Character mistake: In their meeting, Gavin Elster tells Scotty that the speedometer on Madeleine's car showed she'd driven 53 miles.
Continuity mistake: In the scene In the McKittrick hotel, the manager tells Scotty Madeleine often stops by but hadn't been by today. Incredulous, he insists on seeing her room but finds that she has disappeared. One shot shows her door left open and another shows it closed.
Suggested correction: A couple things. Scotty tells the manager to go look in the room while he waits downstairs. She goes up, then calls down to him and asks if he wants to see the room. As they walk down the hall, the door to Madeleine's room is closed. The manager opens it, and she and Scotty go inside. The door was always closed until they went in. The lighting on the door in the first shot of it makes it appear much lighter in color, giving the impression that it was open and the interior is being seen, but it is closed.