Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.193033671532832 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 7.05 | 7.02 | 0.0299999999999994 |
4 | 7.07 | 7.09579101014598 | -0.0257910101459844 |
5 | 7.08 | 7.11081247676497 | -0.0308124767649653 |
6 | 7.1 | 7.114864631246 | -0.0148646312460041 |
7 | 7.12 | 7.13199525690061 | -0.0119952569006054 |
8 | 7.13 | 7.1496797684201 | -0.0196797684201027 |
9 | 7.18 | 7.15588091046705 | 0.0241190895329453 |
10 | 7.2 | 7.21053670687363 | -0.0105367068736273 |
11 | 7.21 | 7.22850276765995 | -0.0185027676599461 |
12 | 7.22 | 7.23493111048503 | -0.014931110485028 |
13 | 7.26 | 7.24204890340804 | 0.0179510965919594 |
14 | 7.29 | 7.28551406949123 | 0.004485930508773 |
15 | 7.32 | 7.31638000512758 | 0.00361999487242404 |
16 | 7.36 | 7.34707878602873 | 0.0129212139712696 |
17 | 7.41 | 7.38957301540227 | 0.0204269845977336 |
18 | 7.48 | 7.44351611123751 | 0.036483888762489 |
19 | 7.48 | 7.52055873023713 | -0.0405587302371302 |
20 | 7.51 | 7.51272952962675 | -0.00272952962674733 |
21 | 7.51 | 7.54220263850134 | -0.0322026385013379 |
22 | 7.51 | 7.53598644495838 | -0.0259864449583809 |
23 | 7.51 | 7.53097018607798 | -0.0209701860779781 |
24 | 7.54 | 7.52692223406662 | 0.0130777659333807 |
25 | 7.58 | 7.55944668324019 | 0.0205533167598126 |
26 | 7.64 | 7.60341416543651 | 0.0365858345634882 |
27 | 7.63 | 7.67047646340839 | -0.0404764634083934 |
28 | 7.71 | 7.65266314306601 | 0.0573368569339925 |
29 | 7.77 | 7.74373108707413 | 0.0262689129258709 |
30 | 7.85 | 7.80880187178339 | 0.0411981282166138 |
31 | 7.88 | 7.89675449773332 | -0.0167544977333192 |
32 | 7.89 | 7.92352031552117 | -0.0335203155211685 |
33 | 7.94 | 7.92704976594518 | 0.0129502340548227 |
34 | 8.02 | 7.97954959717199 | 0.040450402828009 |
35 | 8.08 | 8.06735788694486 | 0.0126421130551382 |
36 | 8.15 | 8.12979824044383 | 0.020201759556171 |
37 | 8.17 | 8.20369786026238 | -0.0336978602623805 |
38 | 8.17 | 8.21719303857313 | -0.0471930385731323 |
39 | 8.25 | 8.20808319306657 | 0.041916806933429 |
40 | 8.33 | 8.29617454820786 | 0.0338254517921364 |
41 | 8.41 | 8.38270399935856 | 0.027296000641444 |
42 | 8.43 | 8.46797304658054 | -0.0379730465805377 |
43 | 8.48 | 8.48064296997981 | -0.000642969979807617 |
44 | 8.52 | 8.53051885512392 | -0.0105188551239213 |
45 | 8.56 | 8.56848836189903 | -0.00848836189902791 |
46 | 8.63 | 8.60684982223636 | 0.0231501777636414 |
47 | 8.7 | 8.68131858604671 | 0.0186814139532849 |
48 | 8.72 | 8.75492472797154 | -0.0349247279715392 |
49 | 8.73 | 8.76818307950391 | -0.0381830795039093 |
50 | 8.82 | 8.77081245947684 | 0.0491875405231603 |
51 | 8.83 | 8.8703073110177 | -0.0403073110176955 |
52 | 8.81 | 8.87252664278233 | -0.0625266427823323 |
53 | 8.82 | 8.84045689535744 | -0.0204568953574373 |
54 | 8.83 | 8.84650802573843 | -0.0165080257384282 |
55 | 8.84 | 8.85332142092038 | -0.0133214209203807 |
56 | 8.83 | 8.86074993813009 | -0.0307499381300858 |
57 | 8.82 | 8.84481416467343 | -0.0248141646734279 |
58 | 8.87 | 8.8300241953605 | 0.0399758046395036 |
59 | 8.87 | 8.88774087170254 | -0.0177408717025376 |
60 | 8.87 | 8.8843162861016 | -0.0143162861016037 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 8.8815527608327 | 8.82470915571086 | 8.93839636595454 |
62 | 8.89310552166539 | 8.80461681772271 | 8.98159422560808 |
63 | 8.90465828249809 | 8.78617635372773 | 9.02314021126845 |
64 | 8.91621104333079 | 8.76756667848356 | 9.06485540817801 |
65 | 8.92776380416348 | 8.7482015821037 | 9.10732602622327 |
66 | 8.93931656499618 | 8.72784292074163 | 9.15079020925073 |
67 | 8.95086932582888 | 8.70638725967859 | 9.19535139197917 |
68 | 8.96242208666158 | 8.68379235286777 | 9.24105182045539 |
69 | 8.97397484749427 | 8.66004643612074 | 9.2879032588678 |
70 | 8.98552760832697 | 8.63515375227015 | 9.3359014643838 |
71 | 8.99708036915967 | 8.60912714417708 | 9.38503359414226 |
72 | 9.00863312999237 | 8.58198403956228 | 9.43528222042245 |