Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.46970488241959 |
beta | 0.220607460394909 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 4652.25 | 8319.27 | -3667.02 |
4 | 4211.65 | 8580.4047182938 | -4368.7547182938 |
5 | 4787.85 | 8059.23909638813 | -3271.38909638813 |
6 | 3599.73 | 7714.5288140925 | -4114.79881409250 |
7 | 4174.27 | 6547.2877653495 | -2373.0177653495 |
8 | 5106.33 | 5952.27672629837 | -845.946726298374 |
9 | 5325.75 | 5986.88107087961 | -661.131070879613 |
10 | 6604.61 | 6039.78756431809 | 564.822435681908 |
11 | 5711.9 | 6727.05753282585 | -1015.15753282585 |
12 | 6919.3 | 6567.01216512138 | 352.287834878615 |
13 | 7048.76 | 7085.76676987385 | -37.0067698738485 |
14 | 8655.98 | 7417.83314173134 | 1238.14685826866 |
15 | 6658.53 | 8477.1426728173 | -1818.61267281729 |
16 | 7247.03 | 7912.23195290176 | -665.201952901763 |
17 | 8779.57 | 7820.15538629656 | 959.414613703439 |
18 | 6602.49 | 8590.58408031849 | -1988.09408031849 |
19 | 9832.48 | 7770.54644346737 | 2061.93355653262 |
20 | 9369.49 | 9066.48494404933 | 303.005055950665 |
21 | 8582.76 | 9567.64364555806 | -984.883645558057 |
22 | 8206.94 | 9361.82069742208 | -1154.88069742208 |
23 | 6515.83 | 8956.48010277087 | -2440.65010277087 |
24 | 8618.1 | 7694.30619781219 | 923.793802187813 |
25 | 8505.39 | 8108.1519060904 | 397.238093909603 |
26 | 9881.64 | 8315.8337980054 | 1565.80620199459 |
27 | 9375.29 | 9234.6473026514 | 140.642697348596 |
28 | 15642.5 | 9498.6280036505 | 6143.8719963495 |
29 | 12232.73 | 13218.9852981385 | -986.255298138454 |
30 | 6288.93 | 13488.0908204085 | -7199.16082040846 |
31 | 12473.94 | 10092.9843520137 | 2380.95564798626 |
32 | 11142.82 | 11444.4209425648 | -301.600942564832 |
33 | 10236.32 | 11504.5955944826 | -1268.27559448258 |
34 | 10581.51 | 10979.2992166929 | -397.789216692929 |
35 | 8763.71 | 10821.6554623859 | -2057.94546238590 |
36 | 10819.04 | 9670.98307934336 | 1148.05692065665 |
37 | 11636.25 | 10145.1477874361 | 1491.10221256395 |
38 | 14650.13 | 10934.9511535929 | 3715.17884640715 |
39 | 10671.38 | 13154.3824963053 | -2483.00249630528 |
40 | 17468.63 | 12205.2080852625 | 5263.42191473749 |
41 | 13873.19 | 15439.9649321112 | -1566.7749321112 |
42 | 13077.58 | 15304.1951249811 | -2226.61512498115 |
43 | 16866.81 | 14627.7724049732 | 2239.03759502684 |
44 | 14186.64 | 16280.8985447441 | -2094.25854474408 |
45 | 19919.87 | 15681.6464199761 | 4238.22358002393 |
46 | 17681.78 | 18495.9584949773 | -814.178494977332 |
47 | 9984.28 | 18852.7671450685 | -8868.48714506849 |
48 | 17423.09 | 14507.4715012834 | 2915.61849871662 |
49 | 13514.45 | 15999.3453720487 | -2484.89537204871 |
50 | 12334.57 | 14697.0856546356 | -2362.51565463564 |
51 | 12274.56 | 13207.5034679181 | -932.943467918087 |
52 | 11752.23 | 12292.7263405878 | -540.496340587813 |
53 | 13054 | 11506.2770973726 | 1547.72290262742 |
54 | 12460.98 | 11861.0502964455 | 599.929703554539 |
55 | 8626.68 | 11832.8053589912 | -3206.12535899124 |
56 | 13722.62 | 9684.61777975887 | 4038.00222024113 |
57 | 12066.22 | 11357.4517036547 | 708.768296345341 |
58 | 6798.83 | 11539.9710540372 | -4741.14105403718 |
59 | 6593.82 | 8671.36243541919 | -2077.54243541919 |
60 | 6606.19 | 6838.58331200908 | -232.393312009085 |
61 | 6315.28 | 5848.39905241974 | 466.88094758026 |
62 | 7232.95 | 5235.04571783208 | 1997.90428216792 |
63 | 6747.44 | 5547.84516196726 | 1199.59483803274 |
64 | 7803.61 | 5609.97726095967 | 2193.63273904033 |
65 | 6700.31 | 6366.31891997047 | 333.991080029528 |
66 | 5369.53 | 6283.78610191817 | -914.256101918173 |
67 | 8081.19 | 5520.20990391648 | 2560.98009608352 |
68 | 10718.39 | 6654.33890081583 | 4064.05109918417 |
69 | 9447.21 | 8915.58629207526 | 531.62370792474 |
70 | 6815.1 | 9572.72235279432 | -2757.62235279431 |
71 | 5497.8 | 8399.13754463364 | -2901.33754463364 |
72 | 6805.31 | 6857.41124866409 | -52.1012486640857 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 6648.58639978656 | 1465.46817057974 | 11831.7046289934 |
74 | 6464.23376178672 | 489.688022630242 | 12438.7795009432 |
75 | 6279.88112378688 | -648.762245195107 | 13208.5244927689 |
76 | 6095.52848578704 | -1927.83265352139 | 14118.8896250955 |
77 | 5911.17584778719 | -3328.77950161712 | 15151.1311971915 |
78 | 5726.82320978735 | -4836.81037692102 | 16290.4567964957 |
79 | 5542.47057178751 | -6440.51595142701 | 17525.4570950020 |
80 | 5358.11793378766 | -8131.08190167112 | 18847.3177692465 |
81 | 5173.76529578782 | -9901.60853269376 | 20249.1391242694 |
82 | 4989.41265778798 | -11746.5970391545 | 21725.4223547304 |
83 | 4805.06001978813 | -13661.5798662883 | 23271.6999058645 |
84 | 4620.70738178829 | -15642.8585271066 | 24884.2732906832 |