A logistic regression model for predicting capsule =1 that included age in the model. Part of the resulting R output follows:

Coefficients:

EstimateStd. Errorz valuePr(>|z|)

(Intercept)0.384580.732120.5250.599

AGE-0.051150.03151-1.6230.105

1 The estimated logistic regression equation for model is

a.log((1-p)/P)= 0.38458 - 0.05115*AGE

b.log(p/(1-P)) = 0.38458 - 0.05115*AGE

c.log(p/(1+P) = 0.38458 - 0.05115*AGE

d.log(1-p)/(1+P) = 0.38458 - 0.05115*AGE

2 The predicted probability of having capsule = 1 for a 69-year old man is

a.P(Y=1) = exp(0.38458 - 0.05115*69) / [1-exp(0.38458 - 0.05115*69)]

b.P(Y=1) = (0.38458 - 0.05115*69) / (1- 0.38458 +0.05115*69)

c.P(Y=1) = exp(0.38458 - 0.05115*69) / [1+exp(0.38458 - 0.05115*69)]

d.P(Y=1) = (0.38458 - 0.05115*69) / (1+ 0.38458 - 0.05115*69)