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Deriving the Normal Equations • The least squares method was introduced in Chapter 4 and used in Chapter 15. The objective was to determine the sample regression line y b bx 0 1 That would minimize the sum of squared deviations between the points and the line. That is, the method determines values for b0 and b1 such that n SSE ( y y ) i i 1 i y b bx is minimized. Since n 2 0 n (y y ) (y b b x ) i 1 2 i i i 1 i 0 1 i 2 1 , we have