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:
Answer:
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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