| Structural Time Series Model -- Interpolation | |||||
| t | Observed | Level | Slope | Seasonal | Stand. Residuals |
| 1 | 1932.8 | 1932.8 | 0 | 0 | 0 |
| 2 | 1861.4 | 1873.87410703104 | -15.196875715239 | -12.4741070310398 | -0.206208873238619 |
| 3 | 2170.2 | 2036.73849997256 | 20.7620716497043 | 133.461500027441 | 2.21432134313713 |
| 4 | 1999.6 | 2034.52248278214 | 18.0116257137511 | -34.9224827821375 | -0.366443002212689 |
| 5 | 2225.5 | 2146.68372625678 | 16.0801679091052 | 78.8162737432163 | 1.59012001618031 |
| 6 | 2195.7 | 2250.9705466497 | 20.4968938406073 | -55.2705466496995 | 1.3480125253531 |
| 7 | 2713.1 | 2452.71992505296 | 35.6995804547597 | 260.380074947038 | 2.6579221146377 |
| 8 | 2412 | 2515.00850338696 | 37.5103594943403 | -103.008503386962 | 0.409586349613737 |
| 9 | 2568.3 | 2559.95552076377 | 37.7992998069775 | 8.34447923623424 | 0.117720011013487 |
| 10 | 2623.7 | 2690.52152169231 | 41.6430102087934 | -66.8215216923108 | 1.45206439714328 |
| 11 | 3185.5 | 2855.26245997682 | 47.8837014961778 | 330.237540023177 | 1.90206431995916 |
| 12 | 2722.6 | 2887.78108416091 | 47.1351278684896 | -165.181084160906 | -0.239182387564298 |
| 13 | 3046.3 | 3019.51978908448 | 50.6059398876067 | 26.7802109155197 | 1.32961940124348 |
| 14 | 2854.2 | 3033.63771790569 | 49.1995225391334 | -179.43771790569 | -0.573870369893391 |
| 15 | 3337.6 | 3040.36764644659 | 47.5214033724018 | 297.232353553414 | -0.666536609386609 |
| 16 | 2920.3 | 3098.79357449564 | 47.9447317306224 | -178.493574495635 | 0.171406311618141 |
| 17 | 3058.3 | 3075.36141196108 | 45.3522782114013 | -17.0614119610816 | -1.1256305003476 |
| 18 | 2933.7 | 3096.49445039454 | 44.5164760147503 | -162.794450394536 | -0.382567108863067 |
| 19 | 3773.4 | 3310.79555158307 | 50.2520526268053 | 462.604448416934 | 2.68309318905705 |
| 20 | 3193.5 | 3371.98575484946 | 50.6130510279379 | -178.485754849461 | 0.173012656018432 |
| 21 | 3472.2 | 3466.26428265711 | 52.0012517687128 | 5.93571734288837 | 0.691679773075483 |
| 22 | 3345.5 | 3562.7439455177 | 53.3636571785218 | -217.243945517703 | 0.705409118866001 |
| 23 | 4028.4 | 3602.41112131719 | 52.9559194346617 | 425.988878682806 | -0.217399098571404 |
| 24 | 3463.1 | 3660.4845500909 | 53.1043525928019 | -197.3845500909 | 0.08129339221388 |
| 25 | 3675.4 | 3701.2809241549 | 52.7575419367722 | -25.8809241549018 | -0.195694964536315 |
| 26 | 3500.8 | 3730.34339421873 | 52.109313692221 | -229.543394218734 | -0.377076453836449 |
| 27 | 4142.1 | 3744.53506975439 | 51.099716723523 | 397.564930245607 | -0.603862388447634 |
| 28 | 3598 | 3784.95705172127 | 50.8225349049851 | -186.957051721269 | -0.170167622052963 |
| 29 | 3765.3 | 3801.99002769066 | 49.9674287139259 | -36.6900276906622 | -0.538866112582474 |
| 30 | 3557.7 | 3802.78580045768 | 48.7542941822104 | -245.085800457677 | -0.784701269869758 |
| 31 | 4303.6 | 3867.40509358361 | 49.1362189972544 | 436.194906416392 | 0.253337821681431 |
| 32 | 3620.1 | 3849.40709618593 | 47.5577441396116 | -229.307096185929 | -1.07264911843118 |
| 33 | 3691.1 | 3787.52076585759 | 45.0432915260592 | -96.4207658575897 | -1.74964748656701 |
| 34 | 3678.1 | 3862.28690086587 | 45.7107733569848 | -184.18690086587 | 0.475427520068479 |
| 35 | 4505.8 | 3971.49235230116 | 47.1052446203091 | 534.307647698839 | 1.01614456860549 |
| 36 | 3695 | 3953.83479360187 | 45.7134426812647 | -258.834793601868 | -1.03694804496473 |
| 37 | 3894.1 | 3997.54604584453 | 45.6713175354518 | -103.446045844527 | -0.0320731125460532 |
| 38 | 3718.9 | 3980.59739477474 | 44.3809845172579 | -261.697394774738 | -1.00356398198953 |
| 39 | 4749.8 | 4098.64882024919 | 45.8683368512365 | 651.151179750811 | 1.18117408425554 |
| 40 | 3855.9 | 4134.61790247523 | 45.6724329573603 | -278.717902475234 | -0.158782877267804 |
| 41 | 4011.7 | 4134.95660739204 | 44.7926879203944 | -123.256607392042 | -0.727438046080029 |
| 42 | 3907.6 | 4185.13424064375 | 44.8951988047758 | -277.534240643752 | 0.0864415920254453 |
| 43 | 4812.5 | 4189.00789262836 | 44.1288822780966 | 623.492107371643 | -0.658740101082253 |
| 44 | 4071.3 | 4276.98623908584 | 44.9330037367162 | -205.686239085841 | 0.704402578719834 |
| 45 | 4163.4 | 4308.26057746706 | 44.6870378386692 | -144.86057746706 | -0.219489537883746 |
| 46 | 4077.6 | 4345.22260901581 | 44.5503862101317 | -267.622609015813 | -0.124178959731707 |
| 47 | 5109.2 | 4448.47281904039 | 45.5707073133923 | 660.727180959612 | 0.943896903010377 |
| 48 | 4207.6 | 4456.79401724257 | 44.9342984860365 | -249.19401724257 | -0.599159023321117 |
| 49 | 4320.8 | 4480.01683902122 | 44.5695882146307 | -159.21683902122 | -0.349333427128358 |
| 50 | 4396.9 | 4605.92437756434 | 45.9133348433972 | -209.024377564341 | 1.30908825324124 |
| 51 | 5358.8 | 4677.14932687447 | 46.3247002425086 | 681.650673125535 | 0.407489452883644 |
| Structural Time Series Model -- Extrapolation | |||
| t | Observed | Level | Seasonal |
| 1 | 4481.58259144177 | 4736.41014237497 | -254.827550933192 |
| 2 | 4591.38840331982 | 4791.82698190936 | -200.438578589535 |
| 3 | 4625.16851954706 | 4847.24382144375 | -222.075301896687 |
| 4 | 5580.00209239756 | 4902.66066097814 | 677.341431419415 |
| 5 | 4703.24994957934 | 4958.07750051253 | -254.827550933192 |
| 6 | 4813.05576145739 | 5013.49434004692 | -200.438578589535 |
| 7 | 4846.83587768463 | 5068.91117958131 | -222.075301896687 |
| 8 | 5801.66945053512 | 5124.32801911571 | 677.341431419415 |
| 9 | 4924.9173077169 | 5179.7448586501 | -254.827550933192 |
| 10 | 5034.72311959495 | 5235.16169818449 | -200.438578589535 |
| 11 | 5068.50323582219 | 5290.57853771888 | -222.075301896687 |
| 12 | 6023.33680867269 | 5345.99537725327 | 677.341431419415 |
