Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0413348347616346 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 720 | 630 | 90 |
3 | 740 | 633.720135128547 | 106.279864871453 |
4 | 720 | 638.113195781497 | 81.8868042185026 |
5 | 720 | 641.497973303028 | 78.5020266969724 |
6 | 690 | 644.742841605 | 45.2571583949996 |
7 | 790 | 646.613538769039 | 143.386461230961 |
8 | 760 | 652.540394451076 | 107.459605548924 |
9 | 840 | 656.982219489991 | 183.017780510009 |
10 | 840 | 664.547229205814 | 175.452770794186 |
11 | 640 | 671.799540495062 | -31.7995404950623 |
12 | 840 | 670.485111743203 | 169.514888256797 |
13 | 590 | 677.491981638935 | -87.4919816389346 |
14 | 770 | 673.875515034921 | 96.1244849650788 |
15 | 750 | 677.8488047375 | 72.1511952625 |
16 | 590 | 680.83116247153 | -90.8311624715299 |
17 | 730 | 677.076671379562 | 52.923328620438 |
18 | 740 | 679.264248423123 | 60.7357515768765 |
19 | 770 | 681.774750678677 | 88.2252493213226 |
20 | 660 | 685.421526781178 | -25.4215267811783 |
21 | 830 | 684.37073217229 | 145.62926782771 |
22 | 900 | 690.390293894406 | 209.609706105594 |
23 | 630 | 699.054476460715 | -69.0544764607155 |
24 | 770 | 696.200121086661 | 73.7998789133394 |
25 | 640 | 699.250626886972 | -59.2506268869721 |
26 | 700 | 696.801512015076 | 3.1984879849241 |
27 | 760 | 696.93372098742 | 63.0662790125801 |
28 | 500 | 699.540555209436 | -199.540555209436 |
29 | 740 | 691.292579331609 | 48.7074206683909 |
30 | 740 | 693.305892516602 | 46.6941074833976 |
31 | 680 | 695.235985733771 | -15.2359857337707 |
32 | 580 | 694.606208781035 | -114.606208781035 |
33 | 780 | 689.868980078413 | 90.1310199215868 |
34 | 990 | 693.59453089377 | 296.40546910623 |
35 | 630 | 705.84640198172 | -75.8464019817204 |
36 | 780 | 702.711303488541 | 77.2886965114585 |
37 | 630 | 705.906018987785 | -75.9060189877847 |
38 | 780 | 702.768456235511 | 77.2315437644888 |
39 | 730 | 705.960809335402 | 24.0391906645978 |
40 | 490 | 706.954465309327 | -216.954465309327 |
41 | 710 | 697.986688334967 | 12.013311665033 |
42 | 700 | 698.483256587581 | 1.51674341241892 |
43 | 740 | 698.545950925909 | 41.4540490740908 |
44 | 520 | 700.259447194587 | -180.259447194587 |
45 | 730 | 692.808452730576 | 37.1915472694244 |
46 | 1110 | 694.345759191487 | 415.654240808513 |
47 | 510 | 711.526758553279 | -201.526758553279 |
48 | 750 | 703.196683288432 | 46.8033167115683 |
49 | 690 | 705.131290651001 | -15.1312906510009 |
50 | 740 | 704.505841252211 | 35.4941587477886 |
51 | 690 | 705.972986439054 | -15.9729864390545 |
52 | 640 | 705.312745683946 | -65.3127456839463 |
53 | 660 | 702.613054133272 | -42.6130541332717 |
54 | 580 | 700.851650581984 | -120.851650581984 |
55 | 760 | 695.856267574507 | 64.1437324254928 |
56 | 510 | 698.507638155309 | -188.507638155309 |
57 | 810 | 690.715706080854 | 119.284293919146 |
58 | 1050 | 695.64630265966 | 354.35369734034 |
59 | 510 | 710.293454186397 | -200.293454186397 |
60 | 740 | 702.014357353765 | 37.9856426462346 |
61 | 690 | 703.584487615862 | -13.584487615862 |
62 | 800 | 703.022975064939 | 96.9770249350611 |
63 | 670 | 707.031504366305 | -37.0315043663046 |
64 | 670 | 705.500813252349 | -35.5008132523486 |
65 | 640 | 704.033393002659 | -64.0333930026592 |
66 | 540 | 701.386583283668 | -161.386583283668 |
67 | 740 | 694.715695530892 | 45.2843044691076 |
68 | 600 | 696.587514773419 | -96.5875147734185 |
69 | 860 | 692.595085810222 | 167.404914189778 |
70 | 1080 | 699.514740276542 | 380.485259723458 |
71 | 480 | 715.242035616449 | -235.242035616449 |
72 | 680 | 705.518344945253 | -25.5183449452527 |
73 | 650 | 704.46354837355 | -54.4635483735502 |
74 | 860 | 702.212306600997 | 157.787693399003 |
75 | 650 | 708.734434835064 | -58.7344348350645 |
76 | 630 | 706.306656676339 | -76.3066566763391 |
77 | 600 | 703.15253363141 | -103.15253363141 |
78 | 500 | 698.888740698512 | -198.888740698512 |
79 | 760 | 690.667707465789 | 69.332292534211 |
80 | 590 | 693.533546321336 | -103.533546321336 |
81 | 800 | 689.254004291858 | 110.745995708142 |
82 | 1120 | 693.831671724966 | 426.168328275034 |
83 | 520 | 711.447269154857 | -191.447269154857 |
84 | 710 | 703.533827918775 | 6.46617208122541 |
85 | 600 | 703.801106073292 | -103.801106073292 |
86 | 880 | 699.510504505678 | 180.489495494322 |
87 | 700 | 706.971007978147 | -6.97100797814653 |
88 | 590 | 706.682862515248 | -116.682862515248 |
89 | 680 | 701.859795673666 | -21.8597956736655 |
90 | 530 | 700.956224631571 | -170.956224631571 |
91 | 730 | 693.889777334953 | 36.1102226650474 |
92 | 600 | 695.382387422018 | -95.3823874220182 |
93 | 880 | 691.439772198759 | 188.560227801241 |
94 | 1120 | 699.233878057539 | 420.766121942461 |
95 | 540 | 716.626176181325 | -176.626176181325 |
96 | 740 | 709.32536237429 | 30.6746376257097 |
97 | 580 | 710.593293451922 | -130.593293451922 |
98 | 850 | 705.195241246109 | 144.804758753891 |
99 | 670 | 711.1807220219 | -41.1807220218996 |
100 | 530 | 709.478523681759 | -179.478523681759 |
101 | 680 | 702.059808562112 | -22.0598085621118 |
102 | 540 | 701.147970020324 | -161.147970020324 |
103 | 760 | 694.486945307361 | 65.5130546926392 |
104 | 620 | 697.194916597811 | -77.1949165978109 |
105 | 910 | 694.004077475802 | 215.995922524198 |
106 | 1230 | 702.932233242527 | 527.067766757473 |
107 | 530 | 724.718492289631 | -194.718492289631 |
108 | 720 | 716.669835585804 | 3.33016441419579 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 716.807487381594 | 422.150380638069 | 1011.46459412512 |
110 | 716.807487381594 | 421.898767131948 | 1011.71620763124 |
111 | 716.807487381594 | 421.647368117317 | 1011.96760664587 |
112 | 716.807487381594 | 421.396183046569 | 1012.21879171662 |
113 | 716.807487381594 | 421.145211374425 | 1012.46976338876 |
114 | 716.807487381594 | 420.894452557919 | 1012.72052220527 |
115 | 716.807487381594 | 420.643906056381 | 1012.97106870681 |
116 | 716.807487381594 | 420.393571331428 | 1013.22140343176 |
117 | 716.807487381594 | 420.143447846949 | 1013.47152691624 |
118 | 716.807487381594 | 419.89353506909 | 1013.7214396941 |
119 | 716.807487381594 | 419.643832466242 | 1013.97114229695 |
120 | 716.807487381594 | 419.394339509028 | 1014.22063525416 |