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Inferences on the Fitted Value (Yh)

Original Model: Yi = b0 + b1Xi + ei,where ei ~ N(0,s2) and cov(ei,ej)=0 for i¹ j.

Yh=b0+b1xh (the fitted value for a given xh)

The variance of the fitted value Yh (=) is estimated by using the sample variance s2 in place of s2 above and is denoted by .

Thus t follows a t distribution with (n-2) d.f.
Hence a 100(1-a )% confidence interval for () is given by


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Jayant Rajgopal