PRC-2 · Chapter 10 · Question 60 of 60
If the slope 'b' in a calculated regression equation is a negative number, what must inherently be true about the correlation coefficient 'r'?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) It must also be negative.
Explanation
The mathematical sign of the regression slope (b) and the correlation coefficient (r) must always strictly match. If the line slopes downward (negative b), it inherently reflects an inverse relationship (negative r).
More Correlation and Regression MCQs
- Q2What is the mathematically defined range for the value of the correlation coefficient (r)?
- Q3If the correlation coefficient (r) between two variables is 0.9, and a constant value of 3 is subtracted from each observation of variable…
- Q4If the correlation coefficient (r) is 0.9, and each observation of variable X is multiplied by a constant factor of 100, what is the new…
- Q5Under which mathematical condition is the correlation between two variables considered to be at its strongest?
- Q6If a researcher adds 3 to each observation of X, and subtracts 5 from each observation of Y, what happens to the original correlation…
