Question

If one regression coefficient is less than minus one, then other will he:
A) More than one
B) Equal to minus one
C) Equal to one
D) More than minus one​

Answer 1

If one regression coefficient is less than minus one, then other will he:

More than minus one.

The option d is the correct answer.

Answer 2

If one regression coefficient is less than minus one, then the other will be d) more than minus one.

Explanation:

• If one regression coefficient is greater than unity, then the other must be less than unity but not vice-versa.
• If both the regression coefficients can be less than unity but both cannot be greater than unity, ie. if-then$b1>1$ then$b2<1$ and if$b2>1$, then$b1<1$.
• Aso if one regression coefficient is positive the other must be positive and if one regression coefficient is negative the other must be negative.
• Regression coefficients are independent of change of origin but not of scale.