An electric utility is interested in developing a model relating peak hour demand ( y in

Chapter 11, Problem 11-79

(choose chapter or problem)

An electric utility is interested in developing a model relating peak hour demand ( y in kilowatts) to total monthly energy usage during the month (x, in kilowatt hours). Data for 50 residential customers are shown in the following table.Customer x y Customer x y 11 1818 5.84 36 463 0.51 12 1700 5.21 37 770 1.74 13 747 3.25 38 724 4.10 14 2030 4.43 39 808 3.94 15 1643 3.16 40 790 0.96 16 414 0.50 41 783 3.29 17 354 0.17 42 406 0.44 18 1276 1.88 43 1242 3.24 19 745 0.77 44 658 2.14 20 795 3.70 45 1746 5.71 21 540 0.56 46 895 4.12 22 874 1.56 47 1114 1.90 23 1543 5.28 48 413 0.51 24 1029 0.64 49 1787 8.33 25 710 4.00 50 3560 14.94 (a) Draw a scatter diagram of y versus x. (b) Fit the simple linear regression model. (c) Test for significance of regression using 0.05. (d) Plot the residuals versus and comment on the underlying regression assumptions. Specifically, does it seem that the equality of variance assumption is satisfied? (e) Find a simple linear regression model using as the response. Does this transformation on y stabilize the inequality of variance problem noted in part (d) above?