Question

Which value of a correlation coefficient represents the strongest relationship between the two variables in a given linear regression model?
a) -0.94
b) 0
c) 0.5
d) 0.91

Answer 1

Answer:  a) -0.94

Explanation:

The closer r gets to +1 or -1, the stronger the linear relationship will be.

If r is really close to +1, then we have a strong positive linear relationship. If r is close to -1, then we have a strong negative linear relationship.

Of the four choices given, we see that r = -0.94 is the closest to either endpoint mentioned. The next closest is r = 0.91

Put another way, we're looking for the r value that is furthest way from 0, but also that makes the inequality $-1 \le r \le 1$ true. Choice A fits that description best.