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Least-squares factor model

As you've seen, there is a negative correlation between minimum quarterly returns and mortgage delinquency rates from 2005 - 2010. This can be made more precise with an OLS regression factor model.

You'll compare three factor models with three different quarterly dependent variables: average returns, minimum returns, and average volatility. The independent variable is the mortgage delinquency rate. In the regression summary, examine the coefficients' t-statistic for statistical significance, as well as the overall R-squared for goodness of fit.

The statsmodels.api library is available as sm.

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Quantitative Risk Management in Python

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Esercizio pratico interattivo

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# Add a constant to the regression
mort_del = sm.add_constant(mort_del)

# Create the regression factor model and fit it to the data
results = sm.____(____, mort_del).fit()

# Print a summary of the results
print(results.summary())
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