Question

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.
r = 0
r = -0.5

Explanation:

Step1: Analyze \( r = 0 \)

A correlation coefficient \( r = 0 \) means no linear relationship. The left scatter plot has a horizontal regression line, and points are randomly scattered around it (no linear trend), so \( r = 0 \) matches the left plot.

Step2: Analyze \( r = -0.5 \)

A correlation coefficient \( r = -0.5 \) is negative (negative linear relationship) and moderate. The right scatter plot has a downward - sloping regression line, and points show a negative linear trend (moderate, as \( |r| = 0.5 \) is moderate), so \( r=-0.5 \) matches the right plot.

Answer:

• \( r = 0 \) matches the left scatter plot.
• \( r=-0.5 \) matches the right scatter plot.