Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.435378644958913 |
beta | 0 |
gamma | 0.382502042123754 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 70.249 | 70.7213266559829 | -0.472326655982897 |
14 | 39.253 | 39.6707298598797 | -0.417729859879742 |
15 | 47.06 | 47.4463200095497 | -0.386320009549735 |
16 | 41.697 | 41.8418353372948 | -0.144835337294772 |
17 | 38.708 | 38.5389879344245 | 0.169012065575487 |
18 | 49.267 | 48.9471163218731 | 0.319883678126878 |
19 | 39.018 | 39.9350143208905 | -0.917014320890452 |
20 | 32.228 | 35.0510183451432 | -2.82301834514322 |
21 | 40.87 | 39.7760222533639 | 1.09397774663606 |
22 | 39.383 | 35.6066526123329 | 3.77634738766715 |
23 | 34.571 | 31.1669210975595 | 3.40407890244052 |
24 | 12.066 | 12.3869868341272 | -0.320986834127234 |
25 | 70.938 | 71.0438556667499 | -0.105855666749918 |
26 | 34.077 | 40.1646037190586 | -6.08760371905856 |
27 | 45.409 | 45.4784354191852 | -0.0694354191852398 |
28 | 40.809 | 40.0640686905277 | 0.744931309472328 |
29 | 37.013 | 37.2163879383318 | -0.203387938331844 |
30 | 44.953 | 47.4949648810314 | -2.54196488103145 |
31 | 37.848 | 36.9697437293317 | 0.878256270668274 |
32 | 32.745 | 32.455732788504 | 0.289267211495989 |
33 | 43.412 | 39.3817083941949 | 4.03029160580512 |
34 | 34.931 | 37.0700553120875 | -2.13905531208749 |
35 | 33.008 | 29.974485399536 | 3.03351460046402 |
36 | 8.62 | 10.2287172959361 | -1.60871729593615 |
37 | 68.906 | 68.371397409674 | 0.534602590326045 |
38 | 39.556 | 36.4791162337516 | 3.07688376624843 |
39 | 50.669 | 47.0827067912627 | 3.58629320873729 |
40 | 36.432 | 43.435844061486 | -7.00384406148601 |
41 | 40.891 | 37.0097045979986 | 3.88129540200137 |
42 | 48.428 | 48.5616057325946 | -0.133605732594653 |
43 | 36.222 | 39.8235938543359 | -3.60159385433592 |
44 | 33.425 | 33.2319485635792 | 0.193051436420781 |
45 | 39.401 | 40.9239785044995 | -1.5229785044995 |
46 | 37.967 | 34.8621636244443 | 3.10483637555565 |
47 | 34.801 | 31.1667859964305 | 3.63421400356955 |
48 | 12.657 | 10.6799722339767 | 1.97702776602326 |
49 | 69.116 | 70.8466994435275 | -1.73069944352753 |
50 | 41.519 | 38.5172076067364 | 3.00179239326356 |
51 | 51.321 | 49.198121540898 | 2.12287845910204 |
52 | 38.529 | 42.6269798164402 | -4.09797981644024 |
53 | 41.547 | 39.8168423303364 | 1.73015766966364 |
54 | 52.073 | 49.5650905681124 | 2.50790943188758 |
55 | 38.401 | 41.2281606757658 | -2.82716067576583 |
56 | 40.898 | 35.793212123716 | 5.10478787628404 |
57 | 40.439 | 45.2530982565119 | -4.81409825651187 |
58 | 41.888 | 38.7578638434065 | 3.13013615659347 |
59 | 37.898 | 35.1878302621392 | 2.71016973786079 |
60 | 8.771 | 13.9408068009522 | -5.16980680095217 |
61 | 68.184 | 70.1952013857282 | -2.01120138572821 |
62 | 50.53 | 38.7656556773786 | 11.7643443226214 |
63 | 47.221 | 53.0717795905147 | -5.85077959051474 |
64 | 41.756 | 41.6855659996199 | 0.0704340003800539 |
65 | 45.633 | 41.9489628561337 | 3.68403714386628 |
66 | 48.138 | 52.7158586231759 | -4.57785862317593 |
67 | 39.486 | 40.1417278336604 | -0.655727833660372 |
68 | 39.341 | 37.3652283496613 | 1.97577165033875 |
69 | 41.117 | 43.3206374909453 | -2.20363749094525 |
70 | 41.629 | 39.6776488912375 | 1.95135110876252 |
71 | 29.722 | 35.5036978206959 | -5.78169782069586 |
72 | 7.054 | 8.8576673234992 | -1.8036673234992 |
73 | 56.676 | 67.2597674412836 | -10.5837674412836 |
74 | 34.87 | 35.0729979096539 | -0.20299790965386 |
75 | 35.117 | 40.3644790288423 | -5.24747902884235 |
76 | 30.169 | 30.5197271390595 | -0.35072713905954 |
77 | 30.936 | 31.3801850410275 | -0.444185041027488 |
78 | 35.699 | 38.5654291363627 | -2.86642913636274 |
79 | 33.228 | 27.583476161472 | 5.64452383852799 |
80 | 27.733 | 28.1182935552999 | -0.385293555299906 |
81 | 33.666 | 32.1431232605948 | 1.52287673940519 |
82 | 35.429 | 31.0199273674352 | 4.40907263256484 |
83 | 27.438 | 26.2459183010314 | 1.19208169896859 |
84 | 8.17 | 3.49525303904242 | 4.67474696095758 |
85 | 63.41 | 62.8216885158797 | 0.588311484120339 |
86 | 38.04 | 37.7409261284097 | 0.299073871590295 |
87 | 45.389 | 42.1615479378563 | 3.22745206214368 |
88 | 37.353 | 37.0641457965685 | 0.288854203431491 |
89 | 37.024 | 38.1828797638392 | -1.15887976383923 |
90 | 50.957 | 44.5338318369546 | 6.42316816304544 |
91 | 37.994 | 39.4344716288755 | -1.44047162887547 |
92 | 36.454 | 35.5823807411857 | 0.871619258814306 |
93 | 46.08 | 40.5665487337653 | 5.51345126623468 |
94 | 43.373 | 41.8040920958771 | 1.56890790412287 |
95 | 37.395 | 35.0987662183865 | 2.29623378161354 |
96 | 10.963 | 13.5809723056863 | -2.61797230568633 |
97 | 76.058 | 68.8497708967732 | 7.20822910322683 |
98 | 50.179 | 46.588712965787 | 3.59028703421296 |
99 | 57.452 | 53.0746970884692 | 4.37730291153076 |
100 | 47.568 | 47.8432699359838 | -0.275269935983808 |
101 | 50.05 | 48.4037309013366 | 1.64626909866343 |
102 | 50.856 | 57.6134708391524 | -6.75747083915241 |
103 | 41.992 | 45.0772408653798 | -3.08524086537979 |
104 | 39.284 | 41.0083921200526 | -1.72439212005261 |
105 | 44.521 | 45.8648031836572 | -1.3438031836572 |
106 | 43.832 | 43.2649460146367 | 0.567053985363344 |
107 | 41.153 | 36.2805140480341 | 4.87248595196591 |
108 | 17.1 | 14.8230500178881 | 2.27694998211193 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 74.3451463782489 | 67.5532424464129 | 81.1370503100848 |
110 | 48.1644167434617 | 40.7567110722731 | 55.5721224146502 |
111 | 53.2572374535669 | 45.2811326647223 | 61.2333422424115 |
112 | 45.1152154168553 | 36.6086066980826 | 53.621824135628 |
113 | 46.2105155543868 | 37.2045988222617 | 55.2164322865118 |
114 | 52.8885592736557 | 43.4095993899111 | 62.3675191574003 |
115 | 44.0874749762706 | 34.1579823019539 | 54.0169676505874 |
116 | 41.6557751178209 | 31.2953229529306 | 52.0162272827113 |
117 | 47.3451450300364 | 36.5709576661258 | 58.119332393947 |
118 | 45.7430366407311 | 34.5704246970395 | 56.9156485844228 |
119 | 39.4415605455057 | 27.8842510862937 | 50.9988700047177 |
120 | 15.3021653398827 | 3.37255737366436 | 27.2317733061011 |