Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.423062231690076 |
beta | 0.0627075516491882 |
gamma | 0.793116115991903 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 114.4 | 112.312151870280 | 2.08784812971953 |
14 | 108.2 | 107.075530203322 | 1.12446979667828 |
15 | 112.6 | 111.855645080082 | 0.744354919917498 |
16 | 109.1 | 108.597124629786 | 0.502875370214298 |
17 | 105 | 104.928573721255 | 0.0714262787447808 |
18 | 105 | 104.989384678198 | 0.0106153218017084 |
19 | 118.5 | 113.034852469389 | 5.46514753061059 |
20 | 103.7 | 110.470497573379 | -6.7704975733786 |
21 | 112.5 | 104.644226571036 | 7.8557734289635 |
22 | 116.6 | 124.80347733297 | -8.20347733297001 |
23 | 96.6 | 95.9903785128477 | 0.609621487152268 |
24 | 101.9 | 101.717364038907 | 0.182635961093084 |
25 | 116.5 | 122.262812408555 | -5.76281240855519 |
26 | 119.3 | 112.835402571953 | 6.464597428047 |
27 | 115.4 | 120.017635099955 | -4.61763509995481 |
28 | 108.5 | 114.099789967481 | -5.59978996748099 |
29 | 111.5 | 107.314158233124 | 4.18584176687578 |
30 | 108.8 | 108.953181500539 | -0.153181500539347 |
31 | 121.8 | 119.612424756468 | 2.18757524353209 |
32 | 109.6 | 109.524948799667 | 0.0750512003328225 |
33 | 112.2 | 113.304692214562 | -1.10469221456205 |
34 | 119.6 | 122.026610241289 | -2.42661024128901 |
35 | 104.1 | 98.9402697768877 | 5.15973022311232 |
36 | 105.3 | 106.629716297735 | -1.32971629773465 |
37 | 115 | 124.423976850032 | -9.42397685003152 |
38 | 124.1 | 118.780911391592 | 5.31908860840765 |
39 | 116.8 | 120.173618557105 | -3.37361855710506 |
40 | 107.5 | 114.024042094822 | -6.52404209482158 |
41 | 115.6 | 111.125385880967 | 4.47461411903342 |
42 | 116.2 | 110.701093256337 | 5.4989067436626 |
43 | 116.3 | 125.249410251738 | -8.94941025173807 |
44 | 119 | 109.221253657181 | 9.77874634281864 |
45 | 111.9 | 116.646098025167 | -4.74609802516717 |
46 | 118.6 | 123.262300467499 | -4.66230046749936 |
47 | 106.9 | 102.279522408772 | 4.62047759122774 |
48 | 103.2 | 106.612786519305 | -3.41278651930544 |
49 | 118.6 | 119.384998676967 | -0.784998676966808 |
50 | 118.7 | 124.18106008288 | -5.48106008288003 |
51 | 102.8 | 116.764132903014 | -13.9641329030137 |
52 | 100.6 | 104.410422742939 | -3.8104227429386 |
53 | 94.9 | 106.902904704344 | -12.0029047043441 |
54 | 94.5 | 99.2338124631182 | -4.73381246311823 |
55 | 102.9 | 100.644711995115 | 2.25528800488519 |
56 | 95.3 | 97.3591355572064 | -2.05913555720637 |
57 | 92.5 | 92.5585831879984 | -0.0585831879983942 |
58 | 102.7 | 98.5051616702873 | 4.19483832971267 |
59 | 91.5 | 87.0182174856662 | 4.48178251433382 |
60 | 89.5 | 87.0348307674256 | 2.46516923257437 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 100.450701260597 | 91.381738448949 | 109.519664072244 |
62 | 102.200339958542 | 91.969461001589 | 112.431218915495 |
63 | 93.656041110927 | 82.6204320178374 | 104.691650204017 |
64 | 91.7680053186789 | 79.6877857685657 | 103.848224868792 |
65 | 91.685153961468 | 78.4378660378198 | 104.932441885116 |
66 | 92.4899315124668 | 77.9675705981073 | 107.012292426826 |
67 | 99.21665368486 | 82.692510518684 | 115.740796851036 |
68 | 93.4283040761943 | 76.3843664806571 | 110.472241671731 |
69 | 90.7628113501245 | 72.827931791258 | 108.697690908991 |
70 | 98.8107814158626 | 78.237166208064 | 119.384396623661 |
71 | 86.2409645082443 | 66.5739757272896 | 105.907953289199 |
72 | 83.6101909243918 | 59.2624755728838 | 107.957906275900 |