The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website, March 5, 2012). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is y^ = 23.194 + .318x, where x = price ($) and y = overall score.

a. Compute SST, SSR, and SSE.
b. Compute the coefficient of determination r2. Comment on the goodness of fit.
c. What is the value of the sample correlation coefficient?

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Price (S) 180 150 95 70 70 35 Brand Bose Skullcandy Score 76 71 61 56 40 26 Koss Phillips/O'Neill Denon