Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.640813350950387 |
gamma | 0.0132538546896654 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 321.9 | 232.266313151761 | 89.6336868482385 |
14 | 362.7 | 424.105164663350 | -61.4051646633504 |
15 | 413.6 | 439.765982393856 | -26.1659823938562 |
16 | 407.1 | 417.695074950639 | -10.5950749506388 |
17 | 383.2 | 388.403694396960 | -5.20369439696043 |
18 | 347.7 | 353.597581998779 | -5.89758199877889 |
19 | 333.8 | 282.434728471431 | 51.3652715285689 |
20 | 312.3 | 337.787962975724 | -25.4879629757245 |
21 | 295.4 | 322.583749900528 | -27.1837499005278 |
22 | 283.3 | 270.549876133684 | 12.7501238663161 |
23 | 287.6 | 328.688040900699 | -41.0880409006987 |
24 | 265.7 | 321.482017935623 | -55.7820179356235 |
25 | 250.2 | 269.356770640194 | -19.1567706401941 |
26 | 234.7 | 180.528904238534 | 54.1710957614658 |
27 | 244 | 198.185710326222 | 45.8142896737777 |
28 | 231.2 | 203.865633998877 | 27.3343660011232 |
29 | 223.8 | 201.691554415966 | 22.1084455840337 |
30 | 223.5 | 203.802540546999 | 19.6974594530012 |
31 | 210.5 | 190.838126701136 | 19.6618732988645 |
32 | 201.6 | 214.107213908746 | -12.5072139087458 |
33 | 190.7 | 211.253968577793 | -20.553968577793 |
34 | 207.5 | 175.651909210897 | 31.8480907891033 |
35 | 198.8 | 257.992220671398 | -59.192220671398 |
36 | 196.6 | 219.776947524338 | -23.1769475243378 |
37 | 204.2 | 212.190526676053 | -7.99052667605304 |
38 | 227.4 | 172.215421338878 | 55.1845786611218 |
39 | 229.7 | 236.024807127731 | -6.32480712773136 |
40 | 217.9 | 202.086221362007 | 15.8137786379931 |
41 | 221.4 | 193.588061642078 | 27.811938357922 |
42 | 216.3 | 208.556181594702 | 7.74381840529841 |
43 | 197 | 184.506302165573 | 12.4936978344268 |
44 | 193.8 | 197.156854180762 | -3.35685418076247 |
45 | 196.8 | 204.777036474587 | -7.97703647458681 |
46 | 180.5 | 189.600765525653 | -9.10076552565283 |
47 | 174.8 | 207.557007956886 | -32.7570079568859 |
48 | 181.6 | 187.635103774232 | -6.03510377423228 |
49 | 190 | 202.309840874521 | -12.3098408745212 |
50 | 190.6 | 163.949053249528 | 26.6509467504724 |
51 | 179 | 183.325126363219 | -4.32512636321928 |
52 | 174.1 | 143.307455628881 | 30.7925443711193 |
53 | 161.1 | 152.649455661984 | 8.45054433801633 |
54 | 168.6 | 142.827673266112 | 25.7723267338880 |
55 | 169.4 | 146.333263826017 | 23.0667361739826 |
56 | 152.2 | 178.062411980083 | -25.8624119800834 |
57 | 148.3 | 155.979266925498 | -7.6792669254975 |
58 | 137.7 | 137.943961846718 | -0.243961846718207 |
59 | 145 | 157.519386599767 | -12.5193865997667 |
60 | 153.4 | 165.429132664147 | -12.0291326641474 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 178.093251040712 | 117.860407019853 | 238.326095061572 |
62 | 172.332598674871 | 50.1411476166094 | 294.524049733132 |
63 | 167.810049445170 | -36.214610360908 | 371.834709251248 |
64 | 139.588179235370 | -128.767673374502 | 407.944031845242 |
65 | 109.355192181661 | -211.389234931566 | 430.099619294888 |
66 | 81.2918193655818 | -279.551594597375 | 442.135233328538 |
67 | 51.5973899941917 | -301.716044738163 | 404.910824726546 |
68 | 34.9426157839616 | -352.811245948082 | 422.696477516005 |
69 | 22.5144941487851 | -428.189482833777 | 473.218471131347 |
70 | 10.0355827945042 | -475.121983083101 | 495.19314867211 |
71 | -0.541713241566507 | -635.840853210128 | 634.757426726995 |
72 | -14.6453323552816 | -878.233768694767 | 848.943103984204 |