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The following data show the brand, price (S), 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 reductio cores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ý = 23.2437 +0.3176x, wherez-price ($) and yoverall score. Price ($) Score 180 76 Brand Bose Scullcandy Koss 150 71 85 61 Phillips/O'Neill 70 57 Denon 70 JVC 45 25 1. Compute SST, SSR, and SSE (to 3 decimals). X EST= 1834 SSR = 1356.49 X SSE= 477.506 Compute the coefficient of determination (to 3 decimals). X 0.740 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 provided ✓a good fit as a large ✓✓ proportion of the variability in has been explained by the least squares line. What is the value of the sample correlation coefficient (to 3 decimals)? Ky =0.860

The following data show the brand, price (S), 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 reductio cores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ý = 23.2437 +0.3176x, wherez-price ($) and yoverall score. Price ($) Score 180 76 Brand Bose Scullcandy Koss 150 71 85 61 Phillips/O'Neill 70 57 Denon 70 JVC 45 25 1. Compute SST, SSR, and SSE (to 3 decimals). X EST= 1834 SSR = 1356.49 X SSE= 477.506 Compute the coefficient of determination (to 3 decimals). X 0.740 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 provided ✓a good fit as a large ✓✓ proportion of the variability in has been explained by the least squares line. What is the value of the sample correlation coefficient (to 3 decimals)? Ky =0.860

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 16CR: XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ...
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Exercise 14.18 Algo (Coefficient of Determination) Question 8 of 10. Hint(s) Check My Work The following data show the brand, price (8), 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 ý = 23.2437 +0.3176z, where - price ($) and yoverall score. Price ($) Score Brand Bose 180 76 150 71 Scullcandy Koss 85 61 Phillips/O'Neill 70 57 Denon 70 40 JVC 45 25 a. Compute SST, SSR, and SSE (to 3 decimals). X SST = 1834 SSR = 1356.49 * SSE = 477.506 X b. Compute the coefficient of determination 2 (to 3 decimals). * -0.740 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 provided ✓✓✓ a good fit as a large 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 decimals)? Txy = 0.860 * Hide Feedback Hint(s) Check My Work Partially Correct
Transcribed Image Text:Exercise 14.18 Algo (Coefficient of Determination) Question 8 of 10. Hint(s) Check My Work The following data show the brand, price (8), 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 ý = 23.2437 +0.3176z, where - price ($) and yoverall score. Price ($) Score Brand Bose 180 76 150 71 Scullcandy Koss 85 61 Phillips/O'Neill 70 57 Denon 70 40 JVC 45 25 a. Compute SST, SSR, and SSE (to 3 decimals). X SST = 1834 SSR = 1356.49 * SSE = 477.506 X b. Compute the coefficient of determination 2 (to 3 decimals). * -0.740 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 provided ✓✓✓ a good fit as a large 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 decimals)? Txy = 0.860 * Hide Feedback Hint(s) Check My Work Partially Correct
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