A retail store manager uses time series models to understand shopping trends. Time series models are particularly useful to track variables such as revenues, costs, and profits over time. Time series models help evaluate performance and make predictions. Review the attached scatter plot of the store’s sales from 2010 through 2021 to answer the questions. Respond to the following:

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 do you use each?

Review the scatter plot of the exponential trend of the time series data. Do you observe a trend? If so, what type of trend do you observe?

What predictions might you make about the store’s annual sales over the next few years?

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