Suppose (Delta Y_{t}) follows the (operatorname{AR}(1)) model (Delta Y_{t}=beta_{0}+beta_{1} Delta Y_{t-1}+u_{t}). a. Show that (Y_{t}) follows an
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Suppose \(\Delta Y_{t}\) follows the \(\operatorname{AR}(1)\) model \(\Delta Y_{t}=\beta_{0}+\beta_{1} \Delta Y_{t-1}+u_{t}\).
a. Show that \(Y_{t}\) follows an \(\operatorname{AR}(2)\) model.
b. Derive the \(\operatorname{AR}(2)\) coefficients for \(Y_{t}\) as a function of \(\beta_{0}\) and \(\beta_{1}\).
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