Question

Use the following multiple regression equationYi= 30 - 6X4, + 9X21a. Interpret the meaning of the slopesb. Interpret the meaning of the Y intercepta. Interpret the meaning of the slopes.For each one-unit increase in X, Y willunits, holding constantan estimated units, holdingconstant. For each one-unit increase in X2, Y willan estimated

Answer 1

We are given a multiple regression equation:

$Y=30-6X_{1i}+9X_{2i}$

The slopes of the regression equation are:

-6 for the variable X1

9 for the variable X2

An interpretation of the slope is:

For each one-unit increase in X1, Y will decrease by 6 units holding X2 constant. For each one-unit increase in X2, Y will increase by 9 units, holding X1 constant.

An interpretation of the intercept is:

The expected mean value of the Y when all X equals zero is 30 units.