Studentized Residuals. Show that the variance of the ith residual is The ith studentized residual is defined

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Studentized Residuals. Show that the variance of the ith residual is

1 (x -I)? V(e,) = o

The ith studentized residual is defined as

e; (x; – X)² S.

(a) Explain why ri has unit standard deviation.

(b) Do the standardized residuals have unit standard deviation?

(c) Discuss the behavior of the studentized residual when the sample value xi is very close to the middle of the range of x.

(d) Discuss the behavior of the studentized residual when the sample value xi is very near one end of the range of x.

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Related Book For  book-img-for-question

Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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