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question 37 of 40 which of the following r - values represents the stro…

Question

question 37 of 40 which of the following r - values represents the strongest correlation? a. - 0.81 b. - 0.71 c. - 0.51 d. - 0.61

Explanation:

Step1: Recall the rule for correlation coefficient

The strength of a correlation is determined by the absolute value of the \(r -\)value (\(\vert r\vert\)). The closer \(\vert r\vert\) is to \(1\), the stronger the correlation.

Step2: Calculate the absolute values

For option A: \(\vert - 0.81\vert=0.81\)
For option B: \(\vert - 0.71\vert = 0.71\)
For option C: \(\vert - 0.51\vert=0.51\)
For option D: \(\vert - 0.61\vert=0.61\)

Step3: Compare the absolute values

Since \(0.81>0.71>0.61>0.51\)

Answer:

A. \(-0.81\)