Which of the following are properties of regression coefficients?
A. \(r = \sqrt{b_{yx} \times b_{xy}}\)
B. Change in origin are not affected
C. Change in scale are not affected
D. If both the regression coefficients have negative signs, the correlation coefficient will have a negative sign
E. If one regression coefficient is greater than one, then the other regression coefficient must be less than one.

Choose the correct answer from the options given below: