least squares method

title

linear regression using the least squares method

• provide a technique for estimating the equation of a line of best fit
• equation of a line is in the form: $$\begin{gathered} (y=b_0+b_{1}x \\ ) \end{gathered}$$
• estimation for value of a and b
  • $$\begin{gathered} (b_1=\frac{n\sum xy-\sum x\sum y}{n\sum x^2-(\sum x{)}^2} \\ ) \end{gathered}$$
  • $$\begin{gathered} (b_0=\frac{\sum y}{n}=\frac{b_1\sum x}{n} \\ ) \end{gathered}$$ : regression coefficient
  • n: number of pairs of data