**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.

Negative correlation: If the variables X and Y are distributed in opposite way, then there exists a…

Answered: various points and the velocity of the…

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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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.