The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required the upcoming move. In an effort to provide a more accuratemethod, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 20 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.

Cubic_Feet_Moved Labor_Hours

729 41.25

424 27.00

788 46.25

549 29.25

490 30.75

552 34.75

420 25.50

546 34.25

782 46.75

526 34.00

776 44.75

597 36.25

417 25.25

535 31.25

848 49.25

606 37.00

749 41.50

393 24.25

639 36.50

568 31.50

A. A scatter plot has a horizontal axis labeled Cubic Feet from 0 to 900 in increments of 100 and a vertical axis labeled Hours from 0 to 60 in increments of 5. A series of plotted points range from horizontal coordinates 390 to 850 and vertical coordinates 24 to 49 with no obvious pattern. All coordinates are approximate.

B. A scatter plot has a horizontal axis labeled Hours from 0 to 60 in increments of 5 and a vertical axis labeled Cubic Feet from 0 to 900 in increments of 100. A series of plotted points are clustered around a line that rises from left to right passing through the points (30,500) and (35,590). All coordinates are approximate.

C.A scatter plot has a horizontal axis labeled Cubic Feet from 0 to 900 in increments of 100 and a vertical axis labeled Hours from 0 to 60 in increments of 5. A series of plotted points are clustered around a line that rises from left to right passing through the points (400,25) and (800,46). All coordinates are approximate.

D. A scatter plot has a horizontal axis labeled Hours from 0 to 60 in increments of 5 and a vertical axis labeled Cubic Feet from 0 to 900 in increments of 100. A series of plotted points range from horizontal coordinates 24 to 49 and vertical coordinates 390 to 850 with no obvious pattern. All coordinates are approximate.

b. Assuming a linearrelationship, use theleast-squares method to determine the regression coefficients b0 and b1

b0=_____

b1=_____

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

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

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

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

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

d. Predict the mean labor hours for moving 800 cubic feet.

_____hours

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

A.As the amount to be movedincreases, the labor hours decrease. Asexpected, the labor hours are affected by the amount to be moved.

B.As the labor hoursincrease, the amount to be moved decreases. Asexpected, the amount to be moved is affected by the labor hours.

C.Asexpected, the labor hours are affected by the amount to be moved. As the amount to be movedincreases, the labor hours increase.

D.Asexpected, the labor hours are not affected by the amount to be moved.