Question

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

Explanation:

Step1: Calculate the absolute values

The absolute value of \(-0.75\) is \(| - 0.75|=0.75\).
The absolute value of \(-0.27\) is \(| - 0.27| = 0.27\).
The absolute value of \(0.11\) is \(|0.11|=0.11\).
The absolute value of \(0.54\) is \(|0.54| = 0.54\).

Step2: Compare the absolute values

We know that the closer the absolute value of the correlation coefficient \(r\) is to \(0\), the weaker the correlation.
Since \(0.11<0.27<0.54<0.75\).

Answer:

\(0.11\) (the third option)