Time Series Decomposition

Y(t) = T(t)  +  S(t)  +  R(t)

① Trend T(t)

Hand-draw the long-term direction of the series.

② Seasonal S(t)

Choose the seasonal pattern and adjust its parameters.

③ Residual R(t)

Hand-draw irregular noise or unexplained variation.

④ Final Y(t) = T(t) + S(t) + R(t)

Composed signal showing all three components and their sum.

T(t) trendS(t) seasonalR(t) residualY(t) total