Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.507538951709474 |
beta | 0 |
gamma | 0.316699583294714 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 108.3 | 104.712606837607 | 3.58739316239314 |
14 | 117.2 | 115.391157460426 | 1.80884253957353 |
15 | 128.7 | 127.854524364578 | 0.845475635422034 |
16 | 116.5 | 116.395611706751 | 0.104388293248519 |
17 | 131.7 | 131.706401689486 | -0.00640168948643804 |
18 | 139.9 | 140.098461440524 | -0.198461440524142 |
19 | 107.4 | 109.688876720188 | -2.28887672018791 |
20 | 96.1 | 91.5599914868404 | 4.54000851315962 |
21 | 126.5 | 131.238698172837 | -4.73869817283702 |
22 | 116.4 | 118.520599794203 | -2.12059979420323 |
23 | 109.8 | 105.1604549888 | 4.63954501119981 |
24 | 148 | 153.993846991336 | -5.9938469913356 |
25 | 111.4 | 111.556542791833 | -0.156542791833047 |
26 | 117 | 120.057513401611 | -3.05751340161088 |
27 | 141.7 | 129.900766282489 | 11.799233717511 |
28 | 120 | 123.885730900139 | -3.88573090013902 |
29 | 132.1 | 137.154100919848 | -5.05410091984791 |
30 | 146.7 | 142.954302631973 | 3.74569736802681 |
31 | 122.5 | 114.220506354416 | 8.27949364558442 |
32 | 99.6 | 102.520528762305 | -2.9205287623046 |
33 | 122.7 | 136.96559459093 | -14.2655945909298 |
34 | 139 | 119.820549597154 | 19.179450402846 |
35 | 117.8 | 118.325337055661 | -0.525337055660643 |
36 | 125.5 | 162.878942924713 | -37.3789429247132 |
37 | 134.5 | 105.422878892173 | 29.0771211078274 |
38 | 121.3 | 128.308630848297 | -7.00863084829719 |
39 | 126.7 | 138.463628818224 | -11.7636288182242 |
40 | 117.7 | 118.043261158769 | -0.343261158768897 |
41 | 123 | 132.927350988526 | -9.92735098852626 |
42 | 132.1 | 137.626624447194 | -5.52662444719371 |
43 | 113.1 | 104.893864557244 | 8.20613544275611 |
44 | 89.2 | 91.4098745866224 | -2.20987458662238 |
45 | 121.7 | 124.446223565186 | -2.7462235651862 |
46 | 105.3 | 118.363871156228 | -13.0638711562278 |
47 | 85.3 | 97.4307148153924 | -12.1307148153925 |
48 | 105.3 | 130.346369649142 | -25.0463696491416 |
49 | 72.2 | 89.5142014622703 | -17.3142014622703 |
50 | 92.1 | 83.2265366120973 | 8.8734633879027 |
51 | 97.2 | 100.70071605547 | -3.50071605547025 |
52 | 78.6 | 86.2552442429667 | -7.65524424296666 |
53 | 78.1 | 95.9334620242341 | -17.8334620242341 |
54 | 93 | 97.3064232073737 | -4.30642320737367 |
55 | 81 | 67.3347545406728 | 13.6652454593272 |
56 | 65.9 | 54.9969716142461 | 10.9030283857539 |
57 | 88.6 | 94.6049794499028 | -6.00497944990276 |
58 | 85.7 | 85.2595183876001 | 0.44048161239995 |
59 | 76.3 | 71.325884218525 | 4.97411578147496 |
60 | 96.8 | 110.908552786833 | -14.1085527868327 |
61 | 76.8 | 76.83367873335 | -0.0336787333500439 |
62 | 85.6 | 83.4008383268934 | 2.19916167310657 |
63 | 119.2 | 95.5576453166867 | 23.6423546833133 |
64 | 91.4 | 94.2403897805504 | -2.84038978055037 |
65 | 95.7 | 104.774916421671 | -9.07491642167062 |
66 | 112.3 | 112.702887510599 | -0.402887510598873 |
67 | 95.2 | 87.5153164001653 | 7.68468359983467 |
68 | 82.8 | 71.7113639010069 | 11.0886360989931 |
69 | 111.3 | 108.77656463271 | 2.52343536729045 |
70 | 108.2 | 104.764854630367 | 3.43514536963312 |
71 | 97 | 93.058204564181 | 3.94179543581896 |
72 | 124.4 | 129.140755207049 | -4.74075520704864 |
73 | 99.3 | 102.015551762753 | -2.71555176275263 |
74 | 117.6 | 107.569795051985 | 10.0302049480151 |
75 | 131.5 | 127.045489281538 | 4.45451071846219 |
76 | 114.2 | 111.85934821271 | 2.34065178729038 |
77 | 116.8 | 124.051104714273 | -7.2511047142726 |
78 | 116.5 | 134.257240068885 | -17.7572400688854 |
79 | 105.4 | 101.523014507491 | 3.87698549250885 |
80 | 89.2 | 84.3173948528739 | 4.88260514712614 |
81 | 115.8 | 116.896945516208 | -1.0969455162077 |
82 | 111.4 | 111.1899435012 | 0.210056498800185 |
83 | 106.4 | 97.9254534737437 | 8.47454652625633 |
84 | 128.4 | 134.954402077284 | -6.55440207728441 |
85 | 107.7 | 107.224557404104 | 0.475442595895942 |
86 | 111 | 116.386210994251 | -5.38621099425119 |
87 | 129.8 | 127.167876049812 | 2.63212395018779 |
88 | 130.5 | 110.727120603045 | 19.7728793969553 |
89 | 142.9 | 130.27046010149 | 12.6295398985096 |
90 | 159.9 | 148.92823690651 | 10.9717630934899 |
91 | 84.1 | 134.14922109766 | -50.0492210976596 |
92 | 75 | 89.7307897431289 | -14.7307897431289 |
93 | 100.7 | 111.423194595418 | -10.7231945954184 |
94 | 106.8 | 101.034339134997 | 5.76566086500257 |
95 | 97.4 | 91.8784828428191 | 5.5215171571809 |
96 | 113 | 125.064705996125 | -12.0647059961253 |
97 | 76.9 | 95.6345575510029 | -18.7345575510029 |
98 | 87.3 | 94.132191363217 | -6.83219136321699 |
99 | 103.7 | 105.430522286813 | -1.73052228681313 |
100 | 92.1 | 89.4488640219172 | 2.65113597808282 |
101 | 92.9 | 99.188160807849 | -6.28816080784898 |
102 | 112.2 | 107.985917095431 | 4.21408290456938 |
103 | 88.7 | 80.2601478909746 | 8.43985210902545 |
104 | 74.6 | 71.0355400030087 | 3.56445999699127 |
105 | 101.5 | 102.638530120805 | -1.13853012080475 |
106 | 119.7 | 99.6859035382187 | 20.0140964617813 |
107 | 120.7 | 97.7236061203972 | 22.9763938796028 |
108 | 153.5 | 137.026072900488 | 16.4739270995119 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 121.040147599197 | 98.1790013535041 | 143.901293844889 |
110 | 130.902618431973 | 105.265539595728 | 156.539697268218 |
111 | 146.464220175568 | 118.323722403767 | 174.604717947369 |
112 | 132.044242479154 | 101.605526697544 | 162.482958260764 |
113 | 139.043792018234 | 106.468598664663 | 171.618985371806 |
114 | 152.670987976973 | 118.091065686553 | 187.250910267393 |
115 | 123.465467851647 | 86.9908351708323 | 159.940100532462 |
116 | 109.19692934921 | 70.9212630220346 | 147.472595676385 |
117 | 138.257328450069 | 98.2616482285979 | 178.25300867154 |
118 | 139.181560614857 | 97.5368461847272 | 180.826275044987 |
119 | 127.523336107765 | 84.2924438713563 | 170.754228344173 |
120 | 154.15024894258 | 109.389352535729 | 198.911145349432 |