Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.396545148452336 |
beta | 0.452593371751002 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 44.72 | 8.46899999999999 | 36.251 |
4 | 39.525 | -0.863740514877595 | 40.3887405148776 |
5 | 45.315 | -1.30696317064841 | 46.6219631706484 |
6 | 50.38 | 9.08898487836982 | 41.2910151216302 |
7 | 40.6 | 24.7816228415895 | 15.8183771584105 |
8 | 36.279 | 33.2121925704083 | 3.06680742959175 |
9 | 42.438 | 37.136600482444 | 5.30139951755601 |
10 | 38.064 | 42.8985868630186 | -4.83458686301862 |
11 | 31.879 | 43.77351579933 | -11.89451579933 |
12 | 11.379 | 39.7141113384508 | -28.3351113384508 |
13 | 70.249 | 24.049861042995 | 46.1991389570049 |
14 | 39.253 | 46.2333367686341 | -6.98033676863415 |
15 | 47.06 | 46.0759624905065 | 0.984037509493497 |
16 | 41.697 | 49.2534310512937 | -7.55643105129366 |
17 | 38.708 | 47.6880375554721 | -8.98003755547212 |
18 | 49.267 | 43.9464391889035 | 5.32056081109646 |
19 | 39.018 | 46.8305744902093 | -7.81257449020925 |
20 | 32.228 | 43.1046770082994 | -10.8766770082994 |
21 | 40.87 | 36.2116470091248 | 4.65835299087518 |
22 | 39.383 | 36.3150096613326 | 3.06799033866738 |
23 | 34.571 | 36.3383453149348 | -1.76734531493479 |
24 | 12.066 | 34.1270600608813 | -22.0610600608813 |
25 | 70.938 | 19.909020477475 | 51.028979522525 |
26 | 34.077 | 43.832841548624 | -9.75584154862399 |
27 | 45.409 | 41.9018196886384 | 3.50718031136162 |
28 | 40.809 | 45.8596314483995 | -5.05063144839954 |
29 | 37.013 | 45.5174289308376 | -8.50442893083758 |
30 | 44.953 | 42.2793184020367 | 2.67368159796332 |
31 | 37.848 | 43.9536889167836 | -6.10568891678356 |
32 | 32.745 | 41.0508320311488 | -8.30583203114877 |
33 | 43.412 | 35.7848406133159 | 7.62715938668412 |
34 | 34.931 | 38.205874202333 | -3.27487420233304 |
35 | 33.008 | 35.7160054542737 | -2.70800545427374 |
36 | 8.62 | 32.9649099838898 | -24.3449099838898 |
37 | 68.906 | 17.2645337828387 | 51.6414662171614 |
38 | 39.556 | 40.9644717271879 | -1.40847172718792 |
39 | 50.669 | 43.3749305136298 | 7.29406948637024 |
40 | 36.432 | 50.5454334785199 | -14.1134334785199 |
41 | 40.891 | 46.6939047943997 | -5.80290479439967 |
42 | 48.428 | 45.0964071132465 | 3.33159288675353 |
43 | 36.222 | 47.7190834926714 | -11.4970834926714 |
44 | 33.425 | 42.3980960156641 | -8.97309601566413 |
45 | 39.401 | 36.4675487330819 | 2.93345126691813 |
46 | 37.967 | 35.7849623798528 | 2.1820376201472 |
47 | 34.801 | 35.1960249683759 | -0.395024968375857 |
48 | 12.657 | 33.5142692952083 | -20.8572692952083 |
49 | 69.116 | 19.9749784947274 | 49.1410215052726 |
50 | 41.519 | 43.012691546968 | -1.49369154696803 |
51 | 51.321 | 45.7033764378256 | 5.61762356217442 |
52 | 38.529 | 52.2222345527635 | -13.6932345527634 |
53 | 41.547 | 48.6258900203414 | -7.07889002034141 |
54 | 52.073 | 46.3819570976163 | 5.69104290238374 |
55 | 38.401 | 50.2232716809576 | -11.8222716809576 |
56 | 40.898 | 44.9979794235232 | -4.09997942352317 |
57 | 40.439 | 42.0990861949048 | -1.66008619490481 |
58 | 41.888 | 39.8697789675071 | 2.01822103249286 |
59 | 37.898 | 39.4613042334551 | -1.56330423345506 |
60 | 8.771 | 37.3520210270772 | -28.5810210270772 |
61 | 68.184 | 19.3994515449509 | 48.7845484550491 |
62 | 50.53 | 40.8813669947111 | 9.64863300528891 |
63 | 47.221 | 48.5758009638906 | -1.35480096389059 |
64 | 41.756 | 51.6637254266796 | -9.90772542667963 |
65 | 45.633 | 49.5818529903989 | -3.94885299039888 |
66 | 48.138 | 49.1542272291666 | -1.01622722916661 |
67 | 39.486 | 49.7071339190346 | -10.2211339190346 |
68 | 39.341 | 44.7754547372586 | -5.43445473725858 |
69 | 41.117 | 40.7665682315723 | 0.350431768427676 |
70 | 41.629 | 39.1145436921694 | 2.51445630783057 |
71 | 29.722 | 38.7719313766108 | -9.04993137661081 |
72 | 7.054 | 32.2192925086636 | -25.1652925086636 |
73 | 56.676 | 14.7596770644358 | 41.9163229355642 |
74 | 34.87 | 31.4238285852788 | 3.4461714147212 |
75 | 35.117 | 33.4513253148913 | 1.66567468510873 |
76 | 30.169 | 35.071719512917 | -4.90271951291696 |
77 | 30.936 | 33.2075396191632 | -2.27153961916318 |
78 | 35.699 | 31.9790597136838 | 3.71994028631619 |
79 | 33.228 | 33.7941035652729 | -0.566103565272918 |
80 | 27.733 | 33.8079368167402 | -6.0749368167402 |
81 | 33.666 | 30.5469775457675 | 3.11902245423247 |
82 | 35.429 | 31.4916207370693 | 3.93737926293066 |
83 | 27.438 | 33.4674353979804 | -6.02943539798043 |
84 | 8.17 | 30.4088329448894 | -22.2388329448894 |
85 | 63.41 | 16.9311867741825 | 46.4788132258175 |
86 | 38.04 | 39.0449146558712 | -1.00491465587125 |
87 | 45.389 | 42.148844858354 | 3.24015514164605 |
88 | 37.353 | 47.5176595444879 | -10.1646595444879 |
89 | 37.024 | 45.7465708843946 | -8.72257088439456 |
90 | 50.957 | 42.9818633654651 | 7.97513663453493 |
91 | 37.994 | 48.2698780794211 | -10.2758780794211 |
92 | 36.454 | 44.4762915350704 | -8.02229153507041 |
93 | 46.08 | 40.1365634107763 | 5.94343658922373 |
94 | 43.373 | 42.4015676085685 | 0.971432391431527 |
95 | 37.395 | 42.8692942348557 | -5.47429423485573 |
96 | 10.963 | 39.7985073663269 | -28.8355073663269 |
97 | 76.058 | 22.2887294031957 | 53.7692705968043 |
98 | 50.179 | 47.1856456319359 | 2.99335436806409 |
99 | 57.452 | 52.4848470231247 | 4.96715297687525 |
100 | 47.568 | 59.458222028643 | -11.890222028643 |
101 | 50.05 | 57.6129045499403 | -7.56290454994026 |
102 | 50.856 | 56.1262213171197 | -5.27022131711971 |
103 | 41.992 | 54.6028243470976 | -12.6108243470976 |
104 | 39.284 | 47.9052354801887 | -8.62123548018867 |
105 | 44.521 | 41.2424136426581 | 3.27858635734186 |
106 | 43.832 | 39.8868284655507 | 3.9451715344493 |
107 | 41.153 | 39.5036289617185 | 1.64937103828151 |
108 | 17.1 | 38.5060596417788 | -21.4060596417788 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 24.52414628992 | -11.2998460462974 | 60.3481386261374 |
110 | 19.03070203649 | -22.3114535370013 | 60.3728576099813 |
111 | 13.5372577830599 | -35.8760505865816 | 62.9505661527014 |
112 | 8.04381352962984 | -51.6515640825839 | 67.7391911418436 |
113 | 2.55036927619978 | -69.2649428223015 | 74.365681374701 |
114 | -2.94307497723027 | -88.418532895291 | 82.5323829408304 |
115 | -8.43651923066034 | -108.895758245316 | 92.0227197839954 |
116 | -13.9299634840904 | -130.540981294406 | 102.681054326225 |
117 | -19.4234077375204 | -153.240231238947 | 114.393415763906 |
118 | -24.9168519909505 | -176.907552584158 | 127.073848602257 |
119 | -30.4102962443806 | -201.476067077743 | 140.655474588981 |
120 | -35.9037404978106 | -226.892203331706 | 155.084722336085 |