Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.774547992317058 |
beta | 0.0167647991621556 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 106.42 | 104.935482137768 | 1.48451786223234 |
14 | 107.35 | 107.025213518513 | 0.324786481487308 |
15 | 107.58 | 107.557531397773 | 0.0224686022270646 |
16 | 108.2 | 108.258691243135 | -0.0586912431351436 |
17 | 108.29 | 108.354495965813 | -0.0644959658130944 |
18 | 108.76 | 108.788789208367 | -0.028789208366689 |
19 | 110.69 | 110.542201752208 | 0.147798247792068 |
20 | 110.56 | 110.8078347664 | -0.247834766400032 |
21 | 108.81 | 109.391968200977 | -0.581968200977258 |
22 | 108.81 | 108.668648800773 | 0.141351199226833 |
23 | 108.81 | 108.751632357677 | 0.0583676423229917 |
24 | 109.74 | 108.875896505958 | 0.864103494041686 |
25 | 109.57 | 109.940244398497 | -0.37024439849661 |
26 | 110.44 | 110.347378023593 | 0.0926219764072869 |
27 | 111.2 | 110.630147196611 | 0.56985280338904 |
28 | 111.44 | 111.757021317456 | -0.317021317455527 |
29 | 111.83 | 111.651305334052 | 0.178694665947972 |
30 | 112.87 | 112.29625746423 | 0.573742535770478 |
31 | 115.07 | 114.627721393437 | 0.442278606563221 |
32 | 115.35 | 115.042869695343 | 0.307130304656923 |
33 | 113.81 | 113.93987690589 | -0.129876905889603 |
34 | 114.66 | 113.74434272994 | 0.915657270060365 |
35 | 114.51 | 114.434120701311 | 0.0758792986893155 |
36 | 115.11 | 114.794183303595 | 0.315816696404752 |
37 | 114.54 | 115.182474094746 | -0.642474094746348 |
38 | 115.39 | 115.539047388612 | -0.149047388611947 |
39 | 115.65 | 115.771977408622 | -0.121977408621987 |
40 | 116.46 | 116.190329669319 | 0.269670330680555 |
41 | 116.18 | 116.676497753022 | -0.496497753022439 |
42 | 116.63 | 116.917709193191 | -0.287709193190949 |
43 | 118.84 | 118.611977670002 | 0.228022329997984 |
44 | 118.77 | 118.826435763594 | -0.056435763594024 |
45 | 117.83 | 117.290999100612 | 0.539000899388171 |
46 | 117.66 | 117.850777203411 | -0.190777203410548 |
47 | 117.36 | 117.474228684201 | -0.114228684200697 |
48 | 118 | 117.733359601851 | 0.266640398148837 |
49 | 117.34 | 117.848008712834 | -0.5080087128337 |
50 | 118.04 | 118.429029406922 | -0.389029406922461 |
51 | 118.17 | 118.472508925834 | -0.302508925833521 |
52 | 118.82 | 118.832629700313 | -0.0126297003125302 |
53 | 119 | 118.906008637604 | 0.0939913623957835 |
54 | 118.89 | 119.651254441392 | -0.761254441391827 |
55 | 121.4 | 121.115368385189 | 0.284631614810692 |
56 | 121.01 | 121.287709058048 | -0.277709058047535 |
57 | 120.21 | 119.665025489273 | 0.544974510726576 |
58 | 120.39 | 120.041136848929 | 0.348863151070887 |
59 | 120.09 | 120.077916510039 | 0.0120834899611708 |
60 | 120.76 | 120.515048699931 | 0.244951300068649 |
61 | 120.33 | 120.415885306087 | -0.0858853060873486 |
62 | 120.84 | 121.365069557221 | -0.52506955722103 |
63 | 121.49 | 121.319091811785 | 0.170908188215321 |
64 | 122.29 | 122.122501438196 | 0.167498561804038 |
65 | 121.91 | 122.35749523201 | -0.447495232009885 |
66 | 122.46 | 122.490649841635 | -0.0306498416354941 |
67 | 124.94 | 124.822495982182 | 0.117504017817893 |
68 | 124.6 | 124.728760262186 | -0.128760262186248 |
69 | 123.09 | 123.367069256285 | -0.277069256284676 |
70 | 123.25 | 123.047624329212 | 0.2023756707883 |
71 | 123.01 | 122.873895555035 | 0.136104444964957 |
72 | 123.82 | 123.458566242733 | 0.361433757266738 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 123.3548978662 | 122.571070836178 | 124.138724896223 |
74 | 124.284021539612 | 123.284273700275 | 125.28376937895 |
75 | 124.812218573021 | 123.630464848308 | 125.993972297735 |
76 | 125.494645969651 | 124.148851646604 | 126.840440292698 |
77 | 125.452057803294 | 123.961018753321 | 126.943096853268 |
78 | 126.03962568709 | 124.406648197036 | 127.672603177145 |
79 | 128.495904712101 | 126.706842631952 | 130.284966792249 |
80 | 128.244909692968 | 126.33723713354 | 130.152582252396 |
81 | 126.909176172391 | 124.902053918704 | 128.916298426079 |
82 | 126.913364888931 | 124.792022872699 | 129.034706905163 |
83 | 126.556194623689 | 124.32940569348 | 128.782983553897 |
84 | 127.098293831845 | 123.494410141511 | 130.702177522178 |