select your answer choices- The least squares line (provided, did not provide) a good fit as (a large,
select your answer choices- The least squares line (provided, did not provide) a good fit as (a large,
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
Related questions
Question
-select your answer choices-
The least squares line (provided, did not provide) a good fit as (a large, a small) proportion of the variability in y has been explained by the least squares line.
![The following data show the brand, price ($), and the overall score for six stereo
headphones that were tested by Consumer Reports (Consumer Reports website). The
overall score is based on sound quality and effectiveness of ambient noise reduction.
Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for
these data is ŷ = 26.7192 + 0.2828x , where x = price ($) and y = overall score.
%3D
Brand
Price ($)
Score
Bose
180
76
Scullcandy
160
72
Koss
95
61
Phillips/O'Neill
70
57
Denon
70
30
JVC
a. Compute SST, SSR, and SSE (to 3 decimals).
25
34
SST =
SSR =
SSE =
b. Compute the coefficient of determination r2 (to 3 decimals).
p2 =
Comment on the goodness of fit. Hint: If r is greater than 0.70, the estimated
regression equation provides a good fit.
The least squares line- Select your answer
a good fit as - Select your answer -
proportion of the variability in y has been explained by the least squares line.
c. What is the value of the sample correlation coefficient (to 3 decimals)?
Txy =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b78d0e9-6419-4e40-825f-18d1ef1e2986%2F3d5db267-b026-4bf3-99df-5e4aeb598907%2F493wxao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following data show the brand, price ($), 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 = 26.7192 + 0.2828x , where x = price ($) and y = overall score.
%3D
Brand
Price ($)
Score
Bose
180
76
Scullcandy
160
72
Koss
95
61
Phillips/O'Neill
70
57
Denon
70
30
JVC
a. Compute SST, SSR, and SSE (to 3 decimals).
25
34
SST =
SSR =
SSE =
b. Compute the coefficient of determination r2 (to 3 decimals).
p2 =
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
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 3 decimals)?
Txy =
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