Q.1 Regression

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 for Exerciseand 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 the overall 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) which regression 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)

SHOW WORKING OUT PLEASE THANK YOU!