Hi @CerealGuy, welcome to the community!
The simulator in JMP has a tool called simulation experiment which was built for what I believe you are trying to accomplish here. The script below has comments which you should be able to follow, along with some exploration of the simulation menus to find the right commands (look in the red triangle next to Simulation inside the profiler). Is this the path you are looking for?
Names default to here(1);
// Open a sample data set and make a prediction for yield
dt = Open("$Sample_data/Ro.jmp");
fm = Fit Model(
Y( :Yield ),
Effects( :Aperture, :Ranging, :Cadence ),
Personality( "Standard Least Squares" ),
Emphasis( "Effect Leverage" ),
Run(
:Yield << {Summary of Fit( 1 ), Analysis of Variance( 1 ),
Parameter Estimates( 1 ), Lack of Fit( 0 ), Scaled Estimates( 0 ),
Plot Actual by Predicted( 1 ), Plot Regression( 0 ),
Plot Residual by Predicted( 1 ), Plot Studentized Residuals( 0 ),
Plot Effect Leverage( 1 ), Plot Residual by Normal Quantiles( 0 ),
Box Cox Y Transformation( 0 )}
)
);
fm << Prediction Formula;
// Use simulation in the profiler to estimate variation in yield at a single point
prf = Profiler(
Y( :Pred Formula Yield ),
Profiler(
1,
Term Value(
Aperture( 11.25, Lock( 0 ), Show( 1 ) ),
Ranging( 10, Lock( 0 ), Show( 1 ) ),
Cadence( 22.5, Lock( 0 ), Show( 1 ) )
),
Simulator(
1,
Factors(
Aperture << Random( Normal( 11.25, 2 ) ),
Ranging << Random( Normal( 10, 1 ) ),
Cadence << Random( Normal( 22.5, 4 ) )
),
Responses( Pred Formula Yield << No Noise )
)
)
);
// Do a simulation experiment to calculation variation in yield for
// different levels of your inputs. Note that you might need to
// adjust the ranges for different variables before this step using
// 'resent factor grid' to ensure you explore the relevant space.
dtSim = prf << Simulator( Simulation Experiment( 512, 1 ) );
dtSim << New Column( "Lowest Yield Expected",
Numeric,
"Continuous",
Format( "Best", 12 ),
Formula( :Pred Formula Yield Mean - 3 * :Pred Formula Yield SD )
);
// Graph results
dtSim << Graph Builder(
Size( 558, 552 ),
Show Control Panel( 0 ),
Variables(
X( :Aperture ),
Y( :Ranging ),
Wrap( :Cadence, Levels( 9 ) ),
Color( :Lowest Yield Expected )
),
Elements( Contour( X, Y, Legend( 9 ) ) )
);