Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.118633081220547 |
beta | 0.177857467177405 |
gamma | 0.5937606815085 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 9737 | 9768.09802350428 | -31.0980235042771 |
14 | 9035 | 9094.8206438525 | -59.8206438524921 |
15 | 9133 | 9216.54027552891 | -83.5402755289124 |
16 | 9487 | 9563.6832928337 | -76.6832928337008 |
17 | 8700 | 8755.77177456493 | -55.7717745649261 |
18 | 9627 | 9656.62261533747 | -29.6226153374682 |
19 | 8947 | 9350.24224745979 | -403.242247459786 |
20 | 9283 | 9699.77990897321 | -416.779908973213 |
21 | 8829 | 9042.4175918722 | -213.417591872209 |
22 | 9947 | 9575.42770895528 | 371.572291044724 |
23 | 9628 | 9462.01040501833 | 165.989594981666 |
24 | 9318 | 8775.37320289687 | 542.626797103134 |
25 | 9605 | 9309.96768879984 | 295.032311200162 |
26 | 8640 | 8661.11582635564 | -21.1158263556354 |
27 | 9214 | 8776.59763276738 | 437.402367232617 |
28 | 9567 | 9201.70534380874 | 365.294656191258 |
29 | 8547 | 8479.0713654777 | 67.9286345223063 |
30 | 9185 | 9432.79251990023 | -247.792519900235 |
31 | 9470 | 8924.91458754528 | 545.085412454724 |
32 | 9123 | 9419.78785425682 | -296.787854256820 |
33 | 9278 | 8925.53326165975 | 352.46673834025 |
34 | 10170 | 9886.2024401871 | 283.797559812900 |
35 | 9434 | 9707.32333142966 | -273.323331429661 |
36 | 9655 | 9208.93877176675 | 446.061228233255 |
37 | 9429 | 9643.73599787529 | -214.73599787529 |
38 | 8739 | 8799.4357954875 | -60.4357954874995 |
39 | 9552 | 9179.84953180272 | 372.150468197282 |
40 | 9687 | 9587.7482964313 | 99.2517035687033 |
41 | 9019 | 8700.58905330985 | 318.410946690148 |
42 | 9672 | 9546.74142131195 | 125.25857868805 |
43 | 9206 | 9533.8599186699 | -327.859918669908 |
44 | 9069 | 9501.99459678781 | -432.99459678781 |
45 | 9788 | 9345.86760799596 | 442.132392004038 |
46 | 10312 | 10297.6476522826 | 14.3523477174276 |
47 | 10105 | 9805.97469658919 | 299.025303410814 |
48 | 9863 | 9774.75945531857 | 88.2405446814264 |
49 | 9656 | 9836.5490668885 | -180.549066888509 |
50 | 9295 | 9093.02527743563 | 201.974722564371 |
51 | 9946 | 9752.46004416102 | 193.539955838984 |
52 | 9701 | 10014.0963668069 | -313.096366806853 |
53 | 9049 | 9201.74952137105 | -152.749521371048 |
54 | 10190 | 9890.02447533174 | 299.975524668256 |
55 | 9706 | 9663.52873478376 | 42.4712652162380 |
56 | 9765 | 9631.17664908248 | 133.823350917515 |
57 | 9893 | 10022.8239980114 | -129.823998011401 |
58 | 9994 | 10693.3752773111 | -699.375277311072 |
59 | 10433 | 10261.4369351175 | 171.563064882548 |
60 | 10073 | 10097.5339138071 | -24.5339138070922 |
61 | 10112 | 9995.64352685936 | 116.356473140644 |
62 | 9266 | 9484.15197570541 | -218.151975705412 |
63 | 9820 | 10077.0938250165 | -257.093825016538 |
64 | 10097 | 9998.3904601161 | 98.6095398839061 |
65 | 9115 | 9305.73915852747 | -190.739158527469 |
66 | 10411 | 10212.5669742498 | 198.433025750250 |
67 | 9678 | 9823.26417307528 | -145.264173075282 |
68 | 10408 | 9796.48237564632 | 611.517624353677 |
69 | 10153 | 10096.9425665859 | 56.057433414142 |
70 | 10368 | 10485.5241309133 | -117.524130913331 |
71 | 10581 | 10584.7066133174 | -3.70661331736665 |
72 | 10597 | 10300.0046737778 | 296.99532622221 |
73 | 10680 | 10319.3889237420 | 360.611076258041 |
74 | 9738 | 9676.37219468041 | 61.6278053195856 |
75 | 9556 | 10302.5828340882 | -746.582834088236 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 10362.0855593113 | 9787.76588123755 | 10936.4052373851 |
77 | 9514.3616388849 | 8934.46219171318 | 10094.2610860566 |
78 | 10659.5519595844 | 10072.3420604459 | 11246.7618587228 |
79 | 10074.7301201648 | 9478.29648947731 | 10671.1637508523 |
80 | 10472.1719775920 | 9864.44679950526 | 11079.8971556787 |
81 | 10407.4497610767 | 9786.24157762563 | 11028.6579445278 |
82 | 10695.4071857136 | 10058.4331565121 | 11332.381214915 |
83 | 10867.4397588523 | 10212.3576991865 | 11522.5218185182 |
84 | 10739.9641427148 | 10064.4028405465 | 11415.5254448832 |
85 | 10750.5627955364 | 10052.1493714852 | 11448.9762195877 |
86 | 9893.8490323908 | 9170.23248243995 | 10617.4655823417 |
87 | 10074.0422242075 | 9322.91269667272 | 10825.1717517423 |