{
"cells": [
{
"cell_type": "markdown",
"id": "d7a485cd-5bcc-44bc-a971-5ab8d58a17fc",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Análisis de Relaciones\n",
"===\n",
"\n",
"* 10:33 min | Última modificación: Ocutbre 13, 2021"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "0cfedb39-3ef3-4a4e-b4b9-0306f6a98a47",
"metadata": {},
"outputs": [],
"source": [
"import warnings\n",
"\n",
"warnings.filterwarnings(\"ignore\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "31325b42-65f6-43bc-8408-4a999ce8449c",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"id": "579e5586-d2a5-4c1d-bdeb-08f228fd4734",
"metadata": {},
"source": [
"Definición del problema \n",
"---"
]
},
{
"cell_type": "markdown",
"id": "b9653db0-91ed-459b-91e4-dec7e3014213",
"metadata": {},
"source": [
"El [conjunto de datos de la flor Iris](https://es.wikipedia.org/wiki/Iris_flor_conjunto_de_datos) contiene 150 muestras de las medidas del ancho y el largo del pétalo y del sépalo para las tres especies de esta flor (Iris setosa, Iris virginica e Iris versicolor). A partir de la muestra de datos se desean responder la siguiente pregunta:\n",
"\n",
"* **P4**.--- ¿Qué relación existe entre el largo y el ancho del pétalo y el sépalo?"
]
},
{
"cell_type": "markdown",
"id": "5fdd5619-3187-43c6-ae0b-430febf68673",
"metadata": {},
"source": [
"Carga de datos\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "f48de899-7ced-48f3-97f7-307146dfd3ab",
"metadata": {},
"outputs": [
{
"data": {
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" sepal_length sepal_width petal_length petal_width species\n",
"0 5.1 3.5 1.4 0.2 setosa\n",
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"3 4.6 3.1 1.5 0.2 setosa\n",
"4 5.0 3.6 1.4 0.2 setosa"
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
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" sepal_width \n",
" petal_length \n",
" petal_width \n",
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" \n",
" \n",
" \n",
" \n",
" 145 \n",
" 6.7 \n",
" 3.0 \n",
" 5.2 \n",
" 2.3 \n",
" virginica \n",
" \n",
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" 5.0 \n",
" 1.9 \n",
" virginica \n",
" \n",
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" 5.2 \n",
" 2.0 \n",
" virginica \n",
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" sepal_length sepal_width petal_length petal_width species\n",
"145 6.7 3.0 5.2 2.3 virginica\n",
"146 6.3 2.5 5.0 1.9 virginica\n",
"147 6.5 3.0 5.2 2.0 virginica\n",
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"output_type": "display_data"
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],
"source": [
"#\n",
"# Se cargan los datos y se realiza una inspección\n",
"# inicial de la tabla y los datos\n",
"#\n",
"iris = sns.load_dataset(\"iris\")\n",
"\n",
"display(iris.head(), iris.tail())"
]
},
{
"cell_type": "markdown",
"id": "7bc564e5-776c-438a-bad1-c8ebbb2e8032",
"metadata": {
"tags": []
},
"source": [
"Análisis \n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "31261862-3666-44c1-bdb8-5740d31f5553",
"metadata": {},
"outputs": [],
"source": [
"iris_melt = pd.melt(\n",
" iris,\n",
" id_vars=\"species\",\n",
" var_name=\"Variables\",\n",
" value_name=\"Values\",\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "477472c4-d40e-4d21-86af-3ec6f2ade54d",
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.relplot(\n",
" x=\"petal_width\",\n",
" y=\"petal_length\",\n",
" col=\"species\",\n",
" data=iris,\n",
")\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "a4cd289f-53f4-4612-b276-5304d1d10659",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.relplot(\n",
" x=\"sepal_width\",\n",
" y=\"sepal_length\",\n",
" col=\"species\",\n",
" data=iris,\n",
")\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "7422a164-cf76-46cc-bb4c-23f5d69fc67f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(\n",
" data=iris,\n",
" x=\"petal_width\",\n",
" y=\"petal_length\",\n",
" hue=\"species\",\n",
" kind=\"kde\",\n",
")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "f579c0fa-b26c-4baa-84bb-857f3913efd5",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(\n",
" data=iris,\n",
" x=\"sepal_width\",\n",
" y=\"sepal_length\",\n",
" hue=\"species\",\n",
" kind=\"kde\",\n",
")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "5561244a-0d91-4496-bbc0-795661503078",
"metadata": {},
"source": [
"**Covarianza**"
]
},
{
"cell_type": "markdown",
"id": "4d0cf673-9dc5-4fba-b10f-f99aaa26d4aa",
"metadata": {},
"source": [
"$$\n",
"\\text{Cov}(x, y) = \n",
"\\frac{1}{n-1}\n",
"\\sum_{i=1}^n (x_i - \\bar{x}) (y_i - \\bar{y})\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "d9e00b02-5e58-430b-bee5-5d7a485918c2",
"metadata": {},
"source": [
""
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "182ed31c-1382-4a59-adcb-38aa0eeeeebb",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[3.11627785, 1.27431544],\n",
" [1.27431544, 0.68569351]])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.cov(iris.petal_length, iris.sepal_length)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "7845888e-744a-4071-9818-cf1f318e3b2b",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" sepal_length \n",
" sepal_width \n",
" petal_length \n",
" petal_width \n",
" \n",
" \n",
" \n",
" \n",
" sepal_length \n",
" 0.685694 \n",
" -0.042434 \n",
" 1.274315 \n",
" 0.516271 \n",
" \n",
" \n",
" sepal_width \n",
" -0.042434 \n",
" 0.189979 \n",
" -0.329656 \n",
" -0.121639 \n",
" \n",
" \n",
" petal_length \n",
" 1.274315 \n",
" -0.329656 \n",
" 3.116278 \n",
" 1.295609 \n",
" \n",
" \n",
" petal_width \n",
" 0.516271 \n",
" -0.121639 \n",
" 1.295609 \n",
" 0.581006 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width\n",
"sepal_length 0.685694 -0.042434 1.274315 0.516271\n",
"sepal_width -0.042434 0.189979 -0.329656 -0.121639\n",
"petal_length 1.274315 -0.329656 3.116278 1.295609\n",
"petal_width 0.516271 -0.121639 1.295609 0.581006"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris.cov()"
]
},
{
"cell_type": "markdown",
"id": "1a529d7f-db6a-4155-b611-ad6b61f9a045",
"metadata": {},
"source": [
"**Coeficiente de correlación** \n",
"\n",
"Métrica que representa la dependencia entre una variable y otra. El coeficiente de correlación de Pearson $r$ entre dos variables $x$ y $y$ se calcula como:\n",
"\n",
"$$r=\\frac{\\sum_{i=1}^n (x_i - \\bar{x}) (y_i - \\bar{y})}\n",
" {(n-1)\\; s_X \\; s_Y}$$\n",
"\n",
"\n",
"La correlación va entre $-1$ (correlación perfecta negativa) y $+1$ (correlación perfecta positiva). Un valor de $0$ indica que no hay correlación."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "1d914636-d983-4949-b70c-d8633165dd6d",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([[1. , 0.87175378],\n",
" [0.87175378, 1. ]])"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.corrcoef(iris.sepal_length, iris.petal_length)"
]
},
{
"cell_type": "markdown",
"id": "37f0a81f-521d-4965-a5fd-d18c4028fe5e",
"metadata": {},
"source": [
"**Matriz de correlación**\n",
"\n",
"Matriz donde cada fila y cada columna corresponde a una variable, y los elementos corresponden a la correlación entre las respectivas variables."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "7c06aeba-1f58-4dde-b6f3-d566e5162541",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" sepal_length \n",
" sepal_width \n",
" petal_length \n",
" petal_width \n",
" \n",
" \n",
" \n",
" \n",
" sepal_length \n",
" 1.000000 \n",
" -0.117570 \n",
" 0.871754 \n",
" 0.817941 \n",
" \n",
" \n",
" sepal_width \n",
" -0.117570 \n",
" 1.000000 \n",
" -0.428440 \n",
" -0.366126 \n",
" \n",
" \n",
" petal_length \n",
" 0.871754 \n",
" -0.428440 \n",
" 1.000000 \n",
" 0.962865 \n",
" \n",
" \n",
" petal_width \n",
" 0.817941 \n",
" -0.366126 \n",
" 0.962865 \n",
" 1.000000 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width\n",
"sepal_length 1.000000 -0.117570 0.871754 0.817941\n",
"sepal_width -0.117570 1.000000 -0.428440 -0.366126\n",
"petal_length 0.871754 -0.428440 1.000000 0.962865\n",
"petal_width 0.817941 -0.366126 0.962865 1.000000"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris.corr()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "4a7ab15c-e286-4878-abf1-bc74b399de0b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(\n",
" iris.corr(),\n",
" xticklabels=iris.columns.values,\n",
" yticklabels=iris.columns.values,\n",
")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "c7c7c035-033c-4931-b22c-4e657cc1a2c7",
"metadata": {},
"source": [
"**Regresión**"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "64f9d495-a483-4762-9892-b7951e53a198",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(\n",
" x=\"petal_width\",\n",
" y=\"petal_length\",\n",
" data=iris,\n",
" hue=\"species\",\n",
")\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "11116bcd-272f-456b-88cc-6864edcb2ae9",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(\n",
" x=\"sepal_width\",\n",
" y=\"sepal_length\",\n",
" data=iris,\n",
" hue=\"species\",\n",
")\n",
"\n",
"plt.show()"
]
}
],
"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": "3.6.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}