ARIMA Model Fitting & Demand Forecast

Working on All Categories · ARIMA(1, 0, 1). Change it on the Demand Analysis page.

ARIMA Order Specification

ARIMA Model Formula

$$\Delta Y_t = c + \phi_1 \Delta Y_{t-1} + \varepsilon_t + \theta_1 \varepsilon_{t-1}$$

Historical Demand vs 6-Month ARIMA Forecast

ARIMA Forecast Chart

6-Month Forecast Values

Month Forecast ($\hat{Y}$) Lower 95% CI Upper 95% CI
November 2024 519.14 units 461.47 576.8
December 2024 518.22 units 459.93 576.51
January 2025 517.47 units 458.77 576.18
February 2025 516.86 units 457.89 575.84
March 2025 516.37 units 457.21 575.52
April 2025 515.96 units 456.69 575.24

Model Metrics

AIC:190.8567
BIC:194.6344
Observations ($n$):19
Error variance ($\sigma^2$):837.5494

Lower AIC/BIC indicates a better fit-versus-complexity trade-off.

Out-of-Sample Accuracy

MAE:17.68 units
RMSE:20.04 units
MAPE:3.53%
Train / Test Periods:14 / 5
Accurate Forecast (MAPE < 10%)

Measured on periods the model never saw during fitting. Full accuracy breakdown →