">/</span><!--
+--><strong itemprop="name"><a data-pjax="#js-repo-pjax-container" href="/fdac18/Miniproject3">Miniproject3</a></strong>
+
+</h1>
+
+    </div>
+    
+<nav class="reponav js-repo-nav js-sidenav-container-pjax container"
+     itemscope
+     itemtype="http://schema.org/BreadcrumbList"
+    aria-label="Repository"
+     data-pjax="#js-repo-pjax-container">
+
+  <span itemscope itemtype="http://schema.org/ListItem" itemprop="itemListElement">
+    <a class="js-selected-navigation-item selected reponav-item" itemprop="url" data-hotkey="g c" aria-current="page" data-selected-links="repo_source repo_downloads repo_commits repo_releases repo_tags repo_branches repo_packages /fdac18/Miniproject3" href="/fdac18/Miniproject3">
+      <svg class="octicon octicon-code" viewBox="0 0 14 16" version="1.1" width="14" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M9.5 3L8 4.5 11.5 8 8 11.5 9.5 13 14 8 9.5 3zm-5 0L0 8l4.5 5L6 11.5 2.5 8 6 4.5 4.5 3z"/></svg>
+      <span itemprop="name">Code</span>
+      <meta itemprop="position" content="1">
+</a>  </span>
+
+    <span itemscope itemtype="http://schema.org/ListItem" itemprop="itemListElement">
+      <a itemprop="url" data-hotkey="g i" class="js-selected-navigation-item reponav-item" data-selected-links="repo_issues repo_labels repo_milestones /fdac18/Miniproject3/issues" href="/fdac18/Miniproject3/issues">
+        <svg class="octicon octicon-issue-opened" viewBox="0 0 14 16" version="1.1" width="14" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"/></svg>
+        <span itemprop="name">Issues</span>
+        <span class="Counter">0</span>
+        <meta itemprop="position" content="2">
+</a>    </span>
+
+  <span itemscope itemtype="http://schema.org/ListItem" itemprop="itemListElement">
+    <a data-hotkey="g p" itemprop="url" class="js-selected-navigation-item reponav-item" data-selected-links="repo_pulls checks /fdac18/Miniproject3/pulls" href="/fdac18/Miniproject3/pulls">
+      <svg class="octicon octicon-git-pull-request" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M11 11.28V5c-.03-.78-.34-1.47-.94-2.06C9.46 2.35 8.78 2.03 8 2H7V0L4 3l3 3V4h1c.27.02.48.11.69.31.21.2.3.42.31.69v6.28A1.993 1.993 0 0 0 10 15a1.993 1.993 0 0 0 1-3.72zm-1 2.92c-.66 0-1.2-.55-1.2-1.2 0-.65.55-1.2 1.2-1.2.65 0 1.2.55 1.2 1.2 0 .65-.55 1.2-1.2 1.2zM4 3c0-1.11-.89-2-2-2a1.993 1.993 0 0 0-1 3.72v6.56A1.993 1.993 0 0 0 2 15a1.993 1.993 0 0 0 1-3.72V4.72c.59-.34 1-.98 1-1.72zm-.8 10c0 .66-.55 1.2-1.2 1.2-.65 0-1.2-.55-1.2-1.2 0-.65.55-1.2 1.2-1.2.65 0 1.2.55 1.2 1.2zM2 4.2C1.34 4.2.8 3.65.8 3c0-.65.55-1.2 1.2-1.2.65 0 1.2.55 1.2 1.2 0 .65-.55 1.2-1.2 1.2z"/></svg>
+      <span itemprop="name">Pull requests</span>
+      <span class="Counter">25</span>
+      <meta itemprop="position" content="3">
+</a>  </span>
+
+
+    <a data-hotkey="g b" class="js-selected-navigation-item reponav-item" data-selected-links="repo_projects new_repo_project repo_project /fdac18/Miniproject3/projects" href="/fdac18/Miniproject3/projects">
+      <svg class="octicon octicon-project" viewBox="0 0 15 16" version="1.1" width="15" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M10 12h3V2h-3v10zm-4-2h3V2H6v8zm-4 4h3V2H2v12zm-1 1h13V1H1v14zM14 0H1a1 1 0 0 0-1 1v14a1 1 0 0 0 1 1h13a1 1 0 0 0 1-1V1a1 1 0 0 0-1-1z"/></svg>
+      Projects
+      <span class="Counter" >0</span>
+</a>
+
+    <a class="js-selected-navigation-item reponav-item" data-hotkey="g w" data-selected-links="repo_wiki /fdac18/Miniproject3/wiki" href="/fdac18/Miniproject3/wiki">
+      <svg class="octicon octicon-book" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M3 5h4v1H3V5zm0 3h4V7H3v1zm0 2h4V9H3v1zm11-5h-4v1h4V5zm0 2h-4v1h4V7zm0 2h-4v1h4V9zm2-6v9c0 .55-.45 1-1 1H9.5l-1 1-1-1H2c-.55 0-1-.45-1-1V3c0-.55.45-1 1-1h5.5l1 1 1-1H15c.55 0 1 .45 1 1zm-8 .5L7.5 3H2v9h6V3.5zm7-.5H9.5l-.5.5V12h6V3z"/></svg>
+      Wiki
+</a>
+    <a class="js-selected-navigation-item reponav-item" data-selected-links="repo_graphs repo_contributors dependency_graph pulse alerts security /fdac18/Miniproject3/pulse" href="/fdac18/Miniproject3/pulse">
+      <svg class="octicon octicon-graph" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M16 14v1H0V0h1v14h15zM5 13H3V8h2v5zm4 0H7V3h2v10zm4 0h-2V6h2v7z"/></svg>
+      Insights
+</a>
+
+</nav>
+
+
+  </div>
+
+<div class="container new-discussion-timeline experiment-repo-nav  ">
+  <div class="repository-content ">
+
+    
+    
+
+  
+    <a class="d-none js-permalink-shortcut" data-hotkey="y" href="/fdac18/Miniproject3/blob/7775ca8ed21c3ed2ad2cc272789eecd81641d24f/example.ipynb">Permalink</a>
+
+    <!-- blob contrib key: blob_contributors:v21:2d43ad80848987fc6073d7f626aaa5df -->
+
+    
+
+    <div class="file-navigation">
+      
+<div class="select-menu branch-select-menu js-menu-container js-select-menu float-left">
+  <button class=" btn btn-sm select-menu-button js-menu-target css-truncate" data-hotkey="w"
+    
+    type="button" aria-label="Switch branches or tags" aria-expanded="false" aria-haspopup="true">
+      <i>Branch:</i>
+      <span class="js-select-button css-truncate-target">master</span>
+  </button>
+
+  <div class="select-menu-modal-holder js-menu-content js-navigation-container" data-pjax>
+
+    <div class="select-menu-modal">
+      <div class="select-menu-header">
+        <svg class="octicon octicon-x js-menu-close" role="img" aria-label="Close" viewBox="0 0 12 16" version="1.1" width="12" height="16"><path fill-rule="evenodd" d="M7.48 8l3.75 3.75-1.48 1.48L6 9.48l-3.75 3.75-1.48-1.48L4.52 8 .77 4.25l1.48-1.48L6 6.52l3.75-3.75 1.48 1.48L7.48 8z"/></svg>
+        <span class="select-menu-title">Switch branches/tags</span>
+      </div>
+
+      <tab-container>
+      <div class="select-menu-filters">
+        <div class="select-menu-text-filter">
+          <input type="text" aria-label="Filter branches/tags" id="context-commitish-filter-field" class="form-control js-filterable-field js-navigation-enable" placeholder="Filter branches/tags">
+        </div>
+        <div class="select-menu-tabs" role="tablist">
+          <ul>
+            <li class="select-menu-tab">
+              <button type="button" class="select-menu-tab-nav" data-filter-placeholder="Filter branches/tags" role="tab" aria-selected="true">Branches</button>
+            </li>
+            <li class="select-menu-tab">
+              <button type="button" class="select-menu-tab-nav" data-filter-placeholder="Find a tag…" role="tab">Tags</button>
+            </li>
+          </ul>
+        </div>
+      </div>
+
+      <div class="select-menu-list" role="tabpanel">
+        <div data-filterable-for="context-commitish-filter-field" data-filterable-type="substring">
+
+
+            <a class="select-menu-item js-navigation-item js-navigation-open selected"
+               href="/fdac18/Miniproject3/blob/master/example.ipynb"
+               data-name="master"
+               data-skip-pjax="true"
+               rel="nofollow">
+              <svg class="octicon octicon-check select-menu-item-icon" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M12 5l-8 8-4-4 1.5-1.5L4 10l6.5-6.5L12 5z"/></svg>
+              <span class="select-menu-item-text css-truncate-target js-select-menu-filter-text">
+                master
+              </span>
+            </a>
+        </div>
+
+          <div class="select-menu-no-results">Nothing to show</div>
+      </div>
+
+      <div class="select-menu-list" role="tabpanel" hidden>
+        <div data-filterable-for="context-commitish-filter-field" data-filterable-type="substring">
+
+
+        </div>
+
+        <div class="select-menu-no-results">Nothing to show</div>
+      </div>
+      </tab-container>
+    </div>
+  </div>
+</div>
+
+      <div class="BtnGroup float-right">
+        <a href="/fdac18/Miniproject3/find/master"
+              class="js-pjax-capture-input btn btn-sm BtnGroup-item"
+              data-pjax
+              data-hotkey="t">
+          Find file
+        </a>
+        <clipboard-copy for="blob-path" class="btn btn-sm BtnGroup-item">
+          Copy path
+        </clipboard-copy>
+      </div>
+      <div id="blob-path" class="breadcrumb">
+        <span class="repo-root js-repo-root"><span class="js-path-segment"><a data-pjax="true" href="/fdac18/Miniproject3"><span>Miniproject3</span></a></span></span><span class="separator">/</span><strong class="final-path">example.ipynb</strong>
+      </div>
+    </div>
+
+
+    
+  <div class="commit-tease">
+      <span class="float-right">
+        <a class="commit-tease-sha" href="/fdac18/Miniproject3/commit/eeda19aef7be3865e38a618ae7cb385d101cbdd2" data-pjax>
+          eeda19a
+        </a>
+        <relative-time datetime="2018-10-29T04:15:38Z">Oct 29, 2018</relative-time>
+      </span>
+      <div>
+        <a rel="contributor" data-skip-pjax="true" data-hovercard-type="user" data-hovercard-url="/hovercards?user_id=9866038" data-octo-click="hovercard-link-click" data-octo-dimensions="link_type:self" href="/inthesunset"><img class="avatar" src="https://avatars3.githubusercontent.com/u/9866038?s=40&amp;v=4" width="20" height="20" alt="@inthesunset" /></a>
+        <a class="user-mention" rel="contributor" data-hovercard-type="user" data-hovercard-url="/hovercards?user_id=9866038" data-octo-click="hovercard-link-click" data-octo-dimensions="link_type:self" href="/inthesunset">inthesunset</a>
+          <a data-pjax="true" title="Update example.ipynb" class="message" href="/fdac18/Miniproject3/commit/eeda19aef7be3865e38a618ae7cb385d101cbdd2">Update example.ipynb</a>
+      </div>
+
+    <div class="commit-tease-contributors">
+      
+<details class="details-reset details-overlay details-overlay-dark lh-default text-gray-dark float-left mr-2" id="blob_contributors_box">
+  <summary class="btn-link" aria-haspopup="dialog"  >
+    
+    <span><strong>2</strong> contributors</span>
+  </summary>
+  <details-dialog class="Box Box--overlay d-flex flex-column anim-fade-in fast " aria-label="Users who have contributed to this file">
+    <div class="Box-header">
+      <button class="Box-btn-octicon btn-octicon float-right" type="button" aria-label="Close dialog" data-close-dialog>
+        <svg class="octicon octicon-x" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M7.48 8l3.75 3.75-1.48 1.48L6 9.48l-3.75 3.75-1.48-1.48L4.52 8 .77 4.25l1.48-1.48L6 6.52l3.75-3.75 1.48 1.48L7.48 8z"/></svg>
+      </button>
+      <h3 class="Box-title">Users who have contributed to this file</h3>
+    </div>
+    
+        <ul class="list-style-none overflow-auto">
+            <li class="Box-row">
+              <a class="link-gray-dark no-underline" href="/audrism">
+                <img class="avatar mr-2" alt="" src="https://avatars3.githubusercontent.com/u/7920823?s=40&amp;v=4" width="20" height="20" />
+                audrism
+</a>            </li>
+            <li class="Box-row">
+              <a class="link-gray-dark no-underline" href="/inthesunset">
+                <img class="avatar mr-2" alt="" src="https://avatars3.githubusercontent.com/u/9866038?s=40&amp;v=4" width="20" height="20" />
+                inthesunset
+</a>            </li>
+        </ul>
+
+  </details-dialog>
+</details>
+          <a class="avatar-link" data-hovercard-type="user" data-hovercard-url="/hovercards?user_id=7920823" data-octo-click="hovercard-link-click" data-octo-dimensions="link_type:self" href="/fdac18/Miniproject3/commits/master/example.ipynb?author=audrism">
+      <img class="avatar" src="https://avatars3.githubusercontent.com/u/7920823?s=40&amp;v=4" width="20" height="20" alt="@audrism" /> 
+</a>    <a class="avatar-link" data-hovercard-type="user" data-hovercard-url="/hovercards?user_id=9866038" data-octo-click="hovercard-link-click" data-octo-dimensions="link_type:self" href="/fdac18/Miniproject3/commits/master/example.ipynb?author=inthesunset">
+      <img class="avatar" src="https://avatars3.githubusercontent.com/u/9866038?s=40&amp;v=4" width="20" height="20" alt="@inthesunset" /> 
+</a>
+
+    </div>
+  </div>
+
+
+
+    <div class="file ">
+      <div class="file-header">
+  <div class="file-actions">
+
+      <div class="BtnGroup">
+        <a class="btn btn-sm BtnGroup-item tooltipped tooltipped tooltipped-n source "
+          href="/fdac18/Miniproject3/blob/master/example.ipynb?short_path=310a50d" aria-label="Display the source blob">
+          <svg class="octicon octicon-code" viewBox="0 0 14 16" version="1.1" width="14" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M9.5 3L8 4.5 11.5 8 8 11.5 9.5 13 14 8 9.5 3zm-5 0L0 8l4.5 5L6 11.5 2.5 8 6 4.5 4.5 3z"/></svg>
+        </a>
+        <a class="btn btn-sm BtnGroup-item tooltipped tooltipped-n rendered selected"
+          href="/fdac18/Miniproject3/blob/master/example.ipynb" aria-label="Display the rendered blob">
+          <svg class="octicon octicon-file" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M6 5H2V4h4v1zM2 8h7V7H2v1zm0 2h7V9H2v1zm0 2h7v-1H2v1zm10-7.5V14c0 .55-.45 1-1 1H1c-.55 0-1-.45-1-1V2c0-.55.45-1 1-1h7.5L12 4.5zM11 5L8 2H1v12h10V5z"/></svg>
+        </a>
+      </div>
+
+    <div class="BtnGroup">
+      <a id="raw-url" class="btn btn-sm BtnGroup-item" href="/fdac18/Miniproject3/raw/master/example.ipynb">Raw</a>
+        <a class="btn btn-sm js-update-url-with-hash BtnGroup-item" data-hotkey="b" href="/fdac18/Miniproject3/blame/master/example.ipynb">Blame</a>
+      <a rel="nofollow" class="btn btn-sm BtnGroup-item" href="/fdac18/Miniproject3/commits/master/example.ipynb">History</a>
+    </div>
+
+        <a class="btn-octicon tooltipped tooltipped-nw"
+           href="https://desktop.github.com"
+           aria-label="Open this file in GitHub Desktop"
+           data-ga-click="Repository, open with desktop, type:windows">
+            <svg class="octicon octicon-device-desktop" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M15 2H1c-.55 0-1 .45-1 1v9c0 .55.45 1 1 1h5.34c-.25.61-.86 1.39-2.34 2h8c-1.48-.61-2.09-1.39-2.34-2H15c.55 0 1-.45 1-1V3c0-.55-.45-1-1-1zm0 9H1V3h14v8z"/></svg>
+        </a>
+
+          <!-- '"` --><!-- </textarea></xmp> --></option></form><form class="inline-form js-update-url-with-hash" action="/fdac18/Miniproject3/edit/master/example.ipynb" accept-charset="UTF-8" method="post"><input name="utf8" type="hidden" value="&#x2713;" /><input type="hidden" name="authenticity_token" value="mOVXck+xL+oTI1qF9ePquxmvmYJRbR91s2YPjI1kXxyTQMwNdvuw6EkM0EQUqnjP1VUQ4Rlcjkb4L3RfkwFwzQ==" />
+            <button class="btn-octicon tooltipped tooltipped-nw" type="submit"
+              aria-label="Edit the file in your fork of this project" data-hotkey="e" data-disable-with>
+              <svg class="octicon octicon-pencil" viewBox="0 0 14 16" version="1.1" width="14" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M0 12v3h3l8-8-3-3-8 8zm3 2H1v-2h1v1h1v1zm10.3-9.3L12 6 9 3l1.3-1.3a.996.996 0 0 1 1.41 0l1.59 1.59c.39.39.39 1.02 0 1.41z"/></svg>
+            </button>
+</form>
+        <!-- '"` --><!-- </textarea></xmp> --></option></form><form class="inline-form" action="/fdac18/Miniproject3/delete/master/example.ipynb" accept-charset="UTF-8" method="post"><input name="utf8" type="hidden" value="&#x2713;" /><input type="hidden" name="authenticity_token" value="U4c5LO/loE192MclbulnjEqxZHs2tlFf7OyZrmenPLAvGu3CnAOjia7OeBCFm3xBWU+OjIm6YH3WF6omh8D2Qw==" />
+          <button class="btn-octicon btn-octicon-danger tooltipped tooltipped-nw" type="submit"
+            aria-label="Delete the file in your fork of this project" data-disable-with>
+            <svg class="octicon octicon-trashcan" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M11 2H9c0-.55-.45-1-1-1H5c-.55 0-1 .45-1 1H2c-.55 0-1 .45-1 1v1c0 .55.45 1 1 1v9c0 .55.45 1 1 1h7c.55 0 1-.45 1-1V5c.55 0 1-.45 1-1V3c0-.55-.45-1-1-1zm-1 12H3V5h1v8h1V5h1v8h1V5h1v8h1V5h1v9zm1-10H2V3h9v1z"/></svg>
+          </button>
+</form>  </div>
+
+  <div class="file-info">
+      625 lines (624 sloc)
+      <span class="file-info-divider"></span>
+    62.2 KB
+  </div>
+</div>
+
+      
+
+  <div itemprop="text" class="blob-wrapper data type-jupyter-notebook ">
+      
+  <div class="render-wrapper ">
+    <div class="render-container is-render-pending js-render-target  "
+      data-identity="27ee9a59-a3f6-48fc-b423-1a36f8def620"
+      data-host="https://render.githubusercontent.com"
+      data-type="ipynb">
+      <img class="octospinner mx-auto" alt="" src="https://assets-cdn.github.com/images/spinners/octocat-spinner-128.gif" width="64" height="64" />
+      <div class="render-viewer-error">Sorry, something went wrong. <a href="https://github.com/fdac18/Miniproject3/blob/master/example.ipynb">Reload?</a></div>
+      <div class="render-viewer-fatal">Sorry, we cannot display this file.</div>
+      <div class="render-viewer-invalid">Sorry, this file is invalid so it cannot be displayed.</div>
+      <iframe class="render-viewer " src="https://render.githubusercontent.com/view/ipynb?commit=7775ca8ed21c3ed2ad2cc272789eecd81641d24f&amp;enc_url=68747470733a2f2f7261772e67697468756275736572636f6e74656e742e636f6d2f6664616331382f4d696e6970726f6a656374332f373737356361386564323163336564326164326363323732373839656563643831363431643234662f6578616d706c652e6970796e62&amp;nwo=fdac18%2FMiniproject3&amp;path=example.ipynb&amp;repository_id=154841255&amp;repository_type=Repository#27ee9a59-a3f6-48fc-b423-1a36f8def620" sandbox="allow-scripts allow-same-origin allow-top-navigation " title="File display">
+          Viewer requires iframe.
+      </iframe>
+    </div>
+  </div>
+
+  </div>
+
+    </div>
+
+  
+
+  <details class="details-reset details-overlay details-overlay-dark">
+    <summary data-hotkey="l" aria-label="Jump to line"></summary>
+    <details-dialog class="Box Box--overlay d-flex flex-column anim-fade-in fast linejump" aria-label="Jump to line">
+      <!-- '"` --><!-- </textarea></xmp> --></option></form><form class="js-jump-to-line-form Box-body d-flex" action="" accept-charset="UTF-8" method="get"><input name="utf8" type="hidden" value="&#x2713;" />
+        <input class="form-control flex-auto mr-3 linejump-input js-jump-to-line-field" type="text" placeholder="Jump to line&hellip;" aria-label="Jump to line" autofocus>
+        <button type="submit" class="btn" data-close-dialog>Go</button>
+</form>    </details-dialog>
+  </details>
+
+
+
+  </div>
+  <div class="modal-backdrop js-touch-events"></div>
+</div>
+
+    </div>
+  </div>
+
+  </div>
+
+        
+<div class="footer container-lg px-3" role="contentinfo">
+  <div class="position-relative d-flex flex-justify-between pt-6 pb-2 mt-6 f6 text-gray border-top border-gray-light ">
+    <ul class="list-style-none d-flex flex-wrap ">
+      <li class="mr-3">&copy; 2018 <span title="0.32534s from unicorn-87fcddfd4-8f96s">GitHub</span>, Inc.</li>
+        <li class="mr-3"><a data-ga-click="Footer, go to terms, text:terms" href="https://github.com/site/terms">Terms</a></li>
+        <li class="mr-3"><a data-ga-click="Footer, go to privacy, text:privacy" href="https://github.com/site/privacy">Privacy</a></li>
+        <li class="mr-3"><a href="/security" data-ga-click="Footer, go to security, text:security">Security</a></li>
+        <li class="mr-3"><a href="https://status.github.com/" data-ga-click="Footer, go to status, text:status">Status</a></li>
+        <li><a data-ga-click="Footer, go to help, text:help" href="https://help.github.com">Help</a></li>
+    </ul>
+
+    <a aria-label="Homepage" title="GitHub" class="footer-octicon mr-lg-4" href="https://github.com">
+      <svg height="24" class="octicon octicon-mark-github" viewBox="0 0 16 16" version="1.1" width="24" aria-hidden="true"><path fill-rule="evenodd" d="M8 0C3.58 0 0 3.58 0 8c0 3.54 2.29 6.53 5.47 7.59.4.07.55-.17.55-.38 0-.19-.01-.82-.01-1.49-2.01.37-2.53-.49-2.69-.94-.09-.23-.48-.94-.82-1.13-.28-.15-.68-.52-.01-.53.63-.01 1.08.58 1.23.82.72 1.21 1.87.87 2.33.66.07-.52.28-.87.51-1.07-1.78-.2-3.64-.89-3.64-3.95 0-.87.31-1.59.82-2.15-.08-.2-.36-1.02.08-2.12 0 0 .67-.21 2.2.82.64-.18 1.32-.27 2-.27.68 0 1.36.09 2 .27 1.53-1.04 2.2-.82 2.2-.82.44 1.1.16 1.92.08 2.12.51.56.82 1.27.82 2.15 0 3.07-1.87 3.75-3.65 3.95.29.25.54.73.54 1.48 0 1.07-.01 1.93-.01 2.2 0 .21.15.46.55.38A8.013 8.013 0 0 0 16 8c0-4.42-3.58-8-8-8z"/></svg>
+</a>
+   <ul class="list-style-none d-flex flex-wrap ">
+        <li class="mr-3"><a data-ga-click="Footer, go to contact, text:contact" href="https://github.com/contact">Contact GitHub</a></li>
+        <li class="mr-3"><a href="https://github.com/pricing" data-ga-click="Footer, go to Pricing, text:Pricing">Pricing</a></li>
+      <li class="mr-3"><a href="https://developer.github.com" data-ga-click="Footer, go to api, text:api">API</a></li>
+      <li class="mr-3"><a href="https://training.github.com" data-ga-click="Footer, go to training, text:training">Training</a></li>
+        <li class="mr-3"><a href="https://blog.github.com" data-ga-click="Footer, go to blog, text:blog">Blog</a></li>
+        <li><a data-ga-click="Footer, go to about, text:about" href="https://github.com/about">About</a></li>
+
+    </ul>
+  </div>
+  <div class="d-flex flex-justify-center pb-6">
+    <span class="f6 text-gray-light"></span>
+  </div>
+</div>
+
+
+
+  <div id="ajax-error-message" class="ajax-error-message flash flash-error">
+    <svg class="octicon octicon-alert" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"/></svg>
+    <button type="button" class="flash-close js-ajax-error-dismiss" aria-label="Dismiss error">
+      <svg class="octicon octicon-x" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M7.48 8l3.75 3.75-1.48 1.48L6 9.48l-3.75 3.75-1.48-1.48L4.52 8 .77 4.25l1.48-1.48L6 6.52l3.75-3.75 1.48 1.48L7.48 8z"/></svg>
+    </button>
+    You can’t perform that action at this time.
+  </div>
+
+
+    
+    <script crossorigin="anonymous" integrity="sha512-092+yG9tBLtacCexwGKGjTtkuRfZo0YUa8VrsiKW+Zh/nyA2j7MvftFLeoIor9CGQ9uDFYNIcbFDbbTPw7tV3Q==" type="application/javascript" src="https://assets-cdn.github.com/assets/frameworks-176ef037f2b2ddbb94c6810c7bce4ec9.js"></script>
+    
+    <script crossorigin="anonymous" async="async" integrity="sha512-JWDSt+kKJHQlFLFE6yQF1r53yMQH06sMqPizK7nNxIPcS7AL3jWdiUrZk3woSc5fXQ0TSxKmwS+H8ihw9WFPnQ==" type="application/javascript" src="https://assets-cdn.github.com/assets/github-637ed5f4fb32da7766dd97ce5b108c20.js"></script>
+    
+    
+    
+  <div class="js-stale-session-flash stale-session-flash flash flash-warn flash-banner d-none">
+    <svg class="octicon octicon-alert" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"/></svg>
+    <span class="signed-in-tab-flash">You signed in with another tab or window. <a href="">Reload</a> to refresh your session.</span>
+    <span class="signed-out-tab-flash">You signed out in another tab or window. <a href="">Reload</a> to refresh your session.</span>
+  </div>
+  <div class="facebox" id="facebox" style="display:none;">
+  <div class="facebox-popup">
+    <div class="facebox-content" role="dialog" aria-labelledby="facebox-header" aria-describedby="facebox-description">
+    </div>
+    <button type="button" class="facebox-close js-facebox-close" aria-label="Close modal">
+      <svg class="octicon octicon-x" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M7.48 8l3.75 3.75-1.48 1.48L6 9.48l-3.75 3.75-1.48-1.48L4.52 8 .77 4.25l1.48-1.48L6 6.52l3.75-3.75 1.48 1.48L7.48 8z"/></svg>
+    </button>
+  </div>
+</div>
+
+  <template id="site-details-dialog">
+  <details class="details-reset details-overlay details-overlay-dark lh-default text-gray-dark" open>
+    <summary aria-haspopup="dialog" aria-label="Close dialog"></summary>
+    <details-dialog class="Box Box--overlay d-flex flex-column anim-fade-in fast">
+      <button class="Box-btn-octicon m-0 btn-octicon position-absolute right-0 top-0" type="button" aria-label="Close dialog" data-close-dialog>
+        <svg class="octicon octicon-x" viewBox="0 0 12 16" version="1.1" width="12" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M7.48 8l3.75 3.75-1.48 1.48L6 9.48l-3.75 3.75-1.48-1.48L4.52 8 .77 4.25l1.48-1.48L6 6.52l3.75-3.75 1.48 1.48L7.48 8z"/></svg>
+      </button>
+      <div class="octocat-spinner my-6 js-details-dialog-spinner"></div>
+    </details-dialog>
+  </details>
+</template>
+
+  <div class="Popover js-hovercard-content position-absolute" style="display: none; outline: none;" tabindex="0">
+  <div class="Popover-message Popover-message--bottom-left Popover-message--large Box box-shadow-large" style="width:360px;">
+  </div>
+</div>
+
+<div id="hovercard-aria-description" class="sr-only">
+  Press h to open a hovercard with more details.
+</div>
+
+
+  </body>
+</html>
+