Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0891527488222475 |
beta | 0 |
gamma | 0.387141299341678 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 93.6 | 93.6828978169662 | -0.082897816966252 |
14 | 107.4 | 106.85352354983 | 0.546476450170047 |
15 | 96.5 | 96.0847495543388 | 0.415250445661215 |
16 | 93.6 | 93.4780972449641 | 0.121902755035862 |
17 | 76.5 | 76.2774461229164 | 0.222553877083556 |
18 | 76.7 | 76.6401496533908 | 0.0598503466091529 |
19 | 84 | 83.284868150639 | 0.715131849361029 |
20 | 103.3 | 90.6426954627715 | 12.6573045372285 |
21 | 88.5 | 103.001433309035 | -14.5014333090347 |
22 | 99 | 91.8761039562127 | 7.12389604378734 |
23 | 105.9 | 111.102212407489 | -5.20221240748862 |
24 | 44.7 | 44.8489009079516 | -0.148900907951578 |
25 | 94 | 94.9425007726662 | -0.94250077266625 |
26 | 107.1 | 108.430680469889 | -1.33068046988868 |
27 | 104.8 | 97.3238835152013 | 7.47611648479868 |
28 | 102.5 | 95.1927975968834 | 7.30720240311659 |
29 | 77.7 | 78.2420728597341 | -0.542072859734134 |
30 | 85.2 | 78.4845727511662 | 6.71542724883379 |
31 | 91.3 | 86.1679965409424 | 5.1320034590576 |
32 | 106.5 | 98.487389579751 | 8.01261042024896 |
33 | 92.4 | 100.836755634577 | -8.43675563457685 |
34 | 97.5 | 97.777473127026 | -0.277473127025885 |
35 | 107 | 112.395987350937 | -5.39598735093736 |
36 | 51.1 | 46.0761894680138 | 5.02381053198618 |
37 | 98.6 | 98.2849316760285 | 0.315068323971445 |
38 | 102.2 | 112.282634052712 | -10.0826340527121 |
39 | 114.3 | 103.221150469854 | 11.0788495301457 |
40 | 99.4 | 101.229113249806 | -1.82911324980645 |
41 | 72.5 | 80.1467947217325 | -7.64679472173252 |
42 | 92.3 | 82.3490672940105 | 9.95093270598949 |
43 | 99.4 | 89.8943486584906 | 9.50565134150943 |
44 | 85.9 | 103.932416067746 | -18.0324160677456 |
45 | 109.4 | 98.1245225985606 | 11.2754774014394 |
46 | 97.6 | 99.7100950694742 | -2.11009506947426 |
47 | 104.7 | 112.595805599851 | -7.89580559985058 |
48 | 56.9 | 48.6472934866579 | 8.25270651334211 |
49 | 86.7 | 100.609831659968 | -13.9098316599678 |
50 | 108.5 | 109.742063010662 | -1.24206301066177 |
51 | 103.4 | 108.880110355078 | -5.48011035507831 |
52 | 86.2 | 100.839641963244 | -14.6396419632436 |
53 | 71 | 76.744148221227 | -5.74414822122696 |
54 | 75.9 | 85.2212656499404 | -9.32126564994044 |
55 | 87.1 | 90.6863277515733 | -3.58632775157328 |
56 | 102 | 93.6156540199694 | 8.38434598003062 |
57 | 88.5 | 100.356814159878 | -11.856814159878 |
58 | 87.8 | 95.3141764528612 | -7.51417645286118 |
59 | 100.8 | 105.202842870332 | -4.4028428703316 |
60 | 50.6 | 49.486674476101 | 1.11332552389902 |
61 | 85.9 | 90.6958197761224 | -4.79581977612244 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 104.451596059448 | 97.9257210369499 | 110.977471081946 |
63 | 102.298614066857 | 95.6466961243565 | 108.950532009358 |
64 | 91.8759575992854 | 85.1438379345507 | 98.60807726402 |
65 | 72.730527994489 | 65.9938368804723 | 79.4672191085057 |
66 | 80.2741889311909 | 73.3389747162 | 87.2094031461818 |
67 | 88.5038005105708 | 81.3358680222301 | 95.6717329989115 |
68 | 95.9011285733948 | 88.4898251123848 | 103.312432034405 |
69 | 94.7311269793395 | 87.227866820326 | 102.234387138353 |
70 | 92.2685028300905 | 84.7042663026629 | 99.8327393575181 |
71 | 103.952851075344 | 95.995044678344 | 111.910657472345 |
72 | 50.2139759986585 | 43.2985749836182 | 57.1293770136988 |
73 | 89.4156253643006 | -1.62654105975824 | 180.457791788359 |