We found the least squares line through a set of n points(x₁ , y₁), (x₂ , y₂) ,....,(x_n , y_n) by choosing the slope of the line m and the y-intercept b to minimize the quantity S(m, b) = ∑(mx + b - y)², where the summation symbol ∑ means that we sum over all the data points. Minimize S by setting S_m(m, b) = 0 and S_b(m, b) = 0, and then rearrange the results to derive the equations from Section 1.3

Transcribed Image Text:

(Σx)b + (Σx)m nb + (Σx)m + = Συν = Συ