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, 0.15, 0.2, 0.18, and 0.27, respectively. Describe the trend in yield. (Round your answers to 3 decimal places.) 2001 8.61 2002 8.14 2003 7.37 2004 6.49 2005 7.57 2006 6.88 2007 6.91 2008 6.71 2009 5.48 2010 5.77 2011 5.94 2012 5.29 2013 5.53 The weighted moving averages are: There is a regular of approximately 0.3 per year.

Explanation / Answer

Weighted moving average for 2005 = 0.2*8.61 + 0.15*8.14 + 0.2*7.37 + 0.18*6.49 + 0.27*7.57 = 7.6291

Weighted moving average for 2006 = 0.2*8.14 + 0.15*7.37+ 0.2*6.49 + 0.18*7.57 + 0.27*6.88 = 7.2517

Weighted moving average for 2007 = 0.2*7.37 + 0.15*6.49+ 0.2*7.57 + 0.18*6.88 + 0.27*6.91 = 7.0656

Weighted moving average for 2008 = 0.2*6.49 + 0.15*7.57+ 0.2*6.88  + 0.18*6.91 + 0.27*6.71 = 6.865

Weighted moving average for 2009 = 0.2*7.57 + 0.15*6.88+ 0.2*6.91 + 0.18*6.71 + 0.27*5.48 = 6.6154

Weighted moving average for 2010 = 0.2*6.88+ 0.15*6.91+ 0.2*6.71 + 0.18*5.48 + 0.27*5.77 = 6.2988

Weighted moving average for 2011 = 0.2*6.91+ 0.15*6.71+ 0.2*5.48 + 0.18*5.77 + 0.27*5.94 = 6.1269

Weighted moving average for 2012 = 0.2*6.71+ 0.15*5.48+ 0.2*5.77 + 0.18*5.94 + 0.27*5.29 = 5.8155

Weighted moving average for 2013 = 0.2*5.48+ 0.15*5.77+ 0.2*5.94 + 0.18*5.29 + 0.27*5.53 = 5.5948

Year Average Weighted Moving Average 2001 8.61 2002 8.14 2003 7.37 2004 6.49 2005 7.57 7.6291 2006 6.88 7.2517 2007 6.91 7.0656 2008 6.71 6.865 2009 5.48 6.6154 2010 5.77 6.2988 2011 5.94 6.1269 2012 5.29 5.8155 2013 5.53 5.5948

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