Question

match each correlation coefficient to the appropriate scatter plot.
r = 0.6 r = -0.4

Explanation:

Step1: Understand the sign of correlation coefficient

A positive correlation coefficient ($r = 0.6$) means that as $x$ increases, $y$ has a tendency to increase. A negative correlation coefficient ($r=-0.4$) means that as $x$ increases, $y$ has a tendency to decrease.

Step2: Analyze the scatter - plots

For the first scatter - plot: As $x$ increases, $y$ has a decreasing trend. For the second scatter - plot: As $x$ increases, $y$ has an increasing trend.

Answer:

$r = 0.6$ matches the second scatter - plot and $r=-0.4$ matches the first scatter - plot.