Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0466491042254684 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 700 | 700 | 0 |
3 | 620 | 700 | -80 |
4 | 680 | 696.268071661962 | -16.2680716619625 |
5 | 700 | 695.509180691456 | 4.49081930854379 |
6 | 670 | 695.718673389438 | -25.7186733894382 |
7 | 660 | 694.518920313954 | -34.5189203139536 |
8 | 730 | 692.908643602477 | 37.0913563975226 |
9 | 680 | 694.638922152929 | -14.6389221529294 |
10 | 680 | 693.956029547669 | -13.9560295476689 |
11 | 650 | 693.304993270726 | -43.304993270726 |
12 | 800 | 691.284854126157 | 108.715145873843 |
13 | 660 | 696.356318296913 | -36.3563182969126 |
14 | 710 | 694.660328615426 | 15.3396713845743 |
15 | 660 | 695.375910544629 | -35.3759105446291 |
16 | 590 | 693.725656006562 | -103.725656006562 |
17 | 660 | 688.886947068657 | -28.8869470686567 |
18 | 710 | 687.539396864095 | 22.4606031359046 |
19 | 620 | 688.587163880749 | -68.587163880749 |
20 | 700 | 685.387634124347 | 14.6123658756533 |
21 | 690 | 686.069287903061 | 3.93071209693926 |
22 | 680 | 686.252652101351 | -6.25265210135126 |
23 | 640 | 685.96097148179 | -45.9609714817898 |
24 | 810 | 683.816933332832 | 126.183066667168 |
25 | 620 | 689.703260361278 | -69.703260361278 |
26 | 700 | 686.45166570383 | 13.5483342961702 |
27 | 720 | 687.083683362493 | 32.9163166375067 |
28 | 620 | 688.619200048035 | -68.6192000480348 |
29 | 630 | 685.418175833126 | -55.4181758331258 |
30 | 680 | 682.832967572701 | -2.83296757270102 |
31 | 670 | 682.700812173135 | -12.7008121731348 |
32 | 720 | 682.108330662322 | 37.8916693376779 |
33 | 660 | 683.875943094532 | -23.8759430945324 |
34 | 630 | 682.762151736634 | -52.7621517366342 |
35 | 620 | 680.300844621112 | -60.300844621112 |
36 | 810 | 677.487864235498 | 132.512135764502 |
37 | 540 | 683.669436667916 | -143.669436667916 |
38 | 690 | 676.96738614278 | 13.0326138572203 |
39 | 720 | 677.575345904935 | 42.4246540950645 |
40 | 620 | 679.554418015546 | -59.5544180155456 |
41 | 650 | 676.776257762451 | -26.7762577624513 |
42 | 690 | 675.527169323323 | 14.4728306766772 |
43 | 660 | 676.202313909997 | -16.2023139099967 |
44 | 700 | 675.446490479716 | 24.5535095202844 |
45 | 630 | 676.591889704428 | -46.5918897044285 |
46 | 590 | 674.418419785545 | -84.4184197855451 |
47 | 570 | 670.48037612242 | -100.48037612242 |
48 | 760 | 665.793056584071 | 94.2069434159291 |
49 | 500 | 670.187726106243 | -170.187726106243 |
50 | 660 | 662.248621133218 | -2.24862113321763 |
51 | 750 | 662.143724971611 | 87.8562750283894 |
52 | 680 | 666.242141502271 | 13.7578584977286 |
53 | 710 | 666.883933277251 | 43.1160667227488 |
54 | 620 | 668.895259167593 | -48.8952591675929 |
55 | 640 | 666.614339126553 | -26.6143391265526 |
56 | 720 | 665.372804046746 | 54.6271959532538 |
57 | 680 | 667.921113804315 | 12.0788861956854 |
58 | 580 | 668.484583025385 | -88.4845830253847 |
59 | 530 | 664.356856489486 | -134.356856489486 |
60 | 740 | 658.089229487702 | 81.910770512298 |
61 | 480 | 661.910293558519 | -181.910293558519 |
62 | 640 | 653.424341314622 | -13.4243413146216 |
63 | 690 | 652.798107817478 | 37.2018921825223 |
64 | 600 | 654.533542763285 | -54.5335427632848 |
65 | 640 | 651.989601843136 | -11.9896018431363 |
66 | 580 | 651.430297657134 | -71.4302976571339 |
67 | 690 | 648.09813825687 | 41.90186174313 |
68 | 690 | 650.052822572566 | 39.9471774274335 |
69 | 720 | 651.916322615892 | 68.0836773841079 |
70 | 550 | 655.092365178236 | -105.092365178236 |
71 | 510 | 650.189900481736 | -140.189900481736 |
72 | 680 | 643.650167202805 | 36.3498327971947 |
73 | 450 | 645.34585434154 | -195.34585434154 |
74 | 560 | 636.233145222348 | -76.2331452223483 |
75 | 730 | 632.676937285436 | 97.3230627145643 |
76 | 650 | 637.216970981549 | 12.7830290184509 |
77 | 680 | 637.813287834548 | 42.1867121654519 |
78 | 580 | 639.781260167284 | -59.7812601672841 |
79 | 750 | 636.992517931011 | 113.007482068989 |
80 | 670 | 642.264215740305 | 27.7357842596954 |
81 | 670 | 643.55806523101 | 26.4419347689897 |
82 | 590 | 644.791557801972 | -54.791557801972 |
83 | 480 | 642.235580711392 | -162.235580711392 |
84 | 810 | 634.667436197707 | 175.332563802293 |
85 | 350 | 642.846543240639 | -292.846543240639 |
86 | 570 | 629.185514322938 | -59.1855143229378 |
87 | 710 | 626.424563096649 | 83.5754369033508 |
88 | 650 | 630.323282363443 | 19.6767176365574 |
89 | 710 | 631.241183615285 | 78.7588163847146 |
90 | 510 | 634.91521184949 | -124.91521184949 |
91 | 800 | 629.088029112577 | 170.911970887423 |
92 | 680 | 637.060919455885 | 42.9390805441154 |
93 | 660 | 639.063989099533 | 20.9360109004672 |
94 | 620 | 640.040635254094 | -20.0406352540942 |
95 | 580 | 639.105757571381 | -59.1057575713814 |
96 | 830 | 636.348526926109 | 193.651473073891 |
97 | 480 | 645.382194676948 | -165.382194676948 |
98 | 550 | 637.667263440426 | -87.6672634404265 |
99 | 720 | 633.577664131032 | 86.4223358689676 |
100 | 620 | 637.609188684392 | -17.6091886843923 |
101 | 730 | 636.787735806128 | 93.2122641938719 |
102 | 520 | 641.1360044336 | -121.1360044336 |
103 | 870 | 635.48511833732 | 234.51488166268 |
104 | 660 | 646.425027494426 | 13.5749725055742 |
105 | 650 | 647.058287801696 | 2.94171219830378 |
106 | 620 | 647.195516040636 | -27.1955160406362 |
107 | 560 | 645.926869578391 | -85.9268695783912 |
108 | 820 | 641.918458083661 | 178.081541916339 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 650.225802493148 | 480.615808618178 | 819.835796368119 |
110 | 650.225802493148 | 480.431361454435 | 820.020243531861 |
111 | 650.225802493148 | 480.247114437761 | 820.204490548535 |
112 | 650.225802493148 | 480.063066918017 | 820.388538068279 |
113 | 650.225802493148 | 479.879218248575 | 820.572386737721 |
114 | 650.225802493148 | 479.695567786294 | 820.756037200002 |
115 | 650.225802493148 | 479.512114891491 | 820.939490094805 |
116 | 650.225802493148 | 479.328858927917 | 821.122746058379 |
117 | 650.225802493148 | 479.145799262732 | 821.305805723564 |
118 | 650.225802493148 | 478.962935266476 | 821.48866971982 |
119 | 650.225802493148 | 478.780266313048 | 821.671338673248 |
120 | 650.225802493148 | 478.597791779677 | 821.85381320662 |