Listed below is the number of movie tickets sold at the Library Cinema-Complex,

Question

Listed below is the number of movie tickets sold at the Library Cinema-Complex, in thousands, for the period from 2001 to 2013. Compute a five-year weighted moving average using weights of 0.2, 0.1, 0.3, 0.11, and 0.29, respectively. Describe the trend in yield. (Round your answers to 3 decimal places.)

  2001 8.61
  2002 8.04
  2003 7.47
  2004 6.49
  2005 7.47
  2006 6.58
  2007 6.71
  2008 6.61
  2009 5.48
  2010 5.87
  2011 5.84
  2012 5.49
  2013 5.23

The weighted moving averages are:

  
  
  
  
  
  
  
  
  
  

  There is a regular
(Click to select)
increase
decrease
of approximately 0.3 per year.

Explanation / Answer

as weighted moving average forecast Ft=0.2At-1+0.1At-2+0.3At-3+0.11At-4+0.29At-5

where At is actual value in period t.

  There is a regular decrease
of approximately 0.3 per year

weighted year actual Average 2001 8.61 2002 8.04 2003 7.47 2004 6.49 2005 7.47 2006 6.58 7.765 2007 6.71 7.163 2008 6.61 7.121 2009 5.48 6.671 2010 5.87 6.660 2011 5.84 6.351 2012 5.49 6.072 2013 5.23 5.963

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