The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 25.130 + 0.309x, where x = price ($) and y = overall score. Brand Price($) Score A 180 76 B 150 73 C 95 63 D 70 54 E 70 40 F 35 24 (a) Compute SST, SSR, and SSE. (Round your answers to three decimal places.) SST= SSR= SSE= (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) (c) What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)
The following data show the brand, price ($), 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 ŷ = 25.130 + 0.309x, where x = price ($) and y = overall score. Brand Price($) Score A 180 76 B 150 73 C 95 63 D 70 54 E 70 40 F 35 24 (a) Compute SST, SSR, and SSE. (Round your answers to three decimal places.) SST= SSR= SSE= (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) (c) What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)
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 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores
Brand | Price($) |
Score |
A | 180 | 76 |
B | 150 | 73 |
C | 95 | 63 |
D | 70 | 54 |
E | 70 | 40 |
F | 35 | 24 |
(a)
Compute SST, SSR, and SSE. (Round your answers to three decimal places.)
SST=
SSR=
SSE=
(b) Compute the coefficient of determination
r2.
(Round your answer to three decimal places.)Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
(c)
What is the value of the sample correlation coefficient ? (Round your answer to three decimal places.)
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