Question

which of these r - values represents the weakest correlation?
a. 0.2
b. 0.5
c. 0.4
d. 0.3

Explanation:

Step1: Recall the concept of correlation coefficient

The correlation coefficient \(r\) ranges from \(- 1\) to \(1\). The closer \(|r|\) is to \(0\), the weaker the correlation.

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

For option A: \(|0.2|=0.2\)
For option B: \(|0.5| = 0.5\)
For option C: \(|0.4|=0.4\)
For option D: \(|0.3|=0.3\)

Step3: Identify the smallest absolute value

Since \(0.2<0.3<0.4<0.5\)

Answer:

A. \(0.2\)