Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.384309739467462 |
beta | 0.0302997010977021 |
gamma | 0.742528245786947 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 80 | 65.9535256410256 | 14.0464743589744 |
14 | 42 | 32.4896452692954 | 9.51035473070461 |
15 | 54 | 47.1848996542823 | 6.81510034571767 |
16 | 66 | 60.6320330952326 | 5.36796690476743 |
17 | 81 | 79.7521928580272 | 1.2478071419728 |
18 | 63 | 69.4284651489414 | -6.42846514894138 |
19 | 137 | 111.454815164571 | 25.5451848354292 |
20 | 72 | 80.2330770866427 | -8.23307708664271 |
21 | 107 | 86.4341541487033 | 20.5658458512967 |
22 | 58 | 68.1507494951891 | -10.1507494951891 |
23 | 36 | 97.1111246530485 | -61.1111246530485 |
24 | 52 | 157.233657972123 | -105.233657972123 |
25 | 79 | 65.4290054317774 | 13.5709945682226 |
26 | 77 | 28.4448086515105 | 48.5551913484895 |
27 | 54 | 56.1040291621919 | -2.10402916219191 |
28 | 84 | 64.5488510834 | 19.4511489166 |
29 | 48 | 86.4486823494848 | -38.4486823494848 |
30 | 96 | 56.1485912583514 | 39.8514087416486 |
31 | 83 | 129.905688555298 | -46.9056885552983 |
32 | 66 | 53.8820319558164 | 12.1179680441836 |
33 | 61 | 79.7910982360018 | -18.7910982360018 |
34 | 53 | 30.6024749606978 | 22.3975250393022 |
35 | 30 | 47.4157183788858 | -17.4157183788858 |
36 | 74 | 103.30991954801 | -29.3099195480102 |
37 | 69 | 95.0316879334499 | -26.0316879334499 |
38 | 59 | 58.3948505042342 | 0.605149495765815 |
39 | 42 | 43.4817268439243 | -1.48172684392433 |
40 | 65 | 61.0423454116014 | 3.95765458839864 |
41 | 70 | 49.3598614177827 | 20.6401385822173 |
42 | 100 | 77.0943888535603 | 22.9056111464397 |
43 | 63 | 104.009168236201 | -41.0091682362014 |
44 | 105 | 56.6365903799077 | 48.3634096200923 |
45 | 82 | 82.1678704778572 | -0.16787047785725 |
46 | 81 | 59.0066441767536 | 21.9933558232464 |
47 | 75 | 57.4987507302014 | 17.5012492697986 |
48 | 102 | 121.816337740838 | -19.8163377408382 |
49 | 121 | 119.237926694914 | 1.76207330508561 |
50 | 98 | 106.336283949771 | -8.33628394977093 |
51 | 76 | 87.804997816099 | -11.804997816099 |
52 | 77 | 104.536951034864 | -27.5369510348641 |
53 | 63 | 88.6626936587582 | -25.6626936587582 |
54 | 37 | 99.3843422847504 | -62.3843422847504 |
55 | 35 | 63.0545018301303 | -28.0545018301303 |
56 | 23 | 60.4225025745948 | -37.4225025745948 |
57 | 40 | 28.7033142892427 | 11.2966857107573 |
58 | 29 | 18.1177304489408 | 10.8822695510592 |
59 | 37 | 8.19502235236563 | 28.8049776476344 |
60 | 51 | 57.8369123668596 | -6.83691236685961 |
61 | 20 | 68.3032603711942 | -48.3032603711942 |
62 | 28 | 29.1530913703556 | -1.15309137035556 |
63 | 13 | 9.48894655459205 | 3.51105344540795 |
64 | 22 | 22.785571833592 | -0.785571833592023 |
65 | 25 | 16.2311857395757 | 8.76881426042425 |
66 | 13 | 21.9804002345207 | -8.98040023452069 |
67 | 16 | 21.0737026562198 | -5.07370265621981 |
68 | 13 | 22.4633065520694 | -9.46330655206938 |
69 | 16 | 23.5601075505731 | -7.56010755057313 |
70 | 17 | 5.11681233772823 | 11.8831876622718 |
71 | 9 | 3.36269550037526 | 5.63730449962474 |
72 | 17 | 27.1271879455909 | -10.1271879455909 |
73 | 25 | 16.6541499771119 | 8.34585002288814 |
74 | 14 | 20.7721171731624 | -6.7721171731624 |
75 | 8 | 0.957201176920368 | 7.04279882307963 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 13.5643390198893 | -38.9398346586758 | 66.0685126984545 |
77 | 11.6064628012529 | -44.8637161502278 | 68.0766417527336 |
78 | 5.69591900397162 | -54.6933859745219 | 66.0852239824651 |
79 | 9.9556083492285 | -54.3203355772312 | 74.2315522756882 |
80 | 11.2764991696405 | -56.8646420404731 | 79.4176403797541 |
81 | 16.9786142103193 | -55.0149286124366 | 88.9721570330752 |
82 | 10.5160089149046 | -65.3240187416841 | 86.3560365714933 |
83 | 1.38770573245094 | -78.2984377606672 | 81.0738492255691 |
84 | 15.7611241951368 | -67.7752917968229 | 99.2975401870965 |
85 | 17.7256690404371 | -69.6689038455758 | 105.12024192645 |
86 | 11.7279548390752 | -79.5357551627387 | 102.991664840889 |
87 | 0.913368443513928 | -94.2330479678789 | 96.0597848549068 |