Character mistake: Ben Stein asks a chemistry question about -273° Kelvin. The problem is, the scientific community never uses the word 'degrees' when referring to Kelvin. The correct way to say it would have been, "-273 Kelvin is also known as what?" Also Kelvin cannot be negative since 0 kelvin (approx -273° Celsius) is absolute zero.
Character mistake: When Peggy is meeting Lucky's sister at Luanne's baby shower, she mentions that she lives across the street. However, the baby shower is taking place at Peggy's house, as evidenced by the layout of the house and the wallpaper.