Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 96.3 | 95 | 1.30000000000000 |
4 | 83.3 | 96.3 | -13 |
5 | 96.9 | 83.3 | 13.6 |
6 | 103.4 | 96.9 | 6.5 |
7 | 99.3 | 103.4 | -4.10000000000001 |
8 | 103.8 | 99.3 | 4.5 |
9 | 113.4 | 103.8 | 9.6 |
10 | 111.5 | 113.4 | -1.90000000000001 |
11 | 114.2 | 111.5 | 2.70000000000000 |
12 | 90.6 | 114.2 | -23.6 |
13 | 90.8 | 90.6 | 0.200000000000003 |
14 | 96.4 | 90.8 | 5.60000000000001 |
15 | 90 | 96.4 | -6.4 |
16 | 92.1 | 90 | 2.09999999999999 |
17 | 97.2 | 92.1 | 5.10000000000001 |
18 | 95.1 | 97.2 | -2.10000000000001 |
19 | 88.5 | 95.1 | -6.6 |
20 | 91 | 88.5 | 2.5 |
21 | 90.5 | 91 | -0.5 |
22 | 75 | 90.5 | -15.5 |
23 | 66.3 | 75 | -8.7 |
24 | 66 | 66.3 | -0.299999999999997 |
25 | 68.4 | 66 | 2.40000000000001 |
26 | 70.6 | 68.4 | 2.19999999999999 |
27 | 83.9 | 70.6 | 13.3 |
28 | 90.1 | 83.9 | 6.19999999999999 |
29 | 90.6 | 90.1 | 0.5 |
30 | 87.1 | 90.6 | -3.5 |
31 | 90.8 | 87.1 | 3.7 |
32 | 94.1 | 90.8 | 3.3 |
33 | 99.8 | 94.1 | 5.7 |
34 | 96.8 | 99.8 | -3 |
35 | 87 | 96.8 | -9.8 |
36 | 96.3 | 87 | 9.3 |
37 | 107.1 | 96.3 | 10.8 |
38 | 115.2 | 107.1 | 8.10000000000001 |
39 | 106.1 | 115.2 | -9.1 |
40 | 89.5 | 106.1 | -16.6 |
41 | 91.3 | 89.5 | 1.80000000000000 |
42 | 97.6 | 91.3 | 6.3 |
43 | 100.7 | 97.6 | 3.10000000000001 |
44 | 104.6 | 100.7 | 3.89999999999999 |
45 | 94.7 | 104.6 | -9.9 |
46 | 101.8 | 94.7 | 7.1 |
47 | 102.5 | 101.8 | 0.700000000000003 |
48 | 105.3 | 102.5 | 2.80000000000000 |
49 | 110.3 | 105.3 | 5 |
50 | 109.8 | 110.3 | -0.5 |
51 | 117.3 | 109.8 | 7.5 |
52 | 118.8 | 117.3 | 1.5 |
53 | 131.3 | 118.8 | 12.5000000000000 |
54 | 125.9 | 131.3 | -5.40000000000001 |
55 | 133.1 | 125.9 | 7.19999999999999 |
56 | 147 | 133.1 | 13.9 |
57 | 145.8 | 147 | -1.19999999999999 |
58 | 164.4 | 145.8 | 18.6 |
59 | 149.8 | 164.4 | -14.6 |
60 | 137.7 | 149.8 | -12.1000000000000 |
61 | 151.7 | 137.7 | 14 |
62 | 156.8 | 151.7 | 5.10000000000002 |
63 | 180 | 156.8 | 23.2 |
64 | 180.4 | 180 | 0.400000000000006 |
65 | 170.4 | 180.4 | -10 |
66 | 191.6 | 170.4 | 21.2 |
67 | 199.5 | 191.6 | 7.9 |
68 | 218.2 | 199.5 | 18.7 |
69 | 217.5 | 218.2 | -0.699999999999989 |
70 | 205 | 217.5 | -12.5 |
71 | 194 | 205 | -11 |
72 | 199.3 | 194 | 5.30000000000001 |
73 | 219.3 | 199.3 | 20 |
74 | 211.1 | 219.3 | -8.20000000000002 |
75 | 215.2 | 211.1 | 4.09999999999999 |
76 | 240.2 | 215.2 | 25 |
77 | 242.2 | 240.2 | 2 |
78 | 240.7 | 242.2 | -1.5 |
79 | 255.4 | 240.7 | 14.7000000000000 |
80 | 253 | 255.4 | -2.40000000000001 |
81 | 218.2 | 253 | -34.8 |
82 | 203.7 | 218.2 | -14.5 |
83 | 205.6 | 203.7 | 1.90000000000001 |
84 | 215.6 | 205.6 | 10 |
85 | 188.5 | 215.6 | -27.1 |
86 | 202.9 | 188.5 | 14.4 |
87 | 214 | 202.9 | 11.1 |
88 | 230.3 | 214 | 16.3 |
89 | 230 | 230.3 | -0.300000000000011 |
90 | 241 | 230 | 11 |
91 | 259.6 | 241 | 18.6000000000000 |
92 | 247.8 | 259.6 | -11.8 |
93 | 270.3 | 247.8 | 22.5 |
94 | 289.7 | 270.3 | 19.4000000000000 |
95 | 322.7 | 289.7 | 33 |
96 | 315 | 322.7 | -7.69999999999999 |
97 | 320.2 | 315 | 5.19999999999999 |
98 | 329.5 | 320.2 | 9.30000000000001 |
99 | 360.6 | 329.5 | 31.1 |
100 | 382.2 | 360.6 | 21.6000000000000 |
101 | 435.4 | 382.2 | 53.2 |
102 | 464 | 435.4 | 28.6 |
103 | 468.8 | 464 | 4.80000000000001 |
104 | 403 | 468.8 | -65.8 |
105 | 351.6 | 403 | -51.4 |
106 | 252 | 351.6 | -99.6 |
107 | 188 | 252 | -64 |
108 | 146.5 | 188 | -41.5 |
109 | 152.9 | 146.5 | 6.4 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
110 | 152.9 | 114.429793770068 | 191.370206229933 |
111 | 152.9 | 98.4949126023395 | 207.305087397660 |
112 | 152.9 | 86.2676482321042 | 219.532351767896 |
113 | 152.9 | 75.959587540135 | 229.840412459865 |
114 | 152.9 | 66.878003761435 | 238.921996238565 |
115 | 152.9 | 58.6676244370268 | 247.132375562973 |
116 | 152.9 | 51.1174014302309 | 254.682598569769 |
117 | 152.9 | 44.089825204679 | 261.710174795321 |
118 | 152.9 | 37.4893813102025 | 268.310618689798 |
119 | 152.9 | 31.246526257014 | 274.553473742986 |
120 | 152.9 | 25.3087603277211 | 280.491239672279 |
121 | 152.9 | 19.6352964642083 | 286.164703535792 |