Question

from unit 3, lesson 7
the correlation coefficient, r, is given for several different data sets. which value for r
indicates the weakest correlation?
a 0.01
b 0.5
c -0.99
d 1

Explanation:

Step1: Recall the property of correlation coefficient

The strength of the correlation is determined by the absolute value of \(r\), \(|r|\). The closer \(|r|\) is to \(0\), the weaker the correlation.

Step2: Calculate the absolute values

For option A: \(|0.01| = 0.01\)
For option B: \(|0.5| = 0.5\)
For option C: \(|- 0.99|=0.99\)
For option D: \(|1| = 1\)

Step3: Compare the absolute values

Since \(0.01<0.5<0.99 < 1\)

Answer:

A. \(0.01\)