Orthogonal Projection Operator in Least Squares - part 1

This video explains the concept of the Orthogonal Projection Operator in Ordinary Least Squares estimation, and derives its explicit matrix form.

[vainessa]

Hello! And first of all, thank you so much for the videos! They have been my favorite source in econometrics so far! I wonder if there's a video on Frisch-Waugh-Lovell Theorem. I did search through but I wasnt able to find it. Thank you! You are amazing!

[mohssenify]

Hi lembert there is error the projected y in the column space of x is written with y hat not with u hat, u hat is the orthogonal complement of full rank column space of x

[sherlocksilver]

Isn't P always the identity matrix?