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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Match these values or r with the accompanying
![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2731a74b-0add-4fc5-b627-4c578fe40a02%2Fa4c2b5b6-5f39-420c-a3de-2663ce559238%2F9bq6ngj_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2731a74b-0add-4fc5-b627-4c578fe40a02%2Fa4c2b5b6-5f39-420c-a3de-2663ce559238%2Fkp5hkh_processed.png&w=3840&q=75)
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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