Question

Forecasting method

Use the moving average method to forecast period 105.

Use the exponential smoothing method to forecast period 105.

Use the time-series decomposition method to forecast period 105.

Comparing the three methods, which one fits this situation best?

The larger the parameter (n) is set, the more historical data are taken into account by the moving average.
You can choose different parameter (n) to extrapolate to compare the prediction effect.
In general, the parameter (n) should not be taken too large.

Moving average.

950
850
750
Moni
650
01/
550
450
1
4
7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 8 91 94

1530
2570
3560
4530
5510
6560
7610
8560
9580
10610
11650
12700
13670
14700
15760
16730
17760
18820
19780
20900
21840
22770
23820
24800
25760
26760
27770
28790
29760
30740
31720
32670
33690
34470
35670
36690
37620
38650
39610
40620
41640
42590
43610
44600
45630
46600
47630
48640
49610
50590
51610
52630
53660
54640
55810
56790
57820
58650
59710
60700
61670
62690
63730
64730
65760
66790
67810
68870
69890
70870
71890
72880
73930
74980
75900
76860
77890
78880
79870
80840
81860
82910
83870
84860
85840
86540
87780
88750
89780
90760
91710
92730
93750
94750
95710
96750
97720
98770
99740
100750
101760
102780
103800
104850
105

Exponential smoothing

same

1530
2570
3560
4530
5510
6560
7610
8560
9580
10610
11650
12700
13670
14700
15760
16730
17760
18820
19780
20900
21840
22770
23820
24800
25760
26760
27770
28790
29760
30740
31720
32670
33690
34470
35670
36690
37620
38650
39610
40620
41640
42590
43610
44600
45630
46600
47630
48640
49610
50590
51610
52630
53660
54640
55810
56790
57820
58650
59710
60700
61670
62690
63730
64730
65760
66790
67810
68870
69890
70870
71890
72880
73930
74980
75900
76860
77890
78880
79870
80840
81860
82910
83870
84860
85840
86540
87780
88750
89780
90760
91710
92730
93750
94750
95710
96750
97720
98770
99740
100750
101760
102780
103800
104850
105

Time-series decomposition

1530
2570
3560
4530
5510
6560
7610
8560
9580
10610
11650
12700
13670
14700
15760
16730
17760
18820
19780
20900
21840
22770
23820
24800
25760
26760
27770
28790
29760
30740
31720
32670
33690
34470
35670
36690
37620
38650
39610
40620
41640
42590
43610
44600
45630
46600
47630
48640
49610
50590
51610
52630
53660
54640
55810
56790
57820
58650
59710
60700
61670
62690
63730
64730
65760
66790
67810
68870
69890
70870
71890
72880
73930
74980
75900
76860
77890
78880
79870
80840
81860
82910
83870
84860
85840
86540
87780
88750
89780
90760
91710
92730
93750
94750
95710
96750
97720
98770
99740
100750
101760
102780
103800
104850
105


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