Which of the following choices correctly identifies the following Q-Q plots for the normality of residuals assumption? Select one.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Which of the following choices correctly identifies the following Q-Q plots for the normality of residuals assumption? Select one.

The image contains two Q-Q plots labeled Graph A and Graph B.

### Graph A:
- **Axes:** The x-axis represents theoretical quantiles, and the y-axis represents sample quantiles.
- **Data Points:** The data points are in blue and follow a curved pattern around the red reference line.
- **Interpretation:** The deviation from the reference line suggests the data does not perfectly follow a normal distribution.

### Graph B:
- **Axes:** Similar to Graph A, the x-axis represents theoretical quantiles, and the y-axis represents sample quantiles.
- **Data Points:** The data points are in blue and lie closer to the red reference line compared to Graph A.
- **Interpretation:** The closer alignment with the reference line indicates that the data more closely follows a normal distribution.

### Question and Options:
- **Question:** Which of the graphs shows residuals with a distribution that closely approximates a Normal distribution?
- **Options:**
  - Graph B shows residuals with a distribution that more closely approximates a Normal distribution than Graph A.
  - Graph A shows residuals with a distribution that more closely approximates a Normal distribution than Graph B.
  - Both graphs show residuals with a distribution that is not Normal.
  - Graphs A and B both show residuals with distributions that closely approximate a Normal distribution.
Transcribed Image Text:The image contains two Q-Q plots labeled Graph A and Graph B. ### Graph A: - **Axes:** The x-axis represents theoretical quantiles, and the y-axis represents sample quantiles. - **Data Points:** The data points are in blue and follow a curved pattern around the red reference line. - **Interpretation:** The deviation from the reference line suggests the data does not perfectly follow a normal distribution. ### Graph B: - **Axes:** Similar to Graph A, the x-axis represents theoretical quantiles, and the y-axis represents sample quantiles. - **Data Points:** The data points are in blue and lie closer to the red reference line compared to Graph A. - **Interpretation:** The closer alignment with the reference line indicates that the data more closely follows a normal distribution. ### Question and Options: - **Question:** Which of the graphs shows residuals with a distribution that closely approximates a Normal distribution? - **Options:** - Graph B shows residuals with a distribution that more closely approximates a Normal distribution than Graph A. - Graph A shows residuals with a distribution that more closely approximates a Normal distribution than Graph B. - Both graphs show residuals with a distribution that is not Normal. - Graphs A and B both show residuals with distributions that closely approximate a Normal distribution.
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