Question: Using the data for Problem 16.17 on page 570 concerning the number of passenger cars produced in the United States from 1999 to 2014 (stored

Using the data for Problem 16.17 on page 570 concerning the number of passenger cars produced in the United States from 1999 to 2014 (stored in CarProduction ),

a. Fit a third-order autoregressive model to the number of passenger cars produced in the United States 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 number of passenger cars produced in the United States 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 number of passenger cars produced in the United States and test for the significance of the first-order autoregressive parameter. (Use α = 0.05.)

d. Forecast the U.S. car production for 2015.

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