Question

The following table shows predicted product demand using your particular forecasting method along with the actual...

The following table shows predicted product demand using your particular forecasting method along with the actual demand that occurred:


FORECAST ACTUAL
1,490 1,540
1,390 1,490
1,690 1,590
1,742 1,640
1,790 1,690

a. Compute the tracking signal using the mean absolute deviation and running sum of forecast errors. (Negative values should be indicated by a minus sign. Round your "Mean Absolute Deviation", "Tracking Signal" to 2 decimal places and all other answers to the nearest whole number.)


Period Forecast Actual Deviation RSFE Absolute
Deviation
Sum of
Absolute
Deviation
MAD TS
1 1,490 1,540
2 1,390 1,490
3 1,690 1,590
4 1,742 1,640
5 1,790 1,690


q2)

The tracking signals computed using past demand history for three different products are as follows. Each product used the same forecasting technique.


TS 1 TS 2 TS 3
1 ?2.81 1.54 0.16
2 ?2.43 ?0.65 0.45
3 ?1.81 2.01 1.05
4 ?1.21 2.57 1.80
5 ?0.96 ?0.97 1.83
6 ?0.08 ?1.29 2.27
7 0.16 0.71 2.95
8 0.43 ?1.51 3.13
9 1.53 0.45 3.55
10 2.21 2.75 3.75


a. Graph the tracking signals for each product.

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Answer #1

PLEASE FIND BELOW ANSWER TO FIRST QUESTION ( QUESTION # A ) :

Period

Forecast

Actual

Error

Running sum of forecast error ( RSFE )

Absolute deviation ( AD)

Sum of absolute deviation

MAD

Tracking signal ( TS )

1

1490

1540

50

50

50

50

50

1

2

1390

1490

100

150

100

150

75

2

3

1690

1590

-100

50

100

250

83.33

0.60

4

1742

1640

-102

- 52

102

352

88

-0.59

5

1790

1690

-100

-152

100

452

90.4

-1.68

Following may be noted :

Error for period t = Actual for period t – Forecast for period t

Absolute deviation for period t = Absolute difference between values : actual for period t and Forecast for period t

RSFE for period t = Sum of forecast errors from period 1 upto period t

Sum of absolute deviation for period t = Sum of absolute deviation from period 1 till period t

Mean absolute deviation ( MAD ) for period t = Sum of absolute deviation values from period 1 to period t / t

Tracking signal for period t = RSFE for period t / MAD for period t

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