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. Moderate correlation has \(|r|\) in the range \(0.3<|r|<0.7\)

Step2: Calculate the absolute 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: Check the range

\(0.18<0.3\), \(0.3 < 0.56<0.7\), \(0.83>0.7\), \(0.92>0.7\)

Answer:

\(0.56\)