From 77794d1cda4ec10697f116a9a377e574704b9f7c Mon Sep 17 00:00:00 2001
From: Silver-T <tony.silvestre@gmail.com>
Date: Thu, 3 May 2018 11:25:54 +1000
Subject: [PATCH] Still chipping away at week 8

---
 wk7/wk7.ipynb | 755 ++++++++++++++++++++++++++++++++++++++++++++++++--
 wk8/wk8.ipynb | 171 +++++++-----
 2 files changed, 829 insertions(+), 97 deletions(-)

diff --git a/wk7/wk7.ipynb b/wk7/wk7.ipynb
index a7dd198..e381063 100644
--- a/wk7/wk7.ipynb
+++ b/wk7/wk7.ipynb
@@ -9,7 +9,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [
     {
@@ -19,24 +19,13 @@
       "Using matplotlib backend: TkAgg\n",
       "Populating the interactive namespace from numpy and matplotlib\n"
      ]
-    },
-    {
-     "ename": "ImportError",
-     "evalue": "No module named 'seaborn'",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mImportError\u001b[0m                               Traceback (most recent call last)",
-      "\u001b[0;32m<ipython-input-2-ad52641fb291>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'matplotlib inline'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mpandas\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mseaborn\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0msn\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      5\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmatplotlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpyplot\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;31mImportError\u001b[0m: No module named 'seaborn'"
-     ]
     }
    ],
    "source": [
     "%pylab\n",
     "%matplotlib inline\n",
     "import pandas as pd\n",
-    "import seaborn as sn\n",
+    "#import seaborn as sn\n",
     "import numpy as np\n",
     "import matplotlib.pyplot as plt\n",
     "from scipy import stats\n",
@@ -46,19 +35,739 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
-     "ename": "NameError",
-     "evalue": "name 'data' is not defined",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
-      "\u001b[0;32m<ipython-input-1-b834b3dc0d59>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcorr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstyle\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbackground_gradient\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcmap\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'Wistia'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
-      "\u001b[0;31mNameError\u001b[0m: name 'data' is not defined"
-     ]
+     "data": {
+      "text/html": [
+       "\n",
+       "        <style  type=\"text/css\" >\n",
+       "        \n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col0 {\n",
+       "            \n",
+       "                background-color:  #fc7f00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col1 {\n",
+       "            \n",
+       "                background-color:  #ffcc09;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col2 {\n",
+       "            \n",
+       "                background-color:  #e4ff7a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col3 {\n",
+       "            \n",
+       "                background-color:  #e4ff7a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col4 {\n",
+       "            \n",
+       "                background-color:  #ffb300;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col5 {\n",
+       "            \n",
+       "                background-color:  #ebf960;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col6 {\n",
+       "            \n",
+       "                background-color:  #edf75a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col0 {\n",
+       "            \n",
+       "                background-color:  #ffe619;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col1 {\n",
+       "            \n",
+       "                background-color:  #fc7f00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col2 {\n",
+       "            \n",
+       "                background-color:  #ffc606;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col3 {\n",
+       "            \n",
+       "                background-color:  #edf75a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col4 {\n",
+       "            \n",
+       "                background-color:  #e4ff7a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col5 {\n",
+       "            \n",
+       "                background-color:  #ffe417;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col6 {\n",
+       "            \n",
+       "                background-color:  #e8fb6b;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col0 {\n",
+       "            \n",
+       "                background-color:  #e4ff7a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col1 {\n",
+       "            \n",
+       "                background-color:  #ffb600;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col2 {\n",
+       "            \n",
+       "                background-color:  #fc7f00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col3 {\n",
+       "            \n",
+       "                background-color:  #f9ed30;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col4 {\n",
+       "            \n",
+       "                background-color:  #ffc907;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col5 {\n",
+       "            \n",
+       "                background-color:  #ffe317;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col6 {\n",
+       "            \n",
+       "                background-color:  #eafa66;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col0 {\n",
+       "            \n",
+       "                background-color:  #fbeb27;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col1 {\n",
+       "            \n",
+       "                background-color:  #ffc908;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col2 {\n",
+       "            \n",
+       "                background-color:  #ffd40e;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col3 {\n",
+       "            \n",
+       "                background-color:  #fc7f00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col4 {\n",
+       "            \n",
+       "                background-color:  #ffb500;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col5 {\n",
+       "            \n",
+       "                background-color:  #e6fd72;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col6 {\n",
+       "            \n",
+       "                background-color:  #e4ff7a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col0 {\n",
+       "            \n",
+       "                background-color:  #ffc102;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col1 {\n",
+       "            \n",
+       "                background-color:  #e4ff7a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col2 {\n",
+       "            \n",
+       "                background-color:  #ffe216;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col3 {\n",
+       "            \n",
+       "                background-color:  #ffdf15;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col4 {\n",
+       "            \n",
+       "                background-color:  #fc7f00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col5 {\n",
+       "            \n",
+       "                background-color:  #e4ff7a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col6 {\n",
+       "            \n",
+       "                background-color:  #eff654;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col0 {\n",
+       "            \n",
+       "                background-color:  #ffdc13;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col1 {\n",
+       "            \n",
+       "                background-color:  #ffb400;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col2 {\n",
+       "            \n",
+       "                background-color:  #ffc203;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col3 {\n",
+       "            \n",
+       "                background-color:  #edf75a;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col4 {\n",
+       "            \n",
+       "                background-color:  #ffcc09;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col5 {\n",
+       "            \n",
+       "                background-color:  #fc7f00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col6 {\n",
+       "            \n",
+       "                background-color:  #ff9d00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col0 {\n",
+       "            \n",
+       "                background-color:  #ffd20c;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col1 {\n",
+       "            \n",
+       "                background-color:  #ffbf01;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col2 {\n",
+       "            \n",
+       "                background-color:  #ffd50e;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col3 {\n",
+       "            \n",
+       "                background-color:  #f3f245;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col4 {\n",
+       "            \n",
+       "                background-color:  #ffbb00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col5 {\n",
+       "            \n",
+       "                background-color:  #fe9a00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "            #T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col6 {\n",
+       "            \n",
+       "                background-color:  #fc7f00;\n",
+       "            \n",
+       "            }\n",
+       "        \n",
+       "        </style>\n",
+       "\n",
+       "        <table id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01b\" None>\n",
+       "        \n",
+       "\n",
+       "        <thead>\n",
+       "            \n",
+       "            <tr>\n",
+       "                \n",
+       "                \n",
+       "                <th class=\"blank level0\" >\n",
+       "                  \n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <th class=\"col_heading level0 col0\" colspan=1>\n",
+       "                  ranking\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <th class=\"col_heading level0 col1\" colspan=1>\n",
+       "                  age\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <th class=\"col_heading level0 col2\" colspan=1>\n",
+       "                  points\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <th class=\"col_heading level0 col3\" colspan=1>\n",
+       "                  tournplayed\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <th class=\"col_heading level0 col4\" colspan=1>\n",
+       "                  born\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <th class=\"col_heading level0 col5\" colspan=1>\n",
+       "                  weight\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <th class=\"col_heading level0 col6\" colspan=1>\n",
+       "                  height\n",
+       "                \n",
+       "                \n",
+       "            </tr>\n",
+       "            \n",
+       "        </thead>\n",
+       "        <tbody>\n",
+       "            \n",
+       "            <tr>\n",
+       "                \n",
+       "                \n",
+       "                <th id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01b\"\n",
+       "                 class=\"row_heading level0 row0\" rowspan=1>\n",
+       "                    ranking\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col0\"\n",
+       "                 class=\"data row0 col0\" >\n",
+       "                    1\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col1\"\n",
+       "                 class=\"data row0 col1\" >\n",
+       "                    -0.165935\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col2\"\n",
+       "                 class=\"data row0 col2\" >\n",
+       "                    -0.586707\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col3\"\n",
+       "                 class=\"data row0 col3\" >\n",
+       "                    -0.244073\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col4\"\n",
+       "                 class=\"data row0 col4\" >\n",
+       "                    0.17403\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col5\"\n",
+       "                 class=\"data row0 col5\" >\n",
+       "                    -0.0826093\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow0_col6\"\n",
+       "                 class=\"data row0 col6\" >\n",
+       "                    0.0196139\n",
+       "                \n",
+       "                \n",
+       "            </tr>\n",
+       "            \n",
+       "            <tr>\n",
+       "                \n",
+       "                \n",
+       "                <th id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01b\"\n",
+       "                 class=\"row_heading level0 row1\" rowspan=1>\n",
+       "                    age\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col0\"\n",
+       "                 class=\"data row1 col0\" >\n",
+       "                    -0.165935\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col1\"\n",
+       "                 class=\"data row1 col1\" >\n",
+       "                    1\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col2\"\n",
+       "                 class=\"data row1 col2\" >\n",
+       "                    0.121731\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col3\"\n",
+       "                 class=\"data row1 col3\" >\n",
+       "                    -0.140033\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col4\"\n",
+       "                 class=\"data row1 col4\" >\n",
+       "                    -0.994296\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col5\"\n",
+       "                 class=\"data row1 col5\" >\n",
+       "                    0.157223\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow1_col6\"\n",
+       "                 class=\"data row1 col6\" >\n",
+       "                    -0.0282972\n",
+       "                \n",
+       "                \n",
+       "            </tr>\n",
+       "            \n",
+       "            <tr>\n",
+       "                \n",
+       "                \n",
+       "                <th id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01b\"\n",
+       "                 class=\"row_heading level0 row2\" rowspan=1>\n",
+       "                    points\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col0\"\n",
+       "                 class=\"data row2 col0\" >\n",
+       "                    -0.586707\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col1\"\n",
+       "                 class=\"data row2 col1\" >\n",
+       "                    0.121731\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col2\"\n",
+       "                 class=\"data row2 col2\" >\n",
+       "                    1\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col3\"\n",
+       "                 class=\"data row2 col3\" >\n",
+       "                    -0.004905\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col4\"\n",
+       "                 class=\"data row2 col4\" >\n",
+       "                    -0.129971\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col5\"\n",
+       "                 class=\"data row2 col5\" >\n",
+       "                    0.159385\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow2_col6\"\n",
+       "                 class=\"data row2 col6\" >\n",
+       "                    -0.0153843\n",
+       "                \n",
+       "                \n",
+       "            </tr>\n",
+       "            \n",
+       "            <tr>\n",
+       "                \n",
+       "                \n",
+       "                <th id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01b\"\n",
+       "                 class=\"row_heading level0 row3\" rowspan=1>\n",
+       "                    tournplayed\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col0\"\n",
+       "                 class=\"data row3 col0\" >\n",
+       "                    -0.244073\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col1\"\n",
+       "                 class=\"data row3 col1\" >\n",
+       "                    -0.140033\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col2\"\n",
+       "                 class=\"data row3 col2\" >\n",
+       "                    -0.004905\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col3\"\n",
+       "                 class=\"data row3 col3\" >\n",
+       "                    1\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col4\"\n",
+       "                 class=\"data row3 col4\" >\n",
+       "                    0.13293\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col5\"\n",
+       "                 class=\"data row3 col5\" >\n",
+       "                    -0.139194\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow3_col6\"\n",
+       "                 class=\"data row3 col6\" >\n",
+       "                    -0.0712482\n",
+       "                \n",
+       "                \n",
+       "            </tr>\n",
+       "            \n",
+       "            <tr>\n",
+       "                \n",
+       "                \n",
+       "                <th id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01b\"\n",
+       "                 class=\"row_heading level0 row4\" rowspan=1>\n",
+       "                    born\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col0\"\n",
+       "                 class=\"data row4 col0\" >\n",
+       "                    0.17403\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col1\"\n",
+       "                 class=\"data row4 col1\" >\n",
+       "                    -0.994296\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col2\"\n",
+       "                 class=\"data row4 col2\" >\n",
+       "                    -0.129971\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col3\"\n",
+       "                 class=\"data row4 col3\" >\n",
+       "                    0.13293\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col4\"\n",
+       "                 class=\"data row4 col4\" >\n",
+       "                    1\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col5\"\n",
+       "                 class=\"data row4 col5\" >\n",
+       "                    -0.163677\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow4_col6\"\n",
+       "                 class=\"data row4 col6\" >\n",
+       "                    0.0333731\n",
+       "                \n",
+       "                \n",
+       "            </tr>\n",
+       "            \n",
+       "            <tr>\n",
+       "                \n",
+       "                \n",
+       "                <th id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01b\"\n",
+       "                 class=\"row_heading level0 row5\" rowspan=1>\n",
+       "                    weight\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col0\"\n",
+       "                 class=\"data row5 col0\" >\n",
+       "                    -0.0826093\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col1\"\n",
+       "                 class=\"data row5 col1\" >\n",
+       "                    0.157223\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col2\"\n",
+       "                 class=\"data row5 col2\" >\n",
+       "                    0.159385\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col3\"\n",
+       "                 class=\"data row5 col3\" >\n",
+       "                    -0.139194\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col4\"\n",
+       "                 class=\"data row5 col4\" >\n",
+       "                    -0.163677\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col5\"\n",
+       "                 class=\"data row5 col5\" >\n",
+       "                    1\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow5_col6\"\n",
+       "                 class=\"data row5 col6\" >\n",
+       "                    0.757689\n",
+       "                \n",
+       "                \n",
+       "            </tr>\n",
+       "            \n",
+       "            <tr>\n",
+       "                \n",
+       "                \n",
+       "                <th id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01b\"\n",
+       "                 class=\"row_heading level0 row6\" rowspan=1>\n",
+       "                    height\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col0\"\n",
+       "                 class=\"data row6 col0\" >\n",
+       "                    0.0196139\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col1\"\n",
+       "                 class=\"data row6 col1\" >\n",
+       "                    -0.0282972\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col2\"\n",
+       "                 class=\"data row6 col2\" >\n",
+       "                    -0.0153843\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col3\"\n",
+       "                 class=\"data row6 col3\" >\n",
+       "                    -0.0712482\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col4\"\n",
+       "                 class=\"data row6 col4\" >\n",
+       "                    0.0333731\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col5\"\n",
+       "                 class=\"data row6 col5\" >\n",
+       "                    0.757689\n",
+       "                \n",
+       "                \n",
+       "                \n",
+       "                <td id=\"T_1150e3f8_4e66_11e8_aa9a_8086f2cce01brow6_col6\"\n",
+       "                 class=\"data row6 col6\" >\n",
+       "                    1\n",
+       "                \n",
+       "                \n",
+       "            </tr>\n",
+       "            \n",
+       "        </tbody>\n",
+       "        </table>\n",
+       "        "
+      ],
+      "text/plain": [
+       "<pandas.formats.style.Styler at 0x7ffb86e83390>"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
     }
    ],
    "source": [
diff --git a/wk8/wk8.ipynb b/wk8/wk8.ipynb
index d539460..a3325a8 100644
--- a/wk8/wk8.ipynb
+++ b/wk8/wk8.ipynb
@@ -9,7 +9,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [
     {
@@ -46,7 +46,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -67,7 +67,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -77,97 +77,97 @@
        "        <style  type=\"text/css\" >\n",
        "        \n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow0_col0 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow0_col0 {\n",
        "            \n",
        "                background-color:  #fc7f00;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow0_col1 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow0_col1 {\n",
        "            \n",
        "                background-color:  #e4ff7a;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow0_col2 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow0_col2 {\n",
        "            \n",
        "                background-color:  #e4ff7a;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow0_col3 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow0_col3 {\n",
        "            \n",
        "                background-color:  #e4ff7a;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow1_col0 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow1_col0 {\n",
        "            \n",
-       "                background-color:  #f9ed2f;\n",
+       "                background-color:  #ebf960;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow1_col1 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow1_col1 {\n",
        "            \n",
        "                background-color:  #fc7f00;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow1_col2 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow1_col2 {\n",
        "            \n",
-       "                background-color:  #fc8000;\n",
+       "                background-color:  #fe9900;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow1_col3 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow1_col3 {\n",
        "            \n",
-       "                background-color:  #fd8c00;\n",
+       "                background-color:  #ffba00;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow2_col0 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow2_col0 {\n",
        "            \n",
-       "                background-color:  #f9ed2f;\n",
+       "                background-color:  #f0f54e;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow2_col1 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow2_col1 {\n",
        "            \n",
-       "                background-color:  #fc8000;\n",
+       "                background-color:  #fe9800;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow2_col2 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow2_col2 {\n",
        "            \n",
        "                background-color:  #fc7f00;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow2_col3 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow2_col3 {\n",
        "            \n",
-       "                background-color:  #fd8b00;\n",
+       "                background-color:  #ffb000;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow3_col0 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow3_col0 {\n",
        "            \n",
        "                background-color:  #e4ff7a;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow3_col1 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow3_col1 {\n",
        "            \n",
-       "                background-color:  #fe9000;\n",
+       "                background-color:  #ffbf01;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow3_col2 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow3_col2 {\n",
        "            \n",
-       "                background-color:  #fd8f00;\n",
+       "                background-color:  #ffb600;\n",
        "            \n",
        "            }\n",
        "        \n",
-       "            #T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow3_col3 {\n",
+       "            #T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow3_col3 {\n",
        "            \n",
        "                background-color:  #fc7f00;\n",
        "            \n",
@@ -175,7 +175,7 @@
        "        \n",
        "        </style>\n",
        "\n",
-       "        <table id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01b\" None>\n",
+       "        <table id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01b\" None>\n",
        "        \n",
        "\n",
        "        <thead>\n",
@@ -215,33 +215,33 @@
        "            <tr>\n",
        "                \n",
        "                \n",
-       "                <th id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01b\"\n",
+       "                <th id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01b\"\n",
        "                 class=\"row_heading level0 row0\" rowspan=1>\n",
        "                    Distance from event center (km)\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow0_col0\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow0_col0\"\n",
        "                 class=\"data row0 col0\" >\n",
        "                    1\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow0_col1\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow0_col1\"\n",
        "                 class=\"data row0 col1\" >\n",
-       "                    -0.104681\n",
+       "                    -0.40041\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow0_col2\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow0_col2\"\n",
        "                 class=\"data row0 col2\" >\n",
-       "                    -0.101477\n",
+       "                    -0.327719\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow0_col3\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow0_col3\"\n",
        "                 class=\"data row0 col3\" >\n",
-       "                    -0.375261\n",
+       "                    -0.50201\n",
        "                \n",
        "                \n",
        "            </tr>\n",
@@ -249,33 +249,33 @@
        "            <tr>\n",
        "                \n",
        "                \n",
-       "                <th id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01b\"\n",
+       "                <th id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01b\"\n",
        "                 class=\"row_heading level0 row1\" rowspan=1>\n",
        "                    Min of ref. Days\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow1_col0\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow1_col0\"\n",
        "                 class=\"data row1 col0\" >\n",
-       "                    -0.104681\n",
+       "                    -0.40041\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow1_col1\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow1_col1\"\n",
        "                 class=\"data row1 col1\" >\n",
        "                    1\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow1_col2\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow1_col2\"\n",
        "                 class=\"data row1 col2\" >\n",
-       "                    0.990716\n",
+       "                    0.735453\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow1_col3\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow1_col3\"\n",
        "                 class=\"data row1 col3\" >\n",
-       "                    0.855398\n",
+       "                    0.288805\n",
        "                \n",
        "                \n",
        "            </tr>\n",
@@ -283,33 +283,33 @@
        "            <tr>\n",
        "                \n",
        "                \n",
-       "                <th id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01b\"\n",
+       "                <th id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01b\"\n",
        "                 class=\"row_heading level0 row2\" rowspan=1>\n",
        "                    Max of ref. Days\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow2_col0\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow2_col0\"\n",
        "                 class=\"data row2 col0\" >\n",
-       "                    -0.101477\n",
+       "                    -0.327719\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow2_col1\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow2_col1\"\n",
        "                 class=\"data row2 col1\" >\n",
-       "                    0.990716\n",
+       "                    0.735453\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow2_col2\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow2_col2\"\n",
        "                 class=\"data row2 col2\" >\n",
        "                    1\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow2_col3\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow2_col3\"\n",
        "                 class=\"data row2 col3\" >\n",
-       "                    0.869914\n",
+       "                    0.412141\n",
        "                \n",
        "                \n",
        "            </tr>\n",
@@ -317,31 +317,31 @@
        "            <tr>\n",
        "                \n",
        "                \n",
-       "                <th id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01b\"\n",
+       "                <th id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01b\"\n",
        "                 class=\"row_heading level0 row3\" rowspan=1>\n",
        "                    Decrease on Day 62\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow3_col0\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow3_col0\"\n",
        "                 class=\"data row3 col0\" >\n",
-       "                    -0.375261\n",
+       "                    -0.50201\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow3_col1\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow3_col1\"\n",
        "                 class=\"data row3 col1\" >\n",
-       "                    0.855398\n",
+       "                    0.288805\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow3_col2\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow3_col2\"\n",
        "                 class=\"data row3 col2\" >\n",
-       "                    0.869914\n",
+       "                    0.412141\n",
        "                \n",
        "                \n",
        "                \n",
-       "                <td id=\"T_14d8b9dc_4dcc_11e8_bb8d_8086f2cce01brow3_col3\"\n",
+       "                <td id=\"T_90c93e98_4e69_11e8_aa9a_8086f2cce01brow3_col3\"\n",
        "                 class=\"data row3 col3\" >\n",
        "                    1\n",
        "                \n",
@@ -353,16 +353,16 @@
        "        "
       ],
       "text/plain": [
-       "<pandas.formats.style.Styler at 0x7f4b09f5a630>"
+       "<pandas.formats.style.Styler at 0x7f8404547b70>"
       ]
      },
-     "execution_count": 17,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "cust_data.corr().style.background_gradient(cmap='Wistia')"
+    "spend_data.corr().style.background_gradient(cmap='Wistia')"
    ]
   },
   {
@@ -374,7 +374,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -383,7 +383,7 @@
        "[]"
       ]
      },
-     "execution_count": 24,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -391,7 +391,7 @@
      "data": {
       "image/png": "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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f4b07bbe668>"
+       "<matplotlib.figure.Figure at 0x7f83c4d113c8>"
       ]
      },
      "metadata": {},
@@ -409,7 +409,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -418,7 +418,7 @@
        "[]"
       ]
      },
-     "execution_count": 29,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -426,7 +426,7 @@
      "data": {
       "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEKCAYAAAAfGVI8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAHqhJREFUeJzt3XuYXXV97/H3hxBlFHAeJU1DAAcR4g0lOCIaWgUL0WIlpYq0VIPSw/FYL4BPKlhPBWtLbM4RL621VPSgBxUvMSCURkpQeygCEyKEizliGjwMaIKHoJQ5mAzf88f6bdgZZ/Zek5l12Xt9Xs+zn9lr7bX2+u41M+u7f5f1+ykiMDOz5tqj6gDMzKxaTgRmZg3nRGBm1nBOBGZmDedEYGbWcE4EZmYN50RgZtZwTgRmZg3nRGBm1nB7FvnmkrYAvwTGgZ0RMSzpmcDlwBCwBTglIh7q9D777bdfDA0NFRmqmVnfWb9+/YMRMa/bdoUmguTYiHiwbflc4LqIWCnp3LT8/k5vMDQ0xMjISJExmpn1HUn35tmuiqqhk4BL0/NLgWUVxGBmZknRiSCAb0taL+nMtG5+RDyQnv8UmF9wDGZm1kHRVUPHRMSopN8ArpX0w/YXIyIkTTr8aUocZwIcdNBBBYdpZtZchZYIImI0/dwKfBM4CviZpAUA6efWKfa9OCKGI2J43ryubR1mZrabCksEkp4uaZ/Wc+AE4A7gSmB52mw5cEVRMZiZWXdFVg3NB74pqXWcL0XEP0u6BfiqpDOAe4FTCozBzCaxZsMoq9Zu4v7tY+w/OMCKpYtYtnhh1WFZRQpLBBGxGXjJJOt/DrymqOOaWWdrNoxy3uqNjO0YB2B0+xjnrd4I4GTQUL6z2KxhVq3d9EQSaBnbMc6qtZsqisiq5kRg1jD3bx+b1nrrf04EZg2z/+DAtNZb/3MiMGuYFUsXMTB3zi7rBubOYcXSRRVFZFUrY6whM6uRVoOwew1ZixOBWQMtW7zQF357gquGzMwazonAzKzhnAjMzBrOicDMrOGcCMzMGs6JwMys4ZwIzMwazonAzKzhnAjMzBrOicDMrOGcCMzMGs6JwMys4ZwIzMwazonAzKzhnAjMzBrOicDMrOGcCMzMGs6JwMys4TxVpVmfW7Nh1PMTW0dOBGZ9bM2GUc5bvZGxHeMAjG4f47zVGwGcDOwJrhoy62Or1m56Igm0jO0YZ9XaTRVFZHXkRGDWx+7fPjat9dZMTgRmfWz/wYFprbdmciIw62Mrli5iYO6cXdYNzJ3DiqWLKorI6siNxWZ9rNUg7F5D1okTgVmfW7Z4oS/81pGrhszMGq7wRCBpjqQNkq5KywdLuknSPZIul/SUomMwM7OplVEieC9wd9vyR4GLIuK5wEPAGSXEYGZmUyg0EUg6ADgR+GxaFnAc8PW0yaXAsiJjMDOzzoouEXwc+DPg8bT8LGB7ROxMy/cBbsUyM6tQYYlA0uuBrRGxfjf3P1PSiKSRbdu2zXJ0ZmbWUmSJYAnwBklbgK+QVQl9AhiU1Oq2egAwOtnOEXFxRAxHxPC8efMKDNPMrNkKSwQRcV5EHBARQ8CpwLqIOA24Hnhj2mw5cEVRMZiZWXdV3EfwfuAcSfeQtRlcUkEMZmaWlHJncUR8B/hOer4ZOKqM45qZWXe+s9jMrOGcCMzMGs6JwMys4ZwIzMwazonAzKzhnAjMzBrOicDMrOGcCMzMGs6JwMys4ZwIzMwazonAzKzhnAjMzBrOicDMrOGcCMzMGq5jIpC0VNIZkoYmrH97kUGZmVl5pkwEkv4a+HPgcOA6Se9ue/ldRQdmZmbl6FQi+D3guIg4C3gp8DpJF6XXVHhkZmZWik6JYM+I2AkQEdvJEsO+kr4GPKWM4MzMrHidEsGPJb2qtRAR4xFxBrAJeH7hkZmZWSk6JYI3ATdPXBkRHwQOLCwiMzMrVafJ68eBHa0FSccCRwJ3RcQ1RQdmZmbl6FQiuAUYBJC0AvgrYAA4R9KFJcRmZmYl6JQI5kTEQ+n5m4HXRMRHgNcBJxYemZmZlaJTIviFpBel5w8Ce6Xne3bZz8zMekinNoJ3AJdJug3YCoxI+h7ZDWZ/XUZwZmZWvCkTQUTcLulI4ATgMOA24D7g7HRfgZmZ9YFOJQIiYhy4Jj3MzKwPua7fzKzhnAjMzBquayKQdHgZgZiZWTXylAg+LelmSe+U9IzCIzIzs1J1TQQR8VvAaWTjC62X9CVJxxcemZmZlSJXG0FE/Aj4IPB+4FXAJyX9UNLJU+0jaa9UkrhN0p2SLkjrD5Z0k6R7JF0uyUNam5lVKE8bwYvThDR3A8cBvxcRz0/PL+qw62NkE9u8BDgCeK2ko4GPAhdFxHOBh4AzZvgZzMxsBjreR5B8Cvgs8IGIGGutjIj7JX1wqp0iIoBH0uLc9AiyBPJHaf2lwPnA30878h6zZsMoq9Zu4v7tY+w/OMCKpYtYtnhh1WGZmXVPBBHxqg6vfbHTvpLmAOuB5wJ/B/wY2N6a+YzsTuW+vxqu2TDKeas3MrZjHIDR7WOct3ojgJOBmVUuT9XQoZK+LukuSZtbjzxvnmY1OwI4ADgKeF7ewCSdKWlE0si2bdvy7lZLq9ZueiIJtIztGGfV2k0VRWRm9qQ8VUOfBz5E1h5wLPA2pnkjWkRsl3Q98ApgUFJrPuQDgNEp9rkYuBhgeHg4pnO83VFk1c3928emtd7MrEx5LugDEXEdoIi4NyLOJ8d8BJLmSWpNbDMAHE/W4Hw98Ma02XLgit0JfDa1qm5Gt48RPFl1s2bDpDlq2vYfHJjWejOzMuVJBI9J2gP4kaR3Sfp9YO8c+y0Arpd0O9lsZ9dGxFVkXVDPkXQP8Czgkt2MfdYUXXWzYukiBubO2WXdwNw5rFi6aFbe38xsJvJUDb0XeBrwHuAvyXr9LO+2U0TcDiyeZP1msvaC2ii66qZVxeReQ2ZWR3l6Dd2Snj5C1j7Qd/YfHGB0kov+bFbdLFu80Bd+M6uljlVDkpZLulXSf6THiKS3lhVcWVx1Y2ZNNmWJQNJy4CzgHOBWQMCRwCpJ0e0egl7iqhszazJlNwBP8oL0feDUiNgyYf0Q8JWIOLro4FqGh4djZGSkrMOZmfUFSesjYrjbdp2qhvadmAQA0rp9dz80MzOrk06JoFOXGd8JZWbWJzr1Gnp+ugdgIgHPKSgeMzMrWcdEUFoUZmZWmSkTQUTcW2YgZmZWjWkNHmdmZv3HicDMrOGcCMzMGq7rWEOSlpBNJ/nstL3IZqLsi55DnkLSzJouz+ijlwBnk005Od5l257iKSTNzPJVDT0cEddExNaI+HnrUXhkJfAUkmZm+UoE10taBawGHmutjIhbC4uqJJ5C0swsXyJ4efrZPnBRkE1Q09PKmIfAzKzu8kxMc2wZgVRhxdJFu7QRgOchMLPmydNr6BnAh4DfTqu+C3w4Ih4uMrAyeB4CM7N8VUOfA+4ATknLbwE+D5xcVFBl8hSSZtZ0eRLBIRHxB23LF0j6QVEBmZlZufJ0Hx2TdExrId1g5m41ZmZ9Ik+J4B3AF1JbAcBDwPLiQjIzszLl6TV0G/ASSfum5V8UHpWZmZUmT4kA6M0E4HGEzMy6y50Ieo3HEeofTuhmxerbYag9jlB/aCX00e1jBE8m9DUbRqsOzaxvdE0Ekp4m6b9K+se0fKik1xcf2sx4HKH+4IRuVrw8JYLPkw0294q0PAp8pLCIZslU4wV5HKHe4oRuVrw8ieCQiPgbYAdARDxKNjlNra1YuoiBuXN2WedxhOplzYZRlqxcx8HnXs2Slesmre5xQjcrXp5E8CtJA2QjjiLpENqGo66rZYsXcuHJh7NwcAABCwcHuPDkw93IWBN56/6d0M2Kl6fX0IeAfwYOlHQZsAQ4vcigZovHEaqvTnX/7b8zDwxoVrw8N5RdK+lW4GiyKqH3RsSDhUdmpaiqa+Z06v6d0M2KlWcY6iPT0wfSz4PScBP3RsTODvsdCHwBmE9WrXRxRHxC0jOBy4EhYAtwSkQ8tNufwHbbZPdarPjabVzwrTvZ/uiOQhODJwUyq488bQSfBr4PXAz8I3Aj8DVgk6QTOuy3E3hfRLyArDTxp5JeAJwLXBcRhwLXpWWrwGTVMzseDx56dEfhffZd929WH3kSwf3A4ogYjoiXAouBzcDxwN9MtVNEPNCa1zgifgncDSwETgIuTZtdCizb/fCLl6dnS6/K0wWzqD77bsw3q488jcWHRcSdrYWIuEvS8yJis5SvF6mkIbIEchMwPyJa1Uw/Jas6qqV+H6ZiquqZiYrqs++6f7N6yFMiuFPS30t6VXp8GrhL0lNJ9xZ0Imlv4BvAWRMHrouIIHVLnWS/MyWNSBrZtm1bjjBnXy/f1ZqnJDNZ9cxkXG9v1t/yJILTgXuAs9Jjc1q3A+g4sb2kuWRJ4LKIWJ1W/0zSgvT6AmDrZPtGxMWpOmp43rx5OcKcfb16V2vePvoTq2cGB+Yyd86upTzX25v1vzzdR8eA/54eEz0y1X7K6o0uAe6OiI+1vXQl2cQ2K9PPK6YTcJl6tWdL3j768OvVMx7p06x58nQfXQKcDzy7ffuIeE6XXZeQTXS/sW2O4w+QJYCvSjoDuBc4Zfphl2PF0kW7tBFAb3xDnklJxvX2Zs2Tp7H4EuBsYD0w3mXbJ0TE/2LqMYlek/d9qtSrd7X2aknGzKqRJxE8HBHXFB5JTfXiN+ReLcmYWTXyJILrJa0CVtM22FzrHgGrn14tyZhZNfIkgpenn8Nt6wI4bvbDsdnSiyUZM6tGnl5DHbuImpn1uqb3lss1eb2kE4EXAnu11kXEh4sKysysLP0+gkAeeeYs/gzwZuDdZL2A3kTWldTMrOf18ggCsyXPncWvjIi3Ag9FxAVkcxcfVmxYZmbl6NURBGZTnkTQOhuPStqfbGiJBcWFZGZWHs+LnS8RXCVpEFgF3Eo2mcyXiwzKzKwsnhsjX6+hv0xPvyHpKmCviHi42LDMzMrh+27y9xp6JdnUknumZSLiCwXGZWZWmqbfd5Nn0LkvAocAP+DJsYaCbD5iMzPrcXlKBMPAC9IkMmZm1mfyNBbfAfxm0YGYmVk1piwRSPoWWRXQPmRTU97MroPOvaH48MzMrGidqob+W2lRmJlZZTolglFgfkTc0L5S0jHAA4VGZY3T9EG/zKrUqY3g48AvJln/cHrNbFa0Bv0a3T5G8OSgX2s2jFYdmlkjdEoE8yNi48SVad1QYRFZ43jQL7NqdUoEgx1ea84gHFY4D/plVq1OiWBE0n+auFLSn5BNZG82Kzzol1m1OjUWnwV8U9JpPHnhHwaeAvx+0YFZc6xYumiXiUGgeYN+mVVpykQQET8DXinpWOBFafXVEbGulMisr3TqFeRBv8yqpV4YOWJ4eDhGRkaqDsN208SpACH7xn/hyYeXfrF3N1VrEknrI2K423a5Rh81m4lOvYLKvAh7btpmcvLvLs9YQ2YzUpdeQe6m2jy+RyUfJwIrXF16BU2VeEa3j7Fk5TpfHPqQk38+TgRWuLpMBdgp8fibYn+qS2m07pwIrHDLFi/kwpMPZ+HgAAIWDg5U0lA8WUJq52+K5VmzYZQlK9dx8LlXF1oaq0tptO7cWGylqMNUgO3dVEf9TbEyZTba+x6VfFwisEZZtnghN5x7HAv9TbEyZdbb16U0WncuEVgj+ZtiMfJ01Sy73r4OpdG6cyKwRvLdzLMvb5XP/oMDk1bNuTRWncISgaTPAa8HtkbEi9K6ZwKXkw1jvQU4JSIeKioGs078TXF25b1x0KWx+imyjeB/AK+dsO5c4LqIOBS4Li2b2Swqq0fORHmrfFxvXz+FlQgi4nuShiasPgl4dXp+KfAd4P1FxWDWNFUOozGdKh+Xxuql7F5D8yOiNd/xT4H5U20o6UxJI5JGtm3bVk50Zj2uyjtp63LjoE1fZd1HIxv2dMqhTyPi4ogYjojhefPmlRiZWe+q8k5aV/n0rrJ7Df1M0oKIeEDSAmBryce3hmjqiJNV98hxlU9vKrtEcCWwPD1fDlxR8vGtAZo84qSrZ2x3FJYIJH0ZuBFYJOk+SWcAK4HjJf0I+J20bDarmjzipKtnbHcU2WvoD6d46TVFHdMMPOKkq2dsunxnsfWdquvJzfKqS1uWB52zvuN6cusFdWrLciKwvuN6cusFdWrLctWQ9aUi6snrUoy3/lCntiyXCMxyqFMx3vpDnWZPcyIwy6FOxXjrD3Vqy3LVkFkOdSrGW3+o05wYTgRmObhLan30U1tNXe75cNWQWQ6TFePn7iEe/dXO0sf9bzK31RTDicAsh4ldUgcH5oLgoUd3+IJUIrfVFMOJwCynZYsXcsO5x/HvK0/k6U/dkx3ju46i7gtS8dxWUwy3EZjthrpfkPqpHr2d22qK4RKB2W6oUx/wifq5Hr1OXS77iROB2W6o8wWpn+vRPXxIMVw1ZLYb6tQHfKK6V1vNVF26XE6lF6vlnAjMdlNdL0iuR69Oq1quVSJrVcsBuf5Wqkoirhoy6zN1rraaDWs2jLJk5bpa3r8xk2q5Ktt2XCIw6zNFVltVXe0x02/cRZtJtVynJFL0Z3MiMOtDRQ3DXfVFuMqLZR4zqZarsm3HVUNmlksdeiPVvSG8W7Vcp2qtKrskOxGYWS51uAjX+f4N6Ny9tVsbQJVtO64aMrOu1mwYZQ+J8Yhfe202LsJ52x5WLF20S/UU1K8hfKpquW7VWlV2SXYiMLOOWt9kJ0sCs3ERnk7bQ53v3+gmT4mqqi7JTgRm1tFk32QB5kizclfvdBuA63r/Rjd1vr/DbQRm1tFU32Qfj5iVC3Id2h7KUOf7O5wIzKyjohto694APFvqPE6Sq4bMcqr6ZqqqFN1A2wsNwDM18W/nojcfUau/HScCsxzqcDNVVYpuoO3lBuA8euFvRzFJT4C6GR4ejpGRkarDsBoq61v6kpXrJm3oWzg4wA3nHld6PNY78v7tFEHS+ogY7radSwTWs8r8ppWnQbMXvvn1qzon4N1pDC/787ix2HpWmUMe5GnQrMMQDE1U9xnZptsYXsXncSKwnlVmt8M8Xf+a0g2ybuqegKfbbbSKz1NJIpD0WkmbJN0j6dwqYrDeV2a3wzxd/5rSDbJu6p6Ap9tttIrPU3obgaQ5wN8BxwP3AbdIujIi7io7FuttZXc77HZHaxO6QdZRne/YbZnO3dBVfJ4qSgRHAfdExOaI+BXwFeCkCuKwHle3G3TqFk9T1PmO3d1RxeepotfQQuD/tC3fB7y8gjisD9Rt3Jm6xdME/XYfQhWfp7bdRyWdCZwJcNBBB1UcjZnVWb8l4LI/TxVVQ6PAgW3LB6R1u4iIiyNiOCKG582bV1pwZmZNU0UiuAU4VNLBkp4CnApcWUEcZmZGBVVDEbFT0ruAtcAc4HMRcWfZcZiZWaaSNoKI+Cfgn6o4tpmZ7cp3FpuZNVxPjD4qaRtwb9VxTGI/4MGqg+ig7vFB/WN0fDPj+GZmpvE9OyK69rbpiURQV5JG8gzxWpW6xwf1j9HxzYzjm5my4nPVkJlZwzkRmJk1nBPBzFxcdQBd1D0+qH+Mjm9mHN/MlBKf2wjMzBrOJQIzs4ZzIsih20Q6kk6XtE3SD9LjT0qO73OStkq6Y4rXJemTKf7bJR1Zs/heLenhtvP3FyXHd6Ck6yXdJelOSe+dZJvKzmHO+Co7h5L2knSzpNtSfBdMss1TJV2ezt9NkoZqFl+l/8MphjmSNki6apLXij1/EeFHhwfZMBg/Bp4DPAW4DXjBhG1OB/62whh/GzgSuGOK138XuAYQcDRwU83iezVwVYXnbwFwZHq+D/C/J/kdV3YOc8ZX2TlM52Tv9HwucBNw9IRt3gl8Jj0/Fbi8ZvFV+j+cYjgH+NJkv8eiz59LBN3VfiKdiPge8H87bHIS8IXIfB8YlLSgnOhyxVepiHggIm5Nz38J3E02b0a7ys5hzvgqk87JI2lxbnpMbHw8Cbg0Pf868BpJqlF8lZJ0AHAi8NkpNin0/DkRdDfZRDqT/RP+Qaoy+LqkAyd5vUp5P0OVXpGK7tdIemFVQaQi92Kyb43tanEOO8QHFZ7DVK3xA2ArcG1ETHn+ImIn8DDwrBrFB9X+D38c+DPg8SleL/T8ORHMjm8BQxHxYuBanszcls+tZLfCvwT4FLCmiiAk7Q18AzgrIn5RRQyddImv0nMYEeMRcQTZ/CJHSXpRmcfvJkd8lf0PS3o9sDUi1pd1zImcCLrrOpFORPw8Ih5Li58FXlpSbHnlmgyoKhHxi1bRPbKRaedK2q/MGCTNJbvIXhYRqyfZpNJz2C2+OpzDdOztwPXAaye89MT5k7Qn8Azg5+VGN3V8Ff8PLwHeIGkLWdXzcZL+54RtCj1/TgTddZ1IZ0Jd8RvI6nDr5Ergranny9HAwxHxQNVBtUj6zVZ9p6SjyP4uS7tIpGNfAtwdER+bYrPKzmGe+Ko8h5LmSRpMzweA44EfTtjsSmB5ev5GYF2kls86xFfl/3BEnBcRB0TEENn1ZV1E/PGEzQo9f7Wds7guYoqJdCR9GBiJiCuB90h6A7CTrFH09DJjlPRlsl4j+0m6D/gQWYMYEfEZsrkffhe4B3gUeFvN4nsj8F8k7QTGgFPLukgkS4C3ABtTPTLAB4CD2mKs8hzmia/Kc7gAuFTSHLIE9NWIuGrC/8glwBcl3UP2P3JqSbHlja/S/+HJlHn+fGexmVnDuWrIzKzhnAjMzBrOicDMrOGcCMzMGs6JwMys4ZwIzMwazomg4SSNp2F370zj1LxP0h7ptWFJn+yw75CkPyov2l87/nsk3S3psqpimA2SBiW9s1eOkcbieU56/ki37Tu8z7skvX02YrKZcSKwsYg4IiJeSHbH5evIbvgiIkYi4j0d9h0CKksEZEPzHh8Rp7WvTLfg95JBss9Sq2Oku6j3mLDuhcCciNg8CzF9Dnj3LLyPzZATgT0hIrYCZwLvSheBVytNkiHpVXpy0o4NkvYBVgK/ldadnUoI/yrp1vR4Zdr31ZK+k75J/lDSZW3DIbxM0r+l0sjNkvZRNlLkKkm3KBsN8j9PjFXSZ8jmiLgmHft8SV+UdAPZHZh7Sfq8pI0p3mPTfqdLWiPpWklb0rfSc9I235f0zEmONU/SN1I8t0haImmPtP9g23Y/kjR/su3T6+crm6TnO5I2S2ol2ZXAIek8rprk+G9N5+E2SV+cKqbpHkPSirZzfEFaN6RsEqYvAHew6/hKAKcBV0wS436SbpR0Yvp9f1fSFSmGlZJOS7/fjZIOSX9vjwJblA2JYVWazckN/Oi9B/DIJOu2A/Npm+yEbHTGJen53mTDkzzxelr/NGCv9PxQstvjSds9TDZQ2x7AjcAxZBP9bAZelrbbN73vmcAH07qnAiPAwZPEuQXYLz0/H1gPDKTl95ENBwLwPOAnwF5kQwfcQzbBy7wU1zvSdheRjew58ThfAo5Jzw8iG/MH4BPA29LzlwP/0mX784F/S59pP7KxgOaSlaymmrTnhWQT0bQ+5zNn4xjACWQToyv9Tq4im0BoiGwo5KOniOe7wOHtfz9kfys3kZXOWr/v7WRDOzyVbMC0C9Jr7wU+3rb/nwPvq/r/oOmPXitCW3VuAD6mrD5+dUTcp1+fF2Mu8LeSjgDGgcPaXrs5Iu4DUDZezhDZRfiBiLgFshE00+snAC+W9Ma07zPIEsu/d4nxyogYS8+PIRuOmYj4oaR72+K5PrIJXn4p6WGyJAewEXjxJO/7O8AL2j7vvsqGhL4c+Avg86RZo7psD3B1ZKNcPiZpK9lFtJPjgK9FxIPps7Qm+JnpMU5Ijw1peW+yc/wT4N7IJt+ZzAJgW9vyXOA64E8j4rtt62+JNCifpB8D307rNwLHtm23lSxRW4WcCGwXyhoBx8n+QZ/fWh8RKyVdTTbw2g2Slk6y+9nAz4CXkH3L/H9trz3W9nyczn97At4dEWunGf5/5NyuPZbH25YfnyKuPci+Ibd/HiTdCDxX0jxgGfCRLttPPHa389DJTI8h4MKI+IcJ+w/R+TyOkZWsWnaSlcSWkpUWWvKe473Se1qF3EZgT0gXtM+Qzd0aE147JCI2RsRHyYbmfh7wS7IqlpZnkH3Df5xstMw5XQ65CVgg6WXpGPsoa+hdSzaS5ty0/jBJT5/mx/lXsvpsJB1GVn2yaZrv0fJt2ho1U4mHdI6+CXyMrGrm552272DieWy3DniTpGel92q1Ycz0GGuBt7dKEZIWSvqNLu8B2fDMz21bDuDtwPMkvT/H/hMdRtYWYRVyIrCB1IB4J/AvZBeYCybZ7ixJd0i6HdhBNpH77cB4asQ8G/g0sFzSbWSJouM39MjmgH4z8Km0z7Vk3xA/C9wF3CrpDuAfmP43508De0jaSFZlc3o8OfHIdL0HGE6NqncB72h77XLgj3myWqjb9r8mJZAb0vldNeG1O4G/Ar6bzlFrPoIZHSMivk3WznBjOkdfZ+pk1O5qsjaA9vceB/6QbEKV6fZ+WkL2e7cKeRhqM8tN2cQu15N1HBif4XstBs6JiLfMSnC225wIzGxaUvvQ3RHxkxm+z/HAjyJiy6wEZrvNicDMrOHcRmBm1nBOBGZmDedEYGbWcE4EZmYN50RgZtZw/x/1QA4NNrtXcQAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f4b07c3ea90>"
+       "<matplotlib.figure.Figure at 0x7f83c2c434e0>"
       ]
      },
      "metadata": {},
@@ -444,7 +444,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
@@ -453,7 +453,7 @@
        "[]"
       ]
      },
-     "execution_count": 30,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -461,7 +461,7 @@
      "data": {
       "image/png": "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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7f4b07b227b8>"
+       "<matplotlib.figure.Figure at 0x7f83c2c685c0>"
       ]
      },
      "metadata": {},
@@ -486,7 +486,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [
     {
@@ -511,7 +511,30 @@
   {
    "cell_type": "markdown",
    "metadata": {},
-   "source": []
+   "source": [
+    "**** \\*\\*\\*\\* Just need to do some T-Tests as in week 7 \\*\\*\\*\\* ****"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "T score: 9.767587, P score: 0.000000\n"
+     ]
+    }
+   ],
+   "source": [
+    "cust_increase = cust_data.loc[cust_data[\"Decrease on Day 62\"] >= cust_change_mean][\"Decrease on Day 62\"]\n",
+    "cust_decrease = cust_data.loc[cust_data[\"Decrease on Day 62\"] < cust_change_mean][\"Decrease on Day 62\"]\n",
+    "t, p = stats.ttest_ind(cust_increase, cust_decrease)\n",
+    "p = p/2 # Because 1 tailed T-Test\n",
+    "print(\"T score: %f, P score: %f\" % (t, p))"
+   ]
   },
   {
    "cell_type": "markdown",