Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.553341713987221 |
beta | 0 |
gamma | 0.844083465078655 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.5 | 1.41893876910371 | 0.0810612308962884 |
14 | 1.6 | 1.54887584608295 | 0.0511241539170475 |
15 | 1.7 | 1.68136239390808 | 0.0186376060919151 |
16 | 1.1 | 1.08280563043064 | 0.0171943695693588 |
17 | 1.6 | 1.56375566213877 | 0.0362443378612345 |
18 | 1.3 | 1.27387321470486 | 0.0261267852951392 |
19 | 1.7 | 1.36491384724107 | 0.335086152758934 |
20 | 1.6 | 1.82246058015649 | -0.222460580156485 |
21 | 1.7 | 1.92866313091967 | -0.228663130919671 |
22 | 1.9 | 1.32986489075222 | 0.57013510924778 |
23 | 1.8 | 2.11355119233864 | -0.313551192338636 |
24 | 1.9 | 1.81445622294131 | 0.0855437770586895 |
25 | 1.6 | 2.19470352895315 | -0.594703528953154 |
26 | 1.5 | 1.95022904457696 | -0.45022904457696 |
27 | 1.6 | 1.79708414577162 | -0.197084145771615 |
28 | 1.6 | 1.08250573695895 | 0.517494263041052 |
29 | 1.7 | 1.95840018769848 | -0.258400187698482 |
30 | 2 | 1.45588632182518 | 0.544113678174821 |
31 | 2 | 1.98956097184463 | 0.0104390281553715 |
32 | 1.9 | 2.05727768595704 | -0.157277685957041 |
33 | 1.7 | 2.23381218056110 | -0.533812180561104 |
34 | 1.8 | 1.69559181661626 | 0.104408183383736 |
35 | 1.9 | 1.87207458653634 | 0.0279254134636573 |
36 | 1.7 | 1.91157141539358 | -0.211571415393579 |
37 | 2 | 1.83074270791164 | 0.169257292088362 |
38 | 2.1 | 2.05386497901739 | 0.0461350209826064 |
39 | 2.4 | 2.32265111717495 | 0.077348882825051 |
40 | 2.5 | 1.8029790458527 | 0.697020954147298 |
41 | 2.5 | 2.58360963788585 | -0.0836096378858513 |
42 | 2.6 | 2.39017044505937 | 0.209829554940633 |
43 | 2.2 | 2.53986759559519 | -0.339867595595188 |
44 | 2.5 | 2.34313315453827 | 0.156866845461731 |
45 | 2.8 | 2.53907562490880 | 0.260924375091197 |
46 | 2.8 | 2.66520817257876 | 0.134791827421243 |
47 | 2.9 | 2.86413366372172 | 0.0358663362782807 |
48 | 3 | 2.76337592284359 | 0.236624077156410 |
49 | 3.1 | 3.1752437055419 | -0.0752437055418973 |
50 | 2.9 | 3.24921777324037 | -0.349217773240373 |
51 | 2.7 | 3.41375905686105 | -0.71375905686105 |
52 | 2.2 | 2.53962118754568 | -0.339621187545684 |
53 | 2.5 | 2.44868127014259 | 0.0513187298574125 |
54 | 2.3 | 2.43760728189445 | -0.137607281894450 |
55 | 2.6 | 2.19540617847323 | 0.404593821526769 |
56 | 2.3 | 2.60922356027274 | -0.309223560272744 |
57 | 2.2 | 2.57877530788985 | -0.378775307889845 |
58 | 1.8 | 2.31551823875185 | -0.515518238751847 |
59 | 1.8 | 2.10019434842643 | -0.300194348426426 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
60 | 1.90935052329672 | 1.33464623585302 | 2.48405481074042 |
61 | 2.02264668970715 | 1.34575824426485 | 2.69953513514946 |
62 | 2.03389952170057 | 1.27776359334414 | 2.79003545005699 |
63 | 2.17063004510033 | 1.31705579025328 | 3.02420429994738 |
64 | 1.90039992486478 | 1.05435390254632 | 2.74644594718325 |
65 | 2.11267824041330 | 1.1449013696028 | 3.08045511122381 |
66 | 2.02119494632359 | 1.03284060000782 | 3.00954929263936 |
67 | 2.04535069926650 | 0.999331002665473 | 3.09137039586754 |
68 | 1.98048045358057 | 0.91401774264963 | 3.04694316451151 |
69 | 2.07074736656975 | 0.922821646960254 | 3.21867308617925 |
70 | 1.94899880761724 | 0.814580887873234 | 3.08341672736124 |
71 | 2.09768248461301 | -19.8481061927748 | 24.0434711620008 |