Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.576574193139615 |
beta | 0.0775949269235273 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 33 | 32 | 1 |
4 | 35 | 29.6213134255223 | 5.37868657447773 |
5 | 33 | 30.0079028383044 | 2.99209716169564 |
6 | 32 | 29.1523105162847 | 2.84768948371533 |
7 | 33 | 28.3408598954159 | 4.65914010458409 |
8 | 38 | 28.7822913065292 | 9.21770869347083 |
9 | 45 | 32.2644689349243 | 12.7355310650757 |
10 | 42 | 38.344710042673 | 3.65528995732705 |
11 | 40 | 39.3530533270351 | 0.646946672964873 |
12 | 44 | 38.6558074070702 | 5.34419259292984 |
13 | 50 | 40.9059673377001 | 9.09403266229987 |
14 | 37 | 45.7250483213039 | -8.72504832130386 |
15 | 37 | 39.8797550999001 | -2.87975509990006 |
16 | 35 | 37.275869068672 | -2.27586906867203 |
17 | 33 | 34.9183475035118 | -1.91834750351177 |
18 | 40 | 32.6811382515635 | 7.31886174843652 |
19 | 38 | 36.0973057274589 | 1.90269427254107 |
20 | 39 | 36.4757758922433 | 2.52422410775669 |
21 | 52 | 37.3255359692222 | 14.6744640307778 |
22 | 48 | 45.8373350826336 | 2.16266491736636 |
23 | 49 | 47.2319096858088 | 1.76809031419118 |
24 | 50 | 48.478085758965 | 1.52191424103498 |
25 | 48 | 49.650412336267 | -1.65041233626705 |
26 | 45 | 48.9198190958463 | -3.91981909584634 |
27 | 42 | 46.7053747866886 | -4.70537478668856 |
28 | 39 | 43.827484482888 | -4.82748448288802 |
29 | 38 | 40.6632109294231 | -2.66321092942314 |
30 | 44 | 38.6276516411252 | 5.37234835887482 |
31 | 47 | 41.4655432075715 | 5.53445679242854 |
32 | 45 | 44.6445096618434 | 0.355490338156649 |
33 | 51 | 44.8533220762949 | 6.14667792370513 |
34 | 51 | 48.6761814522142 | 2.32381854778582 |
35 | 47 | 50.3988446260011 | -3.39884462600112 |
36 | 49 | 48.6699061981968 | 0.330093801803152 |
37 | 44 | 49.1057455789781 | -5.10574557897807 |
38 | 40 | 46.1789931168042 | -6.17899311680419 |
39 | 40 | 42.3569904125256 | -2.35699041252556 |
40 | 38 | 40.6332058918541 | -2.63320589185414 |
41 | 36 | 38.6323550437491 | -2.63235504374911 |
42 | 45 | 36.5142252286878 | 8.48577477131223 |
43 | 39 | 41.1861691904076 | -2.18616919040757 |
44 | 43 | 39.6071381417301 | 3.39286185826987 |
45 | 50 | 41.3966264535641 | 8.60337354643585 |
46 | 49 | 46.5752696662158 | 2.42473033378417 |
47 | 47 | 48.2999472277038 | -1.29994722770376 |
48 | 49 | 47.8189131883661 | 1.18108681163388 |
49 | 58 | 48.8212202657413 | 9.17877973425871 |
50 | 43 | 54.8454422464775 | -11.8454422464775 |
51 | 39 | 48.2176844089421 | -9.21768440894208 |
52 | 44 | 42.6926318015482 | 1.30736819845176 |
53 | 45 | 43.2945435586547 | 1.70545644134526 |
54 | 57 | 44.2022835352538 | 12.7977164647462 |
55 | 54 | 52.0780943958237 | 1.92190560417629 |
56 | 52 | 53.7691779661642 | -1.76917796616425 |
57 | 61 | 53.2529263409703 | 7.7470736590297 |
58 | 59 | 58.570097947003 | 0.429902052996979 |
59 | 60 | 59.6876107260741 | 0.312389273925866 |
60 | 58 | 60.7513447256887 | -2.75134472568875 |
61 | 52 | 59.9255157154338 | -7.92551571543377 |
62 | 49 | 55.7618117522549 | -6.76181175225493 |
63 | 60 | 51.9665511953874 | 8.03344880461264 |
64 | 51 | 57.0612663892899 | -6.06126638928986 |
65 | 52 | 53.7581561372117 | -1.75815613721171 |
66 | 56 | 52.8574496507286 | 3.1425503492714 |
67 | 56 | 54.9229593428538 | 1.07704065714616 |
68 | 57 | 55.8457354230655 | 1.15426457693446 |
69 | 58 | 56.8646777336588 | 1.13532226634119 |
70 | 100 | 57.9234918435086 | 42.0765081564914 |
71 | 70 | 84.4704078504149 | -14.4704078504149 |
72 | 70 | 77.7664364466141 | -7.76643644661405 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 74.5803375408205 | 59.7489347751166 | 89.4117403065244 |
74 | 75.8721654628035 | 58.41118596016 | 93.3331449654471 |
75 | 77.1639933847866 | 57.1023266232394 | 97.2256601463337 |
76 | 78.4558213067696 | 55.7929640809621 | 101.118678532577 |
77 | 79.7476492287526 | 54.4658323674277 | 105.029466090078 |
78 | 81.0394771507357 | 53.1101635675483 | 108.968790733923 |
79 | 82.3313050727187 | 51.7189780890904 | 112.943632056347 |
80 | 83.6231329947018 | 50.2876433831302 | 116.958622606273 |
81 | 84.9149609166848 | 48.8130488404555 | 121.016872992914 |
82 | 86.2067888386678 | 47.2931059936543 | 125.120471683681 |
83 | 87.4986167606509 | 45.7264319469421 | 129.27080157436 |
84 | 88.7904446826339 | 44.1121414956871 | 133.468747869581 |