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.\nr = 0.2\nr = 0.9

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.\nr = 0.2\nr = 0.9

Answer

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient $r$ measures the strength and direction of a linear relationship. Values close to 1 indicate a strong positive linear - relationship, and values close to 0 indicate a weak linear relationship.

Step2: Analyze first scatter - plot

In the first scatter - plot, the points are closely clustered around the least - squares regression line, indicating a strong positive linear relationship. So, $r = 0.9$ corresponds to the first scatter - plot.

Step3: Analyze second scatter - plot

In the second scatter - plot, the points are more spread out around the least - squares regression line, indicating a weak positive linear relationship. So, $r = 0.2$ corresponds to the second scatter - plot.

Answer:

$r = 0.9$ matches the first scatter - plot; $r = 0.2$ matches the second scatter - plot.