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https://github.com/guezoloic/millesima_projetS6.git
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388 lines
215 KiB
Plaintext
388 lines
215 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "faafb9a0",
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"metadata": {},
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"outputs": [],
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"source": [
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"%matplotlib inline\n",
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"\n",
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"from pandas import read_csv\n",
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"from sklearn.model_selection import train_test_split\n",
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"from sklearn.preprocessing import MinMaxScaler, StandardScaler\n",
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"from sklearn.pipeline import make_pipeline\n",
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"from sklearn.linear_model import LinearRegression\n",
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"\n",
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"\n",
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"dataset = read_csv(\"clean.csv\")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "ed96ca6c",
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"metadata": {},
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"source": [
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"## Troisième jalon : Apprentissage\n",
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"\n",
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"Nous sommes prêts à passer à l’apprentissage à proprement parler. Pour ce faire, nous allons utiliser la bibliothèque scikit-learn.\n",
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"\n",
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"### Préparation de données d’apprentissage et de test\n",
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"Le but est d’estimer le prix d’un produit à partir des attributs. La colonne “Prix” correspond ainsi aux étiquettes (\"targets\"), tandis que les autres colonnes sont les attributs (\"features\").\n",
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"\n",
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"**Question 15**: Préparez la matrice de données et le vecteur des étiquettes pour votre jeu de données. Séparez les données en un jeu d’entraînement et un jeu de test, sur un base 75%/25%, en utilisant\n",
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"le paramètre random_state = 49.\n",
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"\n",
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"Nous utiliserons les notations suivantes :\n",
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"\n",
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"- X_train (resp. y_train) fait référence aux données d’apprentissage (resp. à leur étiquette),\n",
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"\n",
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"- X_test (resp. y_test) fait référence aux données de test (resp. à leur étiquette)."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "8342340f",
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"metadata": {},
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"outputs": [],
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"source": [
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"X = dataset.drop(\"Prix\", axis=1).values\n",
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"y = dataset[\"Prix\"].values\n",
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"\n",
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"X_train, X_test, y_train, y_test = train_test_split(\n",
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" X, y, test_size=0.25, random_state=49\n",
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")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "67685584",
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"metadata": {},
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"source": [
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"### Premier modèle : Régression Linéaire\n",
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"\n",
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"Dans un premier temps, nous allons appliquer une régression linéaire LinearRegression sur nos données."
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]
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},
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{
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"cell_type": "markdown",
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"id": "6b6909c3",
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"metadata": {},
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"source": [
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"**Question 16**: Évaluez ce modèle sur le jeu de test par r2_score. Rappelons qu’il s’agit de la mesure par défaut pour la fonction score() des méthodes de régression."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "99de3ed7",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"LinearRegression score[r^2]: 0.189665\n"
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]
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}
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],
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"source": [
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"lr = LinearRegression()\n",
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"lr.fit(X_train, y_train)\n",
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"print(f\"LinearRegression score[r^2]: {lr.score(X_test, y_test):.6f}\")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "f807cb05",
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"metadata": {},
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"source": [
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"**Question 17**: Nous allons Faire une comparaison entre les estimations (estim_LR) faites par le modèle pour les données de test et les prix y_test. Dessinez une figure où l’axe x représente estim_LR et l’axe y est y_test. Pensez à utiliser la fonction scatter pour représenter les points. Nous appellerons dans la suite figure de visualisation cette représentation. Rappelons que si votre modèle fonctionne bien pour ce jeu de données, vous devriez avoir les points autour de la diagonale\n",
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"où estim_LR est égal à y_test. Que constatez-vous ?"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "09eca16d",
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"metadata": {},
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"outputs": [
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{
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"data": {
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",
|
||
"text/plain": [
|
||
"<Figure size 800x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x_test_pred = lr.predict(X_test)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(8, 6))\n",
|
||
"plt.scatter(x_test_pred, y_test, label=\"Vins\")\n",
|
||
"\n",
|
||
"\n",
|
||
"mn = min(x_test_pred.min(), y_test.min())\n",
|
||
"mx = max(x_test_pred.max(), y_test.max())\n",
|
||
"\n",
|
||
"plt.plot(\n",
|
||
" [mn, mx],\n",
|
||
" [mn, mx],\n",
|
||
" color=\"red\",\n",
|
||
" linestyle=\"--\",\n",
|
||
" label=\"estim_LR = y_test\",\n",
|
||
")\n",
|
||
"\n",
|
||
"# b = lr.intercept_\n",
|
||
"# a = lr.coef_[0]\n",
|
||
"\n",
|
||
"# # coef_tendance = np.polyfit(x_test_pred, y_test, 1)\n",
|
||
"# # p = np.poly1d(coef_tendance)\n",
|
||
"# # plt.plot([mn, mx], [p(mn), p(mx)], color=\"green\", label=\"Tendance réelle du modèle\")\n",
|
||
"\n",
|
||
"plt.xlabel(\"estim_LR\")\n",
|
||
"plt.ylabel(\"y_test\")\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True, linestyle=\":\", alpha=0.6)\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "4189c565",
|
||
"metadata": {},
|
||
"source": [
|
||
"Je constate qu'il y a des bouteilles hors de prix et donc l'algorithme de regression linéaire ne prend pas suffisamment en compte ces valeurs là."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "8889cde7",
|
||
"metadata": {},
|
||
"source": [
|
||
"**Question 18**: Nous allons maintenant évaluer l’impact du pré-traitement sur nos données. En utilisant la commande make_pipeline, normalisez d’abord les données avant de lancer l’apprentissage, et évaluez le score sur le jeu de test. Répétez l’expérience, cette fois-ci en standardisant les données avant l’apprentissage. Dessinez les figures de visualisation pour les deux cas. Observez-vous les mêmes choses qu’à la question précédente ?"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"id": "b94a89f2",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"MinMaxScaler score[r^2]: 0.189665\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 800x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"StandardScaler score[r^2]: 0.189665\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 800x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"for scaler in [MinMaxScaler, StandardScaler]:\n",
|
||
" pipeline = make_pipeline(scaler(), LinearRegression())\n",
|
||
" pipeline.fit(X_train, y_train)\n",
|
||
"\n",
|
||
" x_test_pred = pipeline.predict(X_test)\n",
|
||
"\n",
|
||
" plt.figure(figsize=(8, 6))\n",
|
||
" plt.scatter(x_test_pred, y_test, label=\"Vins\")\n",
|
||
"\n",
|
||
"\n",
|
||
" mn = min(x_test_pred.min(), y_test.min())\n",
|
||
" mx = max(x_test_pred.max(), y_test.max())\n",
|
||
"\n",
|
||
" plt.plot(\n",
|
||
" [mn, mx],[mn, mx], color=\"red\",\n",
|
||
" linestyle=\"--\", label=\"estim_LR = y_test\",\n",
|
||
" )\n",
|
||
"\n",
|
||
" # b = lr.intercept_\n",
|
||
" # a = lr.coef_[0]\n",
|
||
"\n",
|
||
" # x_reg = np.linspace(X_test[0].min(), X_test[0].max(), 100)\n",
|
||
" # y_reg = a * x_reg + b\n",
|
||
" # plt.plot(x_reg, y_reg, color='red', label=f\"y = {a:.2f}x + {b:.2f}\")\n",
|
||
"\n",
|
||
" plt.xlabel(\"estim_LR\")\n",
|
||
" plt.ylabel(\"y_test\")\n",
|
||
" plt.title(scaler.__name__)\n",
|
||
" plt.legend()\n",
|
||
" plt.grid(True, linestyle=\":\", alpha=0.6)\n",
|
||
"\n",
|
||
" print(f\"{scaler.__name__} score[r^2]: {pipeline.score(X_test, y_test):.6f}\")\n",
|
||
" plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "92a737f0",
|
||
"metadata": {},
|
||
"source": [
|
||
"**Question 19**: Trouvez les valeurs minimales et maximales pour les prix dans votre dataset. Que peut-on dire de la dispersion des prix dans votre dataset ?\n",
|
||
"Dans le cas où les étiquettes sont trop dispersées, une solution pourrait être de modifier l’échelle des étiquettes. Pour ce faire, on pourrait transformer les prix de sorte que les prix utilisés dans\n",
|
||
"l’apprentissage soient ln(y[i]) à l’aide des fonctions ln et exp de la bibliothèque numphy. Quelles sont les nouvelles valeurs pour le prix minimum et maximum de votre dataset ?"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 7,
|
||
"id": "4f1c169f",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Prix Min : 6.20€\n",
|
||
"Prix Max : 17280.00€\n",
|
||
"Log Min : 1.8245\n",
|
||
"Log Max : 9.7573\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"print(f\"Prix Min : {y.min():.2f}€\")\n",
|
||
"print(f\"Prix Max : {y.max():.2f}€\")\n",
|
||
"\n",
|
||
"y_log = np.log(y)\n",
|
||
"\n",
|
||
"print(f\"Log Min : {y_log.min():.4f}\")\n",
|
||
"print(f\"Log Max : {y_log.max():.4f}\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "7feda3af",
|
||
"metadata": {},
|
||
"source": [
|
||
"**Question 20**: Après avoir éventuellement transformé les prix, remplissez le tableau suivant avec les résultats obtenus grâce à la régression linéaire, avec ou sans pré-traitement. Constatez-vous une amélioration des prédictions due au pré-traitement pour ce jeu de données et cette méthode ?\n",
|
||
"Dessinez la figure de visualisation pour la méthode qui donne le meilleur score. Que constatez-vous ?"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "e2cc7202",
|
||
"metadata": {},
|
||
"source": [
|
||
"|Méthode|r^2|\n",
|
||
"|----|----|\n",
|
||
"|LR|0.189665|\n",
|
||
"|Normalisation + LR|0.189665|\n",
|
||
"|Standardisation + LR|0.189665|"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 8,
|
||
"id": "c632df2b",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 800x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x_test_pred = lr.predict(X_test)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(8, 6))\n",
|
||
"plt.scatter(x_test_pred, y_test, label=\"Vins\")\n",
|
||
"\n",
|
||
"\n",
|
||
"mn = min(x_test_pred.min(), y_test.min())\n",
|
||
"mx = max(x_test_pred.max(), y_test.max())\n",
|
||
"\n",
|
||
"plt.plot(\n",
|
||
" [mn, mx],\n",
|
||
" [mn, mx],\n",
|
||
" color=\"red\",\n",
|
||
" linestyle=\"--\",\n",
|
||
" label=\"estim_LR = y_test\",\n",
|
||
")\n",
|
||
"\n",
|
||
"# b = lr.intercept_\n",
|
||
"# a = lr.coef_[0]\n",
|
||
"\n",
|
||
"# # coef_tendance = np.polyfit(x_test_pred, y_test, 1)\n",
|
||
"# # p = np.poly1d(coef_tendance)\n",
|
||
"# # plt.plot([mn, mx], [p(mn), p(mx)], color=\"green\", label=\"Tendance réelle du modèle\")\n",
|
||
"\n",
|
||
"plt.xlabel(\"estim_LR\")\n",
|
||
"plt.ylabel(\"y_test\")\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True, linestyle=\":\", alpha=0.6)\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "74f6654b",
|
||
"metadata": {},
|
||
"source": []
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": ".venv",
|
||
"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": "3.10.20"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|