Question

which correlation coefficient represents a moderate negative correlation?
$r = - 0.04$
$r = - 0.24$
$r = - 0.64$
$r = - 0.94$

Explanation:

Step1: Recall correlation coefficient ranges

The correlation coefficient \( r \) ranges from \(- 1\) to \(1\). A value close to \(-1\) is a strong negative correlation, close to \(0\) is a weak correlation. Moderate negative correlation has \(|r|\) in the range \(0.5 - 0.75\).

Step2: Check each option

• For \(r=-0.04\), \(|r| = 0.04\) (weak).
• For \(r = - 0.24\), \(|r|=0.24\) (weak).
• For \(r=-0.64\), \(|r| = 0.64\) (moderate as \(0.5<0.64<0.75\)).
• For \(r=-0.94\), \(|r|=0.94\) (strong).

Answer:

\(r = - 0.64\)