10.23 Sinking of the Titanic. In Exercises 9.27-9.32, we considered

data on the passengers who survived and those who died when the

oceanliner Titanic sank on its maiden voyage in 1912. The dataset

in Titanic includes the following variables:

Age which gives the passenger's age in years

Sex which gives the passenger's sex (male or female)

Survived a binary variable, where 1 indicates the passenger survived

and 0 indicates death

SexCode which numerically codes male as 0 and female as 1

a. In Exercises 9.27-9.31, you fit separate logistic regression

models for the binary response Survived using Age and

then SexCode. Now fit a multiple logistic model using these

two predictors. Write down both the logit and probability

forms for the fitted model.

b. Comment on the effectiveness of each of the predictors in the two-predictor model.

c. According to the fitted model, estimate the probability and

odds that an 18-year-old man would survive the Titanic

sinking.

d. Repeat the calculations for an 18-year-old woman and find

the odds ratio compared to a man of the same age.

e. Redo both (b) and (c) for a man and woman of age 50.