4. The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to for 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 (attached photo).

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?

A B C D Hours Feet Large Elevator 2 24.00 545 3 Yes 3 13.50 400 2 Yes 4 26.25 562 2 No 5 25.00 540 2 No 6 9.00 220 1 Yes 20.00 344 3 Yes 8 22.00 569 2 Yes 9 11.25 340 1 Yes 10 50.00 900 6 Yes 11 12.00 285 1 Yes 12 38.75 865 4 Yes 13 40.00 831 4 Yes 14 19.50 344 3 Yes 15 18.00 360 2 Yes 16 28.00 750 3 Yes 17 27.00 650 2 Yes 18 21.00 415 2 No 19 15.00 275 2 Yes 20 25.00 557 2 Yes 21 45.00 1028 5 Yes 22 29.00 793 4 Yes 23 21.00 523 3 Yes 24 22.00 564 3 Yes 25 16.50 312 2 Yes 26 37.00 757 3 No 27 32.00 600 3 No 28 34.00 796 3 Yes 29 25.00 577 3 Yes 30 31.00 500 4 Yes 31 24.00 695 3 Yes 32 40.00 1054 4 Yes 33 27.00 486 3 Yes 34 18.00 442 2 Yes 35 62.50 1249 5 No 36 53.75 995 6 Yes 37 79.50 1397 7 No 38