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 \(r\)

The correlation coefficient \(r\) ranges from \(- 1\) to \(1\). A negative \(r\) - value indicates a negative correlation. The closer \(|r|\) is to \(1\), the stronger the correlation.

Step2: Calculate the absolute values of the given \(r\) - values

For \(r=-0.7\), \(|r| = 0.7\).
For \(r=-0.22\), \(|r|=0.22\).
For \(r = 0.38\), \(|r|=0.38\) (this is a positive correlation, so we are not interested in it for a negative correlation comparison).
For \(r = 0.9\), \(|r|=0.9\) (this is a positive correlation, so we are not interested in it for a negative correlation comparison).
Since we are looking for the strongest negative correlation (negative \(r\) - value with the largest absolute value among negative \(r\) - values), and \(0.7>0.22\).

Answer:

\(-0.7\)