Statistical Foundations of Data Science

This course aims to teach these fundamental statistical concepts and theory underlying data science. We will explore key topics such as descriptive statistics, probability theory, sampling distributions, the central limit theorem, hypothesis testing, regression analysis, and nonparametric methods, along with an introduction to multivariate techniques like principal component analysis (PCA). By building a strong theoretical foundation, we will learn to recognize how these essential ideas underpin even the most advanced methods and algorithms in data science and machine learning.