Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.621326496880825 |
beta | 0 |
gamma | 0.681722555897902 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 2377 | 2466.81490384615 | -89.8149038461534 |
14 | 2258 | 2281.37751145122 | -23.3775114512218 |
15 | 2266 | 2262.67776466826 | 3.32223533173601 |
16 | 2601 | 2589.98394468823 | 11.0160553117685 |
17 | 2843 | 2835.86216559069 | 7.13783440930729 |
18 | 3018 | 3023.87241175236 | -5.8724117523634 |
19 | 2493 | 2386.25738057618 | 106.742619423821 |
20 | 2647 | 2539.36305221682 | 107.636947783181 |
21 | 3015 | 3039.98272709737 | -24.9827270973747 |
22 | 3101 | 3128.78561730025 | -27.7856173002538 |
23 | 2496 | 2664.84699755224 | -168.846997552236 |
24 | 2342 | 2538.80487123375 | -196.804871233747 |
25 | 2271 | 2160.1227023332 | 110.8772976668 |
26 | 1969 | 2116.53152313398 | -147.531523133975 |
27 | 2196 | 2027.58414599663 | 168.415854003371 |
28 | 2294 | 2459.45352745607 | -165.453527456068 |
29 | 2706 | 2594.68535692449 | 111.314643075506 |
30 | 3001 | 2844.06481613241 | 156.935183867591 |
31 | 2691 | 2336.67805853205 | 354.321941467946 |
32 | 2554 | 2643.8421941445 | -89.842194144504 |
33 | 2961 | 2987.52704089893 | -26.5270408989331 |
34 | 3226 | 3074.64684115924 | 151.353158840756 |
35 | 2960 | 2685.59685647391 | 274.403143526093 |
36 | 2749 | 2827.74045495885 | -78.7404549588505 |
37 | 2379 | 2601.84307071138 | -222.843070711378 |
38 | 2254 | 2284.19427764403 | -30.1942776440333 |
39 | 2592 | 2349.713540408 | 242.286459592 |
40 | 2780 | 2741.29221602692 | 38.7077839730796 |
41 | 2833 | 3074.82265543075 | -241.822655430746 |
42 | 2911 | 3116.56550888972 | -205.565508889716 |
43 | 2494 | 2434.90291019418 | 59.0970898058213 |
44 | 2643 | 2443.97493211047 | 199.025067889532 |
45 | 2902 | 2983.48548665201 | -81.485486652015 |
46 | 2880 | 3082.3779696439 | -202.377969643899 |
47 | 2657 | 2505.31084863228 | 151.689151367716 |
48 | 2609 | 2480.04487751956 | 128.955122480445 |
49 | 2394 | 2345.99412988682 | 48.0058701131752 |
50 | 2492 | 2246.36329804262 | 245.636701957384 |
51 | 2414 | 2553.60463254409 | -139.604632544091 |
52 | 2621 | 2655.35036394513 | -34.3503639451274 |
53 | 3055 | 2871.06883200865 | 183.931167991354 |
54 | 2940 | 3186.70360921897 | -246.703609218971 |
55 | 2582 | 2547.80353964548 | 34.1964603545166 |
56 | 2430 | 2577.52658579326 | -147.526585793256 |
57 | 2781 | 2829.30154042067 | -48.3015404206672 |
58 | 2904 | 2917.6036615456 | -13.603661545596 |
59 | 2474 | 2549.22954240558 | -75.2295424055792 |
60 | 2254 | 2377.10417855492 | -123.104178554917 |
61 | 2244 | 2065.54523717849 | 178.454762821509 |
62 | 1972 | 2097.98421114688 | -125.984211146882 |
63 | 2408 | 2074.87747164237 | 333.122528357627 |
64 | 2523 | 2497.51253159567 | 25.4874684043325 |
65 | 2634 | 2806.75926646938 | -172.759266469376 |
66 | 2798 | 2789.60434224729 | 8.39565775270512 |
67 | 2418 | 2381.71863493138 | 36.2813650686221 |
68 | 2551 | 2365.82523448449 | 185.174765515511 |
69 | 2741 | 2849.93132632275 | -108.931326322753 |
70 | 3011 | 2909.51982171092 | 101.480178289082 |
71 | 2558 | 2596.74160393876 | -38.7416039387554 |
72 | 2167 | 2434.92831290272 | -267.928312902718 |
73 | 1944 | 2111.23382112208 | -167.233821122079 |
74 | 1836 | 1850.29631537659 | -14.2963153765945 |
75 | 2292 | 2015.10275292109 | 276.897247078912 |
76 | 2576 | 2323.387482526 | 252.612517473997 |
77 | 2653 | 2722.57558067553 | -69.5755806755324 |
78 | 2900 | 2816.2966067924 | 83.7033932076001 |
79 | 2438 | 2462.40029376275 | -24.4002937627511 |
80 | 2439 | 2447.24064209719 | -8.24064209718608 |
81 | 2717 | 2735.24904973537 | -18.249049735372 |
82 | 2872 | 2905.49863275416 | -33.4986327541596 |
83 | 2157 | 2472.65621244611 | -315.656212446109 |
84 | 1541 | 2079.62392733895 | -538.623927338951 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 1613.73338779894 | 1291.19764528387 | 1936.26913031401 |
86 | 1496.18354444743 | 1116.46066337695 | 1875.9064255179 |
87 | 1745.04435784659 | 1315.68480267498 | 2174.40391301821 |
88 | 1875.01638146256 | 1401.19174214346 | 2348.84102078167 |
89 | 2034.07668505004 | 1519.61585074426 | 2548.53751935581 |
90 | 2210.59587122406 | 1658.48165184251 | 2762.71009060562 |
91 | 1776.78542630957 | 1189.42670078316 | 2364.14415183599 |
92 | 1780.95794210515 | 1160.35304874648 | 2401.56283546382 |
93 | 2071.5028059116 | 1419.3443935075 | 2723.6612183157 |
94 | 2249.15432312463 | 1566.90015048942 | 2931.40849575983 |
95 | 1764.28643602823 | 1053.20914255947 | 2475.36372949699 |
96 | 1509.82054417538 | 771.043799484831 | 2248.59728886593 |