Use the Intensive Care Unit data set to answer the following:

(a) Fit the logistic regression interaction model with vital status (STA) as the response variable with age (AGE), CPR prior to admission (CPR), systolic blood pressure at admission (SYS), and heart rate at admission (HRA) as the explanatory variables.

(b) Test the goodness-of-fit of the model in part(a).

(c) Fit the logistic regression model with vital status (STA) as the response variable with age (AGE) and CPR prior to admission (CPR) as the explanatory variables.

(d) Compare the fit of the model in part

(a) against the model fit in part

(c) using a drop-in-deviance test.

(e) Which model appears to be a better model for explaining the response variable?

Explain.