Question

which r - value represents the weakest correlation?
-0.75
-0.27
0.11
0.54

Explanation:

Step1: Recall correlation - r - value concept

The strength of a correlation is determined by the absolute value of the correlation coefficient \(r\). The closer \(|r|\) is to 0, the weaker the correlation.

Step2: Calculate absolute values

For \(r=- 0.75\), \(|r| = |-0.75|=0.75\); for \(r = - 0.27\), \(|r|=|-0.27| = 0.27\); for \(r=0.11\), \(|r|=|0.11| = 0.11\); for \(r = 0.54\), \(|r|=|0.54|=0.54\).

Step3: Compare absolute values

We compare \(0.75\), \(0.27\), \(0.11\) and \(0.54\). Since \(0.11<0.27<0.54<0.75\), the \(r - value\) with the weakest correlation is \(0.11\).

Answer:

0.11