Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0904208023746893 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 101.7 | 88.1 | 13.6 |
3 | 114.8 | 89.3297229122958 | 25.4702770877042 |
4 | 103.4 | 91.6327658032716 | 11.7672341967284 |
5 | 96.4 | 92.6967685610707 | 3.70323143892931 |
6 | 110 | 93.0316177191579 | 16.9683822808421 |
7 | 71.1 | 94.5659124599921 | -23.4659124599921 |
8 | 79.4 | 92.4441058269054 | -13.0441058269054 |
9 | 119.2 | 91.2646473117762 | 27.9353526882238 |
10 | 99.1 | 93.7905843164654 | 5.30941568353464 |
11 | 113.2 | 94.2706659427113 | 18.9293340572887 |
12 | 103.6 | 95.9822715165899 | 7.6177284834101 |
13 | 97.5 | 96.6710726383324 | 0.828927361667638 |
14 | 102.4 | 96.7460249154847 | 5.65397508451532 |
15 | 120.8 | 97.2572618792331 | 23.5427381207669 |
16 | 89.5 | 99.38601515021 | -9.88601515020999 |
17 | 101.7 | 98.4921137280397 | 3.20788627196033 |
18 | 112.5 | 98.7821733786771 | 13.7178266213229 |
19 | 72.4 | 100.022550268614 | -27.622550268614 |
20 | 84.7 | 97.5248971096907 | -12.8248971096907 |
21 | 117.2 | 96.3652596226597 | 20.8347403773404 |
22 | 112.8 | 98.2491535648471 | 14.5508464351529 |
23 | 111.3 | 99.5648527747445 | 11.7351472252555 |
24 | 102.3 | 100.625954202837 | 1.67404579716276 |
25 | 95.2 | 100.777322767029 | -5.57732276702866 |
26 | 103 | 100.273016767331 | 2.72698323266869 |
27 | 116.4 | 100.519592779292 | 15.8804072207085 |
28 | 95.1 | 101.955511942225 | -6.85551194222482 |
29 | 100.7 | 101.33563105172 | -0.635631051719585 |
30 | 112.4 | 101.278156782009 | 11.1218432179912 |
31 | 75.3 | 102.283802769665 | -26.9838027696651 |
32 | 93.3 | 99.8439056721116 | -6.54390567211161 |
33 | 118.6 | 99.252200470575 | 19.347799529425 |
34 | 118.7 | 101.00164402821 | 17.6983559717898 |
35 | 110.7 | 102.601943575892 | 8.09805642410767 |
36 | 113.3 | 103.334176335436 | 9.96582366456434 |
37 | 89.5 | 104.23529410751 | -14.7352941075102 |
38 | 106.3 | 102.902916991082 | 3.39708300891787 |
39 | 115.1 | 103.210083962482 | 11.8899160375181 |
40 | 105.7 | 104.285179710762 | 1.41482028923802 |
41 | 95.8 | 104.413108896531 | -8.61310889653087 |
42 | 114.7 | 103.634304679166 | 11.065695320834 |
43 | 79.6 | 104.63487372891 | -25.0348737289096 |
44 | 80.6 | 102.371200358993 | -21.7712003589926 |
45 | 125 | 100.402630953872 | 24.5973690461276 |
46 | 127.5 | 102.62674479933 | 24.8732552006704 |
47 | 99.5 | 104.875804492245 | -5.37580449224461 |
48 | 104.3 | 104.389719936646 | -0.0897199366464037 |
49 | 90 | 104.381607387986 | -14.3816073879858 |
50 | 96 | 103.081210908526 | -7.08121090852639 |
51 | 108.9 | 102.440922136393 | 6.45907786360698 |
52 | 95.8 | 103.024957139421 | -7.22495713942097 |
53 | 87.2 | 102.371670717752 | -15.1716707177518 |
54 | 108.4 | 100.999836078088 | 7.40016392191191 |
55 | 74.9 | 101.668964837612 | -26.7689648376116 |
56 | 80.8 | 99.2484935582549 | -18.4484935582549 |
57 | 119.1 | 97.5803659681132 | 21.5196340318868 |
58 | 107.9 | 99.5261885440861 | 8.37381145591392 |
59 | 106.9 | 100.283355294864 | 6.61664470513583 |
60 | 96.8 | 100.881637618131 | -4.0816376181308 |
61 | 93.7 | 100.512572669697 | -6.81257266969669 |
62 | 95.2 | 99.8965743826668 | -4.69657438266684 |
63 | 112.7 | 99.4719063585737 | 13.2280936414263 |
64 | 98.5 | 100.668001199519 | -2.16800119951898 |
65 | 91.5 | 100.471968791509 | -8.97196879150918 |
66 | 112 | 99.6607161745003 | 12.3392838254997 |
67 | 76.7 | 100.776444118731 | -24.076444118731 |
68 | 84.7 | 98.5994327231859 | -13.8994327231859 |
69 | 114.9 | 97.3426348638025 | 17.5573651361975 |
70 | 108.4 | 98.9301859070028 | 9.46981409299717 |
71 | 104.6 | 99.7864540956308 | 4.81354590436921 |
72 | 111.3 | 100.221698778571 | 11.0783012214287 |
73 | 90.8 | 101.223407663961 | -10.4234076639613 |
74 | 109.1 | 100.280914779507 | 8.81908522049252 |
75 | 121 | 101.078343541355 | 19.9216564586448 |
76 | 95.2 | 102.879675702979 | -7.67967570297874 |
77 | 110.5 | 102.185273263938 | 8.314726736062 |
78 | 102.4 | 102.937097526939 | -0.537097526939007 |
79 | 86.7 | 102.8885327376 | -16.1885327375997 |
80 | 99.1 | 101.424752618197 | -2.32475261819704 |
81 | 126 | 101.214546621137 | 24.785453378863 |
82 | 110.3 | 103.455667202874 | 6.84433279712574 |
83 | 104.6 | 104.07453726611 | 0.525462733890237 |
84 | 103.1 | 104.122050028126 | -1.02205002812612 |
85 | 102 | 104.029635444516 | -2.02963544451588 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
86 | 103.846114179095 | 76.4703655258422 | 131.221862832347 |
87 | 103.846114179095 | 76.3586823533318 | 131.333546004857 |
88 | 103.846114179095 | 76.2474511240503 | 131.444777234139 |
89 | 103.846114179095 | 76.1366663954275 | 131.555561962762 |
90 | 103.846114179095 | 76.0263228332616 | 131.665905524928 |
91 | 103.846114179095 | 75.9164152087227 | 131.775813149467 |
92 | 103.846114179095 | 75.8069383954611 | 131.885289962728 |
93 | 103.846114179095 | 75.6978873668172 | 131.994340991372 |
94 | 103.846114179095 | 75.5892571931289 | 132.10297116506 |
95 | 103.846114179095 | 75.4810430391304 | 132.211185319059 |
96 | 103.846114179095 | 75.3732401614416 | 132.318988196748 |
97 | 103.846114179095 | 75.2658439061415 | 132.426384452048 |