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QUESTION IMAGE

match each correlation coefficient to the appropriate scatter plot. the…

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: Relate r to point clustering

The correlation coefficient \(r\) (range: \(-1\) to \(1\)) measures how closely data points cluster around the regression line. A value closer to \(1\) means tighter clustering.

Step2: Analyze top scatter plot

Points cluster tightly near the regression line, so this plot matches \(r = 0.9\) (a strong positive correlation).

Step3: Analyze bottom scatter plot

Points are widely spread from the regression line, so this plot matches \(r = 0.4\) (a weak positive correlation).

Answer:

Top scatter plot: \(r = 0.9\)
Bottom scatter plot: \(r = 0.4\)