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se the given data to complete parts (a) and (b) below. X yo 2.1 3.8 ) Draw a scatter diagram of the data. Choose the correct answer below. A. OB. A) 6- 4- 2- 0- 4 1.4 2.8 3.6 4.8 5 0 A Q 6- 4- 2- 0 Q O C. Ay 6- 4- 2- 0- ompute the linear correlation coefficient. The linear correlation coefficient for the four pieces of data is Round to three decimal places as needed.) 4 Q Q 5 D. 6- Ay 4- + N 2 0- OU

se the given data to complete parts (a) and (b) below. X yo 2.1 3.8 ) Draw a scatter diagram of the data. Choose the correct answer below. A. OB. A) 6- 4- 2- 0- 4 1.4 2.8 3.6 4.8 5 0 A Q 6- 4- 2- 0 Q O C. Ay 6- 4- 2- 0- ompute the linear correlation coefficient. The linear correlation coefficient for the four pieces of data is Round to three decimal places as needed.) 4 Q Q 5 D. 6- Ay 4- + N 2 0- OU

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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Compute the linear correlation coefficient. The linear correlation coefficient for the four pieces of data is

### Educational Content on Scatter Diagrams and Correlation Coefficient #### Data Provided The table below represents the values of two variables, \(x\) and \(y\): | \(x\) | \(y\) | |------|------| | 2.1 | 3.8 | | 4.0 | 1.4 | | 2.8 | 3.6 | | 4.8 | 5.0 | --- #### Part (a): Scatter Diagram A scatter diagram, also known as a scatter plot, visually represents the relationship between the two variables \(x\) and \(y\). Each data pair \((x, y)\) is plotted as a point on a Cartesian coordinate system. - **Scatter Plot Options:** - **A.** Points are distributed in a downward trend. - **B.** Points are scattered without any specific trend. - **C.** Points are scattered widely and randomly. - **D.** Points cluster in an upward trend. **Correct Answer: D.** The plot option D accurately represents the data with an upward trend, indicating a potential positive correlation between \(x\) and \(y\). --- #### Part (b): Linear Correlation Coefficient The **linear correlation coefficient** (often denoted as \(r\)) is a measure that describes the strength and direction of a linear relationship between two variables. It ranges from -1 to 1: - \(r = 1\) indicates a perfect positive linear relationship. - \(r = -1\) indicates a perfect negative linear relationship. - \(r = 0\) indicates no linear relationship. **Task:** Compute the linear correlation coefficient for the given data and round to three decimal places. --- This educational content aims to help users understand how to create and interpret scatter diagrams and calculate the linear correlation coefficient to analyze relationships between variables effectively.
Transcribed Image Text:### Educational Content on Scatter Diagrams and Correlation Coefficient #### Data Provided The table below represents the values of two variables, \(x\) and \(y\): | \(x\) | \(y\) | |------|------| | 2.1 | 3.8 | | 4.0 | 1.4 | | 2.8 | 3.6 | | 4.8 | 5.0 | --- #### Part (a): Scatter Diagram A scatter diagram, also known as a scatter plot, visually represents the relationship between the two variables \(x\) and \(y\). Each data pair \((x, y)\) is plotted as a point on a Cartesian coordinate system. - **Scatter Plot Options:** - **A.** Points are distributed in a downward trend. - **B.** Points are scattered without any specific trend. - **C.** Points are scattered widely and randomly. - **D.** Points cluster in an upward trend. **Correct Answer: D.** The plot option D accurately represents the data with an upward trend, indicating a potential positive correlation between \(x\) and \(y\). --- #### Part (b): Linear Correlation Coefficient The **linear correlation coefficient** (often denoted as \(r\)) is a measure that describes the strength and direction of a linear relationship between two variables. It ranges from -1 to 1: - \(r = 1\) indicates a perfect positive linear relationship. - \(r = -1\) indicates a perfect negative linear relationship. - \(r = 0\) indicates no linear relationship. **Task:** Compute the linear correlation coefficient for the given data and round to three decimal places. --- This educational content aims to help users understand how to create and interpret scatter diagrams and calculate the linear correlation coefficient to analyze relationships between variables effectively.
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