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. Company  Cars (1,000s) Revenue ($ millions)  Company A 11.5 116 Company B  10 137 Company C 9 102 Company D  5.5 39 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.   (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?   (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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
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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.

Company  Cars (1,000s)

Revenue ($ millions) 

Company A 11.5 116
Company B  10

137

Company C 9 102
Company D  5.5 39
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.
 
(b)
What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
 
(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.
 
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
 
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