I'm trying to get my head around GLMs.

In order to setup the GLM we need a smooth invertible function of the mean which maps $η$ into the scale of the response. I don't really understand what the "scale of the response" is. Basically, we have a function $g$, such that $g(\mu)=\eta$ but what does this scale mean?

I feel like this is a pretty basic question and my guess would be that this is the range of values the response can take, but still want to be sure.

Thanks in advance!


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