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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