The table below shows the number of new cars by quarters during a period of 3 years.

YearQuarter 1Quarter 2Quarter 3Quarter 4

201855.076.561.277.8

201954.465.952.781.4

202059.383.278.593.0

Required:

i) Compute the Four points moving averages and centre them(6 marks)

ii) Plot a graph of the time series series(4 marks)

iii) Super impose the trend line over the time series graph(4 marks)

iv) Comment on the general direction of the trend(2 marks0

iii) Assuming an additive model completely decompose the time series(4 marks)