You could probably start with recording all of your mouse movements over a period of a month or so. Record speed, acceleration, how straight each move is, how much each move deviates from a straight line, how many times the mouse movement stops along its way to its target, where you place the mouse when you scroll, etc.

Using these metrics you could probably start to draw some characteristics of how your mouse acts based on what you are doing and where you are moving your mouse.

This could then probably be used to build some form of algorithm that moves the mouse for you with noise (accelerating up & down along the way, deviation from a straight line, stopping in the middle of the line, etc.).