In Ghostbusters the Deleted Scene: Dana Peter Venkman is hitting on Dana Barrett further and saying that maybe he should stay the night there at Dana's apartment. Dana wasn't too happy with the possible idea.
Frustrated, Dana Barrett walks into the living room and sits on her couch. Peter follows and reassures her is a qualified psychologist. He claims to believe that something happened and wants to do something about it. Dana gets up. She states while she is a classical musician, she knows he doesn't believe and just came to check her out. Peter gets up and reiterates he's the chairman of Ghostbusters and wants to help. Dana asks if he's serious. Peter is willing to stake his reputation on it. Dana turns to him and asks what he wants to do. Peter replies he should stay the night. Dana tells him to get out and escorts him to the door.