PRC-2 · Chapter 8 · Question 21 of 60
If a constant value of 3 is systematically subtracted from every observation of variable Y, what will happen to the calculated correlation coefficient (r)?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) It will remain completely unchanged.
Explanation
The correlation coefficient (r) is independent of the change of origin, meaning adding or subtracting constants from the observations leaves it completely unchanged.
More Statistical Measures of Data MCQs
- Q23When is the arithmetic mean generally considered the most appropriate statistical measure?
- Q24What is the true mathematical relationship between the variance and the standard deviation?
- Q25A J-shaped statistical curve is essentially characterized by which of the following?
- Q26If the variance of a dataset is mathematically calculated to be exactly zero, what does this imply about the dataset?
- Q27If you multiply each observation of variable X by 100, what will happen to a correlation coefficient of 0.9?