Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.427178567563865 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | -1 | 1.35890151515151 | -2.35890151515151 |
14 | -5 | -3.27377065511514 | -1.72622934488486 |
15 | -4 | -2.5945121672831 | -1.40548783271690 |
16 | -5 | -4.02823977972488 | -0.97176022027512 |
17 | 0 | 0.514978414695782 | -0.514978414695782 |
18 | -2 | -1.91334266015361 | -0.0866573398463941 |
19 | -4 | -4.90869415179142 | 0.908694151791417 |
20 | -6 | -1.18718615234217 | -4.81281384765783 |
21 | -2 | -2.70145041106951 | 0.701450411069507 |
22 | -2 | -3.77680582925175 | 1.77680582925175 |
23 | -2 | -5.64279246027286 | 3.64279246027286 |
24 | 1 | -1.92000292849439 | 2.92000292849439 |
25 | -2 | -0.815536271769387 | -1.18446372823061 |
26 | 0 | -4.58410561169167 | 4.58410561169167 |
27 | -1 | -1.02547966381930 | 0.0254796638192989 |
28 | 2 | -1.59948015861429 | 3.59948015861429 |
29 | 3 | 5.15812836103317 | -2.15812836103317 |
30 | 2 | 2.27324033745255 | -0.273240337452547 |
31 | 3 | -0.231656744617019 | 3.23165674461702 |
32 | 4 | 1.20476867980059 | 2.79523132019941 |
33 | 5 | 6.09918700935527 | -1.09918700935527 |
34 | 5 | 4.87062450823519 | 0.129375491764812 |
35 | 4 | 3.36976808037334 | 0.630231919626659 |
36 | 5 | 5.39162698075596 | -0.391626980755959 |
37 | 6 | 2.73030984685418 | 3.26969015314582 |
38 | 4 | 4.16881973408876 | -0.168819734088759 |
39 | 6 | 3.08581919561187 | 2.91418080438813 |
40 | 6 | 5.7930739991211 | 0.206926000878902 |
41 | 3 | 7.80337453365337 | -4.80337453365337 |
42 | 5 | 4.86819829684822 | 0.131801703151781 |
43 | 5 | 4.54400666057947 | 0.455993339420527 |
44 | 5 | 4.54473433075936 | 0.455265669240639 |
45 | 3 | 6.20876319934777 | -3.20876319934777 |
46 | 5 | 4.78278189494878 | 0.217218105051216 |
47 | 5 | 3.60635124525436 | 1.39364875474564 |
48 | 6 | 5.36898277665246 | 0.631017223347541 |
49 | 6 | 5.24179825423168 | 0.75820174576832 |
50 | 5 | 3.63780196209796 | 1.36219803790204 |
51 | 4 | 4.97482818702663 | -0.97482818702663 |
52 | 4 | 4.47000812582455 | -0.470008125824545 |
53 | 0 | 3.32112938065024 | -3.32112938065024 |
54 | 2 | 3.84611122637495 | -1.84611122637495 |
55 | 3 | 2.8627014955762 | 0.137298504423799 |
56 | 3 | 2.7268727375774 | 0.273127262422599 |
57 | 2 | 2.21426171745076 | -0.214261717450755 |
58 | 3 | 4.02994278494165 | -1.02994278494165 |
59 | 5 | 2.99463642265813 | 2.00536357734187 |
60 | 6 | 4.58172772949405 | 1.41827227050595 |
61 | 6 | 4.8636957107426 | 1.1363042892574 |
62 | 5 | 3.76719874277495 | 1.23280125722505 |
63 | 4 | 3.71025072648220 | 0.289749273517804 |
64 | 7 | 4.03480280402931 | 2.96519719597069 |
65 | 5 | 2.72018678626889 | 2.27981321373111 |
66 | 6 | 6.48269327847014 | -0.482693278470141 |
67 | 5 | 7.21784607675214 | -2.21784607675214 |
68 | 6 | 6.1537556538837 | -0.153755653883697 |
69 | 5 | 5.1796025474472 | -0.179602547447201 |
70 | 6 | 6.542849672042 | -0.542849672041998 |
71 | 6 | 7.45430758632294 | -1.45430758632294 |
72 | 6 | 7.22720303786996 | -1.22720303786996 |
73 | 6 | 6.21756336344099 | -0.217563363440993 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
74 | 4.59799868233956 | 0.787740974744536 | 8.4082563899346 |
75 | 3.47422400272556 | -0.669125158557696 | 7.61757316400881 |
76 | 5.20755531200641 | 0.755968994037727 | 9.65914162997509 |
77 | 2.23366796905158 | -2.50615262041647 | 6.97348855851963 |
78 | 3.43986419232116 | -1.57164034168503 | 8.45136872632735 |
79 | 3.38728050246528 | -1.88191831408965 | 8.65647931902021 |
80 | 4.45296162244616 | -1.06190325734946 | 9.96782650224179 |
81 | 3.52968398139548 | -2.22036063725076 | 9.27972860004171 |
82 | 4.76157772670089 | -1.21439847727130 | 10.7375539306731 |
83 | 5.38282675822359 | -0.810845017424619 | 11.5764985338718 |
84 | 5.9070615940509 | -0.496909715884875 | 12.3110329039867 |
85 | 6 | -0.607581025799065 | 12.6075810257991 |