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 = 0.4 r = 0.9

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line. r = 0.4 r = 0.9

Answer

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, and values closer to 0 indicate a weak linear relationship.

Step2: Analyze the first scatter - plot

In the first scatter - plot, the points are more spread out around the regression line, indicating a weaker linear relationship. So, it corresponds to $r = 0.4$.

Step3: Analyze the second scatter - plot

In the second scatter - plot, the points are closer to the regression line, indicating a stronger linear relationship. So, it corresponds to $r = 0.9$.

Answer:

Left scatter - plot: $r = 0.4$; Right scatter - plot: $r = 0.9$