Period Demand seasonal factor  Mar-18 31,550 0.84   Apr-18 32,125 0.86   May-18 35,700 0.95   Jun-18 40,620 1.08   Jul-18 42,810 1.14   Aug-18 44,230 1.18   Sep-18 41,482 1.11   Oct-18 38,348 1.02   Nov-18 34,722 0.93   Dec-18 36,190 0.97   Jan-19 38,450 1.03   Feb-19 33,330 0.89           total  449,557     Average  37,463     What is the forecast demand for march 2019 using simple exponential smoothing with an alpha = 0.3 ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 54E
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Period Demand seasonal factor 
Mar-18 31,550 0.84  
Apr-18 32,125 0.86  
May-18 35,700 0.95  
Jun-18 40,620 1.08  
Jul-18 42,810 1.14  
Aug-18 44,230 1.18  
Sep-18 41,482 1.11  
Oct-18 38,348 1.02  
Nov-18 34,722 0.93  
Dec-18 36,190 0.97  
Jan-19 38,450 1.03  
Feb-19 33,330 0.89  
       
total  449,557    
Average  37,463    

What is the forecast demand for march 2019 using simple exponential smoothing with an alpha = 0.3 ?

 

Expert Solution
Step 1

 The idea behind Exponential Smoothing for making forecasts consists of estimating the data value of certain period based on the previous data value as well as the previous forecast so that to attempt to correct for the deviation between the previous actual value and the prediction. The following formula is used to estimate the data value during the period n

\text{Forecast during period n} = F_n = F_{n-1} + \alpha (A_{n-1} - F_{n-1})

The Exponential Smoothing method of forecasting is a commonly used method to make forecasts based on a times series data set. Other common methods are the naive forecast method, the weighted moving averages, the moving averages forecast method and the linear trend forecasting method, just to mention a few.

Here we assume no trend component. Computing exponential smoothening with trend component provides for a more accurate prediction.

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