To prove that the regression model corresponds to a minimum of the sum of the square of the residuals

Many regression models when derived in books only show the first derivative test to find the formulas for the constants of a regression model.  Here we take a  simple example to go through the complete derivation.

Finding minimum of sum of square of residuals

Minimum of sum of square of residuals


This post is brought to you by Holistic Numerical Methods: Numerical Methods for the STEM undergraduate at, the textbook on Numerical Methods with Applications available from the lulu storefront, and the YouTube video lectures available at and

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