Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.854791909129612 |
beta | 0.144241866423662 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 128.47 | 128.49 | -0.0199999999999818 |
4 | 128.52 | 128.58043822621 | -0.0604382262098682 |
5 | 128.71 | 128.628858345133 | 0.0811416548673662 |
6 | 128.92 | 128.808304305695 | 0.111695694304643 |
7 | 128.92 | 129.02763933145 | -0.107639331449974 |
8 | 128.82 | 129.046216968791 | -0.226216968791107 |
9 | 128.97 | 128.935543577211 | 0.0344564227891624 |
10 | 129.04 | 129.051940057672 | -0.0119400576719499 |
11 | 128.95 | 129.127205031354 | -0.177205031354362 |
12 | 129.39 | 129.039354032838 | 0.350645967162023 |
13 | 129.39 | 129.445939315883 | -0.0559393158825401 |
14 | 129.48 | 129.498081651065 | -0.018081651064648 |
15 | 130.16 | 129.580355002471 | 0.579644997528533 |
16 | 129.89 | 130.245028618924 | -0.355028618923626 |
17 | 129.85 | 130.066976904701 | -0.216976904700687 |
18 | 129.9 | 129.980178125071 | -0.080178125071285 |
19 | 129.9 | 130.00042813077 | -0.100428130769956 |
20 | 129.57 | 129.990986130254 | -0.42098613025442 |
21 | 129.54 | 129.655627510929 | -0.115627510929158 |
22 | 129.57 | 129.567030468966 | 0.00296953103440956 |
23 | 128.97 | 129.580175352535 | -0.610175352534952 |
24 | 129.01 | 128.993976294072 | 0.0160237059277506 |
25 | 129.01 | 128.945022795639 | 0.0649772043613552 |
26 | 128.72 | 128.945925831685 | -0.225925831685288 |
27 | 128.32 | 128.670311378527 | -0.350311378527294 |
28 | 128.39 | 128.245180901214 | 0.144819098785632 |
29 | 128.33 | 128.261139678489 | 0.068860321510698 |
30 | 128.44 | 128.22065976346 | 0.21934023653975 |
31 | 128.44 | 128.335852807257 | 0.104147192743028 |
32 | 128.6 | 128.365420782779 | 0.234579217221295 |
33 | 128.3 | 128.535403859743 | -0.235403859742519 |
34 | 128.56 | 128.274624667095 | 0.285375332904664 |
35 | 128.01 | 128.494189174512 | -0.484189174512096 |
36 | 128.01 | 127.996237201125 | 0.0137627988749074 |
37 | 128.01 | 127.925627454515 | 0.0843725454853228 |
38 | 128.26 | 127.925777211223 | 0.334222788776941 |
39 | 128.38 | 128.180705528176 | 0.199294471824118 |
40 | 128.36 | 128.344870578208 | 0.0151294217922384 |
41 | 128.48 | 128.353478242524 | 0.126521757476098 |
42 | 128.46 | 128.472902899466 | -0.0129028994660132 |
43 | 128.46 | 128.471557601759 | -0.011557601759165 |
44 | 129.56 | 128.469937238562 | 1.09006276143825 |
45 | 129.66 | 129.544374277652 | 0.115625722348227 |
46 | 129.47 | 129.800126699066 | -0.330126699065687 |
47 | 129.41 | 129.634149998069 | -0.224149998068867 |
48 | 129.48 | 129.531124350557 | -0.0511243505570462 |
49 | 129.48 | 129.569696158788 | -0.0896961587876888 |
50 | 130.17 | 129.564237849832 | 0.605762150168374 |
51 | 129.77 | 130.227940199298 | -0.45794019929798 |
52 | 129.87 | 129.92593583454 | -0.055935834539838 |
53 | 129.97 | 129.960664839905 | 0.00933516009470736 |
54 | 130.05 | 130.052337958569 | -0.00233795856914298 |
55 | 130.05 | 130.133744727081 | -0.0837447270806138 |
56 | 129.89 | 130.135240193298 | -0.245240193297576 |
57 | 130.33 | 129.968453315379 | 0.36154668462143 |
58 | 130.6 | 130.36492049344 | 0.235079506559515 |
59 | 131.46 | 130.682269097216 | 0.7777309027841 |
60 | 131.73 | 131.559363440275 | 0.170636559725239 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 131.938557389237 | 131.356947120778 | 132.520167657696 |
62 | 132.171892587545 | 131.358332808433 | 132.985452366657 |
63 | 132.405227785852 | 131.369747929112 | 133.440707642593 |
64 | 132.63856298416 | 131.381752575086 | 133.895373393234 |
65 | 132.871898182468 | 131.390606189812 | 134.353190175124 |
66 | 133.105233380775 | 131.394542273484 | 134.815924488067 |
67 | 133.338568579083 | 131.392657086509 | 135.284480071657 |
68 | 133.57190377739 | 131.384477612693 | 135.759329942088 |
69 | 133.805238975698 | 131.369764900046 | 136.24071305135 |
70 | 134.038574174006 | 131.348414583973 | 136.728733764038 |
71 | 134.271909372313 | 131.320402637201 | 137.223416107426 |
72 | 134.505244570621 | 131.285754086511 | 137.724735054731 |