diff --git a/Kennlinien_und_Fitting.ipynb b/Kennlinien_und_Fitting.ipynb index d15be25b56b39e743d856dd2757975b1d49d5a88..32cc799dda49a2ecd66286786cf4a0f8f2a2d1f2 100644 --- a/Kennlinien_und_Fitting.ipynb +++ b/Kennlinien_und_Fitting.ipynb @@ -51,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -89,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -127,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -212,109 +212,20 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[0.000e+00 0.000e+00 6.400e+01]\n", - " [1.000e-02 1.000e-01 6.400e+01]\n", - " [4.000e-02 2.000e-01 6.400e+01]\n", - " [9.000e-02 3.000e-01 6.400e+01]\n", - " [1.600e-01 4.000e-01 6.400e+01]\n", - " [2.500e-01 5.000e-01 6.400e+01]\n", - " [3.600e-01 6.000e-01 6.400e+01]\n", - " [4.900e-01 7.000e-01 6.400e+01]\n", - " [6.400e-01 8.000e-01 6.400e+01]\n", - " [8.100e-01 9.000e-01 6.400e+01]\n", - " [1.000e+00 1.000e+00 6.400e+01]\n", - " [1.210e+00 1.100e+00 6.400e+01]\n", - " [1.440e+00 1.200e+00 6.400e+01]\n", - " [1.690e+00 1.300e+00 6.400e+01]\n", - " [1.960e+00 1.400e+00 6.400e+01]\n", - " [2.250e+00 1.500e+00 6.400e+01]\n", - " [2.560e+00 1.600e+00 6.400e+01]\n", - " [2.890e+00 1.700e+00 6.400e+01]\n", - " [3.240e+00 1.800e+00 6.400e+01]\n", - " [3.610e+00 1.900e+00 6.400e+01]\n", - " [4.000e+00 2.000e+00 6.400e+01]\n", - " [4.410e+00 2.100e+00 6.400e+01]\n", - " [4.840e+00 2.200e+00 6.400e+01]\n", - " [5.290e+00 2.300e+00 6.400e+01]\n", - " [5.760e+00 2.400e+00 6.400e+01]\n", - " [6.250e+00 2.500e+00 6.400e+01]\n", - " [6.760e+00 2.600e+00 6.400e+01]\n", - " [7.290e+00 2.700e+00 6.400e+01]\n", - " [7.840e+00 2.800e+00 6.400e+01]\n", - " [8.410e+00 2.900e+00 6.400e+01]\n", - " [9.000e+00 3.000e+00 6.400e+01]\n", - " [9.610e+00 3.100e+00 6.400e+01]\n", - " [1.024e+01 3.200e+00 6.400e+01]\n", - " [1.089e+01 3.300e+00 6.400e+01]\n", - " [1.156e+01 3.400e+00 6.400e+01]\n", - " [1.225e+01 3.500e+00 6.400e+01]\n", - " [1.296e+01 3.600e+00 6.400e+01]\n", - " [1.369e+01 3.700e+00 6.400e+01]\n", - " [1.444e+01 3.800e+00 6.400e+01]\n", - " [1.521e+01 3.900e+00 6.400e+01]\n", - " [1.600e+01 4.000e+00 6.400e+01]\n", - " [1.681e+01 4.100e+00 6.400e+01]\n", - " [1.764e+01 4.200e+00 6.400e+01]\n", - " [1.849e+01 4.300e+00 6.400e+01]\n", - " [1.936e+01 4.400e+00 6.400e+01]\n", - " [2.025e+01 4.500e+00 6.400e+01]\n", - " [2.116e+01 4.600e+00 6.400e+01]\n", - " [2.209e+01 4.700e+00 6.400e+01]\n", - " [2.304e+01 4.800e+00 6.400e+01]\n", - " [2.401e+01 4.900e+00 6.400e+01]\n", - " [2.500e+01 5.000e+00 6.400e+01]\n", - " [2.601e+01 5.100e+00 6.400e+01]\n", - " [2.704e+01 5.200e+00 6.400e+01]\n", - " [2.809e+01 5.300e+00 6.400e+01]\n", - " [2.916e+01 5.400e+00 6.400e+01]\n", - " [3.025e+01 5.500e+00 6.400e+01]\n", - " [3.136e+01 5.600e+00 6.400e+01]\n", - " [3.249e+01 5.700e+00 6.400e+01]\n", - " [3.364e+01 5.800e+00 6.400e+01]\n", - " [3.481e+01 5.900e+00 6.400e+01]\n", - " [3.600e+01 6.000e+00 6.400e+01]\n", - " [3.721e+01 6.100e+00 6.400e+01]\n", - " [3.844e+01 6.200e+00 6.400e+01]\n", - " [3.969e+01 6.300e+00 6.400e+01]\n", - " [4.096e+01 6.400e+00 6.400e+01]\n", - " [4.225e+01 6.500e+00 6.400e+01]\n", - " [4.356e+01 6.600e+00 6.400e+01]\n", - " [4.489e+01 6.700e+00 6.400e+01]\n", - " [4.624e+01 6.800e+00 6.400e+01]\n", - " [4.761e+01 6.900e+00 6.400e+01]\n", - " [4.900e+01 7.000e+00 6.400e+01]\n", - " [5.041e+01 7.100e+00 6.400e+01]\n", - " [5.184e+01 7.200e+00 6.400e+01]\n", - " [5.329e+01 7.300e+00 6.400e+01]\n", - " [5.476e+01 7.400e+00 6.400e+01]\n", - " [5.625e+01 7.500e+00 6.400e+01]\n", - " [5.776e+01 7.600e+00 6.400e+01]\n", - " [5.929e+01 7.700e+00 6.400e+01]\n", - " [6.084e+01 7.800e+00 6.400e+01]\n", - " [6.241e+01 7.900e+00 6.400e+01]\n", - " [6.400e+01 8.000e+00 6.400e+01]\n", - " [6.561e+01 8.100e+00 6.400e+01]\n", - " [6.724e+01 8.200e+00 6.400e+01]\n", - " [6.889e+01 8.300e+00 6.400e+01]\n", - " [7.056e+01 8.400e+00 6.400e+01]\n", - " [7.225e+01 8.500e+00 6.400e+01]\n", - " [7.396e+01 8.600e+00 6.400e+01]\n", - " [7.569e+01 8.700e+00 6.400e+01]\n", - " [7.744e+01 8.800e+00 6.400e+01]\n", - " [7.921e+01 8.900e+00 6.400e+01]\n", - " [8.100e+01 9.000e+00 6.400e+01]]\n" + "R^20.9998289611292903\n", + "R^20.9994449560888792\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "<Figure size 640x480 with 2 Axes>" ] @@ -353,12 +264,15 @@ "n=set()\n", "for x in df.index:\n", " n.add(df['n'].get(x))\n", - "Q=np.linspace(0,9,91).reshape(-1,1)\n", + "Q=np.linspace(0,9,181).reshape(-1,1)\n", "for i in range(9):\n", - " X=np.append(np.append(np.square(Q),Q*n.pop(),axis=1),np.ones((91,1))*(i**2),axis=1) \n", - " ax1.plot(X,LR_H.predict(X))\n", - "#ax2.plot(df['Q'].to_numpy(),LR_P.predict(X2))\n", - "print(X)" + " n_plt=n.pop()\n", + " X_plt=np.append(np.append(Q*Q, Q*n_plt,axis=1),np.ones((181,1))*n_plt**2,axis=1) \n", + " X2_plt=np.append(np.append(np.append(Q*Q*Q, Q*Q*n_plt,axis=1),Q*(n_plt**2),axis=1),np.ones((181,1))*(n_plt**3),axis=1)\n", + " ax1.plot(Q,LR_H.predict(X_plt),'o',ms=1.5)\n", + " ax2.plot(Q,LR_P.predict(X2_plt),'o',ms=1.5)\n", + "print(f'R^2{LR_H.score(X,df['H'])}')\n", + "print(f'R^2{LR_P.score(X2,df['P'])}')" ] }, {