Question: In a regression analysis, suppose that we have three predictors - one factor-type predictorDwith 3 levels, another factor-type predictorEwith 2 levels, and a continuous predictorX.

In a regression analysis, suppose that we have three predictors - one factor-type predictorDwith 3 levels, another factor-type predictorEwith 2 levels, and a continuous predictorX.

Write the mean functions of the following regression models (please introduce proper notations):

Model1: YD+E+X
Model2:YD+E+X+D:X+E:X
Model3:YD+E+X+D:X+D:E:X

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