Listed below is the number of movie tickets sold at the Libr

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

Solution

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