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 ofapproximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies.CarsRevenueCompany(1,000s)($ millions)Company A11.5118Company B10.0137Company C9.0102Company D5.537Company E4.238Company F3.330(a) Develop a scatter diagram with the number of cars in service as the independent variable.160160160140140140120120120100100-1008080806060604040402020204 681012140 24 681012140 24 68101214Cars in Service (1,000s)Cars in Service (1,000s)Cars in Service (1,000s)16014012010080604020nnual Revenue ($ millions)Annual Revenue ($ millions)Annual Revenue ($ millions)AnRevnue ($ millions) 160140120100806040204 6 8101214Cars in Service (1,000s)(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?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).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 yournumerical values to three decimal places.)(d) For every additional car placed in service, estimate how much annual revenue will change (in dollars). (Round your answer to the nearest integer.)Annual revenue will increase by $for every additional car placed in service.(e) A particular rental company has 4,000 cars in service. Use the estimated regression equation developed in part (c) to predict annual revenue (in $ millions) for this company. (Round your answerto the nearest integer.)millionAnnual Revenue ($ millions

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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 37 Company E 4.2 38 Company F 3.3 30 (a) Develop a scatter diagram with the number of cars in service as the independent variable. 160 160 T 160 140 140 140- 120 120- 120- 100 100 100 80 80 80 60 60 60 ... 40 .. 40 40 20 20 20 4 6 8 10 12 14 2 4 6 8 10 12 14 2 4 6 8 10 12 14 Cars in Service (1,000s) Cars in Service (1,000s) Cars in Service (1,000s) 160 140 120 100 80 60 40 Revenue ($ millions) Annual Revenue ($ millions)

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 37 Company E 4.2 38 Company F 3.3 30 (a) Develop a scatter diagram with the number of cars in service as the independent variable. 160 160 T 160 140 140 140- 120 120- 120- 100 100 100 80 80 80 60 60 60 ... 40 .. 40 40 20 20 20 4 6 8 10 12 14 2 4 6 8 10 12 14 2 4 6 8 10 12 14 Cars in Service (1,000s) Cars in Service (1,000s) Cars in Service (1,000s) 160 140 120 100 80 60 40 Revenue ($ millions) Annual Revenue ($ millions)

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

100%

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
37
Company E
4.2
38
Company F
3.3
30
(a) Develop a scatter diagram with the number of cars in service as the independent variable.
160
160
160
140
140
140
120
120
120
100
100-
100
80
80
80
60
60
60
40
40
40
20
20
20
4 6
8
10
12
14
0 2
4 6
8
10
12
14
0 2
4 6
8
10
12
14
Cars in Service (1,000s)
Cars in Service (1,000s)
Cars in Service (1,000s)
160
140
120
100
80
60
40
20
nnual Revenue ($ millions)
Annual Revenue ($ millions)
Annual Revenue ($ millions)
An
Rev
nue ($ millions)

160
140
120
100
80
60
40
20
4 6 8
10
12
14
Cars in Service (1,000s)
(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
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).
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.)
(d) For every additional car placed in service, estimate how much annual revenue will change (in dollars). (Round your answer to the nearest integer.)
Annual revenue will increase by $
for every additional car placed in service.
(e) A particular rental company has 4,000 cars in service. Use the estimated regression equation developed in part (c) to predict annual revenue (in $ millions) for this company. (Round your answer
to the nearest integer.)
million
Annual Revenue ($ millions

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