Structural Time Series Model -- Interpolation | |||||
t | Observed | Level | Slope | Seasonal | Stand. Residuals |
1 | 3370 | 3370 | 0 | 0 | 0 |
2 | 2740 | 2867.92625380967 | -31.4417084614976 | -32.5007737178722 | -0.543577023329663 |
3 | 2920 | 2917.58996521009 | -29.3360963605461 | -28.0264619250397 | 0.130747719974552 |
4 | 2730 | 2797.64254197963 | -30.5959377073035 | -31.5204466956152 | -0.151159492070048 |
5 | 2920 | 2896.07405822842 | -29.2527819679921 | -27.987026525867 | 0.216255852389116 |
6 | 4260 | 3868.56098644999 | -19.876274165091 | -12.419133779304 | 1.68052617061741 |
7 | 3210 | 3414.99373900469 | -23.7817158697605 | -30.0520926820209 | -0.727729337950529 |
8 | 6280 | 5441.27658584741 | -5.64192719290579 | 11.6262815808875 | 3.44018647703489 |
9 | 6930 | 6496.10216710789 | 3.63616671639895 | 6.02210903489044 | 1.77957677387413 |
10 | 4190 | 4872.7249175787 | -10.4651471772545 | -26.2321882459289 | -2.73029663537243 |
11 | 4740 | 4780.22774264546 | -11.1698647457488 | -7.1270604444204 | -0.137657519198287 |
12 | 4800 | 4798.55094026059 | -10.9186697492216 | -10.4520329600555 | 0.04949185672672 |
13 | 3850 | 4291.93047168386 | 21.2419039035567 | -235.86548095251 | -1.03574822632223 |
14 | 2970 | 3293.62411806607 | -8.67203848383918 | -19.0522670213392 | -1.42819611064015 |
15 | 3450 | 3402.82528742488 | -7.21198918889868 | 1.39523544660427 | 0.193803643117308 |
16 | 2150 | 2525.75827568579 | -12.9603686439758 | -27.6408839346865 | -1.45489521834509 |
17 | 1900 | 2091.05891941514 | -15.0489284077832 | -21.5162657860566 | -0.707015447349165 |
18 | 2910 | 2662.49616750458 | -12.4257062862009 | 11.5045248409917 | 0.983642935147177 |
19 | 2200 | 2357.91056300898 | -13.6892186029563 | -40.3172055259518 | -0.49005830122743 |
20 | 3570 | 3208.37018476569 | -9.99906654938291 | 13.787044409856 | 1.4495330940835 |
21 | 5120 | 4551.14090120883 | -4.25938525200765 | 24.3192674885786 | 2.26916895995628 |
22 | 4980 | 4870.72668823426 | -2.89099299267207 | -21.0879819377288 | 0.543228000069705 |
23 | 3990 | 4251.89642700927 | -5.48822679171115 | -13.9526414501747 | -1.03320565265838 |
24 | 3350 | 3614.41702214878 | -8.01162131218921 | -9.98452972469964 | -1.06002144745335 |
25 | 3850 | 3691.60079652477 | -10.6402808302848 | 123.563117982928 | 0.160241725288116 |
26 | 3520 | 3581.3597886832 | -12.5336434708985 | -27.9684988480141 | -0.149571824243698 |
27 | 1790 | 2313.23335214475 | -23.0865631736808 | -31.8774365523956 | -2.07678272540532 |
28 | 1660 | 1863.37424490191 | -24.9785576078868 | -32.839567869166 | -0.714374645060169 |
29 | 1540 | 1653.74359625961 | -25.5875926956821 | -39.7290860464977 | -0.309578155266689 |
30 | 2210 | 2031.73494342597 | -24.3853556483435 | 16.393438260712 | 0.67682196457301 |
31 | 2060 | 2088.08245855459 | -24.1524180349796 | -60.4689237525223 | 0.135402732296266 |
32 | 2580 | 2438.20670110676 | -23.0841652665439 | -8.35690750510002 | 0.627737386489256 |
33 | 4590 | 3941.86525873789 | -18.745742908257 | 35.6354996186188 | 2.56067175269545 |
34 | 4120 | 4091.38797035147 | -18.2680885924889 | -38.8944124285725 | 0.282224056719284 |
35 | 4700 | 4526.99429449914 | -16.9765336188224 | -9.08235122559608 | 0.761263615452818 |
36 | 3470 | 3797.19116791797 | -18.7172927540243 | -41.1613429322303 | -1.19536934953529 |
37 | 2850 | 3083.96781469484 | -4.8482075909813 | 47.9681629885679 | -1.25710210972026 |
38 | 1950 | 2260.33628230468 | -16.2311873078555 | -21.4517802428871 | -1.26971613795605 |
39 | 3190 | 2913.06712890488 | -11.8546122390297 | 14.7346022936909 | 1.10944651980176 |
40 | 2130 | 2377.47369568273 | -13.6427517749653 | -38.7199413136501 | -0.87700154691707 |
41 | 1350 | 1675.60113975521 | -15.3712343433384 | -50.6040988454308 | -1.15389077196157 |
42 | 1510 | 1531.63299023602 | -15.6624704172961 | 29.7761473336105 | -0.215655678660411 |
43 | 1470 | 1520.9684632812 | -15.6514955762318 | -52.9667306745714 | 0.00838194123899601 |
44 | 3210 | 2716.03321054578 | -13.0181802383358 | 9.884970722437 | 2.03049393135488 |
45 | 2150 | 2298.64487910045 | -13.8952516226871 | 13.0364214182597 | -0.678173973154219 |
46 | 3210 | 2960.20010854432 | -12.4270361424751 | -20.2698906724313 | 1.13281865838392 |
47 | 2540 | 2663.60641255554 | -13.047590184414 | -9.98490230672687 | -0.476596020615388 |
48 | 2330 | 2441.29052604658 | -13.3854232953831 | -27.5950689274183 | -0.350893015090242 |
49 | 3230 | 2835.21678455118 | -19.311846443016 | 230.241879943111 | 0.72251186413544 |
50 | 1810 | 2130.01291932813 | -26.7429857169939 | -71.0154035557748 | -1.08374131162804 |
51 | 2060 | 2061.18959317325 | -26.9735906728968 | 15.2968968737007 | -0.0698896437851112 |
52 | 1360 | 1589.23468986421 | -28.2376159813277 | -52.3455633731252 | -0.745262840864918 |
53 | 990 | 1200.51698947748 | -28.9800004948209 | -66.9097729738652 | -0.604395857007095 |
54 | 2310 | 1947.52451997147 | -27.5432803794454 | 53.2113940477335 | 1.30129756134087 |
55 | 1020 | 1365.02509111406 | -28.5403593743121 | -123.830250149647 | -0.93067591684054 |
56 | 1350 | 1337.50563628431 | -28.5385403074079 | 12.0874409711634 | 0.00171210204811201 |
57 | 2570 | 2200.14736392949 | -26.952208620678 | 14.6343327910478 | 1.49455853242266 |
58 | 3170 | 2895.28927122162 | -25.6593829601891 | -13.1118951939255 | 1.21101003590178 |
59 | 2170 | 2401.29199114857 | -26.4999079269246 | -44.6115355295283 | -0.785460342585278 |
60 | 1370 | 1703.08059399424 | -27.2263863607103 | -65.2530650175397 | -1.12623690712156 |
61 | 1330 | 1237.6743648822 | -22.2857204838415 | 268.65354297449 | -0.767526074988182 |
62 | 770 | 944.520904746745 | -24.6631725404807 | -74.4045570920754 | -0.433300990571484 |
63 | 2160 | 1759.47108458845 | -20.6346029850986 | 71.9471799099435 | 1.39569997389278 |
64 | 1520 | 1617.38005863282 | -20.9363925543017 | -49.2211683142736 | -0.203438386479578 |
65 | 1070 | 1286.87209422282 | -21.4847922999041 | -93.8794676750439 | -0.519047425801678 |
66 | 810 | 892.747783150473 | -22.0755029295922 | 65.3559351332303 | -0.624893278814392 |
67 | 1030 | 1056.43788226828 | -21.7895591874541 | -100.275337160683 | 0.311527750223206 |
68 | 2640 | 2154.88120048989 | -20.0771339680234 | 39.8445149998982 | 1.8786397104901 |
69 | 2060 | 2094.98380328638 | -20.138072464123 | -19.155827459976 | -0.066779400197043 |
70 | 4180 | 3535.40183381845 | -17.8813481711663 | 64.0465210391665 | 2.44942981286201 |
71 | 2160 | 2601.53093138655 | -19.2882644160695 | -77.4261635901733 | -1.53619724936347 |
72 | 1500 | 1855.85884534219 | -19.7997940197224 | -67.0238092112455 | -1.21788331357421 |
73 | 1930 | 1723.0717646787 | -18.7753076482347 | 252.247613676418 | -0.196200570285103 |
74 | 2300 | 2195.54345693597 | -15.1900966339832 | -79.347562654775 | 0.792763756981334 |
75 | 1680 | 1782.17299243283 | -16.9109395930162 | 53.4516729023596 | -0.66227900306946 |
76 | 1070 | 1304.05850740214 | -17.9488598518656 | -51.6071771586356 | -0.772552134636609 |
77 | 700 | 926.991334696654 | -18.5148832394044 | -84.654330792486 | -0.602125795483542 |
78 | 1390 | 1191.31287940942 | -18.1185415799771 | 86.5465217815647 | 0.474295903175674 |
79 | 1250 | 1319.52527470086 | -17.9193593851824 | -127.547317423938 | 0.245392978391302 |
80 | 1120 | 1145.70620942679 | -18.1304350971831 | 36.1107924108138 | -0.261441355824554 |
81 | 2170 | 1895.94784353453 | -17.0863033198919 | -30.621815292977 | 1.28855889527805 |
82 | 1510 | 1567.61774800772 | -17.5148241044537 | 65.7967852174849 | -0.521967584087466 |
83 | 1630 | 1638.77894216772 | -17.3953152102317 | -43.9423231797186 | 0.148715234484932 |
84 | 960 | 1206.95335078157 | -17.5706806469599 | -82.5565273768813 | -0.694858950205929 |
85 | 1700 | 1376.03370656469 | -18.9649774129784 | 249.311312837642 | 0.322061485002747 |
86 | 1390 | 1428.80388826398 | -18.5214277125225 | -65.8797862626762 | 0.116525601945788 |
87 | 880 | 996.758578479294 | -20.1615787016358 | 44.6599081660227 | -0.688077885972609 |
88 | 860 | 919.110396101071 | -20.2817151183047 | -36.4151363965767 | -0.096296465176039 |
89 | 800 | 895.755389023369 | -20.2861351158033 | -94.539805210012 | -0.00515294695544395 |
90 | 1410 | 1189.51864200411 | -19.8879161120331 | 96.2244460091472 | 0.526635711228864 |
91 | 1200 | 1278.66480531608 | -19.7536318597524 | -121.807836691903 | 0.182845640544775 |
92 | 1240 | 1243.13999412651 | -19.7729874936827 | 3.10046503032989 | -0.0264477633245231 |
93 | 1920 | 1720.86179372537 | -19.1583628928295 | 2.2855103507991 | 0.83429121693243 |
94 | 1440 | 1484.78098445812 | -19.4305885154095 | 41.0531562442774 | -0.363785468314737 |
95 | 1940 | 1812.99206035829 | -19.0130768546067 | -10.5583614455846 | 0.583007418807039 |
96 | 1380 | 1573.53131117567 | -19.0589986852551 | -106.264432854467 | -0.369629165484175 |
97 | 1660 | 1459.00786464327 | -18.4615871814066 | 239.080524889283 | -0.163922502070669 |
98 | 1450 | 1480.77712369122 | -18.2478140854253 | -46.0606947770318 | 0.0656818847837414 |
99 | 820 | 983.974175154591 | -20.0118926582734 | 22.621748099094 | -0.796532838695827 |
100 | 1020 | 1021.19108344789 | -19.898803527407 | -23.7444850022842 | 0.0958643542979173 |
101 | 820 | 949.066271225032 | -19.9686916421279 | -108.445836654743 | -0.0875668176895252 |
102 | 1320 | 1134.0933854755 | -19.7292671905428 | 104.941835660678 | 0.343760869381402 |
103 | 780 | 968.712350229993 | -19.8943770328079 | -131.182887003569 | -0.244250645579029 |
104 | 1340 | 1228.53831905848 | -19.5777345463715 | 0.977270423278442 | 0.469078992608042 |
105 | 1630 | 1495.41896256909 | -19.250238052004 | 21.4352574348655 | 0.480384029609135 |
106 | 2210 | 1967.76764955701 | -18.6787104685651 | 48.0580057674989 | 0.824424586419665 |
107 | 2010 | 1998.82529162218 | -18.6249694867532 | -8.47178484685925 | 0.0834082267108363 |
108 | 2100 | 2135.81391000768 | -18.6183851032209 | -97.3070616491025 | 0.260933958675129 |
Structural Time Series Model -- Extrapolation | |||
t | Observed | Level | Seasonal |
1 | 1997.27791796606 | 1796.91648160975 | 200.361436356312 |
2 | 1966.46035357101 | 1932.32218737146 | 34.1381661995482 |
3 | 1452.49371875343 | 2067.72789313317 | -615.234174379739 |
4 | 1622.55843840522 | 2203.13359889488 | -580.575160489662 |
5 | 1532.52898603866 | 2338.53930465659 | -806.010318617929 |
6 | 2279.95331612572 | 2473.9450104183 | -193.991694292578 |
7 | 2113.56841850239 | 2609.35071618 | -495.782297677615 |
8 | 2862.84813868535 | 2744.75642194171 | 118.091716743638 |
9 | 3439.72692299315 | 2880.16212770342 | 559.564795289724 |
10 | 3872.08701874076 | 3015.56783346513 | 856.519185275629 |
11 | 3735.91235957337 | 3150.97353922684 | 584.938820346535 |
12 | 3624.35877023469 | 3286.37924498855 | 337.979525246138 |