I know how to reproduce the profiler generated by Analyze>Fit Model using Graph>Profiler when the response is not transformed. In the attached .jmp file "Profiler Example.jmp", script #1 fits a linear regression to the example data with no transform. If I save the "Prediction Formula" and "StdErr Pred Formula" columns, I can reproduce the profiler from script #1 using Graph>Profiler, as show in script #2.
I fit a log transformed model in script #3. When I try to reproduce the profiler generated by script #3 using Graph>Profiler as before, the confidence intervals appear to be incorrect
I manually calculated the confidence intervals (see columns in table) produced in script #3 and #4 using the "Prediction Formula" and "StdErr Pred Formula" from script #3. It seems script #3 is doing something like this in the background: ":Pred Formula y 2 * Exp( t Quantile( 0.025, 2 ) * :"PredSE Log(y)"n )". Meanwhile script #4 for is doing something like this in the background: ":Pred Formula y 2 + t Quantile( 0.025, 2 ) * :"PredSE Log(y)"n".
Is there a way I can reproduce the profiler from script #3 using Graph>Profiler? Thanks!
Script #1 Profiler (Analyze>Fit Model, no y transform):
Script #2 Profiler (Graph>Profiler, no y transform)
Script #3 Profiler (Analyze>Fit Model, log y transform)
Script #4 Profiler (Graph>Profiler, log y transform)
