Refer to exercise 5, where the following data were used to investigate whether higher prices are generally associated with higher ratings for elliptical trainers (Consumer Reports, February 2008).

With x = price ($) and y = rating, the estimated regression equation is
58.158 + .008449 x. For these data, SSE = 173.88.
a. Compute the coefficient of determination r2.
b. Did the estimated regression equation provide a good fit? Explain.
c. What is the value of the sample correlation coefficient? Does it reflect a strong or weak relationship between price and rating?

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Brand and Model Price ($) Rating Precor 5.31 Keys Fitness CG2 Octane Fitness Q37e LifeFitness X1 Basic NordicTrack AudioStrider 990 Schwinn 430 Vision Fitness X6100 ProForm XP 520 Razor 87 84 82 74 73 69 68 3700 2800 1900 1000 800 1700 600