 ##### [Linear Regression] Are the Parameters Calculated from Least Squared Error Correct?

How correct we believe the parameters of the model are always concerned by us. To have more confidence in using methods talked previously, we would like to make a reliable framework, under which the method is always feasible. ##### [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 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).