Question

question 15
which of the following represents a strong negative correlation?
-0.2
+0.9
-0.9
+0.2

Explanation:

Step1: Understand correlation values

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

Step2: Analyze each option

• Option 1: \(r=-0.2\) is a weak negative correlation as \(| - 0.2| = 0.2\) is far from 1.
• Option 2: \(r = + 0.9\) is a strong positive correlation.
• Option 3: \(r=-0.9\) is a strong negative correlation since \(| - 0.9| = 0.9\) is close to 1 and the sign is negative.
• Option 4: \(r = + 0.2\) is a weak positive correlation.

Answer:

-0.9