Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999921208544223 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 5.62 | 6.02 | -0.399999999999999 |
3 | 4.87 | 5.62003151658231 | -0.750031516582311 |
4 | 4.24 | 4.87005909607507 | -0.63005909607507 |
5 | 4.02 | 4.24004964327341 | -0.220049643273406 |
6 | 3.74 | 4.02001733803174 | -0.280017338031736 |
7 | 3.45 | 3.74002206297371 | -0.290022062973706 |
8 | 3.34 | 3.45002285126055 | -0.110022851260549 |
9 | 3.21 | 3.34000866886062 | -0.130008668860619 |
10 | 3.12 | 3.21001024357228 | -0.0900102435722832 |
11 | 3.04 | 3.12000709203813 | -0.0800070920381262 |
12 | 2.97 | 3.04000630387525 | -0.0700063038752541 |
13 | 2.93 | 2.9700055158986 | -0.0400055158985961 |
14 | 2.95 | 2.93000315209284 | 0.0199968479071631 |
15 | 2.92 | 2.94999842441924 | -0.0299984244192428 |
16 | 2.9 | 2.92000236361953 | -0.0200023636195312 |
17 | 2.95 | 2.90000157601535 | 0.0499984239846518 |
18 | 2.91 | 2.94999606055139 | -0.0399960605513878 |
19 | 2.89 | 2.91000315134784 | -0.020003151347836 |
20 | 2.84 | 2.89000157607741 | -0.0500015760774151 |
21 | 2.82 | 2.84000393969697 | -0.0200039396969705 |
22 | 2.78 | 2.82000157613953 | -0.04000157613953 |
23 | 2.86 | 2.78000315178242 | 0.0799968482175828 |
24 | 2.87 | 2.85999369693187 | 0.010006303068129 |
25 | 2.94 | 2.86999921158881 | 0.0700007884111855 |
26 | 3.04 | 2.93999448453598 | 0.100005515464025 |
27 | 3.12 | 3.03999212041985 | 0.0800078795801493 |
28 | 3.19 | 3.11999369606269 | 0.0700063039373058 |
29 | 3.27 | 3.1899944841014 | 0.0800055158986011 |
30 | 3.34 | 3.26999369624893 | 0.0700063037510676 |
31 | 3.4 | 3.33999448410141 | 0.0600055158985864 |
32 | 3.55 | 3.39999527207805 | 0.150004727921952 |
33 | 3.64 | 3.54998818090911 | 0.0900118190908867 |
34 | 3.76 | 3.63999290783774 | 0.120007092162263 |
35 | 3.78 | 3.7599905444665 | 0.0200094555334949 |
36 | 3.77 | 3.77999842342587 | -0.00999842342586899 |
37 | 3.81 | 3.77000078779034 | 0.0399992122096626 |
38 | 3.81 | 3.80999684840384 | 3.15159616004479e-06 |
39 | 3.82 | 3.80999999975168 | 0.0100000002483185 |
40 | 3.96 | 3.81999921208542 | 0.140000787914577 |
41 | 3.86 | 3.95998896913411 | -0.0999889691341105 |
42 | 3.84 | 3.86000787827644 | -0.0200078782764397 |
43 | 3.68 | 3.84000157644986 | -0.160001576449856 |
44 | 3.56 | 3.68001260675714 | -0.120012606757135 |
45 | 3.48 | 3.560009455968 | -0.080009455967998 |
46 | 3.4 | 3.48000630406151 | -0.0800063040615115 |
47 | 3.42 | 3.40000630381317 | 0.0199936961868317 |
48 | 3.2 | 3.41999842466757 | -0.219998424667571 |
49 | 3.11 | 3.20001733399615 | -0.0900173339961485 |
50 | 3.1 | 3.11000709259679 | -0.0100070925967906 |
51 | 2.99 | 3.10000078847339 | -0.110000788473394 |
52 | 3.1 | 2.99000866712226 | 0.10999133287774 |
53 | 3 | 3.09999133362276 | -0.0999913336227598 |
54 | 3.05 | 3.00000787846274 | 0.0499921215372585 |
55 | 3.1 | 3.04999606104797 | 0.0500039389520337 |
56 | 3.2 | 3.09999606011686 | 0.100003939883145 |
57 | 3.1 | 3.19999212054399 | -0.0999921205439933 |
58 | 3.3 | 3.10000787852474 | 0.199992121475256 |
59 | 3.13 | 3.29998424232961 | -0.169984242329605 |
60 | 3.14 | 3.13001339330591 | 0.00998660669408791 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 3.13999921314072 | 2.81310896291688 | 3.46688946336456 |
62 | 3.13999921314072 | 2.67772479986234 | 3.6022736264191 |
63 | 3.13999921314072 | 2.57383843151386 | 3.70615999476758 |
64 | 3.13999921314072 | 2.48625734655055 | 3.79374107973089 |
65 | 3.13999921314072 | 2.40909646611259 | 3.87090196016885 |
66 | 3.13999921314072 | 2.33933747239515 | 3.9406609538863 |
67 | 3.13999921314072 | 2.27518731418569 | 4.00481111209575 |
68 | 3.13999921314072 | 2.21547770551926 | 4.06452072076219 |
69 | 3.13999921314072 | 2.15939714525838 | 4.12060128102307 |
70 | 3.13999921314072 | 2.10635478055493 | 4.17364364572651 |
71 | 3.13999921314072 | 2.05590456298509 | 4.22409386329635 |
72 | 3.13999921314072 | 2.00769995588735 | 4.27229847039409 |