Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.347167391002761 |
beta | 0.0325187100821525 |
gamma | 0.393036024342864 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 2260 | 2165.71971681071 | 94.2802831892864 |
14 | 2498 | 2431.59066431542 | 66.4093356845774 |
15 | 2695 | 2639.21051460026 | 55.7894853997418 |
16 | 2799 | 2762.94788953861 | 36.052110461389 |
17 | 2947 | 2925.69536649647 | 21.3046335035256 |
18 | 2930 | 2894.17629876157 | 35.8237012384334 |
19 | 2318 | 2379.93135935169 | -61.9313593516904 |
20 | 2540 | 2391.95263488983 | 148.047365110167 |
21 | 2570 | 2436.04022753511 | 133.959772464894 |
22 | 2669 | 2938.60901177949 | -269.609011779486 |
23 | 2450 | 2290.93533203163 | 159.064667968373 |
24 | 2842 | 2464.45787164299 | 377.542128357005 |
25 | 3440 | 2771.97809928578 | 668.021900714218 |
26 | 2678 | 3318.28871966593 | -640.288719665934 |
27 | 2981 | 3327.19077198552 | -346.190771985524 |
28 | 2260 | 3326.35191724600 | -1066.35191724600 |
29 | 2844 | 3102.7683529705 | -258.768352970502 |
30 | 2546 | 2966.09141466652 | -420.091414666524 |
31 | 2456 | 2275.01908045422 | 180.980919545777 |
32 | 2295 | 2414.64068780833 | -119.640687808334 |
33 | 2379 | 2350.55625820821 | 28.4437417917884 |
34 | 2479 | 2675.19009901314 | -196.190099013143 |
35 | 2057 | 2178.13929213336 | -121.139292133362 |
36 | 2280 | 2273.9620716808 | 6.03792831920009 |
37 | 2351 | 2459.59702725275 | -108.597027252746 |
38 | 2276 | 2375.02088656453 | -99.020886564529 |
39 | 2548 | 2562.43586993791 | -14.4358699379077 |
40 | 2311 | 2458.22504011548 | -147.225040115482 |
41 | 2201 | 2709.82987514301 | -508.829875143014 |
42 | 2725 | 2437.61449401645 | 287.385505983555 |
43 | 2408 | 2163.01083964412 | 244.989160355882 |
44 | 2139 | 2240.54876701044 | -101.548767010440 |
45 | 1898 | 2213.24299379638 | -315.242993796379 |
46 | 2537 | 2320.30445896899 | 216.695541031008 |
47 | 2069 | 2005.29631666276 | 63.7036833372424 |
48 | 2063 | 2187.28515469447 | -124.285154694467 |
49 | 2524 | 2282.83423077301 | 241.165769226993 |
50 | 2437 | 2319.83412911981 | 117.165870880190 |
51 | 2189 | 2608.49296364284 | -419.492963642839 |
52 | 2793 | 2329.36548710150 | 463.634512898496 |
53 | 2074 | 2703.75440279794 | -629.75440279794 |
54 | 2622 | 2595.60012289522 | 26.39987710478 |
55 | 2278 | 2216.36500646009 | 61.6349935399085 |
56 | 2144 | 2140.46243674390 | 3.53756325610357 |
57 | 2427 | 2089.09653730266 | 337.903462697335 |
58 | 2139 | 2595.01466406412 | -456.014664064122 |
59 | 1828 | 2007.89160094113 | -179.891600941129 |
60 | 2072 | 2046.60869385472 | 25.3913061452845 |
61 | 1800 | 2276.25230583301 | -476.252305833008 |
62 | 1758 | 2031.79577134451 | -273.795771344512 |
63 | 2246 | 2006.10271408423 | 239.897285915774 |
64 | 1987 | 2156.21535900778 | -169.215359007781 |
65 | 1868 | 2017.54965846487 | -149.549658464873 |
66 | 2514 | 2189.25953005690 | 324.740469943095 |
67 | 2121 | 1959.88673775854 | 161.113262241463 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
68 | 1909.36570395408 | 1549.43102452977 | 2269.3003833784 |
69 | 1928.65391285178 | 1508.70071383447 | 2348.60711186910 |
70 | 2067.64642735290 | 1577.97032461735 | 2557.32253008844 |
71 | 1742.12508008275 | 1246.45952430926 | 2237.79063585623 |
72 | 1879.59065444489 | 1307.60976946457 | 2451.57153942521 |
73 | 1950.78838144931 | 1313.69986587277 | 2587.87689702584 |
74 | 1921.70191536672 | 1243.71899427583 | 2599.68483645761 |
75 | 2131.0523856025 | 1344.97357805235 | 2917.13119315265 |
76 | 2093.66164578083 | 1272.09814697024 | 2915.22514459141 |
77 | 2019.88847155494 | 1176.42674110791 | 2863.35020200197 |
78 | 2384.09597578782 | 1357.62091446766 | 3410.57103710799 |
79 | 2000.90322925556 | 1147.67823346131 | 2854.12822504982 |