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Figure 8.7 A time series with a trend
If detrending using a linear or higher order regression model does not provide a
stationary series, a second option is to compute the difference between successive
y-values. This is known as differencing . In other words, for the n values in a
given time series compute the differences as shown in Equation 8.16 .
8.16
The mean of the time series plotted in Figure 8.8 is certainly not a constant.
Applying differencing to the time series results in the plot in Figure 8.9 . This plot
illustrates a time series with a constant mean and a fairly constant variance over
time.
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