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 positive linear relationship.

Step2: Analyze left - hand scatter plot

In the left - hand scatter plot, the points are randomly scattered around the horizontal regression line, indicating no linear relationship. So, $r = 0$ corresponds to the left - hand scatter plot.

Step3: Analyze right - hand scatter plot

In the right - hand scatter plot, the points show a positive trend (as $x$ increases, $y$ tends to increase) and there is a moderate linear relationship. So, $r = 0.5$ corresponds to the right - hand scatter plot.

Answer:

$r = 0$ matches the left - hand scatter plot; $r = 0.5$ matches the right - hand scatter plot.