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 close to - 1 or 1 indicate a strong linear relationship, while values close to 0 indicate a weak linear relationship. A negative $r$ value means a negative - linear relationship (as $x$ increases, $y$ decreases).

Step2: Analyze $r=-0.9$

The value $r = - 0.9$ is close to - 1, so it represents a strong negative - linear relationship. The data points in the scatter - plot will be closely clustered around the least - squares regression line.

Step3: Analyze $r=-0.2$

The value $r=-0.2$ is close to 0, so it represents a weak negative - linear relationship. The data points in the scatter - plot will be more spread out around the least - squares regression line.

Step4: Match the scatter - plots

The scatter - plot on the left has data points closely clustered around the regression line, so it corresponds to $r=-0.9$. The scatter - plot on the right has data points more spread out around the regression line, so it corresponds to $r = - 0.2$.

Answer:

Left scatter - plot: $r=-0.9$; Right scatter - plot: $r=-0.2$