Khan Academy on a Stick
Regression
Fitting a line to points. Linear regression. R-squared.
Studying, shoe size, and test scores scatter plots
People smoking less over time scatter plot
Constructing a scatter plot
Constructing scatter plot exercise example
Comparing models to fit data-
Correlation and causality
Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise)
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Fitting a line to data
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Estimating the line of best fit exercise
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Squared error of regression line
Introduction to the idea that one can find a line that minimizes the squared distances to the points
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Proof (part 1) minimizing squared error to regression line
Proof (Part 1) Minimizing Squared Error to Regression Line
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Proof (part 2) minimizing squared error to regression line
Proof Part 2 Minimizing Squared Error to Line
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Proof (part 3) minimizing squared error to regression line
Proof (Part 3) Minimizing Squared Error to Regression Line
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Proof (part 4) minimizing squared error to regression line
Proof (Part 4) Minimizing Squared Error to Regression Line
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Regression line example
Regression Line Example
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Second regression example
Second Regression Example
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R-squared or coefficient of determination
R-Squared or Coefficient of Determination
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Calculating R-squared
Calculating R-Squared to see how well a regression line fits data
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Covariance and the regression line
Covariance, Variance and the Slope of the Regression Line
Linear regression and correlation
Even when there might be a rough linear relationship between two variables, the data in the real-world is never as clean as you want it to be. This tutorial helps you think about how you can best fit a line to the relationship between two variables.