Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.90268835297018 |
beta | 0.176277296760850 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 692.4 | 684.005145123652 | 8.39485487634829 |
14 | 695.7 | 696.594880733925 | -0.894880733925334 |
15 | 697.2 | 698.486464448622 | -1.28646444862147 |
16 | 696.8 | 697.544674972548 | -0.744674972548069 |
17 | 696.4 | 696.955381403424 | -0.555381403424462 |
18 | 695.9 | 696.451132961243 | -0.551132961242729 |
19 | 696.2 | 702.754426404273 | -6.55442640427282 |
20 | 697.2 | 696.253012988138 | 0.946987011861552 |
21 | 705.2 | 696.560081459623 | 8.63991854037715 |
22 | 706.2 | 705.405656445939 | 0.794343554061243 |
23 | 707.4 | 709.157720691802 | -1.75772069180198 |
24 | 708.7 | 712.198845026445 | -3.49884502644522 |
25 | 710 | 713.99324936466 | -3.99324936466064 |
26 | 711.3 | 713.02706703545 | -1.72706703544986 |
27 | 711.5 | 712.493418892771 | -0.993418892770933 |
28 | 710.7 | 710.239579364326 | 0.460420635674041 |
29 | 710 | 709.324137741663 | 0.67586225833702 |
30 | 709.2 | 708.699841314163 | 0.500158685837505 |
31 | 707.9 | 714.412560412607 | -6.51256041260751 |
32 | 706.1 | 707.641520449921 | -1.54152044992099 |
33 | 704.4 | 705.013467569147 | -0.613467569147474 |
34 | 702.7 | 701.865790811907 | 0.834209188093041 |
35 | 701.5 | 702.531651568538 | -1.03165156853834 |
36 | 700.8 | 703.275296545231 | -2.47529654523146 |
37 | 700 | 703.297219569422 | -3.29721956942183 |
38 | 699.3 | 700.648722065727 | -1.34872206572754 |
39 | 698.8 | 698.076857128041 | 0.723142871959453 |
40 | 698.4 | 695.380860079703 | 3.01913992029665 |
41 | 696.8 | 695.078022781015 | 1.72197721898533 |
42 | 695.1 | 693.837713310525 | 1.26228668947465 |
43 | 694.3 | 698.009258771678 | -3.70925877167838 |
44 | 693.4 | 693.235055135697 | 0.164944864302583 |
45 | 692.4 | 691.501613878311 | 0.898386121688645 |
46 | 691 | 689.385493647455 | 1.61450635254516 |
47 | 689.7 | 690.189028164016 | -0.489028164015735 |
48 | 688.3 | 690.948805642573 | -2.64880564257339 |
49 | 686 | 690.351764831617 | -4.35176483161717 |
50 | 683.6 | 686.406798071727 | -2.80679807172692 |
51 | 682.6 | 681.981412809902 | 0.618587190098424 |
52 | 681.9 | 678.708019538264 | 3.19198046173631 |
53 | 681 | 677.77273079973 | 3.2272692002698 |
54 | 679.9 | 677.422359559103 | 2.47764044089661 |
55 | 678.5 | 681.856404706074 | -3.35640470607404 |
56 | 677.5 | 677.551304835978 | -0.0513048359782715 |
57 | 678 | 675.451583691593 | 2.54841630840667 |
58 | 679 | 674.938154678045 | 4.06184532195516 |
59 | 679.8 | 678.141321272975 | 1.65867872702495 |
60 | 681.3 | 681.338164067972 | -0.0381640679718203 |
61 | 684.2 | 684.055026479838 | 0.144973520162011 |
62 | 687 | 686.186362589232 | 0.813637410768251 |
63 | 688.4 | 687.816370682944 | 0.583629317056079 |
64 | 689.5 | 687.18791274486 | 2.31208725513989 |
65 | 691.1 | 687.728357004058 | 3.37164299594247 |
66 | 693.3 | 689.708947950441 | 3.59105204955858 |
67 | 695.9 | 697.115371278848 | -1.21537127884847 |
68 | 698 | 697.904808626593 | 0.0951913734072605 |
69 | 699.6 | 699.026130401835 | 0.573869598164947 |
70 | 701.6 | 699.349291524335 | 2.25070847566496 |
71 | 703.5 | 702.908244756669 | 0.591755243331249 |
72 | 705.5 | 707.103683877399 | -1.60368387739868 |
73 | 708.1 | 710.35574720215 | -2.25574720215036 |
74 | 709.6 | 711.910659925909 | -2.31065992590914 |
75 | 710.3 | 711.67951757201 | -1.37951757200995 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 710.051098077342 | 704.612480579747 | 715.489715574936 |
77 | 708.820264466602 | 700.900829447093 | 716.739699486111 |
78 | 707.460950791398 | 697.154156568736 | 717.767745014059 |
79 | 710.364874086449 | 697.59574101564 | 723.134007157258 |
80 | 711.748664191939 | 696.475068322154 | 727.022260061723 |
81 | 712.16666262262 | 694.330986273687 | 730.002338971553 |
82 | 711.360379630604 | 690.913822607338 | 731.806936653871 |
83 | 711.616771213069 | 688.44968128461 | 734.783861141527 |
84 | 713.883003828457 | 687.841054684109 | 739.924952972805 |
85 | 717.606573058886 | 688.535385202097 | 746.677760915676 |
86 | 720.63167034423 | 688.454354912587 | 752.808985775873 |
87 | 722.368428596778 | 687.041333199465 | 757.695523994091 |