/sci/ - Science & Math

>>15192938
My bad, I'm phonefagging and can't delete. That should read this
>>15177122
Okay I have a question about what a statistical model is. Here is the wikipedia
https://en.wikipedia.org/wiki/Statistical_model
So it defines a statistical model as a pair [math] (S,\mathcal{P})[/math] where [math]S[/math] is the set of possible observations and [math]\mathcal{P}[/math] is a set of probability distributions on [math]S[/math]. So if one were to apply this to a simple linear model, what does [math]\mathcal{P}[/math] consist of? So say we have two random variables [math]X,Y[/math] (independent variable, dependent variable respectively). Is each [math]P_{\theta}\in\mathcal{P}[/math] of the form [math]N(\hat{\beta_0} +
\hat{\beta_1}X,\sigma^{2})[/math]?