Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.55295284543749 |
beta | 0 |
gamma | 0.87258335845831 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 98.0031578 | 96.6849941902412 | 1.31816360975880 |
14 | 103.0649206 | 102.729919771101 | 0.335000828898856 |
15 | 100.2879168 | 99.6531597024275 | 0.634757097572475 |
16 | 104.6066685 | 104.261594293772 | 0.345074206227878 |
17 | 111.1544534 | 110.849694786215 | 0.304758613785467 |
18 | 104.9874617 | 104.457056566090 | 0.530405133909838 |
19 | 109.9284852 | 118.600549445868 | -8.67206424586843 |
20 | 111.5352466 | 106.080399369838 | 5.45484723016195 |
21 | 132.4974459 | 119.735807310015 | 12.7616385899850 |
22 | 100.3436426 | 115.790977365521 | -15.4473347655211 |
23 | 123.0983561 | 106.713004957561 | 16.3853511424389 |
24 | 114.2379493 | 124.582167311732 | -10.3442180117317 |
25 | 104.569518 | 102.222365040111 | 2.34715295988909 |
26 | 109.0833101 | 108.719398124416 | 0.363911975583534 |
27 | 106.9843039 | 105.581063343598 | 1.40324055640188 |
28 | 133.6769759 | 110.737731176471 | 22.9392447235295 |
29 | 124.8537197 | 130.903104883016 | -6.04938518301611 |
30 | 122.5132349 | 120.089655804670 | 2.42357909532954 |
31 | 116.8013374 | 133.091280991619 | -16.2899435916185 |
32 | 116.0118882 | 121.495298450408 | -5.4834102504085 |
33 | 129.7575926 | 132.515410863898 | -2.75781826389837 |
34 | 125.1973623 | 108.639837588287 | 16.5575247117133 |
35 | 143.7912139 | 130.993220380299 | 12.7979935197014 |
36 | 127.9465032 | 135.985594812993 | -8.03909161299299 |
37 | 130.2962757 | 118.100347984874 | 12.1959277151264 |
38 | 108.4424631 | 130.083515431763 | -21.6410523317633 |
39 | 129.3675118 | 114.914096618064 | 14.4534151819358 |
40 | 143.6797622 | 136.501962569653 | 7.17779963034687 |
41 | 131.8844618 | 136.327549068236 | -4.44308726823581 |
42 | 117.6186496 | 129.389904257857 | -11.7712546578571 |
43 | 118.9560695 | 126.796296925452 | -7.8402274254519 |
44 | 104.8202842 | 124.085632563013 | -19.2653483630133 |
45 | 134.624315 | 128.167866338530 | 6.45644866147046 |
46 | 140.401226 | 116.201225937770 | 24.2000000622302 |
47 | 143.8005015 | 141.537651688209 | 2.26284981179072 |
48 | 153.4317823 | 132.490592719048 | 20.9411895809517 |
49 | 153.2924677 | 137.526868906653 | 15.7655987933468 |
50 | 127.3149438 | 136.266407416698 | -8.95146361669761 |
51 | 153.5525216 | 143.849087598108 | 9.70343400189162 |
52 | 136.9276493 | 161.564637853673 | -24.6369885536727 |
53 | 131.7730101 | 138.940612081119 | -7.16760198111947 |
54 | 144.3391845 | 127.226253257054 | 17.1129312429455 |
55 | 107.4208229 | 142.819436773032 | -35.3986138730316 |
56 | 113.6249652 | 119.585715351972 | -5.96075015197157 |
57 | 124.2221603 | 143.378525102862 | -19.1563648028615 |
58 | 102.0618557 | 123.304085676272 | -21.2422299762719 |
59 | 96.36853348 | 114.336595284823 | -17.9680618048235 |
60 | 111.6838488 | 101.81360122127 | 9.87024757872994 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 101.059596891796 | 75.9540972253128 | 126.165096558279 |
62 | 88.0403960322358 | 59.8646351150197 | 116.216156949452 |
63 | 101.674522717695 | 67.9879186353936 | 135.361126799996 |
64 | 100.48070462375 | 63.9988507218644 | 136.962558525636 |
65 | 98.904363087092 | 59.9893066988752 | 137.819419475309 |
66 | 99.9121345935185 | 58.1063903635552 | 141.717878823482 |
67 | 88.4510747159663 | 47.5804235382225 | 129.32172589371 |
68 | 94.768502365894 | 49.3206767130205 | 140.216328018767 |
69 | 112.567952337536 | 58.2646839814761 | 166.871220693595 |
70 | 102.562998970744 | 50.3714650725433 | 154.754532868944 |
71 | 105.930266470035 | 50.4139746882573 | 161.446558251813 |
72 | 114.688153885615 | -2.35476202226654 | 231.731069793497 |