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 (lowest) to (highest). The estimated regression equation for these data is , where and .

Brand	Price ($)	Score
Bose	180		76
Scullcandy	160		71
Koss	95		62
Phillips/O'Neill	70		56
Denon	70		40
JVC	25		25

a. Compute , , and (to decimals).

SST =
SSR =
SSE =

b. Compute the coefficient of determination (to decimals).

Comment on the goodness of fit. Hint: If is greater than , the estimated regression equation provides a good fit.

The least squares line - Select your answer - provided did not provide Item 5 a good fit as - Select your answer - a large a small Item 6 proportion of the variability in has been explained by the least squares line.

c. What is the value of the sample correlation coefficient (to decimals)?