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.\nr = -0.3 r = -0.8

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.\nr = -0.3 r = -0.8

Answer

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.

Step2: Analyze the first scatter - plot

In the first scatter - plot, the points are more spread out around the least - squares regression line, indicating a weaker linear relationship.

Step3: Analyze the second scatter - plot

In the second scatter - plot, the points are closer to the least - squares regression line, indicating a stronger linear relationship.

Step4: Match the coefficients

Since $r=-0.3$ represents a weak negative linear relationship and $r = - 0.8$ represents a strong negative linear relationship, the first scatter - plot corresponds to $r=-0.3$ and the second scatter - plot corresponds to $r=-0.8$.

Answer:

The scatter - plot on the left corresponds to $r=-0.3$, and the scatter - plot on the right corresponds to $r=-0.8$.