Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.960596258085363 |
beta | 0.155180585289121 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 3295.32 | 2962.76559155129 | 332.554408448710 |
14 | 3363.99 | 3392.98879678833 | -28.9987967883330 |
15 | 3494.17 | 3546.58680895763 | -52.4168089576297 |
16 | 3667.03 | 3722.78042621769 | -55.7504262176926 |
17 | 3813.06 | 3855.97632952237 | -42.9163295223652 |
18 | 3917.96 | 3947.54155853685 | -29.5815585368532 |
19 | 3895.51 | 3794.2083205011 | 101.301679498902 |
20 | 3801.06 | 3854.59220615474 | -53.5322061547413 |
21 | 3570.12 | 3873.8904436771 | -303.770443677099 |
22 | 3701.61 | 3632.87127883522 | 68.7387211647838 |
23 | 3862.27 | 3788.57541742667 | 73.6945825733328 |
24 | 3970.1 | 3865.00887974193 | 105.091120258073 |
25 | 4138.52 | 3998.12875106984 | 140.391248930162 |
26 | 4199.75 | 4217.02339826659 | -17.2733982665886 |
27 | 4290.89 | 4391.40027088035 | -100.510270880351 |
28 | 4443.91 | 4533.88370146698 | -89.9737014669781 |
29 | 4502.64 | 4632.48542203175 | -129.845422031752 |
30 | 4356.98 | 4613.6483417335 | -256.668341733503 |
31 | 4591.27 | 4158.21487503664 | 433.055124963359 |
32 | 4696.96 | 4491.69926816083 | 205.260731839172 |
33 | 4621.4 | 4765.9242492627 | -144.524249262704 |
34 | 4562.84 | 4747.24615518697 | -184.406155186975 |
35 | 4202.52 | 4678.39475203288 | -475.874752032879 |
36 | 4296.49 | 4150.75837033177 | 145.731629668234 |
37 | 4435.23 | 4255.07810908536 | 180.151890914637 |
38 | 4105.18 | 4445.09564869543 | -339.91564869543 |
39 | 4116.68 | 4193.94661730321 | -77.2666173032057 |
40 | 3844.49 | 4241.83793067068 | -397.347930670677 |
41 | 3720.98 | 3867.54902688718 | -146.569026887182 |
42 | 3674.4 | 3653.15282874672 | 21.2471712532843 |
43 | 3857.62 | 3402.43741968196 | 455.182580318040 |
44 | 3801.06 | 3663.70342094598 | 137.356579054023 |
45 | 3504.37 | 3746.06217649642 | -241.69217649642 |
46 | 3032.6 | 3487.58628066273 | -454.986280662727 |
47 | 3047.03 | 2954.27508070904 | 92.7549192909573 |
48 | 2962.34 | 2912.93021982351 | 49.4097801764929 |
49 | 2197.82 | 2832.39247361421 | -634.572473614209 |
50 | 2014.45 | 2011.17217036097 | 3.27782963902678 |
51 | 1862.83 | 1867.95929153018 | -5.12929153018263 |
52 | 1905.41 | 1721.00559015236 | 184.404409847640 |
53 | 1810.99 | 1769.78587813698 | 41.2041218630247 |
54 | 1670.07 | 1654.48280602717 | 15.5871939728315 |
55 | 1864.44 | 1433.03442239943 | 431.40557760057 |
56 | 2052.02 | 1674.65573155100 | 377.364268448996 |
57 | 2029.6 | 1967.70100363557 | 61.8989963644285 |
58 | 2070.83 | 2001.80549300778 | 69.0245069922157 |
59 | 2293.41 | 2076.08781223182 | 217.322187768176 |
60 | 2443.27 | 2274.38036988952 | 168.889630110483 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 2416.71570394995 | 1956.86969699156 | 2876.56171090834 |
62 | 2455.79179358273 | 1767.76260019310 | 3143.82098697235 |
63 | 2550.31272869058 | 1634.17344113523 | 3466.45201624593 |
64 | 2680.65977059481 | 1519.48977957618 | 3841.82976161344 |
65 | 2783.78612207790 | 1377.61431506305 | 4189.95792909274 |
66 | 2854.02988129776 | 1208.61907367176 | 4499.44068892377 |
67 | 2797.38145038882 | 980.660744445978 | 4614.10215633167 |
68 | 2716.01911918143 | 749.098026106781 | 4682.94021225608 |
69 | 2697.94865330974 | 539.53298718693 | 4856.36431943255 |
70 | 2743.24951877555 | 339.458614270698 | 5147.0404232804 |
71 | 2826.65811423442 | 134.022440995286 | 5519.29378747356 |
72 | 2834.39557499779 | -47.7551012753402 | 5716.54625127091 |