Seasonal Decomposition by Loess - Parameters | |||
Component | Window | Degree | Jump |
Seasonal | 2031 | 0 | 204 |
Trend | 19 | 1 | 2 |
Low-pass | 13 | 1 | 2 |
Seasonal Decomposition by Loess - Time Series Components | |||||
t | Observed | Fitted | Seasonal | Trend | Remainder |
1 | 115.65 | 115.724850489428 | -0.128964828118213 | 115.704114338690 | 0.0748504894284707 |
2 | 116 | 115.974235583877 | 0.129129806475789 | 115.896634609648 | -0.0257644161234225 |
3 | 115.92 | 115.776561626381 | -0.0257165069867153 | 116.089154880606 | -0.143438373618821 |
4 | 116.1 | 115.865969570382 | 0.0564896506866032 | 116.277540778931 | -0.234030429617789 |
5 | 116.44 | 116.313024599322 | 0.101048723420725 | 116.465926677257 | -0.126975400677566 |
6 | 116.65 | 116.645004304641 | 0.0049414021150451 | 116.650054293244 | -0.00499569535917033 |
7 | 117.45 | 117.751101819171 | 0.314716271597234 | 116.834181909231 | 0.301101819171365 |
8 | 117.58 | 117.98255282248 | 0.158828000540973 | 117.018619176979 | 0.402552822480047 |
9 | 117.43 | 117.639297709941 | 0.0176458453322728 | 117.203056444727 | 0.209297709941183 |
10 | 117.24 | 117.255661210734 | -0.151013064247288 | 117.375351853513 | 0.0156612107338958 |
11 | 117.25 | 117.102024565316 | -0.14967182761646 | 117.547647262300 | -0.147975434683772 |
12 | 117.29 | 117.223415389621 | -0.327433526672032 | 117.684018137051 | -0.066584610379266 |
13 | 117.83 | 117.968575816316 | -0.128964828118213 | 117.820389011802 | 0.138575816315807 |
14 | 118.22 | 118.358065036723 | 0.129129806475789 | 117.952805156802 | 0.138065036722594 |
15 | 118.11 | 118.160495205186 | -0.0257165069867153 | 118.085221301801 | 0.050495205185868 |
16 | 118.23 | 118.180381057794 | 0.0564896506866032 | 118.223129291519 | -0.0496189422055409 |
17 | 118.15 | 117.837913995342 | 0.101048723420725 | 118.361037281237 | -0.312086004657758 |
18 | 118.23 | 117.948554493927 | 0.0049414021150451 | 118.506504103958 | -0.281445506073339 |
19 | 119.03 | 119.093312801723 | 0.314716271597234 | 118.651970926680 | 0.0633128017231996 |
20 | 119.38 | 119.788685745102 | 0.158828000540973 | 118.812486254357 | 0.40868574510155 |
21 | 118.97 | 118.949352572632 | 0.0176458453322728 | 118.973001582035 | -0.0206474273676349 |
22 | 118.78 | 118.574952556512 | -0.151013064247288 | 119.136060507735 | -0.205047443487516 |
23 | 118.97 | 118.790552394182 | -0.14967182761646 | 119.299119433434 | -0.179447605817799 |
24 | 118.94 | 118.757293474885 | -0.327433526672032 | 119.450140051787 | -0.182706525115279 |
25 | 119.86 | 120.247804157978 | -0.128964828118213 | 119.601160670140 | 0.38780415797784 |
26 | 120.09 | 120.297835539334 | 0.129129806475789 | 119.753034654191 | 0.207835539333686 |
27 | 120.13 | 120.380807868746 | -0.0257165069867153 | 119.904908638241 | 0.250807868746023 |
28 | 120.15 | 120.171369446582 | 0.0564896506866032 | 120.072140902731 | 0.0213694465819145 |
29 | 119.9 | 119.459578109357 | 0.101048723420725 | 120.239373167222 | -0.440421890643009 |
30 | 120 | 119.581417852390 | 0.0049414021150451 | 120.413640745495 | -0.418582147609655 |
31 | 120.84 | 120.777375404636 | 0.314716271597234 | 120.587908323767 | -0.06262459536417 |
32 | 121.17 | 121.433967220750 | 0.158828000540973 | 120.747204778709 | 0.263967220749620 |
33 | 120.81 | 120.695852921016 | 0.0176458453322728 | 120.906501233652 | -0.114147078984132 |
34 | 121 | 121.108663274689 | -0.151013064247288 | 121.042349789558 | 0.108663274689391 |
35 | 121.12 | 121.211473482153 | -0.14967182761646 | 121.178198345464 | 0.0914734821525371 |
36 | 121.29 | 121.602917965049 | -0.327433526672032 | 121.304515561623 | 0.312917965049124 |
37 | 122.09 | 122.878132050336 | -0.128964828118213 | 121.430832777782 | 0.788132050336301 |
38 | 121.88 | 122.077969736313 | 0.129129806475789 | 121.552900457211 | 0.197969736313127 |
39 | 121.31 | 120.970748370346 | -0.0257165069867153 | 121.674968136640 | -0.339251629653532 |
40 | 121.33 | 120.812162497029 | 0.0564896506866032 | 121.791347852285 | -0.517837502971361 |
41 | 121.45 | 120.89122370865 | 0.101048723420725 | 121.907727567929 | -0.558776291350014 |
42 | 121.67 | 121.314995212745 | 0.0049414021150451 | 122.020063385140 | -0.355004787254728 |
43 | 122.78 | 123.112884526053 | 0.314716271597234 | 122.13239920235 | 0.332884526052680 |
44 | 122.84 | 123.259459921226 | 0.158828000540973 | 122.261712078233 | 0.419459921226235 |
45 | 122.34 | 122.271329200552 | 0.0176458453322728 | 122.391024954115 | -0.0686707994477587 |
46 | 122.37 | 122.336521938149 | -0.151013064247288 | 122.554491126098 | -0.0334780618505448 |
47 | 122.72 | 122.871714529536 | -0.14967182761646 | 122.717957298080 | 0.151714529536250 |
48 | 122.68 | 122.806984354132 | -0.327433526672032 | 122.880449172540 | 0.126984354132318 |
49 | 122.78 | 122.646023781119 | -0.128964828118213 | 123.042941046999 | -0.133976218881045 |
50 | 123.08 | 122.854139383990 | 0.129129806475789 | 123.176730809534 | -0.225860616009768 |
51 | 122.92 | 122.555195934918 | -0.0257165069867153 | 123.310520572069 | -0.364804065081984 |
52 | 123.51 | 123.536178618435 | 0.0564896506866032 | 123.427331730878 | 0.0261786184352388 |
53 | 124.18 | 124.714808386892 | 0.101048723420725 | 123.544142889688 | 0.534808386891626 |
54 | 124.05 | 124.439930185534 | 0.0049414021150451 | 123.655128412351 | 0.389930185533743 |
55 | 124.36 | 124.639169793388 | 0.314716271597234 | 123.766113935015 | 0.279169793388007 |
56 | 123.87 | 123.705369563861 | 0.158828000540973 | 123.875802435598 | -0.164630436138594 |
57 | 123.84 | 123.676863218487 | 0.0176458453322728 | 123.985490936180 | -0.163136781512733 |
58 | 123.85 | 123.768727744064 | -0.151013064247288 | 124.082285320184 | -0.0812722559362982 |
59 | 123.83 | 123.630592123430 | -0.14967182761646 | 124.179079704187 | -0.199407876570234 |
60 | 123.84 | 123.748996779928 | -0.327433526672032 | 124.258436746744 | -0.0910032200717836 |
61 | 124.27 | 124.331171038817 | -0.128964828118213 | 124.337793789301 | 0.0611710388172355 |
62 | 124.56 | 124.575992723258 | 0.129129806475789 | 124.414877470266 | 0.015992723258222 |
63 | 124.57 | 124.673755355756 | -0.0257165069867153 | 124.491961151231 | 0.103755355755709 |
64 | 124.87 | 125.103842716515 | 0.0564896506866032 | 124.579667632798 | 0.233842716515326 |
65 | 125.08 | 125.391577162214 | 0.101048723420725 | 124.667374114365 | 0.311577162214121 |
66 | 124.86 | 124.940647337904 | 0.0049414021150451 | 124.774411259981 | 0.0806473379036419 |
67 | 124.89 | 124.583835322805 | 0.314716271597234 | 124.881448405597 | -0.306164677194701 |
68 | 124.58 | 123.992677362547 | 0.158828000540973 | 125.008494636912 | -0.587322637452587 |
69 | 124.83 | 124.506813286442 | 0.0176458453322728 | 125.135540868226 | -0.323186713558016 |
70 | 124.97 | 124.798129040487 | -0.151013064247288 | 125.29288402376 | -0.171870959512802 |
71 | 125.19 | 125.079444648322 | -0.14967182761646 | 125.450227179294 | -0.110555351677988 |
72 | 125.42 | 125.518474725071 | -0.327433526672032 | 125.648958801601 | 0.0984747250708722 |
73 | 125.74 | 125.761274404210 | -0.128964828118213 | 125.847690423908 | 0.021274404210331 |
74 | 126.07 | 125.928423630307 | 0.129129806475789 | 126.082446563217 | -0.141576369692956 |
75 | 126.35 | 126.408513804460 | -0.0257165069867153 | 126.317202702526 | 0.0585138044602616 |
76 | 126.69 | 126.759706416075 | 0.0564896506866032 | 126.563803933238 | 0.0697064160749363 |
77 | 126.85 | 126.788546112629 | 0.101048723420725 | 126.810405163950 | -0.0614538873712291 |
78 | 127.12 | 127.182357201130 | 0.0049414021150451 | 127.052701396755 | 0.0623572011302684 |
79 | 127.43 | 127.250286098844 | 0.314716271597234 | 127.294997629559 | -0.179713901156106 |
80 | 127.49 | 127.285584947462 | 0.158828000540973 | 127.535587051997 | -0.204415052538039 |
81 | 128.05 | 128.306177680233 | 0.0176458453322728 | 127.776176474435 | 0.256177680232497 |
82 | 127.85 | 127.801282901211 | -0.151013064247288 | 128.049730163037 | -0.0487170987894103 |
83 | 128.35 | 128.526387975978 | -0.14967182761646 | 128.323283851638 | 0.176387975978315 |
84 | 128.29 | 128.268740396363 | -0.327433526672032 | 128.638693130309 | -0.021259603636679 |
85 | 128.38 | 127.934862419139 | -0.128964828118213 | 128.954102408979 | -0.445137580861029 |
86 | 128.8 | 128.189799447046 | 0.129129806475789 | 129.281070746479 | -0.610200552954296 |
87 | 129.18 | 128.777677423009 | -0.0257165069867153 | 129.608039083978 | -0.402322576991082 |
88 | 130.14 | 130.293105102907 | 0.0564896506866032 | 129.930405246407 | 0.153105102906864 |
89 | 130.77 | 131.186179867744 | 0.101048723420725 | 130.252771408835 | 0.416179867744063 |
90 | 131.19 | 131.799710664652 | 0.0049414021150451 | 130.575347933233 | 0.609710664652312 |
91 | 131.32 | 131.427359270773 | 0.314716271597234 | 130.897924457630 | 0.107359270772662 |
92 | 131.41 | 131.461941077181 | 0.158828000540973 | 131.199230922278 | 0.051941077180544 |
93 | 131.61 | 131.701816767741 | 0.0176458453322728 | 131.500537386927 | 0.0918167677408803 |
94 | 131.69 | 131.794970483668 | -0.151013064247288 | 131.736042580579 | 0.104970483668325 |
95 | 131.94 | 132.058124053385 | -0.14967182761646 | 131.971547774231 | 0.118124053385401 |
96 | 131.7 | 131.585171932622 | -0.327433526672032 | 132.142261594050 | -0.114828067378369 |
97 | 132.54 | 132.895989414248 | -0.128964828118213 | 132.312975413870 | 0.355989414248484 |
98 | 132.74 | 132.897911529936 | 0.129129806475789 | 132.452958663588 | 0.157911529935774 |
99 | 133.02 | 133.472774593680 | -0.0257165069867153 | 132.592941913307 | 0.452774593679521 |
100 | 132.76 | 132.752389637522 | 0.0564896506866032 | 132.711120711791 | -0.00761036247803304 |
101 | 133.05 | 133.169651766304 | 0.101048723420725 | 132.829299510276 | 0.11965176630369 |
102 | 132.74 | 132.535786148482 | 0.0049414021150451 | 132.939272449403 | -0.204213851517608 |
103 | 133.16 | 132.956038339873 | 0.314716271597234 | 133.049245388530 | -0.203961660126794 |
104 | 133.1 | 132.862640962938 | 0.158828000540973 | 133.178531036521 | -0.237359037061509 |
105 | 133.37 | 133.414537470156 | 0.0176458453322728 | 133.307816684511 | 0.0445374701562287 |
106 | 133.15 | 132.987175277039 | -0.151013064247288 | 133.463837787208 | -0.162824722960522 |
107 | 133.18 | 132.889812937712 | -0.14967182761646 | 133.619858889904 | -0.290187062287629 |
108 | 133.29 | 133.116969846098 | -0.327433526672032 | 133.790463680574 | -0.173030153902289 |
109 | 133.76 | 133.687896356874 | -0.128964828118213 | 133.961068471245 | -0.0721036431263542 |
110 | 134.51 | 134.751022897780 | 0.129129806475789 | 134.139847295745 | 0.241022897779686 |
111 | 134.82 | 135.347090386742 | -0.0257165069867153 | 134.318626120244 | 0.527090386742259 |
112 | 134.71 | 134.865337338745 | 0.0564896506866032 | 134.498173010568 | 0.155337338745369 |
113 | 134.52 | 134.261231375688 | 0.101048723420725 | 134.677719900892 | -0.258768624312296 |
114 | 134.86 | 134.869492228987 | 0.0049414021150451 | 134.845566368898 | 0.00949222898663038 |
115 | 135.11 | 134.891870891498 | 0.314716271597234 | 135.013412836905 | -0.218129108502296 |
116 | 135.28 | 135.232174483535 | 0.158828000540973 | 135.168997515924 | -0.0478255164645986 |
117 | 135.61 | 135.877771959726 | 0.0176458453322728 | 135.324582194942 | 0.267771959725565 |
118 | 135.22 | 135.095193030830 | -0.151013064247288 | 135.495820033417 | -0.124806969169697 |
119 | 135.47 | 135.422613955725 | -0.14967182761646 | 135.667057871892 | -0.0473860442752994 |
120 | 135.42 | 135.311915200491 | -0.327433526672032 | 135.855518326181 | -0.108084799508674 |
121 | 135.85 | 135.784986047649 | -0.128964828118213 | 136.043978780470 | -0.0650139523514497 |
122 | 136.27 | 136.176268597372 | 0.129129806475789 | 136.234601596152 | -0.0937314026280092 |
123 | 136.3 | 136.200492095152 | -0.0257165069867153 | 136.425224411835 | -0.0995079048480534 |
124 | 136.85 | 137.016478484869 | 0.0564896506866032 | 136.627031864444 | 0.166478484869430 |
125 | 137.05 | 137.170111959526 | 0.101048723420725 | 136.828839317053 | 0.120111959526156 |
126 | 137.03 | 137.015761806050 | 0.0049414021150451 | 137.039296791835 | -0.0142381939496943 |
127 | 137.45 | 137.335529461787 | 0.314716271597234 | 137.249754266616 | -0.114470538213453 |
128 | 137.49 | 137.345283416934 | 0.158828000540973 | 137.475888582525 | -0.144716583066298 |
129 | 137.55 | 137.380331256233 | 0.0176458453322728 | 137.702022898434 | -0.169668743766721 |
130 | 138.04 | 138.280607185203 | -0.151013064247288 | 137.950405879044 | 0.24060718520343 |
131 | 138.03 | 138.010882967963 | -0.14967182761646 | 138.198788859653 | -0.0191170320368030 |
132 | 137.75 | 137.36137005521 | -0.327433526672032 | 138.466063471462 | -0.38862994479004 |
133 | 138.27 | 137.935626744847 | -0.128964828118213 | 138.733338083271 | -0.334373255152656 |
134 | 138.99 | 138.850483096837 | 0.129129806475789 | 139.000387096687 | -0.139516903162672 |
135 | 139.74 | 140.238280396884 | -0.0257165069867153 | 139.267436110103 | 0.498280396883814 |
136 | 139.7 | 139.825602401460 | 0.0564896506866032 | 139.517907947854 | 0.125602401459702 |
137 | 139.97 | 140.070571490975 | 0.101048723420725 | 139.768379785604 | 0.100571490974858 |
138 | 140.21 | 140.414024909086 | 0.0049414021150451 | 140.001033688799 | 0.204024909085575 |
139 | 140.78 | 141.011596136408 | 0.314716271597234 | 140.233687591994 | 0.231596136408427 |
140 | 140.8 | 141.002296592336 | 0.158828000540973 | 140.438875407123 | 0.202296592336268 |
141 | 140.64 | 140.618290932416 | 0.0176458453322728 | 140.644063222251 | -0.0217090675834868 |
142 | 140.42 | 140.157588134407 | -0.151013064247288 | 140.833424929841 | -0.262411865593265 |
143 | 140.85 | 140.826885190187 | -0.14967182761646 | 141.022786637430 | -0.0231148098133929 |
144 | 140.96 | 141.028177443281 | -0.327433526672032 | 141.219256083392 | 0.0681774432805184 |
145 | 141.04 | 140.793239298765 | -0.128964828118213 | 141.415725529353 | -0.24676070123499 |
146 | 141.71 | 141.6685034692 | 0.129129806475789 | 141.622366724324 | -0.0414965308000603 |
147 | 141.6 | 141.396708587691 | -0.0257165069867153 | 141.829007919295 | -0.203291412308658 |
148 | 142.11 | 142.116141478981 | 0.0564896506866032 | 142.047368870332 | 0.00614147898104989 |
149 | 142.59 | 142.81322145521 | 0.101048723420725 | 142.265729821369 | 0.223221455209966 |
150 | 142.56 | 142.622076405222 | 0.0049414021150451 | 142.492982192663 | 0.0620764052218306 |
151 | 143 | 142.965049164446 | 0.314716271597234 | 142.720234563957 | -0.0349508355542127 |
152 | 143.18 | 143.250886238588 | 0.158828000540973 | 142.950285760871 | 0.0708862385878604 |
153 | 143.15 | 143.102017196882 | 0.0176458453322728 | 143.180336957785 | -0.0479828031176339 |
154 | 143.1 | 142.962148042805 | -0.151013064247288 | 143.388865021442 | -0.137851957194812 |
155 | 143.45 | 143.452278742518 | -0.14967182761646 | 143.597393085099 | 0.00227874251766025 |
156 | 143.59 | 143.735074981741 | -0.327433526672032 | 143.772358544931 | 0.145074981741402 |
157 | 143.92 | 144.021640823356 | -0.128964828118213 | 143.947324004762 | 0.101640823355751 |
158 | 144.66 | 145.082660678348 | 0.129129806475789 | 144.108209515176 | 0.422660678347995 |
159 | 144.34 | 144.436621481397 | -0.0257165069867153 | 144.26909502559 | 0.0966214813967383 |
160 | 144.82 | 145.118835464539 | 0.0564896506866032 | 144.464674884775 | 0.298835464538513 |
161 | 144.49 | 144.218696532620 | 0.101048723420725 | 144.660254743960 | -0.271303467380420 |
162 | 144.41 | 143.878153704570 | 0.0049414021150451 | 144.936904893315 | -0.531846295430114 |
163 | 144.99 | 144.451728685732 | 0.314716271597234 | 145.213555042670 | -0.538271314267661 |
164 | 144.95 | 144.141564787588 | 0.158828000540973 | 145.599607211871 | -0.808435212411666 |
165 | 145 | 143.996694773597 | 0.0176458453322728 | 145.985659381071 | -1.0033052264032 |
166 | 145.66 | 144.979024227511 | -0.151013064247288 | 146.491988836736 | -0.680975772489035 |
167 | 146.68 | 146.511353535215 | -0.14967182761646 | 146.998318292402 | -0.168646464785212 |
168 | 147.38 | 147.481824701188 | -0.327433526672032 | 147.605608825484 | 0.101824701187979 |
169 | 147.94 | 147.796065469552 | -0.128964828118213 | 148.212899358566 | -0.143934530448206 |
170 | 149.12 | 149.270927405882 | 0.129129806475789 | 148.839942787642 | 0.15092740588247 |
171 | 149.95 | 150.458730290270 | -0.0257165069867153 | 149.466986216717 | 0.508730290269625 |
172 | 150.19 | 150.296691588056 | 0.0564896506866032 | 150.026818761257 | 0.106691588056293 |
173 | 151.16 | 151.632299970782 | 0.101048723420725 | 150.586651305797 | 0.472299970782188 |
174 | 151.74 | 152.443181081602 | 0.0049414021150451 | 151.031877516283 | 0.703181081601855 |
175 | 152.56 | 153.328180001634 | 0.314716271597234 | 151.477103726769 | 0.768180001633624 |
176 | 152.09 | 152.229514176572 | 0.158828000540973 | 151.791657822887 | 0.139514176571879 |
177 | 152.46 | 152.796142235663 | 0.0176458453322728 | 152.106211919005 | 0.33614223566255 |
178 | 152.66 | 153.202405451633 | -0.151013064247288 | 152.268607612614 | 0.542405451632789 |
179 | 152.38 | 152.478668521393 | -0.14967182761646 | 152.431003306224 | 0.0986685213926535 |
180 | 152.59 | 153.057781665179 | -0.327433526672032 | 152.449651861493 | 0.467781665178961 |
181 | 152.88 | 153.420664411356 | -0.128964828118213 | 152.468300416762 | 0.540664411355834 |
182 | 153.29 | 154.048453955223 | 0.129129806475789 | 152.402416238302 | 0.758453955222564 |
183 | 152.35 | 152.389184447146 | -0.0257165069867153 | 152.336532059841 | 0.0391844471458000 |
184 | 152.49 | 152.67218188475 | 0.0564896506866032 | 152.251328464563 | 0.182181884750037 |
185 | 152.2 | 152.132826407293 | 0.101048723420725 | 152.166124869286 | -0.0671735927065242 |
186 | 151.57 | 151.017777099155 | 0.0049414021150451 | 152.11728149873 | -0.552222900845067 |
187 | 151.55 | 150.716845600229 | 0.314716271597234 | 152.068438128174 | -0.833154399771473 |
188 | 151.79 | 151.312617163338 | 0.158828000540973 | 152.108554836121 | -0.47738283666186 |
189 | 151.52 | 150.873682610600 | 0.0176458453322728 | 152.148671544067 | -0.646317389399769 |
190 | 151.76 | 151.360900164632 | -0.151013064247288 | 152.310112899615 | -0.399099835367707 |
191 | 151.92 | 151.518117572454 | -0.14967182761646 | 152.471554255162 | -0.401882427546013 |
192 | 152.2 | 152.002532520792 | -0.327433526672032 | 152.724901005880 | -0.197467479208370 |
193 | 152.75 | 152.65071707152 | -0.128964828118213 | 152.978247756598 | -0.099282928480136 |
194 | 153.49 | 153.578189152174 | 0.129129806475789 | 153.27268104135 | 0.0881891521741238 |
195 | 153.78 | 154.018602180885 | -0.0257165069867153 | 153.567114326102 | 0.238602180884897 |
196 | 154.1 | 154.273800575923 | 0.0564896506866032 | 153.869709773390 | 0.173800575923082 |
197 | 154.62 | 154.966646055901 | 0.101048723420725 | 154.172305220679 | 0.346646055900521 |
198 | 154.65 | 154.819501233464 | 0.0049414021150451 | 154.475557364421 | 0.169501233464388 |
199 | 154.81 | 154.526474220240 | 0.314716271597234 | 154.778809508162 | -0.283525779759628 |
200 | 154.92 | 154.602678766938 | 0.158828000540973 | 155.078493232521 | -0.317321233062358 |
201 | 155.4 | 155.404177197787 | 0.0176458453322728 | 155.378176956880 | 0.00417719778738501 |
202 | 155.63 | 155.736599292873 | -0.151013064247288 | 155.674413771375 | 0.106599292872630 |
203 | 155.76 | 155.699021241747 | -0.14967182761646 | 155.970650585869 | -0.060978758252503 |