Use your calipers to measure the exact size of the drill bit you used to drill the hole. If you don't own calipers (eventually you'll need them), take an adjustable wrench and set it to the exact size of the drill bit that you used.
Then, take an oak or maple dowel (cheap at the local hardware store) and turn it to the exact measurement indicated on the adjustable wrench or calipers. Turn the dowel until the fit in the hole is exact. The reason that it is preferred to use a manufactured dowel rather that "scrap" wood in the shop is that the dowel is made from kiln dried hard wood. There is no telling how moist or oily scrap wood may be.
Once you have milled and sanded the dowel to an exact fit for the hole, put a thin coat of warm water on the dowel and glue it into place with polyurethane glue (Gorrilla Glue). In applications such as this, CA glue tends to break loose when redrilling, and epoxy glue doesn't work as well the the expanding foam glues.
Unless there is a HUGE difference in the hole you meant to drill and the hole you did drill, this technique will hold and do well for years. DAMHIKT