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Two proofs :

1) Show that SSR/SSTO is the same whether Y1 is regressed on Y2 or Y2 is regressed

on Y1

2) Use variance(Yh) to derive variance(b0). I got that variance of Yh is (1/n + (xh-xbar)^2/sum(xi-xbar)^2)

I have posted this question before but no one was able to help me, hoping someone can this time.

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