FILE While there is still an overwhelmingly gloomy outlook, Americans are growing more upbeat about the economy (CNNMoney.com, October 26, 2010).

The following table lists a portion of the University of Michigan's Consumer Sentiment Index. This index is normalized to have a value of 100 in 1965 and is used to record changes in consumer morale. The full data set can be found on the text website, labeled Consumer Sentiment.

Year Month Consumer Sentiment 2005 Jan 95.5 2005 Feb 91.2

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2010 Oct 67.7 SOURCE: Federal Reserve Bank of St. Louis.

a. Plot and interpret the series.

b. Construct and interpret seasonal indices for the series.

c. Estimate linear, quadratic and cubic trend models to the seasonally adjusted data. Select the best fitting model.

d. Use decomposition analysis to make a forecast for November and December of 2010.