Hi @Mananahi,

By 'Generalized Model' do you mean the Generalized Regression personality in Fit Model? I'll assume so for this answer, but if you're doing something else let me know.

Models such as this employ a link function, so your parameter estimates, as you noticed, are not in the original units of your variable. Here's a link to the statistical details for those response distributions, and here are the specific details for the beta:

There is a lot to unpack there, and my suggestion is to not work through the formulas yourself because there's an easier way in jmp. My go-to method to profile the response in the original units as a function of the input variables is the Prediction Profiler. You can access this under the Red Triangle for your model (next to Maximum Likelihood) then select Profilers > Profiler. This will append the Prediction Profiler to the report, which lets you interactively profile (click through) the response Y as a function of your inputs. What is reported along the left is the mean response given the inputs you select and the 95% confidence interval around that point estimate.

I hope this helps!

@julian