In an interaction model, the relationship between $E ( y )$ and $x _ { 1 }$ is linear for each fixed value of $x _ { 2 }$ bu the slopes of the lines relating $E ( y )$ and $x _ { 1 }$ may be different for two different fixed values of $x _ { 2 }$.

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In an interaction model, the effect of one predictor variable on the response variable depends on the level of another predictor variable, leading to different slopes for different values of the interacting variable.

In an Interaction Model, the Relationship Between E(y)E ( y )E(y)

In an Interaction Model, the Relationship Between $E ( y )$