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.

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**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.
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.
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