Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.118633222491527 |
beta | 0.177842898062282 |
gamma | 0.593783465800473 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 9737 | 9768.09802350428 | -31.0980235042771 |
14 | 9035 | 9094.8206924271 | -59.8206924271071 |
15 | 9133 | 9216.54046372288 | -83.540463722884 |
16 | 9487 | 9563.6837390525 | -76.6837390525016 |
17 | 8700 | 8755.77257036377 | -55.7725703637716 |
18 | 9627 | 9656.62380040247 | -29.6238004024708 |
19 | 8947 | 9350.24380475744 | -403.243804757440 |
20 | 9283 | 9699.78239553113 | -416.782395531127 |
21 | 8829 | 9042.42155295763 | -213.421552957634 |
22 | 9947 | 9575.43327830275 | 371.566721697251 |
23 | 9628 | 9462.01672409177 | 165.983275908229 |
24 | 9318 | 8775.37973766809 | 542.620262331908 |
25 | 9605 | 9309.97278290418 | 295.027217095818 |
26 | 8640 | 8661.11902781597 | -21.1190278159702 |
27 | 9214 | 8776.5991422721 | 437.400857727909 |
28 | 9567 | 9201.70519948736 | 365.294800512638 |
29 | 8547 | 8479.06936733726 | 67.9306326627375 |
30 | 9185 | 9432.78885628325 | -247.788856283250 |
31 | 9470 | 8924.90192534264 | 545.098074657359 |
32 | 9123 | 9419.77362094013 | -296.773620940128 |
33 | 9278 | 8925.52238256696 | 352.477617433044 |
34 | 10170 | 9886.20179988823 | 283.798200111771 |
35 | 9434 | 9707.31587557403 | -273.315875574028 |
36 | 9655 | 9208.93777542882 | 446.062224571177 |
37 | 9429 | 9643.7278195637 | -214.727819563708 |
38 | 8739 | 8799.42061989 | -60.4206198899992 |
39 | 9552 | 9179.84407265357 | 372.155927346434 |
40 | 9687 | 9587.74086183392 | 99.2591381660786 |
41 | 9019 | 8700.57566008587 | 318.424339914131 |
42 | 9672 | 9546.72216589657 | 125.277834103428 |
43 | 9206 | 9533.85368355207 | -327.853683552074 |
44 | 9069 | 9501.97079455985 | -432.970794559853 |
45 | 9788 | 9345.86084071642 | 442.139159283584 |
46 | 10312 | 10297.6450143542 | 14.3549856457503 |
47 | 10105 | 9805.95946625138 | 299.040533748623 |
48 | 9863 | 9774.76348051052 | 88.2365194894774 |
49 | 9656 | 9836.53709924992 | -180.537099249921 |
50 | 9295 | 9093.01482721702 | 201.985172782981 |
51 | 9946 | 9752.4631185878 | 193.536881412205 |
52 | 9701 | 10014.0928950343 | -313.092895034275 |
53 | 9049 | 9201.74857262883 | -152.748572628829 |
54 | 10190 | 9890.0173758482 | 299.982624151804 |
55 | 9706 | 9663.51885783162 | 42.4811421683844 |
56 | 9765 | 9631.15772152543 | 133.842278474573 |
57 | 9893 | 10022.8300650879 | -129.830065087885 |
58 | 9994 | 10693.3737308997 | -699.373730899686 |
59 | 10433 | 10261.4366175686 | 171.563382431439 |
60 | 10073 | 10097.5384434724 | -24.5384434723783 |
61 | 10112 | 9995.63683516307 | 116.363164836932 |
62 | 9266 | 9484.15430846739 | -218.154308467389 |
63 | 9820 | 10077.1025414262 | -257.102541426164 |
64 | 10097 | 9998.3875218299 | 98.6124781701055 |
65 | 9115 | 9305.7422417943 | -190.742241794302 |
66 | 10411 | 10212.5772925215 | 198.422707478492 |
67 | 9678 | 9823.26733998628 | -145.267339986278 |
68 | 10408 | 9796.4829285558 | 611.517071444208 |
69 | 10153 | 10096.9477401591 | 56.0522598409407 |
70 | 10368 | 10485.5143429546 | -117.514342954579 |
71 | 10581 | 10584.7149952137 | -3.71499521370242 |
72 | 10597 | 10300.0096105413 | 296.990389458748 |
73 | 10680 | 10319.3899927210 | 360.610007278967 |
74 | 9738 | 9676.36807641033 | 61.6319235896663 |
75 | 9556 | 10302.5795309447 | -746.5795309447 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 10362.0840042989 | 9787.76490004352 | 10936.4031085544 |
77 | 9514.3557448468 | 8934.45700121268 | 10094.2544884809 |
78 | 10659.5563690082 | 10072.3474741499 | 11246.7652638665 |
79 | 10074.7246791618 | 9478.29255540215 | 10671.1568029215 |
80 | 10472.1798752538 | 9864.45693363734 | 11079.9028168702 |
81 | 10407.4488406122 | 9786.2438684113 | 11028.6538128131 |
82 | 10695.3965809542 | 10058.4269944306 | 11332.3661674777 |
83 | 10867.4388523229 | 10212.3627281077 | 11522.5149765380 |
84 | 10739.9686786445 | 10064.4150647009 | 11415.5222925882 |
85 | 10750.5679901758 | 10052.1642607429 | 11448.9717196088 |
86 | 9893.84717468539 | 9170.24256913044 | 10617.4517802403 |
87 | 10074.0254369393 | 9322.910334083 | 10825.1405397956 |