Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999958326946269 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 3.07 | 3.06 | 0.00999999999999979 |
3 | 3.08 | 3.06999958326946 | 0.0100004167305374 |
4 | 3.07 | 3.0799995832521 | -0.00999958325209649 |
5 | 3.08 | 3.07000041671317 | 0.00999958328683004 |
6 | 3.06 | 3.07999958328683 | -0.0199995832868285 |
7 | 3.07 | 3.06000083344371 | 0.00999916655629107 |
8 | 3.04 | 3.06999958330419 | -0.0299995833041948 |
9 | 3.05 | 3.04000125017425 | 0.00999874982575299 |
10 | 3.06 | 3.04999958332156 | 0.0100004166784391 |
11 | 3.05 | 3.0599995832521 | -0.00999958325209871 |
12 | 3.06 | 3.05000041671317 | 0.00999958328683004 |
13 | 3.07 | 3.05999958328683 | 0.0100004167131713 |
14 | 3.07 | 3.0699995832521 | 4.16747902853842e-07 |
15 | 3.1 | 3.06999999998263 | 0.0300000000173672 |
16 | 3.1 | 3.09999874980839 | 1.25019161245632e-06 |
17 | 3.1 | 3.0999999999479 | 5.20992138319798e-11 |
18 | 3.1 | 3.1 | 2.22044604925031e-15 |
19 | 3.09 | 3.1 | -0.0100000000000002 |
20 | 3.08 | 3.09000041673054 | -0.010000416730537 |
21 | 3.1 | 3.0800004167479 | 0.0199995832520963 |
22 | 3.08 | 3.09999916655629 | -0.0199991665562926 |
23 | 3.08 | 3.08000083342634 | -8.33426342605748e-07 |
24 | 3.09 | 3.08000000003473 | 0.00999999996526846 |
25 | 3.11 | 3.08999958326946 | 0.0200004167305359 |
26 | 3.19 | 3.10999916652156 | 0.080000833478441 |
27 | 3.24 | 3.18999666612097 | 0.0500033338790322 |
28 | 3.25 | 3.23999791620838 | 0.010002083791619 |
29 | 3.22 | 3.24999958318262 | -0.0299995831826245 |
30 | 3.21 | 3.22000125017424 | -0.0100012501742421 |
31 | 3.21 | 3.21000041678264 | -4.16782635959123e-07 |
32 | 3.19 | 3.21000000001737 | -0.0200000000173688 |
33 | 3.21 | 3.19000083346108 | 0.0199991665389248 |
34 | 3.21 | 3.20999916657366 | 8.33426341717569e-07 |
35 | 3.19 | 3.20999999996527 | -0.0199999999652687 |
36 | 3.18 | 3.19000083346107 | -0.0100008334610728 |
37 | 3.16 | 3.18000041676527 | -0.0200004167652703 |
38 | 3.15 | 3.16000083347844 | -0.0100008334784429 |
39 | 3.15 | 3.15000041676527 | -4.1676527073875e-07 |
40 | 3.14 | 3.15000000001737 | -0.0100000000173677 |
41 | 3.14 | 3.14000041673054 | -4.16730538077559e-07 |
42 | 3.12 | 3.14000000001737 | -0.0200000000173666 |
43 | 3.12 | 3.12000083346108 | -8.33461075266939e-07 |
44 | 3.12 | 3.12000000003473 | -3.47326611915832e-11 |
45 | 3.12 | 3.12 | -1.33226762955019e-15 |
46 | 3.13 | 3.12 | 0.00999999999999979 |
47 | 3.14 | 3.12999958326946 | 0.0100004167305374 |
48 | 3.14 | 3.1399995832521 | 4.16747903742021e-07 |
49 | 3.16 | 3.13999999998263 | 0.020000000017367 |
50 | 3.19 | 3.15999916653892 | 0.0300008334610751 |
51 | 3.18 | 3.18999874977366 | -0.00999874977365511 |
52 | 3.18 | 3.18000041667844 | -4.16678436643281e-07 |
53 | 3.19 | 3.18000000001736 | 0.00999999998263545 |
54 | 3.18 | 3.18999958326946 | -0.00999958326946304 |
55 | 3.17 | 3.18000041671317 | -0.0100004167131713 |
56 | 3.17 | 3.1700004167479 | -4.16747902853842e-07 |
57 | 3.16 | 3.17000000001737 | -0.0100000000173668 |
58 | 3.15 | 3.16000041673054 | -0.0100004167305383 |
59 | 3.14 | 3.1500004167479 | -0.0100004167479035 |
60 | 3.15 | 3.1400004167479 | 0.00999958325209516 |
61 | 3.15 | 3.14999958328683 | 4.16713170192651e-07 |
62 | 3.16 | 3.14999999998263 | 0.0100000000173659 |
63 | 3.18 | 3.15999958326946 | 0.0200004167305381 |
64 | 3.18 | 3.17999916652156 | 8.33478440931401e-07 |
65 | 3.19 | 3.17999999996527 | 0.0100000000347333 |
66 | 3.18 | 3.18999958326946 | -0.00999958326946082 |
67 | 3.19 | 3.18000041671317 | 0.00999958328682871 |
68 | 3.2 | 3.18999958328683 | 0.0100004167131718 |
69 | 3.2 | 3.1999995832521 | 4.16747902853842e-07 |
70 | 3.18 | 3.19999999998263 | -0.019999999982633 |
71 | 3.2 | 3.18000083346107 | 0.0199991665389261 |
72 | 3.21 | 3.19999916657366 | 0.0100008334263415 |
73 | 3.24 | 3.20999958323473 | 0.0300004167652688 |
74 | 3.29 | 3.23999874979102 | 0.0500012502089797 |
75 | 3.28 | 3.28999791629521 | -0.00999791629521374 |
76 | 3.27 | 3.2800004166437 | -0.0100004166437029 |
77 | 3.29 | 3.2700004167479 | 0.0199995832520998 |
78 | 3.27 | 3.28999916655629 | -0.0199991665562926 |
79 | 3.27 | 3.27000083342634 | -8.33426342605748e-07 |
80 | 3.25 | 3.27000000003473 | -0.0200000000347313 |
81 | 3.25 | 3.25000083346108 | -8.33461076155118e-07 |
82 | 3.23 | 3.25000000003473 | -0.0200000000347327 |
83 | 3.23 | 3.23000083346108 | -8.33461076155118e-07 |
84 | 3.25 | 3.23000000003473 | 0.0199999999652674 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 3.24999916653893 | 3.21492120876186 | 3.28507712431599 |
86 | 3.24999916653893 | 3.20039247655215 | 3.29960585652571 |
87 | 3.24999916653893 | 3.1892440493793 | 3.31075428369855 |
88 | 3.24999916653893 | 3.1798454436818 | 3.32015288939605 |
89 | 3.24999916653893 | 3.17156508338403 | 3.32843324969382 |
90 | 3.24999916653893 | 3.16407905265408 | 3.33591928042377 |
91 | 3.24999916653893 | 3.15719492881446 | 3.34280340426339 |
92 | 3.24999916653893 | 3.15078733705648 | 3.34921099602137 |
93 | 3.24999916653893 | 3.14476919134702 | 3.35522914173083 |
94 | 3.24999916653893 | 3.13907708465924 | 3.36092124841861 |
95 | 3.24999916653893 | 3.1336631496819 | 3.36633518339596 |
96 | 3.24999916653893 | 3.12849019819587 | 3.37150813488198 |