Structural Time Series Model | |||||
t | Observed | Level | Slope | Seasonal | Stand. Residuals |
1 | 27.951 | 27.951 | 0 | 0 | 0 |
2 | 29.781 | 29.682281109847 | 0.0948360585160012 | 0.0987188901529694 | 0.518364563652692 |
3 | 32.914 | 32.7685950363941 | 0.109952582939911 | 0.145404963605929 | 1.49315548015417 |
4 | 33.488 | 33.382266858252 | 0.111910552954803 | 0.105733141747964 | 0.251395246675409 |
5 | 35.652 | 35.508962651678 | 0.120063341195856 | 0.143037348322013 | 1.00552305294813 |
6 | 36.488 | 36.3642114737043 | 0.123031782141866 | 0.123788526295684 | 0.366907814039052 |
7 | 35.387 | 35.2867968412059 | 0.118204968070505 | 0.100203158794136 | -0.599100089596232 |
8 | 35.676 | 35.5504028313556 | 0.118787256491037 | 0.125597168644418 | 0.0725639038726732 |
9 | 34.844 | 34.7410706469133 | 0.115085234399878 | 0.102929353086717 | -0.46318410982435 |
10 | 32.447 | 32.3688836942632 | 0.10520358067585 | 0.0781163057367885 | -1.24127990564956 |
11 | 31.068 | 30.9769908230682 | 0.09927932063533 | 0.0910091769318152 | -0.74712427645299 |
12 | 29.01 | 28.9394979948531 | 0.090857085496405 | 0.0705020051469073 | -1.06634555674936 |
13 | 29.812 | 30.2262412552208 | 0.0405278302552807 | -0.414241255220835 | 0.718694520082875 |
14 | 30.951 | 30.9182908148114 | 0.0560284204303759 | 0.0327091851885818 | 0.277683164829393 |
15 | 32.974 | 32.8357809135129 | 0.0620252641005967 | 0.138219086487088 | 0.927961227345693 |
16 | 32.936 | 32.9164997454234 | 0.0620574460224428 | 0.0195002545766478 | 0.00931968735363885 |
17 | 34.012 | 33.9168251208452 | 0.0638411461068913 | 0.0951748791548492 | 0.467767371475215 |
18 | 32.946 | 32.9013885067358 | 0.0617680106362301 | 0.0446114932641551 | -0.538066481662104 |
19 | 31.948 | 31.9282358708214 | 0.0597849004397678 | 0.0197641291786356 | -0.515951786143689 |
20 | 30.599 | 30.5594756045106 | 0.0570531941824638 | 0.0395243954893861 | -0.712189014564385 |
21 | 27.691 | 27.68590839872 | 0.0514606368346587 | 0.00509160128004148 | -1.46103283830045 |
22 | 25.073 | 25.0836818184833 | 0.0463973732317297 | -0.0106818184833299 | -1.32297207574768 |
23 | 23.406 | 23.3614683258374 | 0.0428946106649028 | 0.0445316741626302 | -0.88179380265044 |
24 | 22.248 | 22.251988051373 | 0.0411954024912845 | -0.00398805137295444 | -0.574327773773983 |
25 | 22.896 | 23.1202128919701 | 0.0254455071084178 | -0.224212891970127 | 0.451693759319038 |
26 | 25.317 | 25.278940027268 | 0.057147863486214 | 0.0380599727320193 | 0.97164551336651 |
27 | 26.558 | 26.3997915434878 | 0.0602235143825032 | 0.158208456512214 | 0.529920853254009 |
28 | 26.471 | 26.4942170419496 | 0.0602620943279462 | -0.0232170419495564 | 0.0170465742187046 |
29 | 27.543 | 27.4050668281532 | 0.0613461044952772 | 0.137933171846752 | 0.423927746788685 |
30 | 26.198 | 26.194513629949 | 0.0596688320864539 | 0.00348637005104242 | -0.633906444947747 |
31 | 24.725 | 24.7336615781193 | 0.0576656174502978 | -0.0086615781192883 | -0.757817892548488 |
32 | 25.005 | 24.8952464199967 | 0.0578022405174061 | 0.109753580003271 | 0.0517926299403132 |
33 | 23.462 | 23.4544416228313 | 0.0558356284908029 | 0.00755837716875017 | -0.746894287533493 |
34 | 20.78 | 20.8254384476662 | 0.0522786131586113 | -0.0454384476662017 | -1.3381196983024 |
35 | 19.815 | 19.7358661900443 | 0.0506394529927024 | 0.0791338099557167 | -0.56917058946496 |
36 | 19.761 | 19.7570501231131 | 0.0506235928511755 | 0.0039498768869447 | -0.0146735814276154 |
37 | 21.454 | 21.6891022959696 | 0.0282395335751107 | -0.23510229596963 | 0.993203408723862 |
38 | 23.899 | 23.843338338754 | 0.0506743679610123 | 0.0556616612459906 | 0.99693885906984 |
39 | 24.939 | 24.7732740734182 | 0.0531522485625907 | 0.165725926581773 | 0.437761608624555 |
40 | 23.58 | 23.7114562520328 | 0.0521465695141701 | -0.131456252032815 | -0.555651384854303 |
41 | 24.562 | 24.3664949620859 | 0.0527347025308098 | 0.195505037914115 | 0.300437613106027 |
42 | 24.696 | 24.6470789061903 | 0.0529722061299865 | 0.0489210938097251 | 0.113543101621214 |
43 | 23.785 | 23.8575707948087 | 0.0520905480747668 | -0.0725707948086722 | -0.419829898870615 |
44 | 23.812 | 23.6839642716999 | 0.0518550514238167 | 0.128035728300071 | -0.112470644577997 |
45 | 21.917 | 21.910214886053 | 0.0499523013951063 | 0.00678511394702009 | -0.90974472862603 |
46 | 19.713 | 19.7907966165496 | 0.0476253728288559 | -0.077796616549616 | -1.08108458022788 |
47 | 19.282 | 19.1833406410902 | 0.046854303036211 | 0.0986593589097938 | -0.32650092809884 |
48 | 18.788 | 18.8408619782455 | 0.0468552139724681 | -0.0528619782454603 | -0.1939219954033 |
49 | 21.453 | 21.5991636503791 | 0.0242209248123714 | -0.146163650379066 | 1.40611857358187 |
50 | 24.482 | 24.3888578920464 | 0.0463344642493442 | 0.0931421079535775 | 1.31842027469617 |
51 | 27.474 | 27.1664273447731 | 0.0539632703964259 | 0.307572655226881 | 1.35897162614812 |
52 | 27.264 | 27.4464935979 | 0.0541498382622076 | -0.182493597899998 | 0.112675309366731 |
53 | 27.349 | 27.1923434686388 | 0.0539023409279964 | 0.156656531361172 | -0.153623517918958 |
54 | 30.632 | 30.3985078553994 | 0.056690757332931 | 0.23349214460057 | 1.5707344197462 |
55 | 29.429 | 29.5933220746862 | 0.0559177139468276 | -0.164322074686194 | -0.429463234798237 |
56 | 30.084 | 29.885197855552 | 0.0561286028410186 | 0.198802144447981 | 0.117575118197976 |
57 | 26.29 | 26.3719106180939 | 0.0529310805982058 | -0.0819106180938777 | -1.7786011389199 |
58 | 24.379 | 24.4705125070327 | 0.0510852708739122 | -0.0915125070326936 | -0.973871080469464 |
59 | 23.335 | 23.2127926591849 | 0.0497679399386729 | 0.122207340815055 | -0.652278390104376 |
60 | 21.346 | 21.5455832473609 | 0.0503698813768597 | -0.199583247360907 | -0.855229828192912 |
61 | 21.106 | 21.5444711768993 | 0.0506893104016439 | -0.4384711768993 | -0.0264065547536465 |
62 | 24.514 | 24.4193591285901 | 0.0684916903407457 | 0.0946408714098603 | 1.3607917211556 |
63 | 28.353 | 27.8823714241617 | 0.0778667532750946 | 0.470628575838323 | 1.68802897542128 |
64 | 30.805 | 30.8191240414457 | 0.0802121627466569 | -0.0141240414457008 | 1.42467142186608 |
65 | 31.348 | 31.339911928509 | 0.0805184710095138 | 0.00808807149104982 | 0.219527012160836 |
66 | 34.556 | 34.1381471492783 | 0.0826412546723227 | 0.417852850721718 | 1.35414341822993 |
67 | 33.855 | 34.0895728267751 | 0.0825358535931282 | -0.234572826775071 | -0.0653801379497324 |
68 | 34.787 | 34.4163465186249 | 0.082731622355919 | 0.370653481375113 | 0.121695121109218 |
69 | 32.529 | 32.6131529529242 | 0.0812052351878342 | -0.0841529529242429 | -0.93969732191401 |
70 | 29.998 | 30.1250095174228 | 0.0789659428722756 | -0.127009517422761 | -1.28031821482307 |
71 | 29.257 | 29.037099393196 | 0.0779526998209324 | 0.219900606803973 | -0.581502740620568 |
72 | 28.155 | 28.349485873092 | 0.078394958084893 | -0.19448587309201 | -0.381377727137245 |
73 | 30.466 | 30.9667426518345 | 0.0662885994978607 | -0.500742651834469 | 1.29269141245509 |
74 | 35.704 | 35.5665557049464 | 0.0894390053317469 | 0.137444295053597 | 2.20043530746425 |
75 | 39.327 | 38.8512083839585 | 0.098101199816456 | 0.475791616041495 | 1.58812501251722 |
76 | 39.351 | 39.3726007834208 | 0.0984613733985634 | -0.0216007834207781 | 0.210938155779727 |
77 | 42.234 | 42.2065345432353 | 0.100179040282199 | 0.0274654567646527 | 1.3629840342087 |
78 | 43.63 | 43.1822795349986 | 0.100797809466341 | 0.447720465001424 | 0.436251043518297 |
79 | 43.722 | 43.9607476147082 | 0.101298305103429 | -0.238747614708237 | 0.337648539526512 |
80 | 43.121 | 42.7543690727016 | 0.100329841514624 | 0.366630927298384 | -0.651548915561373 |
81 | 37.985 | 38.1824455175572 | 0.096797162397065 | -0.197445517557186 | -2.327983679072 |
82 | 37.135 | 37.1768450891918 | 0.095888889804103 | -0.0418450891917963 | -0.549326214262921 |
83 | 34.646 | 34.4528119219027 | 0.0937862704321035 | 0.193188078097325 | -1.40517726019916 |
84 | 33.026 | 33.3372136263358 | 0.0946579421822696 | -0.311213626335754 | -0.602571760195273 |
85 | 35.087 | 35.7688255882774 | 0.0859101999511022 | -0.68182558827741 | 1.18370312442093 |
86 | 38.846 | 38.7388974336809 | 0.0980909884947427 | 0.107102566319119 | 1.40726556926566 |
87 | 42.013 | 41.4195972392707 | 0.104911691022747 | 0.593402760729337 | 1.28312046150423 |
88 | 43.908 | 43.956077437479 | 0.107091895120264 | -0.0480774374790342 | 1.21170681378504 |
89 | 42.868 | 42.9849327101363 | 0.106458094773305 | -0.116932710136253 | -0.537240201026684 |
90 | 44.423 | 43.9814863775345 | 0.107036867467762 | 0.441513622465455 | 0.443481781781687 |
91 | 44.167 | 44.3725532900134 | 0.10723289809149 | -0.205553290013397 | 0.141514399893063 |
92 | 43.636 | 43.1265454366718 | 0.106287928964334 | 0.5094545633282 | -0.674236453892417 |
93 | 44.382 | 44.4553746312069 | 0.107170932694524 | -0.0733746312069482 | 0.609132880796467 |
94 | 42.142 | 42.1731089867422 | 0.105290048520726 | -0.0311089867422152 | -1.19065738002841 |
95 | 43.452 | 43.0756493332483 | 0.105795448597636 | 0.376350666751687 | 0.397241840098123 |
96 | 36.912 | 37.6492801686604 | 0.11024165150891 | -0.737280168660415 | -2.75684534303407 |
97 | 42.413 | 42.9071660304828 | 0.0948976260799886 | -0.494166030482826 | 2.5974510182777 |
98 | 45.344 | 45.2817643678203 | 0.102996161049937 | 0.062235632179731 | 1.11667087720184 |
99 | 44.873 | 44.5166241686691 | 0.100776980329637 | 0.356375831330919 | -0.431183888515992 |
100 | 47.51 | 47.3387358209928 | 0.103352280400973 | 0.171264179007211 | 1.35607150987643 |
101 | 49.554 | 49.6253529676683 | 0.104589745144392 | -0.0713529676682605 | 1.08782753901485 |
102 | 47.369 | 47.1439659946756 | 0.103022033928854 | 0.225034005324362 | -1.28842211810628 |
103 | 45.998 | 46.1782949920723 | 0.102325386515533 | -0.180294992072318 | -0.532453728807364 |
104 | 48.14 | 47.620416553665 | 0.103220105085927 | 0.519583446334947 | 0.667527806965795 |
105 | 48.441 | 48.373430420001 | 0.103674853234862 | 0.067569579999054 | 0.323759240271622 |
106 | 44.928 | 45.2325615782222 | 0.101227260901004 | -0.304561578222195 | -1.61675388520215 |
107 | 40.454 | 40.0114636245423 | 0.0983924669917763 | 0.442536375457702 | -2.65173095359341 |
108 | 38.661 | 39.6026547363296 | 0.0988202776637635 | -0.941654736329599 | -0.25279138949226 |
109 | 37.246 | 37.9778484695249 | 0.102952532251004 | -0.731848469524935 | -0.86725216118386 |
110 | 36.843 | 36.747907519259 | 0.098911349919139 | 0.095092480741027 | -0.654819903327935 |
111 | 36.424 | 36.2338444465202 | 0.0974023940775287 | 0.190155553479785 | -0.304383715163824 |
112 | 37.594 | 37.4893568446904 | 0.09855331808338 | 0.104643155309554 | 0.577077004618419 |
113 | 38.144 | 38.0581466552093 | 0.098816286854047 | 0.085853344790697 | 0.23429936587532 |
114 | 38.737 | 38.4396776035899 | 0.098977935974731 | 0.297322396410068 | 0.140856960817298 |
115 | 34.56 | 35.0551072477973 | 0.0968166721082219 | -0.495107247797342 | -1.73558239239217 |
116 | 36.08 | 35.5900151816737 | 0.0970992413197338 | 0.48998481832627 | 0.218268385291336 |
117 | 33.508 | 33.438399361223 | 0.0955615983272436 | 0.069600638776962 | -1.12042062354352 |
118 | 35.462 | 35.3514469552597 | 0.0968745682160113 | 0.110553044740315 | 0.905646895073373 |
119 | 33.374 | 33.0799955217435 | 0.0958279099609008 | 0.294004478256498 | -1.17988727367723 |
120 | 32.11 | 32.9531586295061 | 0.0960177339827477 | -0.84315862950613 | -0.110990305592535 |
121 | 35.533 | 35.9287525195475 | 0.0904264368125662 | -0.395752519547451 | 1.44573950220552 |
122 | 35.532 | 35.4357404751158 | 0.0888970567963246 | 0.0962595248841726 | -0.287280108026436 |
123 | 37.903 | 37.6586767372394 | 0.093936992613787 | 0.244323262760579 | 1.05954528704126 |
124 | 36.763 | 36.790520623728 | 0.0929404822125309 | -0.0275206237279602 | -0.479378506139735 |
125 | 40.399 | 40.1561955509529 | 0.0947764185989582 | 0.242804449047077 | 1.63067610487277 |
126 | 44.164 | 43.5089887060069 | 0.096552228270283 | 0.655011293993074 | 1.62323412905553 |
127 | 44.496 | 44.9893783158999 | 0.0973743951541975 | -0.493378315899908 | 0.689452801972381 |
128 | 43.11 | 42.6751349623194 | 0.0958616434515005 | 0.434865037680559 | -1.20152276271583 |
129 | 43.88 | 43.8455611493993 | 0.0965826336421074 | 0.0344388506006841 | 0.535402301943424 |
130 | 43.93 | 43.6898132956133 | 0.0964084907593665 | 0.240186704386738 | -0.125734131948606 |
131 | 44.327 | 43.9867366754996 | 0.0964810711281457 | 0.340263324500412 | 0.099889741767247 |