Question

question 9 of 10 which of these r - values represents the strongest correlation? a. -0.8 b. -0.6 c. -0.7 d. -0.9

Explanation:

Step1: Recall correlation - r value concept

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

Step2: Calculate absolute - values of given r values

For \(r=-0.8\), \(| - 0.8| = 0.8\); for \(r=-0.6\), \(| - 0.6| = 0.6\); for \(r=-0.7\), \(| - 0.7| = 0.7\); for \(r=-0.9\), \(| - 0.9| = 0.9\).

Step3: Compare absolute - values

We compare \(0.8\), \(0.6\), \(0.7\), and \(0.9\). Since \(0.9>0.8>0.7>0.6\), the \(r\) - value with the strongest correlation is the one with the largest absolute - value.

Answer:

D. -0.9