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

Explanation:

Step1: Understand correlation coefficient

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

Step2: Analyze scatter - plots

In the first scatter - plot, the points are more spread out around the regression line, indicating a weaker linear relationship. In the second scatter - plot, the points are closer to the regression line, indicating a stronger linear relationship.

Step3: Match coefficients

Since $r = 0.4$ represents a weak positive linear relationship and $r=0.9$ represents a strong positive linear relationship, $r = 0.4$ should be matched with the scatter - plot where points are more spread out and $r = 0.9$ should be matched with the scatter - plot where points are closer to the line.

Answer:

The scatter - plot with more spread - out points matches $r = 0.4$, and the scatter - plot with points closer to the line matches $r = 0.9$.