PRC-2 · Chapter 10 · Question 34 of 60
If a researcher adds 10 to every observation of variable X and multiplies every observation of variable Y by 5, what will logically happen to an original correlation coefficient of 0.65?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) It will remain completely unchanged at 0.65.
Explanation
The Pearson correlation coefficient is entirely independent of both the change of origin (adding/subtracting a constant) and the change of scale (multiplying/dividing by a constant).
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