The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 24.7173 + 0.3028¤ , where a = price ($) and y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 72 Koss 95 61 Phillips/O'Neill 60 56 Denon 60 40 JVC 55 26 a. Compute SST, SSR, and SSE (to 3 decimals). SST = 1792 SSR = 1297.61: SSE = 494.386 b. Compute the coefficient of determination r (to 3 decimals). p2 = .724 Comment on the goodness of fit. Hint: If r? is greater than 0.70, the estimated regression equation provides a good fit. The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line c. What is the value of the sample correlation coefficient (to 3 decimals)? rxy = .366

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