Linear Regression with One Variable

A general regression problem can be defined with the following example. Suppose we have a set of data points and we need to figure out the best fit curve to approximately fit the given data points. This curve will describe the relationship between our input variable, x, which is the data point, and the output variable, y, which is the curve.

Remember, in real life, we often have more than one input variable determining the output variable. However, linear regression with one variable will help us to understand how the input variable impacts the output variable.

Types of Regression

In this chapter, we will work with regression on the two-dimensional plane. This means that our data points are two-dimensional, and we are looking for a curve to approximate how to calculate one variable from another.

We will come across the following types of regression in this chapter:

• Linear regression with one variable using a polynomial of degree...