Ž a. Compute SST, SSR, and SSE (to 3 decimals). SST - SSR- SSE - b. Compute the coefficient of determination ² (to 3 decimals). qu² = 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 e. What is the value of the sample correlation coefficient (to 3 decimals)? Txy= 3 2 proportion of the variability in 2 has been explained by the least squares line.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Exercise 14.18 Algo (Coefficient of Determination)
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range
from 0 (lowest) to 100 (highest). The estimated regression equation for these data is = 25.8023 +0.2920z, where a = price ($) and y = overall score.
Score
75
71
41
61
a. Compute SST, SSR, and SSE (to 3 decimals).
SST -
SSR-
SSE -
b. Compute the coefficient of determination ² (to 3 decimals).
0 Icon Key
Brand
Bose
Scullcandy
Koss
Exercise 14.18 Algo (Coefficient of Determination)
Phillips/O'Neill
Denon
JVC
Price ($)
180
160
95
70
70
25
Comment on the goodness of fit. Hint: If ² is greater than 0.70, the estimated regression equation provides a good fit.
The least squares line-Select your answer - Va good fit as - Select your answer-proportion of the variability in y has been explained by the least squares line.
c. What is the value of the sample correlation coefficient (to 3 decimals)?
Txy =
57
40
26
Question 7 of 10
Question 7 of 10
Transcribed Image Text:Exercise 14.18 Algo (Coefficient of Determination) The following data show the brand, price ($), 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 = 25.8023 +0.2920z, where a = price ($) and y = overall score. Score 75 71 41 61 a. Compute SST, SSR, and SSE (to 3 decimals). SST - SSR- SSE - b. Compute the coefficient of determination ² (to 3 decimals). 0 Icon Key Brand Bose Scullcandy Koss Exercise 14.18 Algo (Coefficient of Determination) Phillips/O'Neill Denon JVC Price ($) 180 160 95 70 70 25 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 - Va 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 = 57 40 26 Question 7 of 10 Question 7 of 10
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