| Structural Time Series Model -- Interpolation | |||||
| t | Observed | Level | Slope | Seasonal | Stand. Residuals |
| 1 | 5750.5 | 5750.5 | 0 | 0 | 0 |
| 2 | 3881.6 | 5464.28960633214 | 23.8426596279966 | -1398.32202025439 | -3.33243717868831 |
| 3 | 4350.4 | 4743.81291299604 | -39.8310874677189 | -254.46869736293 | -3.04889254756641 |
| 4 | 6623.4 | 5128.69656573364 | 0.109338377283102 | 1423.75134112351 | 1.704329071051 |
| 5 | 3375.5 | 4721.58300937594 | -34.1435144277354 | -1262.6976416093 | -1.94079566154076 |
| 6 | 6651.7 | 5108.86884159539 | -4.95821093426105 | 1440.98979020959 | 2.28082001686127 |
| 7 | 4394.8 | 5053.23729861522 | -7.77826713745622 | -644.999964862851 | -0.293670259641538 |
| 8 | 4968.3 | 5011.52510131737 | -9.32550845682767 | -33.7948331816556 | -0.203320407354242 |
| 9 | 6355.6 | 5327.74882386198 | 3.37969416930951 | 935.289369580181 | 1.98136444152188 |
| 10 | 4515.7 | 5242.42176255613 | 0.270883195761725 | -701.224183707578 | -0.543766366007615 |
| 11 | 4620 | 5058.1610551105 | -5.76388284490977 | -384.854111324673 | -1.1346866063707 |
| 12 | 5804.4 | 5173.85787860249 | -1.96521210537288 | 595.376250782072 | 0.747822421933651 |
| 13 | 6254.4 | 5333.87627131075 | -3.47164536622128 | 870.445636591597 | 1.08111130664851 |
| 14 | 4788.6 | 5483.12814708268 | -3.60994909554024 | -740.649070231072 | 0.996497162620275 |
| 15 | 4446.4 | 5405.18979727494 | -5.03712454998382 | -938.585453554262 | -0.443056284846236 |
| 16 | 8018 | 5646.46358179965 | 3.03466526847427 | 2309.79589643365 | 1.38356007694689 |
| 17 | 3745.9 | 5640.76464125973 | 2.6991075923658 | -1892.7150842406 | -0.048776894128424 |
| 18 | 6928.2 | 5600.23312976121 | 1.02868698469251 | 1338.84374724895 | -0.247155706087368 |
| 19 | 5201.7 | 5664.57460128935 | 3.30054814745545 | -479.332161977413 | 0.372360733913274 |
| 20 | 5520.9 | 5702.79556447865 | 4.41552378117049 | -191.231555226633 | 0.210054858529609 |
| 21 | 6801.9 | 5727.19306012616 | 4.9700552131354 | 1069.2563861177 | 0.122017043638817 |
| 22 | 5225.1 | 5768.78901653644 | 5.83569515365563 | -553.813913953797 | 0.225709594015564 |
| 23 | 5149.4 | 5773.40385473102 | 5.81197761619201 | -623.663248674601 | -0.00756648288918121 |
| 24 | 6240.4 | 5794.42895371557 | 6.03800976294099 | 441.693240832841 | 0.0947624107147692 |
| 25 | 7045.4 | 5927.35445975868 | 7.29828244152839 | 1082.02536531161 | 0.796448813911921 |
| 26 | 5402.1 | 6038.00108793726 | 8.37650259042233 | -665.023346698549 | 0.644171196733368 |
| 27 | 4960.6 | 6091.63215065235 | 9.04607989433945 | -1143.46922965721 | 0.276164661623212 |
| 28 | 9459.3 | 6367.61782064797 | 14.3241105768914 | 3020.2749416862 | 1.59574821644595 |
| 29 | 3979.4 | 6344.05799150241 | 13.4403942167806 | -2354.67145968112 | -0.224457659581819 |
| 30 | 7215.1 | 6246.1402053935 | 10.6705298959909 | 998.324810524603 | -0.661932305988783 |
| 31 | 5797 | 6237.27493546811 | 10.1892930303027 | -435.071951558075 | -0.117281843415029 |
| 32 | 5577.6 | 6136.60012048363 | 7.62652391224763 | -529.087789585133 | -0.673006443335847 |
| 33 | 7380.8 | 6160.35015869417 | 7.96247380179419 | 1216.04739741458 | 0.0987945814906518 |
| 34 | 5788.6 | 6225.35220622039 | 9.00105903224606 | -452.472636509882 | 0.351864762307665 |
| 35 | 5116.3 | 6161.70242608522 | 7.86973320065124 | -1025.24387210588 | -0.450211695277519 |
| 36 | 6819.3 | 6237.52408154579 | 8.7728157010898 | 562.837477765594 | 0.422281837686726 |
| 37 | 7671 | 6383.37692247328 | 10.398145537596 | 1249.36231535887 | 0.85234909091667 |
| 38 | 5337 | 6375.99493004258 | 10.1863037968915 | -1034.05117032243 | -0.110148520106426 |
| 39 | 4955.7 | 6349.94080730143 | 9.70521829884455 | -1384.25277062707 | -0.222844441414343 |
| 40 | 9143.8 | 6269.7162072097 | 8.33924001017342 | 2898.61914519571 | -0.548685185990705 |
| 41 | 4624.6 | 6388.21468441873 | 10.2000187876784 | -1793.45992256929 | 0.669032913954439 |
| 42 | 7702.4 | 6491.71625372694 | 11.8705364907788 | 1185.44785855101 | 0.566613659138658 |
| 43 | 6297.4 | 6569.38287304915 | 13.0597728471358 | -289.833161333757 | 0.400959777122986 |
| 44 | 5652.3 | 6515.79271204257 | 11.8945439194009 | -845.308310494593 | -0.40822292114368 |
| 45 | 7801.3 | 6529.88424750357 | 11.9304407480676 | 1270.81258544028 | 0.0135242794401916 |
| 46 | 5901.2 | 6498.9046730219 | 11.2908150303739 | -585.858638037861 | -0.265245230197378 |
| 47 | 5296.7 | 6477.61379700375 | 10.8522759271975 | -1171.88095809504 | -0.202000293354314 |
| 48 | 7803.5 | 6674.06193538495 | 13.1291539781352 | 1077.85050955055 | 1.15255525815789 |
| 49 | 8177.1 | 6793.58752172243 | 14.3596227678922 | 1353.92146477844 | 0.660771131058715 |
| 50 | 5546.3 | 6781.07485687944 | 14.0509865977836 | -1227.31393718237 | -0.166603898424956 |
| 51 | 5651.5 | 6843.92657373036 | 14.6345228973963 | -1205.92695232884 | 0.301631585375993 |
| 52 | 12289.7 | 7498.04381649378 | 22.77772850017 | 4615.4896032558 | 3.93973072344579 |
| 53 | 4769.1 | 7514.35266352218 | 22.6903304284237 | -2743.47628779048 | -0.0397674809978791 |
| 54 | 8294.5 | 7436.47488581997 | 21.2784403470186 | 885.609630346779 | -0.61801082622338 |
| 55 | 6422.3 | 7238.86701536224 | 18.173374344508 | -756.469545756744 | -1.34684466936696 |
| 56 | 6021.3 | 7099.83801752822 | 15.9828675246276 | -1035.26746602869 | -0.969549323754456 |
| 57 | 9241 | 7271.15191856349 | 18.0583369744899 | 1926.95625831622 | 0.96053388616609 |
| 58 | 6229.5 | 7251.24244251787 | 17.5798512290171 | -1011.22575903025 | -0.23534613389551 |
| 59 | 5691.5 | 7216.28058656058 | 16.9590185230444 | -1510.19048334716 | -0.326274816790374 |
| 60 | 8546.9 | 7308.59646601877 | 17.7996601161824 | 1217.34446445678 | 0.468443331268759 |
| 61 | 8174 | 7266.04448421622 | 17.1515970259147 | 924.749423440755 | -0.375228137910564 |
| 62 | 6027.9 | 7326.94225627351 | 17.6160371745024 | -1311.20758753295 | 0.27179650348681 |
| 63 | 6566.4 | 7560.42905977362 | 19.939084094032 | -1053.96977516126 | 1.33947127404386 |
| 64 | 10926.6 | 7324.52904454153 | 17.1066699076153 | 3672.98070253961 | -1.58523092638485 |
| 65 | 5963.5 | 7532.54293971114 | 19.2853195035828 | -1621.87864880179 | 1.18171971054493 |
| 66 | 9914 | 7905.97056456192 | 23.4148476957348 | 1910.07643289383 | 2.1916163045666 |
| 67 | 6063.1 | 7764.41883802262 | 21.4789367445365 | -1655.67283155796 | -1.02145994109035 |
| 68 | 6939 | 7800.17721691398 | 21.6447119273098 | -865.133055929389 | 0.0885170855019806 |
| 69 | 9774.2 | 7823.64852975452 | 21.6653689974197 | 1950.04460950966 | 0.0113387078571917 |
| 70 | 6358.2 | 7733.84192250155 | 20.4505229816177 | -1344.6564017819 | -0.692904604047932 |
| 71 | 6432 | 7778.15891487566 | 20.7001715335577 | -1352.80281363485 | 0.148515160623302 |
| 72 | 9365.5 | 7890.81448113615 | 21.6268274403817 | 1449.06123171227 | 0.572610759421909 |
| 73 | 8930.6 | 7988.53040393289 | 22.3733940999156 | 920.857517379644 | 0.473915079842952 |
| 74 | 6189.7 | 7947.60660206507 | 21.7598853442105 | -1740.26334972303 | -0.39415446203523 |
| 75 | 6820.5 | 7916.0601838549 | 21.2423389804241 | -1080.71057907434 | -0.331766342237175 |
| 76 | 12889.2 | 8280.1665241539 | 24.608100192247 | 4513.59505268094 | 2.1326204202506 |
| 77 | 7102.5 | 8555.54131571227 | 27.1039107351765 | -1522.79892535751 | 1.55908844012667 |
| 78 | 10824.9 | 8704.80696557474 | 28.3322208355277 | 2086.11974930172 | 0.759435266545414 |
| 79 | 6619.1 | 8661.42571714366 | 27.6095694171632 | -2022.37822200243 | -0.445940382832619 |
| 80 | 7613.6 | 8610.35742421553 | 26.8228553712089 | -974.859157949074 | -0.48953589062281 |
| 81 | 9923.3 | 8448.60862546237 | 24.969400877616 | 1527.22311034586 | -1.17419221368007 |
| 82 | 6842.6 | 8368.40247196968 | 23.9601779268851 | -1496.47434886149 | -0.655415111178365 |
| 83 | 7121.3 | 8406.56408964495 | 24.0928373521014 | -1289.22764538301 | 0.0885572156908016 |
| 84 | 8913 | 8231.13925673977 | 22.2753954017265 | 737.581640562447 | -1.24472806639127 |
| 85 | 9952.4 | 8382.90714608874 | 23.4321972091317 | 1533.31568812399 | 0.808039472259728 |
| 86 | 6514.1 | 8454.56489487179 | 23.8580749448853 | -1953.93863401901 | 0.300925618557066 |
| 87 | 6480.5 | 8372.09886911287 | 22.9224840380349 | -1861.89850588218 | -0.663340867851497 |
| 88 | 13960.4 | 8653.54594664554 | 25.2023760017644 | 5234.65951287805 | 1.61252555201338 |
| 89 | 6918.6 | 8706.79168614598 | 25.4508081128952 | -1796.02098128249 | 0.174888890538289 |
| 90 | 11060.1 | 8759.5063969916 | 25.6931140170421 | 2292.98260176731 | 0.170025329969872 |
| 91 | 7232.9 | 8859.87852003161 | 26.3562117385779 | -1647.82881163288 | 0.465799255020648 |
| 92 | 7846.2 | 8845.40298808895 | 25.9960138411509 | -987.798735894764 | -0.254767823803281 |
| 93 | 10293.9 | 8809.53219437266 | 25.4568352408144 | 1501.65600220399 | -0.386185368067341 |
| 94 | 7698.6 | 8889.90116664344 | 25.9276246705559 | -1206.65478507998 | 0.34293298910395 |
| 95 | 7050.7 | 8781.12500126202 | 24.7937577026247 | -1692.74086988576 | -0.841595264165485 |
| 96 | 10190 | 8944.56824765081 | 25.9403485283853 | 1206.62692449514 | 0.866523963391414 |
| 97 | 10071.3 | 8928.25542170849 | 25.5960370894004 | 1154.87359303947 | -0.264122300754566 |
| 98 | 6765.7 | 8897.21221886591 | 25.1392407978932 | -2115.65384458704 | -0.354073059870018 |
| 99 | 6480.5 | 8823.89964667535 | 24.3497827856601 | -2315.83442894479 | -0.615445703046741 |
| 100 | 14038 | 8817.94066574413 | 24.10728156043 | 5228.54476456304 | -0.189456305048162 |
| 101 | 6356 | 8682.77599735774 | 22.8335783280938 | -2282.1881483422 | -0.995554089352878 |
| 102 | 10338.9 | 8510.5155153143 | 21.2747321238454 | 1883.00106035081 | -1.21950791969004 |
| 103 | 7859.3 | 8684.16318730926 | 22.4886546641736 | -867.52500711252 | 0.952584453299516 |
| 104 | 7642.6 | 8727.02555203751 | 22.6499887950277 | -1090.13116312687 | 0.127396832559974 |
| 105 | 10935 | 8914.21845530848 | 23.940883994312 | 1974.68699906632 | 1.02916862222599 |
| 106 | 7806.5 | 8989.68878128297 | 24.3403634921601 | -1197.62927912862 | 0.322396836152466 |
| 107 | 7309.5 | 9038.96103854614 | 24.5311026919067 | -1736.4503528676 | 0.156030914007308 |
| 108 | 10363.6 | 9068.6457051266 | 24.5700172420911 | 1293.50913115447 | 0.0322598033844214 |
| 109 | 10403.1 | 9101.36907201154 | 24.6308768914283 | 1299.4440588914 | 0.0510458066096521 |
| 110 | 6274.7 | 8925.52010776627 | 23.147987942147 | -2594.58146359306 | -1.25526636568192 |
| 111 | 7212.7 | 8992.89102639112 | 23.4729817682109 | -1792.59725825915 | 0.276905716804319 |
| 112 | 13835.1 | 8899.22515806082 | 22.6158336705414 | 4968.7376128476 | -0.733490109787603 |
| 113 | 6218.4 | 8776.10485522077 | 21.5527576121345 | -2516.81832274568 | -0.912582813039693 |
| 114 | 12087.8 | 9118.8109927715 | 23.8881523704155 | 2878.88395702554 | 2.01114343098727 |
| 115 | 7905 | 9182.09468781512 | 24.1734524789543 | -1288.14897200341 | 0.246730560599033 |
| 116 | 7810.1 | 9182.41565232503 | 24.0017170102804 | -1365.6215920275 | -0.149408278723293 |
| Structural Time Series Model -- Extrapolation | |||
| t | Observed | Level | Seasonal |
| 1 | 11192.7232364252 | 9233.2937111123 | 1959.42952531286 |
| 2 | 8074.44630478088 | 9267.21639416696 | -1192.77008938608 |
| 3 | 7610.57156706076 | 9301.13907722161 | -1690.56751016085 |
| 4 | 10708.6987319371 | 9335.06176027626 | 1373.63697166087 |
| 5 | 10831.970661852 | 9368.98444333092 | 1462.98621852112 |
| 6 | 6860.19287443583 | 9402.90712638557 | -2542.71425194974 |
| 7 | 7711.48321147358 | 9436.82980944023 | -1725.34659796664 |
| 8 | 14438.4707494121 | 9470.75249249488 | 4967.71825691724 |
| 9 | 6754.06910861219 | 9504.67517554954 | -2750.60606693734 |
| 10 | 12327.1821949737 | 9538.59785860419 | 2788.58433636949 |
| 11 | 8292.76819052012 | 9572.52054165884 | -1279.75235113873 |
| 12 | 8235.8447834713 | 9606.4432247135 | -1370.5984412422 |
