In: Statistics and Probability
QUESTION E
The sales of a factory, manufacturing bicyles, over the last 24 months were as follows:
MONTH | UNITS SOLD |
1 | 1140 |
2 | 1180 |
3 | 1130 |
4 | 1180 |
5 | 1110 |
6 | 1200 |
7 | 1280 |
8 | 1340 |
9 | 1340 |
10 | 1240 |
11 | 1140 |
12 | 1230 |
13 | 1440 |
14 | 1530 |
15 | 1560 |
16 | 1350 |
17 | 1350 |
18 | 1420 |
19 | 1530 |
20 | 1530 |
21 | 1430 |
22 | 1430 |
23 | 1490 |
24 | 1570 |
It is obvious that the monthly sales are increasing, but it is also obvious to the production manager that he is getting close to his capacity. In fact, should demand exceed 1 600 units a month, the factory would have to be expanded to meet the requirements.
Investigate the possibility, by conventional forecasting methods (in other words, the moving averages) that the figure of 1 600 units will be exceeded in any of the next six months.
Hello
The excel forecasting moving averages output :
Timeline | Values | Moving Average | Forecast | Lower Confidence Bound | Upper Confidence Bound |
1 | 1140 | ||||
2 | 1180 | 1160 | |||
3 | 1130 | 1155 | |||
4 | 1180 | 1155 | |||
5 | 1110 | 1145 | |||
6 | 1200 | 1155 | |||
7 | 1280 | 1240 | |||
8 | 1340 | 1310 | |||
9 | 1340 | 1340 | |||
10 | 1240 | 1290 | |||
11 | 1140 | 1190 | |||
12 | 1230 | 1185 | |||
13 | 1440 | 1335 | |||
14 | 1530 | 1485 | |||
15 | 1560 | 1545 | |||
16 | 1350 | 1455 | |||
17 | 1350 | 1350 | |||
18 | 1420 | 1385 | |||
19 | 1530 | 1475 | |||
20 | 1530 | 1530 | |||
21 | 1430 | 1480 | |||
22 | 1430 | 1430 | |||
23 | 1490 | 1460 | |||
24 | 1570 | 1530 | 1570 | 1570 | 1570 |
25 | 1617 | 1664 | 1542 | 1786 | |
26 | 1699 | 1735 | 1612 | 1858 | |
27 | 1699 | 1663 | 1539 | 1787 | |
28 | 1649 | 1635 | 1510 | 1760 | |
29 | 1592 | 1549 | 1423 | 1675 | |
30 | 1593 | 1638 | 1511 | 1765 |
And the corresponding Chart: ( I recommend you to first download it and then view it.)
I hope this solves your doubt.
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