The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is y = 24.5604 + 0.3044x where x = price ($) and y = overall score.
(NEED ANSWERS FOR A, B, C)
a.Compute SST, SSR, and SSE (to 3 decimals).
b.Compute the coefficient of determination r2 (to 3 decimals).
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 _______ (provided / did not provide) a good fit as ______ (large / small) proportion of the variability in has been explained by the least squares line.
c.What is the value of the sample correlation coefficient (to 3 decimals)?
Extracted text: The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 24.5604 + 0.3044x , where x = price ($) and y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 71 Koss 85 61 Phillips/O'Neill 70 57 Denon 60 40 JVC a. Compute SST, SSR, and SSE (to 3 decimals). 55 26 SST = SSR = SSE = b. Compute the coefficient of determination r2 (to 3 decimals). 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 - Select your answer - va good fit as - Select your answer - v 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)? *xy