Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.45886966836066 |
beta | 0.0711214003438525 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 47 | 23 | 24 |
4 | 35 | 27.7961229219949 | 7.20387707800505 |
5 | 30 | 25.1201162836294 | 4.87988371637056 |
6 | 43 | 21.5369567997083 | 21.4630432002917 |
7 | 82 | 26.263762354498 | 55.736237645502 |
8 | 40 | 48.536474663787 | -8.53647466378699 |
9 | 47 | 41.0377970700749 | 5.96220292992509 |
10 | 19 | 40.3867020512737 | -21.3867020512737 |
11 | 52 | 26.4880593557811 | 25.5119406442189 |
12 | 136 | 34.9423750302949 | 101.057624969705 |
13 | 80 | 81.3603752266386 | -1.36037522663862 |
14 | 42 | 80.7374651764234 | -38.7374651764234 |
15 | 54 | 61.6991275174856 | -7.69912751748564 |
16 | 66 | 56.652077049337 | 9.34792295066301 |
17 | 81 | 59.7324746797767 | 21.2675253202233 |
18 | 63 | 68.9764916278177 | -5.97649162781774 |
19 | 137 | 65.5240100401488 | 71.4759899598512 |
20 | 72 | 99.9447743311003 | -27.9447743311003 |
21 | 107 | 87.8323751035471 | 19.1676248964529 |
22 | 58 | 97.9639710141048 | -39.9639710141048 |
23 | 36 | 79.6576288062729 | -43.6576288062729 |
24 | 52 | 58.2315925623241 | -6.23159256232412 |
25 | 79 | 53.7758583090824 | 25.2241416909176 |
26 | 77 | 64.5774077011014 | 12.4225922988986 |
27 | 54 | 69.910131301045 | -15.910131301045 |
28 | 84 | 61.722593070438 | 22.277406929562 |
29 | 48 | 71.7851911187001 | -23.7851911187001 |
30 | 96 | 59.9348195806198 | 36.0651804193802 |
31 | 83 | 76.724971696028 | 6.27502830397199 |
32 | 66 | 80.0501149835549 | -14.0501149835549 |
33 | 61 | 73.5901346386938 | -12.5901346386938 |
34 | 53 | 67.3892102383282 | -14.3892102383282 |
35 | 30 | 59.8931462141633 | -29.8931462141633 |
36 | 74 | 44.3072198505553 | 29.6927801494447 |
37 | 69 | 57.0325050989396 | 11.9674949010604 |
38 | 59 | 62.014759205828 | -3.01475920582796 |
39 | 42 | 60.0237233058521 | -18.0237233058521 |
40 | 65 | 50.5573166450143 | 14.4426833549857 |
41 | 70 | 56.4601027609432 | 13.5398972390568 |
42 | 100 | 62.3905083964939 | 37.6094916035061 |
43 | 63 | 80.5931236258502 | -17.5931236258502 |
44 | 105 | 72.89077354621 | 32.10922645379 |
45 | 82 | 89.0432235276534 | -7.04322352765342 |
46 | 81 | 86.9999429774586 | -5.9999429774586 |
47 | 75 | 85.2395813679605 | -10.2395813679605 |
48 | 102 | 81.1996049157854 | 20.8003950842146 |
49 | 121 | 92.081762488389 | 28.918237511611 |
50 | 98 | 107.632711515862 | -9.632711515862 |
51 | 76 | 105.179431440423 | -29.1794314404229 |
52 | 77 | 92.8044705009666 | -15.8044705009666 |
53 | 63 | 86.0510873917613 | -23.0510873917613 |
54 | 37 | 75.2201689049976 | -38.2201689049976 |
55 | 35 | 56.1812864740957 | -21.1812864740957 |
56 | 23 | 44.2697694860509 | -21.2697694860509 |
57 | 40 | 31.6235017569951 | 8.37649824300489 |
58 | 29 | 32.8543778868762 | -3.8543778868762 |
59 | 37 | 28.3470865734072 | 8.65291342659279 |
60 | 51 | 29.8614036298536 | 21.1385963701464 |
61 | 20 | 37.7948895544144 | -17.7948895544144 |
62 | 28 | 27.2822354160297 | 0.7177645839703 |
63 | 13 | 25.2879013152257 | -12.2879013152257 |
64 | 22 | 16.9246403858249 | 5.07535961417513 |
65 | 25 | 16.6944899028793 | 8.30551009712073 |
66 | 13 | 18.2176115884455 | -5.21761158844546 |
67 | 16 | 13.3651037911578 | 2.63489620884224 |
68 | 13 | 12.2018646750198 | 0.798135324980176 |
69 | 16 | 10.2218392094429 | 5.77816079055712 |
70 | 17 | 10.715569274838 | 6.28443072516201 |
71 | 9 | 11.6467065032345 | -2.64670650323446 |
72 | 17 | 8.39323928683208 | 8.60676071316792 |
73 | 25 | 10.5845323780138 | 14.4154676219862 |
74 | 14 | 15.9117202037091 | -1.91172020370908 |
75 | 8 | 13.6844669109641 | -5.68446691096415 |
76 | 7 | 9.54049943293749 | -2.54049943293749 |
77 | 10 | 6.75629291806089 | 3.24370708193911 |
78 | 7 | 6.73214317967589 | 0.267856820324106 |
79 | 10 | 5.35120764742729 | 4.64879235257271 |
80 | 3 | 6.13226599610916 | -3.13226599610916 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 3.24060975991806 | -43.5153135754032 | 49.9965330952393 |
82 | 1.78625538257894 | -50.3120403948779 | 53.8845511600358 |
83 | 0.331901005239822 | -57.2424823466457 | 57.9062843571253 |
84 | -1.1224533720993 | -64.308723237319 | 62.0638164931204 |
85 | -2.57680774943841 | -71.511373915806 | 66.3577584169292 |
86 | -4.03116212677753 | -78.8501136282731 | 70.7877893747181 |
87 | -5.48551650411665 | -86.3240266303698 | 75.3529936221365 |
88 | -6.93987088145577 | -93.9318176681055 | 80.052075905194 |
89 | -8.39422525879489 | -101.671953087674 | 84.8835025700845 |
90 | -9.848579636134 | -109.542754868353 | 89.845595596085 |
91 | -11.3029340134731 | -117.542464090142 | 94.9365960631956 |
92 | -12.7572883908122 | -125.669284131717 | 100.154707350092 |