Question: that the life expectancy is normally distributed and use = 0.05). QUESTION 3 (36 MARKS) The following data represents the sales (R100 000) of a

that the life expectancy is normally distributed and use = 0.05). 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 Quarterly sales Quarterly sales Quarterly sales
Year I II III IV
1990 24 19 25 38
1991 27 22 24 4o
1992 31 23 23 41
1993 35 24 21 48

Use the data provided above to determine the following:

3.1) Represent the time serie. [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] TOTAL MARK:

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