Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999935045734029 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 75.5 | 78.21 | -2.70999999999999 |
3 | 79.87 | 75.5001760260608 | 4.36982397393922 |
4 | 85.76 | 79.8697161612914 | 5.89028383870864 |
5 | 77.02 | 85.7596174009369 | -8.73961740093691 |
6 | 75.47 | 77.0205676754331 | -1.55056767543314 |
7 | 75.29 | 75.4701007159852 | -0.180100715985191 |
8 | 77.52 | 75.2900116983098 | 2.22998830169018 |
9 | 78.44 | 77.5198551527467 | 0.920144847253269 |
10 | 83.5 | 78.4399402326669 | 5.06005976733314 |
11 | 86.29 | 83.499671327532 | 2.79032867246796 |
12 | 92.14 | 86.2898187562493 | 5.85018124375074 |
13 | 96.91 | 92.1396200057715 | 4.77037999422848 |
14 | 104.23 | 96.9096901434691 | 7.32030985653093 |
15 | 114.6 | 104.229524514647 | 10.3704754853534 |
16 | 122.09 | 114.599326393377 | 7.49067360662292 |
17 | 114.52 | 122.089513448794 | -7.56951344879427 |
18 | 113.77 | 114.52049167219 | -0.750491672189824 |
19 | 117.03 | 113.770048747636 | 3.25995125236432 |
20 | 109.84 | 117.029788252259 | -7.18978825225931 |
21 | 109.9 | 109.840467007418 | 0.0595329925815946 |
22 | 108.74 | 109.899996133078 | -1.15999613307818 |
23 | 110.49 | 108.740075346697 | 1.74992465330264 |
24 | 107.82 | 110.489886334929 | -2.66988633492865 |
25 | 111.26 | 107.820173420507 | 3.4398265794929 |
26 | 119.06 | 111.259776568589 | 7.80022343141054 |
27 | 124.54 | 119.059493342213 | 5.48050665778739 |
28 | 120.6 | 124.539644017713 | -3.93964401771291 |
29 | 110.28 | 120.600255896685 | -10.3202558966854 |
30 | 95.93 | 110.280670344646 | -14.3506703446464 |
31 | 102.72 | 95.9309321372584 | 6.78906786274156 |
32 | 112.68 | 102.71955902108 | 9.96044097891965 |
33 | 113.03 | 112.679353026867 | 0.350646973132527 |
34 | 111.48 | 113.029977223983 | -1.54997722398323 |
35 | 109.56 | 111.480100677633 | -1.92010067763286 |
36 | 109.16 | 109.56012471873 | -0.400124718730112 |
37 | 112.32 | 109.160025989807 | 3.1599740101926 |
38 | 116.08 | 112.319794746208 | 3.76020525379234 |
39 | 109.63 | 116.079755758628 | -6.44975575862784 |
40 | 109.63 | 109.630418939151 | -0.000418939151003883 |
41 | 103.27 | 109.630000027212 | -6.3600000272119 |
42 | 103.32 | 103.270413109133 | 0.0495868908666495 |
43 | 107.38 | 103.31999677912 | 4.06000322088011 |
44 | 110.45 | 107.379736285471 | 3.07026371452905 |
45 | 111.24 | 110.449800573274 | 0.790199426725906 |
46 | 109.44 | 111.239948673176 | -1.79994867317626 |
47 | 107.94 | 109.440116914345 | -1.50011691434484 |
48 | 110.58 | 107.940097438993 | 2.63990256100696 |
49 | 107.31 | 110.579828527067 | -3.26982852706691 |
50 | 108.7 | 107.310212389312 | 1.38978761068817 |
51 | 107.7 | 108.699909727366 | -0.999909727365889 |
52 | 108.08 | 107.700064948402 | 0.379935051597627 |
53 | 109.32 | 108.079975321598 | 1.24002467840239 |
54 | 111.95 | 109.319919455107 | 2.63008054489279 |
55 | 108.07 | 111.949829165049 | -3.87982916504878 |
56 | 103.38 | 108.070252011455 | -4.6902520114555 |
57 | 98.54 | 103.380304651877 | -4.84030465187661 |
58 | 88.16 | 98.5403143984358 | -10.3803143984358 |
59 | 79.7 | 88.1606742457023 | -8.46067424570229 |
60 | 63.3 | 79.7005495568852 | -16.4005495568853 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 63.301065285658 | 52.2620862811638 | 74.3400442901521 |
62 | 63.301065285658 | 47.6900984704284 | 78.9120321008875 |
63 | 63.301065285658 | 44.1818207307407 | 82.4203098405752 |
64 | 63.301065285658 | 41.224182811104 | 85.3779477602119 |
65 | 63.301065285658 | 38.6184404811563 | 87.9836900901597 |
66 | 63.301065285658 | 36.2626630642926 | 90.3394675070234 |
67 | 63.301065285658 | 34.0962981725843 | 92.5058323987317 |
68 | 63.301065285658 | 32.0798921883286 | 94.5222383829874 |
69 | 63.301065285658 | 30.1860403420174 | 96.4160902292986 |
70 | 63.301065285658 | 28.3947892817289 | 98.207341289587 |
71 | 63.301065285658 | 26.6910757758669 | 99.911054795449 |
72 | 63.301065285658 | 25.0631971527254 | 101.538933418591 |