Transformations in Regression
Here is the video version of Lesson 19 from Stat Trek's free online tutorial covering the complete curriculum for Advanced Placement (AP) Statistics.
About This Video
When a residual plot reveals a data set to be nonlinear, it may be possible to transform the raw data to make it more linear. This can allow researchers to use linear regression techniques effectively with nonlinear data.
This video explains how to make a transformation to achieve linearity. It explains the difference between linear and and nonlinear transformations, and it shows how nonlinear transformations can increase linearity within a data set. The video describes different methods to enhance linearity. And it works step-by-step through an example to clearly illustrate the transformation process.
A written version of the material covered in this video is available at https://stattrek.com/regression/transformations-in-regression.
About Stat Trek's Video Series
A little history: About two decades ago, Stat Trek produced a free online tutorial covering the complete curriculum for AP Statistics. The tutorial, which can be found at https://stattrek.com/tutorials/ap-statistics-tutorial, was to designed to help students prepare for and pass the AP Statistics exam. Consisting of 69 easy-to-understand written lessons, the tutorial was very well-received.
Of course, there is always room for improvement. With that in mind, some students suggested supplementing the written lessons with video instruction. The Stat Trek video series is our response to that suggestion. So far, we've produced 44 video lessons, one video lesson for each of the first 44 written lessons from Stat Trek's' AP Statistics Tutorial.
The work continues. We're adding videos little by little. Eventually, we intend to have a video for each of the 69 written lessons from the tutorial.