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-0.112 0.001 0.091 0.942 3- 2- X Based on the plot displayed here, what is a possible correlation between the variables and y?

-0.112 0.001 0.091 0.942 3- 2- X Based on the plot displayed here, what is a possible correlation between the variables and y?

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 Correlation Between Variables #### Question: Based on the plot displayed here, what is a possible correlation between the variables \(x\) and \(y\)? #### Answer Options: - \(-0.112\) - \(0.001\) - \(0.091\) - \(0.942\) #### Graph Explanation: The scatter plot displayed is useful in analyzing the relationship between two variables, \(x\) (on the horizontal axis) and \(y\) (on the vertical axis). Each point on the plot represents a pair of observed values for these variables. In this scatter plot: - \(x\) values range approximately from 0 to 6. - \(y\) values range approximately from 5 to 25. - The points seem to form an upward trend: as \(x\) increases, \(y\) also tends to increase. This upward trend suggests a positive correlation between the variables \(x\) and \(y\). ##### Identifying Correlation: Correlation coefficient values can range from \(-1\) to \(1\): - A positive value indicates a positive correlation. - A negative value indicates a negative correlation. - Values close to 0 indicate no correlation. From the observed positive trend in the plot, the most likely correct correlation coefficient among the provided options is \(0.942\), indicating a strong positive correlation.
Transcribed Image Text:### Understanding Correlation Between Variables #### Question: Based on the plot displayed here, what is a possible correlation between the variables \(x\) and \(y\)? #### Answer Options: - \(-0.112\) - \(0.001\) - \(0.091\) - \(0.942\) #### Graph Explanation: The scatter plot displayed is useful in analyzing the relationship between two variables, \(x\) (on the horizontal axis) and \(y\) (on the vertical axis). Each point on the plot represents a pair of observed values for these variables. In this scatter plot: - \(x\) values range approximately from 0 to 6. - \(y\) values range approximately from 5 to 25. - The points seem to form an upward trend: as \(x\) increases, \(y\) also tends to increase. This upward trend suggests a positive correlation between the variables \(x\) and \(y\). ##### Identifying Correlation: Correlation coefficient values can range from \(-1\) to \(1\): - A positive value indicates a positive correlation. - A negative value indicates a negative correlation. - Values close to 0 indicate no correlation. From the observed positive trend in the plot, the most likely correct correlation coefficient among the provided options is \(0.942\), indicating a strong positive correlation.
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