Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.182050486447323 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 2820 | 2564 | 256 |
3 | 3508 | 2610.60492453051 | 897.395075469485 |
4 | 3088 | 2773.97613455517 | 314.023865444834 |
5 | 3299 | 2831.14433201547 | 467.855667984533 |
6 | 2939 | 2916.31768395919 | 22.6823160408112 |
7 | 3320 | 2920.44701062817 | 399.552989371829 |
8 | 3418 | 2993.18582670479 | 424.814173295206 |
9 | 3604 | 3070.5234536029 | 533.476546397096 |
10 | 3495 | 3167.64311838273 | 327.356881617267 |
11 | 4163 | 3227.23859792304 | 935.761402076965 |
12 | 4882 | 3397.59441636978 | 1484.40558363022 |
13 | 2211 | 3667.83117495478 | -1456.83117495478 |
14 | 3260 | 3402.61435088264 | -142.614350882638 |
15 | 2992 | 3376.65133893008 | -384.651338930084 |
16 | 2425 | 3306.62537556525 | -881.625375565248 |
17 | 2707 | 3146.12504707929 | -439.125047079291 |
18 | 3244 | 3066.1821186473 | 177.817881352697 |
19 | 3965 | 3098.55395044659 | 866.446049553407 |
20 | 3315 | 3256.29087524815 | 58.7091247518479 |
21 | 3333 | 3266.97889996812 | 66.0211000318773 |
22 | 3583 | 3278.99807334471 | 304.001926655287 |
23 | 4021 | 3334.34177197323 | 686.658228026768 |
24 | 4904 | 3459.34823640856 | 1444.65176359144 |
25 | 2252 | 3722.34779271737 | -1470.34779271737 |
26 | 2952 | 3454.67026180642 | -502.670261806422 |
27 | 3573 | 3363.15889612196 | 209.84110387804 |
28 | 3048 | 3401.3605711596 | -353.3605711596 |
29 | 3059 | 3337.03110728869 | -278.031107288691 |
30 | 2731 | 3286.4154089593 | -555.415408959297 |
31 | 3563 | 3185.30176357792 | 377.698236422082 |
32 | 3092 | 3254.06191124885 | -162.061911248854 |
33 | 3478 | 3224.55846147142 | 253.441538528582 |
34 | 3478 | 3270.6976168465 | 207.302383153496 |
35 | 4308 | 3308.43711654129 | 999.562883458713 |
36 | 5029 | 3490.40802570963 | 1538.59197429037 |
37 | 2075 | 3770.50944307314 | -1695.50944307314 |
38 | 3264 | 3461.84112418565 | -197.841124185647 |
39 | 3308 | 3425.82405128836 | -117.824051288365 |
40 | 3688 | 3404.37412543612 | 283.625874563876 |
41 | 3136 | 3456.00835386952 | -320.008353869525 |
42 | 2824 | 3397.75067738037 | -573.750677380371 |
43 | 3644 | 3293.29908746379 | 350.700912536207 |
44 | 4694 | 3357.14435918853 | 1336.85564081147 |
45 | 2914 | 3600.51957890811 | -686.519578908105 |
46 | 3686 | 3475.53835561227 | 210.461644387727 |
47 | 4358 | 3513.85300035156 | 844.146999648437 |
48 | 5587 | 3667.53037227061 | 1919.46962772939 |
49 | 2265 | 4016.97075171961 | -1751.97075171961 |
50 | 3685 | 3698.02362412757 | -13.0236241275697 |
51 | 3754 | 3695.65266701984 | 58.3473329801614 |
52 | 3708 | 3706.27482737178 | 1.72517262821884 |
53 | 3210 | 3706.58889588795 | -496.588895887954 |
54 | 3517 | 3616.18464582721 | -99.184645827213 |
55 | 3905 | 3598.12803280626 | 306.871967193737 |
56 | 3670 | 3653.99422371093 | 16.0057762890697 |
57 | 4221 | 3656.90808307032 | 564.091916929678 |
58 | 4404 | 3759.60129094837 | 644.398709051627 |
59 | 5086 | 3876.91438939725 | 1209.08561060275 |
60 | 5725 | 4097.02901296394 | 1627.97098703606 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 4393.40192307598 | 2867.95280274978 | 5918.85104340218 |
62 | 4393.40192307598 | 2842.88034277543 | 5943.92350337653 |
63 | 4393.40192307598 | 2818.20691189436 | 5968.5969342576 |
64 | 4393.40192307598 | 2793.91404393303 | 5992.88980221893 |
65 | 4393.40192307598 | 2769.98465453442 | 6016.81919161755 |
66 | 4393.40192307598 | 2746.40290058911 | 6040.40094556285 |
67 | 4393.40192307598 | 2723.15405753433 | 6063.64978861763 |
68 | 4393.40192307598 | 2700.22441182083 | 6086.57943433113 |
69 | 4393.40192307598 | 2677.60116631722 | 6109.20267983474 |
70 | 4393.40192307598 | 2655.27235679858 | 6131.53148935339 |
71 | 4393.40192307598 | 2633.22677797211 | 6153.57706817985 |
72 | 4393.40192307598 | 2611.4539177416 | 6175.34992841036 |