Structural Time Series Model | |||||
t | Observed | Level | Slope | Seasonal | Stand. Residuals |
1 | 112.8 | 112.8 | 0 | 0 | 0 |
2 | 116.7 | 116.517222998974 | 0.567834594714074 | 0.182777001025732 | 0.565409390838798 |
3 | 119.4 | 119.231765741215 | 1.38057117208508 | 0.168234258784778 | 0.449989653489851 |
4 | 129.8 | 129.667546927876 | 5.15398787451447 | 0.132453072124165 | 1.84545415201493 |
5 | 131.9 | 131.760649294732 | 3.83869893732185 | 0.139350705268115 | -0.618222697451815 |
6 | 129.8 | 129.653066187873 | 1.25748740411035 | 0.146933812127264 | -1.19798656557481 |
7 | 131.6 | 131.453456953824 | 1.49397222226914 | 0.14654304617585 | 0.109316176821515 |
8 | 134.3 | 134.15394662628 | 2.02017240916277 | 0.146053373719683 | 0.242927760095655 |
9 | 136.7 | 136.554033537925 | 2.18594291709768 | 0.145966462075126 | 0.076499245707281 |
10 | 134.7 | 134.55349378301 | 0.358876189159077 | 0.146506216989863 | -0.84304027188398 |
11 | 138.1 | 137.953714756069 | 1.68629516154975 | 0.146285243931395 | 0.612469067079526 |
12 | 132.4 | 132.253412322041 | -1.53777619742481 | 0.146587677959371 | -1.48756222230761 |
13 | 125 | 127.652597566725 | -2.8339663446751 | -2.6525975667247 | -0.702772644611231 |
14 | 117.7 | 117.613890868718 | -5.69158112658533 | 0.0861091312824908 | -1.18297478689257 |
15 | 112 | 111.913867470041 | -5.69528611708848 | 0.0861325299592146 | -0.0016901095667935 |
16 | 106.3 | 106.213860099523 | -5.69734906362555 | 0.0861399004772734 | -0.000948392573978235 |
17 | 100.5 | 100.413769713474 | -5.74219276785388 | 0.0862302865255695 | -0.0206667241431879 |
18 | 95.6 | 95.5141875044392 | -5.37448289366277 | 0.0858124955608021 | 0.169595814827971 |
19 | 89.5 | 89.4139847060613 | -5.69119430135892 | 0.086015293938747 | -0.146110489626483 |
20 | 87.7 | 87.6145976039771 | -3.99266015296568 | 0.0854023960228708 | 0.783657362076313 |
21 | 88.2 | 88.1149963563439 | -2.03161725172513 | 0.0850036436560621 | 0.90479440060958 |
22 | 88.7 | 88.6151229739679 | -0.926574488919616 | 0.0848770260320904 | 0.509853432100263 |
23 | 91.4 | 91.315225183108 | 0.65641069458144 | 0.0847748168920425 | 0.730372157136665 |
24 | 95.7 | 95.6152830486152 | 2.24682185803587 | 0.0847169513848283 | 0.733799011834588 |
25 | 96.8 | 97.7496190816659 | 2.19841923133305 | -0.949619081665916 | -0.0241977539428367 |
26 | 93.8 | 93.7984754432179 | -0.328763823923405 | 0.00152455678206713 | -1.09858470442761 |
27 | 91 | 90.9940296049081 | -1.41318130843316 | 0.00597039509185428 | -0.496667869640587 |
28 | 86.8 | 86.7912081126492 | -2.63166593360104 | 0.00879188735079182 | -0.560883601240605 |
29 | 91.5 | 91.4953892081869 | 0.570286314377252 | 0.0046107918131171 | 1.47625167274855 |
30 | 89.3 | 89.2944990806568 | -0.639136912831987 | 0.00550091934317543 | -0.557883902879592 |
31 | 97.9 | 97.8961718580003 | 3.39392331423661 | 0.00382814199971486 | 1.86067310039407 |
32 | 95.7 | 95.6956011489162 | 0.952158525736878 | 0.00439885108375714 | -1.12657828705229 |
33 | 86.9 | 86.8950404954603 | -3.30463900771774 | 0.00495950453969375 | -1.96402760062763 |
34 | 82 | 81.9949888122546 | -4.00100827952587 | 0.00501118774537626 | -0.321296820368189 |
35 | 83.2 | 83.1950837579192 | -1.73078975390916 | 0.00491624208079016 | 1.0474545847544 |
36 | 85.7 | 85.6951272796625 | 0.115931721353522 | 0.00487272033751208 | 0.852058010489893 |
37 | 77.8 | 78.5943953640105 | -3.00499484997968 | -0.794395364010496 | -1.51898039264716 |
38 | 79.4 | 79.2902330938294 | -1.45914586738184 | 0.109766906170631 | 0.684633115776445 |
39 | 83.4 | 83.2974928792266 | 0.933110167260973 | 0.10250712077337 | 1.09776792426153 |
40 | 102.8 | 102.711318026123 | 9.00387383886214 | 0.0886819738771911 | 3.71733539541066 |
41 | 108.7 | 108.610009012303 | 7.64851046343682 | 0.0899909876973572 | -0.625007523513729 |
42 | 120.3 | 120.210947991664 | 9.37353498484777 | 0.0890520083360022 | 0.79576979935185 |
43 | 121.9 | 121.809907118883 | 5.98028573725389 | 0.0900928811172826 | -1.56552351985895 |
44 | 112.7 | 112.608761732321 | -0.645926274023385 | 0.0912382676792284 | -3.05721206528552 |
45 | 113.1 | 113.008806202529 | -0.18938221093449 | 0.0911937974712242 | 0.210643540288397 |
46 | 115.7 | 115.608873032764 | 1.02817243330608 | 0.091126967236084 | 0.56176614297116 |
47 | 113.5 | 113.40882944959 | -0.380911233063526 | 0.0911705504100079 | -0.650136285302349 |
48 | 103.1 | 103.008753226313 | -4.75420005751946 | 0.0912467736867718 | -2.01778993714595 |
49 | 95.9 | 96.9992469465751 | -5.29838100961228 | -1.0992469465751 | -0.261339832045585 |
50 | 88.5 | 88.4263476600077 | -6.67901970980446 | 0.0736523399923543 | -0.617476020986335 |
51 | 86.2 | 86.1309664585227 | -4.76164005330731 | 0.0690335414773148 | 0.880845675426067 |
52 | 83.8 | 83.7323690394473 | -3.72977522181329 | 0.0676309605527155 | 0.475439289511135 |
53 | 76.4 | 76.3311410388602 | -5.33231511908649 | 0.0688589611398459 | -0.739073455874701 |
54 | 76 | 75.9320709051413 | -3.1791666399046 | 0.0679290948586814 | 0.99330311824934 |
55 | 75.7 | 75.6323767654644 | -1.92238326790762 | 0.0676232345355793 | 0.579841409454633 |
56 | 71.5 | 71.4322404230724 | -2.91656296316384 | 0.0677595769276244 | -0.458697848803749 |
57 | 69.7 | 69.6322780873561 | -2.42918657640342 | 0.0677219126438736 | 0.224869435888582 |
58 | 72.1 | 72.0323698820214 | -0.32126570084123 | 0.067630117978556 | 0.972571554861737 |
59 | 72.6 | 72.5323786788138 | 0.037213287422581 | 0.0676213211862349 | 0.165398429096026 |
60 | 70.2 | 70.1323639681774 | -1.02661972144979 | 0.0676360318226069 | -0.490841493784291 |
61 | 69.4 | 70.0847977217866 | -0.601593858156112 | -0.684797721786567 | 0.202486740569827 |
62 | 68 | 67.9479365865702 | -1.2528556796831 | 0.0520634134297711 | -0.293028349964671 |
63 | 63.1 | 63.0447491448565 | -2.84892899189315 | 0.0552508551434875 | -0.733780075446004 |
64 | 59.4 | 59.3443302729733 | -3.22072216289711 | 0.0556697270266678 | -0.17134667003916 |
65 | 59.3 | 59.2451956000565 | -1.85818626793987 | 0.0548043999434662 | 0.628433158050689 |
66 | 61.2 | 61.1457827824268 | -0.217618958147732 | 0.054217217573248 | 0.756854079295651 |
67 | 59.8 | 59.7456786848441 | -0.733736628787317 | 0.0543213151558563 | -0.238122698223196 |
68 | 61.3 | 61.2457895026774 | 0.241287723643142 | 0.054210497322579 | 0.449860968659552 |
69 | 60.2 | 60.145752005718 | -0.344180027577637 | 0.0542479942819853 | -0.270127782815867 |
70 | 59.7 | 59.6457495510416 | -0.412194818580174 | 0.0542504489583853 | -0.0313812855734852 |
71 | 60.7 | 60.6457620871562 | 0.204222184327295 | 0.0542379128438227 | 0.284408333765613 |
72 | 59.8 | 59.7457565635579 | -0.277765992221112 | 0.0542434364420591 | -0.22238434071184 |