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The following table shows the actual demand observed over the last 11 years: Yea

ID: 3043527 • Letter: T

Question

The following table shows the actual demand observed over the last 11 years:

  

Year

1

2

3

4

5

6

7

8

9

10

11

Demand

88

99

44

1010

1313

99

1212

1212

1010

1313

88

This exercise contains only parts b, c, and d.

b) Using the 3-year moving average, provide the forecast from periods 4 through 12 (round your responses to one decimal place).

Year

4

5

6

7

8

9

10

11

12

Forecast

nothing

nothing

nothing

nothing

nothing

nothing

nothing

nothing

nothing

c) Using the 3-year weighted moving average with weights

0.150.15,

0.300.30,

and

0.550.55,

using

0.550.55

for the most recent period, provide the forecast from periods 4 through 12 (round your responses to two decimal places).

Year

4

5

6

7

8

9

10

11

12

Forecast

nothing

nothing

nothing

nothing

nothing

nothing

nothing

nothing

nothing

d) Mean absolute deviation for the forecast developed using the 3-year moving average is

2.092.09

and for the 3-year weighted moving average is

2.582.58.

Based on this information, the better forecast is achieved using the

approach.

Year

1

2

3

4

5

6

7

8

9

10

11

Demand

88

99

44

1010

1313

99

1212

1212

1010

1313

88

Explanation / Answer

b) for 3 year moving average forecast =(last 3 month actual total)/3

hence

c)

weighted moving average forecast =0.55*last month actual+0.3*2 month back actual+0.15*3month back actual

d)

Based on this information, the better forecast is achieved using the 3-year moving average aproach (as its MAD is lower )

(please revert for any clarification)

Year Demand(A) Forecast(F) |A-F| 1 8 2 9 3 4 4 10 7.0 3.0 5 13 7.7 5.3 6 9 9.0 0.0 7 12 10.7 1.3 8 12 11.3 0.7 9 10 11.0 1.0 10 13 11.3 1.7 11 8 11.7 3.7 12 10.3 total 16.7 MAD=total/n 2.08
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