Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.538234095178943 |
beta | 0.0232178286592899 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 94.3 | 94.4541327487931 | -0.154132748793131 |
14 | 99.9 | 100.182665505570 | -0.282665505570307 |
15 | 103.4 | 103.576391634863 | -0.17639163486308 |
16 | 103.3 | 103.381132655799 | -0.0811326557986831 |
17 | 98.8 | 99.1066978574685 | -0.306697857468507 |
18 | 104.2 | 104.339706776836 | -0.139706776835723 |
19 | 91.2 | 90.9028578246663 | 0.29714217533369 |
20 | 74.7 | 80.5651648994184 | -5.8651648994184 |
21 | 108.5 | 100.249597084251 | 8.25040291574938 |
22 | 114.5 | 118.395883939474 | -3.89588393947369 |
23 | 96.9 | 97.2942017659042 | -0.394201765904199 |
24 | 89.6 | 85.6051107742865 | 3.99488922571346 |
25 | 97.1 | 93.0944264263611 | 4.0055735736389 |
26 | 100.3 | 101.124895310867 | -0.824895310866722 |
27 | 122.6 | 104.363610680253 | 18.2363893197466 |
28 | 115.4 | 114.419962438752 | 0.980037561247855 |
29 | 109 | 110.428210848222 | -1.42821084822168 |
30 | 129.1 | 116.043727668056 | 13.0562723319438 |
31 | 102.8 | 107.949789100898 | -5.14978910089761 |
32 | 96.2 | 89.9612424234074 | 6.23875757659263 |
33 | 127.7 | 130.457030927630 | -2.75703092762963 |
34 | 128.9 | 139.082322558604 | -10.1823225586044 |
35 | 126.5 | 113.693825466565 | 12.8061745334350 |
36 | 119.8 | 109.276193217512 | 10.523806782488 |
37 | 113.2 | 122.355316398518 | -9.1553163985184 |
38 | 114.1 | 122.277683356958 | -8.17768335695764 |
39 | 134.1 | 132.092430768123 | 2.00756923187706 |
40 | 130 | 124.914263691878 | 5.08573630812199 |
41 | 121.8 | 121.592402969072 | 0.207597030928483 |
42 | 132.1 | 136.134500215314 | -4.03450021531441 |
43 | 105.3 | 109.485738727959 | -4.18573872795943 |
44 | 103 | 96.7500873508708 | 6.24991264912924 |
45 | 117.1 | 134.434857984773 | -17.3348579847732 |
46 | 126.3 | 131.301664544883 | -5.0016645448831 |
47 | 138.1 | 118.903753291705 | 19.1962467082949 |
48 | 119.5 | 116.329760664356 | 3.17023933564421 |
49 | 138 | 116.102514308741 | 21.8974856912592 |
50 | 135.5 | 133.949386716432 | 1.55061328356837 |
51 | 178.6 | 157.529592826884 | 21.0704071731165 |
52 | 162.2 | 160.777125151030 | 1.42287484896968 |
53 | 176.9 | 151.702345366498 | 25.1976546335016 |
54 | 204.9 | 182.980062450030 | 21.9199375499696 |
55 | 132.2 | 159.446438274746 | -27.2464382747464 |
56 | 142.5 | 137.501755980216 | 4.99824401978364 |
57 | 164.3 | 171.997508697770 | -7.69750869776959 |
58 | 174.9 | 185.817293055036 | -10.9172930550364 |
59 | 175.4 | 181.966006571080 | -6.56600657108038 |
60 | 143 | 152.630404480321 | -9.63040448032146 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 154.906145319681 | 134.516619699860 | 175.295670939502 |
62 | 151.190887041065 | 128.068184598979 | 174.313589483151 |
63 | 185.917537707719 | 157.797222696804 | 214.037852718633 |
64 | 167.855878973763 | 138.977903161071 | 196.733854786455 |
65 | 167.844387759039 | 136.648748792447 | 199.040026725632 |
66 | 182.164835445819 | 146.925425754458 | 217.404245137179 |
67 | 128.984543598077 | 98.877419175487 | 159.091668020667 |
68 | 136.100008959898 | 102.645128914268 | 169.554889005528 |
69 | 160.433767175071 | 120.445197018018 | 200.422337332123 |
70 | 176.040609525912 | 130.901917426485 | 221.179301625339 |
71 | 179.813767407059 | 131.931985657152 | 227.695549156967 |
72 | 151.614316411782 | 106.124975628897 | 197.103657194668 |