Question

practice analyzing correlations. which correlation coefficient represents a moderate negative correlation? r = - 0.04 r = - 0.24 r = - 0.64 r = - 0.94

Explanation:

Step1: Recall the strength of correlation coefficients

The closer the absolute value of \(r\) is to \(1\), the stronger the correlation. Values close to \(0\) indicate weak correlation. Negative \(r\) values indicate negative correlation.

Step2: Analyze each option

• For \(r = - 0.04\), \(|r|=0.04\) which is very close to \(0\), so it is a very weak negative correlation.
• For \(r=-0.24\), \(|r| = 0.24\) which is a weak negative correlation.
• For \(r=-0.64\), \(|r|=0.64\). Since \(0.5<|r|<0.8\), it represents a moderate negative correlation.
• For \(r=-0.94\), \(|r| = 0.94\) which is a strong negative correlation.

Answer:

\(r=-0.64\)