| Structural Time Series Model -- Interpolation | |||||
| t | Observed | Level | Slope | Seasonal | Stand. Residuals |
| 1 | 4998 | 4998 | 0 | 0 | 0 |
| 2 | 4480 | 4727.3923408742 | -18.4019324121399 | -97.8429992993853 | -3.3722894094939 |
| 3 | 4824 | 4749.10352990152 | -15.7484476270754 | 53.5466027629475 | 0.507891430991537 |
| 4 | 4814 | 4780.13153810052 | -13.5340238908183 | 4.16261624918276 | 0.672382724906428 |
| 5 | 4602 | 4704.73767629025 | -15.6563127408127 | -60.4081091607256 | -0.935756315092027 |
| 6 | 4499 | 4606.86912175352 | -17.9202039942063 | -50.0654671425261 | -1.26615652946782 |
| 7 | 4594 | 4590.29809921933 | -17.8873900792854 | 2.74358082376228 | 0.0209149671308765 |
| 8 | 4600 | 4592.21732186929 | -17.435717431907 | -6.34214489749418 | 0.30779755517719 |
| 9 | 4507 | 4555.01502227398 | -17.8714749590365 | -33.8962129891561 | -0.307455929543582 |
| 10 | 4606 | 4572.59155745894 | -17.1052470832173 | 8.07261787411259 | 0.551534818998117 |
| 11 | 4503 | 4543.87846037047 | -17.3528288269676 | -32.5799342832193 | -0.180615374518146 |
| 12 | 4801 | 4651.79075052804 | -14.7089953376827 | 59.649159733001 | 1.94899588771539 |
| 13 | 4564 | 4560.01765009145 | -9.94233983124667 | 63.966537770068 | -1.46032982336277 |
| 14 | 4142 | 4412.72091933338 | -12.6689203843102 | -185.768613903925 | -1.99216747750919 |
| 15 | 4818 | 4544.37197696887 | -7.77808194721282 | 190.866579310524 | 2.00805139695843 |
| 16 | 4408 | 4484.21714185672 | -9.370683122781 | -44.2441541283462 | -0.767975104227716 |
| 17 | 4496 | 4488.80912771705 | -9.02971295936013 | -1.75088412095601 | 0.212072346432956 |
| 18 | 4587 | 4541.43532714502 | -7.78902946966269 | 5.20355215537729 | 0.950777982185022 |
| 19 | 4656 | 4587.64734250139 | -6.82979163453367 | 32.690351035607 | 0.837552421187189 |
| 20 | 4799 | 4672.06147174387 | -5.30829794634268 | 66.4818503238033 | 1.41810546027547 |
| 21 | 4652 | 4686.29850287354 | -4.99069216952929 | -47.2634172435815 | 0.303972134709969 |
| 22 | 4638 | 4660.17472557986 | -5.32880797340796 | -8.15061182337066 | -0.328718563406201 |
| 23 | 4650 | 4674.68226298234 | -5.03005282527424 | -37.8574639995075 | 0.308538280182276 |
| 24 | 5185 | 4841.02524288126 | -3.26634034895756 | 229.626017999559 | 2.67001045743291 |
| 25 | 5208 | 4964.75353332506 | -4.80080913283692 | 155.125919326583 | 2.10263948337107 |
| 26 | 4477 | 4883.06276904101 | -5.76213729836637 | -356.880561134483 | -1.17035362538857 |
| 27 | 4976 | 4823.09042846157 | -7.04593401168794 | 185.536751076528 | -0.791454353728875 |
| 28 | 4670 | 4772.02437699692 | -8.12701430969474 | -75.1345758648307 | -0.653577868841304 |
| 29 | 4842 | 4802.20064935254 | -7.2872016709131 | 15.7382553775471 | 0.581552437693761 |
| 30 | 4713 | 4776.1118496738 | -7.64691287309199 | -51.0905969340473 | -0.289169483176817 |
| 31 | 4804 | 4782.94717800463 | -7.39772175055562 | 11.7139982362507 | 0.224039460450059 |
| 32 | 4996 | 4840.56292190699 | -6.34908523452922 | 113.35936876509 | 1.00812252794637 |
| 33 | 4574 | 4756.59225880767 | -7.5549825421258 | -132.278595794569 | -1.2046379674309 |
| 34 | 4841 | 4791.5913104948 | -6.92113922683866 | 21.8039017729983 | 0.66049445219246 |
| 35 | 4688 | 4799.34970787556 | -6.72508469197637 | -120.88260414839 | 0.227804266264539 |
| 36 | 4766 | 4710.38893364378 | -7.50408242947776 | 109.221545906391 | -1.27948514529948 |
| 37 | 4994 | 4728.33230146902 | -7.44092128943118 | 248.802215716553 | 0.404181403128932 |
| 38 | 4514 | 4771.10354125938 | -6.83018799634991 | -289.238804374123 | 0.770977730515545 |
| 39 | 4766 | 4689.68969457941 | -8.2704596036893 | 122.288438635867 | -1.11429204832513 |
| 40 | 4642 | 4693.86447598739 | -8.00637721143149 | -59.5335355716646 | 0.186603627292572 |
| 41 | 4806 | 4726.52093916541 | -7.17941538939606 | 54.0384366328925 | 0.617873206759664 |
| 42 | 4645 | 4719.32742242495 | -7.17967903842355 | -74.3184838438041 | -0.000216449146859064 |
| 43 | 4784 | 4744.17870122435 | -6.62683371144219 | 19.3626150702126 | 0.494334088964439 |
| 44 | 4979 | 4781.00908664462 | -5.92097680027835 | 170.129499017847 | 0.672314829334636 |
| 45 | 4530 | 4742.95305673703 | -6.41833974143003 | -192.314838182105 | -0.497582045941296 |
| 46 | 4942 | 4804.78053148142 | -5.42197457919618 | 93.3538338477962 | 1.05670712098357 |
| 47 | 4651 | 4784.01963277003 | -5.62345532153844 | -123.152768874263 | -0.237460095146315 |
| 48 | 5150 | 4886.47903564884 | -4.46115724044972 | 193.818751116535 | 1.67677565449229 |
| 49 | 4987 | 4843.66184092326 | -4.79017814999336 | 168.224118209763 | -0.599131417886678 |
| 50 | 4532 | 4817.68794657046 | -5.06662902153393 | -272.178262154609 | -0.325615681119011 |
| 51 | 5046 | 4859.12832910003 | -4.25698645954704 | 157.867190438999 | 0.70292362491876 |
| 52 | 4783 | 4861.65435263234 | -4.12657869136794 | -82.8664478729068 | 0.102436981377268 |
| 53 | 4958 | 4878.30780752809 | -3.72866538940099 | 66.6863458097177 | 0.31624703684004 |
| 54 | 4815 | 4889.11395873645 | -3.46329722283497 | -83.2949719671344 | 0.222870330399443 |
| 55 | 5055 | 4952.15537967729 | -2.31667857971174 | 60.5710022847942 | 1.02451713598543 |
| 56 | 5152 | 4967.16931366878 | -2.0332595973752 | 173.77638017264 | 0.267580826954993 |
| 57 | 4773 | 4979.17512802479 | -1.81481785801676 | -215.14447942806 | 0.216916739881982 |
| 58 | 5147 | 5011.24192293884 | -1.31747810529082 | 114.097737114466 | 0.523435191447461 |
| 59 | 4866 | 5021.75793768722 | -1.15740345478134 | -163.326679700455 | 0.182792204834471 |
| 60 | 5311 | 5053.95566871652 | -0.751007529462221 | 235.677861245323 | 0.515956895853735 |
| 61 | 5172 | 5037.70477178643 | -0.930785142547891 | 144.242402292285 | -0.240243310788691 |
| 62 | 4734 | 5032.60273004638 | -0.988932486281077 | -295.951021529341 | -0.0640944969975715 |
| 63 | 5011 | 4962.80703495296 | -2.13120666699863 | 91.3470845935159 | -1.04633406964239 |
| 64 | 4957 | 4989.7411600596 | -1.60692042548432 | -50.8876815510366 | 0.441135207401428 |
| 65 | 4968 | 4961.9106173132 | -2.08604724340417 | 22.5264336369758 | -0.39976753968185 |
| 66 | 5049 | 5036.9892664251 | -0.711140798625499 | -36.6612724217877 | 1.18272212322267 |
| 67 | 5305 | 5129.95218667604 | 0.892540740226754 | 115.668530996394 | 1.44119849920867 |
| 68 | 5067 | 5052.1220437986 | -0.398131357425926 | 64.9256027342968 | -1.21345743485715 |
| 69 | 5001 | 5115.80407811778 | 0.606610355566644 | -155.597540490978 | 0.988278002693228 |
| 70 | 5252 | 5135.052841094 | 0.884703016344468 | 105.07438123976 | 0.287457673468632 |
| 71 | 4903 | 5115.49380930187 | 0.596845952642823 | -199.469849944624 | -0.315217605305825 |
| 72 | 5408 | 5132.57239691604 | 0.816704960123604 | 264.91855888887 | 0.254343714993366 |
| 73 | 5395 | 5177.48331016939 | 1.40201063308863 | 189.39303243316 | 0.680695708896339 |
| 74 | 5150 | 5279.24418920011 | 2.86935978784855 | -192.893506689041 | 1.54135036600909 |
| 75 | 5460 | 5332.91351713119 | 3.69606676628105 | 95.1374689286257 | 0.775115230576365 |
| 76 | 4968 | 5217.85347877883 | 1.63808301215792 | -175.446349034309 | -1.8085091730037 |
| 77 | 5021 | 5137.2671518551 | 0.187784841999904 | -64.6504216014213 | -1.25536085991953 |
| 78 | 5118 | 5147.91236684971 | 0.370009397519262 | -36.505015788327 | 0.160271209837317 |
| 79 | 5175 | 5104.03301262688 | -0.380187927221022 | 98.9684386143709 | -0.680163943516852 |
| 80 | 5420 | 5208.85590474799 | 1.34412429344472 | 144.415151831843 | 1.61952083953923 |
| 81 | 5121 | 5249.4194605002 | 1.96372599978839 | -153.32150014136 | 0.6039711585099 |
| 82 | 5450 | 5291.70901640288 | 2.57626200579445 | 132.679524613337 | 0.620893933730694 |
| 83 | 5286 | 5381.48126379463 | 3.84950738662189 | -150.870292602011 | 1.3425167587473 |
| 84 | 5693 | 5424.88081536057 | 4.41079378247803 | 242.983520047715 | 0.609243327396628 |
| 85 | 5353 | 5346.67086592694 | 3.23111902615301 | 58.8279316429172 | -1.27251768766413 |
| 86 | 5017 | 5287.01784993723 | 2.28125350320421 | -230.201779734386 | -0.965431297281687 |
| 87 | 5577 | 5333.89256503583 | 3.00156680671946 | 215.022955498093 | 0.681742953964713 |
| 88 | 4987 | 5258.12887661341 | 1.67025239406728 | -221.66526526844 | -1.20223877877698 |
| 89 | 5129 | 5226.69683575335 | 1.10118779009737 | -76.8905378588375 | -0.506004096779152 |
| 90 | 5249 | 5245.67463389207 | 1.40692476643759 | -7.94308416473914 | 0.27399764767421 |
| 91 | 5100 | 5172.5401719702 | 0.15558937675007 | -25.4215735595593 | -1.14504816664268 |
| 92 | 5382 | 5201.0890983973 | 0.620211311195378 | 162.93094274766 | 0.4366572879555 |
| 93 | 5039 | 5212.34818430981 | 0.789370063371464 | -180.090304081531 | 0.16365172480814 |
| 94 | 5364 | 5236.47397556854 | 1.14959599195551 | 112.734864439067 | 0.358909462043545 |
| 95 | 5193 | 5283.19708202447 | 1.83455619608473 | -119.085702954031 | 0.700908333849585 |
| 96 | 5846 | 5398.10603471378 | 3.50787551830239 | 376.196041116472 | 1.73959862677537 |
| 97 | 5259 | 5324.54151503691 | 2.35861231798003 | -16.6859267081061 | -1.18540567658231 |
| 98 | 4809 | 5208.82897521911 | 0.535536336239876 | -325.157340969137 | -1.81219957862899 |
| 99 | 5297 | 5131.52959526343 | -0.718983946126695 | 214.524308673143 | -1.1913343368005 |
| 100 | 5034 | 5165.47635805951 | -0.142114425455614 | -153.277982908968 | 0.529939573103396 |
| 101 | 5243 | 5228.59038438005 | 0.925562653710233 | -25.3879666916167 | 0.967841231013479 |
| 102 | 5150 | 5197.0575246127 | 0.378605737576117 | -26.5969470291107 | -0.497556060230099 |
| 103 | 5296 | 5249.35680370498 | 1.2426134000157 | 13.8474169403736 | 0.797204299574909 |
| 104 | 5596 | 5332.12464645821 | 2.5739682304151 | 212.310835271149 | 1.25283028828908 |
| 105 | 4954 | 5272.27948661828 | 1.57649680565826 | -278.778252004578 | -0.959355403915016 |
| 106 | 5250 | 5225.73927666166 | 0.824097745349242 | 54.713285776201 | -0.739424641624057 |
| 107 | 5009 | 5194.93096307303 | 0.338310516179853 | -165.909827962192 | -0.486107787741167 |
| 108 | 5113 | 4991.03513100067 | -2.77080529758732 | 251.254798901473 | -3.13918273850012 |
| 109 | 5237 | 5048.60081195335 | -1.84622278552211 | 150.213376138541 | 0.92717396107059 |
| 110 | 4575 | 4984.04711148354 | -2.82891576851837 | -369.421532048865 | -0.962274588666601 |
| 111 | 5026 | 4916.77474659534 | -3.86747087936761 | 149.853880916667 | -0.987085850580714 |
| 112 | 4842 | 4948.69836008864 | -3.27769946589008 | -129.229006750221 | 0.547715126824065 |
| 113 | 5019 | 4986.15391859264 | -2.59901040809232 | 7.200753125272 | 0.623666412206491 |
| 114 | 5063 | 5040.9406403507 | -1.64287462270196 | -14.1172345432885 | 0.879777949385953 |
| 115 | 5261 | 5135.88390867069 | -0.0470847686250819 | 64.1373667717657 | 1.48253856952027 |
| 116 | 5327 | 5122.84608019713 | -0.258813284566959 | 212.363561752902 | -0.199524651402667 |
| 117 | 5054 | 5191.14726354169 | 0.840899199603979 | -180.490818216649 | 1.05309945865328 |
| 118 | 5269 | 5192.24968721653 | 0.845028918828257 | 76.5849713990098 | 0.00401659732071801 |
| 119 | 5019 | 5157.97649532256 | 0.297235757635983 | -116.773104167291 | -0.539364336360554 |
| 120 | 5315 | 5123.53677384538 | -0.241832478477185 | 213.428246946438 | -0.533582258363616 |
| 121 | 5274 | 5107.17081896382 | -0.493328985366796 | 177.022788257336 | -0.247629557397434 |
| 122 | 4899 | 5161.22969375845 | 0.370188004108399 | -296.68192210535 | 0.837016534588807 |
| 123 | 5216 | 5139.42882942872 | 0.0126825730815097 | 90.5515002916175 | -0.339753937016202 |
| 124 | 5029 | 5156.61976712027 | 0.293977337077048 | -138.440185166048 | 0.26306806030267 |
| 125 | 5110 | 5152.24056481592 | 0.216814548177761 | -39.2968916519279 | -0.0715872975274651 |
| 126 | 5093 | 5150.78363425134 | 0.189160548114827 | -56.7283998874426 | -0.0256629371872029 |
| Structural Time Series Model -- Extrapolation | |||
| t | Observed | Level | Seasonal |
| 1 | 5278.5352526246 | 5178.67605334043 | 99.8591992841687 |
| 2 | 5374.14988067592 | 5181.81776552336 | 192.332115152562 |
| 3 | 5058.77296628362 | 5184.95947770628 | -126.18651142266 |
| 4 | 5311.87499140072 | 5188.10118988921 | 123.773801511514 |
| 5 | 5098.99233328238 | 5191.24290207213 | -92.2505687897542 |
| 6 | 5391.75002318801 | 5194.38461425506 | 197.365408932955 |
| 7 | 5346.93484197102 | 5197.52632643798 | 149.40851553304 |
| 8 | 4912.23568705449 | 5200.66803862091 | -288.43235156642 |
| 9 | 5243.25065766509 | 5203.80975080383 | 39.4409068612572 |
| 10 | 5052.38704612537 | 5206.95146298676 | -154.564416861381 |
| 11 | 5147.5538475288 | 5210.09317516968 | -62.5393276408805 |
| 12 | 5135.0281163582 | 5213.2348873526 | -78.2067709944002 |
