Log 19 -- 14 November 2025
Break Time!
Yesterday, I noticed a new connection point between two of my courses. They're both in STEM, so of course that's going to happen, but I wasn't expecting it here of all places.
In statistics, sometimes you want to see if one variable impacts another. The easiest way to do that is with a simple linear regression -- oddly complicated, but you get something like:
where β1 is your slope, or your change in y per increment in x. Whatever x and y are.
If you have, let's say, multiple x's, then you also will have multiple β's. That's gonna look like:
Extra complicated, yeah, whatever.
NOW. Vectors exist. The dot product exists. Theoretically, you could represent this as:
where the vectors Β and X are entirely made of the β's and x's from earlier.
... That's the checknote. Go home now.