The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). Th overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equati hese data is ŷ = 25.8023+0.2920x, where x = price ($) and y = overall score. . Compute SST, SSR, and SSE (to 3 decimals). SST = Brand Bose Scullcandy Koss xy= Phillips/O'Neill Denon JVC SSR = ESSE = . Compute the coefficient of determination ² (to 3 decimals). _2 = Price ($) 180 160 95 70 70 25 Score 75 71 61 57 40 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 - a good fit as - Select your answer - ✓ proportion of the variability in y has been explained by the least squares line. . What is the value of the sample correlation coefficient (to 3 decimals)?

MATLAB: An Introduction with Applications
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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The
overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation
these data is ŷ = 25.8023 +0.2920x, where x = price ($) and y = overall score.
a. Compute SST, SSR, and SSE (to 3 decimals).
SST =
Brand
Bose
Scullcandy
Koss
Phillips/O'Neill
Denon
JVC
SSR =
SSE =
b. Compute the coefficient of determination ² (to 3 decimals).
-p² =
Price ($)
180
160
95
70
70
25
Score
KATEG
75
71
61
57
40
26
Comment on the goodness of fit. Hint: If r² is greater than 0.70, the estimated regression equation provides a good fit.
The least squares line - Select your answer - a good fit as - Select your answer - proportion of the variability in y has been explained by the least squares line.
c. What is the value of the sample correlation coefficient (to 3 decimals)?
Txy =
Transcribed Image Text:The following data show the brand, price ($), 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 these data is ŷ = 25.8023 +0.2920x, where x = price ($) and y = overall score. a. Compute SST, SSR, and SSE (to 3 decimals). SST = Brand Bose Scullcandy Koss Phillips/O'Neill Denon JVC SSR = SSE = b. Compute the coefficient of determination ² (to 3 decimals). -p² = Price ($) 180 160 95 70 70 25 Score KATEG 75 71 61 57 40 26 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 - 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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