| Structural Time Series Model -- Interpolation | |||||
| t | Observed | Level | Slope | Seasonal | Stand. Residuals |
| 1 | 1880 | 1880 | 0 | 0 | 0 |
| 2 | 3600 | 3097.56205892772 | 1171.23803204617 | 28.8424716418154 | 1.4055070328187 |
| 3 | 4600 | 4530.24497530183 | 1361.97959906502 | 20.4927593438775 | 0.192967152634757 |
| 4 | 6560 | 6435.26683545874 | 1753.28795277865 | 23.3288072513489 | 0.398359292780398 |
| 5 | 7840 | 7878.0540311917 | 1527.72990057718 | 19.2225208400936 | -0.226328985849614 |
| 6 | 8560 | 8675.52132914512 | 996.505569878577 | 18.6586786041259 | -0.531381560037337 |
| 7 | 10120 | 10029.6881266118 | 1256.75247400926 | 24.594923128024 | 0.260300699833032 |
| 8 | 9240 | 9546.98074711048 | -8.97399921603369 | 12.63656583472 | -1.26598527379522 |
| 9 | 9320 | 9334.31378448745 | -157.184965580403 | 23.1114155422187 | -0.148239715682723 |
| 10 | 7000 | 7327.03995389979 | -1503.30175205792 | 12.8710381981701 | -1.34637559550441 |
| 11 | 3960 | 4235.34114526674 | -2659.00183430518 | 16.4872655151028 | -1.15592226091667 |
| 12 | 4680 | 4167.40570184841 | -773.770511695396 | 36.550327206676 | 1.88559373806938 |
| 13 | 3920 | 3921.14929803175 | -399.556142969269 | -95.6422069152869 | 0.419876118984964 |
| 14 | 1560 | 1800.90678944649 | -1493.69981033166 | -28.0032627275953 | -1.00981525239274 |
| 15 | 4800 | 4102.18516793084 | 1262.73291927409 | 6.37903028085606 | 2.7535105530263 |
| 16 | 5240 | 5288.43897460432 | 1207.22585336704 | -34.7103785532093 | -0.0549362991003821 |
| 17 | 8000 | 7781.59345532728 | 2138.39488139976 | -14.7550807334872 | 0.929778730661267 |
| 18 | 9760 | 9819.9257691933 | 2065.82728949197 | -41.7016752110627 | -0.0725809761854845 |
| 19 | 9800 | 10150.5654585586 | 806.646725025798 | -34.3199065452722 | -1.25941382012339 |
| 20 | 9280 | 9580.57294578986 | -192.390010218977 | -49.6638064961809 | -0.999221355728538 |
| 21 | 7680 | 7967.79501020679 | -1223.11650633083 | -28.9244917786772 | -1.03092373355862 |
| 22 | 7760 | 7613.99323861405 | -592.306956450901 | -12.4235044330048 | 0.630930844593246 |
| 23 | 5680 | 5939.35304731978 | -1377.68188685812 | -62.1030822661012 | -0.785525913645241 |
| 24 | 4560 | 4570.58901490986 | -1371.21158674036 | -12.2140540652225 | 0.00647156861864807 |
| 25 | 1560 | 1719.47479383607 | -2431.22183031062 | 107.023098733926 | -1.13035230924717 |
| 26 | 3680 | 3107.56041135965 | 104.860199428382 | 29.3260699633232 | 2.41861367058804 |
| 27 | 4200 | 3979.3720157272 | 659.88530438336 | 81.8706393271273 | 0.555320761948135 |
| 28 | 7400 | 6945.24091685436 | 2329.37641603943 | 42.0075531302392 | 1.65744642077317 |
| 29 | 7040 | 7370.96327948214 | 953.567804430086 | 12.0810473297371 | -1.37433358618646 |
| 30 | 8480 | 8415.51193773191 | 1019.39269587809 | 48.0393023807702 | 0.0658370837006124 |
| 31 | 9720 | 9636.04400500659 | 1164.98483049854 | 47.5722433174172 | 0.145619384363436 |
| 32 | 9760 | 9900.22252984221 | 512.924328020511 | 22.7281509294376 | -0.652182089704185 |
| 33 | 9440 | 9574.1641304689 | -94.3600162903542 | 17.5980456135188 | -0.607400677917602 |
| 34 | 7240 | 7546.48761871428 | -1493.72890562773 | 43.2193578694599 | -1.39963810044027 |
| 35 | 5080 | 5226.99378080404 | -2091.42489771294 | 2.37245499077616 | -0.597810922640953 |
| 36 | 4080 | 3862.42959677842 | -1565.44181046517 | 86.1260897989627 | 0.526095955715066 |
| 37 | 5120 | 4829.99378648439 | 253.519880324114 | -165.453862503629 | 1.89940003166625 |
| 38 | 4400 | 4501.46694648205 | -141.445022162301 | -13.1346969090761 | -0.382234265746469 |
| 39 | 5160 | 5023.63076375442 | 337.336135549339 | 17.0997209347614 | 0.479490708684022 |
| 40 | 6680 | 6429.8029991857 | 1109.42094718306 | 59.703462320999 | 0.767753304301759 |
| 41 | 8240 | 8146.8034594166 | 1547.65587822335 | -15.6246981275744 | 0.437849580331804 |
| 42 | 8960 | 9077.13062783013 | 1102.0059918677 | -6.26425478343919 | -0.445732232624723 |
| 43 | 9280 | 9406.8332343574 | 544.263456239307 | 11.9268002189376 | -0.55784748645159 |
| 44 | 9880 | 9894.27236883984 | 503.224671255255 | -4.06241594624216 | -0.0410464634489105 |
| 45 | 8480 | 8784.59051589436 | -661.587808299875 | -14.7974126703989 | -1.16503572624498 |
| 46 | 7320 | 7419.82327159031 | -1169.40362704719 | 26.5161521107355 | -0.507913612782361 |
| 47 | 4880 | 5128.5927054122 | -1979.53918919666 | -47.0392198199636 | -0.810291296252794 |
| 48 | 5280 | 4905.82995703988 | -711.307721493009 | 58.6501314055602 | 1.26855392427039 |
| 49 | 4080 | 4156.31493379288 | -738.761048243326 | -69.4662439155301 | -0.0283343409184451 |
| 50 | 4720 | 4539.63773587415 | 32.5001488789236 | 3.61714749513179 | 0.752702196125188 |
| 51 | 6360 | 6062.44269143091 | 1104.95460092962 | 31.3002200959306 | 1.07469498038679 |
| 52 | 5760 | 5954.7557333194 | 230.724806313685 | 20.4342133122117 | -0.870207471857483 |
| 53 | 9000 | 8525.86196498667 | 1915.67053111266 | 57.2815741343891 | 1.68362676704303 |
| 54 | 9160 | 9371.36882992226 | 1144.65445225376 | -20.3027885619532 | -0.771157474875553 |
| 55 | 10480 | 10472.68805138 | 1113.42195091794 | 15.0521437077734 | -0.0312384003570143 |
| 56 | 10160 | 10371.2727048332 | 237.836740516928 | 5.71838105173138 | -0.875749170963591 |
| 57 | 9120 | 9357.81605556188 | -664.001564479293 | -14.3174551865386 | -0.902011204602079 |
| 58 | 7880 | 7951.96810524213 | -1198.66263137545 | 60.5348097797965 | -0.534764208328084 |
| 59 | 5080 | 5413.46054065695 | -2164.28078253961 | -94.1554150699055 | -0.965803449649896 |
| 60 | 4360 | 4109.20508359474 | -1544.73524902416 | 97.2576516802646 | 0.619741268485947 |
| 61 | 4480 | 4240.16162171052 | -340.876996484165 | -59.476253966684 | 1.23317197309451 |
| 62 | 6000 | 5713.0701378649 | 916.286303393313 | -5.62924749588382 | 1.23366032697586 |
| 63 | 6120 | 6150.46284439855 | 572.41746499097 | 54.6485231466021 | -0.344718147112348 |
| 64 | 6200 | 6319.5334534505 | 282.13279182144 | -48.2370385303681 | -0.289157612435492 |
| 65 | 8960 | 8495.22603861869 | 1643.14816365043 | 129.132827151026 | 1.36001525652355 |
| 66 | 8680 | 8957.89558866314 | 794.135992383838 | -68.1946050550758 | -0.849165858839654 |
| 67 | 10240 | 10124.2383765567 | 1061.9200843313 | 49.616379622393 | 0.267834843996501 |
| 68 | 10920 | 10943.2266986437 | 887.136466301478 | 19.9463251889256 | -0.174816323956222 |
| 69 | 8440 | 9009.18376816451 | -1142.59411076142 | -67.8201611561324 | -2.03011984291498 |
| 70 | 7760 | 7675.94417840013 | -1279.75492931211 | 117.93597868186 | -0.137187342855147 |
| 71 | 5320 | 5579.05390223833 | -1867.61785316091 | -113.845899546384 | -0.587975334552351 |
| 72 | 3920 | 3826.89518141503 | -1784.59616249651 | 72.5978789860352 | 0.0830545581626438 |
| 73 | 4040 | 3821.13645220942 | -507.254819567404 | -97.7704819566235 | 1.30156754623098 |
| 74 | 2960 | 3014.56677358597 | -715.918445419863 | -5.49983862440481 | -0.205555629802037 |
| 75 | 6280 | 5550.67914263095 | 1614.91213524894 | 153.960230409822 | 2.33709467727434 |
| 76 | 6320 | 6573.77484861876 | 1189.61708114343 | -149.515912942718 | -0.423881319348371 |
| 77 | 7160 | 7128.88606497767 | 734.210409477291 | 143.119926958058 | -0.455081821794779 |
| 78 | 8160 | 8185.38437154437 | 965.654358788179 | -82.392253711623 | 0.231485039240996 |
| Structural Time Series Model -- Extrapolation | |||
| t | Observed | Level | Seasonal |
| 1 | 8752.84051071974 | 5711.62181260079 | 3041.21869811895 |
| 2 | 8412.09133517482 | 5459.60402870284 | 2952.48730647198 |
| 3 | 7025.61881540591 | 5207.58624480489 | 1818.03257060102 |
| 4 | 5526.74260597899 | 4955.56846090694 | 571.174145072045 |
| 5 | 2802.11425994564 | 4703.55067700899 | -1901.43641706335 |
| 6 | 2065.0417652093 | 4451.53289311104 | -2386.49112790174 |
| 7 | 1207.32094249097 | 4199.51510921309 | -2992.19416672212 |
| 8 | 1161.97687761518 | 3947.49732531514 | -2785.52044769996 |
| 9 | 2380.23903437064 | 3695.47954141719 | -1315.24050704655 |
| 10 | 3044.98208036582 | 3443.46175751924 | -398.479677153424 |
| 11 | 4499.0739005067 | 3191.44397362129 | 1307.62992688541 |
| 12 | 5028.24588616109 | 2939.42618972334 | 2088.81969643774 |
