Module 10 Summary
What this module established
A probability cannot be negative, and a straight line has no way of knowing that — a linear model on a churn indicator predicted -0.065 and -0.471. Logistic regression models the unbounded log-odds instead.
Carry forward
- Coefficients are log-odds; exponentiated they are odds ratios. With a churn rate of 0.533, an odds ratio of 2.58 badly overstates the risk ratio.
- Build prediction intervals on the link scale and convert afterwards, so they never leave [0, 1].
- On a 5% positive rate the model scored 0.949 accuracy while catching 0 of 102 positives — identical to a rule that always says no.
- Calibration is checkable; the threshold is not a statistical question. The same model caught 989 or 43 positives depending on the cut-off.
Before moving on
Move on when your report gives predicted probabilities rather than coefficients, and your threshold has a stated justification.
