Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0139967457219063 |
beta | 0.847436182319472 |
gamma | 0.541338263720888 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 81.1 | 81.2302933216304 | -0.130293321630418 |
14 | 78 | 77.9558806642367 | 0.0441193357632983 |
15 | 111.9 | 112.620478056834 | -0.720478056834409 |
16 | 117.6 | 119.595572747763 | -1.99557274776254 |
17 | 101 | 102.824770834374 | -1.8247708343736 |
18 | 98.3 | 99.5280894658857 | -1.22808946588569 |
19 | 91 | 88.855406879322 | 2.14459312067804 |
20 | 86.8 | 87.1664294673046 | -0.366429467304556 |
21 | 108.8 | 126.824045205571 | -18.0240452055706 |
22 | 110.1 | 116.638401480528 | -6.53840148052809 |
23 | 93.8 | 89.5268357927358 | 4.2731642072642 |
24 | 100.6 | 92.0265860943341 | 8.57341390566586 |
25 | 75.7 | 77.7477073283794 | -2.04770732837945 |
26 | 69 | 74.5587739469819 | -5.55877394698187 |
27 | 116 | 106.936390268901 | 9.06360973109861 |
28 | 94.5 | 112.920850512344 | -18.4208505123442 |
29 | 105.1 | 96.5265552813109 | 8.57344471868907 |
30 | 95.3 | 93.6652365405518 | 1.63476345944822 |
31 | 79.7 | 85.1619451307097 | -5.46194513070972 |
32 | 76.1 | 81.9778720266608 | -5.87787202666077 |
33 | 111.1 | 109.970176089579 | 1.12982391042125 |
34 | 106.3 | 106.228692136086 | 0.0713078639142566 |
35 | 89.5 | 86.1745634583687 | 3.32543654163126 |
36 | 96.8 | 90.5566941877034 | 6.24330581229664 |
37 | 67.8 | 71.7337317490812 | -3.93373174908125 |
38 | 62.5 | 66.8464832183766 | -4.34648321837656 |
39 | 90.1 | 104.201390827916 | -14.1013908279162 |
40 | 93.6 | 95.3749338024034 | -1.77493380240345 |
41 | 94.2 | 93.4907726183656 | 0.709227381634363 |
42 | 93.2 | 87.0027451098478 | 6.19725489015218 |
43 | 81 | 75.511136068073 | 5.48886393192699 |
44 | 73.7 | 72.4135857567428 | 1.28641424325721 |
45 | 97.7 | 101.645975462185 | -3.94597546218451 |
46 | 97.5 | 97.5188083476808 | -0.0188083476808174 |
47 | 82.7 | 80.6218472997818 | 2.07815270021817 |
48 | 88.8 | 85.9432001424354 | 2.85679985756458 |
49 | 68.5 | 63.6030970654698 | 4.89690293453022 |
50 | 61.1 | 59.0395858129381 | 2.06041418706186 |
51 | 89.6 | 88.6641350311297 | 0.935864968870291 |
52 | 87.6 | 87.0418020829201 | 0.558197917079895 |
53 | 90.8 | 86.8355702299306 | 3.96442977006942 |
54 | 84.3 | 83.8953628048766 | 0.404637195123371 |
55 | 75 | 73.0165159660422 | 1.98348403395775 |
56 | 78.4 | 68.1706483955447 | 10.2293516044553 |
57 | 83.5 | 93.37569854674 | -9.87569854674004 |
58 | 93 | 91.6872664696736 | 1.31273353032635 |
59 | 79.3 | 77.1367356539115 | 2.16326434608845 |
60 | 83.9 | 82.8489059895272 | 1.05109401047284 |
61 | 65 | 62.9109466716881 | 2.08905332831195 |
62 | 60.3 | 57.2678105180166 | 3.03218948198338 |
63 | 80.6 | 85.1926904328103 | -4.59269043281026 |
64 | 86.5 | 83.5719552961652 | 2.92804470383477 |
65 | 78.7 | 85.3794124609319 | -6.6794124609319 |
66 | 80.7 | 80.6967787976175 | 0.00322120238250534 |
67 | 70.6 | 71.1495631168392 | -0.549563116839167 |
68 | 67.2 | 70.7347790602851 | -3.53477906028509 |
69 | 88 | 84.2757481150021 | 3.72425188499793 |
70 | 89.1 | 88.5851184947796 | 0.514881505220359 |
71 | 69 | 75.0677273225316 | -6.06772732253161 |
72 | 84.1 | 79.758755788997 | 4.34124421100304 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 61.215552261321 | 55.1534959681464 | 67.2776085544955 |
74 | 56.2123674735561 | 50.1445695459989 | 62.2801654011133 |
75 | 78.7878196254493 | 72.6882773518463 | 84.8873618990522 |
76 | 81.0389275233421 | 74.8951741435953 | 87.182680903089 |
77 | 77.717005546966 | 71.5235620059971 | 83.9104490879348 |
78 | 76.6975368830809 | 70.4325616476328 | 82.9625121185289 |
79 | 67.301263854769 | 61.0065808295061 | 73.5959468800319 |
80 | 65.3646969379837 | 58.9913327502252 | 71.7380611257423 |
81 | 81.9616636541052 | 75.2432776505733 | 88.6800496576371 |
82 | 84.3379002750092 | 77.3671522838567 | 91.3086482661617 |
83 | 68.1276504628278 | 61.2873183743303 | 74.9679825513254 |
84 | 77.9698498623894 | 57.0149973927935 | 98.9247023319854 |