Which plot indicates a correlation of 0.7? Y & R 8 50 T 10
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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![**Question:**
Which plot indicates a correlation of 0.7?
**Answer Options:**
1. ![Image 1 Description: Scatter plot displaying a data set where the dependent variable (Y) appears scattered, showing a weak negative correlation with the independent variable (X).])
2. ![Image 2 Description: Scatter plot displaying a data set where the dependent variable (Y) appears to show a moderately strong positive correlation with the independent variable (X).])
3. ![Image 3 Description: Scatter plot displaying a data set where the dependent variable (Y) appears to show a very strong positive correlation with the independent variable (X).])
To identify which plot indicates a correlation of 0.7, it is necessary to understand the pattern of the data points in each scatter plot:
1. **Plot 1**: The data points exhibit a weak, negative correlation, indicating that as the value of X increases, the value of Y tends to decrease.
2. **Plot 2**: The data points show a moderate to strong positive correlation, indicating that as the value of X increases, the value of Y also increases. The correlation appears to be around 0.7, based on the clustering and linear progression of the points.
3. **Plot 3**: The data points are very tightly clustered along a linear path, showing a very strong positive correlation, likely closer to or exactly equal to 1.0.
Based on these observations, **Plot 2** is the one that indicates a correlation of 0.7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23f14c8c-5141-4be2-aa93-07a6356450c6%2Fb3fcd88c-3cb5-4d69-91e3-682d8f80c516%2Fjsh70t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Which plot indicates a correlation of 0.7?
**Answer Options:**
1. ![Image 1 Description: Scatter plot displaying a data set where the dependent variable (Y) appears scattered, showing a weak negative correlation with the independent variable (X).])
2. ![Image 2 Description: Scatter plot displaying a data set where the dependent variable (Y) appears to show a moderately strong positive correlation with the independent variable (X).])
3. ![Image 3 Description: Scatter plot displaying a data set where the dependent variable (Y) appears to show a very strong positive correlation with the independent variable (X).])
To identify which plot indicates a correlation of 0.7, it is necessary to understand the pattern of the data points in each scatter plot:
1. **Plot 1**: The data points exhibit a weak, negative correlation, indicating that as the value of X increases, the value of Y tends to decrease.
2. **Plot 2**: The data points show a moderate to strong positive correlation, indicating that as the value of X increases, the value of Y also increases. The correlation appears to be around 0.7, based on the clustering and linear progression of the points.
3. **Plot 3**: The data points are very tightly clustered along a linear path, showing a very strong positive correlation, likely closer to or exactly equal to 1.0.
Based on these observations, **Plot 2** is the one that indicates a correlation of 0.7.
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