One of the most common things in statistics is to describe the linear relationship between two variables by fitting a best-fit line to the scatterplot of those variables. The method for finding the best-fit line is called simple linear regression and is the topic of this module.
After completing this module, you should be able to ...
- Describe the purposes of regression.
- Describe the criteria used to determine the best-fit line to a set of bivariate data.
- Describe the assumptions surrounding the best-fit criteria.
- Identify the response and explanatory variables.
- Describe the equation of a line and what the slope and intercept "mean."
- Make appropriate predictions using the best-fit line.
- Describe the meaning of the coefficient of determination.
Preparation for Class
Use the materials below to answer the questions on this preparation guide.
- Video: Response and Explanatory Variables - A [2 mins] and B [2 mins]
- Video: Introduction to Regression [14 mins]
- Video: R-Squared [5 mins]
- Video: Linear Regression in R [8 mins]
- Video: Regression Questions [10 mins]
- Video: Assumptions [3 mins]
- Review Exercises: Applications / Applications with R
- Class Exercises: 1 / 2 / 3 (time permitting … 4)
- Homework Assignment