Question

match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.
r = 0.2
r = 0.9
work it out!
not feeling ready yet? these can help!

Explanation:

Step1: Recall Correlation Coefficient

The correlation coefficient \( r \) measures the strength of linear association. \( |r| \) close to 1 means strong linear fit; close to 0 means weak.

Step2: Analyze Top Scatter Plot

Top plot: Points are more scattered around the line. So \( r \) should be closer to 0.2 (weaker linear relationship).

Step3: Analyze Bottom Scatter Plot

Bottom plot: Points are closer to the line, so \( r \) should be closer to 0.9 (stronger linear relationship).

Answer:

Top plot: \( r = 0.2 \); Bottom plot: \( r = 0.9 \) (or match the lines to \( r \) values based on scatter tightness)