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Interactive 3D/ARIMA Explorer
ARIMA(p, d, q)
p (AR order)1
d (diff order)0
q (MA order)0
φ (AR coeff)0.70
Series Length
T100
Forecast
Horizon h10
Model Info
Equation:
y_t = 0.70y_{t-1} + ε_t
AIC (approx): 0.0
Residual σ: 1.000
Interpretation
Orange dashed = point forecast. Shaded region = 95% prediction interval. Interval widens with horizon.

ARIMA Explorer - Interactive Visualization

ARIMA(p,d,q) combines autoregression (AR), integration (differencing), and moving average (MA). AR(p) uses past p values; d differencing makes the series stationary; MA(q) uses past q forecast errors. This explorer simulates ARIMA processes and generates h-step ahead forecasts with 95% prediction bands, showing how uncertainty grows with forecast horizon.

  • Adjust p, d, q sliders to generate different ARIMA process types
  • Click Forecast to see h-step ahead forecast with confidence bands
  • See prediction uncertainty grow wider with forecast horizon
  • Compare AR, MA, and ARIMA model behaviors
  • Foundation for time series forecasting in finance, demand planning, and anomaly detection

Part of the EngineersOfAI Interactive 3D - free interactive visualizations covering every major concept in machine learning and AI engineering. Hover any element for a plain-English explanation. No code required.