| Structural Time Series Model -- Interpolation | |||||
| t | Observed | Level | Slope | Seasonal | Stand. Residuals |
| 1 | 3035 | 3035 | 0 | 0 | 0 |
| 2 | 2552 | 2577.11599564318 | -25.11599559821 | -25.1159956431792 | -0.681762312620333 |
| 3 | 2704 | 2728.41035427799 | -24.4103542779859 | -24.4103542779859 | 0.438333035551145 |
| 4 | 2554 | 2578.90872580421 | -24.9087258042088 | -24.9087258042088 | -0.310816238834155 |
| 5 | 2014 | 2040.94465935339 | -26.944659353387 | -26.944659353387 | -1.27478656489884 |
| 6 | 1655 | 1683.25196362607 | -28.2519636260711 | -28.2519636260712 | -0.821801911363314 |
| 7 | 1721 | 1748.88234814385 | -27.8823481438474 | -27.8823481438474 | 0.233265467142426 |
| 8 | 1524 | 1552.54296386208 | -28.5429638620846 | -28.5429638620845 | -0.418554795969133 |
| 9 | 1596 | 1624.15174616836 | -28.1517461683574 | -28.1517461683574 | 0.248838961119292 |
| 10 | 2074 | 2100.18991801698 | -26.1899180169847 | -26.1899180169847 | 1.25271051616705 |
| 11 | 2199 | 2224.60617325526 | -25.6061732552617 | -25.6061732552617 | 0.374193360701731 |
| 12 | 2512 | 2536.30384203187 | -24.3038420318728 | -24.3038420318729 | 0.838052748547691 |
| 13 | 2933 | 2616.85830408262 | -28.7401541610121 | 316.141695917379 | 0.314768965458636 |
| 14 | 2889 | 2909.94908933771 | -20.9490892271136 | -20.9490893377105 | 0.680315900680117 |
| 15 | 2938 | 2958.82213988343 | -20.8221398834326 | -20.8221398834325 | 0.173300926092452 |
| 16 | 2497 | 2518.58333160517 | -21.5833316051739 | -21.5833316051738 | -1.04100472444294 |
| 17 | 1870 | 1892.67811754669 | -22.6781175466866 | -22.6781175466867 | -1.49994253878516 |
| 18 | 1726 | 1748.89711009886 | -22.8971100988604 | -22.8971100988604 | -0.300580012757606 |
| 19 | 1607 | 1630.07026844686 | -23.0702684468629 | -23.0702684468629 | -0.238099297076276 |
| 20 | 1545 | 1568.14028594474 | -23.1402859447402 | -23.1402859447402 | -0.0964503437287518 |
| 21 | 1396 | 1419.36624591823 | -23.3662459182308 | -23.3662459182308 | -0.311824197909125 |
| 22 | 1787 | 1809.62365413162 | -22.6236541316198 | -22.6236541316198 | 1.02661627256554 |
| 23 | 2076 | 2098.06618788409 | -22.0661878840898 | -22.0661878840899 | 0.772066815616905 |
| 24 | 2837 | 2857.6678555032 | -20.6678555032042 | -20.6678555032041 | 1.94009786314121 |
| 25 | 2787 | 2608.9324638353 | -16.1879578081921 | 178.067536164699 | -0.623672055461057 |
| 26 | 3891 | 3887.0847061042 | 3.91529392038794 | 3.91529389580132 | 2.9175565199336 |
| 27 | 3179 | 3175.92596968549 | 3.07403031450595 | 3.07403031450609 | -1.7742695441215 |
| 28 | 2011 | 2009.3004696667 | 1.69953033329872 | 1.69953033329876 | -2.90230204472656 |
| 29 | 1636 | 1634.74208691811 | 1.25791308189298 | 1.25791308189295 | -0.933584506095741 |
| 30 | 1580 | 1578.80913365209 | 1.19086634790918 | 1.19086634790917 | -0.141903912624387 |
| 31 | 1489 | 1487.91695922252 | 1.08304077748372 | 1.08304077748375 | -0.228479399749395 |
| 32 | 1300 | 1299.13901884085 | 0.860981159150522 | 0.860981159150452 | -0.471088845183622 |
| 33 | 1356 | 1355.0746792648 | 0.925320735197613 | 0.925320735197589 | 0.136652877231904 |
| 34 | 1653 | 1651.7296038946 | 1.27039610540091 | 1.27039610540095 | 0.733772293952912 |
| 35 | 2013 | 2011.31199086803 | 1.68800913196603 | 1.68800913196598 | 0.88905280179455 |
| 36 | 2823 | 2820.37209324107 | 2.62790675893098 | 2.6279067589311 | 2.00327076260357 |
| 37 | 3102 | 3092.92864435822 | -0.82466876178572 | 9.07135564177952 | 0.714903667878759 |
| 38 | 2294 | 2303.83739044764 | -9.83739100257778 | -9.83739044763627 | -1.82603607224978 |
| 39 | 2385 | 2394.74978248743 | -9.74978248743126 | -9.749782487431 | 0.249945968387018 |
| 40 | 2444 | 2453.69010385817 | -9.69010385816554 | -9.69010385816548 | 0.170410372467922 |
| 41 | 1748 | 1758.28534226272 | -10.2853422627184 | -10.2853422627184 | -1.70115984170702 |
| 42 | 1554 | 1564.4445404027 | -10.4445404027013 | -10.4445404027014 | -0.45537463087236 |
| 43 | 1498 | 1508.48398235816 | -10.4839823581624 | -10.4839823581623 | -0.112918635032151 |
| 44 | 1361 | 1371.5934252775 | -10.593425277502 | -10.593425277502 | -0.313596251746477 |
| 45 | 1346 | 1356.59723389861 | -10.5972338986101 | -10.5972338986102 | -0.0109226156404255 |
| 46 | 1564 | 1574.39982696537 | -10.399826965368 | -10.399826965368 | 0.56662619204054 |
| 47 | 1640 | 1650.32528009306 | -10.3252800930642 | -10.3252800930642 | 0.21416017318151 |
| 48 | 2293 | 2302.75344796805 | -9.75344796804893 | -9.75344796804878 | 1.64419206296057 |
| 49 | 2815 | 2668.53942710581 | -13.314597589394 | 146.460572894194 | 0.978620668578418 |
| 50 | 3137 | 3145.87586117877 | -8.87586189289068 | -8.87586117877414 | 1.15395212160484 |
| 51 | 2679 | 2688.18538925105 | -9.1853892510505 | -9.18538925105029 | -1.11334551954673 |
| 52 | 1969 | 1978.66804393599 | -9.66804393599269 | -9.66804393599262 | -1.7372680014837 |
| 53 | 1870 | 1879.72952497868 | -9.7295249786753 | -9.72952497867531 | -0.221447417341103 |
| 54 | 1633 | 1642.88583204357 | -9.88583204357323 | -9.88583204357323 | -0.563387099848647 |
| 55 | 1529 | 1538.95051531976 | -9.95051531976276 | -9.95051531976273 | -0.233302282994874 |
| 56 | 1366 | 1376.05563172285 | -10.0556317228476 | -10.0556317228477 | -0.379398802493486 |
| 57 | 1357 | 1367.05490719868 | -10.0549071986812 | -10.0549071986813 | 0.00261683668403749 |
| 58 | 1570 | 1579.90192029567 | -9.90192029566647 | -9.90192029566643 | 0.552937533572252 |
| 59 | 1535 | 1544.91912254338 | -9.91912254337834 | -9.91912254337826 | -0.0622164010088982 |
| 60 | 2491 | 2500.25753411099 | -9.25753411099087 | -9.25753411099067 | 2.39444715667773 |
| 61 | 3084 | 2944.57622097995 | -12.6748891160769 | 139.423779020046 | 1.1704505225562 |
| 62 | 2605 | 2620.00914145838 | -15.0091426311065 | -15.009141458378 | -0.740632757881822 |
| 63 | 2573 | 2588.01884614856 | -15.0188461485578 | -15.0188461485575 | -0.0421215641751013 |
| 64 | 2143 | 2158.25570753698 | -15.2557075369768 | -15.2557075369768 | -1.0287685305937 |
| 65 | 1693 | 1708.50370770301 | -15.5037077030115 | -15.5037077030115 | -1.0777629674125 |
| 66 | 1504 | 1519.60262235052 | -15.602622350524 | -15.602622350524 | -0.430110095720722 |
| 67 | 1461 | 1476.61823339187 | -15.6182333918693 | -15.6182333918693 | -0.0679201294877077 |
| 68 | 1354 | 1369.67027312212 | -15.6702731221162 | -15.6702731221162 | -0.226542208083385 |
| 69 | 1333 | 1348.67330654662 | -15.6733065466242 | -15.6733065466244 | -0.013212792179406 |
| 70 | 1492 | 1507.57394744197 | -15.573947441969 | -15.5739474419689 | 0.433028281819559 |
| 71 | 1781 | 1796.40079568162 | -15.4007956816156 | -15.4007956816154 | 0.755061875753675 |
| 72 | 1915 | 1930.31590886616 | -15.3159088661605 | -15.3159088661604 | 0.370375943849921 |
| Structural Time Series Model -- Extrapolation | |||
| t | Observed | Level | Seasonal |
| 1 | 2036.73999555258 | 1180.19476655322 | 856.545228999362 |
| 2 | 1697.94070428138 | 904.735462710854 | 793.20524157053 |
| 3 | 1274.27948395203 | 629.276158868487 | 645.00332508354 |
| 4 | 531.083673583018 | 353.816855026121 | 177.266818556897 |
| 5 | -201.157994949288 | 78.3575511837548 | -279.515546133043 |
| 6 | -663.29124312472 | -197.101752658611 | -466.189490466108 |
| 7 | -984.657962123811 | -472.561056500978 | -512.096905622833 |
| 8 | -1388.59598312841 | -748.020360343344 | -640.575622785062 |
| 9 | -1658.94072770656 | -1023.47966418571 | -635.461063520852 |
| 10 | -1623.52243334406 | -1298.93896802808 | -324.583465315988 |
| 11 | -1694.66438733118 | -1574.39827187044 | -120.266115460741 |
| 12 | -1343.18998061851 | -1849.85757571281 | 506.667595094299 |
