Simple Moving Average (Window 3) - Time Series Mechanics

Computing MA(3) by hand on a pinned integer series — the exact arithmetic of the smoother, not a forecast.

highlighted = computed this step

MA(3) matrix

The moving-average value at each position is the mean of that position and the two before it. The first two positions are undefined — the window does not fit.

\text{MA matrix}

Raw series (dot plot)

The raw series as dots over time. The smoother follows the input shape with a two-step lag.

\text{raw series}