A regression model is fitted to data with 5 independent variables (X1, X. X.X. and X;) and the output of the analysis using SPSS is given below: Model Regression Sum of Squares df p-value A BI 0.0000 Епог 17634.813 Total 38401.757 46 Coefficients Unstandardized Coefficients Model p-value Std. Error Constant) -213.5781 114.522 0.069 0.8690 0.297 0.005 0.0579 3.296 0.986 0.8010 0.120 0.000 0.094 0.122 0.0558 0.557 0.0975 0.428 Based on the output above, answer the following. (a) Find the values of A, B and C in the ANOVA table. (b) Find the coeffcient of determination, R°. (c) Interpret the R° value in part (b).

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
A regression model is fitted to data with 5 independent variables (X1, X2, X3 X4 and X;) and the
output of the analysis using SPSS is given below:
Model
Regression
Sum of Squares
df
p-value
A
В
0.0000
Еmor
17634.813
Total
38401.757
46
Coefficients
Unstandardized Coefficients
Model
p-value
Std. Error
114.522
B
(Constant)
-213.5781
0.069
0.8690
0.297
0.005
0.0579
3.296
0.986
0.8010
0.120
0.000
X4
0.0558
0.094
0.557
0.0975
0.122
0.428
Based on the output above, answer the following.
(a)
Find the values of A, B and C in the ANOVA table.
(b) Find the coeffñcient of determination, R°.
(c)
Interpret the R° value in part (b).
(d)
Find the standard eror of estimate, s.
(e)
Find the F-test statistic value.
(f)
Interpret the p-value in the ANOVA table at a = 0.05.
(g)
Interpret the p-value for each independent variable (Xı, X2, X3, X4 and X3) in the
Coefficients table at a = 0.05.
Transcribed Image Text:A regression model is fitted to data with 5 independent variables (X1, X2, X3 X4 and X;) and the output of the analysis using SPSS is given below: Model Regression Sum of Squares df p-value A В 0.0000 Еmor 17634.813 Total 38401.757 46 Coefficients Unstandardized Coefficients Model p-value Std. Error 114.522 B (Constant) -213.5781 0.069 0.8690 0.297 0.005 0.0579 3.296 0.986 0.8010 0.120 0.000 X4 0.0558 0.094 0.557 0.0975 0.122 0.428 Based on the output above, answer the following. (a) Find the values of A, B and C in the ANOVA table. (b) Find the coeffñcient of determination, R°. (c) Interpret the R° value in part (b). (d) Find the standard eror of estimate, s. (e) Find the F-test statistic value. (f) Interpret the p-value in the ANOVA table at a = 0.05. (g) Interpret the p-value for each independent variable (Xı, X2, X3, X4 and X3) in the Coefficients table at a = 0.05.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 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
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