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Update videos.md
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zaltac authored Jan 16, 2025
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[Video 1. Fundamentals of Least Squares](https://www.youtube.com/watch?v=H9mF66KpthU) This video covers the fundamental theoretical, practical and metric aspects of the least square fit. It covers determining the best regression model for the dataset, goodness of fit metrics such as r-squared, adjusted r-squared, rmse, residual plot and Predicted-Observed (PO) plot analysis.

[Video 2. Linear and Polynomial Regression](https://www.youtube.com/watch?v=wfrfmDhxdXE) This video covers the implementation of the polynomial regression with a numerical example for linear regression model. The goodness of fit metrics such as r-squared, residual and PO plots, and 68 and 95% confidence intervals are also covered.

[Video 3. Nonlinear (Linearizable) Least Squares Regression](https://www.youtube.com/watch?v=wG4J4nnjgxk) This video covers transformation techniques to convert complex or nonlinear models to linear models. Numerical solution of an example problem is given step-by-step with emphasis on calculating and assessing the goodness of fit metrics.

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