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а. y b. y с. у 15 15 E 15 10 10 10 5 5 10 15 10 15 5 10 15

а. y b. y с. у 15 15 E 15 10 10 10 5 5 10 15 10 15 5 10 15

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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### Scatterplots for Exercise 11.31 The image contains three scatterplots labeled as a, b, and c. Each scatterplot depicts a different data distribution on the x-y plane and can be used for analyzing trends and relationships between variables in statistical exercises. #### a. Scatterplot a - **Axises**: The x-axis and y-axis range approximately from 0 to 20. - **Pattern**: The data points show a positive correlation, indicating that as x increases, y tends to increase as well. The distribution of points forms a pattern that suggests linearity. #### b. Scatterplot b - **Axises**: Similarly, the x-axis and y-axis range from 0 to 20. - **Pattern**: This scatterplot displays a clear linear relationship between the variables. The data points are more tightly clustered along an upward sloping line compared to plot a, suggesting a stronger positive correlation. #### c. Scatterplot c - **Axises**: The x-axis and y-axis range from 0 to 20. - **Pattern**: The data points form a negative correlation, with the points spread in a downward trend as x increases. This indicates that as x increases, y tends to decrease, forming an inverse relationship opposed to the patterns in scatterplots a and b. These scatterplots can be used to understand and interpret different types of correlations in data analysis exercises.
Transcribed Image Text:### Scatterplots for Exercise 11.31 The image contains three scatterplots labeled as a, b, and c. Each scatterplot depicts a different data distribution on the x-y plane and can be used for analyzing trends and relationships between variables in statistical exercises. #### a. Scatterplot a - **Axises**: The x-axis and y-axis range approximately from 0 to 20. - **Pattern**: The data points show a positive correlation, indicating that as x increases, y tends to increase as well. The distribution of points forms a pattern that suggests linearity. #### b. Scatterplot b - **Axises**: Similarly, the x-axis and y-axis range from 0 to 20. - **Pattern**: This scatterplot displays a clear linear relationship between the variables. The data points are more tightly clustered along an upward sloping line compared to plot a, suggesting a stronger positive correlation. #### c. Scatterplot c - **Axises**: The x-axis and y-axis range from 0 to 20. - **Pattern**: The data points form a negative correlation, with the points spread in a downward trend as x increases. This indicates that as x increases, y tends to decrease, forming an inverse relationship opposed to the patterns in scatterplots a and b. These scatterplots can be used to understand and interpret different types of correlations in data analysis exercises.
11.31 Visually compare the scatterplots shown below. If a least squares line were determined for each data set, which do you think would have the smallest variance, s²? Explain.
Transcribed Image Text:11.31 Visually compare the scatterplots shown below. If a least squares line were determined for each data set, which do you think would have the smallest variance, s²? Explain.
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