Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999936568776778 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | -7.1 | -5.3 | -1.8 |
3 | -8 | -7.0998858237982 | -0.900114176201799 |
4 | -8.9 | -7.99994290465676 | -0.900057095343236 |
5 | -7.7 | -8.89994290827747 | 1.19994290827747 |
6 | -1.1 | -7.70007611384647 | 6.60007611384647 |
7 | 4 | -1.10041865090126 | 5.10041865090126 |
8 | 9.6 | 3.99967647420603 | 5.60032352579397 |
9 | 10.9 | 9.59964476462832 | 1.30035523537168 |
10 | 13 | 10.8999175168768 | 2.1000824831232 |
11 | 14.9 | 12.9998667891992 | 1.90013321080077 |
12 | 20.1 | 14.8998794722262 | 5.20012052777385 |
13 | 10.8 | 20.099670149994 | -9.29967014999403 |
14 | 11 | 10.8005898894532 | 0.199410110546827 |
15 | 3.8 | 10.9999873511728 | -7.19998735117276 |
16 | 10.8 | 3.80045670400486 | 6.99954329599514 |
17 | 7.6 | 10.7995560104067 | -3.19955601040674 |
18 | 10.2 | 7.60020295175151 | 2.59979704824849 |
19 | 2.2 | 10.1998350916931 | -7.9998350916931 |
20 | -0.1 | 2.20050743932544 | -2.30050743932544 |
21 | -1.7 | -0.0998540759990932 | -1.60014592400091 |
22 | -4.8 | -1.69989850078671 | -3.10010149921329 |
23 | -9.9 | -4.79980335676979 | -5.10019664323021 |
24 | -13.5 | -9.89967648828825 | -3.60032351171175 |
25 | -18.1 | -13.4997716270757 | -4.60022837292434 |
26 | -18 | -18.0997082018872 | 0.0997082018872071 |
27 | -15.7 | -18.0000063246132 | 2.30000632461321 |
28 | -15.2 | -15.7001458922146 | 0.500145892214588 |
29 | -15.1 | -15.2000317248657 | 0.100031724865731 |
30 | -17.9 | -15.1000063451347 | -2.79999365486533 |
31 | -14.5 | -17.8998223929775 | 3.39982239297746 |
32 | -9.4 | -14.5002156548931 | 5.10021565489312 |
33 | -4.2 | -9.40032351291768 | 5.20032351291768 |
34 | -2.2 | -4.20032986288157 | 2.00032986288157 |
35 | 4.5 | -2.20012688337005 | 6.70012688337005 |
36 | 12.4 | 4.49957500275605 | 7.90042499724395 |
37 | 15.8 | 12.3994988663785 | 3.40050113362155 |
38 | 11.5 | 15.7997843020535 | -4.29978430205353 |
39 | 14.1 | 11.5002727405779 | 2.59972725942213 |
40 | 18.8 | 14.0998350961199 | 4.70016490388011 |
41 | 26.1 | 18.7997018627908 | 7.3002981372092 |
42 | 27.9 | 26.0995369331593 | 1.80046306684072 |
43 | 25.4 | 27.8998857944253 | -2.4998857944253 |
44 | 23.4 | 25.4001585708139 | -2.00015857081386 |
45 | 11.5 | 23.4001268725048 | -11.9001268725048 |
46 | 9.9 | 11.500754839604 | -1.60075483960401 |
47 | 8.1 | 9.90010153783756 | -1.80010153783756 |
48 | 12.6 | 8.10011418264247 | 4.49988581735753 |
49 | 8.2 | 12.5997145667382 | -4.39971456673825 |
50 | 5.4 | 8.20027907927679 | -2.80027907927679 |
51 | 1 | 5.40017762512736 | -4.40017762512736 |
52 | -2.9 | 1.00027910864915 | -3.90027910864915 |
53 | -3.7 | -2.89975260052523 | -0.800247399474768 |
54 | -7 | -3.69994923932857 | -3.30005076067143 |
55 | -7.2 | -6.99979067374356 | -0.200209326256443 |
56 | -11.8 | -7.19998730047754 | -4.60001269952247 |
57 | -2.1 | -11.7997082155676 | 9.69970821556764 |
58 | 1.2 | -2.10061526435701 | 3.30061526435701 |
59 | 2.5 | 1.1997906379364 | 1.3002093620636 |
60 | 4.8 | 2.49991752612972 | 2.30008247387028 |
61 | -6.6 | 4.79985410295517 | -11.3998541029552 |
62 | -16 | -6.5992768933097 | -9.4007231066903 |
63 | -22.7 | -15.9994037006342 | -6.70059629936582 |
64 | -17.7 | -22.6995749729804 | 4.99957497298042 |
65 | -18.2 | -17.7003171291561 | -0.499682870843877 |
66 | -18.9 | -18.1999683045043 | -0.700031695495721 |
67 | -16 | -18.8999555961333 | 2.89995559613326 |
68 | -12.2 | -16.0001839477308 | 3.80018394773075 |
69 | -17.1 | -12.2002410503163 | -4.89975894968373 |
70 | -18.6 | -17.0996892022963 | -1.50031079770367 |
71 | -17.5 | -18.5999048334509 | 1.09990483345089 |
72 | -24.9 | -17.500069768309 | -7.39993023169098 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | -24.8995306133736 | -34.1749252453349 | -15.6241359814124 |
74 | -24.8995306133736 | -38.0165034788422 | -11.7825577479051 |
75 | -24.8995306133736 | -40.9643060157332 | -8.83475521101406 |
76 | -24.8995306133736 | -43.449437359853 | -6.34962386689434 |
77 | -24.8995306133736 | -45.638891063443 | -4.16017016330434 |
78 | -24.8995306133736 | -47.6183136673297 | -2.18074755941762 |
79 | -24.8995306133736 | -49.4385838760311 | -0.36047735071617 |
80 | -24.8995306133736 | -51.1328522978718 | 1.33379107112451 |
81 | -24.8995306133736 | -52.724145582447 | 2.92508435569972 |
82 | -24.8995306133736 | -54.2292293801868 | 4.43016815343953 |
83 | -24.8995306133736 | -55.6607604543085 | 5.86169922756125 |
84 | -24.8995306133736 | -57.0285718829423 | 7.22951065619498 |