match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the…

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line. r = 0 r = -0.5

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line. r = 0 r = -0.5

Answer

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient $r$ measures the strength and direction of a linear relationship. $r = 0$ means no linear - relationship, and $r=- 0.5$ means a moderate negative linear relationship.

Step2: Analyze scatter - plots

In the first scatter - plot, the points show a downward trend, indicating a negative linear relationship. In the second scatter - plot, the points are randomly scattered around a horizontal line, indicating no linear relationship.

Answer:

$r = 0$ matches the second scatter - plot; $r=-0.5$ matches the first scatter - plot.