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Choose the correct answer below. O A. No, the residuals appear to be randomly spread. O B. Yes, the residuals show decreasing variation. OC. Yes, the residuals show a distinct cyclical pattern. O D. Yes, the residuals show a distinct curved pattern.

Choose the correct answer below. O A. No, the residuals appear to be randomly spread. O B. Yes, the residuals show decreasing variation. OC. Yes, the residuals show a distinct cyclical pattern. O D. Yes, the residuals show a distinct curved pattern.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Residual Analysis in Regression** The data provided includes X-values, residuals, and a residual plot from a regression analysis. The question to consider is whether there is any evidence of a pattern in the residuals. **Table of X-Values and Residuals:** - X: 1, Residual: 1.67 - X: 2, Residual: 1.08 - X: 3, Residual: -0.12 - X: 4, Residual: -0.74 - X: 5, Residual: -1.47 - X: 6, Residual: -0.51 - X: 7, Residual: 0.12 - X: 8, Residual: 0.53 - X: 9, Residual: 1.05 - X: 10, Residual: 1.74 **Residual Plot Description:** The residual plot features residuals on the Y-axis and X-values on the X-axis. The plotted points show a pattern: - Positive residuals at X-values 1, 2, 9, and 10 - Negative residuals between X-values 3 to 5 - A curved or U-shaped distribution is visible from the scatter of points, suggesting a potential pattern. **Question for Consideration:** Is there evidence of a pattern in the residuals? Choose the correct answer below: - A. No, the residuals appear to be randomly spread. - B. Yes, the residuals show decreasing variation. - C. Yes, the residuals show a distinct cyclical pattern. - D. Yes, the residuals show a distinct curved pattern. Based on the plot, the pattern looks like option D: the residuals show a distinct curved pattern.
Transcribed Image Text:**Residual Analysis in Regression** The data provided includes X-values, residuals, and a residual plot from a regression analysis. The question to consider is whether there is any evidence of a pattern in the residuals. **Table of X-Values and Residuals:** - X: 1, Residual: 1.67 - X: 2, Residual: 1.08 - X: 3, Residual: -0.12 - X: 4, Residual: -0.74 - X: 5, Residual: -1.47 - X: 6, Residual: -0.51 - X: 7, Residual: 0.12 - X: 8, Residual: 0.53 - X: 9, Residual: 1.05 - X: 10, Residual: 1.74 **Residual Plot Description:** The residual plot features residuals on the Y-axis and X-values on the X-axis. The plotted points show a pattern: - Positive residuals at X-values 1, 2, 9, and 10 - Negative residuals between X-values 3 to 5 - A curved or U-shaped distribution is visible from the scatter of points, suggesting a potential pattern. **Question for Consideration:** Is there evidence of a pattern in the residuals? Choose the correct answer below: - A. No, the residuals appear to be randomly spread. - B. Yes, the residuals show decreasing variation. - C. Yes, the residuals show a distinct cyclical pattern. - D. Yes, the residuals show a distinct curved pattern. Based on the plot, the pattern looks like option D: the residuals show a distinct curved pattern.
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