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Match these values or r with the accompanying scatterplots: 0.761, 1, -0.396, -0.997, and -0.761

Match these values or r with the accompanying scatterplots: 0.761, 1, -0.396, -0.997, and -0.761

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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Match these values or r with the accompanying scatterplots: 0.761, 1, -0.396, -0.997, and -0.761.

### Matching Correlation Coefficients to Scatterplots This exercise involves matching correlation coefficients (r values) to their corresponding scatterplots. The given r values are 0.761, 1, -0.396, -0.997, and -0.761. #### Scatterplot Analysis 1. **Scatterplot 1** - **Description**: The plot shows a strong positive linear relationship with points closely aligned along a line. - **Potential r value**: This scatterplot likely corresponds to r = 1 due to the perfect linear relationship. 2. **Scatterplot 2** - **Description**: Points are scattered without any discernible linear trend, indicating a weak correlation. - **Potential r value**: This scatterplot might correspond to r = -0.396, showing a weak negative correlation. 3. **Scatterplot 3** - **Description**: Similar to Scatterplot 2, with a slightly more negative trend. - **Potential r value**: This plot could correspond to r = -0.761. 4. **Scatterplot 4** - **Description**: Displaying a strong negative linear relationship with points tightly aligned. - **Potential r value**: This scatterplot corresponds to r = -0.997. 5. **Scatterplot 5** - **Description**: Points show a moderate positive linear trend. - **Potential r value**: Likely matches with r = 0.761 due to the moderate positive correlation. Match the values of r given above to the corresponding scatterplots by observing the linear trends and the extent to which the data points cluster around a line.
Transcribed Image Text:### Matching Correlation Coefficients to Scatterplots This exercise involves matching correlation coefficients (r values) to their corresponding scatterplots. The given r values are 0.761, 1, -0.396, -0.997, and -0.761. #### Scatterplot Analysis 1. **Scatterplot 1** - **Description**: The plot shows a strong positive linear relationship with points closely aligned along a line. - **Potential r value**: This scatterplot likely corresponds to r = 1 due to the perfect linear relationship. 2. **Scatterplot 2** - **Description**: Points are scattered without any discernible linear trend, indicating a weak correlation. - **Potential r value**: This scatterplot might correspond to r = -0.396, showing a weak negative correlation. 3. **Scatterplot 3** - **Description**: Similar to Scatterplot 2, with a slightly more negative trend. - **Potential r value**: This plot could correspond to r = -0.761. 4. **Scatterplot 4** - **Description**: Displaying a strong negative linear relationship with points tightly aligned. - **Potential r value**: This scatterplot corresponds to r = -0.997. 5. **Scatterplot 5** - **Description**: Points show a moderate positive linear trend. - **Potential r value**: Likely matches with r = 0.761 due to the moderate positive correlation. Match the values of r given above to the corresponding scatterplots by observing the linear trends and the extent to which the data points cluster around a line.
**Scatterplot 3 Detailed Explanation** This scatterplot graph visually represents a set of data points on an x-y axis. The horizontal axis is labeled as "x," and its scale ranges from 0 to 1 in increments of 0.2. The vertical axis is labeled as "y," with a scale ranging from 0 to 8 in increments of 2. **Key Features of the Scatterplot:** - **Data Points:** There are 10 data points plotted on the graph, represented by small blue dots. - **Distribution:** The points are scattered across the grid without any clear linear pattern, indicating a lack of strong correlation between the variables on the x and y axes. - **X-Axis Details:** - Starts at 0 and ends at 1. - Points of interest on this axis include approximately 0.1, 0.2, 0.3, 0.5, 0.6, and 0.8, showing where the data points are located. - **Y-Axis Details:** - Starts at 0 and extends up to 8. - The data points are spread across different y-values, suggesting variability in the dependent variable. This scatterplot could be used in educational contexts to illustrate concepts such as data distribution, variability, and correlation in statistics.
Transcribed Image Text:**Scatterplot 3 Detailed Explanation** This scatterplot graph visually represents a set of data points on an x-y axis. The horizontal axis is labeled as "x," and its scale ranges from 0 to 1 in increments of 0.2. The vertical axis is labeled as "y," with a scale ranging from 0 to 8 in increments of 2. **Key Features of the Scatterplot:** - **Data Points:** There are 10 data points plotted on the graph, represented by small blue dots. - **Distribution:** The points are scattered across the grid without any clear linear pattern, indicating a lack of strong correlation between the variables on the x and y axes. - **X-Axis Details:** - Starts at 0 and ends at 1. - Points of interest on this axis include approximately 0.1, 0.2, 0.3, 0.5, 0.6, and 0.8, showing where the data points are located. - **Y-Axis Details:** - Starts at 0 and extends up to 8. - The data points are spread across different y-values, suggesting variability in the dependent variable. This scatterplot could be used in educational contexts to illustrate concepts such as data distribution, variability, and correlation in statistics.
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