A Caribbean cruise line booked the number of passengers (in thousands) described below for each quar- ter from 2005 through 2009.
|
|
I
|
II
|
III
|
IV
|
|
2005
|
27
|
23
|
21
|
24
|
|
2006
|
32
|
26
|
18
|
29
|
|
2007
|
28
|
25
|
16
|
30
|
|
2008
|
37
|
31
|
21
|
34
|
|
2009
|
38
|
33
|
23
|
39
|
a. Combining the quarterly bookings for each year, fit a linear trend equation and forecast the number of bookings for 2013.
b. Determine the seasonal indexes and break the 2013 forecast in part (a) into its quarterly components.
c. Combining the quarterly bookings for each year, use exponential smoothing, with a 5 0.3, to forecast the number of bookings for 2010.
d. Use the seasonal indexes to break the 2010 forecast in part (c) into its quarterly components.