By squaring the binomial expression [(Yi Y) (SxY /s2 x)(xi x)], show that n i=1 [(Yi Y)

Chapter 9, Problem 9.6-6

(choose chapter or problem)

By squaring the binomial expression [(Yi Y) (SxY /s2 x)(xi x)], show that n i=1 [(Yi Y) (SxY /s 2 x)(xi x)]2 = n i=1 (Yi Y) 2 2 SxY s2 x n i=1 (xi x)(Yi Y) + S2 xY s4 x n i=1 (xi x) 2 equals (n 1)S2 Y (1 R2), where X1 = x1, X2 = x2, ... , Xn = xn. Hint: Replace SxY = n i=1(xix)(YiY)/(n1) by RsxSY .

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