Question

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.
work it out
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Explanation:

Step1: Analyze Correlation Sign

For the top scatter plot, the trend line has a negative slope (as x increases, y decreases), so its correlation coefficient should be negative. The bottom scatter plot has a positive slope (as x increases, y increases), so its correlation coefficient should be positive.

Step2: Match Coefficients

The given coefficients are \( r = 0.8 \) (positive) and \( r = -0.8 \) (negative). So the top plot (with negative slope) matches \( r = -0.8 \), and the bottom plot (with positive slope) matches \( r = 0.8 \).

Answer:

Top scatter plot: \( r = -0.8 \)
Bottom scatter plot: \( r = 0.8 \)