| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.500918719430804 |
| beta | 0.0370687846507679 |
| gamma | 0.904759859508393 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 5635.55 | 5578.99647435897 | 56.5535256410267 |
| 14 | 5652.6 | 5626.222537145 | 26.3774628550009 |
| 15 | 5675.7 | 5666.08305042049 | 9.61694957950931 |
| 16 | 5692.25 | 5689.73898067853 | 2.51101932146685 |
| 17 | 5747.05 | 5747.48412651673 | -0.43412651673134 |
| 18 | 5854.15 | 5855.99384928407 | -1.84384928407508 |
| 19 | 5894.8 | 5886.92359477491 | 7.876405225089 |
| 20 | 5839.4 | 5875.94781699562 | -36.5478169956232 |
| 21 | 5778.15 | 5791.35714513205 | -13.2071451320498 |
| 22 | 5797.75 | 5777.70051653959 | 20.0494834604078 |
| 23 | 5790.7 | 5791.51879354809 | -0.818793548085523 |
| 24 | 5786.3 | 5773.22480623522 | 13.0751937647774 |
| 25 | 5758.6 | 5768.00336815462 | -9.40336815462433 |
| 26 | 5764.75 | 5768.88475795723 | -4.13475795723025 |
| 27 | 5804.75 | 5785.64670792698 | 19.1032920730195 |
| 28 | 5801.35 | 5810.77576514835 | -9.42576514834946 |
| 29 | 5829.75 | 5860.91994189626 | -31.1699418962562 |
| 30 | 5913.7 | 5952.53451099548 | -38.8345109954798 |
| 31 | 5962 | 5967.77480089346 | -5.7748008934559 |
| 32 | 5920.25 | 5928.09838743365 | -7.84838743364617 |
| 33 | 5879.1 | 5867.15336041014 | 11.9466395898626 |
| 34 | 5902.3 | 5880.3109009943 | 21.9890990056956 |
| 35 | 5889.95 | 5884.91091966887 | 5.03908033113294 |
| 36 | 5873.9 | 5875.16703018277 | -1.26703018277385 |
| 37 | 5856.1 | 5851.68679229217 | 4.41320770782659 |
| 38 | 5870.8 | 5861.20040435448 | 9.59959564552446 |
| 39 | 5900.1 | 5894.92249291068 | 5.1775070893209 |
| 40 | 5900.6 | 5899.52225683904 | 1.07774316095583 |
| 41 | 5944.3 | 5944.63296847667 | -0.332968476673159 |
| 42 | 6066.2 | 6048.32970917302 | 17.8702908269834 |
| 43 | 6098.75 | 6108.05176602809 | -9.30176602809388 |
| 44 | 6058.4 | 6066.75601493106 | -8.35601493105969 |
| 45 | 5998 | 6015.56941138691 | -17.5694113869085 |
| 46 | 6022.4 | 6019.00268653112 | 3.39731346887675 |
| 47 | 6018.7 | 6006.81696957282 | 11.8830304271842 |
| 48 | 5989.95 | 5997.96190509902 | -8.01190509902517 |
| 49 | 5972.55 | 5973.85077368808 | -1.30077368808361 |
| 50 | 5985.35 | 5982.92078901609 | 2.42921098390616 |
| 51 | 6004.45 | 6010.99790310438 | -6.54790310437875 |
| 52 | 6004.1 | 6007.59881760691 | -3.49881760691369 |
| 53 | 6071.05 | 6049.42093077833 | 21.629069221668 |
| 54 | 6143.55 | 6172.38721798826 | -28.8372179882645 |
| 55 | 6191.25 | 6195.62450865321 | -4.37450865320534 |
| 56 | 6167.5 | 6156.496863736 | 11.0031362639957 |
| 57 | 6081.35 | 6110.47969157301 | -29.1296915730072 |
| 58 | 6124.25 | 6117.00741448682 | 7.24258551318235 |
| 59 | 6118.3 | 6110.06869252126 | 8.23130747874166 |
| 60 | 6097.8 | 6089.82218408246 | 7.97781591753574 |
| 61 | 6074.55 | 6076.46921515546 | -1.91921515546255 |
| 62 | 6083.9 | 6086.62043702336 | -2.72043702336487 |
| 63 | 6084.65 | 6107.67549645811 | -23.0254964581118 |
| 64 | 6099.8 | 6096.70442799337 | 3.09557200662948 |
| 65 | 6124.45 | 6152.60384818551 | -28.1538481855114 |
| 66 | 6235.65 | 6226.34815074133 | 9.30184925866524 |
| 67 | 6278.05 | 6278.94749968549 | -0.897499685491312 |
| 68 | 6254.4 | 6247.78125275043 | 6.61874724956942 |
| 69 | 6177.3 | 6180.6404635351 | -3.34046353509621 |
| 70 | 6205.95 | 6216.18374633661 | -10.2337463366093 |
| 71 | 6217.2 | 6200.2861483979 | 16.9138516020985 |
| 72 | 6190.8 | 6183.78453609576 | 7.01546390423664 |
| 73 | 6189.55 | 6164.9727570806 | 24.5772429193958 |
| 74 | 6179.5 | 6188.01899986093 | -8.51899986092849 |
| 75 | 6195.35 | 6196.8772966958 | -1.52729669579912 |
| 76 | 6213 | 6208.74577133506 | 4.25422866493591 |
| 77 | 6243.45 | 6251.4122210974 | -7.96222109740029 |
| 78 | 6361.75 | 6352.85615876886 | 8.89384123113814 |
| 79 | 6395.2 | 6401.31024922203 | -6.11024922203433 |
| 80 | 6356.6 | 6371.49462061625 | -14.89462061625 |
| 81 | 6276.5 | 6289.24867463766 | -12.748674637658 |
| 82 | 6306.25 | 6316.96022024391 | -10.7102202439128 |
| 83 | 6318.4 | 6313.06722784843 | 5.33277215156977 |
| 84 | 6284.9 | 6286.06460662925 | -1.16460662925147 |
| 85 | 6249.5 | 6270.70315934926 | -21.203159349262 |
| 86 | 6256 | 6254.64038845955 | 1.35961154045344 |
| 87 | 6272.9 | 6270.55540421004 | 2.34459578996302 |
| 88 | 6273.65 | 6285.99716062696 | -12.3471606269604 |
| 89 | 6313.95 | 6313.54621760358 | 0.403782396419047 |
| 90 | 6396.85 | 6425.66239592356 | -28.8123959235554 |
| 91 | 6426.35 | 6446.62372206279 | -20.2737220627914 |
| 92 | 6382.6 | 6403.65385289739 | -21.0538528973939 |
| 93 | 6319 | 6317.08434360698 | 1.91565639302189 |
| 94 | 6329.5 | 6351.12699475338 | -21.6269947533783 |
| 95 | 6321.8 | 6346.87207676683 | -25.0720767668345 |
| 96 | 6312.35 | 6299.00294230761 | 13.3470576923919 |
| 97 | 6260 | 6279.4294635529 | -19.4294635529004 |
| 98 | 6283.6 | 6272.0434817751 | 11.5565182248984 |
| 99 | 6295.15 | 6291.30054967526 | 3.84945032474025 |
| 100 | 6309.15 | 6298.67947740938 | 10.4705225906191 |
| 101 | 6315.75 | 6341.65710503362 | -25.9071050336242 |
| 102 | 6427.95 | 6425.15368148098 | 2.79631851901649 |
| 103 | 6446.55 | 6464.1434980941 | -17.5934980941029 |
| 104 | 6385.65 | 6420.55317036678 | -34.9031703667797 |
| 105 | 6351.45 | 6335.5502047959 | 15.8997952041027 |
| 106 | 6359.1 | 6364.35885668386 | -5.25885668386218 |
| 107 | 6350.05 | 6365.44309161928 | -15.3930916192749 |
| 108 | 6335.6 | 6338.64584481372 | -3.04584481372331 |
| 109 | 6333.55 | 6294.63165993555 | 38.9183400644542 |
| 110 | 6348.55 | 6330.11929494169 | 18.4307050583147 |
| 111 | 6369.1 | 6349.12172776299 | 19.9782722370101 |
| 112 | 6372.75 | 6367.65118076248 | 5.09881923752073 |
| 113 | 6413.95 | 6391.49356643737 | 22.456433562631 |
| 114 | 6528.6 | 6513.05719003738 | 15.5428099626233 |
| 115 | 6558.4 | 6550.34150148708 | 8.05849851291714 |
| 116 | 6501.95 | 6513.3774306864 | -11.4274306864036 |
| 117 | 6430.5 | 6465.10267596875 | -34.6026759687475 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 118 | 6460.1505400647 | 6427.93655168606 | 6492.36452844334 |
| 119 | 6460.48159020506 | 6424.18017116108 | 6496.78300924903 |
| 120 | 6448.44489647721 | 6408.21775329604 | 6488.67203965838 |
| 121 | 6426.43634438971 | 6382.39378861926 | 6470.47890016015 |
| 122 | 6433.98627459464 | 6386.20469200021 | 6481.76785718906 |
| 123 | 6444.92138002068 | 6393.45355125726 | 6496.3892087841 |
| 124 | 6446.81973498465 | 6391.701356872 | 6501.93811309729 |
| 125 | 6475.94634814752 | 6417.20037075784 | 6534.69232553719 |
| 126 | 6582.72281801545 | 6520.36244791937 | 6645.08318811152 |
| 127 | 6608.13683999076 | 6542.16768884632 | 6674.1059911352 |
| 128 | 6557.48256260695 | 6487.90422623807 | 6627.06089897583 |
| 129 | 6503.8247517462 | 6430.63199714748 | 6577.01750634491 |
