Answer:
The exponential smoothing forecast for period 13 = 39.68
Step-by-step explanation:
As given,
[tex]\alpha[/tex] = 0.4
Time Sales forcast
1 48
2 41 48
3 37 48 + [tex]\alpha {(41 - 48)}[/tex] = 45.2
4 32 45.2 + [tex]\alpha {(37 - 45.2)}[/tex] = 41.92
5 36 41.92 + [tex]\alpha {(32 - 41.92)}[/tex] = 37.95
6 31 37.95 + [tex]\alpha {(36 - 37.95)}[/tex] = 37.17
7 43 37.17 + [tex]\alpha {(31 - 37.17)}[/tex] = 34.70
8 52 34.70 + [tex]\alpha {(43 - 34.70)}[/tex] = 38.02
9 60 38.02 + [tex]\alpha {(52 - 38.02)}[/tex] = 43.61
10 48 43.61 + [tex]\alpha {(60 - 43.61)}[/tex] = 50.17
11 41.9 50.17 + [tex]\alpha {(48 - 50.17)}[/tex] = 49.30
12 29.7 49.30 + [tex]\alpha {(41.9 - 49.30)}[/tex] = 46.34
13 46.34 + [tex]\alpha {(29.7 - 46.34)}[/tex] = 39.68
∴ we get
The exponential smoothing forecast for period 13 = 39.68