a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = JVC SSE = b. Compute the coefficient of determination 2 (to 3 decimals). 7.2 26 Comment on the goodness of fit. Hint: If 2 is greater than 0.70, the estimated regression equation provides a good fit. The least squares line Select your answer c. What is the value of the sample correlation Txy = a good fit as - Select your answer proportion of the variability in y has been explained by the least squares line. coefficient (to 3 decimals)?

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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The
overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for
these data is ŷ = 25.6590 +0.2934x, where x = price ($) and y = overall score.
a. Compute SST, SSR, and SSE (to 3 decimals).
SST =
SSR =
Brand
Bose
Scullcandy
=
Koss
Phillips/O'Neill
Denon
JVC
SSE =
b. Compute the coefficient of determination 2 (to 3 decimals).
72
Price ($)
180
160
95
70
70
25
Score
75
71
62
56
40
26
h
Comment on the goodness of fit. Hint: If 2 is greater than 0.70, the estimated regression equation provides a good fit.
The least squares line - Select your answer
a good fit as - Select your answer - proportion of the variability in y has been explained by the least squares line.
c. What is the value of the sample correlation coefficient (to 3 decimals)?
Txy
Transcribed Image Text:The following data show the brand, price ($), 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 = 25.6590 +0.2934x, where x = price ($) and y = overall score. a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = Brand Bose Scullcandy = Koss Phillips/O'Neill Denon JVC SSE = b. Compute the coefficient of determination 2 (to 3 decimals). 72 Price ($) 180 160 95 70 70 25 Score 75 71 62 56 40 26 h Comment on the goodness of fit. Hint: If 2 is greater than 0.70, the estimated regression equation provides a good fit. The least squares line - Select your answer a good fit as - Select your answer - 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)? Txy
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