Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.917775295045143 |
beta | 0.0352630086751072 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 8.47 | 8.39310744294325 | 0.0768925570567536 |
14 | 8.63 | 8.62506603722156 | 0.00493396277843594 |
15 | 8.67 | 8.67841676805531 | -0.00841676805531399 |
16 | 8.73 | 8.74100235368648 | -0.0110023536864752 |
17 | 8.57 | 8.58482178239901 | -0.0148217823990056 |
18 | 8.55 | 8.56589244444184 | -0.0158924444418371 |
19 | 8.63 | 8.63062624644042 | -0.000626246440415201 |
20 | 8.65 | 8.61687763073573 | 0.0331223692642748 |
21 | 8.44 | 8.62750409313047 | -0.187504093130475 |
22 | 8.62 | 8.45796057199383 | 0.162039428006166 |
23 | 8.37 | 8.611064676613 | -0.241064676613 |
24 | 8.59 | 8.37549287520715 | 0.214507124792851 |
25 | 8.84 | 8.51986603527564 | 0.320133964724365 |
26 | 8.72 | 8.98345065410431 | -0.263450654104311 |
27 | 8.8 | 8.78961576081792 | 0.0103842391820805 |
28 | 8.69 | 8.87049064078614 | -0.180490640786143 |
29 | 8.68 | 8.5538709248451 | 0.126129075154898 |
30 | 8.57 | 8.66357108004615 | -0.0935710800461464 |
31 | 8.85 | 8.65549853896949 | 0.194501461030505 |
32 | 8.85 | 8.82643268464632 | 0.0235673153536844 |
33 | 8.85 | 8.81169721745212 | 0.038302782547877 |
34 | 8.93 | 8.88949013216466 | 0.0405098678353379 |
35 | 8.75 | 8.90233919126471 | -0.15233919126471 |
36 | 8.78 | 8.79543823452029 | -0.0154382345202908 |
37 | 8.77 | 8.73713575840853 | 0.0328642415914704 |
38 | 9.03 | 8.8799846255496 | 0.150015374450398 |
39 | 9.01 | 9.09589237670187 | -0.0858923767018727 |
40 | 9.07 | 9.07614143584576 | -0.00614143584576432 |
41 | 8.99 | 8.94698834915181 | 0.0430116508481859 |
42 | 9.02 | 8.96649005769505 | 0.0535099423049523 |
43 | 8.99 | 9.13197184176964 | -0.141971841769635 |
44 | 8.98 | 8.97883901186257 | 0.00116098813742838 |
45 | 8.94 | 8.94269669175771 | -0.00269669175770559 |
46 | 8.94 | 8.98065178220993 | -0.040651782209931 |
47 | 8.75 | 8.89761622527351 | -0.147616225273508 |
48 | 8.86 | 8.80122152520993 | 0.0587784747900706 |
49 | 8.87 | 8.8118493487984 | 0.0581506512015988 |
50 | 8.84 | 8.98663001650521 | -0.14663001650521 |
51 | 8.84 | 8.89842089229508 | -0.058420892295084 |
52 | 9.91 | 8.89874381668809 | 1.01125618331191 |
53 | 10.18 | 9.71809196728936 | 0.461908032710644 |
54 | 10.34 | 10.1537745049472 | 0.186225495052808 |
55 | 10.36 | 10.4767783928352 | -0.11677839283521 |
56 | 10.26 | 10.3955798556225 | -0.135579855622462 |
57 | 10.16 | 10.2624664662807 | -0.102466466280706 |
58 | 10.31 | 10.2420327260751 | 0.0679672739248751 |
59 | 10.46 | 10.2758148328723 | 0.18418516712768 |
60 | 10.54 | 10.5576652514789 | -0.0176652514789311 |
61 | 10.47 | 10.5326888853605 | -0.062688885360453 |
62 | 10.48 | 10.6375356438337 | -0.157535643833654 |
63 | 10.46 | 10.5963448398414 | -0.136344839841373 |
64 | 11.3 | 10.6681636221155 | 0.631836377884516 |
65 | 11.58 | 11.0924567306565 | 0.487543269343453 |
66 | 11.69 | 11.5468768005446 | 0.143123199455353 |
67 | 11.63 | 11.8395234759126 | -0.20952347591259 |
68 | 11.51 | 11.6900268387986 | -0.180026838798623 |
69 | 11.37 | 11.532576148495 | -0.162576148495029 |
70 | 11.42 | 11.4947001396173 | -0.0747001396173133 |
71 | 11.7 | 11.4136017924902 | 0.286398207509823 |
72 | 11.75 | 11.7949559787446 | -0.0449559787445999 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 11.7500491927677 | 11.3255017421463 | 12.1745966433892 |
74 | 11.9356401205184 | 11.3472598147617 | 12.5240204262751 |
75 | 12.0725855749753 | 11.3485365405849 | 12.7966346093656 |
76 | 12.3919057203617 | 11.5361020308612 | 13.2477094098623 |
77 | 12.2086281501158 | 11.2590656740025 | 13.158190626229 |
78 | 12.174057876445 | 11.1271387556053 | 13.2209769972847 |
79 | 12.2957119921073 | 11.1434454569786 | 13.4479785272359 |
80 | 12.3333656919556 | 11.0858608857157 | 13.5808704981956 |
81 | 12.3382999029378 | 11.001065897606 | 13.6755339082695 |
82 | 12.4669363775786 | 11.0289391543809 | 13.9049336007763 |
83 | 12.4873164884821 | 10.961562204677 | 14.0130707722872 |
84 | 12.5785048299585 | 6.27218878037524 | 18.8848208795418 |