Question

Which r-value suggests a strong negative correlation?

A. r= 0.1859
O B.
B. r=-0.1859
O C. r= 0.9874
O D. r=-0.9874

Answer 1

`\boxed {\boxed {\sf D. \ r= -0.9874}}`

Explanation:

The correlation coefficient is a number between -1 and 1. It tells us the strength of the linear association and the direction.

We want to find the r-value indicating a strong negative correlation. A negative number indicates a negative correlation. Therefore, choices A and C can be eliminated, because they are positive numbers.

Now we are left with B (-0.1859) and D (-0.9874). The closer the r-value is to -1/1, the stronger the correlation. -0.9874 is much closer to -1 than -0.1859, so choice D is the stronger correlation.