Bill Quinn, who plays Dr. James Wyler in this episode, and was 'Eddie, the mailman', in several later episodes, was, in real life, Bob Newhart's father-in-law.
According to the show, Emily's IQ is 151 and Bob's is 129. A score of 116 or more is considered above average. A score of 130 or higher is considered a high IQ. Membership in Mensa, the High IQ society, includes people who score in the top 2 percent, which is usually 132 or higher. According to the Stanford-Binet Fifth Edition (SB5) classification, 140+ is considered Very gifted or highly advanced, 130-140 is Gifted or very advanced, and 120-129 is Superior.
Show writers Tom Patchett and Jay Tarses act in this episode. As for careers, Tarsas is an actor as well as writer and Patchett would continue producing TV shows.
Bob says, "Did you know Albert Einstein flunked math?" This is a popular notion, and completely false. Albert Einstein had always excelled at math. In an interview he did say he could have carried his theories further but he "lacked the math".