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The first step is to name the equations to make the process of solving them easy.
The second step is to multiply each of the equations by the coefficient of the x term in the other equation. In this case, we will multiply equation (1) by 5 to get equation (3) and then multiply equation (2) by 6 to get equation (4).
The next step is to add equation equation(3) and (4) together to get equation (5) as shown below;
The next step is to take the value of y and substitute it into any of the equations above. For this solution, I pick equation (1). The work done to solve for x is shown below.;
The solution for this system of equations is
Answer:
A) allows the population effect on log earnings of being married to depend on gender
Step-by-step explanation:
The regression equation of a dependent variable based on two or more independent variables is of the form:
Here,
<em>Y</em> = dependent variable
and
= independent variables
= interaction term
= regression coefficients.
If there is a significant interaction effect present then this implies that the effect of one independent variable ( or
) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable (
or
) .
The provided regression equation is:
= dependent variable
and
= independent variables
In this case the interaction term is defined as follows:
The effect of being married on log earnings is dependent on different values of the variables , i.e. the gender of the
person.
Thus, the correct option is (A).