Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0844128060248295 |
beta | 0 |
gamma | 0.573960908312786 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 9.829 | 9.74615224358974 | 0.0828477564102599 |
14 | 9.125 | 9.03742858058912 | 0.0875714194108816 |
15 | 9.782 | 9.68764532190376 | 0.0943546780962379 |
16 | 9.441 | 9.35772632378469 | 0.0832736762153079 |
17 | 9.162 | 9.07545528053662 | 0.0865447194633777 |
18 | 9.915 | 9.81962702189442 | 0.0953729781055834 |
19 | 10.444 | 10.5044189813365 | -0.060418981336511 |
20 | 10.209 | 9.72285177099266 | 0.486148229007341 |
21 | 9.985 | 10.0019634992218 | -0.0169634992217613 |
22 | 9.842 | 9.80777282139371 | 0.0342271786062884 |
23 | 9.429 | 9.17123662565677 | 0.257763374343225 |
24 | 10.132 | 10.0230697474501 | 0.108930252549895 |
25 | 9.849 | 10.1551685431218 | -0.306168543121766 |
26 | 9.172 | 9.41608926077168 | -0.244089260771682 |
27 | 10.313 | 10.0418742722257 | 0.271125727774344 |
28 | 9.819 | 9.72105382320114 | 0.0979461767988656 |
29 | 9.955 | 9.44174029694933 | 0.513259703050666 |
30 | 10.048 | 10.2265715967451 | -0.178571596745112 |
31 | 10.082 | 10.806368697415 | -0.724368697414983 |
32 | 10.541 | 10.2559828504901 | 0.285017149509907 |
33 | 10.208 | 10.2537256629586 | -0.0457256629585885 |
34 | 10.233 | 10.0840083676595 | 0.148991632340467 |
35 | 9.439 | 9.57463054881125 | -0.135630548811246 |
36 | 9.963 | 10.3150427046877 | -0.352042704687689 |
37 | 10.158 | 10.1900903894399 | -0.0320903894398921 |
38 | 9.225 | 9.50677017484429 | -0.281770174844288 |
39 | 10.474 | 10.4001257111182 | 0.0738742888818429 |
40 | 9.757 | 9.971646911039 | -0.214646911038995 |
41 | 10.49 | 9.8841984585335 | 0.605801541466505 |
42 | 10.281 | 10.3132763382556 | -0.0322763382555777 |
43 | 10.444 | 10.6186001114933 | -0.174600111493323 |
44 | 10.64 | 10.6450653992841 | -0.00506539928406902 |
45 | 10.695 | 10.4445124585428 | 0.25048754145724 |
46 | 10.786 | 10.4021254817184 | 0.383874518281599 |
47 | 9.832 | 9.76300262603202 | 0.0689973739679779 |
48 | 9.747 | 10.4069609748898 | -0.659960974889772 |
49 | 10.411 | 10.4241549579517 | -0.0131549579517465 |
50 | 9.511 | 9.61122359826276 | -0.100223598262765 |
51 | 10.402 | 10.7067991598434 | -0.304799159843419 |
52 | 9.701 | 10.0947343328063 | -0.393734332806311 |
53 | 10.54 | 10.4233235064905 | 0.116676493509521 |
54 | 10.112 | 10.4757958594659 | -0.363795859465917 |
55 | 10.915 | 10.6783423946209 | 0.236657605379103 |
56 | 11.183 | 10.8286155000941 | 0.354384499905901 |
57 | 10.384 | 10.7927006812139 | -0.408700681213894 |
58 | 10.834 | 10.7647661347396 | 0.0692338652604256 |
59 | 9.886 | 9.93361209457797 | -0.0476120945779677 |
60 | 10.216 | 10.184651292418 | 0.0313487075819623 |
61 | 10.943 | 10.6001045089251 | 0.342895491074923 |
62 | 9.867 | 9.77147281606674 | 0.0955271839332603 |
63 | 10.203 | 10.7760654898354 | -0.57306548983542 |
64 | 10.837 | 10.0946191145426 | 0.742380885457431 |
65 | 10.573 | 10.7873375969434 | -0.214337596943441 |
66 | 10.647 | 10.559374491307 | 0.087625508693014 |
67 | 11.502 | 11.1155718262249 | 0.38642817377511 |
68 | 10.656 | 11.3403542940199 | -0.68435429401992 |
69 | 10.866 | 10.8157467657126 | 0.0502532342873607 |
70 | 10.835 | 11.0777137915992 | -0.242713791599188 |
71 | 9.945 | 10.1588235071015 | -0.213823507101477 |
72 | 10.331 | 10.4373271236528 | -0.10632712365285 |
73 | 10.718 | 11.004880078885 | -0.286880078885012 |
74 | 9.462 | 9.99309243285041 | -0.531092432850407 |
75 | 10.579 | 10.593437409713 | -0.0144374097130218 |
76 | 10.633 | 10.650428277033 | -0.017428277033039 |
77 | 10.346 | 10.7762428032309 | -0.430242803230918 |
78 | 10.757 | 10.688739544656 | 0.0682604553439639 |
79 | 11.207 | 11.4003263853516 | -0.193326385351639 |
80 | 11.013 | 11.0134619028521 | -0.000461902852087803 |
81 | 11.015 | 10.9326281762673 | 0.0823718237327036 |
82 | 10.765 | 11.0433489522367 | -0.278348952236703 |
83 | 10.042 | 10.1366327735722 | -0.0946327735721741 |
84 | 10.661 | 10.481688174035 | 0.179311825964991 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 10.9784701039662 | 10.4054152064729 | 11.5515250014594 |
86 | 9.86256246915506 | 9.28746953814213 | 10.437655400168 |
87 | 10.7792464794324 | 10.2021227118911 | 11.3563702469737 |
88 | 10.8358843145717 | 10.2567368317825 | 11.4150317973609 |
89 | 10.7462313297643 | 10.1650671786149 | 11.3273954809136 |
90 | 10.9570151477604 | 10.3738413020325 | 11.5401889934884 |
91 | 11.5253731022822 | 10.9401964639061 | 12.1105497406583 |
92 | 11.256180299173 | 10.6690076994536 | 11.8433528988923 |
93 | 11.2189156189245 | 10.6297538197375 | 11.8080774181115 |
94 | 11.1331203295315 | 10.5419760244915 | 11.7242646345715 |
95 | 10.3464452870513 | 9.75332510265248 | 10.93956547145 |
96 | 10.8434498764596 | 10.2483603731903 | 11.4385393797289 |