引用第16樓sy0250358於2010-04-08 22:12發表的“”:
PUSH!!
http://www.runet.edu/~jroufaga/EC421_notes/EC421_ch_4.htmlThe Least Squares Predictor:
Given the value of x one period after the end of the sample, i.e. xT+1 we can predict the corresponding value of y, i.e. yT+1 .
yhatT+1 = b1 + b2 xT+1
It is interesting to evaluate the forecast error that we will be making:
forecast error (f) = yhatT+1 - yT+1 = (b1- b1 ) +( b2 - b2 ) xT+1 - eT+1
It easily follows (from unbiasedness and assumption 2) that
E(f) = 0
and can be shown that the variance of the forecast error is:
Var(f) = s2 [1 + (1/T) + (xT+1-E(x))2/S( xt- E(x))2 ]
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I've checked my CFA notes, it only quotes the formula for the variance of the forecast, without any proof.