Discuss the below:
Q: The manager of a travel agency has been using a seasonally adjusted forecast to predict demand for packaged tours. The actual and predicted values are as follows:
Period |
Demand |
Predicted |
1 |
139 |
112 |
2 |
194 |
200 |
3 |
165 |
150 |
4 |
91 |
100 |
5 |
90 |
80 |
6 |
132 |
145 |
7 |
126 |
128 |
8 |
134 |
124 |
9 |
95 |
101 |
10 |
149 |
150 |
11 |
100 |
94 |
12 |
85 |
76 |
13 |
123 |
140 |
14 |
134 |
128 |
a. Compute MAD for the fifth period, then update it period by period using exponential smoothing with a = .1.
t Period |
A Demand |
MADt |
1 |
139 |
|
2 |
194 |
|
3 |
165 |
|
4 |
91 |
|
5 |
90 |
|
6 |
132 |
|
7 |
126 |
|
8 |
134 |
|
9 |
95 |
|
10 |
149 |
|
11 |
100 |
|
12 |
85 |
|
13 |
123 |
|
14 |
134 |
|
b. Compute a tracking signal for periods 5 through 14 using the initial and updated MADs
t Period |
A Demand |
Tracking Signal |
1 |
139 |
|
2 |
194 |
|
3 |
165 |
|
4 |
91 |
|
5 |
90 |
|
6 |
132 |
|
7 |
126 |
|
8 |
134 |
|
9 |
95 |
|
10 |
149 |
|
11 |
100 |
|
12 |
85 |
|
13 |
123 |
|
14 |
134 |
|