A quarterback draw in football is a play in which the quarterback is snapped the ball, usually in the shotgun or pistol formation, then they run the football down the field themselves. There is a slight delay before the run begins to trick the defense into thinking that the play will be a pass.
If an offense sets up the defense by running the play several times throughout the game the defense may elect to have a linebacker "spy" or guard the quarterback. By doing so the defense then has one less person in coverage, benefitting the offense.
The two characteristics that best determine a quarterback's success at the draw play are speed and size. Fast quarterbacks can out maneuver the big defensive linemen while bigger quarterbacks can run through would be tacklers. A combination of the two skills is rare but very effective in executing the play.
Michael Vick is sometimes considered to be more of a running back than a quarterback given his success rushing the ball. He is an elusive speedster that was a nightmare to defend during his career. Vick is the record holder for most rushing yards by a quarterback, most rushing yards by a quarterback in a season, and yards per carry amongst all positions.
Newton is a guy who combines speed, size, and strength. He currently owns records for most rushing touchdowns by a quarterback and most rushing touchdowns in a season by a quarterback. He is also closing in on and on pace to break Michael Vick's career rushing yards record.