Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0090380623970487 |
beta | 1 |
gamma | 0.930857409776195 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 600 | 622.80622118194 | -22.8062211819403 |
14 | 450 | 466.75930383748 | -16.7593038374799 |
15 | 530 | 554.089874022441 | -24.0898740224409 |
16 | 400 | 417.555263048804 | -17.5552630488042 |
17 | 560 | 575.647261008679 | -15.6472610086794 |
18 | 460 | 465.596735775854 | -5.59673577585369 |
19 | 610 | 583.069240084502 | 26.9307599154982 |
20 | 550 | 599.531021819852 | -49.5310218198521 |
21 | 580 | 666.441903176397 | -86.4419031763966 |
22 | 650 | 576.647881502791 | 73.3521184972092 |
23 | 640 | 546.587767177886 | 93.4122328221144 |
24 | 760 | 683.602862339457 | 76.3971376605434 |
25 | 550 | 559.906075180639 | -9.90607518063928 |
26 | 460 | 420.036459459152 | 39.9635405408483 |
27 | 510 | 496.271359585347 | 13.7286404146528 |
28 | 370 | 375.490577030587 | -5.49057703058702 |
29 | 530 | 526.367115087253 | 3.63288491274704 |
30 | 410 | 433.106621839214 | -23.106621839214 |
31 | 580 | 572.89802994587 | 7.10197005412977 |
32 | 550 | 522.787753621444 | 27.212246378556 |
33 | 490 | 556.215890298593 | -66.2158902985934 |
34 | 700 | 612.967341635601 | 87.0326583643995 |
35 | 630 | 604.128278048165 | 25.8717219518345 |
36 | 720 | 720.933264483809 | -0.933264483809239 |
37 | 540 | 526.800213261265 | 13.1997867387352 |
38 | 500 | 437.936795475566 | 62.0632045244338 |
39 | 450 | 489.129643594794 | -39.1296435947936 |
40 | 370 | 356.109989334684 | 13.8900106653165 |
41 | 490 | 510.382738079639 | -20.3827380796393 |
42 | 440 | 397.110279188718 | 42.889720811282 |
43 | 600 | 561.188407692923 | 38.8115923070766 |
44 | 580 | 532.655823442425 | 47.3441765575749 |
45 | 500 | 483.248467316463 | 16.7515326835372 |
46 | 670 | 680.993940656754 | -10.9939406567544 |
47 | 620 | 618.359547436457 | 1.64045256354325 |
48 | 800 | 711.135232620444 | 88.8647673795565 |
49 | 640 | 535.277427260077 | 104.722572739923 |
50 | 390 | 495.442933326955 | -105.442933326955 |
51 | 390 | 453.127400325849 | -63.127400325849 |
52 | 390 | 369.655600990091 | 20.3443990099092 |
53 | 460 | 493.821419598534 | -33.8214195985341 |
54 | 460 | 439.469504350412 | 20.5304956495885 |
55 | 620 | 601.481331141479 | 18.5186688585211 |
56 | 570 | 581.186619727135 | -11.1866197271349 |
57 | 510 | 502.586348074055 | 7.41365192594475 |
58 | 640 | 676.038795318603 | -36.0387953186029 |
59 | 590 | 624.316646503993 | -34.3166465039925 |
60 | 850 | 797.690461823317 | 52.3095381766826 |
61 | 670 | 634.279030222398 | 35.7209697776022 |
62 | 390 | 398.100390155847 | -8.10039015584721 |
63 | 410 | 395.309627533033 | 14.6903724669666 |
64 | 340 | 389.828845915553 | -49.8288459155531 |
65 | 470 | 463.13261602771 | 6.86738397229027 |
66 | 540 | 459.228329960803 | 80.7716700391969 |
67 | 680 | 621.067338317417 | 58.9326616825829 |
68 | 670 | 574.459418064373 | 95.5405819356266 |
69 | 540 | 515.194513923926 | 24.8054860760735 |
70 | 630 | 652.599848188001 | -22.5998481880006 |
71 | 560 | 604.064933624598 | -44.0649336245981 |
72 | 800 | 865.166350175554 | -65.1663501755544 |
73 | 610 | 683.099965422565 | -73.0999654225645 |
74 | 490 | 399.66722587249 | 90.3327741275099 |
75 | 440 | 420.525194511495 | 19.4748054885045 |
76 | 330 | 354.753176357102 | -24.7531763571017 |
77 | 490 | 486.419709851819 | 3.58029014818146 |
78 | 590 | 554.811888713208 | 35.1881112867925 |
79 | 690 | 703.261466297553 | -13.2614662975529 |
80 | 650 | 690.113932622793 | -40.1139326227926 |
81 | 480 | 559.08865522087 | -79.0886552208702 |
82 | 690 | 653.833595765512 | 36.1664042344884 |
83 | 540 | 582.731111602379 | -42.7311116023785 |
84 | 830 | 831.461883744499 | -1.461883744499 |
85 | 690 | 635.773235237951 | 54.2267647620491 |
86 | 500 | 500.000706207869 | -0.000706207868631736 |
87 | 460 | 452.67790713517 | 7.32209286482993 |
88 | 310 | 342.106251407872 | -32.1062514078719 |
89 | 490 | 503.892825713042 | -13.8928257130423 |
90 | 470 | 602.946757581896 | -132.946757581896 |
91 | 710 | 704.575255045792 | 5.42474495420822 |
92 | 710 | 663.307157772846 | 46.6928422271543 |
93 | 540 | 492.753290662908 | 47.2467093370923 |
94 | 700 | 697.595151495058 | 2.40484850494215 |
95 | 520 | 550.558804951054 | -30.5588049510542 |
96 | 810 | 840.418095997154 | -30.4180959971535 |
97 | 690 | 693.062774804205 | -3.06277480420533 |
98 | 510 | 503.792565955299 | 6.20743404470136 |
99 | 390 | 461.989336724576 | -71.989336724576 |
100 | 270 | 312.568516371397 | -42.5685163713974 |
101 | 530 | 489.063473069371 | 40.9365269306289 |
102 | 510 | 477.125156695053 | 32.8748433049473 |
103 | 670 | 706.776411035694 | -36.7764110356936 |
104 | 770 | 702.498474279933 | 67.501525720067 |
105 | 570 | 533.101625129254 | 36.8983748707461 |
106 | 640 | 694.793458280429 | -54.7934582804289 |
107 | 480 | 517.330399150326 | -37.3303991503265 |
108 | 830 | 802.905462334524 | 27.0945376654756 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 681.794529837781 | 596.06683793283 | 767.522221742732 |
110 | 502.698871308007 | 416.962385863259 | 588.435356752755 |
111 | 389.638898930979 | 303.889579027172 | 475.388218834786 |
112 | 269.614840916897 | 183.858754539005 | 355.370927294789 |
113 | 521.114237660563 | 435.131977990969 | 607.096497330156 |
114 | 501.865693232081 | 415.708910139592 | 588.022476324571 |
115 | 665.008555412707 | 578.062477355271 | 751.954633470144 |
116 | 756.488384306771 | 668.420987213724 | 844.555781399818 |
117 | 560.281482315763 | 472.741102951594 | 647.821861679931 |
118 | 635.367878078183 | 546.51212529631 | 724.223630860055 |
119 | 476.409708257021 | 388.371213691706 | 564.448202822335 |
120 | 817.581271559574 | 591.122611453945 | 1044.0399316652 |