Question

which of these r-values represents the weakest correlation?
a. 0.2
b. 0.4
c. 0.3
d. 0.1

Explanation:

Step1: Understand 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 given \(r\) values

For option A: \(|0.2| = 0.2\)
For option B: \(|0.4| = 0.4\)
For option C: \(|0.3| = 0.3\)
For option D: \(|0.1| = 0.1\)

Since \(0.1<0.2<0.3<0.4\)

Answer:

D. \(0.1\)