# Listed below is the number of

Listed below is the number of movie tickets sold at the LibraryCinema-Complex, in thousands, for the period from 2004 to 2016.Compute a five-year weighted moving average using weights of 0.1,0.1, 0.2, 0.3, and 0.3, respectively. Describe the trend in yield.(Round your answers to 3 decimal places.)

 2004 8.61 2005 8.14 2006 7.67 2007 6.59 2008 7.37 2009 6.88 2010 6.71 2011 6.61 2012 5.58 2013 5.87 2014 5.94 2015 5.49 2016 5.43

The weighted moving averages are:

Solution:

We have to compute a five-year weighted moving average usingweights of 0.1, 0.1, 0.2, 0.3, and 0.3, respectively and describethe trend in yield.

Thus we get:

 Year Sales Calculations WeightedMoving Averages 2004 8.61 2005 8.14 2006 7.67 2007 6.59 2008 7.37 2009 6.88 =0.1X8.61+ 0.1X8.14+ 0.2X7.67 + 0.3X6.59 + 0.3X7.37 7.397 2010 6.71 =0.1X8.14+ 0.1X7.67 + 0.2X6.59 + 0.3X7.37 + 0.3X6.88 7.174 2011 6.61 =0.1X7.67+ 0.1X6.59+ 0.2X7.37 + 0.3X6.88 + 0.3X6.71 6.977 2012 5.58 =0.1X6.59+ 0.1X7.37+ 0.2X6.88 + 0.3X6.71 + 0.3X6.61 6.768 2013 5.87 =0.1X7.37+ 0.1X6.88+ 0.2X6.71 + 0.3X6.61 + 0.3X5.58 6.424 2014 5.94 =0.1X6.88+ 0.1X6.71+ 0.2X6.61 + 0.3X5.58 + 0.3X5.87 6.116 2015 5.49 =0.1X6.71+ 0.1X6.61+ 0.2X5.58 + 0.3X5.87 + 0.3X5.94 5.991 2016 5.43 =0.1X6.61+ 0.1X5.58+ 0.2X5.87 + 0.3X5.94 + 0.3X5.49 5.822 2017 =0.1X5.58+ 0.1X5.87+ 0.2X5.94 + 0.3X5.43 + 0.3X5.43 5.609

There is downward trend in the number of movie tickets sold atthe Library Cinema-Complex from 2004 to 2016.

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