Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.837256207348513 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 157 | 158.906178603059 | -1.90617860305909 |
14 | 157 | 157.431844504105 | -0.431844504104788 |
15 | 147 | 147.132924301797 | -0.132924301797033 |
16 | 137 | 136.909521451706 | 0.0904785482941293 |
17 | 132 | 131.795644965744 | 0.20435503425594 |
18 | 125 | 124.946407783027 | 0.0535922169731577 |
19 | 123 | 123.978412132794 | -0.978412132794162 |
20 | 117 | 118.392756452051 | -1.39275645205112 |
21 | 114 | 112.393465096920 | 1.6065349030804 |
22 | 111 | 108.784773901927 | 2.21522609807320 |
23 | 112 | 111.570279367648 | 0.429720632352101 |
24 | 144 | 147.652982354818 | -3.65298235481836 |
25 | 150 | 152.164591695020 | -2.16459169502025 |
26 | 149 | 150.684660732368 | -1.68466073236763 |
27 | 134 | 139.857094564603 | -5.85709456460339 |
28 | 123 | 125.679901575758 | -2.67990157575771 |
29 | 116 | 118.749874893847 | -2.74987489384704 |
30 | 117 | 110.202101708307 | 6.79789829169296 |
31 | 111 | 114.779133267667 | -3.77913326766672 |
32 | 105 | 107.203544782240 | -2.20354478224027 |
33 | 102 | 101.419260975123 | 0.580739024877204 |
34 | 95 | 97.5360567028293 | -2.53605670282933 |
35 | 93 | 95.930342754738 | -2.93034275473806 |
36 | 124 | 122.676377901057 | 1.32362209894310 |
37 | 130 | 130.451363345676 | -0.451363345676242 |
38 | 124 | 130.384226756879 | -6.38422675687943 |
39 | 115 | 116.488835101663 | -1.48883510166277 |
40 | 106 | 107.665375326701 | -1.66537532670129 |
41 | 105 | 102.167570671125 | 2.83242932887478 |
42 | 105 | 100.236132388576 | 4.76386761142398 |
43 | 101 | 101.654950790650 | -0.654950790650176 |
44 | 95 | 97.2941041902427 | -2.29410419024268 |
45 | 93 | 92.1843726317706 | 0.8156273682294 |
46 | 84 | 88.3983956037706 | -4.39839560377061 |
47 | 87 | 85.0840810496644 | 1.91591895033561 |
48 | 116 | 114.528763116401 | 1.47123688359866 |
49 | 120 | 121.693115513950 | -1.69311551394961 |
50 | 117 | 119.604682370739 | -2.60468237073938 |
51 | 109 | 110.063161084503 | -1.06316108450297 |
52 | 105 | 101.935071882057 | 3.06492811794340 |
53 | 107 | 101.163223109654 | 5.83677689034555 |
54 | 109 | 101.994307920580 | 7.00569207941987 |
55 | 109 | 104.320596202825 | 4.67940379717521 |
56 | 108 | 103.876450472356 | 4.12354952764403 |
57 | 107 | 104.327885318669 | 2.67211468133128 |
58 | 99 | 100.469523285408 | -1.46952328540777 |
59 | 103 | 100.923390417182 | 2.07660958281848 |
60 | 131 | 135.481192586871 | -4.48119258687078 |
61 | 137 | 137.92127557445 | -0.921275574449965 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 136.250293428768 | 130.250961460929 | 142.249625396608 |
63 | 128.018483184182 | 120.378422752515 | 135.658543615849 |
64 | 120.341758085133 | 111.495253126718 | 129.188263043548 |
65 | 117.023275329465 | 107.017206971342 | 127.029343687588 |
66 | 112.752794770666 | 101.828422999044 | 123.677166542287 |
67 | 108.680407768387 | 96.960780387749 | 120.400035149024 |
68 | 104.218745004152 | 91.8512903084259 | 116.586199699877 |
69 | 101.077596396723 | 88.0246107745957 | 114.13058201885 |
70 | 94.6673400490953 | 81.3753571888381 | 107.959322909352 |
71 | 96.8140992380954 | 82.3106694200394 | 111.317529056151 |
72 | 126.621291845258 | 107.152381317610 | 146.090202372906 |
73 | 133.154775984433 | 100.420396587777 | 165.889155381090 |