Thompson Airlines has determined that 5% of the total number of U.S. domestic airline passengers fly on Thompson planes. You are given the task of forecasting the number of passengers who will fly on Thompson Airlines in 2007. The data are presented in Table P-13.

a. Develop a time series regression model, using time as the independent variable and the number of passengers as the dependent variable. Fit this model.
b. Is the assumption of independent errors for this model viable?
c. Fit the model in part a with the logarithms of the number of passengers as the dependent variable.
d. Repeat part a with the time represented by an exponential trend.
e. Which of the models in parts c and d do you prefer? Why?
f. Do the errors for either of the models in parts c and d appear to be independent? If not, what problem(s) might arise when using one (or both) of these fitted models for forecasting?
g. Using your preferred model, forecast the number of Thompson Airlines passengers for 2007.

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TABLE P-13 Number of PassengerS Number of Passengers Number of Passengers Number of Passengers Year ,000s) 1982 2619914 Year (1,000s) Year(1,000s) 79.9 45.8 1998 109.0 Year (1,000s) 1996 903 2005 151 345 199 463 196 1999 144.8 147.9 150.1 151.9 22.8 2003 2004 1990 1997 1984 1985 294 34.5 37.6 40.3 39.5 1992 1993 1994 1995 116.0 54.62000 117.2 2000 249 2006 1986 1987 1988 61.9 2001 69.9 2002 124.9 136.6