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早安/晚安,我有一个简单的问题,并针对我的编码问题进行了研究。

这是关于非线性和线性回归的图表

这是我使用的原始数据

我稍后会查看我的图表中的线性回归:

import statsmodels.api as sm
#for the linear regression equations on HLOG plotted graph
#define response variable
y = b

#define explanatory variable
x = a1

#add constant to predictor variables
x = sm.add_constant(x)

#fit linear regression model
model = sm.OLS(y, x).fit()

#view model summary
print(model.summary())

 OLS Regression Results                            
==============================================================================
Dep. Variable:                      y   R-squared:                       0.782
Model:                            OLS   Adj. R-squared:                  0.781
Method:                 Least Squares   F-statistic:                     1729.
Date:                Sun, 21 Nov 2021   Prob (F-statistic):          1.10e-161
Time:                        08:40:03   Log-Likelihood:                -1319.0
No. Observations:                 485   AIC:                             2642.
Df Residuals:                     483   BIC:                             2650.
Df Model:                           1                                         
Covariance Type:            nonrobust                                         
==============================================================================
                 coef    std err          t      P>|t|      [0.025      0.975]
------------------------------------------------------------------------------
const        -12.6145      0.338    -37.300      0.000     -13.279     -11.950
x1            -1.4197      0.034    -41.576      0.000      -1.487      -1.353
==============================================================================
Omnibus:                       43.065   Durbin-Watson:                   0.014
Prob(Omnibus):                  0.000   Jarque-Bera (JB):               52.374
Skew:                          -0.752   Prob(JB):                     4.24e-12
Kurtosis:                       3.577   Cond. No.                         20.2
==============================================================================

Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.

我的线性回归方程是y = -12.6145-1.4197x 我指的是Linear regression

从这里开始,我很困惑该怎么做。我搜索它以区分我需要从我的图表中的一个方程。后来我可以使用bisection方法或fsolve方法

作为参考,我看到一个完美地拟合图表。牛顿多项式插值

在我完成线性回归后,谁能给我任何建议,让我从图中提取方程?

先感谢您。

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