Structural Time Series Model | |||||
t | Observed | Level | Slope | Seasonal | Stand. Residuals |
1 | 108.8 | 108.8 | 0 | 0 | 0 |
2 | 128.4 | 117.211178824977 | 0.0955901788615555 | 11.1621324864549 | 2.91042415177307 |
3 | 121.1 | 122.613264855301 | 0.446742285937217 | -1.52256234981527 | 1.27584387391735 |
4 | 119.5 | 122.431703860164 | 0.406649382648722 | -2.930319386644 | -0.185107233242648 |
5 | 128.7 | 124.764250613934 | 0.497015352915069 | 3.93057569746883 | 0.652755825876451 |
6 | 108.7 | 119.428351127576 | 0.314427530908749 | -10.7114641479625 | -2.07062832614314 |
7 | 105.5 | 112.653097314982 | 0.158465266813489 | -7.13211396268631 | -2.54476718975896 |
8 | 119.8 | 113.272513592459 | 0.166728626641419 | 6.52611465285805 | 0.165735949731735 |
9 | 111.3 | 112.714782371213 | 0.154572223289337 | -1.41262609499108 | -0.260287107656059 |
10 | 110.6 | 111.748506668731 | 0.135748087886444 | -1.14517522864395 | -0.402205332917689 |
11 | 120.1 | 114.573986933762 | 0.181536760427425 | 5.51802900451686 | 0.964273439457565 |
12 | 97.5 | 109.028899021416 | 0.0835286660817276 | -11.5119123385102 | -2.0520579284585 |
13 | 107.7 | 109.240441174363 | 0.0814538545698723 | -1.54083215298086 | 0.0481474759572477 |
14 | 127.3 | 112.883122377830 | 0.0563866848473752 | 14.4060152093126 | 1.33082013482536 |
15 | 117.2 | 116.072519444230 | 0.102230166072411 | 1.11889391659614 | 1.06917712514347 |
16 | 119.8 | 119.324010609306 | 0.187196507095847 | 0.467877081809701 | 1.03683012395512 |
17 | 116.2 | 115.674037188333 | 0.0745110154165837 | 0.536029683628525 | -1.29438045188072 |
18 | 111 | 115.574677276458 | 0.0699802926197199 | -4.57420278283701 | -0.0605916767018478 |
19 | 112.4 | 117.109818336192 | 0.101020040807521 | -4.71392707402822 | 0.520614000319272 |
20 | 130.6 | 119.838396630885 | 0.145851848573793 | 10.7541340574783 | 0.941596109887867 |
21 | 109.1 | 117.049147788465 | 0.104399564248782 | -7.94075484394322 | -1.05487103715998 |
22 | 118.8 | 117.384714760774 | 0.107105186005922 | 1.41462263841072 | 0.0831074481886406 |
23 | 123.9 | 116.702083292557 | 0.100113754826242 | 7.20018335269996 | -0.283758824517858 |
24 | 101.6 | 115.770178702340 | 0.0948073598168744 | -14.1672090196103 | -0.371235482538938 |
25 | 112.8 | 116.264128864976 | 0.0955408813941065 | -3.46528295746135 | 0.144212800865412 |
26 | 128 | 116.353704645913 | 0.0955183354462984 | 11.6463124649919 | -0.00213923242881425 |
27 | 129.6 | 121.157916226389 | 0.141919892906098 | 8.4289501631333 | 1.65005392130372 |
28 | 125.8 | 123.179547598457 | 0.171693622580222 | 2.61534580260706 | 0.647216238041346 |
29 | 119.5 | 122.418539385858 | 0.153851167444917 | -2.91601813294827 | -0.321529571579393 |
30 | 115.7 | 122.04467911483 | 0.143587038697963 | -6.34323500915275 | -0.18429730523603 |
31 | 113.6 | 120.956797871764 | 0.121735521118530 | -7.3533732526361 | -0.435876159858604 |
32 | 129.7 | 119.320045443285 | 0.095126642234908 | 10.3849044215012 | -0.627821539904236 |
33 | 112 | 119.060522017402 | 0.090751907826279 | -7.05951671069976 | -0.127128210242285 |
34 | 116.8 | 117.403341748749 | 0.073897953118858 | -0.598369862280964 | -0.627323265370247 |
35 | 127 | 117.705397266486 | 0.0755404095248206 | 9.29395263756678 | 0.081901534534699 |
36 | 112.1 | 121.183596956774 | 0.0937628455099252 | -9.09330120256582 | 1.22155101136178 |
37 | 114.2 | 121.428367478884 | 0.0944847538632363 | -7.228797640353 | 0.0541352741272421 |
38 | 121.1 | 118.441690238415 | 0.0758275816920888 | 2.66702805978261 | -1.09800231279720 |
39 | 131.6 | 119.721982898053 | 0.086426225824066 | 11.8746512798573 | 0.424949908180246 |
40 | 125 | 120.709332820443 | 0.0970814467288747 | 4.28817962287632 | 0.315284817311608 |
41 | 120.4 | 121.577892686559 | 0.107883688253814 | -1.18001318676815 | 0.269681696819412 |
42 | 117.7 | 122.182599199998 | 0.115228465688199 | -4.48397018877281 | 0.174596772256568 |
43 | 117.5 | 122.806348985447 | 0.122463256085422 | -5.30776394003054 | 0.180059857507474 |
44 | 120.6 | 118.262812441455 | 0.063069213877425 | 2.35027621565872 | -1.66241181166642 |
45 | 127.5 | 122.782815826510 | 0.111044300330536 | 4.70460993294604 | 1.5937213351406 |
46 | 112.3 | 120.835435412983 | 0.0930351472144077 | -8.52960853904714 | -0.737249490652575 |
47 | 124.5 | 119.020112265090 | 0.0796031427388439 | 5.48529884885469 | -0.683842587799757 |
48 | 115.2 | 120.253435367258 | 0.086480383281025 | -5.05670762579813 | 0.413279777203966 |
49 | 104.7 | 117.111097793344 | 0.0678060931119178 | -12.4019559863291 | -1.15448580876976 |
50 | 130.9 | 120.786351986143 | 0.0915284173140489 | 10.1034808306257 | 1.28474215063655 |
51 | 129.2 | 120.815891532127 | 0.0910275097288677 | 8.38428200121722 | -0.0219596379699571 |
52 | 113.5 | 116.836763587804 | 0.0512256512208885 | -3.32544059702542 | -1.43578630759011 |
53 | 125.6 | 119.499574773266 | 0.080276617835844 | 6.09318075612538 | 0.920351497895281 |
54 | 107.6 | 117.293503928411 | 0.0534024354007198 | -9.68715266390997 | -0.80765911880492 |
55 | 107 | 114.308935341325 | 0.0182361598947053 | -7.30045970956358 | -1.07760892098400 |
56 | 121.6 | 116.101632811877 | 0.0372622940776565 | 5.49339190400291 | 0.631925100307959 |
57 | 110.7 | 112.309193499492 | 0.00102101549997884 | -1.59841154879415 | -1.36763415269111 |
58 | 106.3 | 111.895588926665 | -0.00234246877659599 | -5.59441842845491 | -0.148292487865067 |
59 | 118.6 | 112.319305377174 | 0.000625324413290365 | 6.27949013779561 | 0.152464752920625 |
60 | 104.6 | 111.098500861179 | -0.00702497886673446 | -6.49504731022547 | -0.436941679997534 |