Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.980528379652785 |
beta | 0.0160501661027114 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 91 | 91 | 0 |
4 | 89 | 90 | -1 |
5 | 87 | 88.0037339769854 | -1.00373397698537 |
6 | 86 | 85.9880102762076 | 0.0119897237923539 |
7 | 87 | 84.9684211799255 | 2.03157882007453 |
8 | 89 | 85.9610687707171 | 3.03893122928288 |
9 | 90 | 87.9892796029368 | 2.0107203970632 |
10 | 90 | 89.0409445344081 | 0.95905546559193 |
11 | 91 | 89.0765154275679 | 1.92348457243213 |
12 | 93 | 90.0880075443606 | 2.91199245563938 |
13 | 93 | 92.1145875928878 | 0.88541240711217 |
14 | 87 | 92.1679826948873 | -5.16798269488729 |
15 | 89 | 86.2045202375728 | 2.79547976242723 |
16 | 92 | 88.093452983481 | 3.90654701651901 |
17 | 98 | 91.1332985474514 | 6.86670145254864 |
18 | 92 | 97.1837252426364 | -5.18372524263637 |
19 | 92 | 91.3367869571125 | 0.663213042887463 |
20 | 87 | 91.233375004965 | -4.23337500496511 |
21 | 92 | 86.2620961623845 | 5.73790383761552 |
22 | 98 | 91.1582402906265 | 6.84175970937348 |
23 | 101 | 97.2444196024472 | 3.75558039755281 |
24 | 102 | 100.363616499244 | 1.63638350075617 |
25 | 102 | 101.430633516597 | 0.569366483402618 |
26 | 90 | 101.460370553521 | -11.4603705535213 |
27 | 87 | 89.5142498014151 | -2.51424980141513 |
28 | 92 | 86.3004859678525 | 5.69951403214748 |
29 | 105 | 91.2302475960375 | 13.7697524039625 |
30 | 90 | 104.289810430865 | -14.2898104308645 |
31 | 88 | 89.6112876452237 | -1.61128764522371 |
32 | 83 | 87.3390583926643 | -4.3390583926643 |
33 | 98 | 82.3238859555427 | 15.6761140444573 |
34 | 109 | 97.1808632087944 | 11.8191367912056 |
35 | 118 | 108.441970165222 | 9.55802983477753 |
36 | 118 | 117.636418446224 | 0.363581553775873 |
37 | 115 | 117.82117116928 | -2.82117116928018 |
38 | 107 | 114.838784879478 | -7.83878487947842 |
39 | 101 | 106.813121947869 | -5.81312194786888 |
40 | 111 | 100.682194168279 | 10.3178058317213 |
41 | 128 | 110.530476815163 | 17.4695231848374 |
42 | 115 | 127.666150415617 | -12.6661504156166 |
43 | 111 | 115.053605452864 | -4.05360545286376 |
44 | 105 | 110.822111050179 | -5.8221110501789 |
45 | 120 | 104.764920412431 | 15.2350795875691 |
46 | 132 | 119.594667039892 | 12.4053329601077 |
47 | 135 | 131.844997497812 | 3.15500250218773 |
48 | 142 | 135.07476872476 | 6.92523127523967 |
49 | 139 | 142.110343081477 | -3.11034308147734 |
50 | 127 | 139.256802505168 | -12.2568025051683 |
51 | 113 | 127.242005704005 | -14.2420057040047 |
52 | 130 | 113.056525220477 | 16.9434747795226 |
53 | 143 | 129.715943747547 | 13.2840562524527 |
54 | 139 | 142.996258295498 | -3.99625829549785 |
55 | 137 | 139.26984233202 | -2.26984233201961 |
56 | 134 | 137.200504246708 | -3.20050424670845 |
57 | 139 | 134.16825734777 | 4.83174265222991 |
58 | 157 | 139.087896728296 | 17.9121032717041 |
59 | 152 | 157.11509520546 | -5.11509520545954 |
60 | 153 | 152.482972527761 | 0.517027472238595 |
61 | 147 | 153.381442767199 | -6.3814427671987 |
62 | 132 | 147.415338290273 | -15.4153382902734 |
63 | 117 | 132.34864177784 | -15.3486417778405 |
64 | 123 | 117.105791638283 | 5.89420836171654 |
65 | 139 | 122.78491987437 | 16.2150801256297 |
66 | 134 | 138.839142925832 | -4.83914292583214 |
67 | 134 | 134.172946058252 | -0.172946058251995 |
68 | 128 | 134.079365880996 | -6.07936588099551 |
69 | 118 | 128.098698553294 | -10.0986985532939 |
70 | 144 | 118.018031756888 | 25.9819682431125 |
71 | 140 | 143.724377661203 | -3.72437766120251 |
72 | 151 | 140.244195423178 | 10.7558045768224 |
73 | 144 | 151.13151382858 | -7.13151382858004 |
74 | 135 | 144.367575680335 | -9.36757568033548 |
75 | 122 | 135.263691862564 | -13.2636918625635 |
76 | 124 | 122.130816305498 | 1.869183694502 |
77 | 146 | 123.865571244251 | 22.134428755749 |
78 | 146 | 145.819317831951 | 0.180682168048605 |
79 | 147 | 146.249636362229 | 0.750363637771358 |
80 | 148 | 147.250352696254 | 0.74964730374569 |
81 | 132 | 148.262164326352 | -16.262164326352 |
82 | 161 | 132.337483721372 | 28.6625162786283 |
83 | 159 | 160.913807855458 | -1.91380785545789 |
84 | 173 | 159.479059605118 | 13.5209403948821 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 173.391307784884 | 154.584681314348 | 192.19793425542 |
86 | 174.045890187874 | 147.498913051365 | 200.592867324384 |
87 | 174.700472590865 | 142.035915484475 | 207.365029697255 |
88 | 175.355054993855 | 137.400367725492 | 213.309742262218 |
89 | 176.009637396846 | 133.281752146574 | 218.737522647117 |
90 | 176.664219799836 | 129.520925825548 | 223.807513774124 |
91 | 177.318802202826 | 126.023700576816 | 228.613903828837 |
92 | 177.973384605817 | 122.729025355153 | 233.217743856481 |
93 | 178.627967008807 | 119.594750086864 | 237.66118393075 |
94 | 179.282549411798 | 116.590388314421 | 241.974710509174 |
95 | 179.937131814788 | 113.693086674405 | 246.18117695517 |
96 | 180.591714217778 | 110.885220549797 | 250.29820788576 |