Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.445417135362361 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 80 | 47.875 | 32.125 |
14 | 42 | 62.1840254735159 | -20.1840254735159 |
15 | 54 | 53.1937146670215 | 0.806285332978497 |
16 | 66 | 53.5528479703215 | 12.4471520296785 |
17 | 81 | 59.0970227708007 | 21.9029772291993 |
18 | 63 | 68.8529841441377 | -5.85298414413768 |
19 | 137 | 66.2459647133345 | 70.7540352866655 |
20 | 72 | 97.7610244260485 | -25.7610244260485 |
21 | 107 | 86.2866227221982 | 20.7133772778018 |
22 | 58 | 95.5127158929565 | -37.5127158929565 |
23 | 36 | 78.8039094402537 | -42.8039094402537 |
24 | 52 | 59.738314715066 | -7.73831471506595 |
25 | 79 | 56.2915367421489 | 22.7084632578511 |
26 | 77 | 66.4062753949424 | 10.5937246050576 |
27 | 54 | 71.1249018613449 | -17.1249018613449 |
28 | 84 | 63.4971771309031 | 20.5028228690969 |
29 | 48 | 72.6294857600981 | -24.6294857600981 |
30 | 96 | 61.6590907673872 | 34.3409092326128 |
31 | 83 | 76.9551201835164 | 6.04487981648356 |
32 | 66 | 79.6476132349843 | -13.6476132349843 |
33 | 61 | 73.5687324433242 | -12.5687324433242 |
34 | 53 | 67.9704036432827 | -14.9704036432827 |
35 | 30 | 61.3023293372735 | -31.3023293372735 |
36 | 74 | 47.3597354736959 | 26.6402645263041 |
37 | 69 | 59.2257657842978 | 9.77423421570218 |
38 | 59 | 63.5793771890167 | -4.57937718901666 |
39 | 42 | 61.5396441197411 | -19.5396441197411 |
40 | 65 | 52.836351809926 | 12.1636481900740 |
41 | 70 | 58.2542491423043 | 11.7457508576957 |
42 | 100 | 63.4860078420191 | 36.5139921579809 |
43 | 63 | 79.7499656296707 | -16.7499656296707 |
44 | 105 | 72.2892439214848 | 32.7107560785152 |
45 | 82 | 86.859175189514 | -4.85917518951398 |
46 | 81 | 84.6948152963768 | -3.6948152963768 |
47 | 75 | 83.0490812513716 | -8.04908125137162 |
48 | 102 | 79.4638825380868 | 22.5361174619132 |
49 | 121 | 89.5018554201619 | 31.4981445798381 |
50 | 98 | 103.531668748143 | -5.53166874814286 |
51 | 76 | 101.067768700572 | -25.0677687005716 |
52 | 77 | 89.9021549760367 | -12.9021549760367 |
53 | 63 | 84.1553140666092 | -21.1553140666092 |
54 | 37 | 74.732374677369 | -37.7323746773691 |
55 | 35 | 57.925728438156 | -22.9257284381560 |
56 | 23 | 47.7142161511371 | -24.7142161511371 |
57 | 40 | 36.7060807903714 | 3.29391920962857 |
58 | 29 | 38.1732488488392 | -9.17324884883924 |
59 | 37 | 34.0873266246232 | 2.91267337537681 |
60 | 51 | 35.3846812557297 | 15.6153187442703 |
61 | 20 | 42.3400117985728 | -22.3400117985728 |
62 | 28 | 32.3893877392911 | -4.38938773929114 |
63 | 13 | 30.4342792264614 | -17.4342792264614 |
64 | 22 | 22.6687525163034 | -0.668752516303439 |
65 | 25 | 22.3708786862252 | 2.62912131377481 |
66 | 13 | 23.5419343703269 | -10.5419343703269 |
67 | 16 | 18.8463761619179 | -2.84637616191787 |
68 | 13 | 17.5785514457127 | -4.5785514457127 |
69 | 16 | 15.5391861766541 | 0.46081382334585 |
70 | 17 | 15.7444405497842 | 1.25555945021576 |
71 | 9 | 16.3036882433765 | -7.30368824337648 |
72 | 17 | 13.0505003484320 | 3.94949965156803 |
73 | 25 | 14.8096751693480 | 10.1903248306520 |
74 | 14 | 19.3486204638290 | -5.34862046382898 |
75 | 8 | 16.9662532586898 | -8.96625325868977 |
76 | 7 | 12.9725304172707 | -5.97253041727074 |
77 | 10 | 10.3122630279454 | -0.312263027945436 |
78 | 7 | 10.1731757245584 | -3.1731757245584 |
79 | 10 | 8.75978888332421 | 1.24021111667579 |
80 | 3 | 9.3122001661585 | -6.3122001661585 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 6.50063805031436 | NA | NA |
82 | 6.50063805031436 | NA | NA |
83 | 6.50063805031436 | NA | NA |
84 | 6.50063805031436 | NA | NA |
85 | 6.50063805031436 | NA | NA |
86 | 6.50063805031436 | NA | NA |
87 | 6.50063805031436 | NA | NA |
88 | 6.50063805031436 | NA | NA |
89 | 6.50063805031436 | NA | NA |
90 | 6.50063805031436 | NA | NA |
91 | 6.50063805031436 | NA | NA |
92 | 6.50063805031436 | NA | NA |