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In: Economics

A recent article in Business Week listed the “Best Small Companies.” We are interested in the...

A recent article in Business Week listed the “Best Small Companies.” We are interested in the current results of the companies sales and earnings. A random sample of 12 companies was selected and the sales and earnings, in millions of dollars, are reported below.

Company Sales
($ millions)
Earnings
($ millions)
Company Sales
($ millions)
Earnings
($ millions)
Papa John's International $ 87.4 $ 4.9 Checkmate Electronics $ 17.5 $ 2.6
Applied Innovation 18.6 4.4 Royal Grip 9.8 1.7
Integracare 17.4 1.3 M-Wave 19.6 3.5
Wall Data 71.7 8.0 Serving-N-Slide 53.7 8.2
Davidson & Associates 58.6 6.6 Daig 28.6 6.0
Chico's FAS 47.3 4.1 Cobra Golf 69.2 12.8

Let sales be the independent variable and earnings be the dependent variable. (Round your answers to 3 decimal places. Enter your answer to Part (d) in millions of dollars; e.g., enter $3,856,000 as 3.856))

(a) The coefficient of correlation is .
(b) The coefficient of determination is .
(c) The regression equation, with the coefficients, is Y' = ______ + _______  X
(d)

For a small company with $48 million in sales, an estimate of the earnings is ________  millions of dollars.

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