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Question 34/86

The values of two different variables are related to each other such that an increase in the value of the first variable is accompanied by a decrease in the value of the second variable. If the variables are perfectly correlated, their correlation coefficient will be equal to

A. 2.0

B. 1.0

C. 0.0

D. -1.0

Correct Answer: D

The correlation coefficient measures the strength and direction of a linear relationship between two variables.
A correlation coefficient of -1.0 indicates a perfect negative correlation, meaning that as one variable increases, the other decreases.
References:
* Moore, D.S., McCabe, G.P., & Craig, B.A. (2017). Introduction to the Practice of Statistics. W.H.
Freeman.
* Montgomery, D.C. (2009). Introduction to Statistical Quality Control. Wiley.

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