Question

which r - value represents the strongest correlation?
-0.83
-0.67
0.48
0.79

Explanation:

Step1: Calculate absolute values

The correlation coefficient \(r\) ranges from \(- 1\) to \(1\). The strength of the correlation is determined by the absolute value of \(r\), \(|r|\).
For \(r=-0.83\), \(|r| = |-0.83|=0.83\).
For \(r = - 0.67\), \(|r|=|-0.67| = 0.67\).
For \(r=0.48\), \(|r|=|0.48| = 0.48\).
For \(r = 0.79\), \(|r|=|0.79|=0.79\).

Step2: Compare absolute values

Compare \(0.83\), \(0.67\), \(0.48\) and \(0.79\).
Since \(0.83>0.79>0.67>0.48\).

Answer:

\(-0.83\)