| Structural Time Series Model -- Interpolation | |||||
| t | Observed | Level | Slope | Seasonal | Stand. Residuals |
| 1 | 2312 | 2312 | 0 | 0 | 0 |
| 2 | 1089 | 2064.64662395667 | -51.3169482930393 | -56.4974647095801 | -1.50894361790476 |
| 3 | 2742 | 2198.46346123441 | -21.6111325866762 | -13.6707133533822 | 0.936245581645032 |
| 4 | 3145 | 2428.50032210546 | 11.3986957209346 | 15.2548033413025 | 1.18688546300766 |
| 5 | 2966 | 2573.2406059999 | 26.2216969767493 | 26.7545323010018 | 0.619237947845125 |
| 6 | 2055 | 2453.65176622691 | 12.1409749284476 | 7.41243225217096 | -0.684316164537499 |
| 7 | 2450 | 2458.38756308314 | 11.5082174233164 | 12.8026819572616 | -0.0355259219863138 |
| 8 | 2742 | 2534.1624250402 | 16.4380257922805 | 18.0907444823664 | 0.316427295906237 |
| 9 | 1697 | 2340.66361183746 | 1.81044894547044 | -4.16439102720373 | -1.06116854600538 |
| 10 | 2409 | 2357.2384081831 | 2.7540092743576 | 5.45239175740772 | 0.0765045354465562 |
| 11 | 2233 | 2329.90224052933 | 0.975654969230694 | 0.0128015082351784 | -0.159488393214514 |
| 12 | 2100 | 2277.86048833508 | -1.94234146494737 | -3.02095339594443 | -0.286762337307052 |
| 13 | 3434 | 2399.64411048994 | -15.7900232939969 | 187.536604665097 | 1.39330418597489 |
| 14 | 1867 | 2259.13751916184 | -22.4627496835361 | -42.9742046555409 | -0.58597233546467 |
| 15 | 2365 | 2271.69937260631 | -20.732638480124 | -12.0910958748616 | 0.175253734837824 |
| 16 | 3578 | 2564.77829694009 | -6.50376546312419 | 11.0919679246671 | 1.65323528641687 |
| 17 | 2845 | 2625.46919897255 | -3.68566220230595 | -4.71590361091882 | 0.367842508117284 |
| 18 | 2778 | 2658.33975686233 | -2.25717636488428 | -6.48066262548748 | 0.20604435751757 |
| 19 | 2056 | 2527.20594276296 | -6.98085450246624 | -14.8669831092131 | -0.74301984899962 |
| 20 | 2757 | 2570.314861847 | -5.24846103023643 | 5.67693402616796 | 0.293987286580579 |
| 21 | 3325 | 2727.23213688013 | 0.071989150807827 | 2.13026247041281 | 0.965502628133902 |
| 22 | 3671 | 2923.60168347784 | 6.20977185644067 | 16.7854639230625 | 1.18240139486979 |
| 23 | 2147 | 2768.33161437599 | 1.37844594287196 | -13.7117166870224 | -0.982063933773771 |
| 24 | 3225 | 2862.72469284413 | 4.03383413798764 | 8.71857865302131 | 0.570669438120959 |
| 25 | 3556 | 2972.50329940844 | -0.210603992537536 | 30.3039798526383 | 0.895323362167674 |
| 26 | 4661 | 3351.18453810958 | 11.8669539839706 | 9.71376651948891 | 2.12769124781716 |
| 27 | 3344 | 3359.52395827495 | 11.7597261316315 | -3.07914336050424 | -0.0203169148910113 |
| 28 | 5375 | 3787.65525595169 | 23.5467556974167 | 75.0456956946985 | 2.46046081774512 |
| 29 | 3907 | 3829.91847048232 | 24.0434924592015 | 7.57100113112992 | 0.112797820554275 |
| 30 | 3356 | 3747.43272536838 | 21.3751134283969 | 11.0713368282358 | -0.651863633617527 |
| 31 | 2184 | 3444.9675961867 | 13.6732057987595 | -20.7541549527689 | -2.00544132778697 |
| 32 | 3510 | 3462.43713668259 | 13.7593916614111 | 32.8669705176993 | 0.0237342968986702 |
| 33 | 2834 | 3346.37975067546 | 10.9329963547122 | -5.4770769796341 | -0.817854670325826 |
| 34 | 3271 | 3333.78330889643 | 10.4397083363199 | 29.7457663199849 | -0.14916943666951 |
| 35 | 2834 | 3244.89488468173 | 8.42791260082007 | -17.9890205844405 | -0.632992708348762 |
| 36 | 2408 | 3085.05469736703 | 5.18845517810714 | -6.85787513099816 | -1.07861461386441 |
| 37 | 3261 | 3123.48868422458 | 4.39776755095363 | -24.6173916842151 | 0.261384841896488 |
| 38 | 1526 | 2795.91432188224 | -3.08104103950986 | -40.7326762882259 | -1.99814842631264 |
| 39 | 2938 | 2826.86470542121 | -2.328908736941 | -16.4832568188909 | 0.207355084795013 |
| 40 | 2352 | 2719.87847523697 | -4.49764235503364 | 32.0874837225945 | -0.64850008966139 |
| 41 | 3915 | 2956.49416374793 | 0.213292857852875 | 23.3363354071341 | 1.51377424775251 |
| 42 | 3145 | 2995.2396555645 | 0.92776636084316 | -1.41654302717038 | 0.24440022968853 |
| 43 | 1566 | 2722.69818712383 | -3.91275953063844 | -74.0101408676089 | -1.74857413888434 |
| 44 | 2746 | 2716.95549005656 | -3.94383976731538 | 36.3419075686109 | -0.0117761125587518 |
| 45 | 3572 | 2883.46727424973 | -1.15338479361616 | 4.81876498349465 | 1.10262703823469 |
| 46 | 2651 | 2834.88397716751 | -1.90467863837516 | 7.26946759073269 | -0.308111363300868 |
| 47 | 2805 | 2830.89381193501 | -1.9367276788562 | -17.4552955652227 | -0.0135955664034 |
| 48 | 3354 | 2932.47921053178 | -0.446038181827661 | 0.0598380044772142 | 0.678333898971959 |
| 49 | 2523 | 2857.50028279923 | 0.769446868736608 | 16.4766821620492 | -0.565466406903729 |
| 50 | 1480 | 2589.68958520376 | -3.85902451884463 | -75.3268143308468 | -1.67784042326147 |
| 51 | 3278 | 2722.22619816731 | -1.48424934138726 | 27.8741595001997 | 0.85670129254956 |
| 52 | 5081 | 3182.55734919732 | 6.09243498445186 | 86.1214118417479 | 2.93679136506167 |
| 53 | 3332 | 3217.21680290896 | 6.53577096140282 | 1.42851879533261 | 0.183465457032703 |
| 54 | 2789 | 3135.73739387403 | 5.23543963395811 | 5.54173801294674 | -0.569631534611539 |
| 55 | 4111 | 3339.10255552842 | 8.03826380892404 | -26.5400043814432 | 1.29011026975539 |
| 56 | 2508 | 3181.71543750437 | 5.78602869062588 | -3.43593581151781 | -1.0823950135775 |
| 57 | 1833 | 2923.78388123633 | 2.31515924425044 | -17.5416751291622 | -1.73229152322639 |
| 58 | 2371 | 2814.71203410738 | 0.892652114580472 | 11.2201092358805 | -0.734008306414774 |
| 59 | 4268 | 3094.22960216118 | 4.35084663031434 | 32.3201640224388 | 1.84103170744202 |
| 60 | 2194 | 2929.09652672617 | 2.41998151365103 | -36.5403281493141 | -1.12547118951374 |
| 61 | 2935 | 2926.66232299605 | 2.47804190679703 | 30.701899279554 | -0.0360492620742406 |
| 62 | 3347 | 3027.12490712101 | 3.83112133227042 | -66.5714715523043 | 0.626573410056572 |
| 63 | 3034 | 3033.743961214 | 3.87123173403046 | -10.7412435508266 | 0.0178487927358047 |
| 64 | 5448 | 3487.75923526834 | 10.0031373402797 | 165.436888098445 | 2.90981750896938 |
| 65 | 3427 | 3488.59096720678 | 9.88469864037576 | -24.6973552901831 | -0.0597569696263956 |
| 66 | 3036 | 3411.31137472792 | 8.81097814653764 | -22.2326685031268 | -0.571460257215159 |
| 67 | 4196 | 3568.49486952126 | 10.5644940127273 | 23.183796476522 | 0.977524637023273 |
| 68 | 3009 | 3468.81301082988 | 9.3080907358917 | -8.81210578718206 | -0.729178833094929 |
| 69 | 3369 | 3456.3171215361 | 9.06742326831275 | 2.19423968892645 | -0.144667509785147 |
| 70 | 4168 | 3598.00044027506 | 10.4903241440659 | 24.0092614839845 | 0.882152325148993 |
| 71 | 3403 | 3561.91745475722 | 10.0046451606794 | 33.3154679450962 | -0.310497448464548 |
| 72 | 1779 | 3241.48873208491 | 6.91866643534089 | -90.1371017557985 | -2.21409701049429 |
| 73 | 2761 | 3163.94143772475 | 7.68643910436847 | -19.7214259415192 | -0.618318145333012 |
| 74 | 2582 | 3069.52285930984 | 6.52116231872785 | -78.4351263071416 | -0.663475108814897 |
| 75 | 3153 | 3098.69898431132 | 6.79913304116949 | -36.1914071171794 | 0.14696417720104 |
| 76 | 3011 | 3056.56352551556 | 6.22767826579198 | 151.581482291111 | -0.319908390263802 |
| 77 | 3419 | 3133.58171439591 | 7.01275526609743 | -1.89533947913639 | 0.465862750341108 |
| 78 | 4042 | 3319.17039136993 | 8.90448405721119 | -6.18171064190885 | 1.18132166795666 |
| 79 | 4379 | 3522.8964258237 | 10.8872266835562 | 57.1050541803561 | 1.29410132336611 |
| 80 | 4602 | 3738.73460744679 | 12.9012926125131 | 19.6381055056812 | 1.36585376722472 |
| 81 | 3249 | 3662.21804802507 | 12.0490937433692 | -44.0657375974588 | -0.597479778626058 |
| 82 | 4372 | 3797.50556969533 | 13.1921065330921 | 64.4900690790713 | 0.825238361938705 |
| 83 | 4328 | 3896.44213410249 | 13.9639895332984 | 75.9214807676889 | 0.57529822830358 |
| 84 | 3695 | 3886.4804607691 | 13.7762170255173 | -91.6134441979355 | -0.161357419056921 |
| 85 | 3614 | 3861.71902482627 | 14.0475853947599 | -74.8848846510415 | -0.27918591210205 |
| 86 | 2114 | 3555.62804989225 | 10.9597840275428 | -144.727193033184 | -2.10466477681167 |
| 87 | 2839 | 3427.61422950147 | 9.47290404247563 | -28.5710548242459 | -0.910294449207033 |
| 88 | 2490 | 3227.46695183338 | 7.32579765716001 | 113.146930220829 | -1.38172418003071 |
| 89 | 2610 | 3117.38942857196 | 6.18195776370071 | -27.953059529647 | -0.778277277083724 |
| 90 | 2372 | 2986.15111420622 | 4.90173027038684 | -50.1426764083846 | -0.915081254106907 |
| 91 | 2833 | 2953.39208190349 | 4.5643287740021 | 34.7928590747111 | -0.251676212683715 |
| 92 | 4018 | 3151.07911614022 | 6.23661878697923 | 68.6172834002184 | 1.29424357112191 |
| 93 | 2734 | 3093.82644060591 | 5.70293302524789 | -96.7146337988748 | -0.426453497060069 |
| 94 | 3027 | 3076.2415598826 | 5.51230980679573 | 47.4694607875623 | -0.156714784223734 |
| 95 | 3862 | 3212.91626031039 | 6.55164904866005 | 103.256440114602 | 0.884246472228733 |
| 96 | 3281 | 3249.06185678468 | 6.75051505442005 | -92.0148410640637 | 0.200559566280627 |
| 97 | 2746 | 3162.83826019751 | 7.26241382287204 | -3.63782496480108 | -0.668254628870415 |
| 98 | 2538 | 3073.23340621232 | 6.45903072173595 | -139.630935178047 | -0.642478952623611 |
| 99 | 1805 | 2838.44904532925 | 4.17131029423047 | -54.8675468743378 | -1.59197090130596 |
| 100 | 2500 | 2750.23232007511 | 3.32701572971127 | 126.64575398197 | -0.612827722449931 |
| 101 | 2601 | 2725.77678132399 | 3.08512182528864 | -10.815706881164 | -0.185203384198214 |
| 102 | 3178 | 2821.04714472112 | 3.85324831033167 | -22.861261146588 | 0.616968218629067 |
| 103 | 4193 | 3078.51627113817 | 5.88697649118314 | 65.8848703523012 | 1.7027144064767 |
| 104 | 2606 | 2986.58956810253 | 5.12830164816225 | 24.9611747595876 | -0.65834063129348 |
| 105 | 2491 | 2915.239325135 | 4.55206521000751 | -106.434631305389 | -0.515778609977984 |
| 106 | 4090 | 3128.78172524269 | 6.08574622354968 | 91.147621838464 | 1.41179051508461 |
| 107 | 2786 | 3055.89151685054 | 5.52678066948388 | 59.5527860656335 | -0.534417180278533 |
| 108 | 2280 | 2931.19169609807 | 4.76614959228753 | -104.4056398307 | -0.885893839013791 |
| 109 | 2403 | 2834.64722406999 | 5.20324431846158 | 15.3122303523501 | -0.72368927692949 |
| 110 | 2934 | 2875.38991190975 | 5.46027946497427 | -87.4214428300568 | 0.237345858513527 |
| 111 | 1601 | 2649.43092887184 | 3.49078470205746 | -104.910582224551 | -1.53620978493145 |
| 112 | 1946 | 2492.32876264851 | 2.1641639382401 | 111.410716860838 | -1.07056145236563 |
| 113 | 2554 | 2506.82523226303 | 2.26139771052388 | -3.58138603058093 | 0.0825722175287101 |
| 114 | 2006 | 2425.96510767193 | 1.63373007982183 | -76.5010240723823 | -0.558532122850642 |
| 115 | 2830 | 2486.64665335498 | 2.0630878702683 | 98.5945290304229 | 0.397889941090634 |
| 116 | 3173 | 2610.67353634438 | 2.92136906119356 | 55.5068014587705 | 0.823691574475067 |
| 117 | 1960 | 2520.22687057175 | 2.28279879003796 | -171.453713930458 | -0.631706963949913 |
| 118 | 3052 | 2600.17848586474 | 2.80006672909805 | 127.870642259533 | 0.52628148408825 |
| 119 | 2151 | 2507.71156626978 | 2.19099352160293 | 41.4090150240667 | -0.646595188191584 |
| 120 | 2493 | 2521.68802519638 | 2.25158870579954 | -78.2606686229811 | 0.0804139474484979 |
| 121 | 2752 | 2557.59271263822 | 2.13824821011631 | 46.8300538858528 | 0.239208075595593 |
| 122 | 2542 | 2567.27628257918 | 2.18640483736358 | -56.4270813354082 | 0.0506672940385649 |
| 123 | 2027 | 2484.4968522592 | 1.53109666087745 | -109.664776927259 | -0.566758731991048 |
| 124 | 1940 | 2362.41975834445 | 0.598541373600968 | 85.4512076907243 | -0.827352065395508 |
| 125 | 1877 | 2269.52131754326 | -0.0760696451604975 | -6.70032019915768 | -0.628257927934792 |
| Structural Time Series Model -- Extrapolation | |||
| t | Observed | Level | Seasonal |
| 1 | 1737.80081677891 | 1794.69674985922 | -56.8959330803047 |
| 2 | 2161.2698478585 | 1611.2950154917 | 549.974832366804 |
| 3 | 1923.08062019291 | 1427.89328112417 | 495.187339068737 |
| 4 | 658.595448698529 | 1244.49154675665 | -585.896098058119 |
| 5 | 1694.03433660636 | 1061.08981238912 | 632.944524217241 |
| 6 | 611.473223053923 | 877.6880780216 | -266.214854967677 |
| 7 | 560.595521606695 | 694.286343654076 | -133.690822047382 |
| 8 | 572.426693631661 | 510.884609286552 | 61.5420843451083 |
| 9 | 354.433281728956 | 327.482874919029 | 26.9504068099277 |
| 10 | -307.854078341394 | 144.081140551505 | -451.935218892899 |
| 11 | -293.802751211103 | -39.3205938160193 | -254.482157395084 |
| 12 | -240.206430549896 | -222.722328183543 | -17.4841023663529 |
