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Predictive and Specialized Modeling > Time Series Forecast > Time Series Forecast Model Reports
Publication date: 06/21/2023

Time Series Forecast Model Reports

The Model Reports section contains a Select Series list and one or more individual series modeling reports. The individual reports that are displayed are determined by the Select Series list. Click on the name of a series in this list to show the report for the selected series. If you select more than one series name by using either Ctrl or Shift, an individual model fit report for each of the selected series is shown. If you deselect one or more series from the Select Series list, the reports for the corresponding series are removed.

The Select Series list is linked to the data table. When you select a series in the Select Series list, the observations for the series and response variable combination are also selected in the data table. The Select Series list is also linked to the Group Summary of Y table. If a Time variable is specified, the Select Series list is also linked to the Group Summary of Time table. When you select a series in the Select Series list, the corresponding entries are also selected in the tables.

Each individual model report contains the following information:

Model Type

Describes the best fitting model for the series in terms of error, trend, and seasonality.

Model Report

A group of reports based on the model that is fit to the series.

Series and Forecasts

(Available only when Information Criteria is specified as the model selection strategy.) A plot of the original series and forecasts. During the time period of the original series, the one-step-ahead predictions are shown. Beyond the time period of the original series, the forecasts are shown. The shaded region represents the forecasting interval.

Note: All of the forecasts start at the time point that immediately follows the last time point across all individual series. See Data Format.

Training, Holdback, and Forecasts

(Available only when Forecast Performance is specified as the model selection strategy.) A plot of the training series, holdback series, and the forecasted series. A shaded vertical region represents the holdback series. Since this is the model refit on the entire time series, the one-step-ahead predictions are shown during the time period of the entire original series. During the time period past the last observation, the forecasts are shown. The shaded region represents the forecasting interval.

Model Summary

Provides the -2Loglikelihood, the AIC, the number of parameters, and the sigma value. The sigma value is the estimate of the one-step-ahead forecast standard deviation. If Forecast Performance is specified as the model selection strategy, the root mean square error (RMSE) for the holdback set is also shown. See Likelihood, AICc, and BIC in Fitting Linear Models.

Parameter Estimates

Provides the parameter estimates for the model. The parameters correspond to the parameters in the best fitting model, which is described in the Model Type report.

One-Step-Ahead Forecasting Errors

A plot of the one-step-ahead forecasting errors over time. For each time point t, the error is calculated as e(t) = y(t) - μ(t).

One-Step-Ahead Relative Forecasting Errors for Multiplicative Error Model

(Available only for multiplicative error models.) A plot of the one-step-ahead relative forecasting errors over time. For each time point t, the error is calculated as e(t) = [y(t) - μ(t)]/μ(t).

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