In this lecture we mathematically derive the variance for the intercept and slope for simple linear regression based on our ordinary least squares approach.
A video for the Biostatistical Methods I (BIOS 6611) course in the Department of Biostatistics and Informatics at the University of Colorado-Anschutz Medical Campus taught by Dr. Alex Kaizer. Slides and additional material available at [ Ссылка ].
Table of Contents:
00:00 - Intro Song
00:16 - Welcome
00:52 - Formula Refreshers
04:24 - Deriving Variance of the Slope
17:00 - Deriving Variance of the Intercept
21:55 - Cov(Y-bar,beta-hat_1 X_bar) = 0
32:46 - Standard Error of the Mean
![](https://i.ytimg.com/vi/kM5BlXY7oqQ/maxresdefault.jpg)