Regression
An extensive series into the statistical concept of regression.
We start by developing your intuition around simple regression and make our way through multiple regression, categorical variables, logit models and a detailed inspection of the assumptions underlying regression. Enjoy!
Regression 1: The basics
What is regression | SSE, SSR and SST | R-squared | Errors (ε vs. e)
Regression 2: Adjusted R-squared
Degrees of Freedom ACTUALLY explained! | Adjusted R-squared
Regression 3: Understanding Regression Output
This video looks at EVERYTHING generated in a typical regression output and breaks it down. This is where you might find that “AHA!” moment.
Regression 4: Advanced Regression!
This tutorial contains more advanced concepts for those keen on pushing their understanding of regression beyond the basics.
There’s alot here so it is split into three separate videos:
Part (a) - Non-linear relationships | Logarithms
Part (b) - Categorical X variables | Interaction terms
Part (c) - Categorical Y variables | Logit models
Download the original jaybob dataset here, and the modelling workbook here.
Regression 5: Regression assumptions
Linearity | Homoskedasticity | Autocorrelation | Normality of errors | Multicollinearity | Exogeneity
EXTRA: Heteroskedasticity
A more in-depth discussion of the regression assumption violation of heteroskedasticity
EXTRA: Multicollinearity
A more in-depth discussion of the regression assumption violation of multicollinearity
EXTRA: Autocorrelation
A more in-depth discussion of the regression assumption violation of autocorrelation. Durbin-Watson test | Breush-Godfrey test | Cochrane-Orchutt procedure | AR(1) procedure