# Multiple Regression Analysis of Moving

Problem 14.43 page 600

Problem 43 page 192

Introduction

The owner of a moving company would like to develop a model of predicting

the labor hours that is required to complete a move by using the number

of cubic feet moved and whether there is an elevator in the apartment building.

He has collected data for 36 moves . The data are stored in the table

Hours Feet Elevator

24.00 545 Yes

13.50 400 Yes

26.25 562 No

25.00 540 No

9.00 220 Yes

20.00 344 Yes

22.00 569 Yes

11.25 340 Yes

50.00 900 Yes

12.00 285 Yes

38.75 865 Yes

40.00 831 Yes

19.50 344 Yes

18.00 360 Yes

28.00 750 Yes

27.00 650 Yes

21.00 415 No

15.00 275 Yes

25.00 557 Yes

45.00 1028 Yes

29.00 793 Yes

21.00 523 Yes

22.00 564 Yes

16.50 312 Yes

37.00 757 No

32.00 600 No

34.00 796 Yes

25.00 577 Yes

31.00 500 Yes

24.00 695 Yes

40.00 1054 Yes

27.00 486 Yes

18.00 442 Yes

62.50 1249 No

53.75 995 Yes

79.50 1397 No

a. State the multiple regression equation.

b. Interpret the meaning of the slopes b1 and b2, in this problem.

c. Interpret the meaning of the regression coefficient b0.

d. Predict the mean labor hours for moving 500 cubic feet in the apartment building that has an elevator

e. Compute the coefficient of multiple determination, r^2 and interpret its meaning.

f. Compute the adjusted r^2.

g. Construct a 95% confidence interval estimate of the population slopes.

h. At the 0.05 level of significance, determine whether each independent variable

makes a significant contribution to the regression model.

Perform t-test for the slopes of the regression equation.

i. Add an interaction term to the model and at the 0.05 level of significance,

determine whether it makes significant contribution to the model.

https://brainmass.com/statistics/correlation-and-regression-analysis/multiple-regression-analysis-moving-593092

#### Solution Preview

Please see the attachments.

Please note that this is not a hand in ...

#### Solution Summary

The solution provides step by step method for the calculation of multiple regression analysis. Formula for the calculation and Interpretations of the results are also included.