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get ols regression results with for loop for dataframe against a constant

import pandas as pd
import numpy as np
import statsmodels.api as sm

df = pd.DataFrame(np.random.randint(low=0, high=10, size=(5, 5)), 
                  columns=['Historic_Rate', 'Overnight', '1M', '3M', '6M'])

fit_d = {}  # This will hold all of the fit results and summaries
for col in [x for x in df.columns if x != 'Historic_Rate']:
    Y = df['Historic_Rate'] - df['Historic_Rate'].shift(1)
    # Need to remove the NaN for fit
    Y = Y[Y.notnull()]

    X = df[col] - df[col].shift(1)
    X = X[X.notnull()]

    X = sm.add_constant(X)  # Add a constant to the fit

    fit_d[col] = sm.OLS(Y,X).fit()
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