Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999924474600477 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 224 | 225 | -1 |
3 | 223 | 224.000075525400 | -1.00007552539952 |
4 | 221 | 223.000075531104 | -2.00007553110362 |
5 | 219 | 221.000151056504 | -2.00015105650357 |
6 | 218 | 219.000151062208 | -1.00015106220764 |
7 | 219 | 218.000075536809 | 0.999924463191434 |
8 | 221 | 218.999924480305 | 2.00007551969458 |
9 | 222 | 220.999848943497 | 1.00015105650269 |
10 | 222 | 221.999924463192 | 7.55368081399865e-05 |
11 | 223 | 221.999999994295 | 1.00000000570495 |
12 | 225 | 222.9999244746 | 2.00007552539995 |
13 | 226 | 224.999848943497 | 1.00015105650314 |
14 | 229 | 225.999924463192 | 3.00007553680814 |
15 | 235 | 228.999773418096 | 6.00022658190352 |
16 | 229 | 234.99954683049 | -5.99954683049017 |
17 | 231 | 229.000453118171 | 1.99954688182868 |
18 | 229 | 230.999848983423 | -1.99984898342288 |
19 | 226 | 229.000151039393 | -3.00015103939347 |
20 | 232 | 226.000226587606 | 5.99977341239412 |
21 | 234 | 231.999546864716 | 2.00045313528403 |
22 | 230 | 233.999848914978 | -3.99984891497772 |
23 | 232 | 230.000302090187 | 1.99969790981265 |
24 | 231 | 231.999848972016 | -0.999848972016423 |
25 | 237 | 231.000075513993 | 5.99992448600693 |
26 | 241 | 236.999546853306 | 4.00045314669393 |
27 | 256 | 240.999697864178 | 15.0003021358222 |
28 | 255 | 255.998867096188 | -0.998867096188235 |
29 | 264 | 255.000075439837 | 8.9999245601635 |
30 | 259 | 263.999320277102 | -4.9993202771019 |
31 | 253 | 259.000377575661 | -6.00037757566128 |
32 | 258 | 253.000453180914 | 4.99954681908631 |
33 | 265 | 257.999622407229 | 7.00037759277097 |
34 | 258 | 264.999471293685 | -6.99947129368547 |
35 | 257 | 258.000528637866 | -1.00052863786590 |
36 | 255 | 257.000075565325 | -2.00007556532512 |
37 | 255 | 255.000151056506 | -0.000151056506155101 |
38 | 255 | 255.000000011409 | -1.14086162739113e-08 |
39 | 275 | 255.000000000001 | 19.9999999999991 |
40 | 276 | 274.998489492010 | 1.00151050799047 |
41 | 278 | 275.999924360519 | 2.00007563948122 |
42 | 268 | 277.999848943488 | -9.99984894348825 |
43 | 253 | 268.000755242587 | -15.0007552425866 |
44 | 257 | 253.001132938033 | 3.99886706196716 |
45 | 255 | 256.999697983968 | -1.99969798396751 |
46 | 253 | 255.000151027989 | -2.00015102798918 |
47 | 245 | 253.000151062206 | -8.0001510622055 |
48 | 248 | 245.000604214605 | 2.99939578539477 |
49 | 246 | 247.999773469435 | -1.99977346943498 |
50 | 243 | 246.00015103369 | -3.00015103369023 |
51 | 260 | 243.000226587605 | 16.9997734123945 |
52 | 262 | 259.998716085321 | 2.00128391467877 |
53 | 262 | 261.999848852233 | 0.000151147767212478 |
54 | 251 | 261.999999988584 | -10.9999999885845 |
55 | 236 | 251.000830779394 | -15.0008307793939 |
56 | 238 | 236.001132943738 | 1.99886705626221 |
57 | 239 | 237.999849034767 | 1.00015096523302 |
58 | 243 | 238.999924463199 | 4.00007553680123 |
59 | 233 | 242.999697892697 | -9.99969789269696 |
60 | 238 | 233.000755231178 | 4.99924476882154 |
61 | 232 | 237.999622430042 | -5.99962243004151 |
62 | 224 | 232.000453123881 | -8.00045312388102 |
63 | 238 | 224.000604237419 | 13.9993957625815 |
64 | 236 | 237.998942690042 | -1.99894269004196 |
65 | 231 | 236.000150970945 | -5.0001509709453 |
66 | 209 | 231.000377638400 | -22.0003776383998 |
67 | 179 | 209.001661587311 | -30.0016615873108 |
68 | 179 | 179.002265887478 | -0.00226588747773349 |
69 | 165 | 179.000000171132 | -14.0000001711321 |
70 | 174 | 165.001057355606 | 8.99894264439376 |
71 | 163 | 173.999320351262 | -10.9993203512615 |
72 | 166 | 163.000830728064 | 2.99916927193598 |
73 | 164 | 165.999773486542 | -1.99977348654249 |
74 | 152 | 164.000151033692 | -12.0001510336915 |
75 | 163 | 152.000906316201 | 10.9990936837988 |
76 | 167 | 162.999169289055 | 4.00083071094485 |
77 | 157 | 166.999697835662 | -9.99969783566212 |
78 | 138 | 157.000755231174 | -19.0007552311741 |
79 | 111 | 138.00143503963 | -27.0014350396301 |
80 | 110 | 111.002039294169 | -1.00203929416907 |
81 | 91 | 110.000075679418 | -19.0000756794180 |
82 | 100 | 91.0014349883067 | 8.99856501169334 |
83 | 88 | 99.9993203797824 | -11.9993203797824 |
84 | 89 | 88.0009062534657 | 0.999093746534314 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 88.9999245430456 | 71.8050580448059 | 106.194791041285 |
86 | 88.9999245430456 | 64.68362940433 | 113.316219681761 |
87 | 88.9999245430456 | 59.2190416707404 | 118.780807415351 |
88 | 88.9999245430456 | 54.6121395019179 | 123.387709584173 |
89 | 88.9999245430456 | 50.5533572656456 | 127.446491820446 |
90 | 88.9999245430456 | 46.8839262668978 | 131.115922819193 |
91 | 88.9999245430456 | 43.5095290053354 | 134.490320080756 |
92 | 88.9999245430456 | 40.3687117105636 | 137.631137375528 |
93 | 88.9999245430456 | 37.4187880982270 | 140.581060987864 |
94 | 88.9999245430456 | 34.6286783524364 | 143.371170733655 |
95 | 88.9999245430456 | 31.9749196092389 | 146.024929476852 |
96 | 88.9999245430456 | 29.4392834863753 | 148.560565599716 |