Question

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

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient $r$ ranges from - 1 to 1. A value close to -1 indicates a strong negative linear relationship, and a value closer to 0 indicates 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 weak negative linear relationship. In the second scatter - plot, the points are closely clustered around the regression line, indicating a strong negative linear relationship.

Step3: Match correlation coefficients

Since $r=-0.4$ represents a weak negative linear relationship and $r = - 0.9$ represents a strong negative linear relationship, $r=-0.4$ matches the first scatter - plot and $r=-0.9$ matches the second scatter - plot.

Answer:

$r=-0.4$ matches the first scatter - plot; $r=-0.9$ matches the second scatter - plot.