Solved: Suppose that we are interested in fitting a simple
Chapter , Problem 116MEE(choose chapter or problem)
Suppose that we are interested in itting a simple linear regression model
\(Y=\beta_{0}+\beta_{1} x+\epsilon\) where the intercept, \(\beta_{0}\), is known.
(a) Find the least squares estimator of \(\beta_{1}\)..
(b) What is the variance of the estimator of the slope in part (a)?
(c) Find an expression for a \(100(1-\alpha) \%\) confidence interval for the slope \(\beta_{1}\). Is this interval longer than the corresponding interval for the case in which both the intercept and slope are unknown? Justify your answer.
Equation Transcription:
Text Transcription:
Y=\beta_0+\beta_1 x+\epsilon
\beta_0
\beta_1
100(1-\alpha) \%
\beta_1
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