A statistician wanted to develop a model to predict how long individuals will live. After consulting a number of physicians, she collected the age at death in years (y), the average number of hours of exercise per week (x1), the cholesterol level in mg/dL (x2), and the number of points that the individual's blood pressure exceeded a recommended value (x3). A random sample of 50 individuals was selected. The computer output of the multiple regression model is shown below:

ANOVA:

d.f. sum of squares mean square F

Regression 3 536 178.66 2.831

Residual 46 2903 63.11

Total 49 3439

R Square= 0.1559

Coefficient Std. error t Stat

(constant) 52.4 11.8 4.441

Exercise 1.814 0.51 3.557

Cholesterol -0.022 0.011 -2.000

Blood Pressure -0.016 0.014. -1.143

Answer the following questions based on the provided information.

a) Complete the following multiple regression equation:

Estimated Y =

b) Interpret the meaning of the coefficient of determination:

c) Interpret the meaning of the slope coefficients forExerciseand Cholesterol.

d) Write down another potential independent variable that could be included in the analysis .

e) Predict the age of death for a person who does 3 hours per week of exercise, with a cholesterol level of 6 and with blood pressure exceeding the recommended value by 18.

f) Is theoverall model significant at the 5% level of significance. What does this finding mean? (no need to show the hypothesis testing steps, only provide the interpretation required)

g) whichregression coefficients are significant at the 5% level of significance.What does this finding mean?(no need to show the hypothesis testing steps, only provide the interpretation required)