# OLS regression

## Multiple Regression and OLS Violations

If you use these materials, please include the following citation.
Meredith Rolfe, , 2013, "Multiple Regression and OLS Violations", http://opossem.org/content/multiple-regression-and-ols-violations
Type of Material:
Lecture Notes and Slides
Creative Commons License:
CC BY-NC-SA 3.0
Level:
grad
Level:
undergrad

This lecture is a continuation of the introductory regression lecture also available on OPOSSEM. It introduces multiple regression and briefly reviews the common OLS violations.  As the lecture is intended for delivery to a large course, heavy use is made of IRT instant voting technology (including a competition amongst members of diferent sections.) Embedded in the lecture is an IRT based review of p values and significance tests based on published tables in articles, as students struggled to get p-values and coefficients interpreted consistently.

## Bivariate OLS regression module

If you use these materials, please include the following citation.
James Garand, , 2011, "Bivariate OLS regression module", http://opossem.org/content/bivariate-ols-regression-module
Type of Material:
Lecture Notes and Slides
Creative Commons License:
CC BY-NC-ND 3.0
Level:
grad
Level:
undergrad

The purpose of this module is to introduce students to bivariate regression analysis. The module begins with an example of how the relationship between two continuous variables can be depicted using a scatterplot--in particular, how the variance in a continuous dependent variable can be decomposed into systematic and unsystematic components. Readers are introduced to the linear model, including a discussion of the Y-intercept and slope coefficients, predicted values and errors, the least-squares principle, the conditional mean, and goodness of fit. The module concludes with a discussion of hypothesis testing for bivariate regression, including significance tests for the R2 and for the unstandardized slope coefficient. 