Question

match each correlation coefficient to the appropriate scatter plot.
r = 0
r = 0.5

Explanation:

Step1: Recall Correlation Coefficient Meaning

A correlation coefficient \( r = 0 \) means no linear relationship (points scattered randomly). \( r = 0.5 \) means a moderate positive linear relationship (points show a weak - to - moderate upward trend).

Step2: Analyze Left Scatter Plot

The left scatter plot has points that are very randomly scattered with no apparent upward or downward trend. So this plot corresponds to \( r = 0 \).

Step3: Analyze Right Scatter Plot

The right scatter plot has points that show a moderate upward trend (as \( x \) increases, \( y \) tends to increase, though not perfectly). So this plot corresponds to \( r = 0.5 \).

Answer:

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