For a given set of data the covariance between X and Y is .80. The standard deviation of X is 2.0, and the standard deviation of Y is 3.0. The resulting correlation is closest to
A) .00
B) .15
C) .80
D) -.30

Question

Quizplus · Accepted Answer

The formula for correlation is:
Correlation = Covariance / (Standard deviation of X * Standard deviation of Y)
Substituting the given values we get:
Correlation = 0.80 / (2.0 * 3.0) = 0.1333
The answer closest to this value is option B, 0.15. Therefore, the answer is B.

For a Given Set of Data the Covariance Between X