Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 3007 | 3006 | 1 |
4 | 2986 | 2996 | -10 |
5 | 3193 | 2975 | 218 |
6 | 3183 | 3182 | 1 |
7 | 3028 | 3172 | -144 |
8 | 2924 | 3017 | -93 |
9 | 2935 | 2913 | 22 |
10 | 2935 | 2924 | 11 |
11 | 2945 | 2924 | 21 |
12 | 2966 | 2934 | 32 |
13 | 2955 | 2955 | 0 |
14 | 3038 | 2944 | 94 |
15 | 3069 | 3027 | 42 |
16 | 3038 | 3058 | -20 |
17 | 3152 | 3027 | 125 |
18 | 3079 | 3141 | -62 |
19 | 2914 | 3068 | -154 |
20 | 2873 | 2903 | -30 |
21 | 2873 | 2862 | 11 |
22 | 2893 | 2862 | 31 |
23 | 2811 | 2882 | -71 |
24 | 2873 | 2800 | 73 |
25 | 2821 | 2862 | -41 |
26 | 2873 | 2810 | 63 |
27 | 2955 | 2862 | 93 |
28 | 2986 | 2944 | 42 |
29 | 3059 | 2975 | 84 |
30 | 3028 | 3048 | -20 |
31 | 2842 | 3017 | -175 |
32 | 2769 | 2831 | -62 |
33 | 2738 | 2758 | -20 |
34 | 2769 | 2727 | 42 |
35 | 2718 | 2758 | -40 |
36 | 2738 | 2707 | 31 |
37 | 2676 | 2727 | -51 |
38 | 2780 | 2665 | 115 |
39 | 2831 | 2769 | 62 |
40 | 2842 | 2820 | 22 |
41 | 3038 | 2831 | 207 |
42 | 3038 | 3027 | 11 |
43 | 2780 | 3027 | -247 |
44 | 2718 | 2769 | -51 |
45 | 2718 | 2707 | 11 |
46 | 2749 | 2707 | 42 |
47 | 2614 | 2738 | -124 |
48 | 2552 | 2603 | -51 |
49 | 2480 | 2541 | -61 |
50 | 2501 | 2469 | 32 |
51 | 2594 | 2490 | 104 |
52 | 2521 | 2583 | -62 |
53 | 2718 | 2510 | 208 |
54 | 2749 | 2707 | 42 |
55 | 2552 | 2738 | -186 |
56 | 2480 | 2541 | -61 |
57 | 2439 | 2469 | -30 |
58 | 2480 | 2428 | 52 |
59 | 2366 | 2469 | -103 |
60 | 2325 | 2355 | -30 |
61 | 2160 | 2314 | -154 |
62 | 2201 | 2149 | 52 |
63 | 2211 | 2190 | 21 |
64 | 2222 | 2200 | 22 |
65 | 2418 | 2211 | 207 |
66 | 2397 | 2407 | -10 |
67 | 2160 | 2386 | -226 |
68 | 2056 | 2149 | -93 |
69 | 2015 | 2045 | -30 |
70 | 2067 | 2004 | 63 |
71 | 1870 | 2056 | -186 |
72 | 1736 | 1859 | -123 |
73 | 1488 | 1725 | -237 |
74 | 1509 | 1477 | 32 |
75 | 1509 | 1498 | 11 |
76 | 1488 | 1498 | -10 |
77 | 1664 | 1477 | 187 |
78 | 1674 | 1653 | 21 |
79 | 1467 | 1663 | -196 |
80 | 1426 | 1456 | -30 |
81 | 1343 | 1415 | -72 |
82 | 1457 | 1332 | 125 |
83 | 1250 | 1446 | -196 |
84 | 1126 | 1239 | -113 |
85 | 889 | 1115 | -226 |
86 | 940 | 878 | 62 |
87 | 878 | 929 | -51 |
88 | 899 | 867 | 32 |
89 | 1054 | 888 | 166 |
90 | 1085 | 1043 | 42 |
91 | 982 | 1074 | -92 |
92 | 971 | 971 | 0 |
93 | 971 | 960 | 11 |
94 | 1106 | 960 | 146 |
95 | 868 | 1095 | -227 |
96 | 713 | 857 | -144 |
97 | 444 | 702 | -258 |
98 | 661 | 433 | 228 |
99 | 630 | 650 | -20 |
100 | 641 | 619 | 22 |
101 | 889 | 630 | 259 |
102 | 858 | 878 | -20 |
103 | 744 | 847 | -103 |
104 | 796 | 733 | 63 |
105 | 796 | 785 | 11 |
106 | 982 | 785 | 197 |
107 | 765 | 971 | -206 |
108 | 641 | 754 | -113 |
109 | 444 | 630 | -186 |
110 | 703 | 433 | 270 |
111 | 682 | 692 | -10 |
112 | 692 | 671 | 21 |
113 | 909 | 681 | 228 |
114 | 889 | 898 | -9 |
115 | 816 | 878 | -62 |
116 | 827 | 805 | 22 |
117 | 878 | 816 | 62 |
118 | 992 | 867 | 125 |
119 | 816 | 981 | -165 |
120 | 672 | 805 | -133 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
121 | 661 | 434.196135087659 | 887.803864912341 |
122 | 650 | 329.250898242332 | 970.749101757668 |
123 | 639 | 246.164182618837 | 1031.83581738116 |
124 | 628 | 174.392270175318 | 1081.60772982468 |
125 | 617 | 109.851140496326 | 1124.14885950367 |
126 | 606 | 50.446259273639 | 1161.55374072636 |
127 | 595 | -5.0666229463427 | 1195.06662294634 |
128 | 584 | -57.4982035153362 | 1225.49820351534 |
129 | 573 | -107.411594737023 | 1253.41159473702 |
130 | 562 | -155.216795252143 | 1279.21679525214 |
131 | 551 | -201.223320916688 | 1303.22332091669 |
132 | 540 | -245.671634762326 | 1325.67163476233 |