work The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 27.0615 +0.2794x, where x = price ($) and y = overall score. Brand Bose Scullcandy Koss Phillips/O'Neill Denon JVC a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination ² (to 3 decimals). gu² Price ($) 180 160 85 70 70 35 Score 76 71 61 57 30 35 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)?

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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer
Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100
(highest). The estimated regression equation for these data is ŷ = 27.0615 +0.2794x, where x = price ($) and y = overall score.
Brand
Bose
Scullcandy
Koss
Phillips/O'Neill
Denon
JVC
a. Compute SST, SSR, and SSE (to 3 decimals).
SST =
SSR =
SSE =
b. Compute the coefficient of determination ² (to 3 decimals).
gu²
Price ($)
180
160
85
70
70
35
Score
76
71
61
57
30
35
Comment on the goodness of fit. Hint: If ² is greater than 0.70, the estimated regression equation provides a good fit.
The least squares line-Select your answer - a good fit as - Select your answer - proportion of the variability in y has been explained by
the least squares line.
c. What is the value of the sample correlation coefficient (to 3 decimals)?
Transcribed Image Text:work The following data show the brand, price ($), 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 = 27.0615 +0.2794x, where x = price ($) and y = overall score. Brand Bose Scullcandy Koss Phillips/O'Neill Denon JVC a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination ² (to 3 decimals). gu² Price ($) 180 160 85 70 70 35 Score 76 71 61 57 30 35 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)?
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