What is the alternative hypothesis for the Durban Watson Test? Ha: The Data is not autocorrelated. O Ha: All of the slopes are equal to zero. O Ha: The Data is autocorrelated. O Ha: At least one of the slopes is equal to zero.
What is the alternative hypothesis for the Durban Watson Test? Ha: The Data is not autocorrelated. O Ha: All of the slopes are equal to zero. O Ha: The Data is autocorrelated. O Ha: At least one of the slopes is equal to zero.
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
![**Understanding the Alternative Hypothesis in the Durban Watson Test**
The image presents a multiple-choice question focused on identifying the correct alternative hypothesis for the Durban Watson Test. Here are the options provided:
1. **Ha: The Data is not autocorrelated.**
2. **Ha: All of the slopes are equal to zero.**
3. **Ha: The Data is autocorrelated.**
4. **Ha: At least one of the slopes is equal to zero.**
### Explanation:
- **Autocorrelation** refers to the correlation of a signal with a delayed copy of itself. In the context of regression analysis, it implies that the residuals (differences between observed and predicted values) are not independent of each other.
- The **Durban Watson Test** is a statistical test used to detect the presence of autocorrelation in the residuals from a regression analysis.
Understanding and identifying the correct hypothesis is crucial in statistical testing, as it can influence the model's validity in capturing the data's underlying patterns.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16ae80a1-e1d5-43ac-ac08-1553481b35fc%2Fab0c882f-46b8-44c9-8d1a-7dce32e68923%2Ffxof2uh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding the Alternative Hypothesis in the Durban Watson Test**
The image presents a multiple-choice question focused on identifying the correct alternative hypothesis for the Durban Watson Test. Here are the options provided:
1. **Ha: The Data is not autocorrelated.**
2. **Ha: All of the slopes are equal to zero.**
3. **Ha: The Data is autocorrelated.**
4. **Ha: At least one of the slopes is equal to zero.**
### Explanation:
- **Autocorrelation** refers to the correlation of a signal with a delayed copy of itself. In the context of regression analysis, it implies that the residuals (differences between observed and predicted values) are not independent of each other.
- The **Durban Watson Test** is a statistical test used to detect the presence of autocorrelation in the residuals from a regression analysis.
Understanding and identifying the correct hypothesis is crucial in statistical testing, as it can influence the model's validity in capturing the data's underlying patterns.
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.
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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