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There is a scatter plot for X and Y variables and correlation coefficient for their relationship below. What is correct about the strength and direction of the relationship between X and Y? Seçtiğiniz cevabın işaretlendiğini görene kadar bekleyiniz. 5,00 Puan B C r=-.50 D E The relationship is not significant There is a negative strong relationship There is a negative moderate relationship There is a positive moderate relationship There is no linear relationship

There is a scatter plot for X and Y variables and correlation coefficient for their relationship below. What is correct about the strength and direction of the relationship between X and Y? Seçtiğiniz cevabın işaretlendiğini görene kadar bekleyiniz. 5,00 Puan B C r=-.50 D E The relationship is not significant There is a negative strong relationship There is a negative moderate relationship There is a positive moderate relationship There is no linear relationship

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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### Understanding the Relationship between Variables X and Y #### Scatter Plot Analysis and Correlation Coefficient In this section, we will analyze the relationship between two variables, X and Y, using a scatter plot and a correlation coefficient provided. ![Scatter Plot](scatterplot_url) **Caption:** Scatter plot of variables X and Y with a correlation coefficient \( r = -0.50 \). The scatter plot displays numerous data points plotted against two axes, X (horizontal axis) and Y (vertical axis). Each point represents a pair of observed values for these variables. #### Question: **What is correct about the strength and direction of the relationship between X and Y?** #### Multiple Choice Options: 1. **A. The relationship is not significant** 2. **B. There is a negative strong relationship** 3. **C. There is a negative moderate relationship** 4. **D. There is a positive moderate relationship** 5. **E. There is no linear relationship** **Selected Answer:** - **B. There is a negative strong relationship** #### Explanation: The correlation coefficient \( r = -0.50 \) indicates a moderate negative linear relationship between the variables X and Y. This means that, generally, as the value of X increases, the value of Y tends to decrease, and vice versa. However, option B erroneously notes the relationship as 'strong' instead of 'moderate.' The correct interpretation of \( r = -0.50 \) is a moderate negative relationship, not strong. A more appropriate option would be: - **C. There is a negative moderate relationship**. This adjustment accurately reflects the strength and direction of the correlation coefficient presented.
Transcribed Image Text:### Understanding the Relationship between Variables X and Y #### Scatter Plot Analysis and Correlation Coefficient In this section, we will analyze the relationship between two variables, X and Y, using a scatter plot and a correlation coefficient provided. ![Scatter Plot](scatterplot_url) **Caption:** Scatter plot of variables X and Y with a correlation coefficient \( r = -0.50 \). The scatter plot displays numerous data points plotted against two axes, X (horizontal axis) and Y (vertical axis). Each point represents a pair of observed values for these variables. #### Question: **What is correct about the strength and direction of the relationship between X and Y?** #### Multiple Choice Options: 1. **A. The relationship is not significant** 2. **B. There is a negative strong relationship** 3. **C. There is a negative moderate relationship** 4. **D. There is a positive moderate relationship** 5. **E. There is no linear relationship** **Selected Answer:** - **B. There is a negative strong relationship** #### Explanation: The correlation coefficient \( r = -0.50 \) indicates a moderate negative linear relationship between the variables X and Y. This means that, generally, as the value of X increases, the value of Y tends to decrease, and vice versa. However, option B erroneously notes the relationship as 'strong' instead of 'moderate.' The correct interpretation of \( r = -0.50 \) is a moderate negative relationship, not strong. A more appropriate option would be: - **C. There is a negative moderate relationship**. This adjustment accurately reflects the strength and direction of the correlation coefficient presented.
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