What is Linear Regression?
Here is the video version of Lesson 16 from Stat Trek's free online tutorial covering the complete curriculum for Advanced Placement (AP) Statistics.
About This Video
This video describes simple linear regression, a method for predicting the value of a dependent variable based on the value of a single independent variable. The video describes prerequisites for regression (i.e, conditions which must be satisfied before regression is justified). It shows how to define a regression line, an equation that predicts the value of an unknown dependent variable from the value of a known independent variable. And it shows how to compute the coefficient of determination, which measures the strength of the relationship between an independent variable and a dependent variable.
A written version of the material covered in this video is available at https://stattrek.com/regression/linear-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.