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Image to Table JMP extension imports single or batch images as data tables. Useful to extract curves from pictures or convert image data to curve data to use in analyses like Functional Data Explorer. Download and install the extension.
See if this facility in JMP is helpful towards your goal. Click the red triangle at the top of the design platform before clicking the Make Table button and select Simulate Response. Now when you click Make Table, you get another window in addition to the data table. You can specify the parameter values associated with each efect and the random error variance. There is a button to update the response column in the data table after you change the parameter values.