PRC-2 · Chapter 10 · Question 48 of 60
If a researcher adds a constant of 12 to every observation of variable X, and divides every observation of variable Y by 3, what will logically happen to an original correlation coefficient of 0.85?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) It will remain completely unchanged at 0.85.
Explanation
A fundamental property of the Pearson correlation coefficient is that it is completely independent of both the change of origin (adding/subtracting a constant) and the change of scale (multiplying/dividing by a positive constant).
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