Question

which r - value represents the most moderate correlation? -0.92 -0.18 0.56 0.83

Explanation:

Step1: Understand the concept of correlation coefficient

The correlation coefficient \(r\) ranges from \(- 1\) to \(1\). The closer \(|r|\) is to \(1\), the stronger the correlation. The closer \(|r|\) is to \(0\), the weaker the correlation. A moderate correlation has \(|r|\) in the middle range (neither too close to \(0\) nor too close to \(1\)).

Step2: Calculate the absolute values of the given \(r -\)values

For \(r=-0.92\), \(|r| = 0.92\).
For \(r=-0.18\), \(|r|=0.18\).
For \(r = 0.56\), \(|r|=0.56\).
For \(r = 0.83\), \(|r|=0.83\).

Step3: Compare the absolute values

Among \(0.92\), \(0.18\), \(0.56\) and \(0.83\), \(0.56\) is in the middle range (not too close to \(0\) or \(1\)).

Answer:

\(0.56\)