Factual error: When Donna and Randy are in Eric's bedroom, Randy is playing with Eric's toy lightsaber. However, the blade is green. No green lightsaber toys were produced until after the release of "Return of the Jedi", which occurred in 1983. Moreover, the handle is the modern style, not the vintage.
Factual error: Fez wears a Sergio Valente pullover, which is a company not founded until 1981. (00:02:20)
Answer: It's Ashton Kutcher's dog.