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Based on the scatterplot above, is it appropriate to fit a simple linear regression model using X and Y? True or False. O False

Based on the scatterplot above, is it appropriate to fit a simple linear regression model using X and Y? True or False. O False

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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### Educational Content #### Scatterplot and Regression Analysis **Scatterplot Description:** The scatterplot displayed above reveals a collection of data points, organized in a pattern shaped like an inverted U. The horizontal axis represents variable X, while the vertical axis signifies variable Y. The data points are widely dispersed, forming a clear, curved pattern. **Analysis Question:** Based on the scatterplot above, is it appropriate to fit a simple linear regression model using X and Y? **Answer Options:** - ○ False - ○ True **Explanation:** In the context of regression analysis, a simple linear regression model is suitable when the relationship between the dependent variable Y and the independent variable X is linear. The U-shaped or curved distribution of data points implies a non-linear relationship, suggesting that a simple linear regression would not be an appropriate model for this dataset.
Transcribed Image Text:### Educational Content #### Scatterplot and Regression Analysis **Scatterplot Description:** The scatterplot displayed above reveals a collection of data points, organized in a pattern shaped like an inverted U. The horizontal axis represents variable X, while the vertical axis signifies variable Y. The data points are widely dispersed, forming a clear, curved pattern. **Analysis Question:** Based on the scatterplot above, is it appropriate to fit a simple linear regression model using X and Y? **Answer Options:** - ○ False - ○ True **Explanation:** In the context of regression analysis, a simple linear regression model is suitable when the relationship between the dependent variable Y and the independent variable X is linear. The U-shaped or curved distribution of data points implies a non-linear relationship, suggesting that a simple linear regression would not be an appropriate model for this dataset.
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