I'm doing a multiple linear regression with interacting variables. I'll give you an example:
y=value a1=material a2=weight a3=color
a1 and a2 are interacting variables but a3 is not. Right now I'm using something like:
y = a0 + a1x1 + a2x2 + a3x3 + a12x1x2
I'm pretty new to regression analysis so I wonder if there is any way to convert this formula to something like
y = a0 + a1x1 + a2x2 + a3x3
so I can see how much effect a1 and a2 have simply by looking at a1 and a2? What I want to do is to just be able to look at the equation and understand how much 1 kg of extra weight adds in value without needing to calculate y. Splitting up the interaction term a12 and distributing the effect over a1 and a2 if you guys understand what I mean. Maybe it's not possible or maybe there is a better regression method that is more suited for this, I don't know. I'd love to get some pointers from you guys.