Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999949133676386 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 19.39 | 19.39 | 0 |
3 | 19.39 | 19.39 | 0 |
4 | 19.39 | 19.39 | 0 |
5 | 19.39 | 19.39 | 0 |
6 | 19.39 | 19.39 | 0 |
7 | 19.39 | 19.39 | 0 |
8 | 19.39 | 19.39 | 0 |
9 | 19.39 | 19.39 | 0 |
10 | 19.39 | 19.39 | 0 |
11 | 19.39 | 19.39 | 0 |
12 | 19.39 | 19.39 | 0 |
13 | 19.39 | 19.39 | 0 |
14 | 19.39 | 19.39 | 0 |
15 | 19.39 | 19.39 | 0 |
16 | 19.39 | 19.39 | 0 |
17 | 19.39 | 19.39 | 0 |
18 | 19.39 | 19.39 | 0 |
19 | 19.39 | 19.39 | 0 |
20 | 19.39 | 19.39 | 0 |
21 | 19.39 | 19.39 | 0 |
22 | 19.39 | 19.39 | 0 |
23 | 19.39 | 19.39 | 0 |
24 | 20.1 | 19.39 | 0.710000000000001 |
25 | 21.64 | 20.0999638849102 | 1.54003611508977 |
26 | 20.95 | 21.6399216640246 | -0.689921664024595 |
27 | 19.46 | 20.9500350937786 | -1.49003509377863 |
28 | 19.39 | 19.4600757926073 | -0.0700757926072768 |
29 | 19.39 | 19.3900035644979 | -3.56449794480795e-06 |
30 | 19.39 | 19.3900000001813 | -1.81312742597584e-10 |
31 | 19.39 | 19.39 | -1.06581410364015e-14 |
32 | 19.39 | 19.39 | 0 |
33 | 19.39 | 19.39 | 0 |
34 | 19.39 | 19.39 | 0 |
35 | 19.39 | 19.39 | 0 |
36 | 19.39 | 19.39 | 0 |
37 | 19.39 | 19.39 | 0 |
38 | 19.39 | 19.39 | 0 |
39 | 19.39 | 19.39 | 0 |
40 | 19.39 | 19.39 | 0 |
41 | 19.39 | 19.39 | 0 |
42 | 19.39 | 19.39 | 0 |
43 | 19.39 | 19.39 | 0 |
44 | 19.94 | 19.39 | 0.550000000000001 |
45 | 20.69 | 19.939972023522 | 0.750027976477988 |
46 | 20.69 | 20.6899618488342 | 3.81511657714384e-05 |
47 | 21.64 | 20.6899999980594 | 0.950000001940609 |
48 | 20.86 | 21.6399516769925 | -0.779951676992468 |
49 | 20.67 | 20.8600396732744 | -0.190039673274402 |
50 | 20.67 | 20.6700096666195 | -9.66661951906644e-06 |
51 | 20.67 | 20.6700000004917 | -4.91706231287026e-10 |
52 | 20.67 | 20.67 | -2.48689957516035e-14 |
53 | 20.67 | 20.67 | 0 |
54 | 20.67 | 20.67 | 0 |
55 | 20.67 | 20.67 | 0 |
56 | 20.67 | 20.67 | 0 |
57 | 20.67 | 20.67 | 0 |
58 | 20.67 | 20.67 | 0 |
59 | 20.67 | 20.67 | 0 |
60 | 20.67 | 20.67 | 0 |
61 | 20.67 | 20.67 | 0 |
62 | 20.67 | 20.67 | 0 |
63 | 20.67 | 20.67 | 0 |
64 | 20.67 | 20.67 | 0 |
65 | 20.67 | 20.67 | 0 |
66 | 20.67 | 20.67 | 0 |
67 | 20.7 | 20.67 | 0.0299999999999976 |
68 | 20.67 | 20.6999984740103 | -0.0299984740102879 |
69 | 20.67 | 20.6700015259121 | -1.52591208646413e-06 |
70 | 20.67 | 20.6700000000776 | -7.76161357407545e-11 |
71 | 20.67 | 20.67 | -3.5527136788005e-15 |
72 | 23.42 | 20.67 | 2.75 |
73 | 30.02 | 23.4198601176101 | 6.60013988238994 |
74 | 42.03 | 30.0196642751488 | 12.0103357248512 |
75 | 32.52 | 42.0293890783763 | -9.5093890783763 |
76 | 29.13 | 32.5204837076622 | -3.39048370766224 |
77 | 28.57 | 29.1301724614415 | -0.560172461441482 |
78 | 28.88 | 28.5700284939137 | 0.309971506086296 |
79 | 27.49 | 28.8799842328891 | -1.38998423288906 |
80 | 23.75 | 27.4900707033878 | -3.74007070338781 |
81 | 23.09 | 23.7501902436467 | -0.660190243646738 |
82 | 23.24 | 23.0900335814506 | 0.149966418549418 |
83 | 23.52 | 23.2399923717596 | 0.28000762824038 |
84 | 22.99 | 23.5199857570414 | -0.52998575704137 |
85 | 23.75 | 22.990026958427 | 0.759973041572973 |
86 | 23.05 | 23.7499613429653 | -0.699961342965327 |
87 | 21.66 | 23.0500356044602 | -1.39003560446019 |
88 | 20.84 | 21.6600707060009 | -0.820070706000891 |
89 | 20.67 | 20.8400417139819 | -0.170041713981917 |
90 | 20.67 | 20.6700086493969 | -8.64939685030208e-06 |
91 | 20.67 | 20.67000000044 | -4.39964509268975e-10 |
92 | 20.67 | 20.67 | -2.1316282072803e-14 |
93 | 20.67 | 20.67 | 0 |
94 | 20.67 | 20.67 | 0 |
95 | 20.67 | 20.67 | 0 |
96 | 20.67 | 20.67 | 0 |
97 | 20.67 | 20.67 | 0 |
98 | 20.67 | 20.67 | 0 |
99 | 20.67 | 20.67 | 0 |
100 | 20.67 | 20.67 | 0 |
101 | 20.67 | 20.67 | 0 |
102 | 20.67 | 20.67 | 0 |
103 | 20.67 | 20.67 | 0 |
104 | 20.67 | 20.67 | 0 |
105 | 20.67 | 20.67 | 0 |
106 | 20.67 | 20.67 | 0 |
107 | 20.67 | 20.67 | 0 |
108 | 20.67 | 20.67 | 0 |
109 | 20.67 | 20.67 | 0 |
110 | 20.67 | 20.67 | 0 |
111 | 20.67 | 20.67 | 0 |
112 | 20.67 | 20.67 | 0 |
113 | 20.67 | 20.67 | 0 |
114 | 20.67 | 20.67 | 0 |
115 | 20.67 | 20.67 | 0 |
116 | 20.67 | 20.67 | 0 |
117 | 20.67 | 20.67 | 0 |
118 | 20.67 | 20.67 | 0 |
119 | 20.67 | 20.67 | 0 |
120 | 20.67 | 20.67 | 0 |
121 | 20.67 | 20.67 | 0 |
122 | 20.67 | 20.67 | 0 |
123 | 20.67 | 20.67 | 0 |
124 | 20.67 | 20.67 | 0 |
125 | 20.67 | 20.67 | 0 |
126 | 20.67 | 20.67 | 0 |
127 | 20.67 | 20.67 | 0 |
128 | 20.67 | 20.67 | 0 |
129 | 20.67 | 20.67 | 0 |
130 | 20.67 | 20.67 | 0 |
131 | 20.67 | 20.67 | 0 |
132 | 20.67 | 20.67 | 0 |
133 | 20.67 | 20.67 | 0 |
134 | 20.67 | 20.67 | 0 |
135 | 20.67 | 20.67 | 0 |
136 | 20.67 | 20.67 | 0 |
137 | 20.67 | 20.67 | 0 |
138 | 20.67 | 20.67 | 0 |
139 | 20.67 | 20.67 | 0 |
140 | 20.67 | 20.67 | 0 |
141 | 20.67 | 20.67 | 0 |
142 | 20.67 | 20.67 | 0 |
143 | 24.44 | 20.67 | 3.77 |
144 | 34.94 | 24.43980823396 | 10.50019176604 |
145 | 35 | 34.9394658938476 | 0.0605341061523816 |
146 | 35 | 34.9999969208526 | 3.07914743302717e-06 |
147 | 35 | 34.9999999998434 | 1.56624935243599e-10 |
148 | 35 | 35 | 7.105427357601e-15 |
149 | 35 | 35 | 0 |
150 | 35 | 35 | 0 |
151 | 35 | 35 | 0 |
152 | 35 | 35 | 0 |
153 | 35 | 35 | 0 |
154 | 35 | 35 | 0 |
155 | 35 | 35 | 0 |
156 | 35 | 35 | 0 |
157 | 35 | 35 | 0 |
158 | 35 | 35 | 0 |
159 | 35 | 35 | 0 |
160 | 35 | 35 | 0 |
161 | 35 | 35 | 0 |
162 | 35 | 35 | 0 |
163 | 35 | 35 | 0 |
164 | 35 | 35 | 0 |
165 | 35 | 35 | 0 |
166 | 35 | 35 | 0 |
167 | 35 | 35 | 0 |
168 | 35 | 35 | 0 |
169 | 35 | 35 | 0 |
170 | 35 | 35 | 0 |
171 | 35 | 35 | 0 |
172 | 35 | 35 | 0 |
173 | 35 | 35 | 0 |
174 | 35 | 35 | 0 |
175 | 35 | 35 | 0 |
176 | 35 | 35 | 0 |
177 | 35 | 35 | 0 |
178 | 39.26 | 35 | 4.26 |
179 | 41.51 | 39.2597833094614 | 2.25021669053859 |
180 | 36.41 | 41.5098855397496 | -5.09988553974962 |
181 | 41.25 | 36.4102594124283 | 4.83974058757175 |
182 | 58.6 | 41.2497538201891 | 17.3502461798109 |
183 | 97.81 | 58.599117456763 | 39.210882543237 |
184 | 159.74 | 97.8080054865594 | 61.9319945134406 |
185 | 161.49 | 159.736849747125 | 1.75315025287497 |
186 | 125.32 | 161.489910823692 | -36.1699108236919 |
187 | 148.31 | 125.321839830389 | 22.988160169611 |
188 | 193.55 | 148.308830676806 | 45.2411693231945 |
189 | 307.5 | 193.547698748041 | 113.952301251959 |
190 | 612.56 | 307.494203665368 | 305.065796334632 |
191 | 459.64 | 612.54448242448 | -152.90448242448 |
192 | 375.91 | 459.647777688885 | -83.737777688885 |
193 | 424 | 375.914259432899 | 48.0857405671013 |
194 | 360.66 | 423.997554055159 | -63.337554055159 |
195 | 317.66 | 360.663221748521 | -43.0032217485215 |
196 | 368.24 | 317.662187415794 | 50.5778125842061 |
197 | 447.95 | 368.237427292617 | 79.7125727073825 |
198 | 438.31 | 447.945945314481 | -9.63594531448058 |
199 | 382.58 | 438.310490145113 | -55.7304901451127 |
200 | 384.93 | 382.582834805147 | 2.34716519485312 |
201 | 363.29 | 384.929880608336 | -21.6398806083356 |
202 | 344.97 | 363.29110074117 | -18.32110074117 |
203 | 360.91 | 344.970931927039 | 15.9390680729607 |
204 | 385.42 | 360.909189238205 | 24.5108107617947 |
205 | 385.5 | 385.418753225168 | 0.0812467748322092 |
206 | 389.09 | 385.499995867275 | 3.59000413272474 |
207 | 332.39 | 389.089817389688 | -56.699817389688 |
208 | 295.24 | 332.39288411126 | -37.1528841112602 |
209 | 279.91 | 295.241889830626 | -15.3318898306264 |
210 | 280.1 | 279.91077987687 | 0.189220123130269 |
211 | 272.22 | 280.099990375068 | -7.87999037506796 |
212 | 311.33 | 272.220400826141 | 39.1095991738595 |
213 | 364.8 | 311.328010638472 | 53.471989361528 |
214 | 410.52 | 364.797280076485 | 45.7227199235151 |
215 | 446 | 410.517674253332 | 35.4823257466682 |
216 | 606 | 445.998195144536 | 160.001804855464 |
217 | 699 | 605.991861296415 | 93.0081387035846 |
218 | 768 | 698.995269017918 | 69.004730982082 |
219 | 950 | 767.996489983023 | 182.003510016977 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
220 | 949.99074215056 | 883.560682805727 | 1016.42080149539 |