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A take on Statistician’s way of thinking

Source: Web

While I was attempting to learn how Bayesian, Regression analysis and Instance-based learning techniques under probablistic machine learning, I realized how deep the statistical techniques are and how they form a basis for the above supervised learning techniques. Below shown is a mind map of statistical and algebraic concepts that Regression analysis based algorithms employ.

I wanted to explain myself in a simple way on what statistician’s thinking process is, and