The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from (lowest) to 100 (highest). The estimated regression equation for these data is 20.4185 +0.3458x, where x = price ($) and overall score. SST = SSR = Brand Bose Scullcandy Koss Denon JVC 1. Compute SST, SSR, and SSE (to 3 decimals). Phillips/O'Neill xy SSE = . Compute the coefficient of determination 2 (to 3 decimals). _2 Price ($) 170 150 85 70 60 65 = Score UNGDOM 76 72 62 57 30 33 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 - Select your answer - ✓ a good fit as - Select your answer - proportion of the variability in y has been explaine y the least squares line. . What is the value of the sample correlation coefficient (to 3 decimals)?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports
(Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from
0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 20.4185 +0.3458x, where x = =price ($) and
y = overall score.
SST =
Denon
JVC
a. Compute SST, SSR, and SSE (to 3 decimals).
SSR =
Brand
Bose
Scullcandy
Koss
Phillips/O'Neill
Txy
=
Price ($)
170
150
85
70
60
65
SSE =
b. Compute the coefficient of determination ² (to 3 decimals).
p² = ¯
Comment on the goodness of fit. Hint: If ² is greater than 0.70, the estimated regression equation provides a good fit.
The least squares line - Select your answer -
by the least squares line.
c. What is the value of the sample correlation coefficient (to 3 decimals)?
Score
76
72
62
57
30
33
a good fit as - Select your answer - ✓proportion of the variability in y has been explained
Transcribed Image Text:The following data show the brand, price ($), 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 = 20.4185 +0.3458x, where x = =price ($) and y = overall score. SST = Denon JVC a. Compute SST, SSR, and SSE (to 3 decimals). SSR = Brand Bose Scullcandy Koss Phillips/O'Neill Txy = Price ($) 170 150 85 70 60 65 SSE = b. Compute the coefficient of determination ² (to 3 decimals). p² = ¯ 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 - Select your answer - by the least squares line. c. What is the value of the sample correlation coefficient (to 3 decimals)? Score 76 72 62 57 30 33 a good fit as - Select your answer - ✓proportion of the variability in y has been explained
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