| Structural Time Series Model -- Interpolation | |||||
| t | Observed | Level | Slope | Seasonal | Stand. Residuals |
| 1 | 3830.8 | 3830.8 | 0 | 0 | 0 |
| 2 | 3732.6 | 3737.16648290901 | -14.9495221726765 | -4.56648290900555 | -1.96467826524488 |
| 3 | 3733.5 | 3738.18173574763 | -8.63524293686449 | -4.68173574763179 | 0.456928137425495 |
| 4 | 3808.5 | 3813.5266415877 | 27.5692375179069 | -5.02664158770362 | 2.34098542009954 |
| 5 | 3860.5 | 3865.58268245488 | 38.4108084118853 | -5.08268245487891 | 0.677234877165529 |
| 6 | 3844.4 | 3849.41354931473 | 14.0382796479509 | -5.01354931472908 | -1.50651872804929 |
| 7 | 3864.5 | 3869.51779191964 | 16.754747306958 | -5.01779191963627 | 0.167373388027878 |
| 8 | 3803.1 | 3808.08762156376 | -18.293402930622 | -4.98762156375733 | -2.15736458926796 |
| 9 | 3756.1 | 3761.08151044507 | -31.1694629474513 | -4.9815104450718 | -0.792341996436287 |
| 10 | 3771.1 | 3776.08693026831 | -10.4592800436391 | -4.98693026831379 | 1.27430816214484 |
| 11 | 3754.4 | 3759.38652629804 | -13.2587271687332 | -4.98652629804247 | -0.172246693797902 |
| 12 | 3759.6 | 3764.5871851666 | -4.97850673903523 | -4.98718516659574 | 0.509467991879174 |
| 13 | 3783.5 | 3736.41868978367 | -15.0668473229366 | 47.0813102163304 | -0.728189688735594 |
| 14 | 3886.5 | 3887.22367028486 | 52.3396101524358 | -0.723670284862525 | 3.7269789676856 |
| 15 | 3944.4 | 3945.13978933812 | 54.8553803170647 | -0.739789338115415 | 0.152930158479818 |
| 16 | 4012.1 | 4012.86027781913 | 60.6322950803448 | -0.760277819133647 | 0.354139054804865 |
| 17 | 4089.5 | 4090.27501664539 | 68.1599485916095 | -0.775016645394142 | 0.462645134729857 |
| 18 | 4144 | 4144.76839700421 | 62.0308703767303 | -0.76839700420865 | -0.376982433047262 |
| 19 | 4166.4 | 4167.15780752831 | 44.2518938301295 | -0.757807528310551 | -1.09379350572473 |
| 20 | 4194.2 | 4194.95538354139 | 36.871715396224 | -0.755383541387527 | -0.454074017430514 |
| 21 | 4221.8 | 4222.55463026653 | 32.7125680059376 | -0.754630266529469 | -0.255901946518255 |
| 22 | 4254.8 | 4255.55464314337 | 32.841504921216 | -0.754643143365407 | 0.00793321892617359 |
| 23 | 4309 | 4309.755170769 | 42.4225347753111 | -0.755170768996969 | 0.589501933875371 |
| 24 | 4333.5 | 4334.25492663065 | 34.3828173168468 | -0.754926630647856 | -0.494668315689898 |
| 25 | 4390.5 | 4380.36953492997 | 39.5715801401471 | 10.1304650700294 | 0.3456058968501 |
| 26 | 4387.7 | 4389.04537456236 | 26.5476035784904 | -1.34537456236095 | -0.755829997012713 |
| 27 | 4412.6 | 4413.9422840123 | 25.8044009698228 | -1.34228401230006 | -0.0453712644318577 |
| 28 | 4427.1 | 4428.43060777846 | 20.7248771220181 | -1.33060777845529 | -0.311790704031371 |
| 29 | 4460 | 4461.33753929506 | 26.1892194482507 | -1.33753929505774 | 0.33596743950124 |
| 30 | 4515.3 | 4516.64667695369 | 39.2498160292586 | -1.34667695369008 | 0.803416833374424 |
| 31 | 4559.3 | 4560.64749911326 | 41.3807615447572 | -1.34749911326209 | 0.131104237328186 |
| 32 | 4625.5 | 4626.84986781531 | 52.5143714510647 | -1.34986781531248 | 0.685015808922636 |
| 33 | 4655.3 | 4656.64867244474 | 42.3250818929511 | -1.34867244474483 | -0.626923635234447 |
| 34 | 4704.8 | 4706.14888065385 | 45.5436210767587 | -1.34888065384846 | 0.198030191933138 |
| 35 | 4734.5 | 4735.8486271302 | 38.4364643028735 | -1.34862713020201 | -0.43728952202098 |
| 36 | 4779.7 | 4781.04868680888 | 41.470461059029 | -1.34868680887695 | 0.18667598890538 |
| 37 | 4817.6 | 4804.58248056569 | 33.4979728599454 | 13.0175194343065 | -0.517127907503195 |
| 38 | 4839 | 4840.16237129267 | 34.3904754791317 | -1.16237129267492 | 0.0527553922958677 |
| 39 | 4839 | 4840.11468844423 | 18.9000073716232 | -1.11468844422868 | -0.947597829489724 |
| 40 | 4856.7 | 4857.81377191323 | 18.3610329037732 | -1.11377191323138 | -0.0331037726064103 |
| 41 | 4890.8 | 4891.92039844821 | 25.4239259221105 | -1.12039844821359 | 0.434333906190577 |
| 42 | 4902.7 | 4903.81725899798 | 19.3566427259595 | -1.11725899798342 | -0.373247625443854 |
| 43 | 4882.6 | 4883.71220843337 | 1.65650405304634 | -1.11220843337285 | -1.0890018437035 |
| 44 | 4833.8 | 4834.90864708396 | -20.9775876331307 | -1.10864708396321 | -1.39261145836413 |
| 45 | 4796.7 | 4797.80801959266 | -28.2098256156984 | -1.10801959266372 | -0.444983745077702 |
| Structural Time Series Model -- Extrapolation | |||
| t | Observed | Level | Seasonal |
| 1 | 4783.34766545608 | 4793.74913414872 | -10.401468692638 |
| 2 | 4759.52383437868 | 4779.08055185929 | -19.5567174806144 |
| 3 | 4737.97971224378 | 4764.41196956987 | -26.4322573260896 |
| 4 | 4736.73991562335 | 4749.74338728044 | -13.003471657095 |
| 5 | 4709.85879725165 | 4735.07480499102 | -25.21600773937 |
| 6 | 4697.83746049512 | 4720.40622270159 | -22.5687622064749 |
| 7 | 4708.40091235352 | 4705.73764041216 | 2.66327194135654 |
| 8 | 4724.12416884624 | 4691.06905812274 | 33.0551107234985 |
| 9 | 4716.93224810009 | 4676.40047583331 | 40.5317722667817 |
| 10 | 4699.72515342544 | 4661.73189354389 | 37.9932598815577 |
| 11 | 4661.65288416785 | 4647.06331125446 | 14.5895729133878 |
| 12 | 4620.74042634073 | 4632.39472896503 | -11.6543026243002 |
