Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.00266550545066502 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 94.4 | 93.2521472993231 | 1.14785270067694 |
14 | 91.6 | 90.5624448098591 | 1.03755519014086 |
15 | 104.1 | 102.736553825929 | 1.36344617407069 |
16 | 107.8 | 106.373149925774 | 1.42685007422614 |
17 | 101.7 | 100.393222884547 | 1.30677711545265 |
18 | 104.1 | 102.810804963789 | 1.28919503621117 |
19 | 102 | 105.230476018688 | -3.23047601868819 |
20 | 99.9 | 96.0768616729606 | 3.82313832703942 |
21 | 101.6 | 98.4534987745024 | 3.14650122549762 |
22 | 101.3 | 101.302297634027 | -0.00229763402687411 |
23 | 101 | 98.9694678509629 | 2.03053214903707 |
24 | 115.9 | 116.32460174805 | -0.42460174805035 |
25 | 97.5 | 96.7043025037459 | 0.795697496254064 |
26 | 97.6 | 93.830664828116 | 3.76933517188395 |
27 | 109.2 | 106.637623958855 | 2.562376041145 |
28 | 101.6 | 110.425686891911 | -8.82568689191102 |
29 | 108.8 | 104.14641500276 | 4.65358499723993 |
30 | 108.8 | 106.60828106498 | 2.19171893501967 |
31 | 100.9 | 104.467070293261 | -3.5670702932606 |
32 | 107.4 | 102.291352570228 | 5.10864742977157 |
33 | 101.7 | 104.032202830454 | -2.33220283045445 |
34 | 104.5 | 103.714062510482 | 0.785937489517934 |
35 | 106.1 | 103.398609312223 | 2.70139068777731 |
36 | 116.7 | 118.656461981702 | -1.95646198170176 |
37 | 103.7 | 99.8077427046948 | 3.89225729530519 |
38 | 96.5 | 99.9052605519148 | -3.40526055191484 |
39 | 114.1 | 111.756920382788 | 2.34307961721173 |
40 | 102.8 | 104.002289894913 | -1.20228989491251 |
41 | 114.5 | 111.350842986932 | 3.14915701306784 |
42 | 107.2 | 111.348170830133 | -4.14817083013297 |
43 | 107.9 | 103.257736137863 | 4.64226386213683 |
44 | 111.3 | 109.903287651437 | 1.39671234856303 |
45 | 99.8 | 104.075598079335 | -4.27559807933481 |
46 | 106.7 | 106.922456868161 | -0.222456868160691 |
47 | 106.9 | 108.546662167426 | -1.64666216742572 |
48 | 115.3 | 119.386366840906 | -4.08636684090563 |
49 | 106.1 | 106.061860860838 | 0.0381391391618422 |
50 | 97.3 | 98.7027387281705 | -1.40273872817052 |
51 | 109 | 116.688583064684 | -7.68858306468448 |
52 | 109.8 | 105.112592714857 | 4.68740728514253 |
53 | 116.5 | 117.07596896076 | -0.575968960760491 |
54 | 108.3 | 109.616616228123 | -1.31661622812338 |
55 | 110.8 | 110.311049545818 | 0.488950454181904 |
56 | 108.7 | 113.779815043796 | -5.079815043796 |
57 | 104 | 102.018452403595 | 1.98154759640501 |
58 | 111.3 | 109.073611826041 | 2.22638817395861 |
59 | 106.5 | 109.283949203132 | -2.78394920313227 |
60 | 120.5 | 117.869221412878 | 2.63077858712181 |
61 | 110 | 108.46613213309 | 1.53386786690974 |
62 | 99.7 | 99.4733423014578 | 0.226657698542198 |
63 | 109 | 111.450390819853 | -2.45039081985253 |
64 | 112.2 | 112.243872929157 | -0.0438729291567626 |
65 | 116 | 119.089620372031 | -3.08962037203098 |
66 | 112.3 | 110.698786642197 | 1.60121335780346 |
67 | 113.2 | 113.252639654221 | -0.052639654221295 |
68 | 109.9 | 111.114796364953 | -1.21479636495289 |
69 | 107.6 | 106.297529321422 | 1.30247067857771 |
70 | 114.9 | 113.751793033747 | 1.14820696625257 |
71 | 105.7 | 108.852060665842 | -3.15206066584237 |
72 | 123.3 | 123.139557506607 | 0.160442493393049 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 112.401297764786 | 106.570923191143 | 118.231672338429 |
74 | 101.871854650296 | 96.0414631240422 | 107.70224617655 |
75 | 111.376642778917 | 105.54622334494 | 117.207062212893 |
76 | 114.642082520327 | 108.811638720307 | 120.472526320348 |
77 | 118.528400781255 | 112.697930409898 | 124.358871152612 |
78 | 114.738890417032 | 108.908407051886 | 120.569373782179 |
79 | 115.654129156693 | 109.823623471417 | 121.48463484197 |
80 | 112.281553247678 | 106.45103608187 | 118.112070413485 |
81 | 109.923915727143 | 104.093385187776 | 115.75444626651 |
82 | 117.373953109002 | 111.543377807929 | 123.204528410075 |
83 | 107.980108963921 | 102.149547636394 | 113.810670291448 |
84 | 125.954558242797 | 93.8697384771853 | 158.039378008408 |