Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.623322017241314 |
beta | 0.395355498337461 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 39 | 45.8392094017094 | -6.83920940170941 |
14 | 19 | 19.8960120850976 | -0.89601208509757 |
15 | 14 | 12.2281995243007 | 1.77180047569934 |
16 | 15 | 12.5765914377821 | 2.42340856221786 |
17 | 7 | 4.92835476703561 | 2.07164523296439 |
18 | 12 | 10.404712981205 | 1.59528701879499 |
19 | 12 | 13.2689459200521 | -1.26894592005214 |
20 | 14 | 12.2017949240138 | 1.79820507598615 |
21 | 9 | 4.15627182690693 | 4.84372817309307 |
22 | 8 | 9.6610819392656 | -1.6610819392656 |
23 | 4 | 4.03528731155333 | -0.0352873115533328 |
24 | 7 | 6.41419028499641 | 0.585809715003589 |
25 | 3 | 32.4984204152193 | -29.4984204152193 |
26 | 5 | -9.83240206845518 | 14.8324020684552 |
27 | 0 | -7.31774050320634 | 7.31774050320634 |
28 | -2 | -2.52658760856032 | 0.52658760856032 |
29 | 6 | -11.2166887780162 | 17.2166887780162 |
30 | 11 | 7.5256925757385 | 3.4743074242615 |
31 | 9 | 14.9505386295644 | -5.95053862956441 |
32 | 17 | 15.4351452634647 | 1.56485473653527 |
33 | 21 | 11.6484150424500 | 9.35158495754996 |
34 | 21 | 21.8808047890448 | -0.880804789044824 |
35 | 41 | 21.9140137834714 | 19.0859862165286 |
36 | 57 | 45.7179476168615 | 11.2820523831385 |
37 | 65 | 79.0455962674453 | -14.0455962674453 |
38 | 68 | 78.761684143413 | -10.7616841434130 |
39 | 73 | 71.9015131710862 | 1.09848682891376 |
40 | 71 | 78.13448878202 | -7.1344887820201 |
41 | 71 | 76.9444138328207 | -5.94441383282071 |
42 | 70 | 76.3543894470259 | -6.35438944702591 |
43 | 69 | 71.961409300004 | -2.96140930000405 |
44 | 65 | 75.7354606891368 | -10.7354606891368 |
45 | 57 | 62.778920986599 | -5.77892098659897 |
46 | 57 | 51.5613075527530 | 5.43869244724695 |
47 | 57 | 56.4474767399983 | 0.552523260001699 |
48 | 55 | 54.5850814143248 | 0.414918585675196 |
49 | 65 | 57.7461661814892 | 7.25383381851085 |
50 | 65 | 63.3720618694555 | 1.6279381305445 |
51 | 64 | 63.1517287464996 | 0.848271253500378 |
52 | 60 | 60.515545486921 | -0.515545486920971 |
53 | 43 | 59.9185965680545 | -16.9185965680545 |
54 | 47 | 45.6484021793069 | 1.35159782069307 |
55 | 40 | 42.5505186056832 | -2.55051860568317 |
56 | 31 | 38.9673546934143 | -7.9673546934143 |
57 | 27 | 25.6003921006072 | 1.39960789939278 |
58 | 24 | 20.8489101490319 | 3.15108985096805 |
59 | 23 | 19.6710797246676 | 3.32892027533239 |
60 | 17 | 17.3740649723405 | -0.374064972340499 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 20.3116193410594 | 4.07038736605725 | 36.5528513160616 |
62 | 15.2014915555701 | -6.3233506043323 | 36.7263337154726 |
63 | 9.17616834254956 | -18.9655067310144 | 37.3178434161135 |
64 | 0.79189943412365 | -35.0092315262165 | 36.5930303944638 |
65 | -10.2409387589134 | -54.5654055966592 | 34.0835280788325 |
66 | -7.4926775549548 | -61.0912246186639 | 46.1058695087543 |
67 | -13.6452206377149 | -77.1920290774127 | 49.9015878019829 |
68 | -17.7927965650271 | -91.9067252910435 | 56.3211321609893 |
69 | -20.8155811236241 | -106.073279758424 | 64.4421175111759 |
70 | -24.2750136200530 | -121.219520029263 | 72.6694927891567 |
71 | -26.6218267396906 | -135.768512876446 | 82.5248593970644 |
72 | -32.4808460541769 | -154.321720623404 | 89.36002851505 |