Find the typical seasonal indices for four quarters by finding the means and adj

Question

Find the typical seasonal indices for four quarters by finding the means and adjusting if necessary.

For a time series data the following is the table of specific seasonal indicies:

Year/Quarter        I                      II                   III               IV

2006                     1.12              0.67               1.35            0.80

2007                     1.15              0.70               1.30            0.82

2008                     1.20             0.62                1.40            0.78

2009                     1.30             0.68                1.33            0.75

2010                     1.23             0.73                1.42            0.70

Explanation / Answer

from above:

adding all quarterly indices and dividing by 5: and then multiplying by correction factor:

Year Quarter sales 4-Qtr Moving Averages Centrd Moving averages 2006 1 1.12 2 0.67 0.985 3 1.35 0.9925 0.98875 1.36536 4 0.8 1 0.99625 0.803011 2007 1 1.15 0.9875 0.99375 1.157233 2 0.7 0.9925 0.99 0.707071 3 1.3 1.005 0.99875 1.301627 4 0.82 0.985 0.995 0.824121 2008 1 1.2 1.01 0.9975 1.203008 2 0.62 1 1.005 0.616915 3 1.4 1.025 1.0125 1.382716 4 0.78 1.04 1.0325 0.755448 2009 1 1.3 1.0225 1.03125 1.260606 2 0.68 1.015 1.01875 0.667485 3 1.33 0.9975 1.00625 1.321739 4 0.75 1.01 1.00375 0.747198 2010 1 1.23 1.0325 1.02125 1.204406 2 0.73 1.02 1.02625 0.711328 3 1.42 4 0.7

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