Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.373511042776394 |
beta | 0.00909734578251893 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 93 | 90.7626399476373 | 2.23736005236272 |
14 | 87 | 85.885787896059 | 1.11421210394097 |
15 | 89 | 88.6114326732123 | 0.388567326787694 |
16 | 92 | 91.6676461733725 | 0.332353826627482 |
17 | 98 | 97.3412364056725 | 0.658763594327468 |
18 | 92 | 91.168401138645 | 0.831598861355047 |
19 | 92 | 90.0878122556585 | 1.91218774434149 |
20 | 87 | 93.4508464783774 | -6.45084647837741 |
21 | 92 | 92.6931746271342 | -0.693174627134184 |
22 | 98 | 92.716936536819 | 5.28306346318102 |
23 | 101 | 95.4667733386968 | 5.5332266613032 |
24 | 102 | 99.2675375076998 | 2.73246249230019 |
25 | 102 | 101.692979736729 | 0.307020263271014 |
26 | 90 | 94.7887630758412 | -4.7887630758412 |
27 | 87 | 94.9788281228176 | -7.97882812281763 |
28 | 92 | 94.9499166765758 | -2.94991667657584 |
29 | 105 | 99.687138556331 | 5.31286144366892 |
30 | 90 | 95.1041093141956 | -5.10410931419564 |
31 | 88 | 92.4343723119153 | -4.43437231191533 |
32 | 83 | 88.0748444720858 | -5.07484447208577 |
33 | 98 | 91.3458622739151 | 6.65413772608485 |
34 | 109 | 97.8405971954542 | 11.1594028045458 |
35 | 118 | 102.887990859300 | 15.1120091406997 |
36 | 118 | 108.494246261581 | 9.50575373841885 |
37 | 115 | 111.934036314501 | 3.0659636854986 |
38 | 107 | 101.713438392532 | 5.28656160746831 |
39 | 101 | 103.518259211184 | -2.51825921118447 |
40 | 111 | 109.802419307191 | 1.19758069280938 |
41 | 128 | 123.445761586353 | 4.55423841364714 |
42 | 115 | 109.522841086785 | 5.47715891321491 |
43 | 111 | 111.163069326092 | -0.163069326092099 |
44 | 105 | 107.185085362127 | -2.18508536212738 |
45 | 120 | 122.379409751109 | -2.37940975110898 |
46 | 132 | 129.700417036171 | 2.29958296382898 |
47 | 135 | 134.058208951342 | 0.941791048657706 |
48 | 142 | 130.181452402792 | 11.8185475972083 |
49 | 139 | 129.875616334130 | 9.1243836658702 |
50 | 127 | 121.687176658782 | 5.31282334121799 |
51 | 113 | 117.840334277878 | -4.84033427787783 |
52 | 130 | 127.035302786418 | 2.96469721358189 |
53 | 143 | 145.798997223635 | -2.79899722363479 |
54 | 139 | 127.688213888111 | 11.3117861118893 |
55 | 137 | 127.423662240653 | 9.57633775934681 |
56 | 134 | 124.914865419943 | 9.08513458005665 |
57 | 139 | 147.786908234961 | -8.78690823496126 |
58 | 157 | 157.979956774861 | -0.97995677486125 |
59 | 152 | 160.838013178872 | -8.83801317887244 |
60 | 153 | 160.315987937495 | -7.31598793749484 |
61 | 147 | 150.314188458132 | -3.31418845813235 |
62 | 132 | 134.002251470766 | -2.00225147076577 |
63 | 117 | 120.382999554911 | -3.38299955491098 |
64 | 123 | 135.825886484309 | -12.8258864843092 |
65 | 139 | 145.114987861629 | -6.11498786162855 |
66 | 134 | 134.322702108223 | -0.322702108222501 |
67 | 134 | 128.575952189562 | 5.42404781043794 |
68 | 128 | 124.277599055681 | 3.72240094431938 |
69 | 118 | 133.217807005481 | -15.2178070054806 |
70 | 144 | 144.256997137560 | -0.256997137560319 |
71 | 140 | 142.371677286859 | -2.37167728685895 |
72 | 151 | 144.771578776355 | 6.22842122364494 |
73 | 144 | 142.415576828681 | 1.5844231713194 |
74 | 135 | 129.065124727371 | 5.93487527262945 |
75 | 122 | 117.548478509584 | 4.45152149041594 |
76 | 124 | 129.869070846281 | -5.8690708462806 |
77 | 146 | 146.564514681817 | -0.564514681816547 |
78 | 146 | 141.19988053239 | 4.80011946761013 |
79 | 147 | 140.769207503633 | 6.23079249636666 |
80 | 148 | 135.172348446859 | 12.8276515531415 |
81 | 132 | 134.791961754875 | -2.79196175487539 |
82 | 161 | 163.374736171705 | -2.37473617170534 |
83 | 159 | 159.004491639959 | -0.00449163995881463 |
84 | 173 | 168.832959185330 | 4.16704081466963 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 161.858561825761 | 150.123013955486 | 173.594109696037 |
86 | 149.213768800595 | 136.795030289055 | 161.632507312136 |
87 | 132.981614256612 | 120.082387859530 | 145.880840653694 |
88 | 137.489660098904 | 123.725832588980 | 151.253487608828 |
89 | 162.139783985959 | 146.731885454870 | 177.547682517048 |
90 | 160.131188383047 | 144.165785027919 | 176.096591738174 |
91 | 158.618845241228 | 142.098391841271 | 175.139298641184 |
92 | 154.229969759351 | 137.341785262358 | 171.118154256344 |
93 | 138.602498657158 | 122.057751410036 | 155.147245904281 |
94 | 169.950555024538 | 150.625180674227 | 189.275929374849 |
95 | 167.821139854713 | 148.101900772924 | 187.540378936501 |
96 | 180.908500239743 | 150.662431825259 | 211.154568654228 |