QUESTION 3 (36 MARKS) The following data represents the sales (R100 000) of a beer producer for each quarter from 1990 t

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QUESTION 3 (36 MARKS) The following data represents the sales
(R100 000) of a beer producer for each quarter from 1990 to 1993:
Quarterly sales Year I II III IV 1990 24 19 25 38 1991 27 22 24 40
1992 31 23 23 41 1993 35 24 21 48 Use the data provided above to
determine the following: 3.1) Represent the time series
graphically. [4 marks] 3.2) Determine the least squares trend line
equation for this data set, and represent it graphically. [8 marks]
3.3 ) Use the trend line equation obtained to estimate sales for
the first term or 1989 and the second term of 1994 [2+2 marks] 3.4)
Calculate centred four-quarterly moving averages and represent them
graphically. [8 marks] 3.5) Calculate the typical seasonal index
and represent these indices graphically on the same axes
constructed in Question 3.4. [12 marks]