Difference-in-differences.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.linear_model import LinearRegression\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>PHYS1015A</th>\n",
       "      <th>MidYear</th>\n",
       "      <th>Views</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>59</td>\n",
       "      <td>55.13</td>\n",
       "      <td>25.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>73</td>\n",
       "      <td>62.16</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>41</td>\n",
       "      <td>48.60</td>\n",
       "      <td>63.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>45</td>\n",
       "      <td>45.71</td>\n",
       "      <td>2.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>57</td>\n",
       "      <td>63.20</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   PHYS1015A  MidYear  Views\n",
       "0         59    55.13  25.00\n",
       "1         73    62.16   0.00\n",
       "2         41    48.60  63.75\n",
       "3         45    45.71   2.50\n",
       "4         57    63.20   0.00"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('DiffInDiff.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Extract the rows that have zero videos - this is the control group\n",
    "df_PHYS1015_control = []\n",
    "df_MidYear_control = []\n",
    "for i in df.index:\n",
    "    if df.Views[i] == 0:\n",
    "        df_PHYS1015_control.append(df.PHYS1015A[i])\n",
    "        df_MidYear_control.append(df.MidYear[i])\n",
    "df_PHYS1015_control = pd.Series(df_PHYS1015_control)\n",
    "df_MidYear_control = pd.Series(df_MidYear_control)\n",
    "\n",
    "df_control = pd.concat([df_PHYS1015_control,df_MidYear_control], axis = 1)\n",
    "df_control.columns = ['Final Mark', 'MidYear Mark']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## extract the rows that have greater than zero videos -  this is the treatment group\n",
    "## eventually, I will group these into bins to calculate the DIDs for bins.  But initially\n",
    "## I am just going to extract all students that watched any videos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_PHYS1015_treat = []\n",
    "df_MidYear_treat = []\n",
    "for i in df.index:\n",
    "    if df.Views[i] > 0:\n",
    "        df_PHYS1015_treat.append(df.PHYS1015A[i])\n",
    "        df_MidYear_treat.append(df.MidYear[i])\n",
    "df_PHYS1015_treat = pd.Series(df_PHYS1015_treat)\n",
    "df_MidYear_treat = pd.Series(df_MidYear_treat)\n",
    "\n",
    "df_treat = pd.concat([df_PHYS1015_treat,df_MidYear_treat], axis = 1)\n",
    "df_treat.columns = ['Final Mark', 'MidYear Mark']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "treat = []\n",
    "for k in df_treat.index:\n",
    "    treat.append(1)\n",
    "    \n",
    "df_treat['T/C'] = treat\n",
    "df_treat\n",
    "\n",
    "\n",
    "contr = []\n",
    "\n",
    "for k in df_control.index:\n",
    "    contr.append(0)\n",
    "    \n",
    "df_control['T/C'] = contr\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [],
   "source": [
    "## CONTROL GROUP: Here i place all the marks in one column.  The final mark is at the top, and the midyear is below.\n",
    "# the length changes to 480.\n",
    "\n",
    "df_control2 = df_control['Final Mark'].append(df_control['MidYear Mark']).reset_index(drop=True)\n",
    "df_control2 = pd.DataFrame(df_control2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {},
   "outputs": [],
   "source": [
    "## I need to create a second column indicating if it is treatment or control and place a zero in it.\n",
    "# then i create a third column for Pre/Post and place a zero in it.  In the next cell I change the first\n",
    "# 240 to 1\n",
    "df_control2['T/C'] = 0\n",
    "df_control2.shape\n",
    "df_control2['Pre/Post'] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\a0025105\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\ipykernel_launcher.py:3: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  This is separate from the ipykernel package so we can avoid doing imports until\n"
     ]
    }
   ],
   "source": [
    "# I need the first 240 to be a 1 and the second 240 to be zero.\n",
    "for k in df_control.index:\n",
    "    df_control2['Pre/Post'][k] =1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {},
   "outputs": [],
   "source": [
    "## TREATMENT GROUP: Here i place all the marks in one column.  The final mark is at the top, and the midyear is below.\n",
    "# the length changes to 1424, double the videos group.\n",
    "\n",
    "df_treat2 = df_treat['Final Mark'].append(df_treat['MidYear Mark']).reset_index(drop=True)\n",
    "df_treat2 = pd.DataFrame(df_treat2)\n",
    "df_treat2.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "metadata": {},
   "outputs": [],
   "source": [
    "## I need to create a second column indicating if it is treatment or control and place a zero in it.\n",
    "# then i create a third column for Pre/Post and place a zero in it.  In the next cell I change the first\n",
    "# 712 to 1\n",
    "df_treat2['T/C'] = 1\n",
    "\n",
    "df_treat2['Pre/Post'] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\a0025105\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\ipykernel_launcher.py:3: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  This is separate from the ipykernel package so we can avoid doing imports until\n"
     ]
    }
   ],
   "source": [
    "# I need the first 240 to be a 1 and the second 240 to be zero.\n",
    "for k in df_treat.index:\n",
    "    df_treat2['Pre/Post'][k] = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Grade</th>\n",
       "      <th>T/C</th>\n",
       "      <th>Pre/Post</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>59.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>41.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>45.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>67.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>76.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>62.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>53.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>52.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>53.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>52.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>54.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>50.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>67.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>81.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>73.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>73.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>60.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>46.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>48.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>88.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>78.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>69.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>57.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>56.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>44.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>81.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>58.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>51.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>54.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>85.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1394</th>\n",
       "      <td>41.62</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1395</th>\n",
       "      <td>96.12</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1396</th>\n",
       "      <td>73.70</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1397</th>\n",
       "      <td>58.34</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1398</th>\n",
       "      <td>72.72</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1399</th>\n",
       "      <td>71.10</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1400</th>\n",
       "      <td>68.42</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1401</th>\n",
       "      <td>68.32</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1402</th>\n",
       "      <td>62.80</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1403</th>\n",
       "      <td>63.68</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1404</th>\n",
       "      <td>73.26</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1405</th>\n",
       "      <td>65.44</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1406</th>\n",
       "      <td>60.84</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1407</th>\n",
       "      <td>71.36</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1408</th>\n",
       "      <td>81.74</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1409</th>\n",
       "      <td>67.08</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1410</th>\n",
       "      <td>72.50</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1411</th>\n",
       "      <td>61.60</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1412</th>\n",
       "      <td>84.36</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1413</th>\n",
       "      <td>83.16</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1414</th>\n",
       "      <td>82.04</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1415</th>\n",
       "      <td>74.80</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1416</th>\n",
       "      <td>64.56</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1417</th>\n",
       "      <td>73.86</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1418</th>\n",
       "      <td>53.90</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1419</th>\n",
       "      <td>70.20</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1420</th>\n",
       "      <td>72.76</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1421</th>\n",
       "      <td>43.80</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1422</th>\n",
       "      <td>74.30</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1423</th>\n",
       "      <td>73.70</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1424 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      Grade  T/C  Pre/Post\n",
       "0     59.00    1         1\n",
       "1     41.00    1         1\n",
       "2     45.00    1         1\n",
       "3     67.00    1         1\n",
       "4     76.00    1         1\n",
       "5     62.00    1         1\n",
       "6     53.00    1         1\n",
       "7     52.00    1         1\n",
       "8     53.00    1         1\n",
       "9     52.00    1         1\n",
       "10    54.00    1         1\n",
       "11    50.00    1         1\n",
       "12    67.00    1         1\n",
       "13    81.00    1         1\n",
       "14    73.00    1         1\n",
       "15    73.00    1         1\n",
       "16    60.00    1         1\n",
       "17    46.00    1         1\n",
       "18    48.00    1         1\n",
       "19    88.00    1         1\n",
       "20    78.00    1         1\n",
       "21    69.00    1         1\n",
       "22    57.00    1         1\n",
       "23    56.00    1         1\n",
       "24    44.00    1         1\n",
       "25    81.00    1         1\n",
       "26    58.00    1         1\n",
       "27    51.00    1         1\n",
       "28    54.00    1         1\n",
       "29    85.00    1         1\n",
       "...     ...  ...       ...\n",
       "1394  41.62    1         0\n",
       "1395  96.12    1         0\n",
       "1396  73.70    1         0\n",
       "1397  58.34    1         0\n",
       "1398  72.72    1         0\n",
       "1399  71.10    1         0\n",
       "1400  68.42    1         0\n",
       "1401  68.32    1         0\n",
       "1402  62.80    1         0\n",
       "1403  63.68    1         0\n",
       "1404  73.26    1         0\n",
       "1405  65.44    1         0\n",
       "1406  60.84    1         0\n",
       "1407  71.36    1         0\n",
       "1408  81.74    1         0\n",
       "1409  67.08    1         0\n",
       "1410  72.50    1         0\n",
       "1411  61.60    1         0\n",
       "1412  84.36    1         0\n",
       "1413  83.16    1         0\n",
       "1414  82.04    1         0\n",
       "1415  74.80    1         0\n",
       "1416  64.56    1         0\n",
       "1417  73.86    1         0\n",
       "1418  53.90    1         0\n",
       "1419  70.20    1         0\n",
       "1420  72.76    1         0\n",
       "1421  43.80    1         0\n",
       "1422  74.30    1         0\n",
       "1423  73.70    1         0\n",
       "\n",
       "[1424 rows x 3 columns]"
      ]
     },
     "execution_count": 184,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_treat2.columns = ['Grade','T/C','Pre/Post']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Grade</th>\n",
       "      <th>T/C</th>\n",
       "      <th>Pre/Post</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>73.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>57.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>53.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>67.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>71.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Grade  T/C  Pre/Post\n",
       "0   73.0    0         1\n",
       "1   57.0    0         1\n",
       "2   53.0    0         1\n",
       "3   67.0    0         1\n",
       "4   71.0    0         1"
      ]
     },
     "execution_count": 208,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DID_all = df_control2.append(df_treat2).reset_index(drop=True)\n",
    "DID_all.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 210,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\a0025105\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\ipykernel_launcher.py:4: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  after removing the cwd from sys.path.\n"
     ]
    }
   ],
   "source": [
    "DID_all['TT'] = 0\n",
    "\n",
    "for k in DID_all.index:\n",
    "    DID_all['TT'][k] = DID_all['T/C'][k]*DID_all['Pre/Post'][k]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 219,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import stats\n",
    "import numpy as np\n",
    "X = np.array(DID_all.iloc[:,1:])\n",
    "y = np.array(DID_all.iloc[:,0])\n",
    "\n",
    "reg = LinearRegression().fit(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 222,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The coefficients are :[-1.49114298 -2.01110833  3.68641451]\n",
      "The intercept is 60.390274999999995\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<bound method RegressorMixin.score of LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False)>"
      ]
     },
     "execution_count": 222,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print('The coefficients are :{}' .format(reg.coef_))\n",
    "print('The intercept is {}'. format(reg.intercept_))\n",
    "reg.score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 313,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(952, 3)"
      ]
     },
     "execution_count": 313,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Here I create a new master dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Need to start over and get a better master dataframe\n",
    "DID_master = pd.DataFrame(df['PHYS1015A'].append(df['MidYear']).reset_index(drop=True))\n",
    " \n",
    "DID_master['Views']= df['Views']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Duplicate views at the bottom half\n",
    "for k in df.index:\n",
    "    DID_master['Views'][k+952] =df.Views[k]\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "DID_master.columns =['Grade','Views']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\a0025105\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\ipykernel_launcher.py:3: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  This is separate from the ipykernel package so we can avoid doing imports until\n"
     ]
    }
   ],
   "source": [
    "DID_master['Pre/Post'] = 0\n",
    "for k in df.index:\n",
    "    DID_master['Pre/Post'][k] = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Below is the final master set: DID_master"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\a0025105\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\ipykernel_launcher.py:6: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \n",
      "C:\\Users\\a0025105\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\ipykernel_launcher.py:4: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  after removing the cwd from sys.path.\n"
     ]
    }
   ],
   "source": [
    "DID_master['T/C'] = 0\n",
    "for k in DID_master.index:\n",
    "    if DID_master['Views'][k] == 0:\n",
    "        DID_master['T/C'][k] =  0\n",
    "    else:\n",
    "        DID_master['T/C'][k] = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# I still need to create the final column where we multiply the PrePost with TC.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\a0025105\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\ipykernel_launcher.py:4: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  after removing the cwd from sys.path.\n"
     ]
    }
   ],
   "source": [
    "DID_master['TT'] = 0\n",
    "\n",
    "for b in DID_master.index:\n",
    "    DID_master['TT'][b] = DID_master['Pre/Post'][b]*DID_master['T/C'][b]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "DID10 = DID_master.loc[DID_master.Views <=10]\n",
    "DID20 = DID_master.loc[(DID_master.Views >10) &(DID_master.Views <=20)|(DID_master.Views == 0)]\n",
    "DID30 = DID_master.loc[(DID_master.Views >20) &(DID_master.Views <=30) |(DID_master.Views == 0)]\n",
    "DID40 = DID_master.loc[(DID_master.Views >30) &(DID_master.Views <=40) |(DID_master.Views == 0)]\n",
    "DID50 = DID_master.loc[(DID_master.Views >40)& (DID_master.Views <=50) |(DID_master.Views == 0)]\n",
    "DID60 = DID_master.loc[(DID_master.Views >50)& (DID_master.Views <=60) |(DID_master.Views ==0)]\n",
    "DID70 = DID_master.loc[(DID_master.Views >60)& (DID_master.Views <=70) |(DID_master.Views ==0)]\n",
    "DID80 = DID_master.loc[(DID_master.Views >70)& (DID_master.Views <=80) |(DID_master.Views ==0)]\n",
    "DID90 = DID_master.loc[(DID_master.Views >80)& (DID_master.Views <=90) |(DID_master.Views ==0)]\n",
    "DID100 = DID_master.loc[(DID_master.Views >90)& (DID_master.Views <=100) |(DID_master.Views ==0)]\n",
    "\n",
    "\n",
    "DID_list = [DID10, DID20, DID30, DID40,DID50,DID60,DID70,DID80,DID90, DID100]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "DID_5 = DID_master.loc[DID_master.Views <=5]\n",
    "DID_10 = DID_master.loc[(DID_master.Views >5) &(DID_master.Views <=10)|(DID_master.Views == 0)]\n",
    "DID_15 = DID_master.loc[(DID_master.Views >10) &(DID_master.Views <=15) |(DID_master.Views == 0)]\n",
    "DID_20 = DID_master.loc[(DID_master.Views >15) &(DID_master.Views <=20) |(DID_master.Views == 0)]\n",
    "DID_25 = DID_master.loc[(DID_master.Views >20)& (DID_master.Views <=25) |(DID_master.Views == 0)]\n",
    "DID_30 = DID_master.loc[(DID_master.Views >25)& (DID_master.Views <=30) |(DID_master.Views ==0)]\n",
    "DID_35 = DID_master.loc[(DID_master.Views >30)& (DID_master.Views <=35) |(DID_master.Views ==0)]\n",
    "DID_40 = DID_master.loc[(DID_master.Views >35)& (DID_master.Views <=40) |(DID_master.Views ==0)]\n",
    "DID_45 = DID_master.loc[(DID_master.Views >40)& (DID_master.Views <=45) |(DID_master.Views ==0)]\n",
    "DID_50 = DID_master.loc[(DID_master.Views >45)& (DID_master.Views <=50) |(DID_master.Views ==0)]\n",
    "DID_55 = DID_master.loc[(DID_master.Views >50)& (DID_master.Views <=55) |(DID_master.Views ==0)]\n",
    "DID_60 = DID_master.loc[(DID_master.Views >55)& (DID_master.Views <=60) |(DID_master.Views ==0)]\n",
    "DID_65 = DID_master.loc[(DID_master.Views >60)& (DID_master.Views <=65) |(DID_master.Views ==0)]\n",
    "DID_70 = DID_master.loc[(DID_master.Views >65)& (DID_master.Views <=70) |(DID_master.Views ==0)]\n",
    "DID_75 = DID_master.loc[(DID_master.Views >70)& (DID_master.Views <=75) |(DID_master.Views ==0)]\n",
    "DID_80 = DID_master.loc[(DID_master.Views >75)& (DID_master.Views <=80) |(DID_master.Views ==0)]\n",
    "DID_85 = DID_master.loc[(DID_master.Views >80)& (DID_master.Views <=85) |(DID_master.Views ==0)]\n",
    "DID_90 = DID_master.loc[(DID_master.Views >85)& (DID_master.Views <=90) |(DID_master.Views ==0)]\n",
    "DID_95 = DID_master.loc[(DID_master.Views >90)& (DID_master.Views <=95) |(DID_master.Views ==0)]\n",
    "DID_100 = DID_master.loc[(DID_master.Views >95)& (DID_master.Views <=100) |(DID_master.Views ==0)]\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "DID_list2 = [DID_5, DID_10,DID_15,DID_20,DID_25,DID_30,DID_35,DID_40,DID_45,DID_50,\n",
    "            DID_55,DID_60,DID_65,DID_70,DID_75,DID_80,DID_85,DID_90,DID_95,DID_100]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 515,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1904"
      ]
     },
     "execution_count": 515,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(DID_master)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import stats\n",
    "import numpy as np\n",
    "\n",
    "DID_coef = []\n",
    "DID_lengths = []\n",
    "\n",
    "for ind in DID_list2:\n",
    "    X = np.array(ind.iloc[:,2:])\n",
    "    y = np.array(ind.iloc[:,0])\n",
    "    reg = LinearRegression().fit(X,y)\n",
    "    #print('The coefficients are :{}' .format(reg.coef_))\n",
    "    #print('The intercept is {}'. format(reg.intercept_))\n",
    "    DID_coef.append(reg.coef_[2])\n",
    "    DID_lengths.append(len(ind))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A                0\n",
      "count  10.000000\n",
      "mean    3.825753\n",
      "std     0.902757\n",
      "min     2.354081\n",
      "25%     3.144136\n",
      "50%     3.954004\n",
      "75%     4.295844\n",
      "max     5.257873\n",
      "B                0\n",
      "count  10.000000\n",
      "mean    3.544046\n",
      "std     1.192519\n",
      "min     2.113608\n",
      "25%     2.506108\n",
      "50%     3.444976\n",
      "75%     4.063296\n",
      "max     5.709932\n"
     ]
    }
   ],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Below I am trying to calculate the number of students in each bin.\n",
    " First I calculate how many control students there were.\n",
    " It calculates 480, but that is double the correct amount"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 511,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(480, 5)"
      ]
     },
     "execution_count": 511,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DID_master.loc[DID_master.Views ==0].shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then I need to take each of the DIDs calculated above, subtract the control students and then divide by two again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([77., 62., 46., 48., 38., 45., 35., 30., 37., 34., 39., 30., 28.,\n",
       "       23., 32., 17., 18., 15., 26., 32.])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DID_lengths = np.array(DID_lengths)\n",
    "#These are the number of students watching videos in each bin\n",
    "(DID_lengths-480)/2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 494,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(480, 5)"
      ]
     },
     "execution_count": 494,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DID_master.loc[DID_master.Views ==0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 529,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The coefficients are :[-2.01110833  0.20166944  3.86360833]\n",
      "The intercept is 60.390274999999995\n"
     ]
    }
   ],
   "source": [
    "DID = DID_master.loc[(DID_master.Views >75)|(DID_master.Views ==0)]\n",
    "X = np.array(DID.iloc[:,2:])\n",
    "y = np.array(DID.iloc[:,0])\n",
    "reg = LinearRegression().fit(X,y)\n",
    "print('The coefficients are :{}' .format(reg.coef_))\n",
    "print('The intercept is {}'. format(reg.intercept_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 437,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The coefficients are :[ 0.04201901 -0.129352   -1.98296638]\n",
      "The intercept is 59.44939683333334\n"
     ]
    }
   ],
   "source": [
    "X = np.array(DID505.iloc[:,1:])\n",
    "y = np.array(DID505.iloc[:,0])\n",
    "reg = LinearRegression().fit(X,y)\n",
    "print('The coefficients are :{}' .format(reg.coef_))\n",
    "print('The intercept is {}'. format(reg.intercept_))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Below I want to plot the amount of videos watched and the did values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2.858901</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3.001431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.737195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.232233</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.307793</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>4.259997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3.572251</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>3.675775</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2.354081</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>5.257873</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>5.070083</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2.955108</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2.113608</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2.339369</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>3.882358</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>5.709932</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>3.279997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2.356442</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>3.609954</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>4.123608</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           0\n",
       "0   2.858901\n",
       "1   3.001431\n",
       "2   4.737195\n",
       "3   4.232233\n",
       "4   4.307793\n",
       "5   4.259997\n",
       "6   3.572251\n",
       "7   3.675775\n",
       "8   2.354081\n",
       "9   5.257873\n",
       "10  5.070083\n",
       "11  2.955108\n",
       "12  2.113608\n",
       "13  2.339369\n",
       "14  3.882358\n",
       "15  5.709932\n",
       "16  3.279997\n",
       "17  2.356442\n",
       "18  3.609954\n",
       "19  4.123608"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DID_coef"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A                0\n",
      "count  10.000000\n",
      "mean    3.825753\n",
      "std     0.902757\n",
      "min     2.354081\n",
      "25%     3.144136\n",
      "50%     3.954004\n",
      "75%     4.295844\n",
      "max     5.257873\n",
      "B                0\n",
      "count  10.000000\n",
      "mean    3.544046\n",
      "std     1.192519\n",
      "min     2.113608\n",
      "25%     2.506108\n",
      "50%     3.444976\n",
      "75%     4.063296\n",
      "max     5.709932\n"
     ]
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAK20lEQVR4Xu3VgQkAAAgCwdx/6eZ4uCaQM3DnCBAgQIBAUGDBzCITIECAAIEzYJ6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECDzIbwEhPy/9RgAAAABJRU5ErkJggg==\" width=\"432\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'DID value [%]')"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAK20lEQVR4Xu3VgQkAAAgCwdx/6eZ4uCaQM3DnCBAgQIBAUGDBzCITIECAAIEzYJ6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECBgwP0CAAAECSQEDlqxNaAIECBAwYH6AAAECBJICBixZm9AECBAgYMD8AAECBAgkBQxYsjahCRAgQMCA+QECBAgQSAoYsGRtQhMgQICAAfMDBAgQIJAUMGDJ2oQmQIAAAQPmBwgQIEAgKWDAkrUJTYAAAQIGzA8QIECAQFLAgCVrE5oAAQIEDJgfIECAAIGkgAFL1iY0AQIECDzIbwEhPy/9RgAAAABJRU5ErkJggg==\" width=\"432\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "plt.plot(DID_coef, 'ro')\n",
    "plt.xlabel('Bins of videos watched')\n",
    "plt.ylabel('DID value [%]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A                0\n",
      "count  10.000000\n",
      "mean    3.825753\n",
      "std     0.902757\n",
      "min     2.354081\n",
      "25%     3.144136\n",
      "50%     3.954004\n",
      "75%     4.295844\n",
      "max     5.257873\n",
      "B                0\n",
      "count  10.000000\n",
      "mean    3.544046\n",
      "std     1.192519\n",
      "min     2.113608\n",
      "25%     2.506108\n",
      "50%     3.444976\n",
      "75%     4.063296\n",
      "max     5.709932\n"
     ]
    }
   ],
   "source": [
    "DID_coefa = DID_coef.iloc[0:10]\n",
    "DID_coefb = DID_coef.iloc[10:]\n",
    "print('A {}' .format(DID_coefa.describe()))\n",
    "print('B {}' .format(DID_coefb.describe()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The coefficients are :[[-0.01241877]]\n",
      "The intercept is [3.81529659]\n"
     ]
    }
   ],
   "source": [
    "XX = np.array([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]).reshape(-1,1)\n",
    "XXa = np.array([1,2,3,4,5,6,7,8,9,10]).reshape(-1,1)\n",
    "yy = np.array(DID_coef)\n",
    "yya  =np.array(DID_coefa)\n",
    "reg2 = LinearRegression().fit(XX,yy)\n",
    "print('The coefficients are :{}' .format(reg2.coef_))\n",
    "print('The intercept is {}'. format(reg2.intercept_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'DID value [%]')"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "plt.plot(XX,reg2.coef_*XX +reg2.intercept_,'b-')\n",
    "plt.plot(XX, yy, 'ro')\n",
    "plt.xlabel('Bins of videos watched')\n",
    "plt.ylabel('DID value [%]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}