Question

choose all values of the correlation coefficient, r, that indicate a strong, but not perfect, linear association between two variables.
a. r = -0.85
b. r = -0.10
c. r = 0.15
d. r = 0.90
e. r = 1.00

Explanation:

Step1: Recall correlation - coefficient range

The correlation coefficient \(r\) ranges from - 1 to 1. Values close to - 1 or 1 indicate a strong linear association. A value of 1 or - 1 is a perfect linear association.

Step2: Evaluate each option

• Option A: \(r=-0.85\) is close to - 1, indicating a strong negative linear association and not a perfect one.
• Option B: \(r = - 0.10\) is close to 0, indicating a weak linear association.
• Option C: \(r=0.15\) is close to 0, indicating a weak linear association.
• Option D: \(r = 0.90\) is close to 1, indicating a strong positive linear association and not a perfect one.
• Option E: \(r = 1.00\) is a perfect positive linear association.

Answer:

A. \(r=-0.85\), D. \(r = 0.90\)