Question

which r - value represents the strongest negative correlation? - 0.7 - 0.22 0.38 0.9

Explanation:

Step1: Recall the property of correlation coefficient

The correlation coefficient \(r\) ranges from \(- 1\) to \(1\). The closer \(|r|\) is to \(1\), the stronger the correlation. For negative correlation, \(r<0\).

Step2: Compare the absolute values of the negative \(r -\)values

For \(r=-0.7\), \(|r| = 0.7\). For \(r=-0.22\), \(|r|=0.22\). Since \(0.7>0.22\) and the other values \(r = 0.38\) and \(r = 0.9\) are positive (so they do not represent negative correlation).

Answer:

\(-0.7\)