Question: 'Prove that the least-squares fit in simple-regression analysis has the following properties: (a) P YbiEi 0. (b) PYi & YbiYbi & Y PEiYbi

'Prove that the least-squares fit in simple-regression analysis has the following properties:

(a) P YbiEi ¼ 0.

(b) PðYi & YbiÞðYbi & YÞ ¼ PEiðYbi & YÞ ¼ 0.

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