Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999933893038648 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 6.2 | 6.3 | -0.0999999999999996 |
3 | 6.2 | 6.20000661069614 | -6.61069613538956e-06 |
4 | 6.3 | 6.20000000043701 | 0.0999999995629866 |
5 | 6.5 | 6.29999338930389 | 0.200006610696106 |
6 | 6.5 | 6.49998677817072 | 1.32218292829833e-05 |
7 | 6.2 | 6.49999999912595 | -0.299999999125945 |
8 | 6.2 | 6.20001983208835 | -1.98320883475489e-05 |
9 | 6.2 | 6.20000000131104 | -1.31103927714094e-09 |
10 | 6.1 | 6.20000000000009 | -0.100000000000088 |
11 | 6.1 | 6.10000661069614 | -6.61069613538956e-06 |
12 | 6.2 | 6.10000000043701 | 0.0999999995629874 |
13 | 6.1 | 6.19999338930389 | -0.0999933893038945 |
14 | 6.1 | 6.10000661025912 | -6.61025912229718e-06 |
15 | 6.2 | 6.10000000043698 | 0.0999999995630168 |
16 | 6.2 | 6.19999338930389 | 6.61069610607967e-06 |
17 | 6.4 | 6.19999999956299 | 0.200000000437013 |
18 | 6.2 | 6.3999867786077 | -0.199986778607701 |
19 | 5.7 | 6.20001322051824 | -0.500013220518245 |
20 | 5.7 | 5.70003305435464 | -3.30543546445128e-05 |
21 | 5.7 | 5.70000000218512 | -2.18512319349884e-09 |
22 | 5.9 | 5.70000000000014 | 0.199999999999855 |
23 | 6 | 5.89998677860773 | 0.10001322139227 |
24 | 6.3 | 5.99999338842984 | 0.300006611570161 |
25 | 6.4 | 6.29998016747452 | 0.100019832525477 |
26 | 6.5 | 6.3999933879928 | 0.100006612007203 |
27 | 6.8 | 6.49999338886677 | 0.300006611133234 |
28 | 7 | 6.79998016747455 | 0.200019832525448 |
29 | 7.3 | 6.99998677729666 | 0.300013222703338 |
30 | 7.4 | 7.29998016703748 | 0.100019832962519 |
31 | 6.9 | 7.39999338799277 | -0.499993387992768 |
32 | 6.9 | 6.90003305304358 | -3.30530435759258e-05 |
33 | 7 | 6.90000000218504 | 0.0999999978149635 |
34 | 7.1 | 6.99999338930401 | 0.10000661069599 |
35 | 7.2 | 7.09999338886685 | 0.100006611133149 |
36 | 7.1 | 7.19999338886682 | -0.0999933888668236 |
37 | 6.8 | 7.10000661025909 | -0.300006610259093 |
38 | 6.5 | 6.80001983252539 | -0.30001983252539 |
39 | 6.4 | 6.50001983339947 | -0.100019833399474 |
40 | 6.5 | 6.40000661200726 | 0.0999933879927388 |
41 | 6.7 | 6.49999338974096 | 0.200006610259035 |
42 | 6.6 | 6.69998677817075 | -0.099986778170746 |
43 | 6.2 | 6.60000660982208 | -0.400006609822079 |
44 | 6.2 | 6.2000264432215 | -2.64432214960308e-05 |
45 | 6.5 | 6.20000000174808 | 0.299999998251919 |
46 | 6.8 | 6.49998016791171 | 0.30001983208829 |
47 | 6.8 | 6.79998016660056 | 1.98333994445576e-05 |
48 | 6.5 | 6.79999999868887 | -0.299999998688874 |
49 | 5.9 | 6.50001983208832 | -0.600019832088319 |
50 | 5.5 | 5.90003966548785 | -0.40003966548785 |
51 | 5.6 | 5.50002644540671 | 0.0999735545932943 |
52 | 6 | 5.59999339105209 | 0.40000660894791 |
53 | 6.3 | 5.99997355677856 | 0.300026443221438 |
54 | 6.2 | 6.29998016616351 | -0.0999801661635127 |
55 | 5.6 | 6.20000660938498 | -0.600006609384981 |
56 | 5.4 | 5.60003966461374 | -0.200039664613737 |
57 | 5.7 | 5.40001322401438 | 0.299986775985622 |
58 | 5.9 | 5.69998016878579 | 0.200019831214206 |
59 | 6.2 | 5.89998677729675 | 0.300013222703251 |
60 | 6.3 | 6.19998016703748 | 0.100019832962518 |
61 | 6.1 | 6.29999338799277 | -0.199993387992768 |
62 | 5.9 | 6.10001322095517 | -0.20001322095517 |
63 | 5.9 | 5.90001322226627 | -1.3222266267654e-05 |
64 | 5.7 | 5.90000000087408 | -0.200000000874084 |
65 | 5.9 | 5.70001322139233 | 0.199986778607672 |
66 | 6.1 | 5.89998677948176 | 0.200013220518244 |
67 | 6.1 | 6.09998677773376 | 1.32222662383441e-05 |
68 | 6.5 | 6.09999999912592 | 0.400000000874084 |
69 | 6.8 | 6.4999735572154 | 0.300026442784598 |
70 | 6.8 | 6.79998016616354 | 1.983383645765e-05 |
71 | 6.9 | 6.79999999868885 | 0.100000001311155 |
72 | 6.9 | 6.89999338930378 | 6.61069622154287e-06 |
73 | 6.8 | 6.89999999956299 | -0.0999999995629874 |
74 | 6.6 | 6.80000661069611 | -0.200006610696106 |
75 | 6.5 | 6.60001322182928 | -0.100013221829283 |
76 | 6.5 | 6.50000661157019 | -6.61157018999603e-06 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
77 | 6.50000000043707 | 6.05470779812764 | 6.9452922027465 |
78 | 6.50000000043707 | 5.87028254340987 | 7.12971745746427 |
79 | 6.50000000043707 | 5.7287652722693 | 7.27123472860484 |
80 | 6.50000000043707 | 5.60945975082494 | 7.3905402500492 |
81 | 6.50000000043707 | 5.50434902422781 | 7.49565097664633 |
82 | 6.50000000043707 | 5.40932140585768 | 7.59067859501646 |
83 | 6.50000000043707 | 5.32193432870188 | 7.67806567217226 |
84 | 6.50000000043707 | 5.24059630933238 | 7.75940369154176 |
85 | 6.50000000043707 | 5.1642018916589 | 7.83579810921524 |
86 | 6.50000000043707 | 5.09194619547699 | 7.90805380539715 |
87 | 6.50000000043707 | 5.02322159867539 | 7.97677840219875 |
88 | 6.50000000043707 | 4.95755603770877 | 8.04244396316537 |