Question

It is possible that two regression have
A. Opposite signs
B. Same signs
C. No signs
D. difficult to tell

Answer 1

Hint: In this problem, we have to find whether it is possible that two regressions have any of the following signs. We should know that regression coefficient is the measure of the relationship between two or more variables. The regression coefficient is denoted by ‘b’. We can now see the sign of the regression coefficient.

Complete step by step answer:
Here we have to find whether it is possible that two regressions have any of the following signs.
We should know that regression coefficient is the measure of the relationship between two or more variables. The regression coefficient is denoted by ‘b’.
We should know that coefficients must have the same sign. i.e. both must be positive or both must be negative.

So, the correct answer is “Option B”.

Note: We should remember that the regression coefficient is nothing but the measure of relationship between two or more variables and it is represented by the variable ‘b’. We should remember that the coefficients of the regression will have the same signs, either both will be positive or both will be a negative term but it will not be in different signs like one positive and one negative. By using this sign variation, we can solve the problems based on this.