Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.715895076963664 |
beta | 0 |
gamma | 0.990005082021168 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | -1 | -2.91239316239316 | 1.91239316239316 |
14 | 0 | -0.689299333195945 | 0.689299333195945 |
15 | 3 | 2.53318764501435 | 0.466812354985652 |
16 | 0 | -0.570269375831298 | 0.570269375831298 |
17 | 8 | 7.52533797522378 | 0.474662024776218 |
18 | 8 | 7.51083382767033 | 0.489166172329673 |
19 | 8 | 5.29837979461261 | 2.70162020538739 |
20 | 8 | 9.04481071182932 | -1.04481071182932 |
21 | 11 | 7.77585684589279 | 3.22414315410721 |
22 | 13 | 12.2713593696986 | 0.728640630301447 |
23 | 5 | 7.89701058882804 | -2.89701058882804 |
24 | 12 | 8.96874261606209 | 3.03125738393791 |
25 | 13 | 11.7807157035141 | 1.21928429648594 |
26 | 9 | 13.1636024334441 | -4.16360243344406 |
27 | 11 | 12.8493430573329 | -1.84934305733293 |
28 | 7 | 8.1168606511552 | -1.11686065115520 |
29 | 12 | 14.9777688897305 | -2.97776888973049 |
30 | 11 | 12.4957659605931 | -1.49576596059315 |
31 | 10 | 9.48459537182584 | 0.515404628174158 |
32 | 13 | 10.6121842382125 | 2.38781576178749 |
33 | 14 | 13.0013394308575 | 0.99866056914247 |
34 | 10 | 15.2017316182060 | -5.20173161820597 |
35 | 13 | 5.56208859829139 | 7.43791140170861 |
36 | 12 | 15.6999565737289 | -3.69995657372891 |
37 | 13 | 13.1834415409131 | -0.183441540913101 |
38 | 17 | 12.0481044036421 | 4.95189559635794 |
39 | 15 | 18.9105060896457 | -3.91050608964569 |
40 | 6 | 12.9084691124501 | -6.90846911245007 |
41 | 9 | 15.0997844190741 | -6.09978441907414 |
42 | 6 | 10.7995819668727 | -4.79958196687273 |
43 | 11 | 5.98889829848031 | 5.01110170151969 |
44 | 12 | 10.8615788794307 | 1.13842112056930 |
45 | 13 | 11.9655774227417 | 1.03442257725828 |
46 | 11 | 12.4476161776176 | -1.4476161776176 |
47 | 16 | 9.05061912874011 | 6.94938087125989 |
48 | 16 | 15.7060545286148 | 0.293945471385197 |
49 | 19 | 17.0378280254382 | 1.96217197456183 |
50 | 14 | 18.8829172720305 | -4.88291727203047 |
51 | 15 | 16.2119386174891 | -1.21193861748908 |
52 | 12 | 11.2985697866030 | 0.701430213397018 |
53 | 14 | 19.1652295139376 | -5.16522951393758 |
54 | 16 | 15.8997721731816 | 0.100227826818426 |
55 | 13 | 17.3562432723403 | -4.35624327234029 |
56 | 13 | 14.4336369685910 | -1.43363696859104 |
57 | 15 | 13.6670606048898 | 1.33293939511016 |
58 | 12 | 13.6646946612886 | -1.66469466128865 |
59 | 13 | 12.4740762367539 | 0.525923763246066 |
60 | 12 | 12.6590471641812 | -0.659047164181242 |
61 | 15 | 13.7777921821201 | 1.22220781787992 |
62 | 10 | 13.1678585306438 | -3.16785853064381 |
63 | 8 | 12.7572009630589 | -4.75720096305892 |
64 | 11 | 5.84396056440337 | 5.15603943559663 |
65 | 8 | 15.2495651920529 | -7.24956519205291 |
66 | 13 | 11.9729327320262 | 1.02706726797375 |
67 | 9 | 12.8394728650157 | -3.83947286501575 |
68 | 8 | 11.1088477421315 | -3.10884774213148 |
69 | 8 | 9.92113821246912 | -1.92113821246912 |
70 | 6 | 6.7460636345231 | -0.7460636345231 |
71 | 8 | 6.82923362658582 | 1.17076637341418 |
72 | 6 | 7.14255297975992 | -1.14255297975992 |
73 | 12 | 8.44429034472116 | 3.55570965527884 |
74 | 16 | 8.27012576477607 | 7.72987423522393 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
75 | 15.2140745302603 | 8.58380906201755 | 21.8443399985031 |
76 | 14.4947415906877 | 6.34057769811172 | 22.6489054832636 |
77 | 16.7198966437353 | 7.28483663361315 | 26.1549566538574 |
78 | 20.9611218726291 | 10.3993830952203 | 31.5228606500379 |
79 | 19.7236006484856 | 8.14429606617856 | 31.3029052307927 |
80 | 20.9471347550606 | 8.43273252333356 | 33.4615369867876 |
81 | 22.3190955171362 | 8.93476767353233 | 35.7034233607401 |
82 | 20.8498620520723 | 6.64879869636945 | 35.0509254077752 |
83 | 22.0062731282231 | 7.03295789610755 | 36.9795883603386 |
84 | 20.8307900957378 | 5.12314426168875 | 36.5384359297869 |
85 | 24.2719338464477 | 7.86278681634483 | 40.6810808765506 |
86 | 22.7263019556079 | 5.64443803906907 | 39.8081658721467 |