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1. From SSE SSE = Ce? = _[Yi - Bo - Bizi]2, 1= 1 derive the least-squares estimator and show that B1 = Lil(*i -
1. From SSE SSE = Ce? = _[Yi - Bo - Bizi]2, 1= 1 derive the least-squares estimator and show that B1 = Lil(*i - I ) ( Yi - Y) EL-1(xi - )2 and Bo = Y - BIZ. Let i - X Wi = where Sxx = _(xi - x)2. i= 1 we showed that B1 is a linear function of Yi's, that is, n B1 = wiVi. i= 1 Show that wi = 0. i= 1 Show that = 1 1= 1 Show that widi = 1. i= 1 (Hint). Subtract and add a i=1 Wi
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