Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0.432015235872734 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 112 | 113.387857793709 | -1.38785779370852 |
14 | 113 | 112.927073783159 | 0.0729262168412532 |
15 | 149 | 149.043505980836 | -0.0435059808360734 |
16 | 157 | 157.095249460890 | -0.095249460890301 |
17 | 157 | 157.095519289391 | -0.0955192893914898 |
18 | 147 | 147.043274160734 | -0.043274160733688 |
19 | 137 | 135.316709557186 | 1.68329044281415 |
20 | 132 | 132.968509499453 | -0.968509499452836 |
21 | 125 | 127.102166225199 | -2.1021662251992 |
22 | 123 | 122.177831576290 | 0.822168423710437 |
23 | 117 | 118.220013167857 | -1.22001316785700 |
24 | 114 | 112.157090642521 | 1.84290935747875 |
25 | 111 | 109.017543423488 | 1.98245657651211 |
26 | 112 | 111.916570237376 | 0.0834297626242346 |
27 | 144 | 147.721620291083 | -3.72162029108301 |
28 | 150 | 151.811910439922 | -1.81191043992195 |
29 | 149 | 150.075689261063 | -1.07568926106282 |
30 | 134 | 139.533919002382 | -5.53391900238236 |
31 | 123 | 123.323179263295 | -0.323179263294890 |
32 | 116 | 119.350423394794 | -3.35042339479357 |
33 | 117 | 111.661430062584 | 5.33856993741581 |
34 | 111 | 114.340650102666 | -3.34065010266555 |
35 | 105 | 106.660214202392 | -1.66021420239208 |
36 | 102 | 100.627396667060 | 1.37260333293960 |
37 | 95 | 97.5160407698656 | -2.51604076986555 |
38 | 93 | 95.7485135048482 | -2.74851350484822 |
39 | 124 | 122.605792185775 | 1.39420781422534 |
40 | 130 | 130.678554356048 | -0.678554356048267 |
41 | 124 | 130.019032037267 | -6.01903203726678 |
42 | 115 | 116.067184132535 | -1.06718413253455 |
43 | 106 | 105.794173449147 | 0.205826550853416 |
44 | 105 | 102.814175981993 | 2.18582401800698 |
45 | 105 | 101.045923950786 | 3.95407604921364 |
46 | 101 | 102.584877892230 | -1.58487789222956 |
47 | 95 | 97.027048397838 | -2.02704839783799 |
48 | 93 | 91.0193183541763 | 1.98068164582367 |
49 | 84 | 88.8899137796488 | -4.88991377964878 |
50 | 87 | 84.6329745012355 | 2.36702549876446 |
51 | 116 | 114.674478047256 | 1.32552195274377 |
52 | 120 | 122.225211922499 | -2.22521192249881 |
53 | 117 | 119.990703425369 | -2.99070342536878 |
54 | 109 | 109.496498368977 | -0.496498368977143 |
55 | 105 | 100.258697928889 | 4.74130207111078 |
56 | 107 | 101.841455545946 | 5.15854445405408 |
57 | 109 | 102.976015971113 | 6.02398402888674 |
58 | 109 | 106.503468629042 | 2.49653137095846 |
59 | 108 | 104.733581041481 | 3.26641895851873 |
60 | 107 | 103.509820160926 | 3.49017983907439 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 102.308333542208 | 96.819429944689 | 107.797237139727 |
62 | 103.133610463014 | 95.3302552717974 | 110.936965654231 |
63 | 136.001266842365 | 124.316650915753 | 147.685882768978 |
64 | 143.359906637913 | 129.848042135511 | 156.871771140314 |
65 | 143.416785436193 | 128.797127305835 | 158.036443566552 |
66 | 134.293126366769 | 119.51308930069 | 149.073163432849 |
67 | 123.593611567894 | 108.894567638771 | 138.292655497017 |
68 | 119.927841497958 | 104.612405020897 | 135.243277975019 |
69 | 115.451977828743 | 99.6855754390117 | 131.218380218474 |
70 | 112.824133767499 | 96.4323023235536 | 129.215965211444 |
71 | 108.417432505592 | 91.7001157424877 | 125.134749268697 |
72 | 103.910892581333 | 81.0390277227304 | 126.782757439935 |