Question

match each correlation coefficient to the appropriate scatter plot.
r = -0.1
r = -0.9

Explanation:

Step1: Understand Correlation Coefficients

The correlation coefficient \( r \) ranges from -1 to 1. A value close to -1 or 1 indicates a strong linear relationship, while a value close to 0 indicates a weak relationship. Negative \( r \) means a negative (downward) linear trend.

Step2: Analyze \( r = -0.1 \)

A correlation coefficient of \( r = -0.1 \) is close to 0, so the scatter plot should have points with a very weak negative trend (little to no clear linear pattern). The left scatter plot has points that are more scattered with a very weak negative trend.

Step3: Analyze \( r = -0.9 \)

A correlation coefficient of \( r = -0.9 \) is close to -1, indicating a strong negative linear relationship. The right scatter plot has points that follow a clear downward linear trend, showing a strong negative correlation.

Answer:

• \( r = -0.1 \) matches the Left Scatter Plot.
• \( r = -0.9 \) matches the Right Scatter Plot.