Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.558351615951655 |
beta | 0.953075715241967 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 117.14 | 115.67 | 1.47000000000001 |
4 | 119.09 | 117.393039383071 | 1.69696061692852 |
5 | 119.55 | 120.14584250325 | -0.59584250325031 |
6 | 119.8 | 121.301376894354 | -1.50137689435388 |
7 | 121.32 | 121.15234493008 | 0.167655069920357 |
8 | 121.48 | 122.024437534562 | -0.544437534562476 |
9 | 119.63 | 122.209208905053 | -2.57920890505324 |
10 | 118.61 | 119.885332851412 | -1.2753328514122 |
11 | 118.82 | 117.610807980683 | 1.20919201931656 |
12 | 119.93 | 117.366994770907 | 2.56300522909318 |
13 | 118.7 | 119.24299208754 | -0.542992087539815 |
14 | 119.99 | 119.095796802325 | 0.894203197675424 |
15 | 116.67 | 120.22691327993 | -3.55691327993013 |
16 | 116.84 | 116.979925419779 | -0.139925419778905 |
17 | 115.17 | 115.566356749795 | -0.396356749794677 |
18 | 114.21 | 113.798687446596 | 0.411312553403874 |
19 | 114.77 | 112.700862141029 | 2.06913785897137 |
20 | 115.59 | 113.629780811325 | 1.96021918867521 |
21 | 116.64 | 115.541017884437 | 1.09898211556326 |
22 | 118.79 | 117.556206679769 | 1.23379332023141 |
23 | 125.63 | 120.303232329465 | 5.32676767053545 |
24 | 127.42 | 128.170223512501 | -0.750223512501307 |
25 | 131.17 | 132.244884381586 | -1.07488438158552 |
26 | 137.68 | 135.566269138118 | 2.11373086188195 |
27 | 144.41 | 141.792847133424 | 2.61715286657591 |
28 | 146.09 | 149.693233090828 | -3.60323309082821 |
29 | 151.26 | 152.202991086746 | -0.94299108674636 |
30 | 156.56 | 155.696285509783 | 0.863714490216893 |
31 | 158.38 | 160.657983756836 | -2.27798375683557 |
32 | 154.21 | 162.653277543504 | -8.44327754350383 |
33 | 158.06 | 156.713067905559 | 1.34693209444072 |
34 | 154.83 | 156.956009393068 | -2.12600939306824 |
35 | 150.89 | 154.128469586846 | -3.23846958684578 |
36 | 149.22 | 148.956429820232 | 0.26357017976818 |
37 | 148.34 | 145.880018847563 | 2.45998115243702 |
38 | 143.88 | 145.339059820716 | -1.45905982071628 |
39 | 134.48 | 141.833457257253 | -7.35345725725327 |
40 | 133.73 | 131.123556037757 | 2.60644396224328 |
41 | 130.08 | 127.36180447309 | 2.71819552690955 |
42 | 123.11 | 125.108941037106 | -1.99894103710584 |
43 | 122.08 | 119.15851757503 | 2.92148242497029 |
44 | 126.83 | 117.510091366573 | 9.31990863342672 |
45 | 123.17 | 124.393838878909 | -1.22383887890932 |
46 | 123.82 | 124.739200398702 | -0.91920039870169 |
47 | 125.6 | 124.765503558651 | 0.834496441349287 |
48 | 126.32 | 126.215064604092 | 0.104935395907958 |
49 | 129.15 | 127.313115575122 | 1.83688442487839 |
50 | 130.09 | 130.355703640609 | -0.265703640609246 |
51 | 133.81 | 132.082913706822 | 1.72708629317833 |
52 | 136.83 | 135.841872582464 | 0.988127417535679 |
53 | 138.34 | 139.714065930527 | -1.37406593052663 |
54 | 138.67 | 141.536113743976 | -2.8661137439758 |
55 | 137.86 | 140.999867906515 | -3.13986790651526 |
56 | 138.56 | 138.639885995365 | -0.0798859953646343 |
57 | 141.65 | 137.945938487552 | 3.70406151244819 |
58 | 142.42 | 141.335885577998 | 1.08411442200159 |
59 | 143.12 | 143.839893947062 | -0.719893947061621 |
60 | 146.17 | 144.953538780959 | 1.21646121904124 |
61 | 147.8 | 147.795692149976 | 0.00430785002436096 |
62 | 151.87 | 149.963330154895 | 1.90666984510543 |
63 | 157.12 | 154.20779201596 | 2.91220798403961 |
64 | 158.97 | 160.563433177797 | -1.59343317779656 |
65 | 161.4 | 163.55539467426 | -2.15539467425984 |
66 | 165.81 | 165.086587841477 | 0.723412158523502 |
67 | 165.1 | 168.610132223934 | -3.51013222393411 |
68 | 164.64 | 167.901948602385 | -3.26194860238533 |
69 | 167.88 | 165.596488303282 | 2.28351169671816 |
70 | 167.14 | 167.602518591447 | -0.462518591446695 |
71 | 169.83 | 167.829168530649 | 2.00083146935123 |
72 | 169.71 | 170.495979155962 | -0.785979155962082 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 171.188509684 | 166.048470403332 | 176.328548964669 |
74 | 172.319892943874 | 164.714724533536 | 179.925061354212 |
75 | 173.451276203748 | 162.163998189163 | 184.738554218333 |
76 | 174.582659463622 | 158.768878111016 | 190.396440816228 |
77 | 175.714042723496 | 154.718300412433 | 196.709785034559 |
78 | 176.84542598337 | 150.113372374892 | 203.577479591847 |
79 | 177.976809243244 | 145.016474490022 | 210.937143996465 |
80 | 179.108192503117 | 139.470740169238 | 218.745644836997 |
81 | 180.239575762991 | 133.508450448812 | 226.970701077171 |
82 | 181.370959022865 | 127.155107969453 | 235.586810076277 |
83 | 182.502342282739 | 120.431637227588 | 244.57304733789 |
84 | 183.633725542613 | 113.355682481515 | 253.911768603711 |