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

ID: 3202222 • Letter: L

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 0.1, 0.15, 0.25 0.1, and 0.4, respectively. Describe the trend in yield. (Round your answers to 3 decimal places.) 8.61 2001 8.14 2002 2003 7.97 6.79 2004 7.57 2005 6.68 2006 6.61 2007 6.81 2008 2009 5.48 5.77 2010 2011 5.74 5.29 2012 2013 5.23 The weighted moving averages are There is a regular (Click to select) of approximately 0.3 per year.

Explanation / Answer

The weighted moving average(WMA) for year 2005 would be given by,

WMA2005 = 0.1*8.61+0.15*8.14+0.25*7.97+0.1*6.79+0.4*7.57= 7.782

Similarly the rest of the moving average would be given by,

WMA2006 = 0.1*8.14+0.15*7.97+0.25*6.79+0.1*7.57+0.4*6.68= 7.136

WMA2007 = 0.1*7.97+0.15*6.79+0.25*7.57+0.1*6.68+0.4*6.61= 7.020

WMA2008 = 0.1*6.79+0.15*7.57+0.25*6.68+0.1*6.61+0.4*6.81= 6.870

WMA2009 = 0.1*7.57+0.15*6.68+0.25*6.61+0.1*6.81+0.4*5.48= 6.285

WMA2010 = 0.1*6.68+0.15*6.61+0.25*6.81+0.1*5.48+0.4*5.77= 6.218

WMA2011 = 0.1*6.61+0.15*6.81+0.25*5.48+0.1*5.77+0.4*5.74= 5.926

WMA2012 = 0.1*6.81+0.15*5.48+0.25*5.77+0.1*5.74+0.4*5.29= 5.636

WMA2013 = 0.1*5.48+0.15*5.77+0.25*5.74+0.1*5.29+0.4*5.23= 5.470

There is regular decrease of approximately 0.3per year

Year Values MA 2001 8.61 2002 8.14 2003 7.97 2004 6.79 2005 7.57 7.782 2006 6.68 7.136 2007 6.61 7.020 2008 6.81 6.870 2009 5.48 6.285 2010 5.77 6.218 2011 5.74 5.926 2012 5.29 5.636 2013 5.23 5.470

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

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

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