Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.140747053607372 |
beta | 0.189738233389591 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 54 | 54 | 0 |
4 | 52 | 53 | -1 |
5 | 72 | 51.8325478490864 | 20.1674521509136 |
6 | 71 | 54.1829259928982 | 16.8170740071018 |
7 | 56 | 56.5108498822641 | -0.510849882264111 |
8 | 46 | 56.3862772432542 | -10.3862772432542 |
9 | 47 | 54.5944007556405 | -7.59440075564051 |
10 | 47 | 52.9926634465321 | -5.99266344653208 |
11 | 48 | 51.4563312838704 | -3.4563312838704 |
12 | 50 | 50.1846787368146 | -0.184678736814554 |
13 | 44 | 49.3685697825468 | -5.36856978254685 |
14 | 38 | 47.6794752589324 | -9.67947525893236 |
15 | 33 | 45.1251421624735 | -12.1251421624735 |
16 | 33 | 41.9027855539351 | -8.9027855539351 |
17 | 52 | 38.8962163892062 | 13.1037836107938 |
18 | 54 | 39.3369448108261 | 14.6630551891739 |
19 | 39 | 40.3887144285105 | -1.38871442851053 |
20 | 22 | 39.1441590133776 | -17.1441590133776 |
21 | 31 | 35.2242347599643 | -4.22423475996425 |
22 | 31 | 33.00994317774 | -2.00994317773998 |
23 | 38 | 31.0536308833998 | 6.94636911660021 |
24 | 42 | 30.5433966188594 | 11.4566033811406 |
25 | 41 | 30.9739142462246 | 10.0260857537754 |
26 | 31 | 31.4708383280602 | -0.470838328060172 |
27 | 36 | 30.4777774900707 | 5.52222250992926 |
28 | 34 | 30.4756937965925 | 3.52430620340751 |
29 | 51 | 30.2865262097162 | 20.7134737902838 |
30 | 47 | 33.0698386477761 | 13.9301613522239 |
31 | 31 | 35.2704261608838 | -4.27042616088384 |
32 | 19 | 34.795292461433 | -15.795292461433 |
33 | 30 | 32.2762529647976 | -2.27625296479758 |
34 | 33 | 31.5991908879968 | 1.40080911200324 |
35 | 36 | 31.4770732080806 | 4.5229267919194 |
36 | 40 | 31.9151695927154 | 8.08483040728462 |
37 | 32 | 33.0704995991774 | -1.07049959917735 |
38 | 25 | 32.9086560864643 | -7.9086560864643 |
39 | 28 | 31.5731607657088 | -3.57316076570877 |
40 | 29 | 30.752452031339 | -1.75245203133898 |
41 | 55 | 30.1412032847875 | 24.8587967152125 |
42 | 55 | 33.9392659773221 | 21.0607340226779 |
43 | 40 | 37.7651914878831 | 2.23480851211688 |
44 | 38 | 39.0011042301777 | -1.00110423017773 |
45 | 44 | 39.7548372023832 | 4.24516279761677 |
46 | 41 | 41.3603342867795 | -0.360334286779548 |
47 | 49 | 42.3079984639585 | 6.69200153604149 |
48 | 59 | 44.4269686814428 | 14.5730313185572 |
49 | 61 | 48.0443448396173 | 12.9556551603827 |
50 | 47 | 51.7800621006782 | -4.78006210067823 |
51 | 43 | 52.8918773901029 | -9.89187739010286 |
52 | 39 | 53.0200561907116 | -14.0200561907116 |
53 | 66 | 52.1927990235582 | 13.8072009764418 |
54 | 68 | 55.6508689582592 | 12.3491310417408 |
55 | 63 | 59.2335045918148 | 3.76649540818522 |
56 | 68 | 61.708744174141 | 6.29125582585905 |
57 | 67 | 64.7073449453273 | 2.29265505467266 |
58 | 59 | 67.2043800157418 | -8.20438001574176 |
59 | 68 | 68.0048895617243 | -0.00488956172426924 |
60 | 78 | 69.9593226539699 | 8.04067734603014 |
61 | 82 | 73.2608726540168 | 8.73912734598322 |
62 | 70 | 76.8941066797954 | -6.89410667979539 |
63 | 62 | 78.1429012883675 | -16.1429012883675 |
64 | 68 | 77.6588575566523 | -9.65885755665228 |
65 | 94 | 77.8294831447197 | 16.1705168552803 |
66 | 102 | 82.0673523039009 | 19.9326476960991 |
67 | 100 | 87.3670335905084 | 12.6329664094916 |
68 | 104 | 91.9766708409851 | 12.0233291590149 |
69 | 103 | 96.8215876198245 | 6.17841238017553 |
70 | 93 | 101.008844687273 | -8.00884468727267 |
71 | 110 | 102.985410147023 | 7.0145898529771 |
72 | 114 | 107.263805057964 | 6.73619494203629 |
73 | 120 | 111.682907446851 | 8.31709255314871 |
74 | 102 | 116.546625282495 | -14.5466252824948 |
75 | 95 | 117.803873154615 | -22.8038731546146 |
76 | 103 | 117.289958066274 | -14.2899580662743 |
77 | 122 | 117.592736720619 | 4.40726327938083 |
78 | 139 | 120.64479058474 | 18.35520941526 |
79 | 135 | 126.150154424871 | 8.84984557512873 |
80 | 135 | 130.554002298267 | 4.44599770173284 |
81 | 137 | 134.456752360196 | 2.54324763980435 |
82 | 130 | 138.159613632851 | -8.15961363285132 |
83 | 148 | 140.138175440166 | 7.86182455983445 |
84 | 148 | 144.581658257528 | 3.41834174247202 |
85 | 145 | 148.49102110945 | -3.4910211094504 |
86 | 128 | 151.334683439234 | -23.3346834392345 |
87 | 131 | 150.762253771466 | -19.7622537714664 |
88 | 133 | 150.164880143698 | -17.1648801436985 |
89 | 146 | 149.474689406669 | -3.47468940666872 |
90 | 163 | 150.618560760485 | 12.3814392395153 |
91 | 151 | 154.324783042553 | -3.32478304255329 |
92 | 157 | 155.731612160445 | 1.26838783955529 |
93 | 152 | 157.818788967385 | -5.81878896738547 |
94 | 149 | 158.753075194776 | -9.75307519477622 |
95 | 172 | 158.873165405502 | 13.126834594498 |
96 | 167 | 162.56408890104 | 4.43591109896033 |
97 | 160 | 165.150251958993 | -5.15025195899298 |
98 | 150 | 166.249652831423 | -16.2496528314229 |
99 | 160 | 165.352897174195 | -5.35289717419528 |
100 | 165 | 165.846878129695 | -0.84687812969463 |
101 | 171 | 166.952452026346 | 4.04754797365388 |
102 | 179 | 168.854992138631 | 10.1450078613689 |
103 | 171 | 171.886655186712 | -0.886655186711636 |
104 | 176 | 173.341965951347 | 2.65803404865272 |
105 | 170 | 175.367164339727 | -5.36716433972686 |
106 | 169 | 176.119509054376 | -7.11950905437629 |
107 | 194 | 176.435089231465 | 17.5649107685355 |
108 | 196 | 180.694001419884 | 15.3059985801156 |
109 | 188 | 185.043726554878 | 2.95627344512232 |
110 | 174 | 187.734211834276 | -13.7342118342757 |
111 | 186 | 187.708787023862 | -1.70878702386216 |
112 | 191 | 189.330272000143 | 1.66972799985655 |
113 | 197 | 191.471863260293 | 5.52813673970749 |
114 | 206 | 194.304143611745 | 11.6958563882553 |
115 | 197 | 198.316851314135 | -1.3168513141346 |
116 | 204 | 200.462892105477 | 3.53710789452265 |
117 | 201 | 203.386572164275 | -2.3865721642749 |
118 | 190 | 205.412778066409 | -15.4127780664086 |
119 | 213 | 205.193984130111 | 7.80601586988908 |
120 | 213 | 208.451627442043 | 4.54837255795661 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
121 | 211.372231787863 | 191.242391792533 | 231.502071783193 |
122 | 213.652666097441 | 193.242554638022 | 234.062777556861 |
123 | 215.93310040702 | 195.152150394145 | 236.714050419895 |
124 | 218.213534716598 | 196.962320144855 | 239.464749288342 |
125 | 220.493969026177 | 198.666249874199 | 242.321688178155 |
126 | 222.774403335755 | 200.259265032177 | 245.289541639334 |
127 | 225.054837645334 | 201.73878157423 | 248.370893716438 |
128 | 227.335271954913 | 203.104127974404 | 251.566415935421 |
129 | 229.615706264491 | 204.356272025168 | 254.875140503814 |
130 | 231.89614057407 | 205.497495329433 | 258.294785818706 |
131 | 234.176574883648 | 206.531057016004 | 261.822092751293 |
132 | 236.457009193227 | 207.460879418262 | 265.453138968192 |