1)Given the following model with interaction effects for predicting cholesterol reduction (CR) as a function of medical treatment (T), tobacco smoking (S) and age (Age):

CR = 0 + 12*T - 7*S - 5*(T*S) - 0.1*Age

Calculate how much less CR a smoker person who is treated would have compared to a non-smoker person with the same age who has also received treatment. T and S are dummy/binary variables that take a value of 1 when the person is treated or smoker, respectively.

2)

Given the following model for predicting cholesterol reduction (CR) as a function of medical treatment (T), exercise (E) and age (Age):

CR = 0 + 12*T + 10*E - 0.1*Age

Calculate how much more CR a person who is treated and exercises would have compared to a person of the same age who is not treated and does not exercise. T and E are dummy/binary variables that take a value of 1 when the person is treated or exercises, respectively.