Practical Regression: Regression Basics

This is the second in a series of lecture notes which, if tied together into a textbook, might be entitled “Practical Regression.” The purpose of the notes is to supplement the theoretical content of most statistics texts with practical advice based on nearly three decades of experience of the author, combined with over one hundred years of experience of colleagues who have offered guidance. As the title “Practical Regression” suggests, these notes are a guide to performing regression in practice. 
This technical note reviews the basic elements of regression analysis. Students who read this note will be able to explain the fundamental principals of regression, including (1) regression as an alegbraic equation; (2) dummy variables and nonlinear terms; (3) R-squared and goodness of fit; and (4) reporting the significance and economic importance of regression coefficients. Having completed this note, students will be prepared to study the special topics in regression that are covered in other notes in this series.