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The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved and the number of pieces of large furniture as the independent variables and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and the travel time was an insignificant portion of the hours worked. The data were organized and stored in Moving.
a. State the multiple regression equation and interpret the meaning of the slopes in this equation.
b. Predict the mean labor hours for moving 500 cubic feet with two large pieces of furniture.
c. Determine whether there is a significant relationship between labor hours and the two independent variables at the 0.05 level of significance? Explain.
d. At the 0.05 level of significance, determine whether each independent variable makes a significant contribution to the regression model. Explain.
e. Construct a 95% confidence interval estimate of the population slope between labor hours and the number of cubic feet moved.
f. What conclusions can you reach concerning labor hours?
Hours
Feet
Large
Elevator
24.00
545
3
Yes
13.50
400
2
26.25
562
No
25.00
540
9.00
220
1
20.00
344
22.00
569
11.25
340
50.00
900
6
12.00
285
38.75
865
4
40.00
831
19.50
18.00
360
28.00
750
27.00
650
21.00
415
15.00
275
557
45.00
1028
5
29.00
793
523
564
16.50
312
37.00
757
32.00
600
34.00
796
577
31.00
500
695
1054
486
442
62.50
1249
53.75
995
79.50
1397
7
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