The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 20.2301 + 0.3477x , where a = price ($) and y = overall score. Brand Price ($) Score Bose 170 76 Scullcandy 150 71 Koss 95 62 Phillips/O'Neill 70 56 Denon 60 40 JVC 55 25 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = b. Compute the coefficient of determination r2 (to 3 decimals). Comment on the goodness of fit. Hint: If r2 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 - 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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports
website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (Ilowest) to 100 (highest). The
estimated regression equation for these data is ŷ = 20.2301 + 0.3477x , where a
price ($) and y = overall score.
Brand
Price ($)
Score
Bose
170
76
Scullcandy
150
71
Koss
95
62
Phillips/O'Neill
70
56
Denon
60
40
JVC
55
25
a. Compute SST, SSR, and SSE (to 3 decimals).
SST =
SSR =
SSE =
%3D
b. Compute the coefficient of determination r (to 3 decimals).
%D
Comment on the goodness of fit. Hint: If r is greater than 0.70, the estimated regression equation provides a good fit.
The least squares line - Select your answer-
v a good fit as
Select your answer -
proportion of the variability in y has been explained by the least squares
line.
c. What is the value of the sample correlation coefficient (to 3 decimals)?
Txy =
Transcribed Image Text:The following data show the brand, price ($), 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 (Ilowest) to 100 (highest). The estimated regression equation for these data is ŷ = 20.2301 + 0.3477x , where a price ($) and y = overall score. Brand Price ($) Score Bose 170 76 Scullcandy 150 71 Koss 95 62 Phillips/O'Neill 70 56 Denon 60 40 JVC 55 25 a. Compute SST, SSR, and SSE (to 3 decimals). SST = SSR = SSE = %3D b. Compute the coefficient of determination r (to 3 decimals). %D 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- v 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 =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman