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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 = 23.8235 + 0.3118x , where x = price ($) and (lowest) to 100 (highest). The estimated regression equation for these data is ŷ y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 71 Koss 95 61 Phillips/O'Neill 70 57 Denon 60 40 JVC 45 26 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 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 =

The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 = 23.8235 + 0.3118x , where x = price ($) and (lowest) to 100 (highest). The estimated regression equation for these data is ŷ y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 71 Koss 95 61 Phillips/O'Neill 70 57 Denon 60 40 JVC 45 26 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 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 =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 11PPS
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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 23.8235 + 0.3118x , where x = price ($) and %3D y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 71 Koss 95 61 Phillips/O'Neill 70 57 Denon 60 40 JVC 45 26 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination r (to 3 decimals). Comment on the goodness of fit. Hint: If r² is greater than 0.70, the estimated regression equation provides a good fit. The least squares line - Select your answer + a good fit as Select your answer - + proportion of the variability in y has been explained by the least squares line. c. What is the value of the sample correlation coefficient (to 3 decimals)? Txy
Transcribed Image Text:The following data show the brand, price ($), 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 for these data is ŷ = 23.8235 + 0.3118x , where x = price ($) and %3D y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 150 71 Koss 95 61 Phillips/O'Neill 70 57 Denon 60 40 JVC 45 26 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination r (to 3 decimals). 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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