If using Graph Builder there may not be necessary to change the data table. In JMP 11 it's possible to add local custom transforms directly in the Graph Builder control panel. To jitter X just right-click on the variable and select Formula..., enter an adequate transformation and and click Apply or OK to create the local variable (i.e. it can be used as a normal variable in Graph Builder but is not added to the data table). Drag both X's to the X-axis field and select points for the jittered transform and Line of Fit for the original X. Here's the JSL version applied to KarenB's example table: Graph Builder( Variables( X( : X ) , X( Transform Column( "Jittered X" , Formula( : X + Random Normal () * Col Std Dev ( : X ) / 20 ) ) , Position( 1 ) ) , Y( : Y ) ) , Elements( Line Of Fit( X( 1 ) , Y , Legend( 5 ) , Confidence of Fit( 1 ) , Degree( "Linear" ) , ) , Points( X( 2 ) , Y , Legend( 6 ) ) ) )
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