It's established throughout that Data can't use contractions, but when Riker says "They were all sucked out into space." Data says "Correction, that's 'blown out'." He also says "I'm sure he meant now" when he goes to Tasha's quarters to escort her to Sick Bay. In the initial scene right after the hatch blows out, Data says "What we've just heard is... impossible."
At the beginning, Picard says in his log entry they're moving at Warp 7, but the exterior shot shows them moving at impulse speed.
Trivia: When Troi heads to Engineering, she refers to Riker as "Bill." This is the first time in the series anyone has called the second-in-command by that particular variation of his first name. Troi later calls him by it again in the episode "Haven."
When Riker grabbed Data to escort him to Engineering, they walked toward the Emergency Turbolift, which would take them directly to the Battle Bridge.
When the Enterprise pushed off the Tsiolkovsky with the tractor beam, the science vessel was behind Enterprise. However, in the previous exterior shot, the Enterprise was facing the Tsiolkovsky.
Yar asks for a "team" to help her in the Observation Lounge when she finds Geordi, yet only a single person shows up.
Why is Riker the only person who seems to be able to will himself to not feel the effects of the virus? He is able to function normally while no one else is able to.
Everybody seems surprised and astonished that Wesley can use a tractor beam to repel things, but they did it in the original Star Trek episode "Who Mourns for Adonis."
After the intoxicated Geordi wanders out of sickbay, the bed he was on continues to show his lifesigns.
When Geordi is put onto a bed in sickbay there are two pillows - when he gets up to leave a little later they have disappeared.
When Data brings up a picture of the original Kirk-era Enterprise in conjunction with the log talking about the water-intoxicant, the picture is of the refitted movie-style Enterprise - not the original round-nacelled model that was involved in the events of "The Naked Time."
Beverly: Yes, Jean Luc?
Picard: Now I've told you before, you will address me as captain.
Data: The vague reference of someone showering in their clothing is...
Riker: Yeah, it's like trying to find a needle in a haystack
Data: Commander, why would someone choose to waste their time in such a manner?
Wesley: So you mean I'm drunk! I feel strange... but also good!
Picard: Ah, good, Data. At least you're functioning.
Data: (in an odd tone) Fully, captain.
Picard: Data, intoxication is a human condition. Your brain is different. It's not the same as...
Data: We are more alike than unlike, my dear Captain. I have pores; humans have pores. I have... fingerprints. Humans have fingerprints. My chemical nutrients are like your blood.
Picard: Effective immediately, I have handed over control of this vessel to Acting Captain Wesley Crusher.
Picard: "Acting Captain"?!?
Wesley: Thank you, Captain Picard, thank you. And with that order dawns a brave new day for the Enterprise.
Picard: Number One, it seems our security chief has the equivalent of a snootful.
Data: Inquiry, sir. Snootful?
Picard: Forget it.
Troi: Sir, I think Tasha's been infected, too. She just left my quarters.
Picard: Counselor, it's not actually an infection.
Troi: Yes, sir. More like an intoxication. But whatever it is, she's got it.
Riker: You were right. Somebody blew out the hatch. They were all sucked out into space.
Data: Correction, sir. That's "blown out."
Riker: Thank you, Data.
Data: A common mistake, sir.
Yar: You are fully functional, aren't you?
Data: Of course, but...
Yar: How fully?
Data: In every way, of course. I am programmed in multiple techniques.
Data: There was a young lady from Venus, whose body was shaped like a...
Picard: Captain to security, come in!!
Data: Did I said something wrong?
Worf: I don't understand their humor either.
Crusher: My dear Captain, you owe me something. You do realize that, don't you? I'm a woman. I haven't had the comfort of a husband, a man...
Picard: Not now, doctor. Please.
Data: If you prick me, do I not leak?
Deanna Troi's clothing has changed from the blue skirt-type uniform she wore in "Encounter at Farpoint," to a dark grey jumpsuit that she would wear for the remainder of the first season.
The limerick that Data quotes, was written by Star Trek writer David Gerrold. The complete version of the limerick can be found in the third book of his War Against the Chtorr series: A Rage for Revenge.
During the scan of the records, we see a parrot wearing a Starfleet shirt, complete with insignia and nacelles; a reference to Gene Roddenberry, known among fans as "The Great Bird Of The Galaxy."
This is the only appearance of Lt. Cmdr. Sarah MacDougal as Chief Engineer. After this episode, Lt. Cmdr. Argyle would be Chief Engineer, followed by Lt. Logan. Geordi took over the position when the second season commenced.
This is the first time Captain Kirk is referenced by name in the series.
D.C. Fontana used her pseudonym J. Michael Bingham on this episode because she was relatively unhappy with Gene Roddenberry's additions to the shooting script.
Shakespeare's The Merchant of Venice
Data's line "If you prick me, do I not . . . leak?" is an obvious play on the famous line from Shakespeare's The Merchant of Venice: "If you prick us, do we not bleed?"