The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ĝ = 23.351 +0.316z, where z = price ($) and y = overall score. Brand Price Bose Scullcandy Koss Phillips/O'Neill Denon JVC Round your answers to three decimal places. a. Compute SST, SSR, and SSE. 170 160 95 70 70 35 Score 75 71 61 57 40 26

The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ĝ = 23.351 +0.316z, where z = price ($) and y = overall score. Brand Price Bose Scullcandy Koss Phillips/O'Neill Denon JVC Round your answers to three decimal places. a. Compute SST, SSR, and SSE. 170 160 95 70 70 35 Score 75 71 61 57 40 26

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 4SGR

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The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is y = 19.653 + 0.353 x, where x = price ($) and y = overall score. Brand Price ($) Score Bose 170 76 Scullcandy 150 71 Koss 95 62 Phillips/O'Neill 70 57 Denon 70 40 JVC 45 24 Round your answers to three decimal places. a. Compute SST, SSR, and SSE. SST SSR SSE b. Compute the coefficient of determination r 2. Comment on the goodness of fit. r2 = Select c. What is the value of the sample correlation coefficient? r =
The following data show the brand, price ($), 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 = 26.1111 + 0.2889x , where a = price ($) and y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 160 72 Koss 85 61 Phillips/O'Neill 60 57 Denon 70 40 JVC 45 25 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination p2 (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 - va good fit as Select your answer v 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…
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 25.0952 + 0.2990x , where a = price ($) and y = overall score. Brand Price ($) Score Bose 180 76 Scullcandy 160 72 Koss 85 62 Phillips/O'Neill 60 56 Denon 70 40 JVC 45 24 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination r2 (to 3 decimals). Comment on the goodness of fit. Hint: If r2 is greater than 0.70, the estimated regression equation provides a good fit. The least squares line - Select your answer - V a good fit as Select your answer - proportion of the variability in y has been explained by the least squares line. - Select your answer - C. What is the value of provided…
The following data show the brand, price ($), 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…
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 25.0317 + 0.2997x , where x = price ($) and y = overall score. Brand Price ($) Score Bose 180 76 Scullcandy 160 72 Koss 85 62 Phillips/O'Neill 70 56 Denon 60 30 JVC 45 34 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination r (to 3 decimals). p = Comment on the goodness of fit. Hint: If r2 is greater than 0.70, the estimated regression equation provides a good fit. The least squares line Select your answer - va good fit as - Select your answer - v proportion of the variability in y has been explained by the least squares line. c. What is the value of the sample correlation coefficient…
The following data show the brand, price ($), 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…
The following data show the brand, price($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is y=23.043+2.7x , where x=price and y=overall score . Brand Price Score Bose 170 75 Scullcandy 160 71 Koss 95 62 Phillips/O'Neill 70 56 Denon 60 40 JVC 45 26 Round your answers to three decimal places. a. Compute SST,SSR , and SSE. SST (to 3 decimals) SSR (to 3 decimals) SSE (to 3 decimals) c. What is the value of the sample correlation coefficient? rxy=
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website, March 5, 2012). 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 = 23.194 + .318x, where x = price ($) and y = overall score. Brand Price ($) Score Bose 180 76 Skulllcandy 150 71 Koss 95 61 Phillips /O'Neill 70 56 Denon 70 40 JVC 35 26 a. Compute SST, SSR, and SSE.b. Compute the coefficient of determination r2. Comment on the goodness of fit.c. What is the value of the sample correlation coefficient?
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (Ilowest) to 100 (highest). The estimated regression equation for these data is ŷ = 20.2301 + 0.3477x , where a price ($) and y = overall score. Brand Price ($) Score Bose 170 76 Scullcandy 150 71 Koss 95 62 Phillips/O'Neill 70 56 Denon 60 40 JVC 55 25 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = %3D b. Compute the coefficient of determination r (to 3 decimals). %D Comment on the goodness of fit. Hint: If r is greater than 0.70, the estimated regression equation provides a good fit. The least squares line - Select your answer- v a good fit as Select your answer - proportion of the variability in y has been explained by the least squares line. c. What is the value of the sample correlation coefficient…
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. 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 ý = 22.525 + 0.325x, where x = price ($) and y overall score. %3D Brand Price ($) Score 180 78 B. 150 71 C 95 59 70 54 E 70 40 35 28 (a) Compute SST, SSR, and SSE. (Round your answers to three decimal places.) SST SSR %3D SSE = (b) Compute the coefficient of determination . (Round your answer to three decimal places.) 1 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. O The least squares line did not provide a good fit as a large proportion of the variability in y…