如何在 scikit learn 中为多元回归绘制最佳拟合平面？

Posted 2023-03-12

【中文标题】如何在 scikit learn 中为多元回归绘制最佳拟合平面？

【英文标题】：How to draw best fit plane for multi variant regression in scikit learn?

【发布时间】：2020-05-28 18:25:39

【问题描述】：

我不是软件背景，但我正在学习回归技术来预测运动数据。 我有使用多变量回归的 3d 数据。 结果很好。但现在我想为这些数据可视化最好的冷杉飞机。 以下是我从不同站点复制粘贴的代码，以尝试可视化我的数据。

X_final=df3[['Ampere','Voltage']]
y_final=df3[['ReactivePower']].copy() #copy column data in to y_final

X_final=X_final.dropna()
y_final=y_final.dropna()

X_train, X_test, y_train, y_test = train_test_split(X_final, y_final, test_size = 0.33, random_state = 0 )


lr = LinearRegression().fit(X_train,y_train)
y_train_pred = lr.predict(X_train)
y_test_pred = lr.predict(X_test)

#print score
print("lr.coef_: ".format(lr.coef_))
print("lr.intercept_: ".format(lr.intercept_))
print('lr train score %.3f, lr test score: %.3f' % (
lr.score(X_train,y_train),
lr.score(X_test, y_test)))

# Visualize the Data for Multiple Linear Regression
x_surf, y_surf = np.meshgrid(np.linspace(df3.Voltage.min(), df3.Voltage.max()),np.linspace(df3.Ampere.min(), df3.Ampere.max()))
y_train_pred_random= y_train_pred[np.random.choice(y_train_pred.shape[0], 2500, replace=False), :]
y_train_pred_random=np.array(y_train_pred_random)
y_train_pred1=y_train_pred_random.reshape(x_surf.shape)

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter(df3['Voltage'],df3['Ampere'],df3['ReactivePower'],c='red', marker='o', alpha=0.5)
ax.plot_surface(x_surf,y_surf,y_train_pred1,rstride=1, cstride=1, color='b', alpha=0.3)
ax.set_xlabel('Voltage')
ax.set_ylabel('Ampere')
ax.set_zlabel('Reactive Power')
plt.show()

当我运行可视化代码时，我得到以下图表，

请帮忙

【问题讨论】：

显示原始数据图。您可以尝试使用一些 3d 功能平滑表面

【参考方案1】：

是的，我在网上解决了一些问题，

这里是代码，

#Test train split mullti variant
X_final=df3[['Ampere','Voltage']]
y_final=df3[['ReactivePower']].copy() #copy column data in to y_final

X_final=X_final.dropna()
y_final=y_final.dropna()

X_train, X_test, y_train, y_test = train_test_split(X_final, y_final, test_size = 0.33, random_state = 0 )

lr = LinearRegression().fit(X_train,y_train)
y_train_pred = lr.predict(X_train)
y_test_pred = lr.predict(X_test)

#print score
print("lr.coef_: ".format(lr.coef_))
print("lr.intercept_: ".format(lr.intercept_))
print('lr train score %.3f, lr test score: %.3f' % (
lr.score(X_train,y_train),
lr.score(X_test, y_test)))

# Visualize the Data for Multiple Linear Regression
x_surf, y_surf = np.meshgrid(np.linspace(df3.Ampere.min(), df3.Ampere.max()),np.linspace(df3.Voltage.min(), df3.Voltage.max()))

z_surf=lr.coef_[0,0]*x_surf+lr.coef_[0,1]*y_surf+lr.intercept_

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.scatter(df3['Ampere'],df3['Voltage'],df3['ReactivePower'],c='red', marker='o', alpha=0.5)
ax.plot_surface(x_surf,y_surf,z_surf,rstride=1, cstride=1, color='b', alpha=0.3)
ax.set_xlabel('Ampere')
ax.set_ylabel('Voltage')
ax.set_zlabel('Reactive Power')
plt.show()

剧情如下，

谢谢，