I generated the 'Fit Model' code below by saving the script that JMP makes for you, and then added 'Residuals(1)':
NamesDefaultToHere(1);
dt = Open("$SAMPLE_DATA/Big Class.jmp");
dt << Fit Model(
Y( :height ),
Effects( :weight ),
Personality( "Standard Least Squares" ),
Emphasis( "Effect Leverage" ),
Run(
:height << {Summary of Fit( 1 ), Analysis of Variance( 1 ),
Parameter Estimates( 1 ), Plot Actual by Predicted( 1 ),
Plot Residual by Predicted( 1 ), Plot Studentized Residuals( 0 ),
Plot Effect Leverage( 1 ), Box Cox Y Transformation( 0 )},
Residuals( 1 )
)
);