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. Which data set has an apparent negative, but not perfect linear relationship between its two variables? 2. In which data set is there evidence of a strong nonlinear relationship between its two variables? 3. Which data set indicates the strongest negative linear relationship between its two variables? 4. Which data set indicates a perfect positive linear relationship between its two variables?

. Which data set has an apparent negative, but not perfect linear relationship between its two variables? 2. In which data set is there evidence of a strong nonlinear relationship between its two variables? 3. Which data set indicates the strongest negative linear relationship between its two variables? 4. Which data set indicates a perfect positive linear relationship between its two variables?

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
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1. Which data set has an apparent negative, but not perfect linear relationship between its two variables? 2. In which data set is there evidence of a strong nonlinear relationship between its two variables? 3. Which data set indicates the strongest negative linear relationship between its two variables? 4. Which data set indicates a perfect positive linear relationship between its two variables?
The image features two tables and two scatter plots illustrating the relationships between different sets of variables. ### Table and Graph Explanation **Figure 3:** - **Table (w, t):** - Rows of data pairs where: - \( w \) values: 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 - \( t \) values: 8.0, 7.5, 7.6, 5.6, 7.3, 4.2, 4.8, 3.6, 4.6, 3.2 - **Scatter Plot (w, t):** - The x-axis represents \( w \) and ranges from 0 to 11. - The y-axis represents \( t \) and ranges from 0 to 11. - The points plotted suggest a trend where as \( w \) increases, \( t \) generally decreases. **Figure 4:** - **Table (m, n):** - Rows of data pairs where: - \( m \) values: 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 - \( n \) values: 10.0, 9.0, 8.0, 7.0, 6.0, 5.0, 4.0, 3.0, 2.0, 1.0 - **Scatter Plot (m, n):** - The x-axis represents \( m \) and ranges from 0 to 11. - The y-axis represents \( n \) and ranges from 0 to 11. - The points plotted display a clear linear decrease in \( n \) as \( m \) increases, forming a downward linear trend. Both figures illustrate how changes in one variable correlate with changes in another, highlighting different trends in data relationships.
Transcribed Image Text:The image features two tables and two scatter plots illustrating the relationships between different sets of variables. ### Table and Graph Explanation **Figure 3:** - **Table (w, t):** - Rows of data pairs where: - \( w \) values: 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 - \( t \) values: 8.0, 7.5, 7.6, 5.6, 7.3, 4.2, 4.8, 3.6, 4.6, 3.2 - **Scatter Plot (w, t):** - The x-axis represents \( w \) and ranges from 0 to 11. - The y-axis represents \( t \) and ranges from 0 to 11. - The points plotted suggest a trend where as \( w \) increases, \( t \) generally decreases. **Figure 4:** - **Table (m, n):** - Rows of data pairs where: - \( m \) values: 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 - \( n \) values: 10.0, 9.0, 8.0, 7.0, 6.0, 5.0, 4.0, 3.0, 2.0, 1.0 - **Scatter Plot (m, n):** - The x-axis represents \( m \) and ranges from 0 to 11. - The y-axis represents \( n \) and ranges from 0 to 11. - The points plotted display a clear linear decrease in \( n \) as \( m \) increases, forming a downward linear trend. Both figures illustrate how changes in one variable correlate with changes in another, highlighting different trends in data relationships.
Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. ### Table and Plot for Data Set 1: - **Data Table (x, y):** - (1.0, 4.2) - (2.0, 6.5) - (3.0, 7.0) - (4.0, 4.5) - (5.0, 5.0) - (6.0, 8.3) - (7.0, 5.8) - (8.0, 6.5) - (9.0, 9.1) - (10.0, 7.7) - **Scatter Plot (Figure 1):** - The plot shows a general upward trend with some variability. Most data points are concentrated in the middle, with a slight spread towards the lower and upper ends of the x-values. ### Table and Plot for Data Set 2: - **Data Table (u, v):** - (1.0, 7.9) - (2.0, 4.6) - (3.0, 3.1) - (4.0, 2.5) - (5.0, 2.1) - (6.0, 2.1) - (7.0, 6.9) - (8.0, 3.2) - (9.0, 5.0) - (10.0, 7.3) - **Scatter Plot (Figure 2):** - The plot displays a U-shaped pattern with data points. The values first decrease, reach a minimum, and then increase again. Data is spread with a wider range in the middle x-values. Each figure provides a visual representation of the respective data sets, aiding in the analysis of trends and patterns between the variables.
Transcribed Image Text:Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. ### Table and Plot for Data Set 1: - **Data Table (x, y):** - (1.0, 4.2) - (2.0, 6.5) - (3.0, 7.0) - (4.0, 4.5) - (5.0, 5.0) - (6.0, 8.3) - (7.0, 5.8) - (8.0, 6.5) - (9.0, 9.1) - (10.0, 7.7) - **Scatter Plot (Figure 1):** - The plot shows a general upward trend with some variability. Most data points are concentrated in the middle, with a slight spread towards the lower and upper ends of the x-values. ### Table and Plot for Data Set 2: - **Data Table (u, v):** - (1.0, 7.9) - (2.0, 4.6) - (3.0, 3.1) - (4.0, 2.5) - (5.0, 2.1) - (6.0, 2.1) - (7.0, 6.9) - (8.0, 3.2) - (9.0, 5.0) - (10.0, 7.3) - **Scatter Plot (Figure 2):** - The plot displays a U-shaped pattern with data points. The values first decrease, reach a minimum, and then increase again. Data is spread with a wider range in the middle x-values. Each figure provides a visual representation of the respective data sets, aiding in the analysis of trends and patterns between the variables.
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