Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.387954379337132 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 24776 | 23866.7510683761 | 909.248931623933 |
14 | 19814 | 19119.9058073398 | 694.094192660181 |
15 | 12738 | 12384.6736564208 | 353.326343579225 |
16 | 31566 | 31460.3641261135 | 105.635873886524 |
17 | 30111 | 30238.4619933688 | -127.461993368826 |
18 | 30019 | 30276.2535222083 | -257.253522208321 |
19 | 31934 | 27650.3585257003 | 4283.64147429966 |
20 | 25826 | 28440.1236291977 | -2614.1236291977 |
21 | 26835 | 28007.9538864877 | -1172.95388648774 |
22 | 20205 | 22179.808923497 | -1974.80892349695 |
23 | 17789 | 19662.7057873049 | -1873.70578730489 |
24 | 20520 | 20695.5760555633 | -175.576055563266 |
25 | 22518 | 25454.9533499595 | -2936.95334995955 |
26 | 15572 | 19084.2725542189 | -3512.27255421889 |
27 | 11509 | 10508.5965330573 | 1000.40346694268 |
28 | 25447 | 29683.7255392724 | -4236.7255392724 |
29 | 24090 | 26634.5187507887 | -2544.51875078868 |
30 | 27786 | 25655.1641886554 | 2130.83581134462 |
31 | 26195 | 26734.9738038502 | -539.973803850193 |
32 | 20516 | 21431.6493119951 | -915.649311995105 |
33 | 22759 | 22540.471748493 | 218.528251507003 |
34 | 19028 | 16761.3865108987 | 2266.61348910128 |
35 | 16971 | 15951.6415060344 | 1019.35849396557 |
36 | 20036 | 19146.2215975454 | 889.778402454613 |
37 | 22485 | 22628.8189394429 | -143.818939442917 |
38 | 18730 | 16989.6252708892 | 1740.37472911075 |
39 | 14538 | 13213.700362631 | 1324.29963736902 |
40 | 27561 | 29309.1244335131 | -1748.12443351307 |
41 | 25985 | 28261.0890965793 | -2276.08909657934 |
42 | 34670 | 30247.4032791404 | 4422.59672085964 |
43 | 32066 | 30581.6542469709 | 1484.34575302909 |
44 | 27186 | 25833.7428428345 | 1352.25715716545 |
45 | 29586 | 28516.5779367658 | 1069.42206323416 |
46 | 21359 | 24321.1222801958 | -2962.12228019582 |
47 | 21553 | 20719.4893776133 | 833.510622386682 |
48 | 19573 | 23762.6600459204 | -4189.66004592039 |
49 | 24256 | 24642.0582705603 | -386.058270560268 |
50 | 22380 | 20062.0992759709 | 2317.9007240291 |
51 | 16167 | 16255.5711688548 | -88.5711688548108 |
52 | 27297 | 29922.4021256222 | -2625.40212562221 |
53 | 28287 | 28210.8846062455 | 76.1153937544877 |
54 | 33474 | 35209.648140688 | -1735.648140688 |
55 | 28229 | 31356.4374081816 | -3127.43740818163 |
56 | 28785 | 24738.5202834625 | 4046.47971653752 |
57 | 25597 | 28293.4828376006 | -2696.48283760064 |
58 | 18130 | 20169.5388226801 | -2039.53882268012 |
59 | 20198 | 19248.9267084143 | 949.073291585664 |
60 | 22849 | 19262.5208109455 | 3586.47918905448 |
61 | 23118 | 25486.6841154839 | -2368.68411548387 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 21792.5030028598 | 17513.7181853281 | 26071.2878203916 |
63 | 15613.8645757 | 11024.3645050294 | 20203.3646463706 |
64 | 27762.4008278562 | 22881.9272563028 | 32642.8743994096 |
65 | 28722.8715275142 | 23567.822190546 | 33877.9208644824 |
66 | 34583.2238246824 | 29167.5017998254 | 39998.9458495395 |
67 | 30551.5268632893 | 24887.1154698198 | 36215.9382567587 |
68 | 29537.6773363597 | 23635.0450575867 | 35440.3096151326 |
69 | 27395.7896620142 | 21264.1847169483 | 33527.3946070802 |
70 | 20720.0376801011 | 14367.7081399794 | 27072.3672202228 |
71 | 22419.8405403185 | 15854.2025690131 | 28985.478511624 |
72 | 23679.4502325233 | 16907.2191855054 | 30451.6812795413 |
73 | 24867.3916083916 | 17894.6859113083 | 31840.097305475 |