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various points and the velocity of the river at tho points. His data have a correlation coefficient of -0.9382 Which scatterplot could represent Bryson's data.

various points and the velocity of the river at tho points. His data have a correlation coefficient of -0.9382 Which scatterplot could represent Bryson's data.

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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**Question 4/10** Bryson collects data on the depth of a river at various points and the velocity of the river at those points. His data have a correlation coefficient of \(-0.9382\). **Which scatterplot could represent Bryson's data?** **Scatterplot A:** - The x-axis represents Depth (feet), ranging from 0 to 12 feet. - The y-axis represents Velocity (feet/second), ranging from 0 to 2.5 feet/second. - The plot shows a strong negative linear relationship; as depth increases, velocity decreases. **Scatterplot B:** - The x-axis represents Depth (feet), also ranging from 0 to 12 feet. - The y-axis represents Velocity (feet/second), ranging from 0 to 2.5 feet/second. - The plot shows a weaker, less consistent relationship; data points are more scattered with no clear pattern. Given the correlation coefficient of \(-0.9382\), which indicates a strong negative correlation, Scatterplot A is more likely to represent Bryson's data accurately.
Transcribed Image Text:**Question 4/10** Bryson collects data on the depth of a river at various points and the velocity of the river at those points. His data have a correlation coefficient of \(-0.9382\). **Which scatterplot could represent Bryson's data?** **Scatterplot A:** - The x-axis represents Depth (feet), ranging from 0 to 12 feet. - The y-axis represents Velocity (feet/second), ranging from 0 to 2.5 feet/second. - The plot shows a strong negative linear relationship; as depth increases, velocity decreases. **Scatterplot B:** - The x-axis represents Depth (feet), also ranging from 0 to 12 feet. - The y-axis represents Velocity (feet/second), ranging from 0 to 2.5 feet/second. - The plot shows a weaker, less consistent relationship; data points are more scattered with no clear pattern. Given the correlation coefficient of \(-0.9382\), which indicates a strong negative correlation, Scatterplot A is more likely to represent Bryson's data accurately.
**Graphs Explanation** The image contains two scatter plots labeled C and D, each depicting the relationship between the depth of water (in feet) and the velocity (in feet per second). **Graph C:** - **X-Axis (Horizontal):** Depth (feet), ranging from 0 to 12. - **Y-Axis (Vertical):** Velocity (feet/second), ranging from 0 to 2.5. - **Data Points:** Display a positive correlation. As the depth increases, the velocity generally increases. The majority of points cluster along an upward trend line. **Graph D:** - **X-Axis (Horizontal):** Depth (feet), ranging from 0 to 12. - **Y-Axis (Vertical):** Velocity (feet/second), ranging from 0 to 2.5. - **Data Points:** Display a scattered distribution with no clear correlation between depth and velocity. The points do not follow a consistent trend. These graphs are typically used in educational settings to illustrate how data can represent relationships between different variables, such as how water depth might affect flow velocity.
Transcribed Image Text:**Graphs Explanation** The image contains two scatter plots labeled C and D, each depicting the relationship between the depth of water (in feet) and the velocity (in feet per second). **Graph C:** - **X-Axis (Horizontal):** Depth (feet), ranging from 0 to 12. - **Y-Axis (Vertical):** Velocity (feet/second), ranging from 0 to 2.5. - **Data Points:** Display a positive correlation. As the depth increases, the velocity generally increases. The majority of points cluster along an upward trend line. **Graph D:** - **X-Axis (Horizontal):** Depth (feet), ranging from 0 to 12. - **Y-Axis (Vertical):** Velocity (feet/second), ranging from 0 to 2.5. - **Data Points:** Display a scattered distribution with no clear correlation between depth and velocity. The points do not follow a consistent trend. These graphs are typically used in educational settings to illustrate how data can represent relationships between different variables, such as how water depth might affect flow velocity.
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