Question

Cubic_Feet_Moved Labor_Hours

552 22.50

567 24.25

565 21.25

518 20.00

647 25.75

256 11.00

667 31.25

555 25.00

329 14.00

686 31.50

539 25.50

810 38.00

355 12.00

465 22.75

624 29.00

400 16.25

720 31.75

680 29.50

719 29.50

714 33.75

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. In an effort to provide a more accurate​ method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 2020 moves in which the travel time was an insignificant portion of the hours worked. Use the data provided to complete parts​ (a) through​ (d) below.

a. construct a scatter plot

b. Assuming a linear​ relationship, use the​ least-squares method to determine the regression coefficients b0 and b1

c. Interpret the meaning of the​ slope, b1​, in this problem. Choose the correct answer below.

A.For each increase of one cubic foot​ moved, the number of labor hours is expected to increase by b1 hours.

B.The approximate number of labor hours is when the number of cubic feet moved is 0 cubic feet is b1 hours.

C.The approximate number of cubic feet moved when the number of labor hours is 0 hours is b1.

D.For each increase of one labor​ hour, the number of cubic feet moved is expected to increase by b1.

d. Predict the mean labor hours for moving 300 cubic feet.

? hours ​(Round to two decimal places as​ needed.)

e. What should you tell the owner of the moving company about the relationship between cubic feet moved and labor​ hours?

A. As the amount to be moved​ increases, the labor hours decrease. As​ expected, the labor hours are affected by the amount to be moved.

B. As​ expected, the labor hours are affected by the amount to be moved. As the amount to be moved​increases, the labor hours increase.

C. As​ expected, the labor hours are not affected by the amount to be moved.

D. As the labor hours​ increase, the amount to be moved decreases. As​ expected, the amount to be moved is affected by the labor hours.

Answer 1