PRC-2 · Chapter 10 · Question 59 of 60
If a set of data yields a flat regression equation of Y = 25 + 0X, what must be the mathematical value of the correlation coefficient (r)?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 0
Explanation
A calculated slope (b) of exactly 0 mathematically indicates that changes in X have absolutely no predictive effect on Y, resulting in a flat horizontal line. This strictly implies there is zero linear correlation (r = 0).
More Correlation and Regression MCQs
- Q1What is the primary function of a scatter diagram in statistical analysis?
- 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?
