Studentized Residuals. Show that the variance of the ith residual is V1ei2 2 c 1 a 1 n
Chapter 11, Problem 11-64(choose chapter or problem)
Studentized Residuals. Show that the variance of the ith residual is V1ei2 2 c 1 a 1 n 1xi x2 2 Sxx b dHint: The ith studentized residual is defined as (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. ri ei B 2 c 1 a 1 n 1xi x 2 2 Sxx b d cov1Yi , Y i2 2 c 1 n 1xi x2 2 Sxx d . (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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