The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 22.029 + 0.33x, where x = price ($) and y = overall score. Brand Price Score Bose 170 75 Scullcandy 150 72 Koss 95 61 Phillips/O'Neill 60 57 Denon 70 40 JVC 55 25 Round your answers to three decimal places.

Brand Price Score
Bose 170 75
Scullcandy 150 72
Koss 95 61
Phillips/O'Neill 60 57
Denon 70 40
JVC 55
25

a. Compute SST, SSR, and SSE.

SST ___

SSR ___

SSE ___

b. Compute the coefficient of determination r2. Comment on the goodness of fit. r2 =

c. What is the value of the sample correlation coefficient? r =