{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"vérification modèle.ipynb","provenance":[],"collapsed_sections":[],"authorship_tag":"ABX9TyMgtk2AOq9pjBMtFGXFjdbl"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"QgxHrmyffgVe","executionInfo":{"status":"ok","timestamp":1632734371019,"user_tz":-120,"elapsed":1132,"user":{"displayName":"Lionnel Malara","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg9uzWMkTid1qlQikWp7IMi29R7n5oSh3ECmY5O=s64","userId":"16342666118884215780"}},"outputId":"f81912b8-ae16-462f-9ecb-f0ef4ce99782"},"source":["import matplotlib.pyplot as plt\t#Importe la bibliothèque pour tracer des graphiques\n","import numpy as np\t\t\t#Importe la bibliothèque pour faire divers calculs\n","\n","x = np.array([0, 184, 349, 526, 867, 1198, 1877, 2315])\n","#contient les valeurs x auxquelles ont été mesurées celles de y\n","y = np.array([ 0.85441533,  0.73236789,  0.64710324,  0.51282363,  0.3074847,   0.10436002,\n"," -0.32850407, -0.597837  ])\n","\n","#contient les valeurs de y correspondantes\n","\n","#Régression linéaire avec np.polyfit\n","\n","p=np.polyfit(x,y,1)\t#Régression linéaire de y en fonction de x (équation y = p[0]*x+p[1])\n","\n","#Représentation du modèle et des points expérimentaux pour visualiser la concordance à l’œil\n","\n","plt.figure(1)\n","plt.plot(x,np.polyval(p,x),label='régression linéaire')\t#Tracé de la droite de régression\n","plt.plot(x,y,'b+',label='légende à adapter')\n","#Représente y en fonction de x avec des croix bleues avec une étiquette pour la courbe\n","plt.xlabel('légende à adapter')\t#Légende de l’axe des abscisses\n","plt.ylabel('légende à adapter')\t#Légende de l’axe des ordonnées\n","plt.title('vérification du modèle à l\\'oeil')\t#Titre du graphe\n","plt.legend()\t\t\t\t#Affiche l’étiquette de la courbe\n","plt.grid()\t\t\t\t#Affiche le quadrillage\n","plt.show()\t\t\t\t#Affiche le graphique\n","print('pente =',p[0]) \t\t\t#Affiche la pente de la droite \n","print('y0 =',p[1]) \t\t\t#Affiche l’ordonnée à l’origine\n","\n","#Rajout des barres d’incertitude élargie sur la grandeur portée en y\n","\n","u_y=.01\t\t\t#Incertitude-type sur la grandeur portée en ordonnée\n","\n","p=np.polyfit(x,y,1)\t#Régression linéaire de y en fonction de x (équation y = p[0]*x+p[1])\n","\n","#Représentation du modèle, des points expérimentaux et les barres d’incertitude élargie pour visualiser la concordance (le modèle doit couper toutes les barres d’incertitude)\n","\n","plt.figure(2)\n","plt.errorbar(x,y,yerr=2*u_y,fmt='.r',label='barre d\\'incertitude élargie')\n","#Ajoute les barres d’incertitude élargie en rouge (ici 2 fois u_y)\n","plt.plot(x,np.polyval(p,x),label='régression linéaire')\t#Tracé de la droite de régression\n","plt.xlabel('légende à adapter')\t#Légende de l’axe des abscisses\n","plt.ylabel('légende à adapter')\t#Légende de l’axe des ordonnées\n","plt.title('vérification du modèle avec les barres d\\'incertitude élargie')\t#Titre du graphe\n","plt.legend()\t\t\t\t#Affiche l’étiquette de la courbe\n","plt.grid()\t\t\t\t#Affiche le quadrillage\n","plt.show()\t\t\t\t#Affiche le graphique\n","\n","# Tracé des résidus\n","\n","res_y=y-np.polyval(p,x)\n","#Calcule les résidus entre les valeurs expérimentales et celles de la régression linéaire\n","\n","#Représentation des résidus (les barres d’incertitude doivent couper la droite y = 0)\n","\n","plt.figure(3)\n","plt.errorbar(x, res_y, yerr = 2*u_y, fmt='.g',label='résidus + barre d\\'incertitude élargie') \n","#Ajoute les barres d’incertitude élargie en vert (ici 2 fois u_y)\n","plt.plot([np.min(x), np.max(x)], [0, 0]) #Trace une droite confondue avec l’axe des x en bleu clair\n","plt.xlabel('légende à adapter') #Légende de l’axe des abscisses\n","plt.title('tracé des résidus') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n","\n","# Tracé des écarts normalisés z\n","\n","z = (y-np.polyval(p,x))/(u_y)\n","#Calcule les écarts normalisés entre les valeurs expérimentales et celles de la régression linéaire en fonction de l’incertitude-type\n","\n","#Représentation des écarts normalisés (les écarts normalisés doivent être compris entre -2 et 2)\n","\n","plt.figure(4)\n","plt.plot(x, z,'bo',label='écarts normalisés') #Trace les points en bleu pour chaque écart normalisé\n","plt.xlabel('légende à adapter') #Légende de l’axe des abscisses\n","plt.title('tracé des écarts normalisés') #Titre du graphe\n","plt.legend() #Affiche l’étiquette de la courbe\n","plt.grid() #Affiche le quadrillage\n","plt.show() #Affiche le graphique\n"],"execution_count":8,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}},{"output_type":"stream","name":"stdout","text":["pente = -0.0006277157041615031\n","y0 = 0.8530727289556947\n"]},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure 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\n","text/plain":["<Figure 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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]}]}