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:

To solve this problem, we analyze the scatter plots and their regression lines:

Step 1: Analyze \( r = 0 \)

A correlation coefficient \( r = 0 \) means no linear relationship. The second scatter plot’s vertical line (or a line with no slope) shows points with no linear trend (random scatter around a vertical line), so this matches \( r = 0 \).

Step 2: Analyze \( r = 0.5 \)

A correlation coefficient \( r = 0.5 \) means a moderate positive linear relationship. The first scatter plot’s line has a positive slope, and the points cluster somewhat around it (indicating a moderate positive trend), so this matches \( r = 0.5 \).

Answer:

• Scatter plot with the sloped line (first plot): \( r = 0.5 \)
• Scatter plot with the vertical line (second plot): \( r = 0 \)