8- The data presented in worksheet 4 is the results of a 4-year study conducted to assess how age, weight, and gender influence the risk of diabetes. Risk is interpreted as the probability (times 100) that the patient will have diabetes over the next 4-year period. 

a) What predictive model you suggest to relate risk of diabetes to the person’s age, weight and the gender. Why? (you don’t need to build the model just explain).

b) Develop an estimated multiple regression model that relates the expected remaining life to the person’s age, weight, gender, life style and risk of diabetes. Present the regression formula as a mathematical equation. Interpret the coefficients of the regression and comment on the strength of the regression.

c) What is the expected remaining life for a 59-year-old man living in a small town with 72 kg weight and risk of 25% of diabetes?