Stuck.

Go in there.
No.

Chris, this isn't a request, when the alternative is you sitting around doing nothing, you better believe the right thing to do would be to go in there and to the least introduce yourself to the guest.
I don't wanna. Besides it won't just be an introduction. I'll have to hang around and watch stupid youtube videos.

You make that sound like it's a bad thing.
It's more the having to fake emotions part.

Is that necessary?
What? Go in there with a mopey face without a clear indication on what's actually wrong?

Well maybe you wouldn't be so mopey if you joined the people who sound like they're having a great time.
...but... I don't want to..

Christopher.
Oh no, my first name in full.

Weigh up your options here; you can sit in your room, slowly becoming more annoyed at your computer's inability to run battlefield 4 at a standard fps.
OR - and stick with me on this one.....
You just realized after 5 minutes of sitting on that couch even you would want to leave.

.....I....
....out of the two options which is better?
Neither.

So you're better off sitting in your room?
No. I need to eat, but I don't want to cook in front of them and let my brain rack about what they think about me not joining in on either the activities or conversation. I might go get take away.

How is that any better?
Either way; whether in front of them or in another room, they have already acknowledged that you are here, and have chosen not to participate.
But it's more rude if I'm just standing there nearby doing my own cooking...

You're worried about being rude? Little late for that ship. Sailed about 3 months ago dude.
I'll work on my own social connections soon enough.

Well you really should be out there.
You watch a random stream of videos all compromising of 7 second clips that require the attention span of a duck.

.... just work on something.