Exercise

# Interpretation of logistic regression

The fitted coefficient \(\hat{\beta}_1\) from the medical school logistic regression model is 5.45. The exponential of this is 233.73.

Donald's GPA is 2.9, and thus the model predicts that the probability of him getting into medical school is 3.26%. The odds of Donald getting into medical school are 0.0337, or—phrased in gambling terms—29.6:1. If Donald hacks the school's registrar and changes his GPA to 3.9, then which of the following statements is **FALSE**:

Instructions

**50 XP**

##### Possible Answers

- His expected odds of getting into medical school improve to 7.8833 (or about 9:8).
- His expected probability of getting into medical school improves to 88.7%.
- His expected log-odds of getting into medical school improve by 5.45.
- His expected probability of getting into medical school improves to 7.9%.