Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.558149525043339 |
beta | 0 |
gamma | 0.210439498485435 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 123.39 | 118.324142628205 | 5.06585737179483 |
14 | 120.28 | 117.878205915142 | 2.40179408485788 |
15 | 115.33 | 114.319490210457 | 1.01050978954348 |
16 | 110.4 | 110.420479837141 | -0.0204798371409112 |
17 | 114.49 | 114.805606426700 | -0.315606426700157 |
18 | 132.03 | 132.178508250469 | -0.148508250469234 |
19 | 123.16 | 122.573425841937 | 0.586574158062803 |
20 | 118.82 | 116.016545997262 | 2.80345400273828 |
21 | 128.32 | 134.036599918303 | -5.71659991830336 |
22 | 112.24 | 117.172439789972 | -4.93243978997194 |
23 | 104.53 | 100.288874931493 | 4.24112506850672 |
24 | 132.57 | 130.029280941729 | 2.54071905827124 |
25 | 122.52 | 132.249143709074 | -9.72914370907434 |
26 | 131.8 | 123.297672126277 | 8.50232787372252 |
27 | 124.55 | 123.014600959619 | 1.53539904038105 |
28 | 120.96 | 119.31269297798 | 1.64730702201990 |
29 | 122.6 | 124.601252316458 | -2.00125231645791 |
30 | 145.52 | 141.048848942491 | 4.47115105750910 |
31 | 118.57 | 134.090577197526 | -15.5205771975257 |
32 | 134.25 | 118.749630152202 | 15.5003698477983 |
33 | 136.7 | 143.064243217082 | -6.36424321708157 |
34 | 121.37 | 125.911514687526 | -4.54151468752563 |
35 | 111.63 | 110.0991281657 | 1.53087183430006 |
36 | 134.42 | 138.168699121546 | -3.74869912154617 |
37 | 137.65 | 135.737240017102 | 1.91275998289802 |
38 | 137.86 | 134.978904587097 | 2.88109541290305 |
39 | 119.77 | 130.910540695208 | -11.1405406952082 |
40 | 130.69 | 120.143968487292 | 10.5460315127081 |
41 | 128.28 | 130.060093438373 | -1.78009343837269 |
42 | 147.45 | 147.232951926130 | 0.217048073869762 |
43 | 128.42 | 136.041367904197 | -7.62136790419717 |
44 | 136.9 | 127.993775051947 | 8.9062249480534 |
45 | 143.95 | 146.594836496423 | -2.64483649642332 |
46 | 135.64 | 131.687575449830 | 3.95242455017018 |
47 | 122.48 | 121.180704534332 | 1.29929546566818 |
48 | 136.83 | 148.630112000102 | -11.8001120001017 |
49 | 153.04 | 142.231178897901 | 10.8088211020988 |
50 | 142.71 | 146.528214288553 | -3.81821428855315 |
51 | 123.46 | 137.416862989954 | -13.9568629899545 |
52 | 144.37 | 127.094839871366 | 17.2751601286337 |
53 | 146.15 | 139.620707246508 | 6.52929275349192 |
54 | 147.61 | 161.617145485194 | -14.0071454851938 |
55 | 158.51 | 141.757496778861 | 16.7525032211392 |
56 | 147.4 | 148.850950253000 | -1.45095025300023 |
57 | 165.05 | 160.597109330442 | 4.4528906695584 |
58 | 154.64 | 150.264873084438 | 4.37512691556196 |
59 | 126.2 | 139.747237942662 | -13.5472379426617 |
60 | 157.36 | 157.692040353663 | -0.332040353663331 |
61 | 154.15 | 159.796247726105 | -5.64624772610517 |
62 | 123.21 | 153.548831671235 | -30.3388316712351 |
63 | 113.07 | 128.692290509669 | -15.6222905096693 |
64 | 110.45 | 120.344750532434 | -9.89475053243387 |
65 | 113.57 | 116.706564421809 | -3.13656442180904 |
66 | 122.44 | 131.398473696496 | -8.9584736964959 |
67 | 114.93 | 117.216856779711 | -2.28685677971127 |
68 | 111.85 | 111.990892577709 | -0.140892577709209 |
69 | 126.04 | 125.017215338995 | 1.02278466100462 |
70 | 121.34 | 112.763236362479 | 8.57676363752145 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
71 | 102.924271231338 | 86.1005462509806 | 119.747996211696 |
72 | 129.659244039039 | 110.392362704154 | 148.926125373924 |
73 | 131.454649736528 | 110.021317971952 | 152.887981501104 |
74 | 126.062698762572 | 102.662640970160 | 149.462756554983 |
75 | 119.508147179691 | 94.2943077488146 | 144.721986610568 |
76 | 120.412743890928 | 93.5071182151721 | 147.318369566683 |
77 | 122.925703106227 | 94.4285508421546 | 151.422855370299 |
78 | 138.826946942014 | 108.822569239426 | 168.831324644602 |
79 | 130.26584343449 | 98.826414758425 | 161.705272110555 |
80 | 126.515825001723 | 93.7040486152604 | 159.327601388185 |
81 | 139.728988847396 | 105.600003163771 | 173.85797453102 |
82 | 127.606533156748 | 92.2093205835683 | 163.003745729928 |