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Forecasting

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know the various components of a time series   The usual assumption is that four separate components — trend, cyclical, seasonal, and irregular — combine to provide specific values for the time series.  
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Time series   A set of observations of a variable measured at successive points in time or over successive periods of time.  
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Forecast   A projection or prediction of future values of a time series.  
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Time series method   Forecasting method that is based on the use of historical data that are restricted to past values of the variable we are trying to forecast.  
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Causal forecasting methods   Forecasting methods that are based on the assumption that the variable we are trying to forecast exhibits a cause–effect relationship with one or more other variables.  
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Trend   The gradual shift or movement of the time series to relatively higher or lower values over a longer period of time.  
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Cyclical component   The component of the time series that accounts for the periodic above-trend and below-trend behavior of the time series lasting more than one year.  
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Seasonal component   The component of the time series that represents the variability in the data due to seasonal influences.  
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Irregular component   The component of the time series that accounts for the random variability in the time series.  
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Moving averages   A smoothing method that uses the average of the most recent n data values in the time series as the forecast for the next period.  
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Mean squared error (MSE)   An approach to measuring the accuracy of a forecasting method. This measure is the average of the sum of the squared differences between the actual time series values and the forecasted values.  
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Weighted moving averages   A smoothing method that uses a weighted average of the most recent n data values as the forecast.  
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Exponential smoothing   A smoothing method that uses a weighted average of past time series values as the forecast; it is a special case of the weighted moving averages method in which we select only one weight—the weight for the most recent observation.  
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Smoothing constant   In the exponential smoothing model, the smoothing constant is the weight given to the actual value of the time series in period t.  
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Mean absolute deviation (MAD)   A measure of forecast accuracy. The average of the absolute values of the forecast errors.  
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Multiplicative time series model   When the four components of trend, cyclical, seasonal,& irregular are present,we obtain Yt=Tt*Ct*St*It.When cyclical effects aren't modeled,we obtain Yt=Tt*St*It.  
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Seasonal index   A measure of the seasonal effect on a time series. A seasonal index above 1 indicates a positive effect, a seasonal index of 1 indicates no seasonal effect, and a seasonal index less than 1 indicates a negative effect.  
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Deseasonalized time series   A time series that has had the effect of season removed by dividing each original time series observation by the corresponding seasonal index.  
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Regression analysis   A statistical technique used to develop a mathematical equation showing how variables are related.  
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Autoregressive model   A regression model in which the independent variables are previous values of the time series.  
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Delphi method   A qualitative forecasting method that obtains forecasts through group consensus.  
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Scenario writing   A qualitative forecasting method that consists of developing a conceptual scenario of the future based on a well-defined set of assumptions.  
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Scenario writing   A qualitative forecasting method that consists of developing a conceptual scenario of the future based on a well-defined set of assumptions.  
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