Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.553998137465133 |
beta | 1 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 5.451 | 4.212 | 1.239 |
4 | 5.397 | 5.1538073846386 | 0.243192615361401 |
5 | 5.635 | 5.67866758886888 | -0.0436675888688809 |
6 | 5.708 | 6.02041601134176 | -0.312416011341765 |
7 | 5.578 | 6.04020041992036 | -0.462200419920356 |
8 | 5.574 | 5.72094637335361 | -0.146946373353612 |
9 | 5.352 | 5.49493446426803 | -0.142934464268032 |
10 | 5.302 | 5.19195971835948 | 0.110040281640522 |
11 | 4.923 | 5.09009462158497 | -0.167094621584965 |
12 | 4.982 | 4.74212719545844 | 0.239872804541559 |
13 | 5.101 | 4.75250805235955 | 0.348491947640448 |
14 | 4.763 | 5.01612760214491 | -0.253127602144911 |
15 | 5.505 | 4.80621882175727 | 0.698781178242728 |
16 | 5.385 | 5.51078920398326 | -0.125789203983255 |
17 | 5.794 | 5.68886214552718 | 0.105137854472815 |
18 | 5.695 | 6.0531144229011 | -0.358114422901099 |
19 | 5.798 | 5.96233107814677 | -0.164331078146774 |
20 | 5.705 | 5.88786423423716 | -0.182864234237159 |
21 | 5.422 | 5.70182361119575 | -0.279823611195746 |
22 | 5.311 | 5.30704591448828 | 0.00395408551171528 |
23 | 4.968 | 5.07167108921977 | -0.103671089219771 |
24 | 5.053 | 4.71923852726892 | 0.333761472731081 |
25 | 5.236 | 4.79404602415608 | 0.44195397584392 |
26 | 4.782 | 5.17363364571829 | -0.391633645718287 |
27 | 5.531 | 4.87445096722443 | 0.65654903277557 |
28 | 5.566 | 5.51968648165158 | 0.0463135183484154 |
29 | 5.961 | 5.8525102605755 | 0.108489739424503 |
30 | 5.868 | 6.27988266374544 | -0.411882663745436 |
31 | 5.872 | 6.19078749620182 | -0.318787496201823 |
32 | 5.908 | 5.97665919894139 | -0.0686591989413925 |
33 | 5.594 | 5.86306444415719 | -0.269064444157188 |
34 | 5.526 | 5.48938435586401 | 0.0366156441359848 |
35 | 5.111 | 5.30533546579886 | -0.194335465798859 |
36 | 5.177 | 4.88567860488831 | 0.291321395111693 |
37 | 5.835 | 4.89646625066499 | 0.938533749335014 |
38 | 5.348 | 5.78575428430557 | -0.437754284305575 |
39 | 6.038 | 5.67006625252106 | 0.367933747478943 |
40 | 6.039 | 6.20456250053701 | -0.165562500537012 |
41 | 6.408 | 6.35178150387592 | 0.0562184961240844 |
42 | 6.214 | 6.65301170843406 | -0.439011708434061 |
43 | 6.138 | 6.43667363325266 | -0.298673633252663 |
44 | 6.529 | 6.13261795380528 | 0.39638204619472 |
45 | 6.058 | 6.4332167415228 | -0.375216741522804 |
46 | 6.026 | 6.0984818620251 | -0.0724818620250947 |
47 | 5.678 | 5.89130672535294 | -0.213306725352941 |
48 | 5.733 | 5.48794334813406 | 0.245056651865938 |
49 | 6.488 | 5.47427335688384 | 1.01372664311616 |
50 | 5.936 | 6.44804778129672 | -0.512047781296717 |
51 | 6.84 | 6.29287249926139 | 0.547127500738611 |
52 | 6.694 | 7.02758596708788 | -0.333585967087883 |
53 | 7.193 | 7.08957980964685 | 0.103420190353151 |
54 | 6.991 | 7.45096884232088 | -0.459968842320878 |
55 | 7.209 | 7.24541951828745 | -0.0364195182874516 |
56 | 7.104 | 7.25433938559453 | -0.150339385594534 |
57 | 6.83 | 7.1168601189862 | -0.286860118986194 |
58 | 6.848 | 6.74482864872212 | 0.103171351277878 |
59 | 6.396 | 6.64603062298484 | -0.250030622984839 |
60 | 6.414 | 6.21304286191415 | 0.200957138085845 |
61 | 7.151 | 6.14123136070608 | 1.00976863929392 |
62 | 6.882 | 7.0769098701672 | -0.194909870167192 |
63 | 7.698 | 7.23721902409638 | 0.460780975903622 |
64 | 7.626 | 8.0160514879317 | -0.390051487931706 |
65 | 7.936 | 8.10743655367772 | -0.171436553677724 |
66 | 8.054 | 8.22495835439161 | -0.170958354391608 |
67 | 8.128 | 8.24803446670228 | -0.120034466702284 |
68 | 8.062 | 8.23282344696064 | -0.170823446960643 |
69 | 7.708 | 8.09483955530055 | -0.386839555300545 |
70 | 7.574 | 7.62287474882334 | -0.0488747488233354 |
71 | 7.039 | 7.31106529584606 | -0.272065295846058 |
72 | 7.146 | 6.72488502835075 | 0.421114971649247 |
73 | 7.07 | 6.7560222479278 | 0.313977752072207 |
74 | 6.607 | 6.90174873725945 | -0.294748737259454 |
75 | 7.699 | 6.54695163381375 | 1.15204836618625 |
76 | 7.663 | 7.63191008010385 | 0.0310899198961545 |
77 | 7.988 | 8.11308339268983 | -0.12508339268983 |
78 | 7.723 | 8.43844101440343 | -0.715441014403434 |
79 | 8.087 | 8.04038862380369 | 0.0466113761963136 |
80 | 8.028 | 8.0903344538445 | -0.0623344538444961 |
81 | 7.362 | 8.04539132562835 | -0.683391325628348 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
82 | 7.27778632562609 | 6.4802156409 | 8.07535701035218 |
83 | 6.88877884718177 | 5.6983780161021 | 8.07917967826143 |
84 | 6.49977136873744 | 4.71815462908445 | 8.28138810839043 |
85 | 6.11076389029312 | 3.60120242003291 | 8.62032536055333 |
86 | 5.72175641184879 | 2.37829362494746 | 9.06521919875012 |
87 | 5.33274893340447 | 1.0657640868295 | 9.59973377997944 |
88 | 4.94374145496014 | -0.326326397001926 | 10.2138093069222 |
89 | 4.55473397651582 | -1.79101873126404 | 10.9004866842957 |
90 | 4.16572649807149 | -3.3230994475414 | 11.6545524436844 |
91 | 3.77671901962717 | -4.91844587709575 | 12.4718839163501 |
92 | 3.38771154118285 | -6.57367293144941 | 13.3490960138151 |
93 | 2.99870406273852 | -8.2859246730961 | 14.2833327985731 |