Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.941725131736059 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 104.78 | 103.790849714984 | 0.989150285015697 |
14 | 105.56 | 105.614037111009 | -0.0540371110088813 |
15 | 107.95 | 108.069103444206 | -0.119103444205763 |
16 | 107.11 | 107.252552972171 | -0.142552972170506 |
17 | 107.47 | 107.355902812289 | 0.114097187710854 |
18 | 107.06 | 106.692353105822 | 0.367646894178492 |
19 | 99.71 | 102.036699270851 | -2.32669927085055 |
20 | 99.6 | 98.6670695020924 | 0.932930497907591 |
21 | 107.19 | 107.453475020569 | -0.263475020569501 |
22 | 107.26 | 106.858858331684 | 0.40114166831583 |
23 | 113.24 | 107.438016856275 | 5.8019831437247 |
24 | 113.52 | 113.519211794608 | 0.00078820539215485 |
25 | 110.48 | 110.693926844879 | -0.213926844878543 |
26 | 111.41 | 111.361179487767 | 0.0488205122330356 |
27 | 115.5 | 114.040147257594 | 1.45985274240644 |
28 | 118.32 | 114.650743351674 | 3.66925664832605 |
29 | 118.42 | 118.370358013151 | 0.0496419868489539 |
30 | 117.5 | 117.569718917193 | -0.0697189171925885 |
31 | 110.23 | 111.825842497473 | -1.59584249747313 |
32 | 109.19 | 109.214873198194 | -0.0248731981941717 |
33 | 118.41 | 117.770882036347 | 0.639117963653277 |
34 | 118.3 | 118.018272137282 | 0.2817278627181 |
35 | 116.1 | 118.820357978662 | -2.72035797866249 |
36 | 114.11 | 116.541503362267 | -2.43150336226712 |
37 | 113.41 | 111.393959548435 | 2.0160404515654 |
38 | 114.33 | 114.195554287637 | 0.134445712363146 |
39 | 116.61 | 117.103653357213 | -0.493653357213276 |
40 | 123.64 | 115.989380531868 | 7.65061946813211 |
41 | 123.77 | 123.243870876974 | 0.52612912302645 |
42 | 123.39 | 122.840417428362 | 0.549582571638069 |
43 | 116.03 | 117.295430711571 | -1.2654307115712 |
44 | 114.95 | 115.026084125287 | -0.076084125286755 |
45 | 123.4 | 124.019954786072 | -0.619954786071744 |
46 | 123.53 | 123.038940302083 | 0.491059697916626 |
47 | 114.45 | 123.869343813906 | -9.4193438139056 |
48 | 114.26 | 115.294386882796 | -1.03438688279613 |
49 | 114.35 | 111.714710672838 | 2.63528932716223 |
50 | 112.77 | 114.994360348226 | -2.22436034822555 |
51 | 115.31 | 115.61180977227 | -0.301809772269877 |
52 | 114.93 | 115.130479456671 | -0.200479456671331 |
53 | 116.38 | 114.611605513967 | 1.76839448603272 |
54 | 115.07 | 115.441961003818 | -0.371961003818257 |
55 | 105 | 109.346304625988 | -4.34630462598807 |
56 | 103.43 | 104.350630591449 | -0.920630591449154 |
57 | 114.52 | 111.63013244262 | 2.88986755738046 |
58 | 115.04 | 114.053636035761 | 0.986363964238649 |
59 | 117.16 | 114.757645518169 | 2.40235448183077 |
60 | 115 | 117.818059500949 | -2.81805950094861 |
61 | 116.22 | 112.749132650201 | 3.47086734979895 |
62 | 112.92 | 116.53554185632 | -3.61554185631958 |
63 | 116.56 | 115.96345851498 | 0.596541485020069 |
64 | 114.32 | 116.330525638085 | -2.01052563808499 |
65 | 113.22 | 114.221872904957 | -1.00187290495687 |
66 | 111.56 | 112.347860495145 | -0.787860495144784 |
67 | 103.87 | 105.803250085783 | -1.93325008578299 |
68 | 102.85 | 103.287263454452 | -0.437263454452051 |
69 | 112.27 | 111.195918319096 | 1.0740816809037 |
70 | 112.76 | 111.809139054366 | 0.950860945633693 |
71 | 118.55 | 112.565290226603 | 5.98470977339736 |
72 | 122.73 | 118.694411658553 | 4.03558834144697 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 120.297731771146 | 115.358288679007 | 125.237174863285 |
74 | 120.394898370523 | 113.611001754639 | 127.178794986408 |
75 | 123.667426802851 | 115.304478099103 | 132.0303755066 |
76 | 123.289081638014 | 113.748918979928 | 132.829244296101 |
77 | 123.108840329135 | 112.516615526644 | 133.701065131626 |
78 | 122.098221553074 | 110.617799328792 | 133.578643777355 |
79 | 115.659882715473 | 103.830837407131 | 127.488928023814 |
80 | 114.967801954042 | 102.333656848712 | 127.601947059371 |
81 | 124.349873882593 | 109.945287081089 | 138.754460684097 |
82 | 123.885316927206 | 108.813962773139 | 138.956671081274 |
83 | 124.02254494628 | 108.249930618765 | 139.795159273795 |
84 | 124.405573723839 | 84.6225348340652 | 164.188612613614 |