The management of an insurance company monitors the number of mistakes made by telephone service representatives for a company they have subcontracted with. The number of mistakes for the past several months appears in this table along with forecasts for errors made with three different forecasting techniques. The column labeled Exponential was created using exponential smoothing with an alpha of 0.30. The column labeled MA is forecast using a moving average of three periods. The column labeled WMA uses a 3-month weighted moving average with weights of 0.65, 0.25, and 0.10 for the most-to-least recent months. Month Mistakes Exponential MA WMA 1 55 ​ ​ ​ 2 61 ​ ​ ​ 3 71 ​ ​ ​ 4 77 71 62 67 5 88 73 70 74 6 100 77 79 84 7 109 84 88 95 8 122 92 99 105 9 126 101 110 117 10 126 108 119 123 Using above table, what is the MSE for months 6-10 for the exponential smoothing technique?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section13.7: Exponential Smoothing Models
Problem 26P: The file P13_26.xlsx contains the monthly number of airline tickets sold by the CareFree Travel...
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The management of an insurance company monitors the number of mistakes made by telephone service representatives for a company they have subcontracted with. The number of mistakes for the past several months appears in this table along with forecasts for errors made with three different forecasting techniques. The column labeled Exponential was created using exponential smoothing with an alpha of 0.30. The column labeled MA is forecast using a moving average of three periods. The column labeled WMA uses a 3-month weighted moving average with weights of 0.65, 0.25, and 0.10 for the most-to-least recent months.

Month Mistakes Exponential MA WMA
1 55
2 61
3 71
4 77 71 62 67
5 88 73 70 74
6 100 77 79 84
7 109 84 88 95
8 122 92 99 105
9 126 101 110 117
10 126 108 119 123

Using above table, what is the MSE for months 6-10 for the exponential smoothing technique?

a.

less than 591

b.

greater than or equal to 591 but less than 595

c.

greater than or equal to 595 but less than 599

d.

greater than 599

 

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