Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.220599106985876 |
beta | 0.080087863820834 |
gamma | 0.699236496119895 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 91 | 89.931623931624 | 1.068376068376 |
14 | 93 | 92.2188161033875 | 0.781183896612546 |
15 | 94 | 93.4564553575631 | 0.543544642436885 |
16 | 90 | 89.6512745768532 | 0.348725423146774 |
17 | 91 | 90.6426112242654 | 0.357388775734634 |
18 | 93 | 92.3921730982562 | 0.607826901743778 |
19 | 93 | 93.2910533995859 | -0.291053399585948 |
20 | 92 | 92.3198327114907 | -0.319832711490747 |
21 | 92 | 92.2949460821646 | -0.294946082164614 |
22 | 92 | 92.187005183478 | -0.18700518347795 |
23 | 94 | 90.2662387385356 | 3.73376126146437 |
24 | 93 | 88.2763553923472 | 4.72364460765277 |
25 | 95 | 96.1288763798494 | -1.12887637984939 |
26 | 98 | 97.9316271512966 | 0.0683728487034188 |
27 | 98 | 99.0267036218215 | -1.0267036218215 |
28 | 95 | 94.885404408672 | 0.114595591327969 |
29 | 97 | 95.9421277733084 | 1.0578722266916 |
30 | 100 | 98.1073906369762 | 1.89260936302384 |
31 | 100 | 98.9472044848127 | 1.05279551518727 |
32 | 100 | 98.4278820129993 | 1.57211798700068 |
33 | 98 | 99.0384772082916 | -1.03847720829158 |
34 | 98 | 99.0167603780397 | -1.01676037803971 |
35 | 98 | 99.2264723312487 | -1.22647233124874 |
36 | 99 | 96.7709646103469 | 2.22903538965309 |
37 | 97 | 100.928691235161 | -3.92869123516094 |
38 | 100 | 102.761877247494 | -2.76187724749383 |
39 | 104 | 102.581387681856 | 1.41861231814418 |
40 | 96 | 99.5903021776202 | -3.5903021776202 |
41 | 99 | 100.267132573849 | -1.26713257384921 |
42 | 102 | 102.25667658371 | -0.25667658370989 |
43 | 101 | 102.008956807927 | -1.00895680792709 |
44 | 101 | 101.12569458572 | -0.125694585720368 |
45 | 99 | 99.7168791316949 | -0.716879131694924 |
46 | 99 | 99.5614856270227 | -0.561485627022719 |
47 | 101 | 99.5489279988135 | 1.45107200118646 |
48 | 102 | 99.4061781488622 | 2.59382185113782 |
49 | 103 | 100.133841317162 | 2.86615868283845 |
50 | 102 | 104.067245648232 | -2.06724564823169 |
51 | 104 | 106.295953601346 | -2.29595360134643 |
52 | 103 | 99.667681766467 | 3.33231823353303 |
53 | 103 | 103.172063608824 | -0.172063608823976 |
54 | 102 | 106.00754339405 | -4.00754339404985 |
55 | 101 | 104.509816793309 | -3.50981679330886 |
56 | 101 | 103.49946166263 | -2.4994616626297 |
57 | 103 | 101.146099618316 | 1.85390038168381 |
58 | 103 | 101.589215096593 | 1.41078490340675 |
59 | 103 | 103.090108231866 | -0.0901082318656137 |
60 | 103 | 103.184483863683 | -0.184483863683155 |
61 | 103 | 103.352916028415 | -0.352916028415379 |
62 | 104 | 103.735930005924 | 0.264069994075783 |
63 | 98 | 106.243838380735 | -8.24383838073506 |
64 | 102 | 101.155268964549 | 0.844731035451048 |
65 | 103 | 101.94157852196 | 1.05842147804009 |
66 | 103 | 102.720485216679 | 0.279514783321318 |
67 | 102 | 102.277738474124 | -0.277738474124064 |
68 | 103 | 102.426112861722 | 0.573887138278224 |
69 | 102 | 103.072653015336 | -1.07265301533589 |
70 | 102 | 102.526382356619 | -0.526382356619422 |
71 | 103 | 102.645448978627 | 0.354551021372743 |
72 | 103 | 102.657814546931 | 0.342185453068694 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 102.731273085379 | 98.70457354848 | 106.757972622279 |
74 | 103.415260256031 | 99.2758388159916 | 107.55468169607 |
75 | 101.110434264347 | 96.844654061997 | 105.376214466696 |
76 | 102.821440048205 | 98.4156888227455 | 107.227191273665 |
77 | 103.550789588348 | 98.9915987273978 | 108.109980449298 |
78 | 103.665945787005 | 98.9400876487177 | 108.391803925293 |
79 | 102.847134315308 | 97.9416977963787 | 107.752570834238 |
80 | 103.515099061855 | 98.4175447196896 | 108.612653404021 |
81 | 103.121758439403 | 97.8199553777902 | 108.423561501017 |
82 | 103.112833392315 | 97.595080606051 | 108.630586178578 |
83 | 103.840424913353 | 98.0954599299466 | 109.585389896759 |
84 | 103.773883283825 | 97.7908808330874 | 109.756885734563 |