Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.567235557693194 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 104.2 | 102.569738247863 | 1.63026175213678 |
14 | 104.2 | 103.414098980391 | 0.785901019609284 |
15 | 104.2 | 103.779508281909 | 0.42049171809127 |
16 | 104.2 | 103.937644434494 | 0.262355565506098 |
17 | 108.1 | 107.906080138376 | 0.193919861624039 |
18 | 109.2 | 109.0356966776 | 0.164303322399647 |
19 | 109.2 | 108.014763662681 | 1.1852363373191 |
20 | 109.2 | 108.875856822513 | 0.324143177486704 |
21 | 109.2 | 109.248507323602 | -0.0485073236023794 |
22 | 109.2 | 109.409777209882 | -0.209777209881523 |
23 | 109.2 | 109.390819082278 | -0.190819082278026 |
24 | 109.2 | 109.248031345425 | -0.0480313454251728 |
25 | 109.2 | 109.845923874762 | -0.645923874762047 |
26 | 109.2 | 109.033741882284 | 0.166258117715685 |
27 | 109.2 | 108.889531544191 | 0.310468455809072 |
28 | 109.2 | 108.916822886354 | 0.283177113645834 |
29 | 112.1 | 112.867452773483 | -0.767452773482916 |
30 | 112.1 | 113.438927584801 | -1.33892758480094 |
31 | 112.1 | 112.007132054728 | 0.0928679452718626 |
32 | 112.1 | 111.875944519402 | 0.224055480597869 |
33 | 112.1 | 112.030551833649 | 0.0694481663509237 |
34 | 112.1 | 112.188938395658 | -0.0889383956583742 |
35 | 112.1 | 112.246728743751 | -0.14672874375124 |
36 | 112.1 | 112.190744069969 | -0.0907440699688919 |
37 | 112.1 | 112.505661796161 | -0.405661796160743 |
38 | 112.1 | 112.181248484857 | -0.0812484848571984 |
39 | 112.1 | 111.95905270756 | 0.140947292439506 |
40 | 112.1 | 111.878374895608 | 0.221625104392089 |
41 | 114.81 | 115.339415037266 | -0.529415037266318 |
42 | 114.81 | 115.798599338627 | -0.98859933862677 |
43 | 114.81 | 115.185152640718 | -0.375152640717587 |
44 | 114.81 | 114.845260487849 | -0.0352604878489302 |
45 | 114.81 | 114.785866015989 | 0.0241339840114279 |
46 | 114.81 | 114.85000469033 | -0.0400046903302638 |
47 | 114.81 | 114.910542368292 | -0.100542368291784 |
48 | 114.81 | 114.904984425078 | -0.0949844250781524 |
49 | 114.81 | 115.081211676927 | -0.271211676926853 |
50 | 114.81 | 114.973457799732 | -0.163457799732043 |
51 | 114.81 | 114.800788407509 | 0.00921159249053005 |
52 | 114.81 | 114.680299910624 | 0.129700089375575 |
53 | 115.57 | 117.764173447069 | -2.19417344706918 |
54 | 115.57 | 117.080328945326 | -1.51032894532636 |
55 | 115.57 | 116.436416581101 | -0.866416581101504 |
56 | 115.57 | 115.964955291015 | -0.394955291015293 |
57 | 115.57 | 115.727232952372 | -0.157232952372283 |
58 | 115.57 | 115.660736913775 | -0.090736913775487 |
59 | 115.57 | 115.666298916236 | -0.0962989162364636 |
60 | 115.57 | 115.665553290111 | -0.0955532901111837 |
61 | 115.57 | 115.76519297312 | -0.195192973120058 |
62 | 115.57 | 115.747191654345 | -0.177191654344824 |
63 | 115.57 | 115.64145710467 | -0.0714571046703441 |
64 | 117.3 | 115.527353591522 | 1.77264640847829 |
65 | 117.3 | 118.537474864552 | -1.23747486455161 |
66 | 118.39 | 118.692247401229 | -0.30224740122874 |
67 | 118.39 | 119.012264220607 | -0.622264220607178 |
68 | 118.39 | 118.883326513161 | -0.493326513161477 |
69 | 118.39 | 118.69268229477 | -0.302682294770122 |
70 | 118.39 | 118.572459338381 | -0.182459338381136 |
71 | 118.39 | 118.523586083275 | -0.133586083274835 |
72 | 118.39 | 118.502012530634 | -0.112012530634019 |
73 | 118.39 | 118.549195435317 | -0.159195435316747 |
74 | 118.39 | 118.559403530654 | -0.169403530653511 |
75 | 118.39 | 118.503844835087 | -0.113844835086894 |
76 | 121.18 | 119.16375992246 | 2.01624007754015 |
77 | 123.21 | 121.009382732212 | 2.20061726778803 |
78 | 123.21 | 123.519096568572 | -0.309096568572286 |
79 | 123.21 | 123.696736396326 | -0.486736396325767 |
80 | 123.21 | 123.700474544924 | -0.490474544924339 |
81 | 123.21 | 123.593952103178 | -0.383952103177648 |
82 | 123.21 | 123.479658242367 | -0.269658242367143 |
83 | 123.21 | 123.402473275318 | -0.192473275317909 |
84 | 123.21 | 123.356833079935 | -0.146833079934737 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 123.363845447484 | 122.026205029727 | 124.701485865242 |
86 | 123.45993715367 | 121.922083328218 | 124.997790979121 |
87 | 123.524513992191 | 121.809665051411 | 125.239362932971 |
88 | 125.170830927364 | 123.295619101747 | 127.04604275298 |
89 | 125.952562564201 | 123.929660714834 | 127.975464413567 |
90 | 126.127893128656 | 123.967373655611 | 128.288412601701 |
91 | 126.403987319875 | 124.114105904901 | 128.69386873485 |
92 | 126.6822019219 | 124.269885732864 | 129.094518110936 |
93 | 126.899993207273 | 124.37116306329 | 129.428823351257 |
94 | 127.052952950769 | 124.412745686489 | 129.693160215049 |
95 | 127.162130636435 | 124.415058213 | 129.90920305987 |
96 | 127.24541958042 | 124.395486352985 | 130.095352807854 |