{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Playfair analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Importation de la librairie et chargement des données."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "playfair = pd.read_csv(\"https://raw.githubusercontent.com/vincentarelbundock/Rdatasets/master/csv/HistData/Wheat.csv\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On regarde le début et la fin du dataframe pour avoir un premier sentiment sur les données"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "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>Unnamed: 0</th>\n",
       "      <th>Year</th>\n",
       "      <th>Wheat</th>\n",
       "      <th>Wages</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1565</td>\n",
       "      <td>41.0</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>1570</td>\n",
       "      <td>45.0</td>\n",
       "      <td>5.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>1575</td>\n",
       "      <td>42.0</td>\n",
       "      <td>5.08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>1580</td>\n",
       "      <td>49.0</td>\n",
       "      <td>5.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>1585</td>\n",
       "      <td>41.5</td>\n",
       "      <td>5.15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0  Year  Wheat  Wages\n",
       "0           1  1565   41.0   5.00\n",
       "1           2  1570   45.0   5.05\n",
       "2           3  1575   42.0   5.08\n",
       "3           4  1580   49.0   5.12\n",
       "4           5  1585   41.5   5.15"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "playfair.head()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "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>Unnamed: 0</th>\n",
       "      <th>Year</th>\n",
       "      <th>Wheat</th>\n",
       "      <th>Wages</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>49</td>\n",
       "      <td>1805</td>\n",
       "      <td>81.0</td>\n",
       "      <td>29.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>50</td>\n",
       "      <td>1810</td>\n",
       "      <td>99.0</td>\n",
       "      <td>30.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>51</td>\n",
       "      <td>1815</td>\n",
       "      <td>78.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>52</td>\n",
       "      <td>1820</td>\n",
       "      <td>54.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>53</td>\n",
       "      <td>1821</td>\n",
       "      <td>54.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Unnamed: 0  Year  Wheat  Wages\n",
       "48          49  1805   81.0   29.5\n",
       "49          50  1810   99.0   30.0\n",
       "50          51  1815   78.0    NaN\n",
       "51          52  1820   54.0    NaN\n",
       "52          53  1821   54.0    NaN"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "playfair.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Comme il n'y a pas beaucoup de données on peut vérifier la qualité par de simples graphiques.\n",
    "\n",
    "On importe matplotlib et on visualise les deux variables principales; on ne constate pas de valeurs anormales. La variabilité du prix du blé est plus grande que celle des salaires. Cela parait normal. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams[\"figure.figsize\"] = (12, 8) # afin que les graphiques apparaissent en grand."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fec3f8051d0>]"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(playfair['Wheat'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fec3f617668>]"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(playfair['Wages'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On prend l'année comme index. Cela permettra que l'année figure comme abscice dans les graphiques"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "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>Unnamed: 0</th>\n",
       "      <th>Wheat</th>\n",
       "      <th>Wages</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Year</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1565</th>\n",
       "      <td>1</td>\n",
       "      <td>41.0</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1570</th>\n",
       "      <td>2</td>\n",
       "      <td>45.0</td>\n",
       "      <td>5.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1575</th>\n",
       "      <td>3</td>\n",
       "      <td>42.0</td>\n",
       "      <td>5.08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1580</th>\n",
       "      <td>4</td>\n",
       "      <td>49.0</td>\n",
       "      <td>5.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1585</th>\n",
       "      <td>5</td>\n",
       "      <td>41.5</td>\n",
       "      <td>5.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1590</th>\n",
       "      <td>6</td>\n",
       "      <td>47.0</td>\n",
       "      <td>5.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1595</th>\n",
       "      <td>7</td>\n",
       "      <td>64.0</td>\n",
       "      <td>5.54</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1600</th>\n",
       "      <td>8</td>\n",
       "      <td>27.0</td>\n",
       "      <td>5.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1605</th>\n",
       "      <td>9</td>\n",
       "      <td>33.0</td>\n",
       "      <td>5.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1610</th>\n",
       "      <td>10</td>\n",
       "      <td>32.0</td>\n",
       "      <td>5.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1615</th>\n",
       "      <td>11</td>\n",
       "      <td>33.0</td>\n",
       "      <td>5.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1620</th>\n",
       "      <td>12</td>\n",
       "      <td>35.0</td>\n",
       "      <td>6.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1625</th>\n",
       "      <td>13</td>\n",
       "      <td>33.0</td>\n",
       "      <td>6.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1630</th>\n",
       "      <td>14</td>\n",
       "      <td>45.0</td>\n",
       "      <td>6.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1635</th>\n",
       "      <td>15</td>\n",
       "      <td>33.0</td>\n",
       "      <td>6.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1640</th>\n",
       "      <td>16</td>\n",
       "      <td>39.0</td>\n",
       "      <td>6.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1645</th>\n",
       "      <td>17</td>\n",
       "      <td>53.0</td>\n",
       "      <td>6.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1650</th>\n",
       "      <td>18</td>\n",
       "      <td>42.0</td>\n",
       "      <td>6.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1655</th>\n",
       "      <td>19</td>\n",
       "      <td>40.5</td>\n",
       "      <td>6.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1660</th>\n",
       "      <td>20</td>\n",
       "      <td>46.5</td>\n",
       "      <td>6.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1665</th>\n",
       "      <td>21</td>\n",
       "      <td>32.0</td>\n",
       "      <td>6.80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1670</th>\n",
       "      <td>22</td>\n",
       "      <td>37.0</td>\n",
       "      <td>6.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1675</th>\n",
       "      <td>23</td>\n",
       "      <td>43.0</td>\n",
       "      <td>7.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1680</th>\n",
       "      <td>24</td>\n",
       "      <td>35.0</td>\n",
       "      <td>7.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1685</th>\n",
       "      <td>25</td>\n",
       "      <td>27.0</td>\n",
       "      <td>7.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1690</th>\n",
       "      <td>26</td>\n",
       "      <td>40.0</td>\n",
       "      <td>8.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1695</th>\n",
       "      <td>27</td>\n",
       "      <td>50.0</td>\n",
       "      <td>8.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700</th>\n",
       "      <td>28</td>\n",
       "      <td>30.0</td>\n",
       "      <td>9.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1705</th>\n",
       "      <td>29</td>\n",
       "      <td>32.0</td>\n",
       "      <td>10.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1710</th>\n",
       "      <td>30</td>\n",
       "      <td>44.0</td>\n",
       "      <td>11.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1715</th>\n",
       "      <td>31</td>\n",
       "      <td>33.0</td>\n",
       "      <td>11.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1720</th>\n",
       "      <td>32</td>\n",
       "      <td>29.0</td>\n",
       "      <td>12.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1725</th>\n",
       "      <td>33</td>\n",
       "      <td>39.0</td>\n",
       "      <td>13.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1730</th>\n",
       "      <td>34</td>\n",
       "      <td>26.0</td>\n",
       "      <td>13.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1735</th>\n",
       "      <td>35</td>\n",
       "      <td>32.0</td>\n",
       "      <td>13.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1740</th>\n",
       "      <td>36</td>\n",
       "      <td>27.0</td>\n",
       "      <td>14.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1745</th>\n",
       "      <td>37</td>\n",
       "      <td>27.5</td>\n",
       "      <td>14.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1750</th>\n",
       "      <td>38</td>\n",
       "      <td>31.0</td>\n",
       "      <td>15.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1755</th>\n",
       "      <td>39</td>\n",
       "      <td>35.5</td>\n",
       "      <td>15.70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1760</th>\n",
       "      <td>40</td>\n",
       "      <td>31.0</td>\n",
       "      <td>16.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1765</th>\n",
       "      <td>41</td>\n",
       "      <td>43.0</td>\n",
       "      <td>17.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1770</th>\n",
       "      <td>42</td>\n",
       "      <td>47.0</td>\n",
       "      <td>18.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1775</th>\n",
       "      <td>43</td>\n",
       "      <td>44.0</td>\n",
       "      <td>19.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1780</th>\n",
       "      <td>44</td>\n",
       "      <td>46.0</td>\n",
       "      <td>21.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1785</th>\n",
       "      <td>45</td>\n",
       "      <td>42.0</td>\n",
       "      <td>23.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1790</th>\n",
       "      <td>46</td>\n",
       "      <td>47.5</td>\n",
       "      <td>25.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1795</th>\n",
       "      <td>47</td>\n",
       "      <td>76.0</td>\n",
       "      <td>27.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1800</th>\n",
       "      <td>48</td>\n",
       "      <td>79.0</td>\n",
       "      <td>28.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1805</th>\n",
       "      <td>49</td>\n",
       "      <td>81.0</td>\n",
       "      <td>29.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1810</th>\n",
       "      <td>50</td>\n",
       "      <td>99.0</td>\n",
       "      <td>30.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1815</th>\n",
       "      <td>51</td>\n",
       "      <td>78.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1820</th>\n",
       "      <td>52</td>\n",
       "      <td>54.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1821</th>\n",
       "      <td>53</td>\n",
       "      <td>54.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Unnamed: 0  Wheat  Wages\n",
       "Year                          \n",
       "1565           1   41.0   5.00\n",
       "1570           2   45.0   5.05\n",
       "1575           3   42.0   5.08\n",
       "1580           4   49.0   5.12\n",
       "1585           5   41.5   5.15\n",
       "1590           6   47.0   5.25\n",
       "1595           7   64.0   5.54\n",
       "1600           8   27.0   5.61\n",
       "1605           9   33.0   5.69\n",
       "1610          10   32.0   5.78\n",
       "1615          11   33.0   5.94\n",
       "1620          12   35.0   6.01\n",
       "1625          13   33.0   6.12\n",
       "1630          14   45.0   6.22\n",
       "1635          15   33.0   6.30\n",
       "1640          16   39.0   6.37\n",
       "1645          17   53.0   6.45\n",
       "1650          18   42.0   6.50\n",
       "1655          19   40.5   6.60\n",
       "1660          20   46.5   6.75\n",
       "1665          21   32.0   6.80\n",
       "1670          22   37.0   6.90\n",
       "1675          23   43.0   7.00\n",
       "1680          24   35.0   7.30\n",
       "1685          25   27.0   7.60\n",
       "1690          26   40.0   8.00\n",
       "1695          27   50.0   8.50\n",
       "1700          28   30.0   9.00\n",
       "1705          29   32.0  10.00\n",
       "1710          30   44.0  11.00\n",
       "1715          31   33.0  11.75\n",
       "1720          32   29.0  12.50\n",
       "1725          33   39.0  13.00\n",
       "1730          34   26.0  13.30\n",
       "1735          35   32.0  13.60\n",
       "1740          36   27.0  14.00\n",
       "1745          37   27.5  14.50\n",
       "1750          38   31.0  15.00\n",
       "1755          39   35.5  15.70\n",
       "1760          40   31.0  16.50\n",
       "1765          41   43.0  17.60\n",
       "1770          42   47.0  18.50\n",
       "1775          43   44.0  19.50\n",
       "1780          44   46.0  21.00\n",
       "1785          45   42.0  23.00\n",
       "1790          46   47.5  25.50\n",
       "1795          47   76.0  27.50\n",
       "1800          48   79.0  28.50\n",
       "1805          49   81.0  29.50\n",
       "1810          50   99.0  30.00\n",
       "1815          51   78.0    NaN\n",
       "1820          52   54.0    NaN\n",
       "1821          53   54.0    NaN"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "playfair.set_index('Year')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On n'a plus besoin de la colonne qui numérote les observations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "playfair=playfair.drop(columns='Unnamed: 0')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On vérifie le type des variables et le nombre de variables non nulles. Les 3 NaN du salaire correspondent aux trois dernières observations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 53 entries, 0 to 52\n",
      "Data columns (total 3 columns):\n",
      "Year     53 non-null int64\n",
      "Wheat    53 non-null float64\n",
      "Wages    50 non-null float64\n",
      "dtypes: float64(2), int64(1)\n",
      "memory usage: 1.3 KB\n"
     ]
    }
   ],
   "source": [
    "playfair.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Les années vont de 5 en 5 sauf la dernière qui a les mêmes valeurs que l'avant dernière. On élimine donc la dernière observation qui n'apporte rien. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "playfair=playfair[:-1]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " On vérifie que les années vont bien de de 5 en 5 et qu'il y a pas d'anomalies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "playfair['Year'].tolist()==list(range(1565,1825,5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Voici le graphique, il est moins beau que celui crée par William Playfair car je ne maitrise pas matplotlib. Tout d'abord, je ne comprends pas pourquoi le 'plot' et 'fill_between' exécutés après le 'bar' ne recouvrent pas le bas des barres. D'autre part, lorsque l'on spécifie 'blue' comme couleur, les barres grises apparaissent décalées. En outre, il n'y a pas dans librairie de matplotlib la possibilité de faire apparaitre un gradient dans les barres comme c'est sur le graphique de William Playfair. Enfin, je ne connais pas bien pandas et je ne sais pas s'il est possible de simplifier le code en créant le graphique directement depuis pandas.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [],
   "source": [
    "t = playfair['Year']\n",
    "wheat = playfair['Wheat']\n",
    "wages = playfair['Wages']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(t,wheat,width=2.5,label='quart de boisseau de blé',color='grey')\n",
    "plt.plot(t,wages,label='salaire par semaine',color='red', linewidth=6)\n",
    "plt.fill_between(t,wages,color='yellow') # color='blue' donne une bug sur le graphe\n",
    "plt.xlabel('Années')\n",
    "plt.ylabel('Shillings')\n",
    "plt.legend()\n",
    "plt.title('pouvoir d\\'achat des ouvriers anglais du XVIe au XIXe siècle')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "color = 'tab:red'\n",
    "ax1.set_xlabel('années')\n",
    "ax1.set_ylabel('shillings par quart de boisseau de blé', color=color)\n",
    "ax1.plot(t, wheat, color=color)\n",
    "ax1.tick_params(axis='y', labelcolor=color)\n",
    "\n",
    "ax2 = ax1.twinx()  # instantiate a second axes that shares the same x-axis\n",
    "\n",
    "color = 'tab:blue'\n",
    "ax2.set_ylabel('shillings par semaine', color=color)  # we already handled the x-label with ax1\n",
    "ax2.plot(t, wages, color=color)\n",
    "ax2.tick_params(axis='y', labelcolor=color)\n",
    "\n",
    "fig.tight_layout()  # otherwise the right y-label is slightly clipped\n",
    "plt.title('pouvoir d\\'achat des ouvriers anglais du XVIe au XIXe siècle')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "On fait un nuage de points pour explorer un lien entre les variables salaire et prix du blé."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.scatter(wages, wheat)\n",
    "plt.title('relation entre salaire et prix du boisseau de blé')\n",
    "plt.xlabel('salaire')\n",
    "plt.ylabel('prix du boisseau de blé')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On pourrait penser à un lien entre salaire et prix du blé. Cependant lorsque l'on écarte les 4 dernières observations complètes ce lien disparait. Voir ci-dessous la p value de la deuxième régression linéaire. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.1773237582646006 28.504707161282703 0.5804770220993162 9.922208590956928e-06 0.23837583417931185\n",
      "-0.03869995289807287 38.91175052531497 -0.02580813850189855 0.8648132219376652 0.2259866249749439\n"
     ]
    }
   ],
   "source": [
    "from scipy import stats\n",
    "slope, intercept, r_value, p_value, std_err = stats.linregress(wages[:-2], wheat[:-2]) # 2 dernières valeurs de wages NaN\n",
    "print(slope, intercept, r_value, p_value, std_err)\n",
    "slope, intercept, r_value, p_value, std_err = stats.linregress(wages[:-6], wheat[:-6]) # en écartant les 6 dernières valeurs\n",
    "print(slope, intercept, r_value, p_value, std_err)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t,6.8*wages/wheat,label='pouvoir d\\'achat',color='red', linewidth=2)\n",
    "plt.title('quantité de blé qu\\'un ouvrier anglais pouvait acheter par semaine')\n",
    "plt.xlabel('Années')\n",
    "plt.ylabel('Kilogramme de blé')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "On remarque que le pouvoir d'achat de l'ouvrier, compté en kg de blé (denré principale de l'époque) a considérablement augmenté (par un facteur 3) entre le XVIe au XIXe siècle. L'essentiel de cette progression est entre les années 1650 et 1750. Enfin cette progression stagne entre les années 1795 et 1810 où le prix du blé augmente. Cela est probablement causé par la révolution française et les guerres napoléoniennes. "
   ]
  },
  {
   "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": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}