Retention Analysis.ipynb

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       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>childid</th>\n",
       "      <th>session_id</th>\n",
       "      <th>createdat</th>\n",
       "      <th>gamename</th>\n",
       "      <th>duration</th>\n",
       "      <th>gender</th>\n",
       "      <th>age</th>\n",
       "      <th>wordtype</th>\n",
       "      <th>platform</th>\n",
       "      <th>gamescore</th>\n",
       "      <th>minutes_since_last_interval</th>\n",
       "      <th>new_event_boundary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1004</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-07 20:34:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>47</td>\n",
       "      <td>F</td>\n",
       "      <td>19</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1005</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-07 20:52:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>7</td>\n",
       "      <td>F</td>\n",
       "      <td>7</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1005</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-07 20:53:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>0</td>\n",
       "      <td>F</td>\n",
       "      <td>7</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1005</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-07 20:54:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>0</td>\n",
       "      <td>F</td>\n",
       "      <td>7</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1010</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-08 00:45:00</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>70</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1010</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-10 00:07:00</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>23</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>0</td>\n",
       "      <td>2842.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1010</td>\n",
       "      <td>2</td>\n",
       "      <td>2016-11-12 12:40:00</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>78</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>3633.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1010</td>\n",
       "      <td>2</td>\n",
       "      <td>2016-11-12 12:52:00</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>294</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1010</td>\n",
       "      <td>3</td>\n",
       "      <td>2016-11-17 00:14:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>48</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>6442.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1010</td>\n",
       "      <td>3</td>\n",
       "      <td>2016-11-17 00:15:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>55</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1010</td>\n",
       "      <td>3</td>\n",
       "      <td>2016-11-17 00:17:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>70</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1010</td>\n",
       "      <td>3</td>\n",
       "      <td>2016-11-17 00:18:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>78</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1010</td>\n",
       "      <td>3</td>\n",
       "      <td>2016-11-17 00:23:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>91</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1010</td>\n",
       "      <td>3</td>\n",
       "      <td>2016-11-17 00:27:00</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>106</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1010</td>\n",
       "      <td>4</td>\n",
       "      <td>2016-11-28 23:46:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>65</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>17239.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>1010</td>\n",
       "      <td>5</td>\n",
       "      <td>2016-11-30 00:19:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>64</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1473.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1010</td>\n",
       "      <td>6</td>\n",
       "      <td>2016-12-13 23:43:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>99</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>20124.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1010</td>\n",
       "      <td>6</td>\n",
       "      <td>2016-12-13 23:47:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>67</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1010</td>\n",
       "      <td>7</td>\n",
       "      <td>2017-01-02 13:55:00</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>79</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>28208.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1010</td>\n",
       "      <td>8</td>\n",
       "      <td>2017-01-09 20:03:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>37</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>10448.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>1010</td>\n",
       "      <td>9</td>\n",
       "      <td>2017-01-09 20:53:00</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>148</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>50.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1010</td>\n",
       "      <td>9</td>\n",
       "      <td>2017-01-09 20:57:00</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>223</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1010</td>\n",
       "      <td>10</td>\n",
       "      <td>2017-03-23 23:01:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>89</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>105244.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1010</td>\n",
       "      <td>11</td>\n",
       "      <td>2017-07-09 17:49:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>60</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>iOS</td>\n",
       "      <td>1</td>\n",
       "      <td>155208.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1011</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-08 20:31:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>66</td>\n",
       "      <td>M</td>\n",
       "      <td>47</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1011</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-12 04:24:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>51</td>\n",
       "      <td>M</td>\n",
       "      <td>47</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>4793.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1011</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-12 04:38:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>39</td>\n",
       "      <td>M</td>\n",
       "      <td>47</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>14.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1011</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-12 04:45:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>16</td>\n",
       "      <td>M</td>\n",
       "      <td>47</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1011</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-12 04:46:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>42</td>\n",
       "      <td>M</td>\n",
       "      <td>47</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1012</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-12-25 16:21:00</td>\n",
       "      <td>Letterlab</td>\n",
       "      <td>240</td>\n",
       "      <td>F</td>\n",
       "      <td>5</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118245</th>\n",
       "      <td>999</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-08 16:06:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>14</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>2427.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118246</th>\n",
       "      <td>999</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-08 16:07:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>34</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118247</th>\n",
       "      <td>999</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-08 16:09:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>56</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118248</th>\n",
       "      <td>999</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-08 16:11:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>21</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118249</th>\n",
       "      <td>999</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-08 16:13:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>52</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118250</th>\n",
       "      <td>999</td>\n",
       "      <td>1</td>\n",
       "      <td>2016-11-08 16:19:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>21</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>6.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118251</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:34:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>39</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>131295.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118252</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:36:00</td>\n",
       "      <td>Bowling</td>\n",
       "      <td>46</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118253</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:36:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>36</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118254</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:38:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>21</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118255</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:41:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>37</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118256</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:42:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>73</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118257</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:43:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>26</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118258</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:44:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>65</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118259</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:46:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>91</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118260</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:46:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>26</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118261</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:47:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>13</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118262</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:47:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>26</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118263</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:47:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>23</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118264</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:51:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>34</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118265</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:52:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>58</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118266</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:53:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>57</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118267</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:54:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>42</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118268</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:55:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>73</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118269</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:56:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>27</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118270</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 20:57:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>29</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118271</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 21:00:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>12</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118272</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 21:01:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>43</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118273</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 21:03:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>41</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118274</th>\n",
       "      <td>999</td>\n",
       "      <td>2</td>\n",
       "      <td>2017-02-07 21:03:00</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>13</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>118275 rows × 12 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        childid  session_id            createdat   gamename  duration gender  \\\n",
       "0          1004           0  2016-11-07 20:34:00     Lagoon        47      F   \n",
       "1          1005           0  2016-11-07 20:52:00     Lagoon         7      F   \n",
       "2          1005           0  2016-11-07 20:53:00     Lagoon         0      F   \n",
       "3          1005           0  2016-11-07 20:54:00     Lagoon         0      F   \n",
       "4          1010           0  2016-11-08 00:45:00    Bubbles        70      F   \n",
       "5          1010           1  2016-11-10 00:07:00    Bubbles        23      F   \n",
       "6          1010           2  2016-11-12 12:40:00    Bubbles        78      F   \n",
       "7          1010           2  2016-11-12 12:52:00    Bubbles       294      F   \n",
       "8          1010           3  2016-11-17 00:14:00    Bowling        48      F   \n",
       "9          1010           3  2016-11-17 00:15:00    Bowling        55      F   \n",
       "10         1010           3  2016-11-17 00:17:00    Bowling        70      F   \n",
       "11         1010           3  2016-11-17 00:18:00    Bowling        78      F   \n",
       "12         1010           3  2016-11-17 00:23:00    Bowling        91      F   \n",
       "13         1010           3  2016-11-17 00:27:00    Bubbles       106      F   \n",
       "14         1010           4  2016-11-28 23:46:00    Bowling        65      F   \n",
       "15         1010           5  2016-11-30 00:19:00     Lagoon        64      F   \n",
       "16         1010           6  2016-12-13 23:43:00    Bowling        99      F   \n",
       "17         1010           6  2016-12-13 23:47:00    Bowling        67      F   \n",
       "18         1010           7  2017-01-02 13:55:00    Bubbles        79      F   \n",
       "19         1010           8  2017-01-09 20:03:00    Bowling        37      F   \n",
       "20         1010           9  2017-01-09 20:53:00    Bubbles       148      F   \n",
       "21         1010           9  2017-01-09 20:57:00    Bubbles       223      F   \n",
       "22         1010          10  2017-03-23 23:01:00    Bowling        89      F   \n",
       "23         1010          11  2017-07-09 17:49:00    Bowling        60      F   \n",
       "24         1011           0  2016-11-08 20:31:00    Bowling        66      M   \n",
       "25         1011           1  2016-11-12 04:24:00     Lagoon        51      M   \n",
       "26         1011           1  2016-11-12 04:38:00     Lagoon        39      M   \n",
       "27         1011           1  2016-11-12 04:45:00     Lagoon        16      M   \n",
       "28         1011           1  2016-11-12 04:46:00     Lagoon        42      M   \n",
       "29         1012           0  2016-12-25 16:21:00  Letterlab       240      F   \n",
       "...         ...         ...                  ...        ...       ...    ...   \n",
       "118245      999           1  2016-11-08 16:06:00     Lagoon        14      F   \n",
       "118246      999           1  2016-11-08 16:07:00     Lagoon        34      F   \n",
       "118247      999           1  2016-11-08 16:09:00     Lagoon        56      F   \n",
       "118248      999           1  2016-11-08 16:11:00     Lagoon        21      F   \n",
       "118249      999           1  2016-11-08 16:13:00     Lagoon        52      F   \n",
       "118250      999           1  2016-11-08 16:19:00     Lagoon        21      F   \n",
       "118251      999           2  2017-02-07 20:34:00     Lagoon        39      F   \n",
       "118252      999           2  2017-02-07 20:36:00    Bowling        46      F   \n",
       "118253      999           2  2017-02-07 20:36:00     Lagoon        36      F   \n",
       "118254      999           2  2017-02-07 20:38:00     Lagoon        21      F   \n",
       "118255      999           2  2017-02-07 20:41:00     Lagoon        37      F   \n",
       "118256      999           2  2017-02-07 20:42:00     Lagoon        73      F   \n",
       "118257      999           2  2017-02-07 20:43:00     Lagoon        26      F   \n",
       "118258      999           2  2017-02-07 20:44:00     Lagoon        65      F   \n",
       "118259      999           2  2017-02-07 20:46:00     Lagoon        91      F   \n",
       "118260      999           2  2017-02-07 20:46:00     Lagoon        26      F   \n",
       "118261      999           2  2017-02-07 20:47:00     Lagoon        13      F   \n",
       "118262      999           2  2017-02-07 20:47:00     Lagoon        26      F   \n",
       "118263      999           2  2017-02-07 20:47:00     Lagoon        23      F   \n",
       "118264      999           2  2017-02-07 20:51:00     Lagoon        34      F   \n",
       "118265      999           2  2017-02-07 20:52:00     Lagoon        58      F   \n",
       "118266      999           2  2017-02-07 20:53:00     Lagoon        57      F   \n",
       "118267      999           2  2017-02-07 20:54:00     Lagoon        42      F   \n",
       "118268      999           2  2017-02-07 20:55:00     Lagoon        73      F   \n",
       "118269      999           2  2017-02-07 20:56:00     Lagoon        27      F   \n",
       "118270      999           2  2017-02-07 20:57:00     Lagoon        29      F   \n",
       "118271      999           2  2017-02-07 21:00:00     Lagoon        12      F   \n",
       "118272      999           2  2017-02-07 21:01:00     Lagoon        43      F   \n",
       "118273      999           2  2017-02-07 21:03:00     Lagoon        41      F   \n",
       "118274      999           2  2017-02-07 21:03:00     Lagoon        13      F   \n",
       "\n",
       "        age wordtype   platform  gamescore  minutes_since_last_interval  \\\n",
       "0        19     WORD  Not Known          1                          NaN   \n",
       "1         7     WORD  Not Known          1                          NaN   \n",
       "2         7     WORD  Not Known          1                          1.0   \n",
       "3         7     WORD  Not Known          1                          1.0   \n",
       "4         4     WORD  Not Known          1                          NaN   \n",
       "5         4     WORD  Not Known          0                       2842.0   \n",
       "6         4     WORD  Not Known          1                       3633.0   \n",
       "7         4     WORD  Not Known          1                         12.0   \n",
       "8         4     WORD  Not Known          1                       6442.0   \n",
       "9         4     WORD  Not Known          1                          1.0   \n",
       "10        4     WORD  Not Known          0                          2.0   \n",
       "11        4     WORD  Not Known          1                          1.0   \n",
       "12        4     WORD  Not Known          1                          5.0   \n",
       "13        4     WORD  Not Known          1                          4.0   \n",
       "14        4     WORD  Not Known          1                      17239.0   \n",
       "15        4     WORD  Not Known          1                       1473.0   \n",
       "16        4     WORD  Not Known          1                      20124.0   \n",
       "17        4     WORD  Not Known          1                          4.0   \n",
       "18        4     WORD  Not Known          1                      28208.0   \n",
       "19        4     WORD  Not Known          1                      10448.0   \n",
       "20        4     WORD  Not Known          1                         50.0   \n",
       "21        4     WORD  Not Known          1                          4.0   \n",
       "22        4     WORD  Not Known          1                     105244.0   \n",
       "23        4     WORD        iOS          1                     155208.0   \n",
       "24       47     WORD  Not Known          1                          NaN   \n",
       "25       47     WORD  Not Known          1                       4793.0   \n",
       "26       47     WORD  Not Known          1                         14.0   \n",
       "27       47     WORD  Not Known          1                          7.0   \n",
       "28       47     WORD  Not Known          1                          1.0   \n",
       "29        5     WORD  Not Known          1                          NaN   \n",
       "...     ...      ...        ...        ...                          ...   \n",
       "118245    4     WORD  Not Known          1                       2427.0   \n",
       "118246    4     WORD  Not Known          1                          1.0   \n",
       "118247    4     WORD  Not Known          1                          2.0   \n",
       "118248    4     WORD  Not Known          1                          2.0   \n",
       "118249    4     WORD  Not Known          1                          2.0   \n",
       "118250    4     WORD  Not Known          1                          6.0   \n",
       "118251    4     WORD  Not Known          1                     131295.0   \n",
       "118252    4     WORD  Not Known          1                          2.0   \n",
       "118253    4     WORD  Not Known          1                          0.0   \n",
       "118254    4     WORD  Not Known          1                          2.0   \n",
       "118255    4     WORD  Not Known          1                          3.0   \n",
       "118256    4     WORD  Not Known          1                          1.0   \n",
       "118257    4     WORD  Not Known          1                          1.0   \n",
       "118258    4     WORD  Not Known          1                          1.0   \n",
       "118259    4     WORD  Not Known          1                          2.0   \n",
       "118260    4     WORD  Not Known          1                          0.0   \n",
       "118261    4     WORD  Not Known          1                          1.0   \n",
       "118262    4     WORD  Not Known          1                          0.0   \n",
       "118263    4     WORD  Not Known          1                          0.0   \n",
       "118264    4     WORD  Not Known          1                          4.0   \n",
       "118265    4     WORD  Not Known          1                          1.0   \n",
       "118266    4     WORD  Not Known          1                          1.0   \n",
       "118267    4     WORD  Not Known          1                          1.0   \n",
       "118268    4     WORD  Not Known          1                          1.0   \n",
       "118269    4     WORD  Not Known          1                          1.0   \n",
       "118270    4     WORD  Not Known          1                          1.0   \n",
       "118271    4     WORD  Not Known          1                          3.0   \n",
       "118272    4     WORD  Not Known          1                          1.0   \n",
       "118273    4     WORD  Not Known          1                          2.0   \n",
       "118274    4     WORD  Not Known          1                          0.0   \n",
       "\n",
       "        new_event_boundary  \n",
       "0                        0  \n",
       "1                        0  \n",
       "2                        0  \n",
       "3                        0  \n",
       "4                        0  \n",
       "5                        1  \n",
       "6                        1  \n",
       "7                        0  \n",
       "8                        1  \n",
       "9                        0  \n",
       "10                       0  \n",
       "11                       0  \n",
       "12                       0  \n",
       "13                       0  \n",
       "14                       1  \n",
       "15                       1  \n",
       "16                       1  \n",
       "17                       0  \n",
       "18                       1  \n",
       "19                       1  \n",
       "20                       1  \n",
       "21                       0  \n",
       "22                       1  \n",
       "23                       1  \n",
       "24                       0  \n",
       "25                       1  \n",
       "26                       0  \n",
       "27                       0  \n",
       "28                       0  \n",
       "29                       0  \n",
       "...                    ...  \n",
       "118245                   1  \n",
       "118246                   0  \n",
       "118247                   0  \n",
       "118248                   0  \n",
       "118249                   0  \n",
       "118250                   0  \n",
       "118251                   1  \n",
       "118252                   0  \n",
       "118253                   0  \n",
       "118254                   0  \n",
       "118255                   0  \n",
       "118256                   0  \n",
       "118257                   0  \n",
       "118258                   0  \n",
       "118259                   0  \n",
       "118260                   0  \n",
       "118261                   0  \n",
       "118262                   0  \n",
       "118263                   0  \n",
       "118264                   0  \n",
       "118265                   0  \n",
       "118266                   0  \n",
       "118267                   0  \n",
       "118268                   0  \n",
       "118269                   0  \n",
       "118270                   0  \n",
       "118271                   0  \n",
       "118272                   0  \n",
       "118273                   0  \n",
       "118274                   0  \n",
       "\n",
       "[118275 rows x 12 columns]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import utils\n",
    "import pandas as pd\n",
    "import datetime as dt\n",
    "import pprint\n",
    "import seaborn as sb\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import tree, model_selection\n",
    "\n",
    "\n",
    "df = pd.read_csv(\"Sessionized_SquarePanda.csv\", error_bad_lines=False)\n",
    "df\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df_1 = df.groupby(df['childid']).first()\n",
    "df_2 = df.groupby(df['childid']).last()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yQHImv/rLR3xRUEZ1Ta1Xx2vONXslnNvtJjw83Po9LCyMTz75pM395B4t5nepH+Pn50Pp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\nE8FsaQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe062e57ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = df_1.index\n",
    "Initial_Duration = df_1['duration']\n",
    "Latest_Duration = df_2['duration']\n",
    "(Initial_Duration-Latest_Duration).plot()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "\n",
    "df_1['createdat'] = pd.to_datetime(df_1['createdat'])\n",
    "df_2['createdat'] = pd.to_datetime(df_2['createdat'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from pylab import rcParams\n",
    "import seaborn as sb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ET5DAEgRB8AQJLEEQOlEhV6BCrmhqN54L6hXYtWvXYvjw4Zg8eTKXVlRUhDlz5sDV1RVz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe062842910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "rcParams['figure.figsize'] = 5,4\n",
    "sb.set_style('whitegrid')\n",
    "\n",
    "df = pd.read_csv(\"Sessionized_SquarePanda.csv\", index_col='createdat',parse_dates=True,error_bad_lines=False)\n",
    "df.head()\n",
    "df['duration'].plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>childid</th>\n",
       "      <th>session_id</th>\n",
       "      <th>gamename</th>\n",
       "      <th>duration</th>\n",
       "      <th>gender</th>\n",
       "      <th>age</th>\n",
       "      <th>wordtype</th>\n",
       "      <th>platform</th>\n",
       "      <th>gamescore</th>\n",
       "      <th>minutes_since_last_interval</th>\n",
       "      <th>new_event_boundary</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>createdat</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-11-07 20:34:00</th>\n",
       "      <td>1004</td>\n",
       "      <td>0</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>47</td>\n",
       "      <td>F</td>\n",
       "      <td>19</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-07 20:52:00</th>\n",
       "      <td>1005</td>\n",
       "      <td>0</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>7</td>\n",
       "      <td>F</td>\n",
       "      <td>7</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-07 20:53:00</th>\n",
       "      <td>1005</td>\n",
       "      <td>0</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>0</td>\n",
       "      <td>F</td>\n",
       "      <td>7</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-07 20:54:00</th>\n",
       "      <td>1005</td>\n",
       "      <td>0</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>0</td>\n",
       "      <td>F</td>\n",
       "      <td>7</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-08 00:45:00</th>\n",
       "      <td>1010</td>\n",
       "      <td>0</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>70</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     childid  session_id gamename  duration gender  age  \\\n",
       "createdat                                                                 \n",
       "2016-11-07 20:34:00     1004           0   Lagoon        47      F   19   \n",
       "2016-11-07 20:52:00     1005           0   Lagoon         7      F    7   \n",
       "2016-11-07 20:53:00     1005           0   Lagoon         0      F    7   \n",
       "2016-11-07 20:54:00     1005           0   Lagoon         0      F    7   \n",
       "2016-11-08 00:45:00     1010           0  Bubbles        70      F    4   \n",
       "\n",
       "                    wordtype   platform  gamescore  \\\n",
       "createdat                                            \n",
       "2016-11-07 20:34:00     WORD  Not Known          1   \n",
       "2016-11-07 20:52:00     WORD  Not Known          1   \n",
       "2016-11-07 20:53:00     WORD  Not Known          1   \n",
       "2016-11-07 20:54:00     WORD  Not Known          1   \n",
       "2016-11-08 00:45:00     WORD  Not Known          1   \n",
       "\n",
       "                     minutes_since_last_interval  new_event_boundary  \n",
       "createdat                                                             \n",
       "2016-11-07 20:34:00                          NaN                   0  \n",
       "2016-11-07 20:52:00                          NaN                   0  \n",
       "2016-11-07 20:53:00                          1.0                   0  \n",
       "2016-11-07 20:54:00                          1.0                   0  \n",
       "2016-11-08 00:45:00                          NaN                   0  "
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Timedelta('58 days 07:25:54.098360')"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "df['dateofactivity'] = pd.to_datetime(df.index).date\n",
    "x = df.groupby(['childid'])['dateofactivity'].first()\n",
    "y = df.groupby(['childid'])['dateofactivity'].last()\n",
    "(y-x).mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Average lifetime of a user activity is 58 days i.e. approximately 2 months"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe062d92dd0>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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OsHDhQoYPH87q1asZNmwYCxYsACAvL4+TJ0+yZs0a5syZw9NPPx1I89oF+XrX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\nODk4ODjqyP8D8ACsLjV1GG0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe061e8a590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df2 = df.sample(n=100,random_state=25,axis=0)\n",
    "plt.xlabel('Create Date')\n",
    "plt.ylabel('Duration')\n",
    "plt.title('Duration over time')\n",
    "df2['duration'].plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe062e27c10>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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1rbz9wRlOXLIfHm55fAFrFieOqtbenWi1GuZMiWLOlCj+18NzOXahjAP5RZy8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe066cc9090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df3 = df.groupby(['childid'])['session_id'].last()\n",
    "df4 = df3.sample(n=25,random_state=25,axis=0)\n",
    "plt.ylim(0,100)\n",
    "df4.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>childid</th>\n",
       "      <th>session_id</th>\n",
       "      <th>gamename</th>\n",
       "      <th>duration</th>\n",
       "      <th>gender</th>\n",
       "      <th>age</th>\n",
       "      <th>wordtype</th>\n",
       "      <th>platform</th>\n",
       "      <th>gamescore</th>\n",
       "      <th>minutes_since_last_interval</th>\n",
       "      <th>new_event_boundary</th>\n",
       "      <th>dateofactivity</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>createdat</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-11-07 20:34:00</th>\n",
       "      <td>1004</td>\n",
       "      <td>0</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>47</td>\n",
       "      <td>F</td>\n",
       "      <td>19</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-07 20:52:00</th>\n",
       "      <td>1005</td>\n",
       "      <td>0</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>7</td>\n",
       "      <td>F</td>\n",
       "      <td>7</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-07 20:53:00</th>\n",
       "      <td>1005</td>\n",
       "      <td>0</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>0</td>\n",
       "      <td>F</td>\n",
       "      <td>7</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-07 20:54:00</th>\n",
       "      <td>1005</td>\n",
       "      <td>0</td>\n",
       "      <td>Lagoon</td>\n",
       "      <td>0</td>\n",
       "      <td>F</td>\n",
       "      <td>7</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-08 00:45:00</th>\n",
       "      <td>1010</td>\n",
       "      <td>0</td>\n",
       "      <td>Bubbles</td>\n",
       "      <td>70</td>\n",
       "      <td>F</td>\n",
       "      <td>4</td>\n",
       "      <td>WORD</td>\n",
       "      <td>Not Known</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2016-11-08</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     childid  session_id gamename  duration gender  age  \\\n",
       "createdat                                                                 \n",
       "2016-11-07 20:34:00     1004           0   Lagoon        47      F   19   \n",
       "2016-11-07 20:52:00     1005           0   Lagoon         7      F    7   \n",
       "2016-11-07 20:53:00     1005           0   Lagoon         0      F    7   \n",
       "2016-11-07 20:54:00     1005           0   Lagoon         0      F    7   \n",
       "2016-11-08 00:45:00     1010           0  Bubbles        70      F    4   \n",
       "\n",
       "                    wordtype   platform  gamescore  \\\n",
       "createdat                                            \n",
       "2016-11-07 20:34:00     WORD  Not Known          1   \n",
       "2016-11-07 20:52:00     WORD  Not Known          1   \n",
       "2016-11-07 20:53:00     WORD  Not Known          1   \n",
       "2016-11-07 20:54:00     WORD  Not Known          1   \n",
       "2016-11-08 00:45:00     WORD  Not Known          1   \n",
       "\n",
       "                     minutes_since_last_interval  new_event_boundary  \\\n",
       "createdat                                                              \n",
       "2016-11-07 20:34:00                          NaN                   0   \n",
       "2016-11-07 20:52:00                          NaN                   0   \n",
       "2016-11-07 20:53:00                          1.0                   0   \n",
       "2016-11-07 20:54:00                          1.0                   0   \n",
       "2016-11-08 00:45:00                          NaN                   0   \n",
       "\n",
       "                    dateofactivity  \n",
       "createdat                           \n",
       "2016-11-07 20:34:00     2016-11-07  \n",
       "2016-11-07 20:52:00     2016-11-07  \n",
       "2016-11-07 20:53:00     2016-11-07  \n",
       "2016-11-07 20:54:00     2016-11-07  \n",
       "2016-11-08 00:45:00     2016-11-08  "
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['dateofactivity'] = df.index.date\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe062a36d10>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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YpT4qrT6+JnO4NFVXVwMAmpqaTJN+NcQUdOrXrx8AoHfv3rj11luR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\ng05ERERERERERNTm/gfFsUSrDJJpIQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe062e16410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_5 = df.groupby(['childid','dateofactivity'])['duration'].sum()\n",
    "df_5.plot(x='dateofactivity',y='duration',figsize=(20,15))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe04e70b5d0>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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aAAAAQAJZRaOyqEVDNAIAAACoXFbRyKQRAAAAQBpZRaOyKEwaAQAAACSQVTQq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\nn7wO0M+FvlkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe04e619a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_6 = df.loc[df['childid'] == 1980]\n",
    "df_6 = df_6.groupby(['dateofactivity'])['duration'].sum()\n",
    "df_6.plot(x='dateofactivity',y='duration',figsize=(20,15))\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## General analogy for the trend of duration for all users is they start at a lower pace experience an high in their playing duration and again come to a low"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe062f2b6d0>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3AAAAABJT7gAAAAAkptwBAAAASEy5AwAAAJCYcgcAAAAgMeUOAAAAQGLKHQAA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\ncLSY/wMGMef7qHl8RQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe062f5ce10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.groupby(['childid'])['gamename'].nunique().sample(n=50,random_state=25,axis=0).plot(kind='bar',figsize=(20,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "childid  session_id\n",
      "183      0                0\n",
      "         1             -329\n",
      "         2             -195\n",
      "         3              -47\n",
      "188      0                0\n",
      "         1                0\n",
      "         2             -473\n",
      "189      0                0\n",
      "         1             -388\n",
      "         2                0\n",
      "191      0              -55\n",
      "         1                0\n",
      "         2             -486\n",
      "         3              -82\n",
      "         4             -682\n",
      "193      0                0\n",
      "         1                0\n",
      "         2              -29\n",
      "         3             -245\n",
      "         4                0\n",
      "194      0                0\n",
      "196      0                0\n",
      "         1                0\n",
      "         2                0\n",
      "         3                0\n",
      "197      0                0\n",
      "         1                0\n",
      "198      0                0\n",
      "         1                0\n",
      "         2             -104\n",
      "                       ... \n",
      "3923     0             -462\n",
      "3924     0            -1472\n",
      "3925     0             -171\n",
      "3927     0             -682\n",
      "3928     0             -205\n",
      "3929     0             -499\n",
      "3930     0             -421\n",
      "3931     0             -446\n",
      "3934     0             -147\n",
      "3935     0             -282\n",
      "3936     0             -291\n",
      "         1            -2265\n",
      "3937     0             -234\n",
      "3938     0             -428\n",
      "         1            -1585\n",
      "3939     0             -566\n",
      "         1             -139\n",
      "         2             -749\n",
      "3940     0                0\n",
      "         1                0\n",
      "         2              -90\n",
      "         3              -85\n",
      "3942     0             -388\n",
      "3943     0             -576\n",
      "3944     0                0\n",
      "         1             -804\n",
      "3945     0             -287\n",
      "3946     0            -1163\n",
      "3947     0            -1284\n",
      "         1            -1047\n",
      "Name: duration, Length: 18595, dtype: int64\n",
      "Axes(0.125,0.125;0.775x0.775)\n"
     ]
    },
    {
     "data": {
      "image/png": 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MHTqUzZs3m9M3bdrEkCFDSExMZMmSJeb0AwcOMHbsWBITE5k+fToXLxYPIFJQUMC0adNI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\nKIBFRCyiABYRsYgCWETEIgpgERGL/H9j8MQdYrqC+QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe062f90310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "x = df.groupby(['childid','session_id'])['gamename','duration'].sum()\n",
    "y = df.groupby(['childid','session_id'])['gamename','duration'].first()\n",
    "z = y-x\n",
    "print z['duration']\n",
    "print z['duration'].plot()\n",
    "#print z\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# As the difference of duration of first game played by a child in one session and total duration of all games played by that child in the same session is -ve always, implies that every child spends more time playing other games than the one he started with in that session\n",
    "\n",
    "## (The other games may contain the same game the child started as his first game in the same session)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe062f52550>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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YNKMoyLU6pUMg4uUa/O96ZsefT7J5CoqysrJibWfbt2/Xnj17+pwTiUQkybWd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\nrMwpsHAb91aGKQcmU1pT4I0zWOgwBLU27pSXKa1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4Avfffz++9a1vobm5GTU1NVi6dCkm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07hjxUH8bsHLsf3n/4QAHDHz98X9uEpSS/FvV9ejv/+517uv8/OS8LdtyzFA7/Z6nOcLZ2iOMQT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\nqUMdRYQQQgghhBBCCCEEAPB/MXC8hav402kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe062f01950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot(x='dateofactivity',y='childid',figsize=(20,7))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hence childid increases in chronological order"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}