Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.740910262823532 |
beta | 0.531124395641552 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 8.4 | 35.3 | -26.9 |
4 | 7.8 | 34.1839465613008 | -26.3839465613008 |
5 | 4.8 | 23.0677500777428 | -18.2677500777428 |
6 | 3.5 | 10.7762837738573 | -7.27628377385727 |
7 | 8.7 | 3.76517709731999 | 4.93482290268001 |
8 | 6.8 | 7.74333405664098 | -0.943334056640976 |
9 | 6 | 6.99508761066271 | -0.995087610662706 |
10 | 3.6 | 5.8169140112281 | -2.2169140112281 |
11 | 8.7 | 2.86108663213023 | 5.83891336786977 |
12 | 8.9 | 8.17160743804776 | 0.728392561952241 |
13 | 8.1 | 9.98232470503944 | -1.88232470503944 |
14 | 7 | 9.11801077881871 | -2.11801077881871 |
15 | 7.9 | 7.24560451812751 | 0.654395481872487 |
16 | 8 | 7.68481728413225 | 0.315182715867746 |
17 | 7.5 | 7.99673311945576 | -0.496733119455757 |
18 | 6.3 | 7.51161999023741 | -1.21161999023741 |
19 | 7.6 | 6.02004857656986 | 1.57995142343014 |
20 | 8.4 | 7.21851647165496 | 1.18148352834504 |
21 | 6.8 | 8.58668751365616 | -1.78668751365616 |
22 | 8.8 | 7.05262091072994 | 1.74737908927006 |
23 | 8.7 | 8.82460130661836 | -0.124601306618358 |
24 | 8.7 | 9.16057966797437 | -0.460579667974372 |
25 | 7.4 | 9.06638296781257 | -1.66638296781257 |
26 | 2.8 | 7.42304667514372 | -4.62304667514372 |
27 | 4.8 | 1.76984730213691 | 3.03015269786308 |
28 | -21.1 | 2.97939398917111 | -24.0793939891711 |
29 | 8.5 | -25.3724158248961 | 33.8724158248961 |
30 | 9.4 | 2.54218617830264 | 6.85781382169736 |
31 | 1.8 | 13.1400484529445 | -11.3400484529445 |
32 | 4.8 | 5.79244279334235 | -0.992442793342351 |
33 | 5.8 | 5.72094272509767 | 0.0790572749023317 |
34 | 3.3 | 6.47443831832408 | -3.17443831832408 |
35 | -9 | 3.56819490500769 | -12.5681949050077 |
36 | -6 | -11.2437588676365 | 5.24375886763652 |
37 | -0.9 | -10.7951528148845 | 9.89515281488448 |
38 | -17.3 | -3.00638508861991 | -14.2936149113801 |
39 | -9.2 | -18.764082856964 | 9.56408285696403 |
40 | -8.1 | -13.0817525050184 | 4.98175250501838 |
41 | -20.9 | -8.83412083303867 | -12.0658791669613 |
42 | -14.6 | -21.9653650848174 | 7.36536508481738 |
43 | -13.9 | -17.8014156123331 | 3.90141561233307 |
44 | -20.8 | -14.668674277787 | -6.13132572221296 |
45 | -16.1 | -21.3820657649445 | 5.28206576494447 |
46 | -5 | -17.5605835328945 | 12.5605835328945 |
47 | -7.2 | -3.40358828366044 | -3.79641171633956 |
48 | -9.7 | -2.85960559739875 | -6.84039440260125 |
49 | -1.4 | -7.26274225326518 | 5.86274225326518 |
50 | 0.2 | 0.0530854496783766 | 0.146914550321623 |
51 | 2.6 | 3.19181090199407 | -0.591810901994071 |
52 | -4.8 | 5.55032031306388 | -10.3503203130639 |
53 | -6.2 | -3.39436168266452 | -2.80563831733548 |
54 | -2 | -7.85317356695798 | 5.85317356695798 |
55 | -0.8 | -3.59326824841678 | 2.79326824841678 |
56 | -3.1 | -0.501283788759041 | -2.59871621124096 |
57 | 0.6 | -2.42691110192493 | 3.02691110192493 |
58 | 0.2 | 1.00668307890293 | -0.806683078902933 |
59 | 0.3 | 1.28248567996138 | -0.982485679961383 |
60 | -0.1 | 1.04141097077758 | -1.14141097077758 |
61 | 4.3 | 0.233423955966735 | 4.06657604403326 |
62 | -3.2 | 4.88434873764017 | -8.08434873764017 |
63 | -1.3 | -2.64878801573908 | 1.34878801573908 |
64 | 1.5 | -2.66204792651794 | 4.16204792651794 |
65 | 2.5 | 1.04689573820659 | 1.45310426179341 |
66 | -2.2 | 3.32057431307783 | -5.52057431307783 |
67 | 1.7 | -1.74504878484111 | 3.44504878484111 |
68 | 5.7 | 1.18773043181523 | 4.51226956818477 |
69 | 2.7 | 6.68687256504994 | -3.98687256504994 |
70 | -4.8 | 4.32001685364052 | -9.12001685364052 |
71 | -3.1 | -5.43890627587766 | 2.33890627587766 |
72 | -0.5 | -5.78739974881552 | 5.28739974881552 |
73 | -3.4 | -1.87065030962276 | -1.52934969037724 |
74 | -4.7 | -3.60632332091516 | -1.09367667908484 |
75 | -5.6 | -5.44958046913921 | -0.150419530860789 |
76 | -1.7 | -6.6531611350004 | 4.9531611350004 |
77 | -1.8 | -2.1263007506523 | 0.326300750652299 |
78 | -5.4 | -0.899124301596575 | -4.50087569840342 |
79 | -4.8 | -5.01961684506547 | 0.219616845065471 |
80 | -2.8 | -5.55622538148322 | 2.75622538148322 |
81 | -4.9 | -3.12881716849068 | -1.77118283150932 |
82 | -6.8 | -4.75280008960027 | -2.04719991039973 |
83 | -7.6 | -7.38689182538354 | -0.213108174616464 |
84 | -6.6 | -8.74594754437084 | 2.14594754437084 |
85 | -5.6 | -7.51269101628557 | 1.91269101628557 |
86 | -1.4 | -5.69958305233571 | 4.29958305233571 |
87 | 0.1 | -0.426049641062504 | 0.526049641062504 |
88 | -3.7 | 2.25864283440732 | -5.95864283440732 |
89 | -5.6 | -2.20605830351303 | -3.39394169648696 |
90 | -3.1 | -6.10611476376964 | 3.00611476376964 |
91 | -3.8 | -4.08135090885438 | 0.281350908854383 |
92 | -5.1 | -3.96467660986344 | -1.13532339013656 |
93 | -4.1 | -5.34439820727782 | 1.24439820727782 |
94 | -0.3 | -4.47126964839778 | 4.17126964839778 |
95 | -0.3 | 0.21186732543042 | -0.51186732543042 |
96 | -2.4 | 1.22379231867243 | -3.62379231867243 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
97 | -1.4959583553049 | -16.6685178522409 | 13.6766011416311 |
98 | -1.53080411003675 | -24.4756164904573 | 21.4140082703838 |
99 | -1.5656498647686 | -34.1832174094001 | 31.0519176798629 |
100 | -1.60049561950045 | -45.3478095920144 | 42.1468183530135 |
101 | -1.63534137423229 | -57.738164325221 | 54.4674815767564 |
102 | -1.67018712896414 | -71.213702487072 | 67.8733282291438 |
103 | -1.70503288369599 | -85.6779205424151 | 82.2678547750231 |
104 | -1.73987863842784 | -101.058858542902 | 97.5791012660464 |
105 | -1.77472439315968 | -117.299783479844 | 113.750334693524 |
106 | -1.80957014789153 | -134.354209462151 | 130.735069166368 |
107 | -1.84441590262338 | -152.182977812785 | 148.494146007538 |
108 | -1.87926165735523 | -170.752414235972 | 166.993890921261 |