Question: To forecast sales for the next week using exponential smoothing well use the formula Ft alpha Yt1 1alphaFt1 Where Ft is the forecast for period
To forecast sales for the next week using exponential smoothing well use the formula Ft alpha Yt1 1alphaFt1 Where Ft is the forecast for period t Yt1 is the actual value in the previous period alpha is the smoothing constant Well calculate forecasts for 01 and 04 then compare the errors Forecasts with 01 beginarraycccc hline textWeek textActual Sales textForecast textError hline 1 38 3800 000 2 44 3800 600 3 40 3860 140 4 45 3874 626 5 38 3937 137 6 3903 hline endarray Forecasts with 04 beginarraycccc hline textWeek textActual Sales textForecast textError hline 1 38 3800 000 2 44 3800 600 3 40 4040 040 4 45 4024 476 5 38 4214 414 6 4049 hline endarray Error Comparison For 01 Mean Absolute Error MAE 301 Mean Squared Error MSE 1454 For 04 Mean Absolute Error MAE 306 Mean Squared Error MSE 1531 The model with 01 performs slightly better having lower MAE and MSE values Graph To visualize the data you can create a line graph with the following data points Week Actual Forecast 01 Forecast 04 1 38 3800 3800 2 44 3800 3800 3 40 3860 4040 4 45 3874 4024 5 38 3937 4214 6 3903 4049 The graph should show three lines one for the actual sales data one for forecasts with 01 and one for forecasts with 04 The actual sales line will end at week 5 while the forecast lines will extend to week 6 Citations 1 httpspplaifileuploads3amazonawscomwebdirectfiles434372789f2abc6d5dfd4cd58b20958527c772efpastetxt 2 httpspplaifileuploads3amazonawscomwebdirectfiles43437278334fdc3e729d416096ed2ad48ee83acapaste2txt 3 httpspplaifileuploads3amazonawscomwebdirectfiles434372785c0dca3722794e0ebda9f905bdaa48acGROUP11APPPRESENTATIONdocx
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