Estimating with linear regression
The first regression model that comes to mind is linear regression. Does this mean fitting data points using a linear function, as its name implies? Let’s explore it.
How does linear regression work?
In simple terms, linear regression tries to fit as many of the data points as possible, with a straight line in two-dimensional space or a plane in three-dimensional space. It explores the linear relationship between observations and targets, and the relationship is represented in a linear equation or weighted sum function. Given a data sample x with n features, x1, x2, …, xn (x represents a feature vector and x = (x1, x2, …, xn)), and weights (also called coefficients) of the linear regression model w (w represents a vector (w1, w2, …, wn)), the target y is expressed as follows:
Also, sometimes the linear regression model comes with an intercept (also called bias), w0, so the preceding linear relationship...
