Suppose the correlation, r, between two variables x and y is -0.44.What would you predict about a y value if the x value is 2 standard deviations above its mean?
A)It will be .88 standard deviations below its mean.
B)It will be .88 standard deviations above its mean.
C)It will be 2 standard deviations below its mean.
D)It will be .44 standard deviations below its mean.
E)It will be .44 standard deviations above its mean.

Question

Quizplus · Accepted Answer

The correlation coefficient, r, indicates the strength and direction of a linear relationship between two variables. A negative correlation (r = -0.44) means that as one variable increases, the other decreases. If x is 2 standard deviations above its mean, y would be 2 * -0.44 = -0.88 standard deviations from its mean, indicating it would decrease, hence option A is correct.

Suppose the Correlation, R, Between Two Variables X and Y