Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0918611009738237 |
beta | 0 |
gamma | 0.573855305728291 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1092 | 831.122281907311 | 260.877718092689 |
14 | 1092 | 884.385368902543 | 207.614631097457 |
15 | 1087 | 926.685512139121 | 160.314487860879 |
16 | 2028 | 1820.45916588127 | 207.540834118727 |
17 | 2039 | 1905.54726232992 | 133.452737670082 |
18 | 2010 | 1945.49246058456 | 64.5075394154394 |
19 | 754 | 1256.35942724446 | -502.359427244458 |
20 | 760 | 1028.43268285001 | -268.432682850010 |
21 | 715 | 1071.31431656251 | -356.314316562514 |
22 | 855 | 1253.75893393566 | -398.758933935659 |
23 | 971 | 1018.24150647733 | -47.2415064773303 |
24 | 815 | 1009.71354350964 | -194.713543509635 |
25 | 915 | 1048.28006942312 | -133.280069423118 |
26 | 843 | 1034.69041122445 | -191.690411224455 |
27 | 761 | 1014.27205040528 | -253.272050405278 |
28 | 1858 | 1864.40755848404 | -6.4075584840416 |
29 | 2968 | 1890.61702402758 | 1077.38297597242 |
30 | 4061 | 1981.20565836747 | 2079.79434163253 |
31 | 3661 | 1076.39106091919 | 2584.60893908081 |
32 | 3269 | 1222.16913104713 | 2046.83086895287 |
33 | 2857 | 1429.60795014985 | 1427.39204985015 |
34 | 2568 | 1892.25294110882 | 675.747058891177 |
35 | 2274 | 1912.41895570618 | 361.581044293823 |
36 | 1987 | 1772.07795251764 | 214.922047482356 |
37 | 683 | 1956.19662333999 | -1273.19662333999 |
38 | 381 | 1765.2482088613 | -1384.2482088613 |
39 | 71 | 1561.79859879052 | -1490.79859879052 |
40 | 1772 | 3071.85565013228 | -1299.85565013228 |
41 | 3485 | 3829.64255993234 | -344.642559932339 |
42 | 5181 | 4404.72405087655 | 776.275949123447 |
43 | 4479 | 2988.20475036706 | 1490.79524963294 |
44 | 3782 | 2518.14827136534 | 1263.85172863466 |
45 | 3067 | 2244.13752371150 | 822.862476288496 |
46 | 2489 | 2247.78703064133 | 241.212969358671 |
47 | 1903 | 2064.61354447124 | -161.613544471244 |
48 | 1330 | 1808.93008153061 | -478.930081530609 |
49 | 736 | 1159.81561172641 | -423.815611726414 |
50 | 483 | 942.078553689241 | -459.078553689241 |
51 | 242 | 697.289305379152 | -455.289305379152 |
52 | 1334 | 2394.35176643172 | -1060.35176643172 |
53 | 2423 | 3683.39617061049 | -1260.39617061049 |
54 | 3523 | 4735.9693980243 | -1212.9693980243 |
55 | 2986 | 3536.81343804411 | -550.813438044111 |
56 | 2462 | 2814.69982590468 | -352.699825904685 |
57 | 1908 | 2249.49004861305 | -341.490048613054 |
58 | 1575 | 1917.43744973985 | -342.437449739849 |
59 | 1237 | 1561.28894104293 | -324.288941042926 |
60 | 904 | 1212.35135642901 | -308.351356429009 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 728.991369435192 | -360.137355609836 | 1818.12009448022 |
62 | 561.081187886313 | -535.149132818095 | 1657.31150859072 |
63 | 378.292057814204 | -719.456226602321 | 1476.04034223073 |
64 | 1646.10196258095 | 220.087720173083 | 3072.11620498881 |
65 | 2837.25490505638 | 903.143132617573 | 4771.36667749518 |
66 | 3986.15390996687 | 1496.22854469116 | 6476.07927524258 |
67 | 3240.54471663342 | 1127.63318319338 | 5353.45625007346 |
68 | 2662.48403200613 | 823.446377126066 | 4501.5216868862 |
69 | 2119.55097013216 | 515.580849167985 | 3723.52109109634 |
70 | 1803.01609395140 | 322.150893732776 | 3283.88129417002 |
71 | 1466.04944222245 | 102.622129655648 | 2829.47675478924 |
72 | 1126.79135778182 | 487.520457495803 | 1766.06225806784 |