The Table Mountain Cable Car Company recorded the following data on the number of tourists (in thousands) who visited Table Mountain, Cape Town, in each quarter of 2009 and 2010:
|
Season
|
Seasonal index
|
2009
|
2010
|
|
Winter
|
62
|
18.1
|
22.4
|
|
Spring
|
89
|
26.4
|
33.2
|
|
Summer
|
162
|
41.2
|
44.8
|
|
Autumn
|
87
|
31.6
|
32.5
|
(a) Plot the quarterly number of tourists to Table Mountain for 2009 and 2010.
(b) Calculate the de-seasonalised values for each quarter and plot on the same axis. Comment on the trend in the number of tourists visiting Table Mountain.
(c) If the projected total number of tourists to visit Table Mountain in 2011 is 150 (in thousands), how many visitors can the Cable Car Company expect to carry in each quarter of 2011?