Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.842600131373437 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 157 | 159.110261095247 | -2.11026109524690 |
14 | 147 | 147.376317860187 | -0.376317860186532 |
15 | 137 | 136.942349195449 | 0.0576508045512298 |
16 | 132 | 131.798915314866 | 0.201084685134447 |
17 | 125 | 124.945866367617 | 0.0541336323827721 |
18 | 123 | 123.202432657572 | -0.202432657571890 |
19 | 117 | 119.012778976411 | -2.0127789764107 |
20 | 114 | 112.478180075192 | 1.52181992480821 |
21 | 111 | 108.803961042407 | 2.19603895759332 |
22 | 112 | 111.583452723806 | 0.416547276193768 |
23 | 144 | 147.65632556169 | -3.65632556168995 |
24 | 150 | 152.442613463198 | -2.44261346319828 |
25 | 149 | 150.166197685816 | -1.16619768581583 |
26 | 134 | 139.967343091050 | -5.96734309105042 |
27 | 123 | 125.691651374911 | -2.69165137491068 |
28 | 116 | 118.739134379916 | -2.73913437991634 |
29 | 117 | 110.185659692264 | 6.81434030773566 |
30 | 111 | 114.211978842517 | -3.21197884251697 |
31 | 105 | 107.576244852594 | -2.57624485259416 |
32 | 102 | 101.521243438505 | 0.478756561494507 |
33 | 95 | 97.5583497079523 | -2.55834970795232 |
34 | 93 | 95.9275457434062 | -2.92754574340616 |
35 | 124 | 122.673689144122 | 1.32631085587785 |
36 | 130 | 130.668405813068 | -0.668405813067722 |
37 | 124 | 130.045927592127 | -6.04592759212676 |
38 | 115 | 116.510700197770 | -1.51070019776968 |
39 | 106 | 107.681781828694 | -1.68178182869393 |
40 | 105 | 102.166319011649 | 2.83368098835147 |
41 | 105 | 100.206154876492 | 4.79384512350848 |
42 | 101 | 101.271933222193 | -0.271933222192985 |
43 | 95 | 97.5271174949162 | -2.52711749491621 |
44 | 93 | 92.2832595698534 | 0.716740430146629 |
45 | 84 | 88.4467733713745 | -4.44677337137453 |
46 | 87 | 85.0800535773441 | 1.91994642265587 |
47 | 116 | 114.532654873331 | 1.46734512666924 |
48 | 120 | 121.874612313483 | -1.8746123134828 |
49 | 117 | 119.396960447348 | -2.39696044734755 |
50 | 109 | 110.044188100603 | -1.04418810060261 |
51 | 105 | 101.948436098719 | 3.05156390128073 |
52 | 107 | 101.165435732381 | 5.83456426761897 |
53 | 109 | 101.973937623378 | 7.02606237662158 |
54 | 109 | 104.026281016554 | 4.97371898344583 |
55 | 108 | 104.078101930881 | 3.92189806911853 |
56 | 107 | 104.470038017158 | 2.52996198284212 |
57 | 99 | 100.578272000367 | -1.57827200036694 |
58 | 103 | 100.917215917477 | 2.08278408252264 |
59 | 131 | 135.489710732080 | -4.48971073207952 |
60 | 137 | 138.081153983579 | -1.08115398357867 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 136.088233901037 | 130.030701245877 | 142.145766556197 |
62 | 127.854359537270 | 120.121479949049 | 135.587239125490 |
63 | 120.182004035668 | 111.219118837270 | 129.144889234067 |
64 | 116.835685142666 | 106.693087337638 | 126.978282947694 |
65 | 112.51361905379 | 101.439526704451 | 123.587711403129 |
66 | 108.164723897094 | 96.3033115772464 | 120.026136216942 |
67 | 103.872356722968 | 91.3342502005528 | 116.410463245382 |
68 | 100.843371120951 | 87.5957999063578 | 114.090942335544 |
69 | 94.5407584269163 | 81.0393985627605 | 108.042118291072 |
70 | 96.6688036921573 | 81.9371638851851 | 111.400443499130 |
71 | 126.460310090694 | 106.671627275678 | 146.248992905711 |
72 | 133.119499344974 | 100.078566257659 | 166.160432432288 |