which correlation coefficient represents the strongest downward trend in a data set?\na. -0.83\nb. -0.23\nc…

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient $r$ ranges from - 1 to 1. A negative $r$ indicates a downward - trend, and the closer $r$ is to - 1, the stronger the downward - trend.

Step2: Compare negative values

We have two negative values: $r_1=-0.83$ and $r_2 = - 0.23$. Since $|-0.83|=0.83$ and $|-0.23| = 0.23$, and $0.83>0.23$, $-0.83$ is closer to - 1 among the negative values. The positive values $0.12$ and $0.92$ represent upward trends.

Answer:

A. -0.83