Summary of Linear Regression, Clearly Explained!!!
linear regression is a powerful concept used to fit a line to data and make predictions.
The main concepts behind linear regression include using least squares to fit a line, calculating R squared, and calculating a p-value for R squared.
R squared measures how much of the variation in the data can be explained by the model.
The p-value for R squared comes from the F statistic, which compares the variation explained by the model to the unexplained variation.
The degrees of freedom in the F statistic determine the significance of the model.
To calculate the p-value, random data sets are generated, and the F statistic is calculated and compared to the original data.
The relationship between R squared and the p-value determines the reliability and significance of the linear regression model.
Speakers/sources
- Genetics department at the University of North Carolina at Chapel Hill
Notable Quotes
— 14:08 — « "For example, given the weight and tail length for this mouse, the equation predicts this body length." »
— 17:42 — « "Other words, R-Squared equals the variation in mouse size explained by weight divided by the variation in mouse size without taking weight into account." »
— 23:21 — « "Now that question we've all been dying to know the answer to, how do we turn this number into a p-value?" »
Category
Educational