Question

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

Explanation:

Step1: Recall 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 range \(0.3<|r|<0.7\).

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

For \(r=-0.92\), \(|r| = 0.92\) (strong correlation as \(|r|\approx1\)).
For \(r=-0.18\), \(|r|=0.18\) (weak correlation as \(|r|\approx0\)).
For \(r = 0.56\), \(|r|=0.56\) (since \(0.3<0.56<0.7\)).
For \(r = 0.83\), \(|r|=0.83\) (strong correlation as \(|r|\approx1\)).

Answer:

\(0.56\)