Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.239728579543755 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 15.33 | 15.37 | -0.0399999999999991 |
4 | 15.36 | 15.4404108568183 | -0.0804108568182507 |
5 | 15.4 | 15.4511340763333 | -0.0511340763333124 |
6 | 15.4 | 15.4788757768476 | -0.0788757768476476 |
7 | 15.41 | 15.4599669989035 | -0.0499669989035496 |
8 | 15.47 | 15.4579884812323 | 0.0120115187676628 |
9 | 15.54 | 15.5208679855647 | 0.0191320144353266 |
10 | 15.55 | 15.5954544762091 | -0.0454544762090627 |
11 | 15.59 | 15.5945577391936 | -0.00455773919356162 |
12 | 15.65 | 15.6334651188508 | 0.0165348811492443 |
13 | 15.75 | 15.6974290024216 | 0.0525709975784103 |
14 | 15.86 | 15.8100317729963 | 0.04996822700374 |
15 | 15.89 | 15.9320105850782 | -0.0420105850781862 |
16 | 15.94 | 15.9519394471916 | -0.0119394471915921 |
17 | 15.93 | 15.9990772204758 | -0.0690772204758119 |
18 | 15.95 | 15.9725174365323 | -0.0225174365323166 |
19 | 15.99 | 15.9871193634575 | 0.00288063654254422 |
20 | 15.99 | 16.027809934364 | -0.0378099343639828 |
21 | 16.06 | 16.0187458125063 | 0.0412541874937347 |
22 | 16.08 | 16.0986356202744 | -0.0186356202743667 |
23 | 16.07 | 16.1141681294971 | -0.0441681294970735 |
24 | 16.11 | 16.0935797665516 | 0.0164202334483612 |
25 | 16.15 | 16.137516165792 | 0.0124838342080089 |
26 | 16.18 | 16.1805088976339 | -0.000508897633935135 |
27 | 16.3 | 16.210386900327 | 0.0896130996729809 |
28 | 16.42 | 16.3518697214201 | 0.068130278579865 |
29 | 16.49 | 16.488202496328 | 0.0017975036719875 |
30 | 16.5 | 16.55863340933 | -0.0586334093300174 |
31 | 16.58 | 16.5545773053975 | 0.0254226946024723 |
32 | 16.64 | 16.6406718518627 | -0.000671851862747985 |
33 | 16.66 | 16.70051078977 | -0.0405107897700319 |
34 | 16.81 | 16.7107991956823 | 0.0992008043177321 |
35 | 16.91 | 16.884580463591 | 0.0254195364090464 |
36 | 16.92 | 16.990674252947 | -0.0706742529469544 |
37 | 16.95 | 16.9837316146777 | -0.0337316146776701 |
38 | 17.11 | 17.0056451826053 | 0.104354817394729 |
39 | 17.16 | 17.1906620147479 | -0.0306620147478576 |
40 | 17.16 | 17.2333114535064 | -0.0733114535064026 |
41 | 17.27 | 17.215736602893 | 0.0542633971069719 |
42 | 17.34 | 17.3387450900027 | 0.00125490999730005 |
43 | 17.39 | 17.4090459277938 | -0.0190459277938082 |
44 | 17.43 | 17.4544800745777 | -0.0244800745777063 |
45 | 17.45 | 17.4886115010721 | -0.0386115010720687 |
46 | 17.5 | 17.499355220766 | 0.000644779233994086 |
47 | 17.56 | 17.5495097927759 | 0.0104902072241053 |
48 | 17.65 | 17.6120245952528 | 0.0379754047471543 |
49 | 17.62 | 17.7111283850905 | -0.091128385090478 |
50 | 17.7 | 17.6592823067766 | 0.0407176932233746 |
51 | 17.72 | 17.7490435015354 | -0.0290435015353623 |
52 | 17.71 | 17.7620809441673 | -0.0520809441673116 |
53 | 17.74 | 17.7395956534008 | 0.000404346599211181 |
54 | 17.75 | 17.7696925868367 | -0.0196925868366549 |
55 | 17.78 | 17.7749717109668 | 0.0050282890332376 |
56 | 17.8 | 17.8061771355542 | -0.00617713555423904 |
57 | 17.86 | 17.8246962996222 | 0.0353037003778276 |
58 | 17.88 | 17.8931596055664 | -0.0131596055663863 |
59 | 17.89 | 17.9100048720166 | -0.0200048720165995 |
60 | 17.94 | 17.9152091324641 | 0.024790867535895 |
61 | 17.98 | 17.9711522119241 | 0.00884778807585462 |
62 | 18.1 | 18.0132732795917 | 0.0867267204083291 |
63 | 18.14 | 18.1540641530837 | -0.0140641530836518 |
64 | 18.19 | 18.1906925736424 | -0.000692573642417926 |
65 | 18.23 | 18.2405265439469 | -0.0105265439468951 |
66 | 18.24 | 18.278003030519 | -0.0380030305190004 |
67 | 18.27 | 18.2788926179943 | -0.00889261799432006 |
68 | 18.3 | 18.3067608033141 | -0.00676080331411555 |
69 | 18.34 | 18.335140045539 | 0.00485995446095089 |
70 | 18.36 | 18.3763051155186 | -0.0163051155186196 |
71 | 18.36 | 18.392396313336 | -0.0323963133360436 |
72 | 18.4 | 18.3846299911575 | 0.01537000884246 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 18.4283146215449 | 18.3448515853858 | 18.511777657704 |
74 | 18.4566292430898 | 18.3236915432161 | 18.5895669429636 |
75 | 18.4849438646348 | 18.3035058887853 | 18.6663818404842 |
76 | 18.5132584861797 | 18.2819390584295 | 18.7445779139299 |
77 | 18.5415731077246 | 18.2583065796586 | 18.8248396357906 |
78 | 18.5698877292695 | 18.2323760079383 | 18.9073994506007 |
79 | 18.5982023508144 | 18.2040804608532 | 18.9923242407757 |
80 | 18.6265169723593 | 18.173422820547 | 19.0796111241717 |
81 | 18.6548315939043 | 18.1404372131345 | 19.169225974674 |
82 | 18.6831462154492 | 18.1051716935354 | 19.261120737363 |
83 | 18.7114608369941 | 18.0676798994071 | 19.3552417745811 |
84 | 18.739775458539 | 18.0280168618393 | 19.4515340552387 |