In: Statistics and Probability
A recent article in Bloomberg Businessweek 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.)
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 $50 million in sales, an estimate of the earnings is ($ millions).