Question

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.
$r = - 0.1$
$r = - 0.8$

Explanation:

Step1: Understand the correlation coefficient

The correlation coefficient \( r \) measures the strength and direction of a linear relationship. Values of \( r \) range from \(- 1\) to \(1\). A value close to \(-1\) indicates a strong negative linear relationship, while a value close to \(0\) indicates a weak linear relationship.

Step2: Analyze the first scatter - plot

In the first scatter - plot, the points are relatively close to the least - squares regression line (negative - sloped line). This indicates a relatively strong negative linear relationship. So, \( r=-0.8 \) should be matched with the first scatter - plot.

Step3: Analyze the second scatter - plot

In the second scatter - plot, the points are more spread out from the least - squares regression line (negative - sloped line). This indicates a relatively weak negative linear relationship. So, \( r = - 0.1\) should be matched with the second scatter - plot.

Answer:

Left scatter - plot: \( r=-0.8\), Right scatter - plot: \( r=-0.1\)