This chapter introduces the "Mathematical Compass" of Data Science: Regression Analysis. While previous chapters focused on grouping and labeling, students will now learn to predict continuous, numerical outcomes. By mastering the ability to quantify exactly how one variable influences another, students will move from simply describing data to building models that can estimate everything from market trends to housing prices with statistical precision. Core Topics covered: Chapter Overview Simple Linear Regression Multiple Linear Regression Regression Diagnostics Variable Selection Regularized Regression Non-Linear Regression Regression for Count and Categorical Outcomes Chapter Lab Activity: Housing Price Regression with Boston Dataset

This final project analyzes NBA player-level and team-level data from Basketball-Reference from 2015–2025 to study how three-point shooting has changed over time. The report examines whether the growth in three-point attempts is driven only by guards and stars or by broader changes across positions, rotation players, and team offensive strategy.

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