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

Calculate the absolute value of each given \(r\) - value:
For \(r=-0.75\), \(| - 0.75| = 0.75\);
For \(r=-0.27\), \(| - 0.27| = 0.27\);
For \(r = 0.11\), \(|0.11|=0.11\);
For \(r = 0.54\), \(|0.54| = 0.54\).

Step3: Compare absolute values

Compare the absolute values: \(0.11<0.27<0.54<0.75\).

Answer:

0.11