Least Squares Line

Least Squares Line

The least square line

Y = mx + b

that  gives the best fir to the data points

(x₁ , y₁) , (x₂ , y₂) ,…….(x_n , y_n)

has slope m and y-intercept b that satisfy the equations

nb + (∑x)m = ∑y

(∑x)b + (∑x²)m = ∑xy.