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

ID: 3262204 • 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

7

10

5

9

13

9

12

14

9

11

8

a) 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

b) Using the 3-year weighted moving average with weights 0.15, 0.30, and 0.55, using 0.55 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

c) Mean absolute deviation for the forecast developed using the 3-year moving average is 2.23 and for the 3-year weighted moving average is 2.49. Based on this information, the better forecast is achieved using the following approach:

A.

weighted moving average

B.

3-year moving average

Year

1

2

3

4

5

6

7

8

9

10

11

Demand

7

10

5

9

13

9

12

14

9

11

8

Explanation / Answer

a) Forecast for period 4 = (7 + 10 + 5)/3 = 22/3 = 7.3

Similarly,

The table for forecast will be:

b) Forecast for period 4 = (7*0.15 + 10*0.30 + 5*0.55) = 6.8

Similarly,

The table for forecast will be:

c) Option C is correct.

Year 4 5 6 7 8 9 10 11 12 Forecast 7.3 8.0 9.0 10.3 11.3 11.7 11.7 11.3 9.3
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