Question: Using the data file phillips5_aus, estimate the equation a. Find the first eight lag weights (delay multipliers) of the infinite distributed lag representation that corresponds

Using the data file phillips5_aus, estimate the equation
INF =8+0,INF-1+0INF-4 +8DU, + v

a. Find the first eight lag weights (delay multipliers) of the infinite distributed lag representation that corresponds to this model. What is the total multiplier?

b. Using a $5 \%$ significance level, test the hypothesis that the error term in the infinite distributed lag representation follows the $\mathrm{AR}(4)$ process $e_{t}=\theta_{1} e_{t-1}+\theta_{4} e_{t-4}+v_{t}$.

INF =8+0,INF-1+0INF-4 +8DU, + v

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