Consider the simple linear regression model (y_{t}=beta_{0}+beta_{1} x+varepsilon_{t}), where the error are generated by the second-order autoregressive
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Consider the simple linear regression model \(y_{t}=\beta_{0}+\beta_{1} x+\varepsilon_{t}\), where the error are generated by the second-order autoregressive process
\[
\varepsilon_{t}=ho_{1} \varepsilon_{t-1}+ho_{2} \varepsilon_{t-2}+a_{t}
\]
Discuss how the Cochrane-Orcutt iterative procedure could be used in this situation. What transformations would be used on the variable \(y_{t}\) and \(x_{t}\) ? How would you estimate the parameters \(ho_{1}\) and \(ho_{2}\) ?
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Related Book For
Introduction To Linear Regression Analysis
ISBN: 9781119578727
6th Edition
Authors: Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining
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