7) The data used above was split into 2 samples and the following regression results were obtained from the split data. a) What is heteroscedasticity? b) Why is heteroscedasticity a problem? c) Based on a comparison of the two sets of output, does it appear that there is heteroscedasticity in the data set? Explain. Be sure to write down your null and alternative hypothesis, calculate the test statistic, and find your critical value (use a 10% level of significance).
7) The data used above was split into 2 samples and the following regression results were obtained from the split data. a) What is heteroscedasticity? b) Why is heteroscedasticity a problem? c) Based on a comparison of the two sets of output, does it appear that there is heteroscedasticity in the data set? Explain. Be sure to write down your null and alternative hypothesis, calculate the test statistic, and find your critical value (use a 10% level of significance).
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
7) The data used above was split into 2 samples and the following regression results were obtained from the split data.
a) What is heteroscedasticity?
b) Why is heteroscedasticity a problem?
c) Based on a comparison of the two sets of output, does it appear that there is heteroscedasticity in the data set? Explain. Be sure to write down your null and alternative hypothesis, calculate the test statistic, and find your critical value (use a 10% level of significance).
![Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
0.950
0.902
0.818
48.5
Observations
14
ANOVA
SS
MS
Significance F
Regression
152083
25347
10.8
0.0031
Residual
16478
2354
Total
13
168561
Coefficients
-31.0
Standard Error
1 Stat
P-value
Lower 95%
-467.7
Upper 95%
Intercept
Land (acres)
House Size(sq ft)
Age
184.7
-0.2
0.9
405.6
278.9
90.0
3.1
0.0
66.2
491.6
0.089
0.035
2.537
0.039
0.006
0.171
-1.52
0.95
-3.76
-16.0
-1.61
0.15
0.71
Rooms
31.6
20.1
1.6
0.2
79.1
Baths
20.1
27.7
0.7
0.5
-45.4
85.6
Garage
13.5
33.3
0.4
0.7
-65.3
92.2
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.840
0.706
0.485
Standard Error
32.27
Observations
15
ANOVA
MS
Significance F
df
SS
F
19998
3333
3.201
0.066
Regression
Residual
8.
8331
1041
14
28330
Total
Upper 95%
276.2
Standard Error
t Stat
P-value
Lower 95%
Соеficients
155.0
52.6
2.9
0.0
33.8
Intercept
Land (acres)
House Size(sq ft)
348.4
-291.8
-0.035
28.3
138.8
0.2
0.8
0.183
0.155
0.041
1.456
0.060
-0.291
0.591
-1.489
0.907
0.520
-0.560
Age
1.3
0.2
-6.3
23.8
8.8
6.5
Rooms](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f622088-e5ba-4c84-b044-5e4b68af7b7e%2F1121853b-d1c1-4bc5-8f5a-527c65475291%2Fcavtle_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
0.950
0.902
0.818
48.5
Observations
14
ANOVA
SS
MS
Significance F
Regression
152083
25347
10.8
0.0031
Residual
16478
2354
Total
13
168561
Coefficients
-31.0
Standard Error
1 Stat
P-value
Lower 95%
-467.7
Upper 95%
Intercept
Land (acres)
House Size(sq ft)
Age
184.7
-0.2
0.9
405.6
278.9
90.0
3.1
0.0
66.2
491.6
0.089
0.035
2.537
0.039
0.006
0.171
-1.52
0.95
-3.76
-16.0
-1.61
0.15
0.71
Rooms
31.6
20.1
1.6
0.2
79.1
Baths
20.1
27.7
0.7
0.5
-45.4
85.6
Garage
13.5
33.3
0.4
0.7
-65.3
92.2
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.840
0.706
0.485
Standard Error
32.27
Observations
15
ANOVA
MS
Significance F
df
SS
F
19998
3333
3.201
0.066
Regression
Residual
8.
8331
1041
14
28330
Total
Upper 95%
276.2
Standard Error
t Stat
P-value
Lower 95%
Соеficients
155.0
52.6
2.9
0.0
33.8
Intercept
Land (acres)
House Size(sq ft)
348.4
-291.8
-0.035
28.3
138.8
0.2
0.8
0.183
0.155
0.041
1.456
0.060
-0.291
0.591
-1.489
0.907
0.520
-0.560
Age
1.3
0.2
-6.3
23.8
8.8
6.5
Rooms
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Similar questions
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman