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Match each scatterplot shown below with one of the four specified correlations O O O ooo 00 8 88 O 50 O 9 a. -0.34 b. -0.88 c. 0.54 d. 0.67

Match each scatterplot shown below with one of the four specified correlations O O O ooo 00 8 88 O 50 O 9 a. -0.34 b. -0.88 c. 0.54 d. 0.67

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 Correlations through Scatterplots This educational content focuses on the visualization of data using scatterplots and the concept of correlation. Here, you will match each given scatterplot to one of four specified correlation values. #### Correlation Values: - **a.** -0.34 - **b.** -0.88 - **c.** 0.54 - **d.** 0.67 #### Scatterplot Analysis: 1. **Scatterplot 1:** - **Description:** The plot features yellow data points scattered throughout the graph, showing a slight downward trend as you move from left to right. - **Correlation:** This likely represents a weak to moderate negative correlation. 2. **Scatterplot 2:** - **Description:** This plot exhibits a clear and strong downward trend, with data points closely aligned in a negative slope. - **Correlation:** Suggests a strong negative correlation. 3. **Scatterplot 3:** - **Description:** Displays a moderate upward trend, with data points showing some alignment along a positive slope. - **Correlation:** Indicates a moderate positive correlation. 4. **Scatterplot 4:** - **Description:** Shows a more defined upward trend with data points more tightly clustered around an upward slope. - **Correlation:** Reflects a strong positive correlation. ### Task: Match each scatterplot with one of the correlation values provided. Analyze the direction and strength of the trends depicted in the plots to make your selections. Consider how closely the data points align along a line of best fit to determine the strength of correlation.
Transcribed Image Text:### Understanding Correlations through Scatterplots This educational content focuses on the visualization of data using scatterplots and the concept of correlation. Here, you will match each given scatterplot to one of four specified correlation values. #### Correlation Values: - **a.** -0.34 - **b.** -0.88 - **c.** 0.54 - **d.** 0.67 #### Scatterplot Analysis: 1. **Scatterplot 1:** - **Description:** The plot features yellow data points scattered throughout the graph, showing a slight downward trend as you move from left to right. - **Correlation:** This likely represents a weak to moderate negative correlation. 2. **Scatterplot 2:** - **Description:** This plot exhibits a clear and strong downward trend, with data points closely aligned in a negative slope. - **Correlation:** Suggests a strong negative correlation. 3. **Scatterplot 3:** - **Description:** Displays a moderate upward trend, with data points showing some alignment along a positive slope. - **Correlation:** Indicates a moderate positive correlation. 4. **Scatterplot 4:** - **Description:** Shows a more defined upward trend with data points more tightly clustered around an upward slope. - **Correlation:** Reflects a strong positive correlation. ### Task: Match each scatterplot with one of the correlation values provided. Analyze the direction and strength of the trends depicted in the plots to make your selections. Consider how closely the data points align along a line of best fit to determine the strength of correlation.
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The scatterplot essentially explains the nature of the relationship between two random variables. This relationship between two variables is measured in terms of numerical quantity and is defined as the coefficient of correlation. The correlation coefficient is denoted as r, and the range of this coefficient value is given as, -1≤r≤1.

 

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