[Linear Regression] Simple Linear Regression
[Linear Regression] Simple Linear Regression

We have already created a simple linear model in the post "Introduction to Linear Regression". $y=w_1x_1+w_2x_2$ is a linear equation of both $\boldsymbol{x}=[x_1 \; x_2]^T$ and $\boldsymbol{w}=[w_1 \; w_2]^T$. According to the definition of linear, we come up with the first simplest linear regression:

[Linear Regression] Introduction to Linear Regression
[Linear Regression] Introduction to Linear Regression

Linear regression is a basic idea in statistical or machine learning, especially in supervises learning. The linear regression is a statistical model whose structure is based on the linear combination, and it is usually used to predict some quantitative responses to some inputs(predictors).