Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0 |
beta | 0 |
gamma | 0.809499765629382 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 590 | 589.081196581197 | 0.918803418803122 |
14 | 605 | 603.837898212898 | 1.16210178710162 |
15 | 475 | 473.177933177934 | 1.82206682206646 |
16 | 535 | 532.309634809635 | 2.69036519036501 |
17 | 560 | 557.066336441337 | 2.93366355866328 |
18 | 610 | 607.031371406372 | 2.9686285936283 |
19 | 585 | 584.70473970474 | 0.29526029526005 |
20 | 560 | 544.878108003108 | 15.1218919968918 |
21 | 590 | 583.593142968143 | 6.40685703185682 |
22 | 625 | 611.266511266511 | 13.7334887334886 |
23 | 620 | 630.606546231546 | -10.6065462315464 |
24 | 615 | 604.529914529915 | 10.4700854700852 |
25 | 560 | 594.405387313797 | -34.4053873137968 |
26 | 665 | 609.359038917614 | 55.640961082386 |
27 | 495 | 479.233315423777 | 15.7666845762232 |
28 | 555 | 539.067904381112 | 15.9320956188876 |
29 | 545 | 564.021555984929 | -19.0215559849295 |
30 | 605 | 614.014895137574 | -9.01489513757394 |
31 | 610 | 589.524172424972 | 20.475827575028 |
32 | 610 | 561.699695610884 | 48.3003043891157 |
33 | 550 | 593.359911814272 | -43.3599118142716 |
34 | 600 | 626.964186757964 | -26.9641867579636 |
35 | 660 | 626.600969123392 | 33.3990308766082 |
36 | 590 | 617.585865844488 | -27.5858658444878 |
37 | 555 | 571.13465392731 | -16.1346539273096 |
38 | 650 | 658.980803453618 | -8.98080345361848 |
39 | 530 | 496.576862473401 | 33.4231375265987 |
40 | 565 | 556.545351631006 | 8.45464836899373 |
41 | 580 | 553.204030453642 | 26.7959695463577 |
42 | 630 | 611.297759216954 | 18.7022407830462 |
43 | 605 | 610.679769628444 | -5.67976962844421 |
44 | 595 | 605.379200274121 | -10.3792002741206 |
45 | 565 | 562.840492943327 | 2.15950705667251 |
46 | 585 | 609.717103477425 | -24.7171034774245 |
47 | 685 | 658.217896370674 | 26.782103629326 |
48 | 585 | 599.835533489111 | -14.8355334891107 |
49 | 520 | 562.654074935061 | -42.6540749350606 |
50 | 670 | 656.29126474317 | 13.7087352568299 |
51 | 525 | 528.213304048201 | -3.21330404820094 |
52 | 565 | 567.969807084605 | -2.96980708460489 |
53 | 575 | 579.47578110165 | -4.47578110165034 |
54 | 610 | 631.017638327993 | -21.0176383279934 |
55 | 605 | 610.662417025809 | -5.66241702580919 |
56 | 575 | 601.557659665219 | -26.5576596652189 |
57 | 565 | 569.169032979998 | -4.16903297999829 |
58 | 575 | 594.289033585832 | -19.2890335858316 |
59 | 720 | 684.478422562095 | 35.5215774379053 |
60 | 580 | 592.406592187108 | -12.4065921871081 |
61 | 565 | 532.70603085241 | 32.2939691475897 |
62 | 675 | 671.968902301069 | 3.03109769893149 |
63 | 525 | 530.192554754706 | -5.19255475470572 |
64 | 575 | 570.146168526072 | 4.85383147392781 |
65 | 560 | 580.433056929275 | -20.4330569292754 |
66 | 585 | 618.584284607819 | -33.584284607819 |
67 | 550 | 610.65911135094 | -60.6591113509402 |
68 | 560 | 584.639659970979 | -24.6396599709788 |
69 | 605 | 570.374621340208 | 34.6253786597921 |
70 | 585 | 583.254984999303 | 1.74501500069698 |
71 | 685 | 717.813550753284 | -32.8135507532844 |
72 | 585 | 586.943878299804 | -1.94387829980417 |
73 | 555 | 563.428410889046 | -8.42841088904606 |
74 | 660 | 679.002994758373 | -19.0029947583728 |
75 | 530 | 530.569602478173 | -0.569602478173124 |
76 | 575 | 578.655763547041 | -3.65576354704069 |
77 | 580 | 568.472921714355 | 11.5270782856454 |
78 | 615 | 595.978233669378 | 19.0217663306215 |
79 | 570 | 566.135994509487 | 3.86400549051314 |
80 | 550 | 569.274280579703 | -19.2742805797031 |
81 | 635 | 602.984276830558 | 32.0157231694424 |
82 | 580 | 589.247993813806 | -9.24799381380637 |
83 | 690 | 695.831408689452 | -5.83140868945225 |
84 | 575 | 589.95072885212 | -14.9507288521201 |
85 | 590 | 561.186033830155 | 28.8139661698455 |
86 | 685 | 668.200494535633 | 16.799505464367 |
87 | 540 | 534.68892898601 | 5.3110710139905 |
88 | 580 | 580.276843392934 | -0.276843392934211 |
89 | 615 | 582.384508465395 | 32.6154915346045 |
90 | 605 | 615.956768636293 | -10.9567686362928 |
91 | 565 | 573.844325628867 | -8.8443256288673 |
92 | 555 | 558.252174548178 | -3.25217454817789 |
93 | 625 | 633.481416813096 | -8.48141681309585 |
94 | 605 | 586.342164569407 | 18.6578354305925 |
95 | 685 | 695.691304302471 | -10.6913043024709 |
96 | 540 | 582.42853693076 | -42.4285369307598 |
97 | 610 | 589.091352271917 | 20.9086477280832 |
98 | 680 | 686.380109852147 | -6.38010985214703 |
99 | 560 | 543.568659307495 | 16.4313406925048 |
100 | 575 | 584.633158311657 | -9.63315831165733 |
101 | 590 | 613.367160798964 | -23.3671607989644 |
102 | 625 | 611.667686573578 | 13.3323134264222 |
103 | 520 | 571.265265685569 | -51.2652656855687 |
104 | 590 | 560.199959594061 | 29.8000404059386 |
105 | 625 | 631.196131471109 | -6.19613147110908 |
106 | 560 | 606.026097558043 | -46.0260975580431 |
107 | 715 | 691.617115555768 | 23.3828844442323 |
108 | 575 | 552.663065809732 | 22.3369341902685 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 610.597317287847 | 566.846196823004 | 654.348437752689 |
110 | 685.795832002564 | 642.044711537721 | 729.546952467406 |
111 | 561.450245327474 | 517.699124862631 | 605.201365792316 |
112 | 581.415538496519 | 537.664418031677 | 625.166658961362 |
113 | 599.031869189198 | 555.280748724355 | 642.782989654041 |
114 | 627.040610747983 | 583.289490283141 | 670.791731212826 |
115 | 534.346464708592 | 490.59534424375 | 578.097585173435 |
116 | 588.903504898834 | 545.152384433992 | 632.654625363677 |
117 | 630.760784077857 | 587.009663613014 | 674.511904542699 |
118 | 573.348401952391 | 529.597281487549 | 617.099522417234 |
119 | 715.125974613532 | 671.374854148689 | 758.877095078375 |
120 | 575.325228382052 | 531.57410791721 | 619.076348846895 |