Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.288014681387039 |
beta | 0.0200262579833585 |
gamma | 0.753447853707694 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.28 | 1.27188034188034 | 0.00811965811965831 |
14 | 1.27 | 1.26564104702328 | 0.00435895297672162 |
15 | 1.26 | 1.25709375568712 | 0.00290624431287578 |
16 | 1.27 | 1.26564482572761 | 0.00435517427239018 |
17 | 1.27 | 1.26630499555482 | 0.00369500444517734 |
18 | 1.28 | 1.2780463390343 | 0.00195366096569738 |
19 | 1.27 | 1.27513075179542 | -0.00513075179542222 |
20 | 1.26 | 1.28431182289987 | -0.0243118228998691 |
21 | 1.3 | 1.26782823682033 | 0.0321717631796739 |
22 | 1.31 | 1.27696498156309 | 0.0330350184369139 |
23 | 1.28 | 1.30737423106667 | -0.0273742310666718 |
24 | 1.29 | 1.28981017252353 | 0.000189827476470672 |
25 | 1.31 | 1.30412513608944 | 0.00587486391056347 |
26 | 1.29 | 1.29540487831523 | -0.00540487831522762 |
27 | 1.29 | 1.28339282504135 | 0.00660717495865248 |
28 | 1.32 | 1.29393509477862 | 0.0260649052213773 |
29 | 1.3 | 1.30076706826717 | -0.000767068267170323 |
30 | 1.29 | 1.31053662620739 | -0.0205366262073923 |
31 | 1.31 | 1.29746088579703 | 0.0125391142029743 |
32 | 1.29 | 1.30166125720612 | -0.0116612572061219 |
33 | 1.33 | 1.31941414289416 | 0.0105858571058413 |
34 | 1.35 | 1.32296506630213 | 0.0270349336978717 |
35 | 1.32 | 1.31937357629699 | 0.000626423703008028 |
36 | 1.33 | 1.32495573071778 | 0.0050442692822239 |
37 | 1.34 | 1.3440415918351 | -0.00404159183510244 |
38 | 1.34 | 1.3266801490652 | 0.0133198509348034 |
39 | 1.33 | 1.32687873363829 | 0.00312126636170929 |
40 | 1.33 | 1.347208732553 | -0.0172087325530035 |
41 | 1.35 | 1.32728756389958 | 0.0227124361004158 |
42 | 1.32 | 1.33345388017674 | -0.0134538801767419 |
43 | 1.35 | 1.34044177643383 | 0.00955822356617375 |
44 | 1.32 | 1.33106470039638 | -0.0110647003963793 |
45 | 1.36 | 1.36119040309183 | -0.00119040309183061 |
46 | 1.37 | 1.3703723453362 | -0.000372345336195679 |
47 | 1.34 | 1.34476114296635 | -0.004761142966345 |
48 | 1.32 | 1.35117111839108 | -0.0311711183910828 |
49 | 1.34 | 1.3547530704438 | -0.0147530704438019 |
50 | 1.32 | 1.34335892904941 | -0.0233589290494109 |
51 | 1.33 | 1.32704988695665 | 0.00295011304334825 |
52 | 1.35 | 1.33595106996819 | 0.0140489300318074 |
53 | 1.33 | 1.34615470141484 | -0.0161547014148398 |
54 | 1.33 | 1.32120800544625 | 0.00879199455374735 |
55 | 1.35 | 1.34655854233316 | 0.00344145766683757 |
56 | 1.33 | 1.3239322288748 | 0.00606777112520351 |
57 | 1.36 | 1.36396367906806 | -0.00396367906805684 |
58 | 1.39 | 1.37244406178001 | 0.0175559382199917 |
59 | 1.37 | 1.34940387537196 | 0.0205961246280408 |
60 | 1.37 | 1.34885765578446 | 0.0211423442155365 |
61 | 1.39 | 1.3765237573185 | 0.0134762426814961 |
62 | 1.37 | 1.36901607961117 | 0.000983920388829329 |
63 | 1.39 | 1.37434443102541 | 0.015655568974585 |
64 | 1.39 | 1.39344511949641 | -0.00344511949640847 |
65 | 1.39 | 1.38289300948725 | 0.00710699051274877 |
66 | 1.37 | 1.37864804582089 | -0.00864804582088907 |
67 | 1.38 | 1.39662426387121 | -0.0166242638712109 |
68 | 1.37 | 1.37003079264637 | -3.0792646373401e-05 |
69 | 1.41 | 1.40329247696597 | 0.0067075230340321 |
70 | 1.41 | 1.42681995739463 | -0.0168199573946284 |
71 | 1.42 | 1.39574119166925 | 0.024258808330748 |
72 | 1.42 | 1.39679531483656 | 0.0232046851634413 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 1.42120728337016 | 1.39219009323734 | 1.45022447350298 |
74 | 1.40330340716521 | 1.37305991895241 | 1.43354689537801 |
75 | 1.41639980123297 | 1.38493201821051 | 1.44786758425544 |
76 | 1.42083562192288 | 1.38814446541485 | 1.45352677843091 |
77 | 1.41704685399032 | 1.38313231965559 | 1.45096138832505 |
78 | 1.40237277187912 | 1.36723405864582 | 1.43751148511241 |
79 | 1.41868033285875 | 1.38231595024477 | 1.45504471547273 |
80 | 1.40599161655868 | 1.36839947471802 | 1.44358375839935 |
81 | 1.44309233289251 | 1.40426981871678 | 1.48191484706823 |
82 | 1.45224352447966 | 1.41218756633886 | 1.49229948262045 |
83 | 1.44831936563803 | 1.40702648878812 | 1.48961224248793 |
84 | 1.44195495929465 | 1.39942133355888 | 1.48448858503043 |