PRC-2 · Chapter 10 · Question 6 of 60
If a researcher adds 3 to each observation of X, and subtracts 5 from each observation of Y, what happens to the original correlation coefficient of 0.85?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) It remains exactly 0.85.
Explanation
The correlation coefficient (r) is independent of the change of origin. Adding or subtracting constants to either variable X or Y leaves 'r' completely unchanged.
More Correlation and Regression MCQs
- Q8Given the mathematical data set: ∑x = 75, ∑y = 225, ∑xy = 2851, ∑x² = 625, and n = 6. If calculated, what does the resulting equation y =…
- Q9What does a correlation coefficient of exactly 0 imply about a scatter diagram?
- Q10In a simple linear regression equation represented as y = 39 - 0.12x, what does the value -0.12 represent?
- Q11Why is it important to remember that a high correlation coefficient does not prove causation?
- Q12If variable X represents advertising spend and variable Y represents sales revenue, what is the primary purpose of constructing a…
