Welcome to the Matrix of Data, a realm where choices define reality, akin to the pivotal decision between the blue and red pills in 'The Matrix'. Opting for the blue pill is like running regression through a statistical program – a path of convenience and surface understanding. But today, we choose the red pill, delving into the intricacies of Ordinary Least Squares (OLS) regression in matrix form. This choice, embodied in our replication of the example from Annex C of the G&P textbook[^1] using R, takes us on a transformative journey. It reveals the inner mechanics of the statistical system, akin to understanding the underlying code of the Matrix.

In this brief tutorial, I demonstrate how to calculate Nullity and Rank in R. While there are various methods to achieve these results, I believe this basic approach can be particularly helpful for high school students, like my daughter, who are just beginning to learn linear algebra.

The document is teaching material and gives a naive example for F-test, specifically for nested model

რუსი მიგრანტები - ზოგადი სტატისტიკა

Draft_file: poverty indicators