| Structural Time Series Model -- Interpolation | |||||
| t | Observed | Level | Slope | Seasonal | Stand. Residuals |
| 1 | 8450 | 8450 | 0 | 0 | 0 |
| 2 | 7050 | 8000.93075459537 | -57.4884125667486 | -111.303229783596 | -1.04382967439807 |
| 3 | 7700 | 7868.13484712917 | -65.2124878189003 | -42.8898026957556 | -0.16001300037568 |
| 4 | 7650 | 7771.58136344434 | -67.7759642101006 | -67.8977896111073 | -0.0679800599285245 |
| 5 | 6900 | 7459.23028220704 | -84.3967579560283 | -124.606004238456 | -0.545353953654684 |
| 6 | 6600 | 7144.16558250093 | -97.883273090026 | -120.986658878998 | -0.527116489822047 |
| 7 | 7400 | 7185.68316767584 | -90.6701295744643 | -47.9563865470213 | 0.324882644823104 |
| 8 | 7550 | 7271.72608081838 | -82.3934550274929 | -60.6685319885004 | 0.418122590861501 |
| 9 | 7450 | 7301.76314764383 | -77.5423880901787 | -70.5717297708053 | 0.269094342673834 |
| 10 | 8850 | 7760.01675947901 | -55.9563780605616 | 35.673074577022 | 1.2936033518592 |
| 11 | 6100 | 7235.54430669042 | -73.7615337209154 | -205.799796776869 | -1.13873782498844 |
| 12 | 5850 | 6765.87414841138 | -88.0633891337979 | -125.014750475838 | -0.967282526668112 |
| 13 | 6800 | 6510.92393156942 | -69.5652546952943 | 750.391582444648 | -0.614413392683704 |
| 14 | 7800 | 6929.42080256833 | -50.1822784801224 | 68.6590588577961 | 1.03222738710565 |
| 15 | 4950 | 6272.88433202708 | -74.620893557802 | -295.464956897767 | -1.32525432457482 |
| 16 | 7200 | 6504.6982690333 | -63.9643622626706 | 140.142743983032 | 0.707441340284921 |
| 17 | 7450 | 6787.38893149394 | -53.472868833981 | 7.70536241638175 | 0.828011865494304 |
| 18 | 6200 | 6615.58736071412 | -56.6671148393269 | -186.312057660055 | -0.288506484148021 |
| 19 | 8450 | 7129.69550225209 | -42.6044107882609 | 196.757814105999 | 1.40961964662952 |
| 20 | 7900 | 7364.6413053889 | -36.2439509784587 | -16.6092043036874 | 0.691171877566901 |
| 21 | 6600 | 7151.93599076746 | -40.0613102662118 | -198.5841716846 | -0.441888351686008 |
| 22 | 7900 | 7305.73794139483 | -36.0582807655674 | 204.2041740271 | 0.487344453107846 |
| 23 | 6200 | 6999.4482460992 | -41.4093285292148 | -253.765372775251 | -0.681276243217554 |
| 24 | 8400 | 7389.7086504488 | -33.9748337526031 | 132.127315658054 | 1.09361285035811 |
| 25 | 7600 | 7349.12286948629 | -33.7007643383534 | 266.383348673197 | -0.0200017216891832 |
| 26 | 5200 | 6611.34430971889 | -49.1194678620159 | -120.437093096137 | -1.65502677926657 |
| 27 | 7450 | 6897.09265088465 | -40.3118325695298 | -51.6153912968659 | 0.78205325274031 |
| 28 | 9550 | 7648.72434656299 | -21.6285150809642 | 420.501344648272 | 1.905531093281 |
| 29 | 7800 | 7704.88770704271 | -20.0139891713131 | -54.2701022410448 | 0.191328264521913 |
| 30 | 7650 | 7758.11958698366 | -18.6510754344187 | -251.159721071836 | 0.182646289897362 |
| 31 | 9750 | 8276.50579473555 | -9.48888614705677 | 413.542376780975 | 1.35081502337229 |
| 32 | 8700 | 8409.46605047942 | -7.21737028440898 | 7.44549900414867 | 0.360315772520984 |
| 33 | 7150 | 8109.55704988477 | -11.64581844195 | -375.222977391226 | -0.743111639153006 |
| 34 | 10550 | 8704.96186704488 | -2.84483735980942 | 629.224400642871 | 1.54523577664701 |
| 35 | 10150 | 9236.26832125027 | 4.49899960660865 | -159.209321350397 | 1.36266766484066 |
| 36 | 12300 | 10102.0432498644 | 13.3665240626851 | 452.08584754107 | 2.21041603244426 |
| 37 | 7850 | 9569.7932039562 | 24.9302527476589 | -518.75606235277 | -1.54458165598052 |
| 38 | 8450 | 9300.76880130764 | 20.8140119823553 | -290.571759280405 | -0.721439190024729 |
| 39 | 10000 | 9558.50671700356 | 25.4282198628627 | 2.28343667616754 | 0.570938723652845 |
| 40 | 11150 | 9921.59870135674 | 31.606646171675 | 590.025407422261 | 0.828106776309872 |
| 41 | 7750 | 9349.57667549044 | 21.7508802903423 | -436.12866719272 | -1.50442864967334 |
| 42 | 11100 | 9927.7494658377 | 29.9270716954518 | 85.648319615882 | 1.40181508997068 |
| 43 | 8650 | 9495.8620482617 | 23.6968657244027 | 63.6157760602035 | -1.17152888031638 |
| 44 | 9050 | 9333.58164723229 | 21.3489903342948 | 84.6797839646685 | -0.473899045526353 |
| 45 | 7200 | 8877.68768982624 | 15.6269118928875 | -729.227004506995 | -1.21971183368679 |
| 46 | 8600 | 8642.45326225168 | 12.7538906741144 | 457.430378129638 | -0.642500575306359 |
| 47 | 7500 | 8411.33418950383 | 10.1764296117581 | -423.910664881685 | -0.625934579504656 |
| 48 | 8200 | 8171.47151932133 | 8.45821492172203 | 533.010563922939 | -0.645918886421795 |
| 49 | 10050 | 8744.67440384595 | 1.86837627362986 | 105.344467423738 | 1.54654256659439 |
| 50 | 9900 | 9213.3281069244 | 6.47918261527131 | -218.456900723805 | 1.1706318294154 |
| 51 | 9500 | 9358.36299214708 | 8.59902605705564 | -119.38135155352 | 0.34034060501654 |
| Structural Time Series Model -- Extrapolation | |||
| t | Observed | Level | Seasonal |
| 1 | 12044.7311532518 | 10505.3585353481 | 1539.37261790369 |
| 2 | 9328.1909895867 | 10819.4435565687 | -1491.252566982 |
| 3 | 12466.1215190958 | 11133.5285777893 | 1332.5929413065 |
| 4 | 11437.0522861475 | 11447.6135990099 | -10.5613128624391 |
| 5 | 12234.6278680899 | 11761.6986202306 | 472.929247859304 |
| 6 | 10923.4670229646 | 12075.7836414512 | -1152.31661848655 |
| 7 | 13028.6896532842 | 12389.8686626718 | 638.820990612352 |
| 8 | 12257.2682692219 | 12703.9536838924 | -446.685414670544 |
| 9 | 13052.0785557057 | 13018.0387051131 | 34.0398505925847 |
| 10 | 13483.227845822 | 13332.1237263337 | 151.10411948832 |
| 11 | 13209.7732326716 | 13646.2087475543 | -436.435514882726 |
| 12 | 13328.6854288965 | 13960.2937687749 | -631.608339878488 |
| 13 | 15813.7514078993 | 14274.3787899956 | 1539.37261790369 |
| 14 | 13097.2112442342 | 14588.4638112162 | -1491.252566982 |
| 15 | 16235.1417737433 | 14902.5488324368 | 1332.5929413065 |
| 16 | 15206.072540795 | 15216.6338536574 | -10.561312862439 |
| 17 | 16003.6481227374 | 15530.7188748781 | 472.929247859304 |
| 18 | 14692.4872776121 | 15844.8038960987 | -1152.31661848655 |
