Generating a decomposed time series

A time series is dominated by seasonality as well as trend. The main objective of this section is to introduce the concept of decomposition. We can extract different elements from a time series such as trend or seasonality. The residual series is the series that is free from both, trend and seasonality.

R provides us with the tools to conduct time series analysis very efficiently. It is not possible to cover the topic of time series analysis in detail and I would highly recommend readers to refer to Introductory Time Series with R given in the See also section.

In this recipe, we will explore a simple additive decomposition model. The model is represented as follows:

Xt = Mt+St+Zt

In this notation, the variables ...

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