Question

2. A statistician wanted to determine if the demographic variables of age, education, and income influence the number of hours of television watched per week. A random sample of 25 adults was selected to estimate the multiple regression model: y = B. + B,x; + B x2 + Box: +8, where y is the number of hours of television watched last week, *, is the age (in years), *z is the number of years of education, and income (in $1,000). The computer output is shown below. is THE ESTIMATED REGRESSION EQUATION IS: y = 22.3 + 0.41xı -0.29x2 -0.12xz Predictor Coef SE t Constant X X2 22.3 0.41 -0.29 -0.12 10.7 0.19 0.13 0.03 2.084 2.158 -2.231 14.00 ANALYSIS OF VARIANCE Source of Variation df Regression 3 Error 21 Total 24 SS 227 426 653 MS F 75.667 3.730 20.286 a. Test the overall significance of the model at the 5% significance level 8

Answer 1

Date Page e no. watched age increases increases by 1 year average increase g hours television increases by 0:41 hours holding all other variables constant no. of years inocoases of education by year average of hours television watched decreases by hours variables constant. decrease unverase 0.29 holding all other