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Log odds

One downside to probabilities and odds for logistic regression predictions is that the prediction lines for each are curved. This makes it harder to reason about what happens to the prediction when you make a change to the explanatory variable. The logarithm of the odds (the "log odds" or "logit") does have a linear relationship between predicted response and explanatory variable. That means that as the explanatory variable changes, you don't see dramatic changes in the response metric - only linear changes.

Since the actual values of log odds are less intuitive than (linear) odds, for visualization purposes it's usually better to plot the odds and apply a log transformation to the y-axis scale.

mdl_churn_vs_relationship, explanatory_data, and prediction_data are available from the previous exercise.

This exercise is part of the course

Introduction to Regression with statsmodels in Python

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Hands-on interactive exercise

Have a go at this exercise by completing this sample code.

# Update prediction data with log_odds
____

# Print the head
print(____)
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