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 a 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 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).
B.) Assuming a linear relationship, use the least-squares method to determine the regression coefficients b0 and b1.
b0 = _____
b1 =______
C.) Interpret the meaning of the slope, b1, in this problem. Choose the correct answer below.
a.)For each increase of one hour of moving time, the number of cubic feet moved is expected to increase by b1.
b.) The approximate moving time when the number of cubic feet moved is 0 cubic feet is b1.
c.) The approximate number of cubic feet moved when the moving time is 0 hours is b1.
d.) For each increase of one cubic foot moved, the moving time is expected to increase by b1 hours.
D.) Predict the labor hours for moving 300 cubic feet.
_______ Hours
Cubic_Feet_Moved Labor_Hours
750 35.00
533 28.50
391 18.25
497 27.50
724 38.00
765 40.50
770 38.25
491 24.25
544 30.25
674 33.25
787 37.50
849 43.75
317 15.50
279 16.00
685 33.75
407 18.25
288 15.75
784 35.75
727 33.75
384 19.25
show your working
Solution-
B. After running the regression analysis, we obtain the following regression output-
Regression equation is-
Labor hours = 1.49822 + 0.04749 * Cubic feet
C. Meaning of slope is- For each increase of one cubic foot moved, the moving time is expected to increase by b1 hours.
Thus correct option is D.
D. When cubic feet = 300, the labor hours = 1.49822 + 0.04749 * 300
= 15.744
Answers
TY!
The owner of a moving company typically has his most experienced manager predict the total number...
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