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Hillstone SA manufactures and sells tyres to the passenger vehicle market in southern Africa. The quarterly sales (in 1 000s of units) are shown in the table below. The marketing department wishes to apply time series analysis to estimate future quarterly passenger vehicle tyre sales for 2012 and 2013.

Year

Quarter

Tyressold

2005

Jan-Mar

64 876

 

Apr-Jun

58 987

 

Jul-Sep

54 621

 

Oct-Dec

62 345

2006

Jan-Mar

68 746

 

Apr-Jun

66 573

 

Jul-Sep

60 927

 

Oct-Dec

71 234

2007

Jan-Mar

78 788

 

Apr-Jun

71 237

 

Jul-Sep

68 098

 

Oct-Dec

74 444

2008

Jan-Mar

77 659

 

Apr-Jun

76 452

 

Jul-Sep

73 456

 

Oct-Dec

78 908

2009

Jan-Mar

84 563

 

Apr-Jun

81 243

 

Jul-Sep

74 878

 

Oct-Dec

86 756

2010

Jan-Mar

91 556

 

Apr-Jun

85 058

 

Jul-Sep

77 035

 

Oct-Dec

80 145

2011

Jan-Mar

102 923

Apr-Jun

96 456

(a) Use Excel to develop a time series model that Hillstone can use to prepare seasonally adjusted trend forecasts of passenger vehicle tyre sales on a quarterly basis.

(b) Prepare seasonally adjusted trend forecast estimates for 2012 and 2013 on a quarterly basis.

(c) What confidence could the Hillstone management have in the estimates produced? Comment briefly.

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