A rental car manager estimates the number of full-size sedans rented per week so that she can maintain adequate number of cars in the lot. Data for the past 10 weeks are shown here:
Week
|
Rental
|
Week
|
Rental
|
1
|
23
|
6
|
28
|
2
|
24
|
7
|
32
|
3
|
32
|
8
|
35
|
4
|
26
|
9
|
26
|
5
|
31
|
10
|
24
|
a) Prepare a forecast through week 11 by using a five –week moving average
b) Prepare a forecast through week 11 by using a 3-period weighted moving average, giving the weight of 0.5 to the most recent week, 0.3 to the second week and 0.2 to the third week.
c) Prepare a forecast using exponential smoothing method with α = 0.2. Forecast for week 1 was 22.
Prepare a forecast through week 11 by using a regression model Y= 26.33 + 0.3212X
d) Which method is preferred for this data if mean absolute deviation (MAD) is used?
e) Make a recommendation for number of full-size sedans for a week.