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@demacdolincoln
Created September 9, 2018 03:50
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exemplo de regressão linear\n",
"{usando apenas o pandas para ler os dados e o numpy para calcular}"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"figsize(15, 8)\n",
"style.use(\"fivethirtyeight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Os dados:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"dataset = pd.read_csv(\"co2_por_nacao.csv\")"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"nation_name = \"JAPAN\"\n",
"\n",
"nation = dataset[dataset.Nation == nation_name]"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"total_co2,\\\n",
"solid_fuel, liquid_fuel, gas_fuel,\\\n",
"cement_prod, gas_flaring, per_capita_co2, bunker_fuels = dataset.columns.tolist()[2:]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"nation_total_co2 = nation[total_co2]"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f5a70edd9e8>]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(nation.Year, nation_total_co2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# calculando os coeficientes para regressão linear:\n",
"\n",
"$$ \\beta = \\frac{\\sum^n_{n=1} x_iy_i - \\frac{1}{n} \\sum^n_{i=1} x_i \\sum^n_{j=1} y_i}{\\sum^n_{i=1} (x^2_i) - \\frac{1}{n}(\\sum^n_{i=1} x_i)^2} $$\n",
"\n",
"$$ \\alpha = \\frac{\\sum^n_{n=1} y_i}{n} - \\beta \\frac{\\sum^n_{i=1} x_i}{n} $$\n",
"\n",
"$$ f(x) = \\alpha + \\beta x$$\n",
"\n",
"*fonte: https://pt.wikipedia.org/wiki/Regress%C3%A3o_linear_simples*"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"x, y = nation.Year, nation_total_co2\n",
"n = x.count()\n",
"\n",
"beta = (sum(x*y) - 1/n * x.sum() * y.sum())/\\\n",
" (sum(x**2) - 1/n * x.sum()**2)\n",
"\n",
"alpha = y.sum()/n - beta * x.sum()/n"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = subplots()\n",
"ax.plot(x, y, label=total_co2)\n",
"ax.plot(x, alpha + beta*x, linestyle=\"--\", label=f\"linear regression: alpha = {alpha}; beta = {beta}\")\n",
"\n",
"ax.set_xlabel(\"Year\")\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## usando a função polyfit do numpy"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b, a = np.polyfit(nation.Year, nation_total_co2, 1)\n",
"\n",
"fig, ax = subplots()\n",
"ax.plot(nation.Year, nation_total_co2)\n",
"ax.plot(nation.Year, a + b*x, linestyle='--', label=f\"linear_regression: alpha = {a}; beta = {b}\")\n",
"\n",
"ax.set_xlabel(\"Year\")\n",
"ax.legend();"
]
}
],
"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": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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