3. Below is a scatterplot of two variables Y and X. Which of the following is most likely the value of the correlation coefficient rxy? .02 .04 06 .08 A. 0.99 B. -0.50 С. 0 D. 0.99 86 96
3. Below is a scatterplot of two variables Y and X. Which of the following is most likely the value of the correlation coefficient rxy? .02 .04 06 .08 A. 0.99 B. -0.50 С. 0 D. 0.99 86 96
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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Transcribed Image Text:**Question 3:**
Below is a scatterplot of two variables, Y and X. Which of the following is most likely the value of the correlation coefficient \( r_{xy} \)?
**Scatterplot Explanation:**
The scatterplot presents data points for two variables, Y and X. The X-axis ranges from 0 to approximately 0.08, and the Y-axis ranges from 0.92 to 1. The data points form a downward trend, indicating a negative linear relationship between the variables. As X increases, Y decreases consistently.
**Answer Options:**
A. 0.99
B. \(-0.50\)
C. 0
D. \(-0.99\)
The correct answer is option D (\(-0.99\)), as the scatterplot shows a strong negative correlation between X and Y, with data points closely clustered along a downward-sloping line.
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