Question

which correlation coefficient represents the strongest downward trend in a data set?
a -0.83
b -0.23
c 0.12
d 0.92

Explanation:

Step1: Understand the nature of correlation coefficient

The correlation coefficient \(r\) ranges from \(- 1\) to \(1\). A negative \(r\) indicates a downward (negative) trend.

Step2: Compare the magnitudes of negative values

We have two negative values: for \(r=-0.83\), \(\vert r\vert = 0.83\); for \(r =-0.23\), \(\vert r\vert=0.23\). Since \(0.83>0.23\).

Answer:

A. \(-0.83\)