What is the value of r square in the regression model?  what is the additional contribution of gender to the percentage of variance expalined?

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
Question

What is the value of r square in the regression model? 

what is the additional contribution of gender to the percentage of variance expalined?

 

2. Following Question 1. The researcher thought that another variable, gender, might also affect the income level. Thus, he created a dummy variable for gender (1 for male and 0 for female) and estimated the
regression model with two independent variables,
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
0.959
0.920
Adjusted R Square
0.898
Standard Error
3.988
Observations
10.000
ANOVA
df
SS
MS
F
Significance F
Regression
2.000
1,286.766
643.383
40.451
0.000
Residual
7.000
111.337
15.905
Total
9.000
1,398.103
Lower 95% Upper 95% Lower 95.0% Upper 95.0%
(9.301)
Coefficients itandard Erro
t Stat
P-value
10.140.
8.222
1.233
0.257
29.581
(9.301)
29.581
Intercept
Years in College
11.700
3.454
3.388
0.012
3.533
19.867
3.533
19.867
1.950
6.306
0.309
0.766
(12.961)
16.861
(12.961)
16.861
Gender
Transcribed Image Text:2. Following Question 1. The researcher thought that another variable, gender, might also affect the income level. Thus, he created a dummy variable for gender (1 for male and 0 for female) and estimated the regression model with two independent variables, SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.959 0.920 Adjusted R Square 0.898 Standard Error 3.988 Observations 10.000 ANOVA df SS MS F Significance F Regression 2.000 1,286.766 643.383 40.451 0.000 Residual 7.000 111.337 15.905 Total 9.000 1,398.103 Lower 95% Upper 95% Lower 95.0% Upper 95.0% (9.301) Coefficients itandard Erro t Stat P-value 10.140. 8.222 1.233 0.257 29.581 (9.301) 29.581 Intercept Years in College 11.700 3.454 3.388 0.012 3.533 19.867 3.533 19.867 1.950 6.306 0.309 0.766 (12.961) 16.861 (12.961) 16.861 Gender
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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