Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.00387070960176997 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 19.394 | 17.8202318345291 | 1.57376816547088 |
14 | 20.148 | 20.1335333847187 | 0.0144666152812576 |
15 | 20.108 | 20.1633799151727 | -0.0553799151727219 |
16 | 18.584 | 18.6255191063339 | -0.0415191063338938 |
17 | 18.441 | 18.503881064581 | -0.0628810645810276 |
18 | 18.391 | 18.4814735669015 | -0.0904735669014798 |
19 | 19.178 | 18.2269091690857 | 0.951090830914325 |
20 | 18.079 | 19.1462525094123 | -1.06725250941227 |
21 | 18.483 | 18.8066105053578 | -0.32361050535777 |
22 | 19.644 | 19.0768782771976 | 0.567121722802447 |
23 | 19.195 | 20.4090165498728 | -1.21401654987283 |
24 | 19.65 | 19.2447680389757 | 0.405231961024263 |
25 | 20.83 | 21.4153987252728 | -0.585398725272849 |
26 | 23.595 | 21.598794175245 | 1.996205824755 |
27 | 22.937 | 23.5705252231181 | -0.633525223118049 |
28 | 21.814 | 21.2121945796527 | 0.601805420347276 |
29 | 21.928 | 21.6816155557581 | 0.246384444241926 |
30 | 21.777 | 21.935924083957 | -0.158924083956965 |
31 | 21.383 | 21.5442530707898 | -0.16125307078984 |
32 | 21.467 | 21.3201757852205 | 0.146824214779482 |
33 | 22.052 | 22.291793787028 | -0.239793787028038 |
34 | 22.68 | 22.7198784215574 | -0.0398784215574359 |
35 | 24.32 | 23.5277539457096 | 0.79224605429042 |
36 | 24.977 | 24.3304692798627 | 0.646530720137342 |
37 | 25.204 | 27.1638776204566 | -1.95987762045663 |
38 | 25.739 | 26.0863447627398 | -0.347344762739834 |
39 | 26.434 | 25.6851115979249 | 0.748888402075121 |
40 | 27.525 | 24.4120825999636 | 3.11291740003644 |
41 | 30.695 | 27.3082443753244 | 3.38675562467565 |
42 | 32.436 | 30.6368757168165 | 1.79912428318352 |
43 | 30.16 | 32.0090649941266 | -1.84906499412657 |
44 | 30.236 | 30.003527103598 | 0.232472896402008 |
45 | 31.293 | 31.3285161460034 | -0.0355161460034097 |
46 | 31.077 | 32.1689369749665 | -1.09193697496649 |
47 | 32.226 | 32.1723624349064 | 0.0536375650936378 |
48 | 33.865 | 32.181045135211 | 1.68395486478902 |
49 | 32.81 | 36.7621676062264 | -3.95216760622635 |
50 | 32.242 | 33.8978588269265 | -1.65585882692645 |
51 | 32.7 | 32.1223325585727 | 0.577667441427273 |
52 | 32.819 | 30.1534795056478 | 2.66552049435221 |
53 | 33.947 | 32.5223322959532 | 1.42466770404678 |
54 | 34.148 | 33.8567493619916 | 0.291250638008449 |
55 | 35.261 | 33.6802168621076 | 1.58078313789236 |
56 | 39.506 | 35.0450375255144 | 4.46096247448556 |
57 | 41.591 | 40.8815473753382 | 0.709452624661772 |
58 | 39.148 | 42.6994497088011 | -3.55144970880112 |
59 | 41.216 | 40.4802470905617 | 0.735752909438261 |
60 | 40.225 | 41.1089674192379 | -0.883967419237869 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 43.6261429824901 | 40.6086907295842 | 46.643595235396 |
62 | 45.0110524864144 | 40.6820017356239 | 49.3401032372049 |
63 | 44.773931107215 | 39.5258965486125 | 50.0219656658176 |
64 | 41.2267872567779 | 35.5414575817585 | 46.9121169317973 |
65 | 40.8092712085764 | 34.4375497654264 | 47.1809926517265 |
66 | 40.6632622124066 | 33.6496617706536 | 47.6768626541596 |
67 | 40.0710124513689 | 32.5469146517749 | 47.5951102509629 |
68 | 39.7973908307314 | 31.7571572309071 | 47.8376244305557 |
69 | 41.1697254662567 | 32.3426463149885 | 49.9968046175249 |
70 | 42.2555044436485 | 32.728955885626 | 51.782053001671 |
71 | 43.6707314045196 | 33.3975477812702 | 53.943915027769 |
72 | 43.5372596213624 | 28.6618101693285 | 58.4127090733962 |