Multiple linear regression with interactionI'm doing a multiple linear regression with interacting variables. I'll give you an example: y=value, x 1 =material, x 2 =weight, x 3 =color x 1 and x 2 are interacting variables but x 3 is not. Right now I'm using something like: y = a 0 + a 1 x 1 + a 2 x 2 + a 3 x 3 + a 12 x 1 x 2 + uI'm pretty new to regression analysis so I wonder if there is any way to convert this formula to something like y = a 0 + a 1 x 1 + a 2 x 2 + a 3 x 3 + uso I can see how much effect x 1 and x 2 have simply by looking at a 1 and a 2 ? 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 a 12 and distributing the effect over a 1 and a 2 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.Thanks.

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Multiple linear regression with interactionI&#039;m doing a multiple linear regression with interacting variables. I&#039;ll give you an example:  y=value,       x    1  =material,       x    2  =weight,       x    3  =color      x    1   and       x    2   are interacting variables but       x    3   is not. Right now I&#039;m using something like:  y  =      a    0    +      a    1        x    1    +      a    2        x    2    +      a    3        x    3    +      a          12            x    1        x    2    +  uI&#039;m pretty new to regression analysis so I wonder if there is any way to convert this formula to something like  y  =      a    0    +      a    1        x    1    +      a    2        x    2    +      a    3        x    3    +  uso I can see how much effect       x    1   and       x    2   have simply by looking at       a    1   and       a    2  ? 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       a          12       and distributing the effect over       a    1   and       a    2   if you guys understand what I mean. Maybe it&#039;s not possible or maybe there is a better regression method that is more suited for this, I don&#039;t know. I&#039;d love to get some pointers from you guys.Thanks.

Angel Burton · Accepted Answer

The effect of       x    1   depends on the value of       x    2  . For a particular value of       x    2  , the effect of       x    1   is            ∂      y              ∂              x        1              =      a    1    +      a          12            x    2

Multiple linear regression with interaction y=value, x_1=material, x_2=weight, x_3=color

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