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. (Round your intermediate calculations and final answers to 3 decimal places.)
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. (Negative values should be indicated by a minus sign. Round your intermediate calculations and final answers to 3 decimal places.)
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 |
|