Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0440224583015312 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 62 | 46 | 16 |
3 | 66 | 46.7043593328245 | 19.2956406671755 |
4 | 59 | 47.5538008694966 | 11.4461991305034 |
5 | 58 | 48.0576906934302 | 9.94230930656983 |
6 | 61 | 48.4953755902996 | 12.5046244097004 |
7 | 41 | 49.0458598969519 | -8.04585989695192 |
8 | 27 | 48.6916613651384 | -21.6916613651384 |
9 | 58 | 47.7367411072007 | 10.2632588927993 |
10 | 70 | 48.1885549938467 | 21.8114450061533 |
11 | 49 | 49.1487484221263 | -0.148748422126253 |
12 | 59 | 49.1422001509158 | 9.85779984908422 |
13 | 44 | 49.5761647337169 | -5.57616473371694 |
14 | 36 | 49.3306882542444 | -13.3306882542444 |
15 | 72 | 48.7438385864412 | 23.2561614135588 |
16 | 45 | 49.7676319825233 | -4.7676319825233 |
17 | 56 | 49.5577491023756 | 6.44225089762438 |
18 | 54 | 49.8413528238843 | 4.15864717611571 |
19 | 53 | 50.0244266957856 | 2.97557330421438 |
20 | 35 | 50.1554187474935 | -15.1554187474935 |
21 | 61 | 49.4882399576398 | 11.5117600423602 |
22 | 52 | 49.9950159340818 | 2.00498406591819 |
23 | 47 | 50.0832802615189 | -3.08328026151892 |
24 | 51 | 49.9475466847743 | 1.05245331522573 |
25 | 52 | 49.9938782669581 | 2.00612173304189 |
26 | 63 | 50.0821926772987 | 12.9178073227013 |
27 | 74 | 50.6508663115096 | 23.3491336884904 |
28 | 45 | 51.678752575688 | -6.67875257568802 |
29 | 51 | 51.3847374689185 | -0.384737468918544 |
30 | 64 | 51.367800379736 | 12.6321996202640 |
31 | 36 | 51.9239008607757 | -15.9239008607757 |
32 | 30 | 51.2228915991345 | -21.2228915991345 |
33 | 55 | 50.2886077386737 | 4.71139226132631 |
34 | 64 | 50.4960148080401 | 13.5039851919599 |
35 | 39 | 51.0904934330576 | -12.0904934330576 |
36 | 40 | 50.5582401900559 | -10.5582401900559 |
37 | 63 | 50.0934405015516 | 12.9065594984484 |
38 | 45 | 50.6616189788883 | -5.66161897888831 |
39 | 59 | 50.412380593471 | 8.58761940652897 |
40 | 55 | 50.7904287107044 | 4.20957128929562 |
41 | 40 | 50.9757443872547 | -10.9757443872547 |
42 | 64 | 50.4925651376385 | 13.5074348623615 |
43 | 27 | 51.0871956256275 | -24.0871956256275 |
44 | 28 | 50.0268180605975 | -22.0268180605975 |
45 | 45 | 49.0571433810094 | -4.05714338100941 |
46 | 57 | 48.8785379556956 | 8.12146204430441 |
47 | 45 | 49.2360646798885 | -4.23606467988845 |
48 | 69 | 49.0495826991555 | 19.9504173008445 |
49 | 60 | 49.92784911288 | 10.0721508871200 |
50 | 56 | 50.371249955315 | 5.62875004468498 |
51 | 58 | 50.6190413694469 | 7.3809586305531 |
52 | 50 | 50.9439693129858 | -0.943969312985757 |
53 | 51 | 50.9024134632669 | 0.0975865367330826 |
54 | 53 | 50.906709462511 | 2.09329053748896 |
55 | 37 | 50.9988612579106 | -13.9988612579106 |
56 | 22 | 50.3825969719153 | -28.3825969719153 |
57 | 55 | 49.13312528023 | 5.86687471976997 |
58 | 70 | 49.3913995279414 | 20.6086004720586 |
59 | 62 | 50.2986407828755 | 11.7013592171245 |
60 | 58 | 50.8137633810826 | 7.18623661891737 |
61 | 39 | 51.1301191829839 | -12.1301191829839 |
62 | 49 | 50.5961215170583 | -1.59612151705834 |
63 | 58 | 50.5258563241295 | 7.47414367587054 |
64 | 47 | 50.8548865024401 | -3.85488650244013 |
65 | 42 | 50.6851849221293 | -8.68518492212932 |
66 | 62 | 50.3028417310538 | 11.6971582689462 |
67 | 39 | 50.8177793931949 | -11.8177793931949 |
68 | 40 | 50.2975316926413 | -10.2975316926413 |
69 | 72 | 49.8442090330933 | 22.1557909669067 |
70 | 70 | 50.8195614170714 | 19.1804385829286 |
71 | 54 | 51.6639314747934 | 2.33606852520658 |
72 | 65 | 51.7667709540338 | 13.2332290459662 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 52.3493302279045 | 27.8299834175885 | 76.8686770382205 |
74 | 52.3493302279045 | 27.8062359544651 | 76.8924245013439 |
75 | 52.3493302279045 | 27.7825114467657 | 76.9161490090433 |
76 | 52.3493302279045 | 27.7588098280494 | 76.9398506277596 |
77 | 52.3493302279045 | 27.7351310321949 | 76.963529423614 |
78 | 52.3493302279045 | 27.7114749933991 | 76.98718546241 |
79 | 52.3493302279045 | 27.6878416461740 | 77.010818809635 |
80 | 52.3493302279045 | 27.6642309253454 | 77.0344295304636 |
81 | 52.3493302279045 | 27.6406427660505 | 77.0580176897585 |
82 | 52.3493302279045 | 27.6170771037356 | 77.0815833520734 |
83 | 52.3493302279045 | 27.5935338741545 | 77.1051265816545 |
84 | 52.3493302279045 | 27.5700130133661 | 77.1286474424429 |