In: Statistics and Probability
The sales of vacuum cleaners at Lowenthal’s Industrial Supply over the last thirteen months are given below.
| 
 Month  | 
 Sales  | 
 Month  | 
 Sales  | 
| 
 1  | 
 12  | 
 8  | 
 14  | 
| 
 2  | 
 14  | 
 9  | 
 17  | 
| 
 3  | 
 16  | 
 10  | 
 12  | 
| 
 4  | 
 10  | 
 11  | 
 14  | 
| 
 5  | 
 15  | 
 12  | 
 16  | 
| 
 6  | 
 17  | 
 13  | 
 11  | 
| 
 7  | 
 11  | 
a) Use a weighted moving average for three periods to forecast sales for next month. Use a weight of 3 for the most recent period, 2 for the middle period, and 1 for the third previous period. What is the forecasted number of vacuum sales for next month?
b) Use a weighted moving average for three periods to forecast sales for next month. Use a weight of 4 for the most recent period, 3 for the middle period and 2 for the third previous period. What is the forecasted number of vacuum sales for next month?
c) Which forecast of sales should Lowenthal use and why?
a)




MAD = 2.73
MSE = 9.63
MAPE = 21.55%
b)




MAD = 2.54
MSE = 8.45
MAPE = 20.04%
c)
MSE part a > MSE part b
Part b forecast of sales should Lowenthal use