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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 23.3513 + 0.3165x , where æ = price ($) and y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 72 Koss 85 62 Phillips/O'Neill 70 56 Denon 70 40 JVC 45 25 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination r² (to 3 decimals). Comment on the goodness of fit. Hint: If p² 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

The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 23.3513 + 0.3165x , where æ = price ($) and y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 72 Koss 85 62 Phillips/O'Neill 70 56 Denon 70 40 JVC 45 25 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination r² (to 3 decimals). Comment on the goodness of fit. Hint: If p² 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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 23.3513 + 0.3165x , where æ = price ($) and y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 72 Koss 85 62 Phillips/O'Neill 70 56 Denon 70 40 JVC 45 25 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination r2 (to 3 decimals). Comment on the goodness of fit. Hint: If r? is greater than 0.70, the estimated regression equation provides a good fit. The least squares line - Select your answer 9 a good fit as - Select your answer - : proportion of the variability in y has been explained by the least squares line. c. What is the value of the sample correlation coefficient (to 3 decimals)? Pxy =
Transcribed Image Text:The following data show the brand, price ($), 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 = 23.3513 + 0.3165x , where æ = price ($) and y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 72 Koss 85 62 Phillips/O'Neill 70 56 Denon 70 40 JVC 45 25 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination r2 (to 3 decimals). Comment on the goodness of fit. Hint: If r? is greater than 0.70, the estimated regression equation provides a good fit. The least squares line - Select your answer 9 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)? Pxy =
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