Structural Time Series Model -- Interpolation | |||||
t | Observed | Level | Slope | Seasonal | Stand. Residuals |
1 | 876 | 876 | 0 | 0 | 0 |
2 | 80 | 739.438749195005 | -33.3220206605988 | -33.3220205348117 | -2.01923066414354 |
3 | 2492 | 1087.58306393684 | 38.1018254357293 | 38.1018254357295 | 4.50939248034477 |
4 | 529 | 979.973303932834 | 15.8699931644057 | 15.8699931644059 | -1.5570452125706 |
5 | 606 | 899.705963235652 | 3.47308164820641 | 3.47308164820645 | -0.993162821793446 |
6 | 164 | 727.0908317746 | -16.2007259784725 | -16.2007259784725 | -1.8228229709314 |
7 | 138 | 580.922619187341 | -29.0138563473428 | -29.0138563473428 | -1.37296834332832 |
8 | 601 | 569.724252555796 | -27.4420240817724 | -27.4420240817724 | 0.193698476976906 |
9 | 789 | 603.186144293527 | -22.5784647928153 | -22.5784647928153 | 0.683666790610218 |
10 | 146 | 491.517914956846 | -29.0780586781537 | -29.0780586781537 | -1.03278837238338 |
11 | 218 | 417.080997875086 | -32.1250814214804 | -32.1250814214804 | -0.54235916812559 |
12 | 939 | 505.391078170931 | -24.6255953456375 | -24.6255953456375 | 1.48237174917282 |
13 | 980 | 500.007986159133 | -26.3892987025275 | 290.282285492394 | 0.595319183140863 |
14 | 610 | 510.88694443126 | -24.2367947376862 | -24.2367945397662 | 0.405283623316625 |
15 | 583 | 512.674740060703 | -22.845765358367 | -22.8457653583668 | 0.303173884835969 |
16 | 432 | 482.623271389128 | -23.2041060878576 | -23.2041060878573 | -0.0885846930375662 |
17 | 558 | 483.580241122641 | -22.0805699488624 | -22.0805699488624 | 0.310072275567726 |
18 | 281 | 431.018762050732 | -23.4121881220843 | -23.4121881220845 | -0.405073326121314 |
19 | 139 | 361.609892540563 | -25.3081488707346 | -25.3081488707345 | -0.629104030930546 |
20 | 778 | 422.070482720478 | -21.9593146145478 | -21.9593146145478 | 1.20155925323065 |
21 | 517 | 425.158292189384 | -21.0296182158756 | -21.0296182158756 | 0.35806642663742 |
22 | 609 | 444.260310192411 | -19.6089255308014 | -19.6089255308015 | 0.583687924108384 |
23 | 344 | 413.949137626832 | -19.9713304610657 | -19.9713304610656 | -0.157981544109141 |
24 | 809 | 469.374910523672 | -17.522657185651 | -17.522657185651 | 1.12737161976886 |
25 | 188 | 397.569526318746 | -15.9597770816653 | 175.557547775094 | -1.19942315525601 |
26 | 318 | 372.753193421795 | -16.2617504899261 | -16.26175035456 | -0.122494099128302 |
27 | 201 | 331.302945842809 | -17.0718490548621 | -17.0718490548619 | -0.359129047889253 |
28 | 608 | 369.244820809619 | -15.3960112822708 | -15.3960112822707 | 0.803927333770569 |
29 | 43 | 302.493843449414 | -16.8835004431474 | -16.8835004431474 | -0.765773714497092 |
30 | 622 | 346.102148770622 | -15.2114790923615 | -15.2114790923615 | 0.917244524248058 |
31 | 746 | 403.655709210837 | -13.2858241001908 | -13.2858241001907 | 1.11891522768868 |
32 | 285 | 374.96350149249 | -13.6773646315364 | -13.6773646315363 | -0.239726910574469 |
33 | 757 | 429.162505994994 | -12.0162400056723 | -12.0162400056724 | 1.06688358826427 |
34 | 861 | 492.14183284799 | -10.2445078567249 | -10.244507856725 | 1.18905149637025 |
35 | 35 | 410.546997525462 | -11.8753073717334 | -11.8753073717333 | -1.13978943193998 |
36 | 267 | 379.211833180078 | -12.3064792401999 | -12.3064792401999 | -0.312908945507047 |
37 | 815 | 406.78087175292 | -13.0016379975075 | 143.018017715471 | 0.823700986968751 |
38 | 501 | 414.361401771169 | -12.5007087160452 | -12.5007084903039 | 0.312260742447803 |
39 | 977 | 500.815473810528 | -10.2120647937939 | -10.2120647937936 | 1.52915914829383 |
40 | 740 | 533.729684845435 | -9.26051205094414 | -9.26051205094396 | 0.676575126367348 |
41 | 950 | 595.887283932422 | -7.75173865542915 | -7.75173865542914 | 1.13452782105867 |
42 | 616 | 593.93091110045 | -7.63412139810453 | -7.63412139810466 | 0.0930308931766347 |
43 | 848 | 629.775652526437 | -6.78383420404864 | -6.78383420404853 | 0.704124047753677 |
44 | 770 | 647.651221695587 | -6.31785595321795 | -6.31785595321795 | 0.402347780858786 |
45 | 887 | 681.504281143067 | -5.58254683337235 | -5.58254683337236 | 0.659645203793752 |
46 | 808 | 697.758220686799 | -5.19449994117185 | -5.19449994117192 | 0.360560435466249 |
47 | 326 | 635.489178837268 | -6.18112513165607 | -6.18112513165598 | -0.946933096574282 |
48 | 932 | 677.906853671835 | -5.36244430960655 | -5.36244430960659 | 0.80969840757137 |
49 | 649 | 661.684483622003 | -5.22672073628285 | 57.4939277881314 | -0.217677151361998 |
50 | 916 | 699.896310994554 | -4.40374000100629 | -4.40373975978551 | 0.691109544151941 |
51 | 857 | 722.392602919211 | -3.91747738658874 | -3.91747738658839 | 0.433614143594353 |
52 | 894 | 747.286577142846 | -3.41865360070071 | -3.41865360070051 | 0.469462564927615 |
53 | 418 | 692.513776050799 | -4.27324179102809 | -4.273241791028 | -0.84432119135364 |
54 | 464 | 653.445621530474 | -4.83158672494424 | -4.83158672494443 | -0.57638564602911 |
55 | 477 | 622.383264907771 | -5.2386675113644 | -5.23866751136427 | -0.437285520869377 |
56 | 340 | 574.589108565301 | -5.87908079950583 | -5.87908079950584 | -0.713269556555522 |
57 | 327 | 531.95483082135 | -6.41672224546272 | -6.41672224546273 | -0.618905130345706 |
58 | 776 | 565.429335008147 | -5.84833513489547 | -5.84833513489553 | 0.674393557360561 |
59 | 192 | 503.582622778907 | -6.62701163798682 | -6.6270116379867 | -0.949978821577287 |
60 | 819 | 547.696666333649 | -5.93727181347852 | -5.93727181347855 | 0.863398166868303 |
61 | 323 | 503.701292498968 | -5.56670205559422 | 61.2337224716252 | -0.749830883906042 |
62 | 39 | 425.642197897141 | -6.69129166700592 | -6.69129140694704 | -1.18737154705147 |
63 | 207 | 386.444103772255 | -7.17366894519414 | -7.17366894519378 | -0.537847153753431 |
64 | 614 | 417.291080854246 | -6.63193025767073 | -6.63193025767083 | 0.634358698285226 |
65 | 520 | 428.772110710856 | -6.38325365876926 | -6.38325365876929 | 0.30431928685316 |
66 | 801 | 482.200341263759 | -5.58949151554921 | -5.58949151554926 | 1.01079272981744 |
67 | 92 | 417.990560932672 | -6.34366069017282 | -6.34366069017269 | -0.995563201542281 |
68 | 747 | 464.293492622501 | -5.68534349695848 | -5.68534349695849 | 0.89787042813837 |
69 | 412 | 452.323539293134 | -5.76190277556422 | -5.76190277556423 | -0.107567628715809 |
70 | 570 | 466.347549748135 | -5.52659819465074 | -5.52659819465079 | 0.339705909583606 |
Structural Time Series Model -- Extrapolation | |||
t | Observed | Level | Seasonal |
1 | 134.948058300343 | 433.291195736969 | -298.343137436626 |
2 | 723.514426809191 | 403.976852637933 | 319.537574171258 |
3 | 356.198016437138 | 374.662509538897 | -18.464493101759 |
4 | 204.620106319156 | 345.348166439861 | -140.728060120705 |
5 | 294.436058057723 | 316.033823340825 | -21.5977652831019 |
6 | 495.972674517191 | 286.719480241789 | 209.253194275402 |
7 | 216.872440631402 | 257.405137142753 | -40.5326965113509 |
8 | 402.018225819967 | 228.090794043717 | 173.927431776251 |
9 | -186.321520403759 | 198.776450944681 | -385.09797134844 |
10 | 325.4066803707 | 169.462107845645 | 155.944572525055 |
11 | 45.6432652841833 | 140.147764746609 | -94.5044994624253 |
12 | 251.439272164014 | 110.833421647572 | 140.605850516442 |
13 | -216.82405888809 | 81.5190785485364 | -298.343137436626 |
14 | 371.742309620758 | 52.2047354495003 | 319.537574171258 |
15 | 4.42589924870522 | 22.8903923504642 | -18.464493101759 |
16 | -147.152010869277 | -6.42395074857185 | -140.728060120705 |
17 | -57.3360591307099 | -35.7382938476079 | -21.5977652831019 |
18 | 144.200557328758 | -65.052636946644 | 209.253194275402 |