In this chapter, we will introduce our first model, simple linear regression. Simple linear regression models the relationship between one response variable and one feature of an explanatory variable. We will discuss how to fit our model, and we will work through a toy problem. While simple linear regression is rarely applicable to real-world problems, understanding it is essential to understanding many other models. In subsequent chapters, we will learn about generalizations of simple linear regression and apply them to real-world datasets.
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