logit (Â(Y = 1)) : What is the value of  ? -1.131 + ß* Finasteride
The drug Finasteride is marketed as Propecia to help protect against male pattern baldness, and it also may protect against prostate cancer. A large sampleof healthy men over age 55 were randomly assigned to receive either a daily Finasteride pill or a placebo. The study lasted seven years and the men had annual check-ups and a biopsy at the end of the study. Prostate cancer was found in 804 of 4368 men taking Finasteride and in 1145 of the 4692 men taking a placebo.
Suppose that the investigators want to control for whether a subject is over 60 years old in the logistic model from part (g) above. Let the variable Over60 = 1 if a subject is over 60 and 0 otherwise. They fit a logistic model with both Finasteride and Over60 as the predictors and obtain the following:
Coefficients:
| Estimate | Std. Error | z value | Pr(>|z|) | ||
| (Intercept) | -1.88067 | 0.05075 | -37.059 | < 2e-16 | *** |
| Finasteride | -0.34736 | 0.05355 | -6.486 | 8.79e-11 | *** |
| Over60 | 1.32285 | 0.05589 | 23.670 | < 2e-16 | *** |
What is the estimated odds ratio associated with the coefficient for the Over60 predictor? What is the interpretation?
Suppose that you decide to fit a logistic regression model using these data. Let Y = 1 if a subject develops cancer and 0 otherwise. Let Finasteride = 1 if a subject received Finasteride and 0 if they received placebo. The estimated logistic model is (below). What is the value of hat-b, a, b, c, d, or e?
a.) -0.331 b.) -0.329 c.) -0.123 d.) -0.347 e.) -0.358
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