Question: Refer to the data given in Problem 16.15 on page 682 that represent the amount of oil (in billions of barrels) held in the U.S.
a. Fit a third-order autoregressive model to the amount of oil and test for the significance of the third-order autoregressive parameter. (Use α = 0.05.)
b. If necessary, fit a second-order autoregressive model to the amount of oil and test for the significance of the second-order autoregressive parameter. (Use α = 0.05.)
c. If necessary, fit a first-order autoregressive model to the amount of oil and test for the significance of the first-order autoregressive parameter. (Use α = 0.05.)
d. If appropriate, forecast the barrels held in 2010.
e. The actual physical capacity of the strategic oil reserve is 727 billion barrels of oil. If you knew that before making a forecast in (d), how would that change your forecast?
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