これが解決策を示すサンプルです:
#!/usr/bin/env python
import pandas as pd
import matplotlib.pylab as plt
import numpy as np
data = [
(0.2, 1.3),
(1.3, 3.9),
(2.1, 4.8),
(2.9,5.5),
(3.3,6.9)
]
df = pd.DataFrame(data, columns=['X', 'Y'])
print(df)
# 2 degrees of freedom : slope / intercept
model_with_intercept = pd.ols(y=df['Y'], x=df['X'], intercept=True)
df['Y_fit_with_intercept'] = model_with_intercept.y_fitted
# 1 degree of freedom : slope ; intersept=0
model_no_intercept = pd.ols(y=df['Y'], x=df['X'], intercept=False)
df['Y_fit_no_intercept'] = model_no_intercept.y_fitted
# 1 degree of freedom : slope ; intersept=offset
offset = -1
df['Yoffset'] = df['Y'] - offset
model_with_offset = pd.ols(y=df['Yoffset'], x=df['X'], intercept=False)
df['Y_fit_offset'] = model_with_offset.y_fitted + offset
print(model_with_intercept)
print(model_no_intercept)
print(model_with_offset)
df.plot(x='X', y=['Y', 'Y_fit_with_intercept', 'Y_fit_no_intercept', 'Y_fit_offset'])
plt.show()