Suppose You Compute the Correlation Coefficient Between Two Variables, X

question 50

Multiple Choice

Suppose you compute the correlation coefficient between two variables, X and Y, and obtain a value of 0.55.Then you realize that all the values for both variables have been corrupted in a way that their actual sign has been changed (positive values were turned into negative values and vice versa; only the signs have been changed) .Then the actual, corrected value of the correlation coefficient ______.

• A)is −0.55
• B)remains unchanged
• C)changes but there is not enough information to determine the correct value
• D)is 0
• E)is 0.50

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Definitions:

Standard Normal

A type of normal distribution with a mean of 0 and a standard deviation of 1.

Area

In mathematics, the extent of a two-dimensional surface within a boundary, measured in square units.

Probability Density

A function that describes the relative likelihood for a continuous random variable to occur at a specific point.

Normally Distributed

A statistical distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.