Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.752013114227701 |
beta | 0 |
gamma | 0.75899014078033 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 469.93 | 463.785446047008 | 6.14455395299166 |
14 | 477.19 | 475.584306666938 | 1.60569333306182 |
15 | 478.97 | 478.477801243696 | 0.492198756304276 |
16 | 480.44 | 480.22893329611 | 0.211066703889742 |
17 | 480.56 | 480.428650358279 | 0.13134964172076 |
18 | 481.8 | 481.690085810936 | 0.109914189063772 |
19 | 483.24 | 482.246234855419 | 0.993765144580948 |
20 | 483.45 | 483.257051409474 | 0.192948590526441 |
21 | 483.53 | 483.413560079455 | 0.116439920544963 |
22 | 483.59 | 483.792533226258 | -0.202533226258424 |
23 | 483.59 | 483.803717716912 | -0.213717716912299 |
24 | 483.59 | 483.736074657252 | -0.146074657251972 |
25 | 492.36 | 485.249575561011 | 7.11042443898873 |
26 | 495.71 | 496.920480916617 | -1.21048091661731 |
27 | 499.29 | 497.48659402033 | 1.80340597967023 |
28 | 499.78 | 500.170856537355 | -0.390856537355091 |
29 | 500 | 499.902915114688 | 0.097084885312313 |
30 | 500 | 501.134548448816 | -1.13454844881596 |
31 | 500.29 | 500.921203343942 | -0.631203343941763 |
32 | 500.42 | 500.559292911867 | -0.139292911866562 |
33 | 500.61 | 500.451551183595 | 0.158448816405496 |
34 | 498.9 | 500.802078572468 | -1.9020785724685 |
35 | 499.06 | 499.533077534176 | -0.473077534175559 |
36 | 496.61 | 499.283124240353 | -2.67312424035254 |
37 | 498.41 | 500.262066084364 | -1.85206608436403 |
38 | 501.26 | 503.626903541414 | -2.36690354141405 |
39 | 505.4 | 503.890644255805 | 1.50935574419509 |
40 | 506.07 | 505.940773923313 | 0.129226076687416 |
41 | 506.2 | 506.155781586941 | 0.0442184130592977 |
42 | 507.14 | 507.11584110548 | 0.0241588945198714 |
43 | 507.14 | 507.868598533324 | -0.728598533324259 |
44 | 507.28 | 507.526032826993 | -0.246032826992916 |
45 | 507.34 | 507.394062112133 | -0.0540621121331242 |
46 | 507.48 | 507.196946852137 | 0.283053147862915 |
47 | 506.97 | 507.840159529596 | -0.870159529595981 |
48 | 506.97 | 506.877503453818 | 0.0924965461816782 |
49 | 510.1 | 510.090767637085 | 0.00923236291532703 |
50 | 515.84 | 514.758423435058 | 1.08157656494245 |
51 | 519 | 518.345054391025 | 0.654945608974799 |
52 | 520.1 | 519.492888976097 | 0.60711102390303 |
53 | 521.26 | 520.051272278564 | 1.20872772143605 |
54 | 521.04 | 521.88328247406 | -0.843282474060402 |
55 | 521.12 | 521.842028913931 | -0.722028913931013 |
56 | 521.12 | 521.595231972407 | -0.475231972406846 |
57 | 521.1 | 521.327033145847 | -0.227033145846576 |
58 | 521.16 | 521.06329309996 | 0.0967069000398624 |
59 | 521.14 | 521.349313724853 | -0.209313724852791 |
60 | 521.13 | 521.064813103539 | 0.0651868964613413 |
61 | 522.17 | 524.24186812069 | -2.07186812068983 |
62 | 531.39 | 527.546345261175 | 3.84365473882508 |
63 | 532.12 | 533.129794917971 | -1.00979491797113 |
64 | 533.34 | 533.016719388461 | 0.323280611539531 |
65 | 535.72 | 533.474894553585 | 2.24510544641487 |
66 | 536.25 | 535.700045848609 | 0.549954151391034 |
67 | 536.25 | 536.729346798791 | -0.479346798790516 |
68 | 536.68 | 536.711502012387 | -0.03150201238725 |
69 | 536.76 | 536.823709819127 | -0.0637098191266432 |
70 | 536.79 | 536.743725279169 | 0.0462747208313203 |
71 | 536.99 | 536.934221163897 | 0.0557788361028315 |
72 | 536.99 | 536.900740022418 | 0.0892599775817189 |
73 | 542.38 | 539.693662668893 | 2.68633733110653 |
74 | 544.1 | 547.689790063678 | -3.58979006367827 |
75 | 546.96 | 546.769677385559 | 0.190322614441129 |
76 | 547.04 | 547.810016923763 | -0.770016923762796 |
77 | 550.27 | 547.80774310886 | 2.46225689113953 |
78 | 550.32 | 549.877134437123 | 0.442865562876591 |
79 | 551.17 | 550.632168749852 | 0.537831250148088 |
80 | 552.83 | 551.463548362916 | 1.36645163708442 |
81 | 552.35 | 552.620973506596 | -0.27097350659551 |
82 | 552.44 | 552.405825201823 | 0.0341747981774461 |
83 | 552.47 | 552.589010646822 | -0.119010646821835 |
84 | 548.78 | 552.430387329056 | -3.65038732905623 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 552.899867022493 | 549.654636821613 | 556.145097223374 |
86 | 557.694543318816 | 553.634082392675 | 561.755004244957 |
87 | 560.185491147218 | 555.448069189155 | 564.922913105281 |
88 | 560.901950858393 | 555.57288051876 | 566.231021198025 |
89 | 562.087117157213 | 556.22581913026 | 567.948415184166 |
90 | 561.924769981978 | 555.575704032031 | 568.273835931925 |
91 | 562.364637987383 | 555.56269250739 | 569.166583467376 |
92 | 562.947524045989 | 555.721025157259 | 570.174022934718 |
93 | 562.769164130849 | 555.141706489877 | 570.396621771821 |
94 | 562.815226348919 | 554.806859852508 | 570.82359284533 |
95 | 562.943879394124 | 554.571916791672 | 571.315841996575 |
96 | 562.210079332175 | 553.489667547582 | 570.930491116768 |