Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.346213598844670 |
beta | 0 |
gamma | 0.383242980338082 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 523.3 | 468.445487276567 | 54.8545127234325 |
14 | 536.1 | 498.66352637662 | 37.4364736233803 |
15 | 607.3 | 579.707630854539 | 27.5923691454614 |
16 | 637.3 | 617.181151035876 | 20.1188489641239 |
17 | 606.9 | 595.825725879453 | 11.074274120547 |
18 | 652.9 | 641.33105790874 | 11.5689420912598 |
19 | 617.2 | 544.60488343514 | 72.5951165648603 |
20 | 670.4 | 703.977363450823 | -33.5773634508229 |
21 | 729.9 | 741.541064358148 | -11.6410643581482 |
22 | 677.2 | 658.65927351803 | 18.5407264819694 |
23 | 710 | 798.861606007522 | -88.8616060075216 |
24 | 844.3 | 690.582334067552 | 153.717665932448 |
25 | 748.2 | 709.718189935114 | 38.4818100648864 |
26 | 653.9 | 727.902110578053 | -74.0021105780528 |
27 | 742.6 | 786.505003080898 | -43.9050030808976 |
28 | 854.2 | 801.412484657752 | 52.7875153422481 |
29 | 808.4 | 776.430913035321 | 31.9690869646787 |
30 | 1819 | 838.502991683396 | 980.497008316604 |
31 | 1936.5 | 1013.07365058068 | 923.426349419323 |
32 | 1966.1 | 1561.72553117971 | 404.37446882029 |
33 | 2083.1 | 1819.37286406244 | 263.727135937559 |
34 | 1620.1 | 1707.58414162003 | -87.4841416200336 |
35 | 1527.6 | 1923.92162632109 | -396.321626321093 |
36 | 1795 | 1723.31752789012 | 71.6824721098778 |
37 | 1685.1 | 1593.67868858838 | 91.4213114116171 |
38 | 1851.8 | 1559.50749420858 | 292.292505791415 |
39 | 2164.4 | 1866.573332006 | 297.826667993998 |
40 | 1981.8 | 2090.32148568062 | -108.521485680624 |
41 | 1726.5 | 1916.46122352916 | -189.961223529157 |
42 | 2144.6 | 2338.72818934595 | -194.128189345952 |
43 | 1758.2 | 1890.06218712522 | -131.862187125217 |
44 | 1672.9 | 1948.98889262301 | -276.08889262301 |
45 | 1837.3 | 1934.50892901993 | -97.2089290199256 |
46 | 1596.1 | 1620.97248104066 | -24.8724810406634 |
47 | 1446 | 1770.08600238853 | -324.086002388528 |
48 | 1898.4 | 1710.77199199425 | 187.628008005747 |
49 | 1964.1 | 1624.89663314946 | 339.203366850536 |
50 | 1755.9 | 1720.62343820042 | 35.2765617995792 |
51 | 2255.3 | 1936.06528564962 | 319.234714350378 |
52 | 1881.2 | 2064.92035206239 | -183.720352062393 |
53 | 2117.9 | 1844.95589521561 | 272.944104784394 |
54 | 1656.5 | 2460.67229645203 | -804.17229645203 |
55 | 1544.1 | 1822.49542625217 | -278.395426252171 |
56 | 2098.9 | 1788.4901141119 | 310.409885888100 |
57 | 2133.3 | 2028.5216907021 | 104.778309297903 |
58 | 1963.5 | 1775.65577873815 | 187.844221261852 |
59 | 1801.2 | 1927.59225463942 | -126.392254639415 |
60 | 2365.4 | 2095.74516966627 | 269.654830333734 |
61 | 1936.5 | 2044.36729662966 | -107.867296629662 |
62 | 1667.6 | 1898.40249141378 | -230.802491413779 |
63 | 1983.5 | 2099.91542005586 | -116.415420055862 |
64 | 2058.6 | 1954.26619078847 | 104.333809211530 |
65 | 2448.3 | 1944.10187951795 | 504.198120482055 |
66 | 1858.1 | 2356.05138517422 | -497.951385174217 |
67 | 1625.4 | 1926.84740134125 | -301.447401341247 |
68 | 2130.6 | 2047.35555316413 | 83.2444468358653 |
69 | 2515.7 | 2160.27464522433 | 355.425354775673 |
70 | 2230.2 | 1987.49318770981 | 242.706812290192 |
71 | 2086.9 | 2078.60273538847 | 8.29726461152904 |
72 | 2235 | 2426.31980271082 | -191.319802710819 |
73 | 2100.2 | 2108.74017584760 | -8.54017584759731 |
74 | 2288.6 | 1954.13452021044 | 334.465479789559 |
75 | 2490 | 2431.65227243603 | 58.3477275639693 |
76 | 2573.7 | 2388.39421469764 | 185.305785302360 |
77 | 2543.8 | 2502.83815920172 | 40.9618407982825 |
78 | 2004.7 | 2489.16653498205 | -484.466534982046 |
79 | 2390 | 2081.16901205823 | 308.830987941765 |
80 | 2338.4 | 2586.96443620870 | -248.564436208704 |
81 | 2724.5 | 2674.25593695877 | 50.2440630412284 |
82 | 2292.5 | 2319.63032211609 | -27.1303221160888 |
83 | 2386 | 2253.35109159517 | 132.648908404832 |
84 | 2477.9 | 2621.84724829203 | -143.947248292027 |
85 | 2337 | 2342.08424960309 | -5.08424960309412 |
86 | 2605.1 | 2260.78152706651 | 344.318472933492 |
87 | 2560.8 | 2701.82903771605 | -141.029037716049 |
88 | 2839.3 | 2616.73847733390 | 222.561522666096 |
89 | 2407.2 | 2708.00758084818 | -300.807580848181 |
90 | 2085.2 | 2430.14911313109 | -344.949113131093 |
91 | 2735.6 | 2262.61109751585 | 472.988902484153 |
92 | 2798.7 | 2700.83031488706 | 97.8696851129407 |
93 | 3053.2 | 3011.35850078951 | 41.8414992104899 |
94 | 2405 | 2586.50809709010 | -181.508097090097 |
95 | 2471.9 | 2503.40548652555 | -31.5054865255488 |
96 | 2727.3 | 2761.54246769244 | -34.2424676924356 |
97 | 2790.7 | 2537.14929618599 | 253.55070381401 |
98 | 2385.4 | 2627.68142370859 | -242.281423708586 |
99 | 3206.6 | 2749.27354456528 | 457.32645543472 |
100 | 2705.6 | 2965.37509735931 | -259.775097359306 |
101 | 3518.4 | 2749.47352120628 | 768.926478793724 |
102 | 1954.9 | 2787.89219909764 | -832.992199097638 |
103 | 2584.3 | 2665.32078027908 | -81.0207802790833 |
104 | 2535.8 | 2823.53661753304 | -287.736617533041 |
105 | 2685.9 | 2983.28465081925 | -297.384650819251 |
106 | 2866 | 2409.97324870202 | 456.026751297976 |
107 | 2236.6 | 2585.36521520188 | -348.765215201880 |
108 | 2934.9 | 2730.88054591979 | 204.01945408021 |
109 | 2668.6 | 2655.56376111757 | 13.0362388824269 |
110 | 2371.2 | 2538.00990550250 | -166.809905502497 |
111 | 3165.9 | 2854.37120129727 | 311.528798702729 |
112 | 2887.2 | 2840.98259500262 | 46.2174049973773 |
113 | 3112.2 | 2973.4596939424 | 138.740306057599 |
114 | 2671.2 | 2406.86670493956 | 264.333295060444 |
115 | 2432.6 | 2883.44867870295 | -450.848678702945 |
116 | 2812.3 | 2864.25108391293 | -51.9510839129271 |
117 | 3095.7 | 3118.23997266485 | -22.5399726648461 |
118 | 2862.9 | 2789.23550889622 | 73.6644911037783 |
119 | 2607.3 | 2616.46986007017 | -9.16986007017249 |
120 | 2862.5 | 3055.59449714028 | -193.094497140276 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
121 | 2785.13059086808 | 2448.17398860440 | 3122.08719313175 |
122 | 2608.84471389662 | 2225.71231194584 | 2991.9771158474 |
123 | 3133.37653500486 | 2668.85830315633 | 3597.89476685338 |
124 | 2939.46984980711 | 2453.54099035311 | 3425.39870926110 |
125 | 3081.70095831986 | 2544.27379281056 | 3619.12812382917 |
126 | 2491.15640509781 | 1989.24487286823 | 2993.06793732739 |
127 | 2685.16432359776 | 2122.10561980854 | 3248.22302738699 |
128 | 2928.00879444682 | 2296.64827910602 | 3559.36930978763 |
129 | 3216.24627907143 | 2508.81157814971 | 3923.68097999316 |
130 | 2907.89127131893 | 2230.93372920066 | 3584.84881343719 |
131 | 2682.80604129979 | 2021.83293745790 | 3343.77914514167 |
132 | 3088.46687493822 | 2398.25635645366 | 3778.67739342277 |