For a study I've recently designed, I'd like to assess whether four continuous variables (M1-M4) moderate the impact of five continuous independent variables (X1-X5) on one continuous dependent variable (Y).
What would be the be best way to perform the data analysis?
Do I simply need to create interaction terms for the supposed predictors and moderators, enter all of these into a really long regression equation, and see which are significant? In other words, would my overall regression equation be:
Y = β1X1 + β2X2 + β3X3 + β4X4 + β5X5 + β6M1 + β7M2 + β8M3 + β9M4 + β10X1M1 + β11X2M1 + β12X3M1 + β13X4M1 + β14X5M1 + β15X1M2 + β16X2M2 + β17X3M2 + β18X4M2 + β19X5M2 + β20X1M3 + β21X2M3 + β22X3M3 + β23X4M3 + β24X5M3 + β25X1M4 + β26X2M4 + β27X3M4 + β28X4M4 + β29X5M4 + C + e
If so, what would be the proper procedure for interpreting the output and performing any follow-up analyses? Any and all advice greatly appreciated