Time series are particularly useful to track variables such as revenues, costs

     
    Time series are particularly useful to track variables such as revenues, costs, and profits over time. Time series models help evaluate performance and make predictions. Consider the following and respond in a minimum of 175 words:
    Time series decomposition seeks to separate the time series (Y) into 4 components: trend (T), cycle (C), seasonal (S), and irregular (I). What is the difference between these components?
    The model can be additive or multiplicative. When we do use an additive model? When do we use a multiplicative model?
    The following list gives the gross federal debt(in millions of dollars) for the U.S. every 5 years from 1945 to 2000:
    Year    Gross Federal Debt ($millions)
    1945    260,123
    1950    256,853
    1955    274,366
    1960    290,525
    1965    322,318
    1970    380,921
    1975    541,925
    1980    909,050
    1985    1,817,521
    1990    3,206,564
    1995    4,921,005
    2000    5,686,338
    Construct a scatter plot with this data. Do you observe a trend? If so, what type of trend do you observe?
    Use Excel to fit a linear trend and an exponential trend into the data. Display the models and their respective r^2.
    Interpret both models. Which model seems to be more appropriate? Why?

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