1. In a typical multiple regression, we interpret each variable by holding the o

Question

1. In a typical multiple regression, we interpret each variable by holding the others constant. In the regression below, why could we not do that?

Ypred = 1X1 + 2X2 + 3X1X2

2. Jordan wants to run a regression model that includes a categorical IV (with 3 groups), a continuous IV, and the interaction between them. How many interaction terms will Jordan have in his regression between his dummy coded categorical independent variable and continuous independent variable?

3. Sally conducts a mediation analysis where X1 is used to predict the DV directly, and X1 predicts X2, which then predicts the DV. What kind of mediation is it if X1 remains a significant predictor the DV directly, but its effect is diminished?

4. In an equation where your independent variables have been standardized (X1, X2 and their interaction), will there be an intercept if the dependent variable has not been standardized?

Explanation / Answer

Question 1:

We cannot do this here because there is an interaction term as well which is the last term which basically represents the effect on dependent variable due to the combined changes in the 2 independent variable. Here the value of one indepedent variable also depends on the other indepedent variable and therefore the combined changes in both the variables has a different effect on the dependent variable.

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