Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.899894829794702 |
beta | 0.0367668330068828 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 101.02 | 100.748809589115 | 0.271190410884529 |
14 | 100.92 | 100.897429082051 | 0.0225709179485989 |
15 | 100.93 | 100.930523322077 | -0.000523322077455646 |
16 | 100.98 | 100.984065600126 | -0.00406560012635282 |
17 | 101.07 | 101.076369548473 | -0.00636954847259119 |
18 | 101.1 | 101.105971457559 | -0.00597145755864403 |
19 | 101.11 | 101.073969095001 | 0.0360309049988103 |
20 | 101.19 | 101.173163363777 | 0.0168366362230614 |
21 | 101.31 | 101.301780811795 | 0.00821918820517453 |
22 | 101.52 | 101.603797585223 | -0.0837975852225412 |
23 | 101.61 | 101.622199803509 | -0.012199803508679 |
24 | 101.65 | 101.657654661848 | -0.00765466184797958 |
25 | 101.66 | 101.692822685321 | -0.0328226853214488 |
26 | 101.56 | 101.539538940355 | 0.0204610596447452 |
27 | 101.75 | 101.56574961352 | 0.184250386480002 |
28 | 101.83 | 101.78891893194 | 0.0410810680596683 |
29 | 101.98 | 101.927170936442 | 0.0528290635583204 |
30 | 102.06 | 102.017076579367 | 0.0429234206327891 |
31 | 102.07 | 102.041324319674 | 0.0286756803261312 |
32 | 102.1 | 102.140595139757 | -0.0405951397574711 |
33 | 102.42 | 102.223811519706 | 0.196188480294452 |
34 | 102.91 | 102.701101400211 | 0.208898599789322 |
35 | 103.14 | 103.013260485946 | 0.126739514054023 |
36 | 103.23 | 103.201249966746 | 0.0287500332541981 |
37 | 103.23 | 103.294790340069 | -0.0647903400693224 |
38 | 102.91 | 103.142669476174 | -0.232669476174379 |
39 | 103.11 | 102.975936222171 | 0.134063777828885 |
40 | 103.14 | 103.156603778684 | -0.016603778684356 |
41 | 103.26 | 103.259965205152 | 3.47948476502324e-05 |
42 | 103.3 | 103.314663268191 | -0.0146632681908869 |
43 | 103.32 | 103.296339436013 | 0.0236605639871499 |
44 | 103.44 | 103.3956625227 | 0.0443374772997629 |
45 | 103.54 | 103.594321978194 | -0.0543219781939115 |
46 | 103.98 | 103.855988932136 | 0.124011067863805 |
47 | 104.24 | 104.087140859979 | 0.152859140020695 |
48 | 104.29 | 104.292729172898 | -0.00272917289824193 |
49 | 104.29 | 104.351371211177 | -0.0613712111765068 |
50 | 103.98 | 104.186655542399 | -0.206655542399147 |
51 | 103.98 | 104.084111559321 | -0.104111559321225 |
52 | 103.89 | 104.03122802091 | -0.141228020909637 |
53 | 103.86 | 104.016443630516 | -0.156443630515682 |
54 | 103.88 | 103.915562747973 | -0.0355627479728184 |
55 | 103.88 | 103.867996957045 | 0.0120030429547455 |
56 | 104.31 | 103.944696590862 | 0.365303409137681 |
57 | 104.41 | 104.419271921475 | -0.00927192147514688 |
58 | 104.8 | 104.739309950255 | 0.0606900497453182 |
59 | 104.89 | 104.912452312856 | -0.0224523128559184 |
60 | 104.9 | 104.934480894305 | -0.0344808943053465 |
61 | 104.9 | 104.947437019134 | -0.0474370191338807 |
62 | 104.54 | 104.768878862816 | -0.228878862815691 |
63 | 104.67 | 104.645372465128 | 0.0246275348724083 |
64 | 104.87 | 104.697312810235 | 0.17268718976463 |
65 | 105.04 | 104.96718894469 | 0.072811055309856 |
66 | 105.09 | 105.095484612094 | -0.00548461209437789 |
67 | 105.1 | 105.090782821092 | 0.00921717890848583 |
68 | 105.46 | 105.212477291118 | 0.247522708882187 |
69 | 105.83 | 105.551829577676 | 0.278170422324422 |
70 | 106.27 | 106.158460603016 | 0.111539396984128 |
71 | 106.46 | 106.388639759534 | 0.0713602404661486 |
72 | 106.52 | 106.515592489413 | 0.00440751058694389 |
73 | 106.53 | 106.585255121212 | -0.0552551212124541 |
74 | 105.96 | 106.401107177441 | -0.441107177440699 |
75 | 106 | 106.128769662583 | -0.128769662582741 |
76 | 106.15 | 106.068293477018 | 0.0817065229819463 |
77 | 106.32 | 106.254788048266 | 0.0652119517344261 |
78 | 106.41 | 106.376018657416 | 0.0339813425838855 |
79 | 106.41 | 106.416541153731 | -0.00654115373079378 |
80 | 106.81 | 106.5572687487 | 0.252731251299963 |
81 | 106.99 | 106.913575435641 | 0.0764245643592147 |
82 | 107.35 | 107.326793922501 | 0.0232060774986707 |
83 | 107.53 | 107.472972305883 | 0.0570276941169823 |
84 | 107.56 | 107.57864312296 | -0.0186431229599293 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 107.619188555343 | 107.374687986786 | 107.8636891239 |
86 | 107.443024185069 | 107.109031552746 | 107.777016817393 |
87 | 107.614320710663 | 107.20509077369 | 108.023550647637 |
88 | 107.709422296521 | 107.232843843701 | 108.186000749341 |
89 | 107.837143917784 | 107.297758160272 | 108.376529675297 |
90 | 107.910028405839 | 107.311166139047 | 108.508890672631 |
91 | 107.927480751377 | 107.271592132784 | 108.58336936997 |
92 | 108.114153428841 | 107.40183092546 | 108.826475932221 |
93 | 108.230141277231 | 107.462910151896 | 108.997372402567 |
94 | 108.574099762322 | 107.751188231105 | 109.39701129354 |
95 | 108.704398379924 | 107.827857762744 | 109.580938997104 |
96 | 108.749979216926 | 106.118703011101 | 111.381255422752 |