Structural Time Series Model | |||||
t | Observed | Level | Slope | Seasonal | Stand. Residuals |
1 | 126.51 | 126.51 | 0 | 0 | 0 |
2 | 131.02 | 130.917202557603 | 3.92246239849399 | 0.102797442396775 | 0.913847618431535 |
3 | 136.51 | 136.475050774094 | 5.4211963270669 | 0.0349492259064152 | 0.323228539519454 |
4 | 138.04 | 138.173301361872 | 2.03974118144753 | -0.133301361871803 | -0.735301004209409 |
5 | 132.92 | 133.129974122407 | -4.40470661680805 | -0.209974122406907 | -1.40484469512538 |
6 | 129.61 | 129.480225546292 | -3.71771194000801 | 0.129774453707634 | 0.149751215420113 |
7 | 122.96 | 123.045183923431 | -6.19027272624965 | -0.0851839234314419 | -0.538970318236795 |
8 | 124.04 | 123.716827700687 | 0.0535258646267449 | 0.323172299312794 | 1.36102692742256 |
9 | 121.29 | 121.422930675273 | -2.08245193375971 | -0.132930675272830 | -0.465601717116753 |
10 | 124.56 | 124.314127141518 | 2.44319451030242 | 0.245872858481893 | 0.986503116255774 |
11 | 118.53 | 118.859869616276 | -4.74289199990166 | -0.329869616275619 | -1.56642743172016 |
12 | 113.14 | 113.072065188506 | -5.69368359272046 | 0.067934811494016 | -0.207254119571685 |
13 | 114.15 | 113.820056964336 | 0.137293918295319 | 0.329943035663569 | 1.30617668807452 |
14 | 122.17 | 121.948627069742 | 6.93900046753001 | 0.221372930258375 | 1.47143578272947 |
15 | 129.23 | 129.251133683834 | 7.26134583979489 | -0.0211336838336444 | 0.0702956150792457 |
16 | 131.19 | 131.227140268583 | 2.59179533094804 | -0.0371402685830076 | -1.01410308589435 |
17 | 129.12 | 129.610135228349 | -1.13022730994044 | -0.490135228349003 | -0.81138113179795 |
18 | 128.28 | 127.762037961368 | -1.76540834426589 | 0.517962038632025 | -0.138455307850871 |
19 | 126.83 | 127.221648312564 | -0.681581329417607 | -0.391648312564396 | 0.236253344661319 |
20 | 138.13 | 136.891532690192 | 8.47639142970118 | 1.23846730980816 | 1.99626004787833 |
21 | 140.52 | 141.496125790248 | 5.05100180883885 | -0.976125790247784 | -0.74666856805515 |
22 | 146.83 | 146.18202903809 | 4.72798641198333 | 0.647970961910118 | -0.0704111087827684 |
23 | 135.14 | 136.055343646103 | -8.4155049146763 | -0.91534364610312 | -2.86507463687213 |
24 | 131.84 | 131.499688352674 | -5.00325927790722 | 0.340311647326001 | 0.744031465440659 |
25 | 125.7 | 126.360997728313 | -5.12301346878176 | -0.660997728313063 | -0.0264407527440768 |
26 | 128.98 | 128.620932867865 | 1.19443231899773 | 0.359067132134668 | 1.36993223458147 |
27 | 133.25 | 132.851918209884 | 3.84495003071638 | 0.398081790116353 | 0.579569553661896 |
28 | 136.76 | 136.547502748048 | 3.71454245588471 | 0.212497251952143 | -0.0283266193563843 |
29 | 133.24 | 133.965409953674 | -1.78161478605764 | -0.725409953673718 | -1.19793769414372 |
30 | 128.54 | 127.911717517843 | -5.51375707469794 | 0.62828248215724 | -0.813530457709215 |
31 | 121.08 | 122.310659902517 | -5.59002397324516 | -1.23065990251707 | -0.0166246282184823 |
32 | 120.23 | 118.583910619587 | -3.96237669087060 | 1.64608938041287 | 0.354795577877309 |
33 | 119.08 | 120.204131792144 | 0.914229817306783 | -1.12413179214442 | 1.06300566305370 |
34 | 125.75 | 123.634521300853 | 3.11237491401478 | 2.11547869914734 | 0.479156498736774 |
35 | 126.89 | 128.025524319659 | 4.22934775702417 | -1.13552431965949 | 0.243479856030229 |
36 | 126.6 | 126.398505058157 | -0.880357027193927 | 0.201494941842746 | -1.11480800848040 |
37 | 121.89 | 123.409157055347 | -2.72377114043586 | -1.51915705534704 | -0.404211138730694 |
38 | 123.44 | 123.244178250926 | -0.529131087357738 | 0.195821749073722 | 0.476768191036138 |
39 | 126.46 | 126.085898453526 | 2.39064071431006 | 0.374101546474418 | 0.638570867909091 |
40 | 129.49 | 128.850332823347 | 2.71512017631326 | 0.639667176652758 | 0.0705390064677417 |
41 | 127.78 | 128.341115013476 | -0.0810618756463612 | -0.561115013476304 | -0.609307726939597 |
42 | 125.29 | 124.751529462 | -3.12645944513900 | 0.538470538000142 | -0.663852200903137 |
43 | 119.02 | 120.215944328442 | -4.34972998793681 | -1.19594432844207 | -0.266645656308553 |
44 | 119.96 | 118.472109226178 | -2.08770905950752 | 1.48789077382238 | 0.493076694308836 |
45 | 122.86 | 123.708481274012 | 4.26988405475962 | -0.848481274012393 | 1.38583280540139 |
46 | 131.89 | 130.04782269332 | 6.06638992233837 | 1.84217730667989 | 0.391610356978546 |
47 | 132.73 | 133.583967899546 | 3.8703892911244 | -0.853967899546154 | -0.478679383073456 |
48 | 135.01 | 134.687628993331 | 1.47156315686195 | 0.322371006669465 | -0.523544218885862 |
49 | 136.71 | 138.225458287533 | 3.2660477324634 | -1.51545828753304 | 0.392236526720319 |
50 | 142.73 | 142.802739606604 | 4.39140544766192 | -0.0727396066035983 | 0.244751629264758 |
51 | 144.43 | 144.456256767502 | 2.02957335327447 | -0.0262567675020932 | -0.516298599702921 |
52 | 144.93 | 144.297405085110 | 0.136365799289824 | 0.632594914889814 | -0.411906978939660 |
53 | 138.75 | 139.335339537302 | -4.26872744002087 | -0.585339537301886 | -0.959709989279856 |
54 | 130.22 | 129.675203425735 | -8.93054893681514 | 0.544796574264559 | -1.01622860367565 |
55 | 122.19 | 123.117440954077 | -6.87835319583681 | -0.927440954076765 | 0.447330940491508 |
56 | 128.4 | 126.847246573552 | 2.29615983216228 | 1.55275342644837 | 1.99986096975472 |
57 | 140.43 | 140.854425058853 | 12.4245091137639 | -0.424425058853141 | 2.20779437417532 |
58 | 153.5 | 151.659603295881 | 11.0239852637545 | 1.84039670411948 | -0.305292617967822 |
59 | 149.33 | 150.660597521916 | 0.629629190843078 | -1.33059752191579 | -2.26577833702963 |
60 | 142.97 | 143.360339514032 | -6.22189287681627 | -0.390339514032104 | -1.49545917193968 |