Question

1. which correlation coefficient does not belong with the other three? explain your reasoning.

r = -0.98
r = 0.96
r = -0.09
r = 0.97

Explanation:

Step1: Recall correlation coefficient meaning

Correlation coefficient \( r \) measures linear relationship strength. Values near \( \pm1 \) show strong linear relationships, near 0 show weak.

Step2: Analyze each \( r \)

• \( r = -0.98 \): Strong negative linear relationship (close to -1).
• \( r = 0.96 \): Strong positive linear relationship (close to 1).
• \( r = -0.09 \): Weak negative linear relationship (close to 0).
• \( r = 0.97 \): Strong positive linear relationship (close to 1).

Step3: Identify the odd one

\( r = -0.09 \) is weak, others are strong.

Answer:

\( r = -0.09 \) (because it represents a weak linear relationship, while the other three (\( r = -0.98 \), \( r = 0.96 \), \( r = 0.97 \)) represent strong linear relationships)