Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0453111528314821 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 950 | 940 | 10 |
3 | 920 | 940.453111528315 | -20.4531115283148 |
4 | 930 | 939.526357465976 | -9.52635746597605 |
5 | 930 | 939.094707226908 | -9.09470722690787 |
6 | 900 | 938.682615557792 | -38.6826155577919 |
7 | 940 | 936.929861652331 | 3.07013834766872 |
8 | 840 | 937.068973160216 | -97.0689731602163 |
9 | 890 | 932.670666082159 | -42.6706660821587 |
10 | 850 | 930.737209009889 | -80.7372090098889 |
11 | 830 | 927.078912993255 | -97.0789129932546 |
12 | 940 | 922.680155529903 | 17.319844470097 |
13 | 960 | 923.464937649705 | 36.5350623502949 |
14 | 900 | 925.120383443567 | -25.1203834435671 |
15 | 940 | 923.98214991017 | 16.0178500898298 |
16 | 920 | 924.707937163622 | -4.7079371636222 |
17 | 930 | 924.49461510328 | 5.50538489671965 |
18 | 970 | 924.744070439732 | 45.2559295602682 |
19 | 930 | 926.794668780568 | 3.20533121943208 |
20 | 780 | 926.939906033327 | -146.939906033327 |
21 | 810 | 920.281889494007 | -110.281889494007 |
22 | 870 | 915.2848899446 | -45.2848899445997 |
23 | 720 | 913.232979375363 | -193.232979375363 |
24 | 880 | 904.477370314803 | -24.4773703148035 |
25 | 920 | 903.368272447557 | 16.6317275524434 |
26 | 920 | 904.121875196537 | 15.878124803463 |
27 | 950 | 904.841331336184 | 45.158668663816 |
28 | 950 | 906.887522673676 | 43.1124773263235 |
29 | 890 | 908.840998722753 | -18.8409987227533 |
30 | 960 | 907.987291350129 | 52.0127086498711 |
31 | 780 | 910.344047140943 | -130.344047140943 |
32 | 780 | 904.438008100265 | -124.438008100265 |
33 | 760 | 898.799578497189 | -138.799578497189 |
34 | 860 | 892.510409582958 | -32.5104095829575 |
35 | 740 | 891.03732544573 | -151.03732544573 |
36 | 1020 | 884.1936501092 | 135.8063498908 |
37 | 890 | 890.347192384588 | -0.34719238458797 |
38 | 1040 | 890.331460697388 | 149.668539302612 |
39 | 920 | 897.113114755793 | 22.8868852442066 |
40 | 900 | 898.15014591093 | 1.84985408906982 |
41 | 950 | 898.233964932276 | 51.766035067724 |
42 | 990 | 900.579543658709 | 89.4204563412906 |
43 | 840 | 904.631287622251 | -64.6312876222505 |
44 | 740 | 901.702769471103 | -161.702769471103 |
45 | 840 | 894.375830570324 | -54.3758305703242 |
46 | 960 | 891.911999001013 | 68.0880009989866 |
47 | 790 | 894.997144820269 | -104.997144820269 |
48 | 1010 | 890.239603144448 | 119.760396855552 |
49 | 900 | 895.666084789529 | 4.33391521047088 |
50 | 970 | 895.862459483989 | 74.1375405160105 |
51 | 920 | 899.221716912861 | 20.7782830871394 |
52 | 980 | 900.163204873398 | 79.8367951266022 |
53 | 890 | 903.780702098955 | -13.780702098955 |
54 | 1000 | 903.156282600024 | 96.8437173999758 |
55 | 880 | 907.544383079903 | -27.5443830799034 |
56 | 740 | 906.296315328521 | -166.296315328521 |
57 | 860 | 898.761237569358 | -38.7612375693581 |
58 | 940 | 897.004921209915 | 42.9950787900846 |
59 | 760 | 898.953077795975 | -138.953077795975 |
60 | 1010 | 892.656953651556 | 117.343046348444 |
61 | 870 | 897.973902358362 | -27.9739023583624 |
62 | 980 | 896.70637259331 | 83.2936274066903 |
63 | 920 | 900.480502874623 | 19.5194971253773 |
64 | 950 | 901.364953792064 | 48.6350462079356 |
65 | 880 | 903.568663803758 | -23.5686638037583 |
66 | 980 | 902.500740476112 | 77.4992595238875 |
67 | 910 | 906.012321268726 | 3.98767873127395 |
68 | 730 | 906.193007589162 | -176.193007589162 |
69 | 880 | 898.209499294451 | -18.2094992944507 |
70 | 820 | 897.384405888935 | -77.384405888935 |
71 | 690 | 893.878029246928 | -203.878029246928 |
72 | 990 | 884.640080704739 | 105.359919295261 |
73 | 800 | 889.414060110239 | -89.4140601102392 |
74 | 960 | 885.362605967301 | 74.6373940326991 |
75 | 910 | 888.74451233526 | 21.2554876647399 |
76 | 950 | 889.707622985345 | 60.2923770146552 |
77 | 940 | 892.439540094829 | 47.5604599051709 |
78 | 1010 | 894.594559362328 | 115.405440637672 |
79 | 890 | 899.823712920646 | -9.82371292064602 |
80 | 660 | 899.378589163126 | -239.378589163126 |
81 | 860 | 888.532069324971 | -28.532069324971 |
82 | 840 | 887.239248371189 | -47.2392483711888 |
83 | 740 | 885.098783568597 | -145.098783568597 |
84 | 980 | 878.524190410659 | 101.475809589341 |
85 | 820 | 883.12217632766 | -63.1221763276595 |
86 | 1080 | 880.262037749021 | 199.737962250979 |
87 | 930 | 889.312395082824 | 40.6876049171759 |
88 | 970 | 891.155997367573 | 78.8440026324269 |
89 | 930 | 894.728510020697 | 35.2714899793032 |
90 | 1010 | 896.326701893743 | 113.673298106257 |
91 | 880 | 901.477370077094 | -21.4773700770944 |
92 | 740 | 900.504205679113 | -160.504205679113 |
93 | 860 | 893.231575085491 | -33.2315750854909 |
94 | 810 | 891.725814107961 | -81.7258141079614 |
95 | 750 | 888.022723254638 | -138.022723254638 |
96 | 890 | 881.76875454703 | 8.23124545297003 |
97 | 790 | 882.141721767743 | -92.141721767743 |
98 | 1000 | 877.966674130569 | 122.033325869431 |
99 | 890 | 883.496144809573 | 6.5038551904272 |
100 | 970 | 883.7908419861 | 86.2091580138999 |
101 | 900 | 887.697078320341 | 12.3029216796588 |
102 | 990 | 888.254537884842 | 101.745462115158 |
103 | 910 | 892.864742068652 | 17.1352579313483 |
104 | 730 | 893.641160359586 | -163.641160359586 |
105 | 850 | 886.226390733012 | -36.2263907330116 |
106 | 840 | 884.584931205975 | -44.5849312059752 |
107 | 830 | 882.56473657412 | -52.5647365741202 |
108 | 950 | 880.182967761664 | 69.8170322383364 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 883.346457979655 | 712.139405422419 | 1054.55351053689 |
110 | 883.346457979655 | 711.963742890724 | 1054.72917306859 |
111 | 883.346457979655 | 711.788260223991 | 1054.90465573532 |
112 | 883.346457979655 | 711.612956870847 | 1055.07995908846 |
113 | 883.346457979655 | 711.437832282727 | 1055.25508367658 |
114 | 883.346457979655 | 711.262885913858 | 1055.43003004545 |
115 | 883.346457979655 | 711.088117221241 | 1055.60479873807 |
116 | 883.346457979655 | 710.913525664625 | 1055.77939029469 |
117 | 883.346457979655 | 710.739110706495 | 1055.95380525282 |
118 | 883.346457979655 | 710.564871812046 | 1056.12804414726 |
119 | 883.346457979655 | 710.390808449169 | 1056.30210751014 |
120 | 883.346457979655 | 710.216920088427 | 1056.47599587088 |