diff --git a/module3/exo3/exercice_fr.ipynb b/module3/exo3/exercice_fr.ipynb index d5133759b8f3d9becba5becb1bbe7bdaab220b19..6e0370fb1fb525266801a6da432f635bdb3732d8 100644 --- a/module3/exo3/exercice_fr.ipynb +++ b/module3/exo3/exercice_fr.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 11, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -25,7 +25,7 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -990,7 +990,7 @@ "[816 rows x 10 columns]" ] }, - "execution_count": 82, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -1009,7 +1009,7 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -1974,7 +1974,7 @@ "[802 rows x 10 columns]" ] }, - "execution_count": 85, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -1995,19 +1995,16 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -2031,7 +2028,7 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -2042,7 +2039,7 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -2072,7 +2069,7 @@ }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -2085,7 +2082,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -2115,8 +2112,10 @@ }, { "cell_type": "code", - "execution_count": 96, - "metadata": {}, + "execution_count": 11, + "metadata": { + "scrolled": true + }, "outputs": [ { "data": { @@ -2142,6 +2141,176 @@ "plt.tight_layout()\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "seasonal_mean_by_month = df.groupby('Mn')['Seasonal'].mean()\n", + "\n", + "seasonal_mean_by_month.plot(kind='line', marker='o')\n", + "plt.title(\"Cycle saisonnier moyen (moyenne par mois)\")\n", + "plt.xlabel(\"Mois\")\n", + "plt.ylabel(\"Déviation saisonnière (ppm)\")\n", + "plt.grid(True)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Modèle : CO2_tendance = 0.1377 * temps + 305.62\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.linear_model import LinearRegression\n", + "\n", + "# On nettoie : supprimer les lignes avec NaN dans 'Trend'\n", + "df_trend = df.dropna(subset=['Trend']).copy()\n", + "\n", + "# Créer une variable temporelle : nombre de mois depuis le début\n", + "df_trend['Time'] = np.arange(len(df_trend))\n", + "\n", + "# Modèle linéaire\n", + "X = df_trend[['Time']]\n", + "y = df_trend['Trend']\n", + "\n", + "model = LinearRegression()\n", + "model.fit(X, y)\n", + "\n", + "# Coefficients\n", + "a = model.coef_[0]\n", + "b = model.intercept_\n", + "print(f\"Modèle : CO2_tendance = {a:.4f} * temps + {b:.2f}\")\n", + "\n", + "# Prédictions sur les données existantes\n", + "df_trend['PredictedTrend'] = model.predict(X)\n", + "\n", + "# Étendre jusqu’à fin 2025\n", + "last_time = df_trend['Time'].iloc[-1]\n", + "future_months = pd.date_range(start=df_trend.index[-1] + pd.offsets.MonthBegin(),\n", + " end='2030-12-01',\n", + " freq='MS')\n", + "future_time = np.arange(last_time + 1, last_time + 1 + len(future_months))\n", + "\n", + "# Prédictions futures\n", + "future_trend = model.predict(future_time.reshape(-1, 1))\n", + "\n", + "# Créer un DataFrame pour les prédictions futures\n", + "df_future = pd.DataFrame({\n", + " 'PredictedTrend': future_trend\n", + "}, index=future_months)\n", + "\n", + "# Affichage\n", + "plt.figure(figsize=(12, 6))\n", + "plt.plot(df_trend.index, df_trend['Trend'], label='Tendance observée', color='blue')\n", + "plt.plot(df_trend.index, df_trend['PredictedTrend'], label='Régression linéaire (ajustée)', linestyle='--', color='orange')\n", + "plt.plot(df_future.index, df_future['PredictedTrend'], label='Extrapolation jusqu’à 2030', color='red')\n", + "plt.title(\"Modèle de tendance linéaire du CO2 et extrapolation\")\n", + "plt.xlabel(\"Date\")\n", + "plt.ylabel(\"CO2 (ppm)\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.preprocessing import PolynomialFeatures\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.pipeline import make_pipeline\n", + "\n", + "# Assure-toi que df_trend contient les colonnes 'Time' et 'Trend' (comme dans la version précédente)\n", + "# Sinon, reprends les mêmes étapes de nettoyage\n", + "\n", + "# Créer un pipeline avec transformation polynomiale degré 2\n", + "model_poly = make_pipeline(PolynomialFeatures(degree=2), LinearRegression())\n", + "X = df_trend[['Time']]\n", + "y = df_trend['Trend']\n", + "model_poly.fit(X, y)\n", + "\n", + "# Prédictions actuelles\n", + "df_trend['PredictedTrendPoly'] = model_poly.predict(X)\n", + "\n", + "# Prédictions futures jusqu’en 2030\n", + "future_months = pd.date_range(start=df_trend.index[-1] + pd.offsets.MonthBegin(), end='2030-12-01', freq='MS')\n", + "future_time = np.arange(df_trend['Time'].iloc[-1] + 1, df_trend['Time'].iloc[-1] + 1 + len(future_months))\n", + "future_poly = model_poly.predict(future_time.reshape(-1, 1))\n", + "\n", + "# Créer DataFrame des prédictions futures\n", + "df_future_poly = pd.DataFrame({\n", + " 'PredictedTrendPoly': future_poly\n", + "}, index=future_months)\n", + "\n", + "# Affichage\n", + "plt.figure(figsize=(12, 6))\n", + "plt.plot(df_trend.index, df_trend['Trend'], label='Tendance observée', color='blue')\n", + "plt.plot(df_trend.index, df_trend['PredictedTrendPoly'], label='Régression quadratique (ajustée)', linestyle='--', color='orange')\n", + "plt.plot(df_future_poly.index, df_future_poly['PredictedTrendPoly'], label='Extrapolation jusqu’en 2030', color='green')\n", + "plt.title(\"Modèle quadratique de la tendance CO2 et extrapolation\")\n", + "plt.xlabel(\"Date\")\n", + "plt.ylabel(\"CO2 (ppm)\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] } ], "metadata": {