Show that arithmetic mean of regression coefficient is greater than the correlation coefficient

About Us

McqMate.com is an educational platform, Which is developed BY STUDENTS, FOR STUDENTS, The only objective of our platform is to assist fellow students in preparing for exams and in their Studies throughout their Academic career.

what we offer ?

» We provide you study material i.e. PDF's for offline use.
» We take free online Practice/Mock test for exam preparation.
» Each MCQ is open for further discussion on discussion page.
» All the services offered by McqMate are free.

Which of the regression coefficient is greater than the correlation coefficient?

If one regression coefficient is greater than unity, then others will be lesser than unity. Also, the arithmetic means (am) of both regression coefficients is equal to or greater than the coefficient of correlation.

Which statement is true about the arithmetic mean of two regression coefficients?

The arithmetic mean of regression coefficients is always the correlation.

What is the relationship between correlation coefficient and regression coefficients?

Correlation quantifies the strength of the linear relationship between a pair of variables, whereas regression expresses the relationship in the form of an equation.

What does a regression coefficient greater than 1 mean?

If it is larger than that, it means that one standard deviation change in the independent variable results in more than one standard deviation change in the dependent variable. Given that this is highly unlikely, I would check very carefully for model misspecification, e.g. multicollinearity. 8th Apr, 2016.