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Fundamentals of Business Economics




               11.3 A company uses a combination of regression analysis and time series analysis to
                     predict its future sales volumes.  The following regression equation has been
                     found to be a reliable estimate of the company’s deseasonalised sales in units:

                     y = 5x + 60


                     Where y is the total sales units and x refers to the accountancy period. Quarterly
                     seasonal variations have been found to be:

                            Q1                     Q2                  Q3                 Q4


                            +15%                   –20%                –5%                +10%

                     What are the seasonally adjusted sales units for accounting period 16
                     (which is quarter 4)?

                     A     88 units

                     B     126 units

                     C     140 units


                     D     154 units


               11.4 A company uses a combination of regression analysis and time series analysis to
                     predict its future sales volumes. The following regression equation has been
                     found to be a reliable estimate of the company’s deseasonalised sales in units:

                     y = 9,800 + 45x

                     Where y is the total sales units and x refers to the accountancy period. Quarterly
                     seasonal variations (using an additive model) have been found to be:

                       Q1                    Q2                  Q3                 Q4


                       +1,000                +2,500              –1,300             ?


                     What are the seasonally adjusted sales units for accounting period 73
                     (which is quarter 4)?

                     A     10,285 units


                     B     10,885 units

                     C     13,085 units

                     D     15,285 units






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