Structural Time Series Model | |||||
t | Observed | Level | Slope | Seasonal | Stand. Residuals |
1 | 102.1 | 102.1 | 0 | 0 | 0 |
2 | 102.86 | 102.765151457035 | 0.06421066028975 | 0.0472981722103792 | 0.811371258374927 |
3 | 102.99 | 102.937342900285 | 0.0830850431561682 | 0.0375618299775458 | 0.189765895420029 |
4 | 103.73 | 103.588003997962 | 0.211951644815353 | 0.067714864134335 | 0.954909891260168 |
5 | 105.02 | 104.812706859019 | 0.470198797216456 | 0.0812581721220051 | 1.65487858208892 |
6 | 104.43 | 104.540561632929 | 0.270205063345090 | -0.0205258726395394 | -1.19559366289446 |
7 | 104.63 | 104.613411613814 | 0.215607438579203 | 0.0402172397717256 | -0.315576160168867 |
8 | 104.93 | 104.880139398616 | 0.229932906681037 | 0.0437790001326162 | 0.081455708723675 |
9 | 105.87 | 105.727522168496 | 0.404050369434276 | 0.0692493144769964 | 0.982188462873182 |
10 | 105.66 | 105.705969236383 | 0.283663252394629 | 0.00443160071438382 | -0.676473794049252 |
11 | 106.76 | 106.609177722391 | 0.459174208723252 | 0.0775061606676195 | 0.984369587066293 |
12 | 106 | 106.133127680932 | 0.194036528702973 | -0.0224910439118621 | -1.48569097016466 |
13 | 107.22 | 107.125112295267 | 0.411194761759492 | 0.00451842929517610 | 1.45667327957439 |
14 | 107.33 | 107.342766908453 | 0.358721621445186 | 0.003821206714052 | -0.260008449393046 |
15 | 107.11 | 107.230710716395 | 0.227692677879219 | -0.0680454006315661 | -0.739681292772364 |
16 | 108.86 | 108.642470881281 | 0.56135759369155 | 0.0835838855526111 | 1.86501983542233 |
17 | 107.72 | 107.933839215472 | 0.203509707592572 | -0.070446551532578 | -1.99747126935286 |
18 | 107.88 | 107.934205468626 | 0.146308209952554 | -0.0312448268648332 | -0.319764662433646 |
19 | 108.38 | 108.319849571243 | 0.213686298759239 | 0.0330781989645532 | 0.376964778916922 |
20 | 107.72 | 107.889039538910 | 0.0322513933179768 | -0.0961080204849495 | -1.01545858717818 |
21 | 108.41 | 108.265389713630 | 0.129124049066835 | 0.105662449630389 | 0.542271327969 |
22 | 109.9 | 109.714326201406 | 0.500715448906563 | 0.0362588532372428 | 2.08026990939708 |
23 | 111.45 | 111.193613654370 | 0.776254836292293 | 0.145587891498956 | 1.54261026183656 |
24 | 112.18 | 112.252279326314 | 0.855671935194427 | -0.104203793427510 | 0.444689780661887 |
25 | 113.34 | 113.224810759244 | 0.888089973140158 | 0.102049069170236 | 0.196644175735931 |
26 | 113.46 | 113.520212788915 | 0.725146290757188 | -0.00276096361689073 | -0.85787675926491 |
27 | 114.06 | 114.244820601299 | 0.724996985899211 | -0.184762113724858 | -0.00083967605545427 |
28 | 115.54 | 115.285735604074 | 0.813519896172332 | 0.219399538641074 | 0.495729607223135 |
29 | 116.39 | 116.398029269592 | 0.897292134789788 | -0.0409189242552296 | 0.467859690556891 |
30 | 115.94 | 116.251556685710 | 0.604801409303994 | -0.196582891669543 | -1.63528753513486 |
31 | 116.97 | 116.844524646464 | 0.601486011141343 | 0.126779821009020 | -0.0185506130058656 |
32 | 115.94 | 116.300401985885 | 0.280522780961716 | -0.234065698926343 | -1.79648518578687 |
33 | 115.91 | 116.003649299062 | 0.118780668329578 | -0.0299736903632424 | -0.90543196184608 |
34 | 116.43 | 116.399524995428 | 0.196424933136498 | -9.530930384552e-05 | 0.434686592306393 |
35 | 116.26 | 116.237925550805 | 0.0961101278666753 | 0.0615700667171395 | -0.561600288915193 |
36 | 116.35 | 116.435811108018 | 0.1245715588933 | -0.0970117213422119 | 0.159495425282006 |
37 | 117.9 | 117.417821519902 | 0.363198753510621 | 0.387126608350525 | 1.39661150407570 |
38 | 117.7 | 117.727551245982 | 0.348419018330608 | -0.0221249495079620 | -0.0798484402436809 |
39 | 117.53 | 117.826874428711 | 0.279472100006796 | -0.270231867062211 | -0.386690010795041 |
40 | 117.86 | 117.773280784439 | 0.186487873012909 | 0.122969793321466 | -0.521370824042164 |
41 | 117.65 | 117.663367194782 | 0.103638542355162 | 0.0188137010861343 | -0.462937653020033 |
42 | 116.51 | 116.923002540769 | -0.132163703558486 | -0.321356449630923 | -1.31836801891653 |
43 | 115.93 | 115.88208675318 | -0.386004644997404 | 0.146662301323176 | -1.42032071118767 |
44 | 115.31 | 115.466804163221 | -0.394182837006596 | -0.153621309674475 | -0.0457758208463296 |
45 | 115 | 115.065385319931 | -0.396204205777226 | -0.0645984848540805 | -0.0113159082216976 |