Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week Sales (1,000s...

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Basic Math

Consider the following gasoline sales time series. If needed,round your answers to two-decimal digits.

Week

Sales (1,000s of gallons)

1

18

2

22

3

15

4

24

5

18

6

15

7

21

8

19

9

21

10

20

11

16

12

22

(a)

Show the exponential smoothing forecasts using ? = 0.1, and ? =0.2.

Exponential
Smoothing

Week

? = 0.1

? = 0.2

13

(b)

Applying the MSE measure of forecast accuracy, would you prefera smoothing constant of ? = 0.1 smoothing constant provides themore accurate forecast, with an overall MSE of

(c)

Are the results the same if you apply MAE as the measure ofaccuracy? An a= 0.1 smoothing constant provides the more accurateforecast, with an overall MAE of

(d)

What are the results if MAPE is used? An a=0.1 smoothingconstant provides the more accurate forecast, with an overall MAPEof =

Answer & Explanation Solved by verified expert
4.0 Ratings (771 Votes)
Let shows the actual value for year t andshows the forecasted value of year t So exponential smoothingforecast formula isaFollowing table shows the forecasted values for a 01 and a02WeekSales 1000s of gallons YtFt alpha01Ft alpha0211818182221818315184188424180618045181865192361518591898721182318188191851187492118561879102018819231116189219381222186318713189722407bFollowing table shows the    See Answer
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