The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x, - 2.3x, + 7.6x3 + 2.7x4 The values of ST and SSR are 1,807 and 1,755, respectively. (a) Compute R?. (Round your answer to three decimal places.) R2 = (b) Compute R_?. (Round your answer to three decimal places.) R_2 = (c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x, - 2.3x, + 7.6x3 + 2.7x4 The values of ST and SSR are 1,807 and 1,755, respectively. (a) Compute R?. (Round your answer to three decimal places.) R2 = (b) Compute R_?. (Round your answer to three decimal places.) R_2 = (c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. O The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
q 22
Transcribed Image Text:The following estimated regression equation based on 30 observations was presented.
ŷ = 17.6 + 3.8x, - 2.3x, + 7.6x, + 2.7x4
The values of SST and SSR are 1,807 and 1,755, respectively.
(a) Compute R?. (Round your answer to three decimal places.)
R2 =
(b) Compute R_2. (Round your answer to three decimal places.)
(c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
O The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
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.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman