Question

which of the following r-values represents the strongest correlation?
a. -0.61
b. -0.71
c. -0.81
d. -0.91

Explanation:

Step1: Recall the concept of correlation coefficient

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

Step2: Calculate the absolute values

For option A: \(| - 0.61|=0.61\)
For option B: \(| - 0.71| = 0.71\)
For option C: \(| - 0.81|=0.81\)
For option D: \(| - 0.91|=0.91\)

Step3: Compare the absolute values

Since \(0.91>0.81 > 0.71>0.61\)

Answer:

D. - 0.91