Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.29089981285969 |
beta | 0.129402100573134 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 735.7 | -394.3 | 1130 |
4 | 575.9 | -473.046568538926 | 1048.94656853893 |
5 | 545.8 | -535.886020308952 | 1081.68602030895 |
6 | 905.8 | -548.483614156879 | 1454.28361415688 |
7 | 765.8 | -397.948971475575 | 1163.74897147557 |
8 | 945.7 | -288.123744935826 | 1233.82374493583 |
9 | 15.7 | -111.468894886917 | 127.168894886917 |
10 | 645.7 | -251.952708950638 | 897.652708950638 |
11 | 155.9 | -134.512542722383 | 290.412542722383 |
12 | 416 | -182.786414262083 | 598.786414262083 |
13 | 825.8 | -118.814239240618 | 944.614239240618 |
14 | 725.9 | 81.3173434025964 | 644.582656597404 |
15 | 925.9 | 218.433849937693 | 707.466150062307 |
16 | 556 | 400.474334378469 | 155.525665621531 |
17 | 116.1 | 427.809895101609 | -311.709895101609 |
18 | 876.3 | 307.493008467076 | 568.806991532924 |
19 | 336.2 | 464.729947599733 | -128.529947599733 |
20 | 186.1 | 414.273442800663 | -228.173442800663 |
21 | 286.1 | 326.241520299882 | -40.141520299882 |
22 | 26 | 291.396999737334 | -265.396999737334 |
23 | 915.8 | 181.035350668403 | 734.764649331597 |
24 | 405.7 | 389.279318254505 | 16.4206817454948 |
25 | 965.7 | 389.175284593019 | 576.524715406981 |
26 | 395.6 | 573.707556372317 | -178.107556372316 |
27 | 425.8 | 532.012930425985 | -106.212930425985 |
28 | 545.6 | 507.23425939798 | 38.3657406020197 |
29 | 65.6 | 525.957700086072 | -460.357700086072 |
30 | 445.6 | 382.27331874159 | 63.3266812584102 |
31 | 895.5 | 393.312435156616 | 502.187564843384 |
32 | 175.4 | 550.919970504003 | -375.519970504003 |
33 | 715.4 | 439.066832234116 | 276.333167765884 |
34 | 865.5 | 527.239672276702 | 338.260327723298 |
35 | 57.4 | 646.16026092256 | -588.76026092256 |
36 | 145.4 | 473.248003734599 | -327.848003734599 |
37 | 315.3 | 363.89387557431 | -48.5938755743102 |
38 | 635.4 | 333.945499501746 | 301.454500498254 |
39 | 5.2 | 417.173796403027 | -411.973796403027 |
40 | 515.2 | 277.357986331911 | 237.842013668089 |
41 | 515.1 | 335.526571864868 | 179.573428135132 |
42 | 955 | 383.504527737267 | 571.495472262733 |
43 | 955 | 567.00536373342 | 387.994636266579 |
44 | 634.9 | 711.731141145494 | -76.8311411454937 |
45 | 205 | 718.347028651095 | -513.347028651095 |
46 | 275 | 578.656579926155 | -303.656579926155 |
47 | 425 | 488.534484632216 | -63.534484632216 |
48 | 84.9 | 465.872230341771 | -380.972230341771 |
49 | 534.7 | 336.526439718177 | 198.173560281823 |
50 | 4.8 | 383.113907817676 | -378.313907817676 |
51 | 704.7 | 247.760391178728 | 456.939608821272 |
52 | 684.7 | 372.58256531853 | 312.11743468147 |
53 | 884.6 | 467.025047316543 | 417.574952683457 |
54 | 994.6 | 607.863895069212 | 386.736104930788 |
55 | 294.7 | 754.289653094595 | -459.589653094595 |
56 | 524.7 | 637.219051653267 | -112.519051653267 |
57 | 914.5 | 616.875663288503 | 297.624336711497 |
58 | 564.4 | 727.046396692355 | -162.646396692355 |
59 | 984.5 | 697.201953955125 | 287.298046044875 |
60 | 934.4 | 809.061039211828 | 125.338960788172 |
61 | 514.6 | 878.524397248303 | -363.924397248303 |
62 | 474.5 | 791.96191286089 | -317.461912860891 |
63 | 784.4 | 706.965122830915 | 77.4348771690849 |
64 | 504.5 | 739.758619827906 | -235.258619827906 |
65 | 824.4 | 672.733785820247 | 151.666214179753 |
66 | 414.6 | 723.974492020653 | -309.374492020653 |
67 | 964.7 | 629.45274457231 | 335.247255427689 |
68 | 64.6 | 735.07107096115 | -670.471070961149 |
69 | 244.7 | 522.887550484607 | -278.187550484607 |
70 | 344.7 | 414.34740570933 | -69.6474057093298 |
71 | 34.7 | 363.849809467486 | -329.149809467486 |
72 | 685 | 225.47281084047 | 459.52718915953 |
73 | 425 | 333.819807026754 | 91.1801929732464 |
74 | 484.8 | 338.447031230024 | 146.352968769976 |
75 | 785.1 | 364.63317724615 | 420.46682275385 |
76 | 704.9 | 486.38664439218 | 218.513355607821 |
77 | 245.4 | 557.617394219456 | -312.217394219456 |
78 | 285.6 | 462.705854248112 | -177.105854248112 |
79 | 218.8 | 400.431432002451 | -181.631432002451 |
80 | 706.1 | 330.003359532417 | 376.096640467583 |
81 | 856.2 | 435.975702424141 | 420.224297575859 |
82 | 456.6 | 570.603295427711 | -114.003295427711 |
83 | 606.8 | 545.532750212318 | 61.2672497876823 |
84 | 527.3 | 573.754659753437 | -46.4546597534367 |
85 | 657.8 | 568.891591035103 | 88.9084089648967 |
86 | 948.2 | 606.752397078215 | 341.447602921785 |
87 | 486.6 | 730.929935493442 | -244.329935493442 |
88 | 238.9 | 675.507574399983 | -436.607574399983 |
89 | 289.4 | 547.716444757507 | -258.316444757507 |
90 | 969.5 | 462.066353332924 | 507.433646667076 |
91 | 589.5 | 618.274168730914 | -28.7741687309144 |
92 | 189.7 | 617.416083594395 | -427.716083594395 |
93 | 639.8 | 484.405333513077 | 155.394666486923 |
94 | 9710.1 | 526.8709202162 | 9183.2290797838 |
95 | 969.9 | 3541.21657067186 | -2571.31657067186 |
96 | 939.9 | 3039.37490104804 | -2099.47490104804 |
97 | 859.7 | 2595.76125277685 | -1736.06125277685 |
98 | 679.9 | 2192.51393172237 | -1512.61393172237 |
99 | 879.9 | 1797.32799746341 | -917.427997463409 |
100 | 329.8 | 1540.74675501591 | -1210.94675501591 |
101 | 349.6 | 1153.19723550532 | -803.597235505315 |
102 | 39.5 | 853.895766611914 | -814.395766611914 |
103 | 849.5 | 520.796669051269 | 328.703330948731 |
104 | 449.6 | 532.598279934586 | -82.9982799345859 |
105 | 749.6 | 421.511661118665 | 328.088338881335 |
106 | 249.7 | 442.360307493709 | -192.660307493709 |
107 | 649.8 | 304.47094911205 | 345.32905088795 |
108 | 619.4 | 336.081832042037 | 283.318167957963 |
109 | 939 | 360.318719799598 | 578.681280200402 |
110 | 778.9 | 492.260008170372 | 286.639991829628 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
111 | 550.036543045553 | -1559.58557916765 | 2659.65866525876 |
112 | 524.429557939392 | -1696.13228305648 | 2744.99139893526 |
113 | 498.822572833231 | -1852.27772252172 | 2849.92286818818 |
114 | 473.21558772707 | -2027.47458688231 | 2973.90576233645 |
115 | 447.608602620909 | -2220.8823313827 | 3116.09953662452 |
116 | 422.001617514748 | -2431.49849089524 | 3275.50172592474 |
117 | 396.394632408587 | -2658.26100847144 | 3451.05027328861 |
118 | 370.787647302426 | -2900.11914368315 | 3641.694438288 |
119 | 345.180662196265 | -3156.07711823423 | 3846.43844262676 |
120 | 319.573677090104 | -3425.21713642029 | 4064.3644906005 |
121 | 293.966691983942 | -3706.70831788113 | 4294.64170184902 |
122 | 268.359706877781 | -3999.80683876093 | 4536.52625251649 |