Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.118633222491809 |
beta | 0.177842898062907 |
gamma | 0.593783465793253 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 9737 | 9768.09802350428 | -31.0980235042771 |
14 | 9035 | 9094.8206924271 | -59.8206924270944 |
15 | 9133 | 9216.54046372284 | -83.5404637228421 |
16 | 9487 | 9563.68373905242 | -76.6837390524197 |
17 | 8700 | 8755.77257036365 | -55.7725703636497 |
18 | 9627 | 9656.62380040231 | -29.6238004023144 |
19 | 8947 | 9350.24380475726 | -403.24380475726 |
20 | 9283 | 9699.78239553077 | -416.782395530772 |
21 | 8829 | 9042.42155295708 | -213.421552957079 |
22 | 9947 | 9575.43327830206 | 371.566721697942 |
23 | 9628 | 9462.01672409119 | 165.983275908815 |
24 | 9318 | 8775.37973766758 | 542.620262332422 |
25 | 9605 | 9309.97278290412 | 295.027217095883 |
26 | 8640 | 8661.11902781626 | -21.1190278162594 |
27 | 9214 | 8776.59914227257 | 437.400857727431 |
28 | 9567 | 9201.70519948799 | 365.294800512012 |
29 | 8547 | 8479.06936733794 | 67.9306326620626 |
30 | 9185 | 9432.78885628384 | -247.788856283843 |
31 | 9470 | 8924.90192534563 | 545.098074654368 |
32 | 9123 | 9419.77362094319 | -296.773620943191 |
33 | 9278 | 8925.52238256834 | 352.477617431659 |
34 | 10170 | 9886.2017998858 | 283.798200114197 |
35 | 9434 | 9707.31587557335 | -273.315875573349 |
36 | 9655 | 9208.93777542572 | 446.062224574276 |
37 | 9429 | 9643.72781956288 | -214.727819562881 |
38 | 8739 | 8799.42061989147 | -60.420619891469 |
39 | 9552 | 9179.84407265206 | 372.155927347936 |
40 | 9687 | 9587.7408618333 | 99.2591381667062 |
41 | 9019 | 8700.5756600874 | 318.424339912604 |
42 | 9672 | 9546.72216590022 | 125.277834099783 |
43 | 9206 | 9533.85368355153 | -327.853683551533 |
44 | 9069 | 9501.9707945651 | -432.970794565092 |
45 | 9788 | 9345.86084071632 | 442.139159283677 |
46 | 10312 | 10297.645014353 | 14.3549856469581 |
47 | 10105 | 9805.95946625441 | 299.040533745587 |
48 | 9863 | 9774.7634805074 | 88.2365194925878 |
49 | 9656 | 9836.53709925205 | -180.537099252051 |
50 | 9295 | 9093.01482721878 | 201.985172781224 |
51 | 9946 | 9752.46311858526 | 193.536881414742 |
52 | 9701 | 10014.0928950339 | -313.09289503392 |
53 | 9049 | 9201.74857262777 | -152.74857262777 |
54 | 10190 | 9890.01737584943 | 299.982624150571 |
55 | 9706 | 9663.51885783407 | 42.4811421659306 |
56 | 9765 | 9631.15772153098 | 133.842278469023 |
57 | 9893 | 10022.8300650853 | -129.830065085269 |
58 | 9994 | 10693.3737308994 | -699.37373089942 |
59 | 10433 | 10261.436617568 | 171.563382432012 |
60 | 10073 | 10097.5384434705 | -24.5384434705411 |
61 | 10112 | 9995.63683516516 | 116.363164834836 |
62 | 9266 | 9484.1543084668 | -218.154308466797 |
63 | 9820 | 10077.1025414236 | -257.102541423639 |
64 | 10097 | 9998.38752183143 | 98.6124781685721 |
65 | 9115 | 9305.7422417942 | -190.7422417942 |
66 | 10411 | 10212.5772925192 | 198.422707480755 |
67 | 9678 | 9823.26733998655 | -145.267339986553 |
68 | 10408 | 9796.48292855706 | 611.517071442942 |
69 | 10153 | 10096.9477401589 | 56.0522598411408 |
70 | 10368 | 10485.514342959 | -117.514342959017 |
71 | 10581 | 10584.7149952119 | -3.71499521191436 |
72 | 10597 | 10300.0096105402 | 296.990389459754 |
73 | 10680 | 10319.389992721 | 360.610007278996 |
74 | 9738 | 9676.36807641163 | 61.6319235883657 |
75 | 9556 | 10302.5795309453 | -746.579530945288 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 10362.0840042986 | 9787.76490004313 | 10936.4031085541 |
77 | 9514.35574484773 | 8934.45700121352 | 10094.2544884819 |
78 | 10659.5563690056 | 10072.3474741472 | 11246.765263864 |
79 | 10074.7246791623 | 9478.29255540244 | 10671.1568029222 |
80 | 10472.1798752498 | 9864.4569336331 | 11079.9028168666 |
81 | 10407.4488406111 | 9786.2438684098 | 11028.6538128123 |
82 | 10695.3965809563 | 10058.4269944322 | 11332.3661674803 |
83 | 10867.4388523218 | 10212.362728106 | 11522.5149765376 |
84 | 10739.9686786417 | 10064.4150646972 | 11415.5222925861 |
85 | 10750.5679901727 | 10052.1642607388 | 11448.9717196067 |
86 | 9893.84717468465 | 9170.2425691285 | 10617.4517802408 |
87 | 10074.0254369435 | 9322.91033408582 | 10825.1405398013 |