The following data show the brand, price (3), 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 f: = 24.7231 + 0.30289: , where a: = price (3) and y = overall score. Brand Price (3;) Score Bose 180 75 Scullcandy 160 72 Kass 85 62 Phillips/O'Neill 7O 57 Denon 70 40 NC 35 24 a. Compute SST, SSR, and SSE (to 3 decimals). SST = I | SSR = 'l SSE = j| [1. Compute the coefficient of determination r\" (to 3 decimals). 3 = 'i Comment on the goodness of fit. Hint: If r2 is greater than 0.70, the estimated regression equation provides a good fit. The least squares line a good fit as proportion of the variability in 31 has been explained by the least squares line. c. What is the value of the sample correlation coefficient (to 3 decimals)? ' rxyzl l