Structural Time Series Model | |||||
t | Observed | Level | Slope | Seasonal | Stand. Residuals |
1 | 89.1 | 89.1 | 0 | 0 | 0 |
2 | 82.6 | 87.6735675936756 | 0.070661335083685 | -4.83289900147734 | -1.26376710787920 |
3 | 102.7 | 92.5374206955054 | 0.441400645419908 | 9.8819388602758 | 1.83295820362419 |
4 | 91.8 | 93.7232253481621 | 0.506741004292658 | -1.96641680831321 | 0.302144510099444 |
5 | 94.1 | 94.2127144407075 | 0.505352961175474 | -0.111460861325777 | -0.00839169356607527 |
6 | 103.1 | 97.0369780569355 | 0.665222298973029 | 5.86933568937909 | 1.24792503782846 |
7 | 93.2 | 96.9559592970436 | 0.620482294699894 | -3.68996230465643 | -0.416890858348134 |
8 | 91 | 95.254247741539 | 0.492271363529052 | -4.04539168199824 | -1.30837928549922 |
9 | 94.3 | 94.3799548114923 | 0.418622208156228 | 0.0430338458187371 | -0.768405531047828 |
10 | 99.4 | 95.5301027953538 | 0.458578386588663 | 3.80440430179163 | 0.409135792443233 |
11 | 115.7 | 101.883034623722 | 0.790185927666442 | 13.2929205217028 | 3.27680620722125 |
12 | 116.8 | 108.687212662064 | 1.13961686611099 | 7.58180917928277 | 3.32436051732856 |
13 | 99.8 | 109.706911171590 | 1.13509570937778 | -9.8961792436059 | -0.0685715403112831 |
14 | 96 | 109.348257679236 | 1.06916975458905 | -13.2145226927723 | -0.854500864357059 |
15 | 115.9 | 108.907536709024 | 0.98186747869165 | 7.11765740644708 | -0.806237121280075 |
16 | 109.1 | 109.866466339628 | 0.980334259507665 | -0.764695170559177 | -0.0116276766541316 |
17 | 117.3 | 112.950381503408 | 1.1284412143855 | 4.18933415614909 | 1.06458804620003 |
18 | 109.8 | 111.018918467751 | 0.912437316831462 | -0.980416359416592 | -1.58438149819009 |
19 | 112.8 | 111.726562209597 | 0.898253266301559 | 1.08980896582434 | -0.108246170312348 |
20 | 110.7 | 113.231941288850 | 0.939299781689044 | -2.58118068487424 | 0.324104624605673 |
21 | 100 | 111.216234790318 | 0.743772586705867 | -10.9755267988505 | -1.5798836516807 |
22 | 113.3 | 112.168052382820 | 0.757299078402837 | 1.11502307530452 | 0.110936266216029 |
23 | 122.4 | 113.011514904984 | 0.76281736576927 | 9.38149827131044 | 0.0457904039142626 |
24 | 112.5 | 110.950920554933 | 0.584392303800081 | 1.77759736505148 | -1.49906264316161 |
25 | 104.2 | 110.987114149466 | 0.550036454056627 | -6.74264463237395 | -0.292175816684771 |
26 | 92.5 | 109.424087122979 | 0.415680887869005 | -16.7526296803810 | -1.12662006499606 |
27 | 117.2 | 109.360115617334 | 0.384313643632208 | 7.87838008183542 | -0.253127173094381 |
28 | 109.3 | 109.786205766286 | 0.387116774161451 | -0.489504658371663 | 0.0217605597666081 |
29 | 106.1 | 107.054852381076 | 0.174595490361852 | -0.710786617790741 | -1.61595075489152 |
30 | 118.8 | 109.944418691896 | 0.360637434850796 | 8.64266670831147 | 1.41228038032247 |
31 | 105.3 | 109.109408654162 | 0.278831216841328 | -3.71495641353411 | -0.626267073776282 |
32 | 106 | 108.171610411705 | 0.196038422195312 | -2.07493289007177 | -0.640119773120965 |
33 | 102 | 109.263521596501 | 0.256582016432027 | -7.33483299174154 | 0.471591316201895 |
34 | 112.9 | 110.077054049504 | 0.293962998896268 | 2.77867847096424 | 0.292616067650864 |
35 | 116.5 | 108.793543513886 | 0.18868608367366 | 7.83157294837637 | -0.827295293706676 |
36 | 114.8 | 109.310003369194 | 0.210486172286256 | 5.46401428385054 | 0.171907489087508 |
37 | 100.5 | 108.408106116676 | 0.136521188636719 | -7.81982454891272 | -0.584310444575924 |
38 | 85.4 | 106.130776274590 | -0.0244901443439168 | -20.5390709669054 | -1.26870561735737 |
39 | 114.6 | 105.368748457967 | -0.0739424434356452 | 9.28970419541597 | -0.386825813918688 |
40 | 109.9 | 106.193972301926 | -0.0133444342839474 | 3.63505965618523 | 0.469928404238995 |
41 | 100.7 | 105.432198674586 | -0.0639627952181262 | -4.67331363913502 | -0.39031617435152 |
42 | 115.5 | 105.261801856565 | -0.0711728571448316 | 10.2465704631829 | -0.0555379637589362 |
43 | 100.7 | 104.792277590348 | -0.0981582484897988 | -4.06087983108222 | -0.208301318247045 |
44 | 99 | 103.681141866864 | -0.166706011980017 | -4.60113639881148 | -0.530579051070181 |
45 | 102.3 | 104.935775751787 | -0.0706867075696512 | -2.74810184645231 | 0.74460993716873 |
46 | 108.8 | 105.203826002547 | -0.0478457458889582 | 3.56942454475373 | 0.177298497179398 |
47 | 105.9 | 102.940971897003 | -0.196962352404455 | 3.13376480298004 | -1.15838376518282 |
48 | 113.2 | 103.033898315068 | -0.177465960388415 | 10.1432394481808 | 0.151602761441785 |
49 | 95.7 | 102.594631830461 | -0.195070989924486 | -6.87397399877705 | -0.137002836868411 |
50 | 80.9 | 101.949997802972 | -0.225322449647116 | -21.0145067820685 | -0.235361753324581 |
51 | 113.9 | 102.529918937718 | -0.171076516455159 | 11.3065335220921 | 0.421389309133307 |
52 | 98.1 | 100.066550888803 | -0.325670633845515 | -1.78585664369489 | -1.19832924639339 |
53 | 102.8 | 101.272461595013 | -0.222297414340018 | 1.40693775932632 | 0.80002735298177 |
54 | 104.7 | 99.4336801714063 | -0.331443103351116 | 5.39357434145746 | -0.844394939938273 |
55 | 95.9 | 98.8169678705694 | -0.350705345622336 | -2.89449844264426 | -0.149108533738204 |
56 | 94.6 | 98.8274489240714 | -0.326321984914312 | -4.2559174931242 | 0.188901504238435 |
57 | 101.6 | 100.150748940310 | -0.214998427842097 | 1.31919845770031 | 0.86283759676451 |
58 | 103.9 | 100.068284042595 | -0.206058489409072 | 3.8212703474185 | 0.0692984642297913 |
59 | 110.3 | 102.038582435518 | -0.059316170606279 | 8.08996161315306 | 1.13755747034755 |
60 | 114.1 | 103.054531207217 | 0.0131635714385628 | 10.9607711642705 | 0.562005063556034 |