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Unit 10: Time Series




                              Year              Production of steel in 000 Tons                 Notes
                              2003                          30
                              2004                          31
                              2005                          32
                              2006                          34
                              2007                          33
                              2008                          29

          13.  Seasonal index of the sale of woolen garments in a store is as follows:

                             Quarter                     Seasonal Index
                   January to March                              90
                   April to June                                 80
                   July to September                             71
                   October to December                          120

               If the total sales of woolen garments in the 1st Quarter is worth   45,000 how much worth
               of woolen garments should be kept in stock to meet the demand for remaining quarters,
               anticipating winter season.
          14.  An agricultural cooperative society wants to measure variation in its member farmer's
               wheat harvest over a period of 8 years. The volume harvested actually each year is given
               as below.
             Year             2000   2001   2002   2003   2004   2005   2006   2007
             Actual Production   7.5   7.8   8.2    8.2    8.4     8.5   8.7    9.1
             in (000) quintals

          Answers: Self  Assessment

          1.   long-term                         2.  quantified
          3.   seasonal influences               4.  secular trend

          5.   Seasonal Variations               6.  short-term
          7.   historical                        8.  Exponential  smoothing
          9.   Moving  average                   10.  median, mean
          11.  standard deviation                12.  variance

          13.  Mean Squared Error                14.  true value
          15.  error                             16.  seasonal variations
          17.  Link relatives                    18.  Ratio to trend

          10.10 Further Readings




           Books      Allan & Blumon,  Elementary Statistics: A  Step by Step Approach, McGraw-Hill
                      College, June 2003.



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