As a police officer who has been involved in an on duty shooting, the suspect was killed, my best advice is to make a VERY brief, concise statement as to what took place and then have a really large cup of shut the F*** Up! Not making further statements until legal representation is available does nothing to change the facts or evidence as to what happened. I can assure you that your state of mind will be more like an out of body experience. During this time you are fully capable of making statements that can come back to haunt you later. Allowing yourself to be questioned by police during this time is not a wise decision.