{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Le pouvoir d'achat des ouvriers anglais du XVIe au XIXe siècle\n",
"## (d'après l'étude de William Playfair) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Importation de la librairie et chargement des données."
]
},
{
"cell_type": "code",
"execution_count": 62,
"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": 63,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"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": 64,
"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": 65,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 66,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams[\"figure.figsize\"] = (12, 8) # afin que les graphiques apparaissent en grand.\n",
"plt.plot(playfair['Wheat']) "
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AQB9q6fTo1XWV+vKEgUpNiHM6Do6AMgwAANCHXl1bqbYur+ZML3A6CnqBMgwAANCHnl9ZpuE5KZpS0M/pKOgFyjAAAEAf2bSnSWvL9mnO9AIZY5yOg16gDAMAAPSRBSvL5HbF6PLJg52Ogl6iDAMAAPSBjm6vXlxVrnPHDVBGstvpOOglyjAAAEAfeGNDlZo6PLqGvYXDCmUYAACgDzy3YrcKMpM044T+TkfBUaAMAwAAHKfttS36eEe9rp6Wr5gYLpwLJ5RhAACA47SguEyuGKMrp+Y5HQVHiTIMAABwHLo8Pi0uKddZo3KUk5bgdBwcJcowAADAcfi/zdWqa+nSNdO5cC4cUYYBAACOw3MryjQgLUGnD892OgqOAWUYAADgGFXsa9fybbW6qihPsS5qVThi1AAAAI7RwpVlkqQri1giEa4owwAAAMfA67NaVFymLw3LUn5mktNxcIwowwAAAMdg+bZaVTZ2aM60Aqej4DhQhgEAAI7BghVlykx2a/aYXKej4DhQhgEAAI5SbXOn3tpUra9MGSx3LHUqnDF6AAAAR+mFknJ5fFZXs0Qi7FGGAQAAjoK1VgtW7tb0wkwNy0lxOg6OE2UYAADgKHy0vV4797bp6mlspxYJKMMAAABHYcHK3UpNiNUF4wc6HQV9gDIMAADQSw2tXXp9Q5UunTRYiW6X03HQByjDAAAAvfSn5dvV7fXpqycPcToK+ghlGAAAoBdqmjr01D936JKJgzQiN9XpOOgjlGEAAIBe+P07n8jjtbrz7BFOR0EfogwDAAAcQVl9m55bsVtXTctXYVay03HQhyjDAAAAR/Dbt7YpxhjdftZwp6Ogj1GGAQAAvsC26mYtWV2uuacUakB6gtNx0McowwAAAF/goWVbleSO1S1nnOh0FAQAZRgAAOAw1pXv0983VOmbpw1VZrLb6TgIAMowAADAYTy4dKsykuJ045eGOh0FAUIZBgAAOISPtu/V8q21um3mMKUmxDkdBwFCGQYAADiItVYPvrlFuWnx3G0uwlGGAQAADvLulloV72rQ7bOGKyHO5XQcBBBlGAAA4AA+n9Wv39yigswkXVWU73QcBNgRy7AxJt8Y844xZpMxptQYc4f/fKYxZpkxZpv/MSPwcQEAAALrb+v3aNOeJv3H7BGKczFvGOl6M8IeSXdZa0dLmiHp28aYMZLukfS2tXa4pLf9zwEAAMKWx+vTQ8u2amRuqi6aOMjpOAiCI5Zha+0ea+0q/3GzpE2SBku6RNJ8/8vmS7o0UCEBAACCYfGqcu2oa9Vd54yQK8Y4HQdBcFRz/8aYQkmTJX0sKddau0fqKcyScg7zMTcZY4qNMcW1tbXHlxYAACBAOrq9+t1b2zQxv59mj8l1Og6CpNdl2BiTImmxpDuttU29/Thr7WPW2iJrbVF2dvaxZAQAAAi4Zz/ercrGDv3g3JEyhlnhaNGrMmyMiVNPEX7GWvui/3S1MWag//0DJdUEJiIAAEBgtXZ69Mg7n+iUE/vr1GFZTsdBEPVmNwkj6QlJm6y1Dx3wrlckzfUfz5X0ct/HAwAACLx5H+zQ3tYuff/ckU5HQZDF9uI1p0r6qqT1xpg1/nP3SvqlpIXGmBsl7ZZ0ZWAiAgAABM6+ti79afl2nT06V1MK2Ck22hyxDFtr35d0uIUzs/o2DgAAQHD9afl2tXR6dNc5I5yOAgewkzQAAIhaNc0dmvfBDl08cZBGD0xzOg4cQBkGAABRyVqrX7y+WR6v1ffOZlY4WlGGAQBAVHrm491asrpC3z5zmAqzkp2OA4dQhgEAQNQp2dWg+14t1cyR2bpj1nCn48BBlGEAABBVaps7ddszJRqYnqjfXj1JMdx2Oar1Zms1AACAiODx+vSdZ1epsb1bL946Xf2S3E5HgsMowwAAIGr88u+b9fGOej189USNGcTuEWCZBAAAiBKvrq3U4+/v0NyTh+iyyXlOx0GIoAwDAICIt7W6WXcvXqepQzL0owvHOB0HIYQyDAAAIlpTR7dufrpEyfGx+sN1U+SOpf7gX/hpAAAAEcvns7pr4VqV1bfpkWunKDctwelICDGUYQAAELEe/cenWraxWvdeMFrTh2Y6HQchiDIMAAAi0j+21urBpVt0yaRBuuHUQqfjIERRhgEAQMQpq2/THc+v1sjcVP3i8vEyhhtr4NAowwAAIKJ0dHt1y19L5PVZ/fH6qUpyc1sFHB4/HQAAIGJYa/XjlzaotLJJT8wtUmFWstOREOKYGQYAABHjmY9364WSct0+a7hmjc51Og7CAGUYAABEhH9+Wqf7Xi3VzJHZunPWcKfjIExQhgEAQNjbWt2sm58uUWH/ZP1uzmTFxHDBHHqHMgwAAMJaTVOHbpi3UglxLs27YZrSE+OcjoQwQhkGAABhq7XTo2/MX6mGti7N+/o05WUkOR0JYYbdJAAAQFjyeH36zrOrtGlPsx7/WpHGDU53OhLCEDPDAAAg7Fhr9f9eKdU7W2r1s0vG6sxROU5HQpiiDAMAgLDzx39s17Mf79atM0/UdScNcToOwhhlGAAAhJWX11ToV29s1kUTB+k/zxnpdByEOcowAAAIGx9v36v/XLRO04dm6sErJ7CFGo4bZRgAAISFT2padNPTJcrLTNRjX52q+FiX05EQASjDAAAg5NU2d+rr81YozmU0/4bp6pfkdjoSIgRbqwEAgJDW1uXRN+ev1N6WLj1/0wzlZ7KXMPoOM8MAACBkeX1Wtz+3WusrGvW/10zWxPx+TkdChGFmGAAAhCRrre57tVRvbarRzy4Zq9ljcp2OhAjEzDAAAAhJf/14t/7y4S7ddPoJ+trJhU7HQYSiDAMAgJCztbpZ97+2UTNHZuue80Y5HQcRjDIMAABCSke3V7c/t1qpCbH6zRUT2UsYAcWaYQAAEFJ+9cZmba5q1ryvT1N2arzTcRDhmBkGAAAh490tNZr3wU59/ZRCnTkqx+k4iAKUYQAAEBLqWjr1/UXrNDI3VfeczzphBAfLJAAAgOOstbr7hXVq6ujWM988SQlx3GoZwcHMMAAAcNzTH+3S25trdO/5ozRyQKrTcRBFKMMAAMBRW6ub9cDfNmnmyGzNPaXQ6TiIMpRhAADgmIO3UTOGbdQQXKwZBgAAjvn1G1vYRg2OYmYYAAA44t0tNXrygx1sowZHUYYBAEDQsY0aQgXLJAAAQFCxjRpCCTPDAAAgqNhGDaGEMgwAAIKGbdQQaijDAAAgKNhGDaGINcMAACAofvn3zWyjhpDDzDAAAAi43721TU/9c6du/NJQtlFDSKEMAwCAgHrknU/08FtbdcXUPP3ogtFOxwE+hzIMAAAC5k//+FS/eXOLLps8WL/6ygTFxLBOGKGFMgwAAALi8fe26xd/36yLJg7Sb66YIBdFGCGIMgwAAPrc/H/u1P1/26QLxg/Qw1dNVKyLyoHQxE8mAADoU3/9aJd+8kqpzhmTq9/NmUwRRkjjpxMAAPSZ51fs1o9f2qCzR+fo99dOURxFGCGOn1AAANAnFhWX6YdL1mvmyGw9ct0UuWOpGQh9/JQCAIDjtmR1uX6weJ2+NCxLf7x+quJjXU5HAnqFMgwAAI7LK2srddfCtTr5hP567KtFSoijCCN8UIYBAMAx+9u6PfregjUqKszU43OLlOimCCO8UIYBAMAxeWNDle54frUm5/fTvK9PU5I71ulIwFGjDAMAgKP22rpKffe5VRqfl66nvjFdyfEUYYQnyjAAADgqT7y/Q995drUm5ffT/G9MVwpFGGGMn14AANArPp/VL/6+SX9+b4fOHzdAD189iYvlEPYowwAA4Ig6PV59f9E6vbq2UnNPHqL/d9FYuWKM07GA40YZBgAAX6ipo1s3/6VEH27fq3vOH6WbTz9BxlCEERkowwAA4LCqGjv09Xkr9ElNix6+eqIum5zndCSgT1GGAQDAIW2rbtbcJ1eosb1b826YptOGZzsdCehzlGEAAPBvVu6s141PrVR8nEsLbj5Z4wanOx0JCAjKMAAA+Jw3NuzR7c+vUV6/RM3/xnTlZyY5HQkImCPuM2yMedIYU2OM2XDAuZ8aYyqMMWv8bxcENiYAAAiG+f/cqVufWaVxg9L0wq2nUIQR8Xpz042nJJ13iPMPW2sn+d9e79tYAAAgmKy1+tUbm/WTV0o1a1SunvnmDGUmu52OBQTcEZdJWGuXG2MKAx8FAAA4oaa5Q//vpVK9UVqla08q0M8uHqtYFzepRXQ4njXD3zHGfE1SsaS7rLUNh3qRMeYmSTdJUkFBwXF8OQAA0JestVpYXKYH/rZJHd0+/fD8UbqJPYQRZY71P/selXSipEmS9kj6n8O90Fr7mLW2yFpblJ3NliwAAISCHXWtuubPH+nuxes1akCaXr/jNN18xokUYUSdY5oZttZWf3ZsjPmzpNf6LBEAAAiYbq9Pjy3frt+9vU3xsTH678vGa860fMVwa2VEqWMqw8aYgdbaPf6nl0na8EWvBwAAzlu9u0E/fHG9Nlc164LxA/TTi8YqJy3B6ViAo45Yho0xz0maKSnLGFMu6SeSZhpjJkmyknZKujmAGQEAwHFo6fTowTe3aP6HO5WbmqA/f61Is8fkOh0LCAm92U3imkOcfiIAWQAAQB97e1O1/uulDdrT1KGvzhii/zx3pFIT4pyOBYQM7kAHAEAEqm3u1H2vluq1dXs0IjdFL1x7sqYOyXQ6FhByKMMAAEQQa60WFZfrgdc3qb3Lq/+YPUK3nHGi3LHsGwwcCmUYAIAIsaOuVfe+uF4fbt+r6YWZ+u/Lx2tYTorTsYCQRhkGACDMHbxd2i8uH6+ri9guDegNyjAAAGGM7dKA40MZBgAgDLFdGtA3KMMAAISZ/9tcrR8vYbs0oC9QhgEACBMHbpc2PCdFL9zCdmnA8aIMAwAQ4tguDQgcyjAAACHKWqvl2+r00LKtWlu2j+3SgACgDAMAEIL++UlPCS7e1aDB/RL16ysm6IopeWyXBvQxyjAAACFkxY56PbRsiz7aXq8BaQm6/9JxuqoonyURQIBQhgEACAEluxr08LKtev+TOmWnxuunF43RnOkFSohzOR0NiGiUYQAAHLS2bJ8efmur3t1Sq/7Jbv34wtG6fsYQSjAQJJRhAAAcUFrZqIeXbdNbm6rVLylOd583SnNPGaIkN7+agWDibxwAAEHi8fr03rY6Pbtit5ZtrFZaQqzumj1CXz+1kJtmAA6hDAMAEGA76lq1qLhMi1eVq7qpU5nJbt0+a7hu/NJQpSdSggEnUYYBAAiA1k6PXl+/R4uKy7ViZ71ijDRzZI7uuzhPZ43KZXcIIERQhgEA6CPWWpXsatDC4jK9tm6P2rq8OiErWXefN0qXTxms3LQEpyMCOAhlGACA41Td1KHFq8r1QnG5tte1Ktnt0kUTBumqaXmaUpAhY7hRBhCqKMMAAByDLo9Pb2+q1qKScr27pUY+K00vzNStM0/UBeMHKjmeX7FAOOBvKgAAR2FzVZMWrizXS2sqVN/apdy0eN1yxom6sihfQ7OSnY4H4ChRhgEAOILGtm69srZCC4vLtb6iUXEuo9ljcnVlUb5OH54tVwzLIIBwRRkGAOAQfD6rDz6t06Licr1RWqUuj0+jBqTqJxeN0SWTBisz2e10RAB9gDIMAMABKva1a8HKMi0uKVfFvnalJ8bpmmn5urIoX2MHpXExHBBhKMMAAEjq9vr0+Hs79Nu3tqrL69Npw7N1z/mjNHtMrhLiXE7HAxAglGEAQNRbV75Pdy9er017mnTu2Fz9+MIxys9McjoWgCCgDAMAolZrp0cPLduqeR/sUFZKvP54/VSdN26A07EABBFlGAAQld7dUqMfLdmgin3tuu6kAt19/iilJcQ5HQtAkFGGAQBRpa6lUz9/baNeXlOpYTkpWnTLyZpWmOl0LAAOoQwDAKKCtVYvlJTrgdc3qbXTozvPHq5bZ56o+FgujgOiGWUYABDxdu1t1b1L1uuDT/aqaEiGfvmV8RqWk+p0LAAhgDIMAIhYXp/Vn9/broeXbZXbFaP7Lx2na6cXKIY7xgHwowwDACJSt9enuxau1StrK3Xu2Fzdd/E4DUhPcDoWgBBDGQYARJxOj1ffeXa1lm2s1g/OG6mjtQldAAAXE0lEQVTbZg5zOhKAEEUZBgBElPYur256uljvbavTfReP1dxTCp2OBCCEUYYBABGjuaNbNz5VrOJd9fr1FRN0VVG+05EAhDjKMAAgIuxr69LceStVWtGo382ZrIsmDnI6EoAwQBkGAIS9upZOXf/4x9pe26pHr5+q2WNynY4EIExQhgEAYa2qsUPXPv6RKve164mvF+m04dlORwIQRijDAICwVVbfpmsf/0gNrd36yzdO0vSh3FYZwNGhDAMAwtInNS26/vGP1eHx6tlvnaQJef2cjgQgDFGGAQBhZ9OeJl3/+McyRnr+phkaNSDN6UgAwhRlGAAQVtaU7dPcJ1coye3SM988SSdkpzgdCUAYowwDAMLGx9v36sb5xcpMduuZb56k/MwkpyMBCHMxTgcAAKA3lm+t1dx5K5SbFq+FN59MEQbQJ5gZBgCEvDdLq/TdZ1drWE6Knr5xuvqnxDsdCUCEoAwDAELay2sq9B8L12r84HTNv2G60pPinI4EIIJQhgEAIWvByt2658X1ml6YqSe+Pk0p8fzaAtC3+FcFABCS5n2wQ/e9ulFnjMjWH6+fqkS3y+lIACIQZRgAEHIeeecT/ebNLTp3bK7+95rJio+lCAMIDMowACBkWGv14NIteuSdT3XppEF68MqJinWx8RGAwKEMAwBCgrVWP3tto+Z9sFPXTC/QA5eOU0yMcToWgAhHGQYAOM7rs/rRkvV6fmWZvnHqUP3Xl0fLGIowgMCjDAMAHNXt9en7i9bq5TWV+u5Zw/Qfs0dQhAEEDWUYAOCYTo9X3312tZZurNYPzhup22YOczoSgChDGQYAOKLL49O3/lKi5Vtrdd/FYzX3lEKnIwGIQpRhAIAj7v/bRi3fWqtfXj5ec6YXOB0HQJRivxoAQNAtLinXXz7cpW+dNpQiDMBRlGEAQFBtqGjUvUvWa8YJmbr7vFFOxwEQ5SjDAICg2dfWpVufKVFGklu/v3YKN9QA4DjWDAMAgsLrs7rj+TWqauzQgptPVlZKvNORAICZYQBAcPzura36x9Za/eSisZpSkOF0HACQRBkGAATBWxur9b//94munJqn607igjkAoYMyDAAIqJ11rfrewjUaNzhNP790HHeXAxBSKMMAgIBp6/Lo5qdL5IoxevS6qUqIczkdCQA+hwvoAAABYa3VPYvXa2tNs+bfMF35mUlORwKAf8PMMAAgIOZ9sFOvrK3U988ZqdNHZDsdBwAOiTIMAOhzH2/fqwde36TZY3J16xknOh0HAA6LMgwA6FPVTR369rOrNSQzSf9z1UTFxHDBHIDQdcQybIx50hhTY4zZcMC5TGPMMmPMNv8jG0YCANTl8enWv5aorcujP351qtIS4pyOBABfqDczw09JOu+gc/dIettaO1zS2/7nAIAod//fNmrV7n36zRUTNSI31ek4AHBERyzD1trlkuoPOn2JpPn+4/mSLu3jXACAMPPiqnL95cNd+tZpQ3XhhIFOxwGAXjnWNcO51to9kuR/zDncC40xNxljio0xxbW1tcf45QAAoay0slE/fHG9ZpyQqbvPG+V0HADotYBfQGetfcxaW2StLcrOZmsdAIg0+9q6dMtfS5SR5Nbvr52iWBfXZgMIH8f6L1a1MWagJPkfa/ouEgAgXPh8VncuWKOqxg794fopykqJdzoSAByVYy3Dr0ia6z+eK+nlvokDAAgnv317m97dUqufXDRWUwrYWAhA+OnN1mrPSfpQ0khjTLkx5kZJv5Q02xizTdJs/3MAQBR5e1O1/vftbbpiap6uO6nA6TgAcExij/QCa+01h3nXrD7OAgAIEzvrWnXngjUaNzhN9186TsZwYw0A4YmrHAAAR6Wty6Obny6RK8bo0eumKiHO5XQkADhmR5wZBgDgM9Za3bN4vbbWNGv+DdOVn5nkdCQAOC7MDAMAem3eBzv1ytpK3TV7hE4fwXaZAMIfZRgA0CsrdtTrv1/fpLNH5+q2mcOcjgMAfYIyDAA4ouqmDt32zCrlZybpoasnKiaGC+YARAbWDAMAvlCXx6fbnlmlti6Pnv3WSUpLiHM6EgD0GcowAOALPfC3jSrZ1aDfXztZI3JTnY4DAH2KZRIAgMNasrpc8z/cpW9+aai+PGGQ03EAoM9RhgEAh7Sxskk/fHG9ThqaqXvOH+V0HAAICMowAODfvLulRt94aqX6Jbr1+2unKNbFrwsAkYk1wwCA/epaOvXz1zbq5TWVGpaTot/NmaTs1HinYwFAwFCGAQCy1uqFknI98PomtXZ6dOfZw3XrzBMVH8utlgFENsowAES5nXWt+tFL6/XBJ3tVNCRDv/zKeA3LYdcIANGBMgwAUarb69Pj7+3Qb9/aKrcrRvdfOk7XTi/ghhoAogplGACi0Lryfbp78Xpt2tOkc8fm6r6Lx2lAeoLTsQAg6CjDABBFWjs9emjZVs37YIeyUuL1x+un6rxxA5yOBQCOoQwDQJR4Z0uNfrxkgyr2teu6kwp09/mjuLUygKhHGQaACFfX0qmfvbpRr6yt1InZyVp0y8maVpjpdCwACAmUYQCIUAdvl3bHrOG67Uy2SwOAA1GGASACsV0aAPQOZRgAIgjbpQHA0aEMA0CEYLs0ADh6lGEACHNslwYAx44yDABh7N0tNfoR26UBwDGjDANAGKpr6dTPX9uol9dUalhOCtulAcAxogwDQBhpbOvW4+9v15Pv71CX16c7zx6uW2eyXRoAHCvKMACEgaaObs17f6cef3+7mjs8unD8QH1v9ggNy0lxOhoAhDXKMACEsNZOj5765049tny7Gtu7dc6YXH1v9giNHpjmdDQAiAiUYQAIQe1dXv3lw5360/Ltqm/t0lmjcvS9s0dofF6609EAIKJQhgEghHR0e/XMx7v16Lufqq6lU6ePyNb3zh6uyQUZTkcDgIhEGQaAENDp8WrByjI98s4nqm7q1Ckn9tej109hhwgACDDKMAA4qLyhTYtLKvT8yt3a09ihaYUZ+u3Vk3Xyif2djgYAUYEyDABB1tHt1ZulVXqhpFzvf1Ina6VTh/XXr6+YoC8Ny5IxxumIABA1KMMAEATWWm2oaNLC4jK9vKZCTR0eDe6XqDtmDddXpuQpPzPJ6YgAEJUowwAQQHtbOvXSmkotKi7T5qpmxcfG6PxxA3RVUb5mnNBfMTHMAgOAkyjDANDHPF6f3ttWp4XFZXprU7W6vVYT89J1/6XjdNHEQUpPjHM6IgDAjzIMAH1ke22LFpWUa3FJuWqaO9U/2a25JxfqyqJ8jRyQ6nQ8AMAhUIYB4Di0dHr0+ro9WlhcpuJdDYox0pkjc3RlUZ7OGpUrd2yM0xEBAF+AMgwAR8laq5U7G7SouEx/W79HbV1enZCdrHvOH6XLJw9WTlqC0xEBAL1EGQaAXqpq7NDiVeV6oaRcO+palex26eKJg3RlUZ6mFGSwJRoAhCHKMAAcgrVW+9q6VdbQpk9rW/Tymkot31orn5WmD83Ut88cpgvGD1CSm39GASCc8a84gKjV1NGt8vp2lTW0qbyhXWX1bSo/4Li1y7v/tQPSEnTbzGG6YmqeCrOSHUwNAOhLlGEAEauty6PyhnaVN7SprP6Ax309j43t3Z97fbLbpfzMJOVlJGrGCf33H+dnJGnkgFS52BMYACIOZRhA2LHWqqPbp6aObjW2d6uqsUNlBxbehnZVNLSprqXrcx8XHxujvIxE5WUkaVJ+P+VnJCkvI0n5mT2Ft19SHOt+ASDKUIYBhISWTo827WnSJzUt2tfWvb/oNrV3q6nD0/PY3nO+qd2jLq/v3z5HnMtoUL+eYnv26Nz9M7ufFd7slHjKLgDgcyjDAIKutrlTG/c0qbSyUaWVTdpY2aSde1tl7b9eExtjlJ4Yp7TP3hJiNTgjUWkJcf7zsUpL6Hlfbmq88jOTlJuWwFIGAMBRoQwDCBhrrcrq2/eX3s8ea5o7978mLyNRYwel6dJJgzV2UJpGDkhV/xS3EuNczOICAAKOMgzgmH22/Vh5Q7t/zW7bvx13enqWM7hijIZlp+jUYVkaOyhNYwalaezAdKUnxTn8XQAAohllGMDnWGvV0unZv073wHW7+9q6VLGvff+FauUN7Wrp9Hzu49MT45SXkajhOak6c2SOTshO2T/jmxDncui7AgDg0CjDQISz1qqhrVvVTR2qbupQTVNnz3Fzh/a2dPWUXf9FaT2P3fLZw3++g7cfy8tI/NyFaumJzPQCAMIHZRgIU91en+pbu1Tb3Km9rV2qa+5UTXPn/tLb89ap2ubOQ+68kJEUp/4p8UpPjFNOaoKGZccqLdF/cVpCzwVq/zr+/HnW8gIAIgVlGAghXp/V3pZOVftnb+taeopubXOn6lo+e+vS3pZONbR1H/JzpCbEKjctQblp8TppaKZy/MefnctJTVB2ajxLFgAAEGUYCIrDLVWo8s/e1jT3nK9t7jzkEoWU+FhlpbiVlRKvYdkpmnFCprJS4v1v7v3HOWnxSnLz1xoAgN7itybQBz4ruwfupnDgLYAP3FXhQBlJccpNS1BOWoJGDUjdf5ybGq9s/1tWCrO4AAAECmUY6KWObq/K6tu0c2+bdu1tVXlD++cKb2uX93Ov75cUp/yMJI3ITdVZo3I0qF/i55Yq5KTFKz6WkgsAgJMow8ABWjs92uUvuzv3tml3fat21vU839PU8bk7pH22q0J+ZpJOGda/55a/B+yskJrArgoAAIQ6yjCiQqfHq70tXT0XpLV0qfazi9Gae87taWzXzr1tqj3gzmiSlJXiVkFmkmac0F9D+ierMCtJBZlJGtI/WRlJceyqAABAmKMMIyJ4fVaf1rZoXXmjSisb/TsxdPkLb6eaOjyH/Lhkt0tZqT07LZw1MkcF/ZNU2D9ZQ/onaUj/JGZ3AQCIcJRhhB2fz2rn3latK2/UuvJGra/Ypw0VTWrv7lmzm+R2aWB6grJS4jV6QJqyhvl3W0j9990XEt2s2QUAIJpRhhHSfD6r8oZ2ravYp/X+8ruholHN/lsAJ8TFaOygdF09LV8T8tI1Ia+fTshKVkwMyxcAAMCRUYbhGGutmto9qmxs157GdlXu61Dlvnbtaex5rGxsV1Vjh7q9PVetuV0xGj0oTZdOHqzxeemakJeuYdkpinXFOPydAACAcEUZRkAcfCe16uaem0tUN3b4y2+H9uxr/7ftyGJjjHLTEjS4X6KmFGRoYHqiCjKTNCEvXSNyU+WOpfgCAIC+QxnGUen0ePffDriupVO1zZ2qaers1Z3UjJGyUuI1MD1Bw7JTdNrwLA1KT9Sgfoka2K+nAGelxMvFEgcAABAklGHst6OuVVuqmrW39V9bjn22FVldS6dqWzrVfJhdGTKT3crx78pw8J3Uem40kaCsFDdLGgAAQEihDEe5htYuvbauUi+sqtDasn2fe1+/pDhlpcSrf7Jbowel6fQDdmLof8Axd1IDAADhijIchbo8Pr27pUYvrqrQ25ur1e21GjUgVT++cLRmnNBfWSnxykx2sz4XAABEPMpwlLDWakNFkxavKtcraytV39qlrBS3vnZyob4yJU9jBqU5HREAACDoKMMRrqqxQy+tqdCLq8q1tbpF7tgYzR6Tq69MGazTh2ezhhcAAEQ1ynCEaOvyqLyhXWX1bfsfN1U16cNP98pnpalDMvTfl43XheMHKj2JWwwDAABIlOGQZ61Vp8enjm6v9rZ2fb7wNrSp3H+8t7Xrcx+XEBejIZnJ+s6Zw3T5lDwVZiU79B0AAACEruMqw8aYnZKaJXkleay1RX0RKhz5fFZt3V61dnrU0uk54PHz53qOe861d3vV3u1Vh/+tvdur9i6vOrp9+8+3d3tl7b9/vTiX0eB+icrPTNI5g9KVl9FznJeRqPyMJGWluGUM+/UCAAB8kb6YGT7TWlvXB58naKy1auvyqqmjW43t3Wpq96ip3X/c0fO8rcvzr4La7VN7l1ednp6y+lmJ7fSX1vYurzo8hy6tBzNGSnHHKinepSR3rBLiXEqMi1Gi26W0hDgluF1KjHMpIS5GiXH+Y7dLCbEu9UuK2194c1MTFMPNKQAAAI5LxC+TeG9brf70j+3+ktutpo6e4us5+PZoB4mP7SmoCbGunscDSmu/pDjF+4tqYty/3p8S71JyfKxS4mOV7I7913G8y/8YqyS3ixlbAACAEHG8ZdhKWmqMsZL+ZK197OAXGGNuknSTJBUUFBznlzt6Xp9VW5dHmcluFfZPVlpirNIT45SWEKc0/2N6YpzSEmMPOBfLLgsAAABRwNje/L/9w32wMYOstZXGmBxJyyR911q7/HCvLyoqssXFxcf89QAAAIDeMMaU9OZ6tuOa/rTWVvofayQtkTT9eD4fAAAAEEzHXIaNMcnGmNTPjiWdI2lDXwUDAAAAAu141gznSlrivxgsVtKz1to3+iQVAAAAEATHXIattdslTezDLAAAAEBQsWUCAAAAohZlGAAAAFGLMgwAAICoRRkGAABA1KIMAwAAIGpRhgEAABC1KMMAAACIWpRhAAAARC3KMAAAAKIWZRgAAABRizIMAACAqEUZBgAAQNSiDAMAACBqUYYBAAAQtYy1NnhfzJhaSbuC9gX/JUtSnQNfF85hzKML4x1dGO/ownhHn74a8yHW2uwjvSioZdgpxphia22R0zkQPIx5dGG8owvjHV0Y7+gT7DFnmQQAAACiFmUYAAAAUStayvBjTgdA0DHm0YXxji6Md3RhvKNPUMc8KtYMAwAAAIcSLTPDAAAAwL+hDAMAACBqRXwZNsacZ4zZYoz5xBhzj9N50LeMMU8aY2qMMRsOOJdpjFlmjNnmf8xwMiP6jjEm3xjzjjFmkzGm1Bhzh/88Yx6BjDEJxpgVxpi1/vG+z3+e8Y5gxhiXMWa1MeY1/3PGO4IZY3YaY9YbY9YYY4r954I65hFdho0xLkmPSDpf0hhJ1xhjxjibCn3sKUnnHXTuHklvW2uHS3rb/xyRwSPpLmvtaEkzJH3b/3eaMY9MnZLOstZOlDRJ0nnGmBlivCPdHZI2HfCc8Y58Z1prJx2wt3BQxzyiy7Ck6ZI+sdZut9Z2SXpe0iUOZ0IfstYul1R/0OlLJM33H8+XdGlQQyFgrLV7rLWr/MfN6vmFOViMeUSyPVr8T+P8b1aMd8QyxuRJulDS4wecZryjT1DHPNLL8GBJZQc8L/efQ2TLtdbukXrKk6Qch/MgAIwxhZImS/pYjHnE8v8v8zWSaiQts9Yy3pHtt5J+IMl3wDnGO7JZSUuNMSXGmJv854I65rGB/OQhwBziHHvJAWHOGJMiabGkO621TcYc6q86IoG11itpkjGmn6QlxphxTmdCYBhjviypxlpbYoyZ6XQeBM2p1tpKY0yOpGXGmM3BDhDpM8PlkvIPeJ4nqdKhLAieamPMQEnyP9Y4nAd9yBgTp54i/Iy19kX/acY8wllr90l6Vz3XCDDekelUSRcbY3aqZ1njWcaYv4rxjmjW2kr/Y42kJepZ4hrUMY/0MrxS0nBjzFBjjFvSHEmvOJwJgfeKpLn+47mSXnYwC/qQ6ZkCfkLSJmvtQwe8izGPQMaYbP+MsIwxiZLOlrRZjHdEstb+0FqbZ60tVM/v6/+z1l4vxjtiGWOSjTGpnx1LOkfSBgV5zCP+DnTGmAvUswbJJelJa+0DDkdCHzLGPCdppqQsSdWSfiLpJUkLJRVI2i3pSmvtwRfZIQwZY74k6T1J6/WvNYX3qmfdMGMeYYwxE9Rz8YxLPZM3C621PzPG9BfjHdH8yyS+b639MuMduYwxJ6hnNljqWbr7rLX2gWCPecSXYQAAAOBwIn2ZBAAAAHBYlGEAAABELcowAAAAohZlGAAAAFGLMgwAAICoRRkGAABA1KIMAwAAIGr9f+PHPJszvBhqAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams[\"figure.figsize\"] = (12, 8) # afin que les graphiques apparaissent en grand.\n",
"plt.plot(playfair['Wages'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On prend l'année comme index. "
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"playfair.set_index('Year'); # ; suppress output"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On n'a plus besoin de la colonne qui numérote les observations"
]
},
{
"cell_type": "code",
"execution_count": 69,
"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": 70,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\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": 71,
"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": 72,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 72,
"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. En outre. D'autre part, il n'y a pas dans librairie de matplotlib la possibilité native 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": 73,
"metadata": {},
"outputs": [],
"source": [
"# on définit ces variables pour alléger l'écriture par la suite\n",
"t = playfair['Year']\n",
"wheat = playfair['Wheat']\n",
"wages = playfair['Wages']"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams[\"figure.figsize\"] = (12, 8) # afin que les graphiques apparaissent en grand.\n",
"plt.bar(t,wheat,width=2,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='blue') # 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": "markdown",
"metadata": {},
"source": [
"Ci dessous, le graphique avec deux échelles séparées. \n",
"\n",
"Remarque: j'ai repris et adapté un exemple trouvé sur Internet."
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams[\"figure.figsize\"] = (12, 8) # afin que les graphiques apparaissent en grand.\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,linewidth=3)\n",
"ax1.tick_params(axis='y', labelcolor=color)\n",
"\n",
"ax2 = ax1.twinx() # pour partager le même axe des x\n",
"\n",
"color = 'tab:blue'\n",
"ax2.set_ylabel('shillings par semaine', color=color) # deuxième label sur l'axe des y\n",
"ax2.plot(t, wages, color=color,linewidth=3)\n",
"ax2.tick_params(axis='y', labelcolor=color)\n",
"\n",
"plt.title('pouvoir d\\'achat des ouvriers anglais du XVIe au XIXe siècle')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On va présenter en kg la quantité de blé que un ouvrier peut acheter par semaine avec son évolution au cours des années (formule : facteur_de_conversion_en_kg_du_boisseau*(salaire / prix_du_boisseau). Définissons cela comme le pouvoir d'achat. On voit que cette évolution est plus ou moins croissante, sauf à la fin de la courbe."
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams[\"figure.figsize\"] = (12, 8) # afin que les graphiques apparaissent en grand.\n",
"plt.plot(t,6.8*(wages/wheat),color='red', linewidth=2)\n",
"plt.title('Pouvoir d\\'achat')\n",
"plt.xlabel('Années')\n",
"plt.ylabel('Kilogramme de blé')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On fait un nuage de points pour explorer un lien entre les variables salaire et prix du blé. On fait apparaitre l'année près de chaque points"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams[\"figure.figsize\"] = (12, 8) # afin que les graphiques apparaissent en grand.\n",
"plt.scatter(wages[:-2], wheat[:-2])\n",
"for i, txt in enumerate(t[:-2]):\n",
" plt.annotate(txt, (wages[i], wheat[i]))\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. Si on prend toutes les observations complètes (sans NaN) on a une correlation significative positive entre salaire et prix du blé.\n",
"\n",
"Cependant lorsque l'on écarte les 4 dernières observations complètes ce lien disparait. Voir ci-dessous la p value de la deuxième régression linéaire. \n",
"\n",
"Si on écarte toujours les 4 dernières observations, on observe une relative stabilité générale du prix du boisseau de blé (de 30 à 50) et au cours des années un glissement des salaires le long de l'axe des abscisses. "
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.58 0.0000\n",
"-0.03 0.8648\n"
]
}
],
"source": [
"from scipy import stats\n",
"_, _, r_value, p_value, _ = stats.linregress(wages[:-2], wheat[:-2]) # 2 dernières valeurs de wages NaN\n",
"print( \"%.2f\" % r_value,\"%.4f\" % p_value)\n",
"_, _, r_value, p_value, _ = stats.linregress(wages[:-6], wheat[:-6]) # en écartant les 6 dernières valeurs\n",
"print( \"%.2f\" % r_value,\"%.4f\" % p_value)"
]
},
{
"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. \n",
"\n",
"Remarque: le graphique indiquant l'évolution du pouvoir d'achat est plus intéressant que celui du nuage de points. Cependant, l'examen du nuage de point permet d'écarter une corrélation entre les variables salaire et prix du blé."
]
}
],
"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
}