Based on trial responses that varied the amount of time between breaking and re-establishing line-of-sight, its purpose does not seem to be to attack but merely to startle.
However, it should be noted that the SCP has not yet shown any signs of active aggression or hostility. The relocation point and posture are typically close enough to induce an automatic fight-or-flight response in the observer once they turn around and see it. No noise is made during this relocation process, so the precise method of locomotion is as of yet unknown. If the statue is not being observed, it will relocate itself to a point immediately behind whomever is in the containment site and assume a threatening posture. Composition of the statue is currently undetermined materials testing has yielded inconclusive and contradictory results.
The default posture while under observation has the statue reaching upwards, head tilted as if facing the sky. The statue does not possess hands or facial features: the limbs taper off into rounded points and the head is a smooth surface all around. SCP-650 is a black statue of a stylized humanoid 167cm tall.