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question 5 of 25 which of the following r-values represents the stronge…

Question

question 5 of 25
which of the following r-values represents the strongest correlation?
a. 0.45
b. 0.55
c. 0.75
d. 0.65

Explanation:

Step1: Understand the concept of correlation coefficient

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

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

For \(A\): \(\vert0.45\vert = 0.45\)
For \(B\): \(\vert0.55\vert=0.55\)
For \(C\): \(\vert0.75\vert = 0.75\)
For \(D\): \(\vert0.65\vert=0.65\)

Since \(0.75>0.65 > 0.55>0.45\)

Answer:

C. \(0.75\)