Structural Time Series Model | |||||
t | Observed | Level | Slope | Seasonal | Stand. Residuals |
1 | 37 | 37 | 0 | 0 | 0 |
2 | 30 | 34.0671084504094 | -0.315647737896301 | -0.315647736716693 | -0.291557373239402 |
3 | 47 | 39.2754264905757 | 0.11301801109518 | 0.113018011095178 | 0.578107230534407 |
4 | 35 | 37.5988246319671 | 0.00609094512104394 | 0.0060909451210442 | -0.194826690254935 |
5 | 30 | 34.6319916237495 | -0.138701840871005 | -0.138701840871004 | -0.3327193574072 |
6 | 43 | 37.8293313222563 | 0.000285651134746523 | 0.000285651134746358 | 0.380389932955922 |
7 | 82 | 54.734562025283 | 0.626347555767166 | 0.626347555767167 | 1.9516353763694 |
8 | 40 | 49.2755392508467 | 0.420159259664933 | 0.420159259664934 | -0.708355611710072 |
9 | 47 | 48.5140116965764 | 0.382764613514644 | 0.382764613514644 | -0.138315763526530 |
10 | 19 | 37.4418371634876 | 0.0393364718001919 | 0.0393364718001923 | -1.34590443540171 |
11 | 52 | 42.9493181781026 | 0.196170714087929 | 0.196170714087929 | 0.644219300663072 |
12 | 136 | 78.0934249057448 | 1.16140934013955 | 1.16140934013954 | 4.12554663337715 |
13 | 80 | 82.4051287930136 | 0.803640420332868 | -8.84004462743343 | 0.530695402530692 |
14 | 42 | 65.051615442622 | 0.054273280851314 | 0.0542732923496264 | -1.77265794694282 |
15 | 54 | 60.6291424886599 | -0.0882433345724525 | -0.0882433345724519 | -0.486103539806455 |
16 | 66 | 62.6908736996413 | -0.0332820757823487 | -0.0332820757823507 | 0.244989301253035 |
17 | 81 | 69.6599818490697 | 0.117306975926682 | 0.117306975926684 | 0.817044166716085 |
18 | 63 | 67.173086793437 | 0.068127454075331 | 0.0681274540753288 | -0.307662325615526 |
19 | 137 | 93.436457744403 | 0.517994320813638 | 0.51799432081364 | 3.11620637069108 |
20 | 72 | 85.5313682814193 | 0.382947131209116 | 0.382947131209119 | -1.00607627066500 |
21 | 107 | 93.6608382016142 | 0.501077588735697 | 0.501077588735698 | 0.927553150304634 |
22 | 58 | 80.4581273309898 | 0.299769558235157 | 0.299769558235159 | -1.64344369789465 |
23 | 36 | 63.9281948750631 | 0.0595839504322536 | 0.0595839504322537 | -2.02042796921583 |
24 | 52 | 59.4900687050896 | -0.00312604141474305 | -0.00312604141474494 | -0.54034738640311 |
25 | 79 | 65.1690060817906 | -0.296958217294313 | 3.26654037666748 | 0.816165036492403 |
26 | 77 | 69.9327176397053 | -0.163315956956953 | -0.163315945538547 | 0.539272850845273 |
27 | 54 | 63.696619994003 | -0.286952611242518 | -0.286952611242513 | -0.689459781792143 |
28 | 84 | 71.361935332189 | -0.15642868646816 | -0.156428686468162 | 0.929872419065168 |
29 | 48 | 62.5185472204572 | -0.27701760417005 | -0.277017604170044 | -1.03081304168558 |
30 | 96 | 74.99792153124 | -0.120646343560960 | -0.120646343560963 | 1.52551249389633 |
31 | 83 | 77.9573560741685 | -0.086122045861719 | -0.0861220458617164 | 0.369942030387921 |
32 | 66 | 73.4756554444656 | -0.132363334029531 | -0.132363334029526 | -0.529281929120724 |
33 | 61 | 68.7937784664887 | -0.178117812451621 | -0.178117812451619 | -0.548659557065844 |
34 | 53 | 62.8678232306838 | -0.234077744574632 | -0.23407774457463 | -0.693843428894893 |
35 | 30 | 50.5756044641092 | -0.348675414200005 | -0.348675414200005 | -1.45649856561658 |
36 | 74 | 59.2017176099048 | -0.264959393837943 | -0.264959393837946 | 1.08452209496677 |
37 | 69 | 61.189327525208 | -0.34037124629908 | 3.74408369789963 | 0.306763102795221 |
38 | 59 | 60.2507045095553 | -0.351987476238834 | -0.351987464594544 | -0.0662477595957704 |
39 | 42 | 53.1654628542818 | -0.452754206075758 | -0.452754206075749 | -0.78005018736377 |
40 | 65 | 57.5263499840013 | -0.394569177253741 | -0.394569177253741 | 0.569637436002642 |
41 | 70 | 62.1044147754013 | -0.343605642903206 | -0.3436056429032 | 0.594750080138199 |
42 | 100 | 76.1680237933218 | -0.212868237585064 | -0.212868237585066 | 1.73293648170817 |
43 | 63 | 71.2077589022676 | -0.252364401924127 | -0.252364401924125 | -0.572834761579663 |
44 | 105 | 83.7167842250474 | -0.152464757185518 | -0.152464757185516 | 1.54266391728603 |
45 | 82 | 83.0393997660179 | -0.156402951636845 | -0.156402951636844 | -0.0635256883153927 |
46 | 81 | 82.2413690241213 | -0.161074345587819 | -0.161074345587817 | -0.077703578920588 |
47 | 75 | 79.5098014807554 | -0.179386215058064 | -0.179386215058065 | -0.311435531989578 |
48 | 102 | 87.817101121155 | -0.119908849226321 | -0.119908849226324 | 1.02853430266919 |
49 | 121 | 98.1776819780824 | -0.379309693215247 | 4.17240660863431 | 1.38956317156998 |
50 | 98 | 98.0252747333647 | -0.375826144700893 | -0.375826128063804 | 0.0256752879138793 |
51 | 76 | 89.551325373142 | -0.471636492175208 | -0.471636492175192 | -0.949061242123092 |
52 | 77 | 84.7142597088665 | -0.513397339314662 | -0.513397339314667 | -0.520171725959087 |
53 | 63 | 76.4679979380646 | -0.57621152654483 | -0.576211526544819 | -0.92914821466339 |
54 | 37 | 61.6153896802288 | -0.679051361969763 | -0.679051361969767 | -1.72302404363950 |
55 | 35 | 51.5421475741942 | -0.741189251124894 | -0.741189251124895 | -1.13660580672317 |
56 | 23 | 40.7466735646845 | -0.803861378156782 | -0.803861378156778 | -1.21823086562640 |
57 | 40 | 40.2625458498069 | -0.801948473910867 | -0.801948473910865 | 0.0387744205668611 |
58 | 29 | 35.8754051069844 | -0.822793631044984 | -0.822793631044981 | -0.435015163561924 |
59 | 37 | 36.0806287449173 | -0.81693680382169 | -0.816936803821692 | 0.124779247320516 |
60 | 51 | 41.405660226982 | -0.782464317764402 | -0.782464317764406 | 0.745672601407395 |
61 | 20 | 30.8153767243869 | -0.589909230883511 | 6.48900153172886 | -1.27958596784119 |
62 | 28 | 29.5928933011181 | -0.597939930575799 | -0.597939922317725 | -0.0725786997937341 |
63 | 13 | 23.1643183013491 | -0.654977400054657 | -0.654977400054645 | -0.688443430875821 |
64 | 22 | 22.5639431191055 | -0.654545208976197 | -0.654545208976197 | 0.00653550317436943 |
65 | 25 | 23.3065338765099 | -0.645145845616579 | -0.645145845616572 | 0.168379161783554 |
66 | 13 | 19.3067220149444 | -0.665180438385684 | -0.665180438385686 | -0.405776123043721 |
67 | 16 | 17.9072739317707 | -0.66921117713715 | -0.66921117713715 | -0.088997803780667 |
68 | 13 | 15.9132662950303 | -0.676071448510229 | -0.676071448510227 | -0.160764796809479 |
69 | 16 | 15.7710514277892 | -0.673415470849055 | -0.673415470849053 | 0.0648302167189355 |
70 | 17 | 16.0530129272959 | -0.668791874403398 | -0.668791874403395 | 0.116070036876449 |
71 | 9 | 13.2647382145488 | -0.678852258164591 | -0.678852258164592 | -0.257571298837704 |
72 | 17 | 14.4742987179818 | -0.670013553542685 | -0.670013553542688 | 0.229532516514790 |
73 | 25 | 15.1084490094974 | -0.691230652088033 | 7.60353716587865 | 0.168326295267939 |
74 | 14 | 14.5224713530272 | -0.690091594327187 | -0.690091587282125 | 0.0121933502314133 |
75 | 8 | 11.8921752047423 | -0.706269825998804 | -0.706269825998792 | -0.230287014248023 |
76 | 7 | 9.88411967373391 | -0.715057228451049 | -0.71505722845105 | -0.156306743395605 |
77 | 10 | 9.74499100434729 | -0.711750641328668 | -0.711750641328663 | 0.0695565566603299 |
78 | 7 | 8.5420505110587 | -0.714255872149867 | -0.71425587214987 | -0.0595069932557826 |
79 | 10 | 8.89933968941821 | -0.709228709422989 | -0.709228709422987 | 0.130042001338295 |
80 | 3 | 6.52786353021991 | -0.71659043105388 | -0.716590431053878 | -0.201933369779238 |