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question 2 of 25 which of the following r - values represents the stron…

Question

question 2 of 25
which of the following r - values represents the strongest correlation?
a. 0.65
b. 0.45
c. 0.55
d. 0.75

Explanation:

Step1: Understand the concept of correlation coefficient

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

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

For \(r = 0.65\), \(|r|=0.65\); for \(r = 0.45\), \(|r| = 0.45\); for \(r=0.55\), \(|r|=0.55\); for \(r = 0.75\), \(|r|=0.75\).
Since \(0.75>0.65>0.55>0.45\)

Answer:

D. \(0.75\)