First, the return key is your friend. :)
First thing I would do is remove the base, reinsert the base screws so that they're sticking up out of the action. Using a metal yard stick, lay it flat so the thin edge is against the screws and then look to see if the yard stick stays on the centerline of the barrel as it extends towards the muzzle or if it strays off to one side of the other.
If it's straying off to the side you either have a warped action or the barrel is cocked slightly. The latter can usually be fixed by simply breaking the barrel nut loose and then resetting headspace and retightening the nut. If the action is warped (not near as likely on the newer guns, especially short-actions) it will need straightened to resolve the issue and being this is a new gun I'd return it to Savage under warranty rather than paying a gunsmith. If you do send it back, take the time to write a brief letter indicating what the specific issue is and what you have already done to verify it's an issue with the gun and not the ammo, shooter, mounts or scope.
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