Question

Sales data of: 2006 - 17,000 2007 - 17,500 2008 - 18,200 2009 - 19,000 2010...

Sales data of:
2006 - 17,000
2007 - 17,500
2008 - 18,200
2009 - 19,000
2010 - 19,500
2011 - 20,100
2012 - 20,500
2013 - 21,000

Show Exponential Smoothing of the data with a smoothing constant of 45%
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Answer #1

Using exponential smoothing, list all terms for the time series [17000,17500,18200,19000,19500,20100,20500,21000 using a 0.45 S117000 s2ax2-1(1 - a)s2-1 S2 :045(%) + (1-045s1 s,-0.45(%) + (0.55)s1 S2 0.45(17500) + (0.55)17000 s2 7875 9350 S217225 S3-09-1 + (1 -a)S3-1 S3 0.45(x2)+(1-0.45)s2 S30.45(x2)(0.55)s2 S30.45(18200) + (0.55)17225 S381909473.75 S317663.75 StaXt-1(1 - a)st-1 s,-0.45%) + (1-045)S3 s,-0.45(%) + (0.55)s3 S40.45(19000) + (0.55)17663.75 S4- 8550 + 9715.0625 S4 18265.0625StaXt-1(1- a)st-1 s5-0.45(%) + (1-045)S4 S5-045(%) (0.55)s4 0.45(19500)+ (0.55)18265.0625 S5877510045.784375 S5 18820.784375

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