inference

A Political Theorist Teaching Statistics: Estimation and Inference

Still more about my experiences this term as a political theorist teaching methods.

How to introduce the core ideas of regression analysis: via concrete visual examples of bivariate relationships, culminating in the Gauss Markov theorem and the classical regression model? via a more abstract but philosophically satisfying story about inference and uncertainty, models and distributions? Some combination of each?

I took my lead here from my first teacher of statistics, and I want to describe and praise that approach, which still impresses me as quite beautiful in its way.