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 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. Click the icon to view the data table. a. Construct a scatter plot. Choose the correct graph below. OA. sco Floure 60 O C. 900 คลิ Fleurs b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b, and b,. Fee's 60 ...... ... Cubre l'e 900 PO

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Cubic Feet Moved
291
639
759
772
834
677
638
447
371
694
535
496
785
412
303
573
441
324
767
608
Labor Hours
11.75
26.50
27.00
32.25
32.00
25.50
20.75
16.75
10.75
25.75
19.00
20.75
29.00
13.00
9.75
24.00
13.50
12.75
28.25
23.50
b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients bo and b₁.
bo =
b₁ =
(Round to three decimal places as needed.)
c. Interpret the meaning of the slope, b₁, in this problem. Choose the correct answer below.
O A. The approximate number of cubic feet moved when the number of labor hours is 0 hours is b₁.
B. For each increase of one cubic foot moved, the number of labor hours is expected to increase by b, hours.
OC. For each increase of one labor hour, the number of cubic feet moved is expected to increase by b₁.
D. The approximate number of labor hours is when the number of cubic feet moved is 0 cubic feet is b, hours.
Transcribed Image Text:Cubic Feet Moved 291 639 759 772 834 677 638 447 371 694 535 496 785 412 303 573 441 324 767 608 Labor Hours 11.75 26.50 27.00 32.25 32.00 25.50 20.75 16.75 10.75 25.75 19.00 20.75 29.00 13.00 9.75 24.00 13.50 12.75 28.25 23.50 b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients bo and b₁. bo = b₁ = (Round to three decimal places as needed.) c. Interpret the meaning of the slope, b₁, in this problem. Choose the correct answer below. O A. The approximate number of cubic feet moved when the number of labor hours is 0 hours is b₁. B. For each increase of one cubic foot moved, the number of labor hours is expected to increase by b, hours. OC. For each increase of one labor hour, the number of cubic feet moved is expected to increase by b₁. D. The approximate number of labor hours is when the number of cubic feet moved is 0 cubic feet is b, hours.
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 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.
Click the icon to view the data table.
a. Construct a scatter plot. Choose the correct graph below.
OA.
800-
I lours
OB.
60-
Cubic Feet
900
C.
800-
***
Tours
b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b, and b,.
D.
60-
F
Cubic Feet
900
Q
Transcribed Image Text: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 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. Click the icon to view the data table. a. Construct a scatter plot. Choose the correct graph below. OA. 800- I lours OB. 60- Cubic Feet 900 C. 800- *** Tours b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b, and b,. D. 60- F Cubic Feet 900 Q
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