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@filiafobico
Created October 19, 2020 14:35
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Introdução\n",
"Nesse artigo simples, tentarei explicar sucintamente o que é uma regressão linear e mostrar uma aplicação em Python. \n",
"\n",
"> Esse texto foi escrito como anotação de um conteúdo que estou estudando, logo, não tenho o domínio do tema. Então, caso você encontre algum problema ou tenha uma sugestão, entre em contato e vamos aprender juntos :)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Regressão Linear (Simples e Múltipla)\n",
"De forma resumida a análise de regressão estuda a relação entre uma variável chamada a variável dependente (ou target) e uma ou mais chamadas de independentes (ou preditora). \n",
"A relação entre a variável depentende e **uma** variável independente é chamada de *Regressão Linear Simples* e, quando há mais variáveis independentes, *Regressão Linear Múltipla*."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exemplo\n",
"\n",
"Vou descrever um caso simples com imagens para melhor elucidar os conceitos\n",
" \n",
"A porcentagem de adultos fumantes vem diminuindo com o passar do tempo. \n",
"O gráfico a seguir demonstra essa relação:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gráfico de Regressão Linear Simples"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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du3eHDh2qoaHBZrOtrKzwu4t6tcFIcD3skycsloabu4abu6arO0Xn7wvSd+v5d+v5CKF3dDRC7FHPL32y2WwPDw98jDGHw2GxWD4+PhkZGT38FgCAbsz5M2bMmKtXryKE7O3tO7y1qDeKi4vDSgW35rN4u+K4/u5NiesErCzp9zx43brqZpnVr7cW5ZUeLautbxURaIjL5c6ZM6f9zRKZmZlQ3xOAnuvGfpmpqem2bdt4PB5C6Ny5cw8ePJB+dcGCBTLumvxxudyUlBQqlSo9OK41n9Waz+Lv37b20MkKE+a5l//OGdCT8Rzp6ekcDqfDl+Lj4yHOAOihbmTZxo0bg4KCTp8+jRDasGFDm1d7Y5ax2WyEUIejfCWvG3VvXTuwafKTl9WXG4SHnvN6OJ4Da6sz9+/fNzc37/43AAD8rRtZtnz58vHjxxcWFvr7+3/11VcmJiby65bq0FOjfDhAd/lwSxjPAYAq6951zBEjRowYMaK2tnbNmjVqar3+HiAmk9nFq9hU3bgejudwdHQ8cOBA+1YoFIpEIrG3t1fYDIIAkBKR+f7Dw8NJEGQIISaTOXv27A5fsrS0dHd37/AlbDzH7fdGXJ5qv8LW1FwqtrBQczxzd9LF+2klVU//CTuEUEBAAIPRwaGoRCIJDQ3t0dcAABDLMjJJT093cHBos5DBYGRmZhoYGHT92ZEG2lioHRpnvcDSSF/93415t56/6VY5FmrYpU8DA4P09HR9ff02K3FwcIAT/wD0nMplWV5e3p07dxobG3tYp+4tGRgYsFis2NhYS0tLhBCDwfD392ez2W0OMLs208wg1YXJme2IhZr0S9j8HNh4Dr7Tuzm5l/E9QUtLy9jYWDab/cbQBAC8EZH5yxBCz58/z8nJqamp2bBhw4MHDywsLOh0OoH1HD9+PD8/n8Ph2Nvbb9myhUKhBAcHp6WlIYSmTJny888/S1cDwHU2f5nMEZs9CruVvc38HLjOxnPA9Fs9BBuwh/ri/GXXr1/38vKqr69HCG3YsCEyMtLW1nb79u3dXQ+PxwsPD79y5Yq5ubmuru7EiRO9vLwoFEphYaGenp6trS2BvqkCmJ8DAMUjeO5/2rRpeJErLy+vEydOEFiPurq6vb29SCTS1NSkUCjYmHgqlerk5NR7g0waFmpXp9mz3xvx5Sjz4Yx/R2xg4zkW5ZU6nLm76Vb5HS6/i/UAAN6IyH7ZrVu3tm7dOnDgQOzpwIEDa2pqCKxHU1Pz0qVLCKGsrCxzc3NsuloKhRIbGysSiSoqKlJTU7W1yTBi623GcwzSUp9iSAuy07bvlTv4ACgZkfNlTCbT19c3MTERGxu1ZMmS/Px8AjXlMAkJCUeOHElISMCy7NixY56enoaGhqGhoTQaLTExEXtbamoqXus3Ojqaz+dHRETgJ+kCAwM1NXvTFD0PXgszq/mX6pqfC9re3TmUru5jqj3FSGsQjQwDXwApqWCtXyLHmOvWrdu6deuQIUMQQqNGjdq/f394eDjhHmzcuPHatWtLliw5efIkQmjBggXY+X4bG5usrH/v8a6qqnrxD2xJbW1t1T+IXcFQond01Dcw9S44m6QMNfjAREtX6u/wkCf8htPoWVj94a2aU9X8RtGbv9q5c+c++uijsWPHenp6rl27VraFsgDoHSTdJxaLt27damlpSaFQLC0t9+7dS2AlEomkuLg4JiZGLBZLJJIJEyZ88MEHjY2NFhYWt2/flkgk27dvd3Bw6PCDRkZGCKGamhpi7b49gUBQUVGhgIYkEslPJZX+l+8Z/lzQ/r+P/yj5kVPDbRF2+MGAgIA2f1MGg5GRkdFFWxUVFRUVFfL5Hv+hyA3Y0NBQUVHR0NCggLZgA6ogIvtlFAolIiKCw+EIhUIOh7N06VJiMfr7778fOnRIIBCIxeLy8nJXV1dNTc2BAwdaWVkhhPLy8nx9fYmtuTfyNNX9ytbgzhSbXS6W7w38z8XN05X12CC1VTfLTlf+Z5xHenp6enp6m9sw6uvrAwMD4aYo0KcQOV8WERHRfuG3337b3fW0tLRERkby+fyXL19aWlpu3bpVU1Pz9OnTJ06cEAqFpqam33zzjYaGRvsPqvj4MmLajO7pcDwHRno8h5WVVWdTCaWmpgYHB3f4EgyP6iHYgCqISJZRKJQ2SxgMRvtZBuWnL2QZrv38HLjBdM3iE+ktrGwR52H7FS5ZsmTfvn0dtgX/FHsINqAKIjImo6ioSPrp559/7unpKaP+gLa6Hs+hNctPa5afqKqyNZ8lOH1UXFUpq3bx0gTYHV0BAQH+/v6yWjkAMkcky9rcqxgWFrZq1aqQkBAZdQl0rE29FelQUzM1U5vlpzXLT/jkYQsrq/XGZXFVZU+KY7HZ7Dlz5uBHrywWi8VipaenZ2RkwN2jQDUROfcvlNLc3PzHH3/g4ySAAkjPzzHq9QvJ63/P8atbDaUHRjBSswy2H0fjZxArTYAQCgwMbH8ajsViwZQeQGURyTINKdra2rGxsTNnzpR5z8AbzTQzYC32nvxLUvt6KxQL26iSemL1VjIzMzuc0ZtCoaSkpMDlUaCaiBxjSp8d09LScnFxCQsLk12XQPdkZmamp6cnJyff3r9Nw83d4oOFtYOH4q8SqLfSWWkC7DJRcXGxs7OzrDoPgKwQybKzZ8/KvB+gJwICAqRHzL5xfo5xWuIpRmQobwoAjkiWBQUFdfYSNvUYUC580qFO660gZEZT+6Ba3GG9lc7KIGC339rZ2cm18wAQQ2R8mbm5eUVFRYcvEVgbAX1qfJlMtB/PgWtfb4XL5To6OpaVlbVfj7+/f3p6+tu3S5oN2AaML1NBRM79+/n5ffLJJ8XFxcXFxY8ePXJzc0tOTsaeyrx/QCba1FsZKDUDR/t6KwYGBpmZme0rrTg4OCQnJyu24wC8LSJZlp6ePnfuXFtbW1tbWzs7uxUrVuzevRt7KvP+AdnCxnNg83N0UW/lvuHgqwVF/v7+WKJBaQKg+oicLxOJRBkZGbNmzVJXV5dIJDdv3oTxZb3OVCOtT8zMkAvKqeTmVHKPldXhL2H1VhBC3iui98Rv8zYzYGjATGpA1RHJsjVr1sTFxZ07d87CwqKysrKiomL+/Pky7xlQDOw29QSHwe3rrRAYzwGAshDJsujoaH19/bS0NDabbWJisnLlyq+++krmPQOKBPVWQG9HJMuoVGp4eHhP5pIFKuvN4znKarFLnx2O5wBAWYhkGegL3qbeSvvxHAAoi5Lrlh8/fnzdunUffvjh559/jt8i4+fnFx0dHRQUhBcrAUrUZjyHuVRstR/PIf3BzMzMGTNmDBs2zMPDo8Ob1QGQIYJ1y2WCx+PZ2tritX6zs7O9vLy8vLy++OILFxeXlJSU2trazZs3t/8gjJXtoR4O9cQufZ6u4DYIxW1eGsHQDrYz9TYzCFu+rM2oWgMDg/379/v4+BBr9I160QZ8e2T9BcoDkf2ygoIC7PbjBw8eLF68OCYmhtgOVPtav9XV1RcuXMDmR3N2dsYqMwFVM9PMINWFyZnteGic9QJLI+mXsPEcVr/e+sl0hKb7LIrOv/8quFxuYGBgU1OTwvsL+gQi58vWrVvn4eHh6Oi4cOHC27dvU6nUly9f/u9//+vuetrX+r19+7a6urq6ujpCiE6nl5SUEOgeUJguxnNounlounkghAS5Wa35rNYbLIQQl8v96aefAgMDldVhQGJEjjH19PROnTplYmIyatSoffv2GRsbBwUFPX/+nFgPpGv9slgsLy+v5uZmhFBRUZGzs3NzczONRkMIJSUl8Xg87CNffvkln89fs2aNlpYWtiQ4OLh31folpUaR5FJd84GKpmJ+2+nSxK8bW/NZrfmsoLEjN2zYoJTuARlSwVq/RPbLDAwMsrOzX7x4QaPRfH19b9++3ZPCJRs3bly5cqWtrW1aWpq1tbVI9Pc/A7FYTKPRsCBDCDU3N2MZhxMIBHgVFSWe9QM4PTWKj4m2N0PNZswEDVd3TY/31ZlDsJeoOno0j/dpHu9nNDdROI2zTbTf0fn3t3fv3r3t27ffu3cPITR48OC1a9eOGzdOOd8B9F4EamriEyUvX75cIpGsXr160qRJBNbTvtZvbW0tlUptbm6WSCS5ubnvvPNOhx8kZa1fMpWqxe9Lp5qaaQdG6O/Jbl/AeNTpOxvZz8peC/bv39/+ZxkbG9vdRsm0AXFk/QXKA5Fz/7GxsadOnTp8+PCuXbsQQn5+fl9++SWB9bSv9WtkZOTh4YHVeSooKJg3bx6B1QKlw+cZFldV8vd/2xA8qyHCrznnqKT2Jf4efDzHmhoabeZCqum/1wQpFEp8fDyLxVJwt0GvRnBMRn19fXp6ellZGZPJDAgI0NfXJ7CSDmv9lpSUbNq0ycrKqq6uLikpSVdXt/0HYUxGDylgSIG7u/vly5ell+jr6x84cEDDzb2z8RzCJw8FOT+23riMVWOZPHlyt+KMZBsQQ9ZfoDwQybJHjx55eHhgf06EkLm5OYvFsrGxkXXfOgVZ1kOK+aeYnp6elJR0+/ZtfX19Dw+PuLg46WqE7efnwLXk57bms+iP2K8qnr19c+TbgIi8v0B5IHLuPzIykkql7tu3z8bG5vHjxzExMRERERkZGTLvHOjVAgIC/Pz8OvuniI3nyPlk5ouBNhqu7ppu7vhL+HiOVTfL4FZ28JaIZNm1a9eSkpIWLVqEEJo8ebKGhgbcZw6IcRpqd+rUqZbcLJ6OnoabO22mH37pE8H8HKA7CM6T0draij9tbW1VU4O5+gARcXFxp06dQghJXje25Ga15GZRTc3ajOeA+TnA2yCSZZMmTdq4cSOfz7exsSktLd28efOkSZNk3jPQFzg6OiYlJUnv14urKgU5P25wsVvy3lyYnwO8PSLn/h8/fuzh4fH06VPsKZPJZLFYlpaWsu5bp+Dcfw+p2qlrFouVnJyMXbV0dHQMCwuTvgX9Dpf/Y1lth0WkRjC0/ZjG3mYGFnTNvrwBZaK3n/snOCajqanp1KlTjx8/tra29vHx0dHRkXnPugBZ1kO99J9i1/NzBA7WH09HZgb6sAGJ6e1ZRuQYc9asWTt37vz444+xp6WlpcePH9+0aZNMOwZAW9gVgM7qrayr5yOEZpg2zbboB/VW+iAi4/5zcnLq6/+dEeHq1atJSUmy6xIAb4BNOvTkA4ddLpbvDfzPxc3zVa+xSYdW3Sw7XVnf2RoA+XRvv2zs2LHYg8WLF9PpdOzxw4cPYY4KoHht6q3sfvjifqMAfxXGc/Q13cuyKVOmXLt2DSH05MkTfByGkZER1GECSoSF2vtGmg9quNdeo5MvmqDeSh/UvSzDMmvQoEEXL160t7eXT5cAIGgQTW1pP72wEYOh3kofROTc/7Nnz6hUJRc9AaALWL2VBAfz9uM58FCTHs+h3N4CmehGltna2nbxKsxnDZSIw+H8+eefN27cmDZt2tixYw0MDLDlIw20EwzMExzM24/nuFvP33SrfNOtcrzeClz67NW6kWVCoVB+/QCAsJSUlNjYWOza+rZt2zos+NT1eI5VN8sQKvM2Y8w0M4BQ66W6kWWKqW+Yl5enq6vLZDK1tbWxIiYAdCE5OTk8PFz6pAeXy50zZ05GRkaH9eu6qLdyurL+dGU9QmULLY3h0mevQyQsIiIi2i/89ttvCazqu+++wyrUzZo1Kzo6GiF08ODBtLQ0hNCUKVN+/vlnQ0NDAqsFfQSHw8GCTCxueydAYGDgtGnTOpzLE7Ubz7GnuAq/9IlgPEfvRCTLtm3b1mYJg8EgkGWFhYUnT548e/ZsXV2djY3N0KFDfX19KRRKYWGhnp5e16fnAEAIYbdwtg8yhBCXy338+PGoUaO6XgMeak95LTkV3B/LamU4noPD4dy6dYvNZru7uzs4OOBn8YA8EMkybD5+3Oeff+7p6UlgPTwe78GDBzwez9jY2NXV9cyZM76+vlQq1cnJicDaQB/U9XmPly9fdvFqGxZ0zWA702A707cZz/n3w74AACAASURBVPE2/2zi4+PxKj9I/mXbAZEsk57pGCEUFha2atWqkJCQ7q5n4sSJZWVl2OOnT5+OHz8eIUShUGJjY0UiUUVFRWpqqrY2jGwEnWIymV282r9/fwLrfJvxHEPp6j6m2gsNWjobzxEXFxcfH0+h/Dt3A3YWLzc3193dnUCvwBsRmSdD+oKmUChMTEzctm2b9B2a3XX+/PnAwMCioiJTU9Njx455enoaGhqGhobSaLTExETsPV9//TVe6/fbb7/l8/lBQUF4rd81a9bglTRB31FeXj5t2rSmpqb2P2N9ff379+/LpJVLdc2X6pp/q21uancsO5SuvthMZ4qRlp4aRbpXY8aM6XBVDAbjr7/+kkmvlEsFa/0SGfKqIUVbWzs2NnbmzJmEe/Dq1avNmzdfvHjR1NQUIbRgwQLsfL+NjU1WVhb+Nk0peDfwJXjRX9CnmJubR0RESCSS9j+A5ORkWbUy1UjrK1uD62MGpAw1+MBES/qlhzxhVEn9uPyXax6+OlXNbxRJEEJnz57tbFX19fXl5eWy6hiQRmS/zMvLC3+spaXl4uISFhbW2QWjrolEoqVLl27atGnIkCFZWVkeHh7Dhw/Pzs4eOXJkUlLSgQMH2Gx2+0/B/GU9RLLpt5KTk2NjYxsaGrCnDAYjPT1dfmem6ltFR/7iXKptzn0laP/qQkvjhstnDkcEd/bxe/fuDRs27C3bIusvUB6InC/r4n873bVx40YPD4+6urrz588XFhZ6enoOHDjQysoKIZSXl+fr6yurhgCJYfPQXr9+HRv3P27cOLleMWRoqPmYaPuYaOuY9O9wPAdiujEOsFrzWa35rNYbrDYfxyeYAbLVjSwLCgrq4lVsUFi3nD9/fuvWrfjTAwcOaGpqxsTErF69WigUmpubr1+/vrvrBH0Tk8k0NjaeNGmSIncruhjPQdXRo3m8T/N4X1RV2ZrPamFlizgPEUKWlpZdX68AhHXjGLOLc1Kmpqbduv7dQ3CM2UMkO8bEqMIGbD+eA4eFWvonH/hO6UahH7JuQHnoxrn/4n/4+vouWrQIfzpt2jSYVxYA9M94jtvvjbg81d6h5rGo+jn+kpqpmdYsv6BXupMu3k8rqXraLuzaO3DgwIwZMwYNGmRjYzNnzpwOzx0DHJFz/8bGxvv27cPPrebk5ISEhDx+/FjWfeuqA7Bf1hOwX9ZDb7kBORzOD0UPL9bynxqa89rtN3Q9P8ecOXMyMzOll8j7mkYf2i+TdvLkSXyU2c2bN2tqamTXJQBIgslkbp7j+ccyn/IPXQ6Ns15gaST9KjY/h9WvtxbllR4tq61vFeEvxcXFtQkyhFB9fX1gYCCXy1VE13shIlm2Zs2aw4cPm5mZubm5MZnMuLg4b29vmfcMADLpot7K6cr6NvVWUlJSOlwJl8uV4bg5kiEyJiM6OlpfXz8tLY3NZpuYmKxcuRLm+wfgbbzN/Bx66tSWj8M0OhrPgRCCs2adIbJfRqVSw8PDHz582NLSUlFRsXv3bgYDJkUBoBuwULs6zZ793ogvR5kPZ/x733GjUEzzeF/3s236qVnaAevUmEPfuDYWizVnzhwKhUKhUDw8PNofn/YFBCc7zMjIyMvLw2+QRAjt2rVLRl0CoA/pYn4ONVMztVl+WrP8sPEcgtNHxVWVbWZ2QP/MRok/ZbFYLBYrICBg//79ivsaKoDgMeYXX3whvcTFxUVG/QGgj5Ken2N95sW8ZqqayUDsJTzUJE9LGNPGPOX9Oz8Hm80ODw+XnpADIUShUNLT02fPnt2nphgicoz5/fffz58/v7i4eNCgQXl5eTExMT25txwAIG2kgfbZgPfnXP+pKXGdgJUled2Iv0SxsN3yqNbxzN1JF+9jlz6xKdLajKzCnva1qwREsqy+vv6DDz6wtbXt379/a2trUFDQ999/L/OeAdCXpaenn9gY6nL7N3HIB0bHUgaX/2f+Inw8xw23WZrusyg6HYwIu3z5sqI6qxKIHGM6OzufPXvWz89v9OjRW7dunTJlCox5AUDmfHx8vL298cHG2KXPNvVW+EOddYY6I4QEuVkd3sreHpvNvnXrFofDcXR0nDx5Mmlm7iaSZRs2bNi5cydCKCgoaOzYsVlZWXPnzpV1xwAA/9H1eA7sVnbx60Z8fo7Jkye3X0l4eLj0sWcXM3dzudyUlJT09HQOh8NkMt3d3ZOSklQ5+Ijcw4QQwme/u3Xr1sOHDz/44AN8ilcFgHuYegjuYeohFdmAT3kt3+Xf21HwUJ05pM1LoqrK2Rb91k9wkK63EhYWlpKS0uZCAUIIm7lbegNyuVwPD482Y9kMDAxyc3PbX0hVEQTvYcLnzHBwcPD19VVkkAEAMBZ0zS/cnXYYN9evfL8552ibW9mzmzUnX7rvcObuplvlT3ktbDY7JSWFSqW2330JDAxsv6T9oFwul9v+naqDYJYBAFREQEBAwbmcGXXFhl+v0tm2btCD/H7UfwsTYPVWHM/c9b37ijZzIeo3oP0aOBxObW0t/rSxsbGz0bbYuTaZfwWZUHJh8Pa1fouLi2NjY21sbKqrq5OSkqAOEwBv5Ojo2CZ9ciq5OZXc0xXcBuHfuVajzaAHRqDACOGTh4KcH1tvXJYe7VFTU4MfMkvnWnvl5eUODg6y/gYyQDDLnj9/npOTU1NTs2HDhgcPHlhYWBCY+bfDWr8hISFffPGFi4tLSkpKQkLC5s2bifUQgL4Mq7iOXP4OtWNldfhL6lZD1VfHI4Ra8nNb81lYqPXr1w9/A14eqHchcox5/fp1e3v7Tz/9dOPGjQihyMjIzz//nMB62tf6ra6uvnDhAnZy0dnZ+eTJkwRWCwDA4fNzRJpSWvJZ0i9punnorI43OMAyj97xp+Df3Rrs4gmV2nE42NnZybO/xBHJsvDw8GnTpmGXchBCXl5eJ06cILAerNavjo4OQujp06cWFhYlJSXq6urq6uoIITqdXlJSQmC1AIA2GBpqG951WiZ4yvV3f707Tsh5JP3qa4cJi/JKR/xWGlVSf77qtZ6eXmhoqFjcrhooQg4ODkOGtL1mqiKIjMmg0+nnz5+fOHEidnE3IyNj4cKFzc3NhDuB1/r966+/vLy8sFUVFRU5Ozs3NzdjRXzj4+Nfv36NvX/Xrl18Pj8wMBC/frp+/Xqo9QvAG23btm379u0IIaqpmYaru86MuZJBVm3eY0ZTm6hDyf1y46NLp6WXm5ub//DDD8OHD0cqWeuXyPkyU1PTX3/9deLEidjTrKwsW1tbwj2QrvVbUVEhEv09u6ZYLKbRaHhCmZiYYHtwOCMjI/wkHdT6BeBtrFu3bv78+c+ePbt3797w4cPHjRtXIRAdes67VNf8XPD3P71KgeiEAKHgLeaBn2neu1Fz/Lvh/Y3HjRv36aef6uvrK7f/XSCyX7Zz5841a9bY2dkVFxePHDnyzp07e/fuXbp0KYHm29T6nTBhgomJCY/Ho9FoLBYrODj4/v377T8FY2V7SEWGesoWbMAeul5R82NZ7W+vBJXNwjYvjWBo+zGNvc0M8Pk5VBCR82WrV6/eunVrS0sLhUJpaGggHGSoXa1fIyMjDw+PoqIihFBBQcG8efOIrRYA0F3D9WkbmHp5k6yw0gT66v+Gw916/qZb5dLzcyixn50hcoxJoVAiIiIiIiLEYnFnFzveRvtavwihtLS0TZs2WVlZ1dXVQak6ABSvi/Ec2PwcCJXtcWXOtzDqYiWKp8y65TNmzGh/hGtra0vsqigAQLawUEtwGNx+fg6mjspdautGlv3vf//r7CVTU1MCWQYAUH3t5+d49lowxljnzZ9UrG5kWXFxMfYgKipKU1MzNjYWexocHKzKd5wCAGRCOtSU3ZcOdCPL8IEXFy9e3LdvH/40LCwsJCTEz89P9r0DAKieDgutKx3ULQcAkAGR65hr1qyJi4s7d+4ck8msqqoqKyubP3++zHsGAABvj8h+WXR09Pbt2w0NDdlsdmtr68qVK7u4LAAAAApAZL8Mq1suXV4UAACUC+aVBQCQAWQZAIAMIMsAAGTQjfNlIpFITe3fcSUCgWDPnj0FBQWOjo4hISG9dF5dAAA5dGO/bOrUqS9evMCfrlmzJjExsamp6fvvv1++fLkc+gYAAG+rG/tlTU1NTk5Ox48fnzRpEkLo9OnT2dnZzs7OfD5fARM5AQBAF7qxX3blypXp06dPnTr122+/RQjZ2dklJCTs379/48aN1tbWcushAAC8WTf2y+h0+sGDBydMmBAaGvrHH398/fXXkZGRYWFhw4YNS09Pl1WH8vLydHV1mUymtrY2VsQEAADeqNvXMVesWHHt2rWioqKPP/54x44d9fX1eXl5I0eOJNyD6urq1NRU/OnBgwdHjRqlr6/v6en56tUrwqsFAPQp3ciyhw8fTp8+3cTEZP369YcOHRo6dOjYsWOxyWAJCwkJCQwM/OGHH/AlFAqlsLCwuLj40qVLhoaGPVk5AKDv6EaWLV68WE9PLyEhwc7OLigoKCsrKyoqaunSpcuXLxcIBMSa37lz57Jly/7TISrVycmpJ4WdAAB9UDdOSP31119HjhyxtbVdvHixvr6+UCiMiooaO3bswoUL79y5k5eXJ5MOUSiU2NhYkUhUUVGRmpqqra0tk9UCAMitG1nm6enp6enp4uJy//79iRMnamhoIISmTp1aVFTk6+srqw5NmDDB09PT0NAwNDQ0NjY2MTERW75p06ampibsMY/HQwiFhobi1TOjoqLwur8yJxAI8CLt8oYVRlNMWwr7UrABe0gFN6AK1vrtxjHmgQMHFi9eLBQKZ82a9dNPP+HLBw0axGKxZNWhBQsWYKfJbGxssrKy8OU2NjZD/oEVf7K0tLT+h/QNCQCAPqgb+2U6Ojr4HP9tYPtohOHVmJqamoYPH56dnT1y5EiRSITvdiGEpEtwxsbG8ni8tWvXQq1fYkhZqhY2YA8pcgPKg0rcW45nmaam5sCBA62srBBCeXl5Mjx0BQCQm5IHo8bFxV25cqW0tHTVqlX+/v5ubm4xMTGrV68WCoXm5ubr169XbvcAAL2F8rOszRJvb29vb29l9AUA0IupxDEmAAD0EGQZAIAMIMsAAGQAWQYAIAPIMgAAGUCWAQDIALIMAEAGkGUAADKALAMAkAFkGQCADCDLAABkAFkGACADyDIAABlAlgEAyACyDABABsrPsja1fouLi/38/KKjo4OCgvh8vhI7BgDoRZScZe1r/YaEhKxdu3bLli329vYJCQlK7BsAoBdRcpa1qfVbXV194cIFR0dHhJCzs/PJkyeV1zUAQG+i/GNMaSUlJerq6urq6gghOp1eUlKi7B4BAHoHJc/334ZAIKBQKNhjKpXa0tIiEAiwynLr1q3DS5C+fv0aIRQUFIQXndu8eTPU+u2uvlyqVib68gZUwVq/qpVlDAZDJBJhj8ViMY1Gw9PKycmpubkZe/zjjz8KBIKRI0fS6XRsCdT6BaCPU4ksw+tjWlpaisVibF+ssbERK5SJWbRoEf74s88+e/369apVq6DWLzFQqraHYAOqIJU4X4ZnmZGRkYeHR1FREUKooKBg3rx5Su0XAKDXUH59zDa1ftPS0jZt2mRlZVVXV5eUlKTc7gEAegvlZ1mbJba2tidOnFBGXwAAvZhKHGMCAEAPQZYBAMgAsgwAQAaQZQAAMoAsAwCQAWQZAIAMIMsAAGQAWQYAIAPIMgAAGUCWAQDIALIMAEAGkGUAADKALAMAkAFkGQCADFQxy3JycjgcDp/PF4vFyu4LAKB3UMUsi4iIsLKy0tXVXbduHT7lLAAAdEEl5vtvY8yYMQcPHrSwsOjfv7+y+wIA6B1UMct0dXVdXV2V3QsAQG+iillWXl4eHR3N5XIHDBgQFRWl7O4AAHoBigqekNqzZ09wcDBCyMHBISEhwdvbGyEUGhqKlyDF6mPOmTNHU1MTW/LVV1/Jr9YvAKANqPX7VrAgQwjZ2NhkZWVhWTZu3Di81u+JEycEAsHo0aN1dHSwJVDrF4A+TuX2y65evbpkyZKHDx9SqdTZs2dbWVklJye3eY+xsXFdXV1NTQ3U+iUGStX2EGxAFaRyYzK0tLTc3NyoVGpzczObzf7oo4+U3SMAQC+gcseYrq6uLi4uS5Ysqauri4+PnzBhgrJ7BADoBVQuyxBC4eHhyu4CAKCXUbljTAAAIACyDABABpBlAAAygCwDAJABZBkAgAwgywAAZABZBgAgA8gyAAAZQJYBAMgAsgwAQAaQZQAAMoAsAwCQAWQZAIAMIMsAAG+QnJw8Z84cZffiDSDL3qCyshKfm1uuJBIJh8NRQEMIoYaGhpqaGsW0VVlZyefzFdCQRCJ58uSJAhpCCDU2NlZXVyumrefPn/N4PMW09fjx4w6Xs1iszMzM9PR0xXSDGMiyN1i9evWtW7cU0NCrV6/ef/99BTSEEPr111+3bdummLbWrVt348YNBTTU2Ng4c+ZMBTSEEMrJyUlMTFRMW5GRkdevX1dAQzwez8vLq8OXfHx8EELx8fFcLlcBPSEGsgwA8AYBAQEODg4cDsfDw0Nl4wyyDADwZiwWy8HBgc1mq2ycqeIc2W/pypUr8i4YIxQKGxoabt++jRfilJ/q6mqhUHj58mUFFPp8/PjxixcvLl68KO+GhEJhfX39nTt3FFDap66uTmEbsLS0tKqqSjEbkMvl3rt3z9DQUN5t1dfXi0SiLjZgcHBwbGwsm80eO3bs7t27p06dKu8udY+kF/L29lZX78UpDAAJZGRkKDsJ/qNXJkJOTs7MmTMbGhoU0Nbt27eZTKa+vr68GxIKhQUFBWPGjJF3QwihFy9evH792sbGRgFt3b1719zc3MDAQN4NiUSiGzdujB07Vt4NIYRevnzZ2Nhoa2urgLbu3btnZmamgP0ysVj8559/jhs3rov31NbWFhcXC4VCCwsLJpMp7y51j7LDVNW9++67V69eVUBDNTU1/fr1U0BDEokkLS0tKChIMW1Nnz79woULCmiIy+UaGBgooCGJRLJ3795ly5Yppq333nvvzJkzCmioqalJV1e3izfs378fCw1/f/9Xr14poEvdAuf+AQBvxmazAwMDEUJJSUnp6ekK2NHuLsgyAMAbcLlcDw8PhFBoaGhYWJiyu9MxyLI3sLa21tHRUUBD6urq9vb2CmgIIWRkZGRmZqaYtqysrHR1dRXQkJqa2rBhwxTQEELIyMho0KBBimmLyWQq4CowQohKpXa2AZOTk7lc7uTJk5OTkxXQE2IoEolE2X0AAKg0d3f3y5cv5+bmuru7K7svnYIsAwC8AYfDYbFYAQEByu5IVyDLAABkAOfLAABkAFkGACADyDIAABlAlnVKIBBkZGS8fPlSIBCQ8qxiaWnp1atXX7161draquy+yAxZ/2o5OTkcDofP54vFYmX3RVUp9a4DlfbixQtsE+np6R0+fFh+DZ06dYrNZuNPt2zZsmbNmhUrVuTk5Mi2oaqqqt27d+NPjx07hn1Ba2vroqIiWbUiEAg2btzo7+/v4uJy6tQpbGFWVpa/v//69eu/+uorWTUkkUjKyspWr1790Ucfvfvuu/fv35fI86927NixtWvXzp07NyoqSiwWSyQSHo+3dOnSjRs3BgYGPnr0SIZtbdmyZf369dOmTfvpp5+wJe+88w5CiEqlhoWFYa3L1qeffnrx4kW8dTn9AuUKsqxTL1++XLly5Y0bN5qamuTUxJkzZ1auXGliYpKVlYUtycvLmzlzpkQiEQgEQ4YMqaurk1Vbq1evnjlz5ujRo/Elx48f37t3L5vNFgqFsmpFIpFs3779iy++kEgkFy9epNFoZWVlfD7f1taWz+dLJBIfH59Lly7Jqq25c+eyWCyJRPL555/b29tL5PZXe/369cCBA4uLi/l8vpqaGnaDZEJCwtatWyUSCZvNfvfdd2XV1sWLFx0dHUUi0YULF7S1tbHfgL+/f35+/osXL2TVirQrV65oampit83K7xcob3CM2SkqlWpiYuLi4iK/cf9eXl67d++WHoJ/5MgRR0dHhJCmpqa5ubkMZ8jauXPnsmXLpJdQqVQbGxsHBwc1NTVZtYIQam1tzcvLQwhNmTJFIpHk5ubm5OT0798fmxXL2dn55MmTsmpLIBD8+eefCCEvL6/79++XlZXJ6a+G3ZUhEok0NTUpFAo2GSH+xxo1alReXl5VVZVM2urXr1///v0lEommpiafzxcIBAghXV1dV1fX/v37y6QJaS0tLb/88gt+z4n8foHyBlnWKQqFwmKx4uPjP/nkk5ycHMU0+ujRI/wfIZ1OLykpkV9bFArlhx9+iI+PX7BggQwbioyMzM7ORgi9fPmypaXFwsJCfl8qOzs7MjISIfT06VNtbW0TExM5/dU0NTUvXbo0dOjQnJwcc3NzrDID/r0oFIqWllZpaalM2nJwcDh79qyamtqpU6fmzZs3YMAAhFB5eXl0dHRISMiXX34pk1ZwKSkpq1evxp8q8hcoW71y/jLFoNPpAQEBAQEBtbW1TCbz8ePHJiYm8m5UIBBQKBTsMZVKlescbdbW1qtWrRozZkxGRoafn19+fr5s179jx47p06djt7/I+0vt2rUrKiqKTqdTKBT5/dUSEhKOHDmyY8cOHR0diUTS0tIip+/16tWr2NjY3NzczMxMbImnp2dwcDBCyMHBwcnJydvbWyYNlZaWYrvn+BJF/gJlC/bLOqWtrY3dtGFsbKyhofHbb78poFEGgyESibDHYrGYwWDIry0nJyds6kcbG5sbN268fPlShivPz8/Pz8//5ZdfKBSKvL9USkqKm5tbVFQUkvNfbePGjdeuXVuyZMnJkycpFIq+vr6cvpehoeGOHTtSU1Pd3NywOm9YkCGEbGxssrKyZNXQ7t27Q0JCpJco8hcoW5Blnfrmm28WLVqEPRaJRDQaTX5tSf4ZPWBtbd3U1IQ9bmxstLKyklNDCKGZM2d+9913CCHstyvDL/j8+fOUlJRTp041Nzdfv35drl/qt99+e/78eVJS0h9//FFXVyenv1pJSUlsbKxEImEwGEOHDj148CCS+mOJxWI+ny+reVbPnTt34MABhNC4cePq6upOnTp19epVOzs7bDSGDL9UZWXl/fv3ly9fHhAQ8OTJk61bt54/f17ev0D5gSzrFJVKnTx5MkLor7/+0tLSkusMAXjEfPjhh0VFRQih5ubmsrKyzuoV9rwhhJCWlhY2IXJeXt706dNlNbtec3NzSEjIkiVLbt++vX//fh6PN23atBcvXmAFawsKCubNmyeThhBCpaWlaWlpPj4+f/zxR1pamp6enpz+ar///vuhQ4cEAoFYLC4vL3d1dUVSf6yioqJx48ZhJ7Z67ujRo2fPnkUIlZWVIYRcXV21tLTc3NyoVGpzczObzf7oo49k0pCZmdmZM2fS09PT09P19PTWr18/Y8YMef8C5QfuLe8Un8/fsGFDU1NTVVVVTEwM9vOVrevXrx86dOjw4cOjR492d3ePiYlBCG3ZsgX7lz9nzpwPPvhAVm3FxcVduXKloKBg0aJF/v7+bm5upaWlW7ZsoVKpPB4vJSVFVtfINm3alJCQgD8tKyuzsLDIzs4+duyYsbFxv379oqOjZdIQQmj8+PHYNVOEkJWV1ePHj+X0V2tpaYmMjOTz+S9fvrS0tNy6daumpiaPx1u1apWJiUllZWV0dPTQoUNl0tbTp09jYmKwiwkfffTR8uXLEUJJSUl37typq6vz8fGR7XwV9fX1UVFRe/funTJlymeffTZ58mQ5/QLlDbIMAEAGcIwJACADyDIAABlAlgEAyACyDABABpBlAAAygCwDAJABZBkAgAwgywAAZABZBgAgA8gyAAAZQJaRX3Z2NoVCodPp2Gyo8rZo0SIKhYLPu0+Aubk5Nr39WyosLBw0aFC/fv2kFxYUFEydOtXAwMDKymr9+vXYne04Nps9cODAAQMGVFZWIoSOHTtGaWfx4sWEvwJQPJiLkfy+++47bW1tPp9/+PBh6RlEyeGXX3755JNPeDyesbExvpDD4bi7uw8aNOjrr78uKSnZvn17dXV1eno69mpDQ8NHH31UU1Nz8eJFbILyMWPGxMXF4fcmP3r06OjRoyNHjlT4twE9oJwyA0BRysvL1dTUgoODbW1tR40apYAWP/74Y4TQ8+fPCa9h0KBBQ4cOfZt3ZmZmUiiUiRMn2tnZGRsb48uxeRlv3LiBPV2wYIGamhpWPEUikXz44YcIoW3btnW2Wnd3dwaDweVyCX8FoHhwjEly+/btE4lES5YsCQwMvH37NlbpAyG0aNEia2vrtWvX6unpGRoaBgUFYTMySiSS77//ftSoUbq6usOHD9+1a5dEIkEI3b17193dXU9Pz9raOioqCp96FPPXX3+NGzdOW1vbzc3twYMH+HIOh+Pj46OjozN48ODPPvsMK8PR4aoyMzOtra319PTmzJkjfTzIYrFcXV21tbWHDRuGzVAoberUqbt27frtt9/09fWll2NHjvgsRqampiKRCKstsmvXrpMnT/r6+oaHh3e4xS5dusRisUJDQ3vRlKoAIdgvIzWRSGRpaeng4CCRSCoqKtTU1JYuXYq9hO09TZ8+/dChQwsXLkQI7d+/XyKR7Ny5EyG0ePHijIyMTz/9FCH07bffSiQSJycnCwuLX3/99dixY1u2bJFupampyczMzMTE5Icffti7d6+pqSlC6Pnz5w0NDebm5lZWVjk5OUeOHNHR0YmMjOxwVQUFBRQKxcXF5eeff46Pj1dXV8f2y27cuKGmpjZjxozLly/HxsYihE6fPt3hNx09erT0ftmePXsQQitWrKiqqrpy5YqxsbGBgYFQKHz27Jm2tjZCqH///hoaGs7Ozrm5uW1WNX78eH19/V5USw1gIMvIDCtElJiY2NjY2NjYOH36dB0dnYaGBsk/WVZdXS2RSLAC5pBrNAAAA8lJREFUQqtWrZJIJLa2tgMGDMAqZorFYktLSyMjI7FYbGtra2xsfOzYsfZ1J3/88UeEUFJSEvYUP8bcv38/QggvuPvpp58OGjQIa6LNqrDpBvF6w/gxpr+/P0Lo2bNn2HI7O7uPP/64w2/aJsuEQiE++SoWXhERERKJZPPmzQihKVOmnD9//siRIwMGDNDT06usrMQ/eObMGYTQpk2bCG9zoCyQZWQ2e/bs9nvie/bskfw3y549e4YQWrp0qVgsVldXHzt2LL4GbI7p+vr63377zc7ODiGko6OzefNm6VawKmd4jWs8y7BpcqVpa2uLRKL2q5o+fTpC6PXr19ga8CybNGlSmzV4enp2+E3bZBnm6dOnN2/edHNzs7S0xBIcC0e8Yi62E3rixAn8I66urjo6OjU1NYS3OVAWOF9GWs+fP8/JyZkxY8ZVKQYGBt9//31nH6FQKEwms6ysDD93xuFwDA0N9fT0PDw8Hj16VFRU5OLiEhMT8+TJE/xTWNG29pVusVoev/zyC/5r4/F4VCq1/aq6WAOVSpVOFmwi/Lc0ePDg7du3FxQUHD58WE9PDyGEVeJobm7G3oANUsF23BBCv/76640bN1auXCl9SRT0GkrIT6AQW7ZsQQj9+OOP0guxHZObN292uF8mkUhSUlIQQgEBAZmZmStWrEAIJSYmSiSStWvXpqenFxUVzZkzh06nY7s5mGfPntFotGHDhp09ezYlJYVOpyOEnj9/zuPxbG1tLSws9u7de/LkydWrV0dFRXW4qhMnTiCE5s2bd+HChdDQUIQQtl92584dTU3NSZMmnThx4tChQwsWLPj555/bfM3r16/n5uYOGTJEX18/NzcXP1CVSCTYjmFMTAy+pKysTE9Pz8nJKTU1FaunOXr06JaWFolEIhaLHR0d6XT6y5cvZf2nAIoAWUZOYrGYyWT2799fOnQkEslvv/2mrq6+fPnyzrJMLBbv2rXL3t6eTqcPHTp0+/btIpFIIBCEh4cPHDhQS0vL2dn53LlzbZr75ZdfbGxs6HS6r68vliDYmIwnT57MmzevX79+Wlpa48ePv3TpUoerEovF0dHRJiYmxsbGUVFRs2fPxsdkXL58ecKECTo6OgwGY+7cuY8fP27TtHSdWoTQ5MmTseWHDx+mUCjvvfdea2ur9PsLCwunTp3KYDDMzc0//fTTqqoqbPnPP/+spqb25ZdfymDrA2WA2iUAADKA82UAADKALAMAkAFkGQCADCDLAABkAFkGACADyDIAABlAlgEAyACyDABABpBlAAAy+D+Vp1ZT7JhZzwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 1,
"metadata": {
"image/png": {
"width": 400
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(\"./exemplo_grafico_regressao_linear_simples.png\", width=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Os **pontos pretos** no gráfico, são as correlações das quais temos informações. Se fossemos representar os dados em uma tabela, seria mais ou menos o seguinte:"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt \n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot()\n",
"table = ax.table(\n",
" colLabels=[\n",
" \"anos (preditora)\",\n",
" \"% fumantes (target)\"\n",
" ],\n",
" cellText=[\n",
" [0, 10],\n",
" [4, 20],\n",
" [9, 30],\n",
" [\"...\"] * 2\n",
" ],\n",
" loc='center',\n",
" colColours=[\"palegreen\"] * 2\n",
")\n",
"ax.axis('off')\n",
"table.set_fontsize(14)\n",
"table.scale(2,2)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nesse caso, a variável independente seria os **anos passados após o início pesquisa** (eixo x) e a variável dependente seria a **% de adultos que fumam** (no eixo y).\n",
"A linha azul mostra \"o mundo ideal\" de coordenadas lineares. Por isso as medições reais (os pontos pretos), não estão exatamente na linha azul."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gráfico de Regressão Linear Múltipla"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 59,
"metadata": {
"image/png": {
"width": 400
}
},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(\"./exemplo_grafico_regreessao_linear_multipla.png\", width=400)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Agora os **pontos azuis** no gráfico, são as correlações das quais temos informações. Quando existem mais de uma variável preditora (como nesse caso), teremos todas as combinações entre elas. \n",
"Se fossemos representar os dados em uma tabela, seria mais ou menos o seguinte:"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt \n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot()\n",
"table = ax.table(\n",
" colLabels=[\n",
" \"anos (preditora 1)\",\n",
" \"qtd cigarros fumados (preditora 2)\",\n",
" \"% fumantes (target)\"\n",
" ],\n",
" cellText=[\n",
" [0, 1000, 40],\n",
" [0, 2000, 40],\n",
" [\"...\"] * 3,\n",
" [50, 1000, 35],\n",
" [50, 2000, 30],\n",
" [\"...\",] * 3,\n",
" ],\n",
" loc='center',\n",
" colColours=[\"palegreen\"] * 3\n",
")\n",
"ax.axis('off')\n",
"table.set_fontsize(14)\n",
"table.scale(2,2)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nesse caso (hipotético), resgatando o exemplo anterior, as variáveis independentes seriam os **anos passados após o início pesquisa** (ainda no eixo x) e a **quantidade de cigarros fumados pela pessoa em toda sua vida** (no eixo z). Enquanto a variável dependente seria a **% de adultos que fumam** (no eixo y). \n",
"Agora seria o plano quem estaria fazendo o papel de nos mostrar qual seria \"o mundo ideal\" de coordenadas lineares. E, nesse gráfico, os pontos azuis seriam os dados reais."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Mão no código\n",
"## Predição com Python usando modelo de Regressão Linear\n",
"Nas linhas a seguir, vamos usar um dataset bem conhecido que contém os dados de preço de imóveis em Boston. E, com ele, criaremos um modelo de regressão linear que tentará prever os valores das casas."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. Instalar bibliotecas\n",
"No primeiro passo, vamos instalar as bibliotecas que precisaremos para esse exemplo. \n",
"* O [scikit-learn](https://scikit-learn.org/) é uma biblioteca de apredizado de máquina; e \n",
"* O [matplotlib](https://matplotlib.org/) é uma biblioteca para vizualização de dados em geral;"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!pip install -U scikit-learn\n",
"!python -m pip install -U matplotlib"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2. Importar dados\n",
"Agora vamos importar os dados que iremos trabalhar. \n",
"A função `load_boston` retorna um dataset com os preços de casas em Boston. \n",
"Salvamos em `X` as variáveis independentes do nosso dataset (indíce de criminalidade, número de quartos etc), com `scale` para padronizar os valores em uma mesma escala. E em `y` adicionamos a variável target, que no nosso caso, são os preços das casas em Boston."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.datasets import load_boston\n",
"from sklearn.preprocessing import scale\n",
"\n",
"boston = load_boston()\n",
"X, y = scale(boston.data), boston.target"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3. Separar dados de treino e teste\n",
"Agora com o auxilio da função `train_test_split` separamos o dataset em dados de treino e teste, utilizando 33% dos dados para teste. O parametro `random_state` serve como semente para o sorteio dos dados. Caso você use o mesmo valor que eu, terá o mesmo resultado final."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.model_selection import train_test_split\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33, random_state=10)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 4. Criar modelo de regressão linar\n",
"Aqui escolhemos qual o modelo usaremos, nesse caso `Ridge` . \n",
"Criamos uma instancia do modelo. \n",
"E treinamos ele com o método `fit`, passando os dados de treino."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Ridge()"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.linear_model import Ridge\n",
"\n",
"regressao = Ridge()\n",
"regressao.fit(X_train, y_train)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 6. Avaliação do modelo\n",
"\n",
"#### R-quadrado\n",
"Com o nosso modelo treinado, podemos verificar a acurácia das suas predições. Nesse exemplo usaremos o `r2_score` para termos uma medida de nossos acertos. O `r2_score` basicamente variação da distância entre os valores preditos e os valores reais divididos pela variação total. Então quanto mais próximo de `1`, mais preciso é o nosso modelo.\n",
"\n",
"> R-quadrado = Soma das Variações / Variação total"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R2: 0.717\n"
]
}
],
"source": [
"from sklearn.metrics import r2_score\n",
"\n",
"y_predict = regressao.predict(X_test)\n",
"print(f'R2: {r2_score(y_test, y_predict):.3f}')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nosso modelo *pontuou* 0.717, o que é bem próximo de 1, então foi um bom resultado. Isso, a gosso modo, quer dizer que nossa regressão prevê os dados com 71,7% de acurácia em relação aos dados reais de teste. \n",
"Para nosso casos de exemplo é uma pontuação boa. Porém existem outros casos que precisamos ser muito mais precisos, como em predições de doenças por exemplo."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### plot\n",
"Ainda com o objetivo de verificar a acurácia do nosso modelo, podemos criar um gráfico para ver as distâncias entre os dados reais e os dados preditos pelo nosso modelo. \n",
"No exemplo a seguir, temos na cor verde os dados reais presentes no dataset e em vermelho os dados que foram preditos pelo nosso modelo de machine learning. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc997016790>]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.pyplot import plot\n",
"\n",
"plot(y_test, color=\"green\")\n",
"plot(y_predict, color=\"red\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Conclusão\n",
"Esse foi meu primeiro artigo, eu pretento publicar mais textos com temas relacionados, então se alguém tiver alguma sugestão, se achou que ficou bom ou não, por favor compartilhe comigo.\n",
"Até a próxima"
]
}
],
"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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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