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What correlations, as in correlation coefficient, does the following graphs have?

What correlations, as in correlation coefficient, does the following graphs have?

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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What correlations, as in correlation coefficient, does the following graphs have?

### Question #4 #### What correlations would the following graphs have? #### Explanation of the Graphs: **Graph on the Left:** - This scatter plot shows a wide distribution of data points with no apparent pattern. - The data points are spread across the entire range of the graph, indicating no clear relationship between the two variables. - Therefore, this graph likely represents a **zero or very weak correlation**, implying that changes in one variable do not predict changes in the other. **Graph on the Right:** - This scatter plot shows a clear upward trend, where the data points form a pattern from the bottom left to the top right. - The data points are closely aligned along an imaginary line, indicating a strong relationship between the two variables. - Thus, this graph represents a **strong positive correlation**, suggesting that as one variable increases, the other variable also increases linearly.
Transcribed Image Text:### Question #4 #### What correlations would the following graphs have? #### Explanation of the Graphs: **Graph on the Left:** - This scatter plot shows a wide distribution of data points with no apparent pattern. - The data points are spread across the entire range of the graph, indicating no clear relationship between the two variables. - Therefore, this graph likely represents a **zero or very weak correlation**, implying that changes in one variable do not predict changes in the other. **Graph on the Right:** - This scatter plot shows a clear upward trend, where the data points form a pattern from the bottom left to the top right. - The data points are closely aligned along an imaginary line, indicating a strong relationship between the two variables. - Thus, this graph represents a **strong positive correlation**, suggesting that as one variable increases, the other variable also increases linearly.
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