Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0413348347616464 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 720 | 630 | 90 |
3 | 740 | 633.720135128548 | 106.279864871452 |
4 | 720 | 638.1131957815 | 81.8868042185003 |
5 | 720 | 641.497973303031 | 78.5020266969693 |
6 | 690 | 644.742841605004 | 45.2571583949957 |
7 | 790 | 646.613538769043 | 143.386461230957 |
8 | 760 | 652.540394451082 | 107.459605548918 |
9 | 840 | 656.982219489998 | 183.017780510002 |
10 | 840 | 664.547229205822 | 175.452770794178 |
11 | 640 | 671.799540495073 | -31.7995404950727 |
12 | 840 | 670.485111743213 | 169.514888256787 |
13 | 590 | 677.491981638946 | -87.4919816389458 |
14 | 770 | 673.875515034931 | 96.124484965069 |
15 | 750 | 677.84880473751 | 72.1511952624895 |
16 | 590 | 680.831162471541 | -90.8311624715408 |
17 | 730 | 677.076671379571 | 52.9233286204286 |
18 | 740 | 679.264248423133 | 60.735751576867 |
19 | 770 | 681.774750678687 | 88.2252493213127 |
20 | 660 | 685.421526781189 | -25.4215267811887 |
21 | 830 | 684.3707321723 | 145.6292678277 |
22 | 900 | 690.390293894417 | 209.609706105583 |
23 | 630 | 699.054476460729 | -69.0544764607286 |
24 | 770 | 696.200121086672 | 73.7998789133277 |
25 | 640 | 699.250626886984 | -59.2506268869843 |
26 | 700 | 696.801512015087 | 3.19848798491319 |
27 | 760 | 696.93372098743 | 63.0662790125697 |
28 | 500 | 699.540555209447 | -199.540555209447 |
29 | 740 | 691.292579331617 | 48.7074206683831 |
30 | 740 | 693.305892516611 | 46.6941074833894 |
31 | 680 | 695.235985733779 | -15.2359857337791 |
32 | 580 | 694.606208781042 | -114.606208781042 |
33 | 780 | 689.868980078419 | 90.1310199215808 |
34 | 990 | 693.594530893776 | 296.405469106224 |
35 | 630 | 705.84640198173 | -75.8464019817303 |
36 | 780 | 702.71130348855 | 77.28869651145 |
37 | 630 | 705.906018987794 | -75.9060189877938 |
38 | 780 | 702.768456235519 | 77.2315437644811 |
39 | 730 | 705.960809335411 | 24.0391906645895 |
40 | 490 | 706.954465309335 | -216.954465309335 |
41 | 710 | 697.986688334972 | 12.0133116650278 |
42 | 700 | 698.483256587586 | 1.5167434124138 |
43 | 740 | 698.545950925914 | 41.4540490740859 |
44 | 520 | 700.259447194593 | -180.259447194593 |
45 | 730 | 692.808452730578 | 37.1915472694216 |
46 | 1110 | 694.34575919149 | 415.65424080851 |
47 | 510 | 711.526758553287 | -201.526758553287 |
48 | 750 | 703.196683288437 | 46.8033167115632 |
49 | 690 | 705.131290651006 | -15.1312906510062 |
50 | 740 | 704.505841252216 | 35.4941587477836 |
51 | 690 | 705.97298643906 | -15.9729864390597 |
52 | 640 | 705.312745683951 | -65.3127456839511 |
53 | 660 | 702.613054133276 | -42.6130541332756 |
54 | 580 | 700.851650581988 | -120.851650581988 |
55 | 760 | 695.856267574509 | 64.1437324254912 |
56 | 510 | 698.507638155312 | -188.507638155312 |
57 | 810 | 690.715706080854 | 119.284293919146 |
58 | 1050 | 695.646302659661 | 354.353697340339 |
59 | 510 | 710.293454186403 | -200.293454186403 |
60 | 740 | 702.014357353768 | 37.9856426462318 |
61 | 690 | 703.584487615865 | -13.5844876158652 |
62 | 800 | 703.022975064942 | 96.9770249350582 |
63 | 670 | 707.031504366308 | -37.0315043663085 |
64 | 670 | 705.500813252352 | -35.5008132523519 |
65 | 640 | 704.033393002662 | -64.0333930026619 |
66 | 540 | 701.386583283669 | -161.386583283669 |
67 | 740 | 694.715695530892 | 45.2843044691078 |
68 | 600 | 696.587514773419 | -96.5875147734189 |
69 | 860 | 692.595085810221 | 167.404914189779 |
70 | 1080 | 699.514740276544 | 380.485259723456 |
71 | 480 | 715.242035616455 | -235.242035616455 |
72 | 680 | 705.518344945255 | -25.5183449452552 |
73 | 650 | 704.463548373552 | -54.4635483735523 |
74 | 860 | 702.212306600999 | 157.787693399001 |
75 | 650 | 708.734434835068 | -58.7344348350675 |
76 | 630 | 706.306656676341 | -76.3066566763413 |
77 | 600 | 703.152533631411 | -103.152533631411 |
78 | 500 | 698.888740698511 | -198.888740698511 |
79 | 760 | 690.667707465786 | 69.3322925342136 |
80 | 590 | 693.533546321334 | -103.533546321334 |
81 | 800 | 689.254004291854 | 110.745995708146 |
82 | 1120 | 693.831671724965 | 426.168328275035 |
83 | 520 | 711.44726915486 | -191.44726915486 |
84 | 710 | 703.533827918776 | 6.46617208122439 |
85 | 600 | 703.801106073293 | -103.801106073293 |
86 | 880 | 699.510504505678 | 180.489495494322 |
87 | 700 | 706.971007978148 | -6.97100797814824 |
88 | 590 | 706.682862515249 | -116.682862515249 |
89 | 680 | 701.859795673666 | -21.8597956736655 |
90 | 530 | 700.956224631571 | -170.956224631571 |
91 | 730 | 693.88977733495 | 36.1102226650498 |
92 | 600 | 695.382387422016 | -95.3823874220162 |
93 | 880 | 691.439772198756 | 188.560227801244 |
94 | 1120 | 699.233878057539 | 420.766121942461 |
95 | 540 | 716.626176181329 | -176.626176181329 |
96 | 740 | 709.325362374292 | 30.6746376257078 |
97 | 580 | 710.593293451924 | -130.593293451924 |
98 | 850 | 705.19524124611 | 144.80475875389 |
99 | 670 | 711.180722021902 | -41.1807220219018 |
100 | 530 | 709.478523681761 | -179.478523681761 |
101 | 680 | 702.059808562111 | -22.0598085621114 |
102 | 540 | 701.147970020323 | -161.147970020323 |
103 | 760 | 694.486945307358 | 65.513054692642 |
104 | 620 | 697.194916597809 | -77.194916597809 |
105 | 910 | 694.004077475799 | 215.995922524201 |
106 | 1230 | 702.932233242527 | 527.067766757473 |
107 | 530 | 724.718492289637 | -194.718492289637 |
108 | 720 | 716.669835585808 | 3.33016441419227 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 716.807487381598 | 422.150380638071 | 1011.46459412512 |
110 | 716.807487381598 | 421.89876713195 | 1011.71620763124 |
111 | 716.807487381598 | 421.647368117319 | 1011.96760664588 |
112 | 716.807487381598 | 421.396183046571 | 1012.21879171662 |
113 | 716.807487381598 | 421.145211374427 | 1012.46976338877 |
114 | 716.807487381598 | 420.89445255792 | 1012.72052220527 |
115 | 716.807487381598 | 420.643906056382 | 1012.97106870681 |
116 | 716.807487381598 | 420.39357133143 | 1013.22140343177 |
117 | 716.807487381598 | 420.14344784695 | 1013.47152691624 |
118 | 716.807487381598 | 419.893535069091 | 1013.7214396941 |
119 | 716.807487381598 | 419.643832466243 | 1013.97114229695 |
120 | 716.807487381598 | 419.394339509029 | 1014.22063525417 |