Final answer:
To compute the moving averages, you calculate the average of a certain number of data points. For a four-week moving average, it would be the average of the current week and the previous three weeks. For a five-week moving average, it would be the average of the current week and the previous four weeks.
Step-by-step explanation:
To compute the four-week and five-week moving averages for a time series, you need to calculate the average of a certain number of data points. For the four-week moving average, you would calculate the average of the current week and the previous three weeks. Similarly, for the five-week moving average, you would calculate the average of the current week and the previous four weeks. Here's an example:
Let's say the time series data is: 10, 12, 15, 14, 16, 13, 17, 19, 18, 20
The four-week moving averages would be: (10+12+15+14)/4 = 12.75, (12+15+14+16)/4 = 14.25, (15+14+16+13)/4 = 14.50, (14+16+13+17)/4 = 15.00, (16+13+17+19)/4 = 16.25, (13+17+19+18)/4 = 16.75, (17+19+18+20)/4 = 18.50
The five-week moving averages would be: (10+12+15+14+16)/5 = 13.40, (12+15+14+16+13)/5 = 14.00, (15+14+16+13+17)/5 = 15.00, (14+16+13+17+19)/5 = 15.80, (16+13+17+19+18)/5 = 16.60, (13+17+19+18+20)/5 = 17.40