In: Economics
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. |