Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies. Cars Revenue Company (1,000s) ($ millions) Company A 11.5 118 Company B 10.0 137 Company C 9.0 102 Company D 5.5 39 Company E 4.2 40 Company F 3.3 32 (a) Develop a scatter diagram with the number of cars in service as the independent variable. 160 T 160- 140 140 120 120- 100 100- te ($ millions) ne ($ millions)

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.3: The Cartesian Plane And Graphs Of Equations
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Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in
service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for
six smaller car rental companies.
Cars
Revenue
Company
(1,000s) ($ millions)
Company A
11.5
118
Company B
10.0
137
Company C
9.0
102
Company D
5.5
39
Company E
4.2
40
Company F
3.3
32
(a) Develop a scatter diagram with the number of cars in service as the independent variable.
160T
160T
140
140
120
.
120
100-
100
80
80-
60
60
.
40
40
20
20-
4
6
8 10
Cars in Service (1,000)
0
6 8 10
0
4
6 8 10 12 14
Cars in Service (1,000)
Cars in Service (1,000)
(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
O There appears to be a negative linear relationship between cars in service (1,000s) and annual
revenue ($ millions).
There appears to be a positive linear relationship between cars in service (1,000s) and annual
revenue ($ millions).
O There appears to be no noticeable relationship between cars in service (1,000s) and annual revenue ($ millions).
(c) Use the least squares method to develop the estimated regression equation that can be used to predict annual revenue (in $ millions) given the number of cars in
service (in 1,000s). (Round your numerical values to three decimal places.)
ý = -16.71 - 13.0x
+
X
(d). For every additional car placed in service estimate how much annual
a will change (in dollars) (Round your ans
the nearest integer)
Annual Revenue ($ millions)
Annual Revenue ($ millions)
0
160 T
140
120+
100
80
60
40
20
2
2
4
6
10
Cars in Service (1,000)
12 14
Annual Revenue ($ millions)
Annual Revenue ($ millions)
0
160
140
120
100
80
60
40-
20
2
2
12
12
14
14
Transcribed Image Text:Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies. Cars Revenue Company (1,000s) ($ millions) Company A 11.5 118 Company B 10.0 137 Company C 9.0 102 Company D 5.5 39 Company E 4.2 40 Company F 3.3 32 (a) Develop a scatter diagram with the number of cars in service as the independent variable. 160T 160T 140 140 120 . 120 100- 100 80 80- 60 60 . 40 40 20 20- 4 6 8 10 Cars in Service (1,000) 0 6 8 10 0 4 6 8 10 12 14 Cars in Service (1,000) Cars in Service (1,000) (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There appears to be a negative linear relationship between cars in service (1,000s) and annual revenue ($ millions). There appears to be a positive linear relationship between cars in service (1,000s) and annual revenue ($ millions). O There appears to be no noticeable relationship between cars in service (1,000s) and annual revenue ($ millions). (c) Use the least squares method to develop the estimated regression equation that can be used to predict annual revenue (in $ millions) given the number of cars in service (in 1,000s). (Round your numerical values to three decimal places.) ý = -16.71 - 13.0x + X (d). For every additional car placed in service estimate how much annual a will change (in dollars) (Round your ans the nearest integer) Annual Revenue ($ millions) Annual Revenue ($ millions) 0 160 T 140 120+ 100 80 60 40 20 2 2 4 6 10 Cars in Service (1,000) 12 14 Annual Revenue ($ millions) Annual Revenue ($ millions) 0 160 140 120 100 80 60 40- 20 2 2 12 12 14 14
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