Question

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.
r = 0.3
r = 0.9

Explanation:

Step1: Recall correlation coefficient meaning

The correlation coefficient \( r \) measures the strength and direction of a linear relationship between two variables. A value closer to \( 1 \) (or \( -1 \)) indicates a stronger linear relationship, while a value closer to \( 0 \) indicates a weaker linear relationship.

Step2: Analyze the scatter plots

• The left scatter plot: The points are closer to the regression line, indicating a stronger linear relationship. So this should correspond to \( r = 0.9 \) (since \( 0.9 \) is closer to \( 1 \), indicating a strong positive linear relationship).
• The right scatter plot: The points are more spread out from the regression line, indicating a weaker linear relationship. So this should correspond to \( r = 0.3 \) (since \( 0.3 \) is closer to \( 0 \), indicating a weak positive linear relationship).

Answer:

Left scatter plot: \( r = 0.9 \)
Right scatter plot: \( r = 0.3 \)