If the standard deviation of X is doubled while the standard deviation of Y and the correlation remain unchanged, the regression coefficient of Y on X will:
Correct answer: A. Become half its former value
- A. Become half its former value
- B. Double in value
- C. Remain exactly unchanged
- D. Change its sign
Explanation
The coefficient is b_yx = r(s_y/s_x). Doubling s_x while keeping r and s_y fixed divides the coefficient by two, without changing its sign.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Correlation and Regression
Correlation describes the direction and strength of association between two variables using scatter diagrams and correlation coefficients. Regression covers fitted lines, regression equations, prediction and least squares, with a clear distinction between association and causation and between estimating a response value and reversing the roles of the variables.
Practise Correlation and Regression
30 free Correlation and Regression MCQs from Quantitative Methods, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Quantitative Methods questions like this
Quantitative Methods is on this paper prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for it.
More Correlation and Regression questions
If the regression coefficients are b_yx = 0.5 and b_xy = 0.72, the correlation coefficient is:
A regression equation used to predict X from Y is known as the regression equation of:
Which feature makes Pearson correlation particularly vulnerable to the effect of an extreme observation?
Which measure of correlation is most suitable when data are recorded as ranks rather than precise numerical values?
If every value of X is multiplied by 5 and every value of Y is multiplied by 2, the correlation coefficient will:
A correlation coefficient close to zero can still occur when two variables have: