A recent article in BusinessWeek listed the “Best Small Companies.” We are interested in the current...

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A recent article in BusinessWeek listed the “Best SmallCompanies.” We are interested in the current results of thecompanies' sales and earnings. A random sample of 12 companies wasselected and the sales and earnings, in millions of dollars, arereported below.

Company

Sales
($ millions)

Earnings
($ millions)

Company

Sales
($ millions)

Earnings
($ millions)

Papa John's International

$

86.8

$

5.0

Checkmate Electronics

$

15.4

$

2.6

Applied Innovation

18.9

4.4

Royal Grip

10.8

1.7

Integracare

17.2

1.5

M-Wave

15.5

3.3

Wall Data

74.6

8.2

Serving-N-Slide

53.6

8.5

Davidson & Associates

59.9

6.9

Daig

26.6

6.0

Chico's FAS

49.6

4.1

Cobra Golf

66.5

11.0

Let sales be the independent variable and earnings be thedependent variable.

    

(a)Compute the correlation coefficient. (Round your answerto 3 decimal places.)

     

  Coefficient of correlation  

     

(b)Compute the coefficient of determination. (Round youranswer to 3 decimal places.)

     

  Coefficient of determination  

     

(c)Determine the regression equation. (Round your answersto 4 decimal places.)

       

  The regression equation, with the coefficients, isYˆY^ = ______ +_____  X

     

(d)

For a small company with $50 million in sales, estimate theearnings. (Round your answer to 4 decimalplaces.)

      

  Estimated earnings$  millions  

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