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1. For the data of Exercise:
a. Obtain the centered moving average for N 5 4; for N 5 12.
b. When N 5 12 months, the centered moving average is relatively smooth compared to when N 5 4. Aside from the fact that it includes a greater number of months at a time, is there any other reason why the moving average with N 5 12 should be so smooth?
2. The following data describe the monthly volume for an urban courier service. Data are in thousands of pieces handled.
J
F
M
A
2007
4.5
4.7
5.0
4.4
2008
5.4
4.9
5.3
5.6
2009
5.8
6.6
6.5
6.2
6.7
S
O
N
D
4.6
4.8
5.2
5.5
5.7
6.3
6.9
7.4
a. Construct a graph of the time series. Does the overall trend appear to be upward or downward?
b. Determine the three-month and five-month centered moving average curves and superimpose each on the original time series.
b. Determine the three-year and five-year centered moving average curves and superimpose each on the original time series.
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