Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.344861705580417 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 20.995 | 22.0603571047009 | -1.06535710470085 |
14 | 17.382 | 18.1281804498082 | -0.746180449808215 |
15 | 9.367 | 9.76270060050331 | -0.395700600503309 |
16 | 31.124 | 31.1277128298013 | -0.00371282980125542 |
17 | 26.551 | 26.3281982969368 | 0.222801703063158 |
18 | 30.651 | 30.2815499522148 | 0.36945004778519 |
19 | 25.859 | 26.3828083391075 | -0.523808339107482 |
20 | 25.1 | 25.6940994485057 | -0.594099448505677 |
21 | 25.778 | 22.4710248460297 | 3.30697515397033 |
22 | 20.418 | 18.0932398178933 | 2.32476018210667 |
23 | 18.688 | 18.1493931259801 | 0.538606874019877 |
24 | 20.424 | 19.4215288911453 | 1.00247110885467 |
25 | 24.776 | 21.9999690976386 | 2.77603090236141 |
26 | 19.814 | 19.6016449119625 | 0.212355088037484 |
27 | 12.738 | 11.7963400338006 | 0.941659966199431 |
28 | 31.566 | 33.8793629086387 | -2.31336290863869 |
29 | 30.111 | 28.4317368550145 | 1.67926314498551 |
30 | 30.019 | 32.9834412337066 | -2.96444123370656 |
31 | 31.934 | 27.3497604109795 | 4.58423958902054 |
32 | 25.826 | 28.3765712435344 | -2.55057124353441 |
33 | 26.835 | 27.0345278023745 | -0.19952780237449 |
34 | 20.205 | 20.8039975426702 | -0.598997542670165 |
35 | 17.789 | 18.6816813432546 | -0.892681343254619 |
36 | 20.52 | 19.7641158362853 | 0.755884163714697 |
37 | 22.518 | 23.4194445864729 | -0.901444586472877 |
38 | 15.572 | 18.0733377310463 | -2.50133773104632 |
39 | 11.509 | 9.8099796728647 | 1.6990203271353 |
40 | 25.447 | 30.021696998996 | -4.574696998996 |
41 | 24.09 | 26.4099456371106 | -2.31994563711059 |
42 | 27.786 | 26.5402074877917 | 1.24579251220826 |
43 | 26.195 | 27.3039049348923 | -1.1089049348923 |
44 | 20.516 | 21.6930804369684 | -1.17708043696844 |
45 | 22.759 | 22.3649599681077 | 0.39404003189226 |
46 | 19.028 | 16.0774205997768 | 2.95057940022322 |
47 | 16.971 | 14.9868140547628 | 1.98418594523719 |
48 | 20.036 | 18.1414083021061 | 1.89459169789388 |
49 | 22.485 | 21.1036541439976 | 1.38134585600243 |
50 | 18.73 | 15.4966430280563 | 3.2333569719437 |
51 | 14.538 | 11.9627769803195 | 2.57522301968054 |
52 | 27.561 | 28.3665105927238 | -0.805510592723817 |
53 | 25.985 | 27.5317812451218 | -1.54678124512179 |
54 | 34.67 | 30.2647294962098 | 4.40527050379016 |
55 | 32.066 | 30.5753574428635 | 1.49064255713649 |
56 | 27.186 | 25.8163529446266 | 1.36964705537336 |
57 | 29.586 | 28.3958024467206 | 1.19019755327943 |
58 | 21.359 | 24.0577141605107 | -2.69871416051073 |
59 | 21.553 | 20.3857612429798 | 1.16723875702021 |
60 | 19.573 | 23.1999250672312 | -3.62692506723116 |
61 | 24.256 | 23.921764214636 | 0.334235785363987 |
62 | 22.38 | 19.1669683375478 | 3.21303166245219 |
63 | 16.167 | 15.194924113928 | 0.97207588607203 |
64 | 27.297 | 28.8309456188222 | -1.53394561882219 |
65 | 28.287 | 27.2593721348001 | 1.02762786519993 |
66 | 33.474 | 34.7795525336147 | -1.30555253361471 |
67 | 28.229 | 31.2112519254827 | -2.98225192548266 |
68 | 28.785 | 24.830448620431 | 3.95455137956903 |
69 | 25.597 | 28.1837683957929 | -2.58676839579295 |
70 | 18.13 | 19.995374203146 | -1.86537420314603 |
71 | 20.198 | 19.1435421253378 | 1.05445787466218 |
72 | 22.849 | 18.7779718311542 | 4.07102816884577 |
73 | 23.118 | 24.7496484259217 | -1.63164842592167 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
74 | 21.2029037876536 | 17.0532922147931 | 25.352515360514 |
75 | 14.6546720396292 | 10.2652349723337 | 19.0441091069247 |
76 | 26.3136711420038 | 21.6968497971955 | 30.9304924868122 |
77 | 26.949281643709 | 22.115761095288 | 31.78280219213 |
78 | 32.5865167171762 | 27.5456038579672 | 37.6274295763852 |
79 | 28.3699812026686 | 23.1298777670226 | 33.6100846383146 |
80 | 27.5622078691051 | 22.1302132466483 | 32.9942024915619 |
81 | 25.2662852300197 | 19.6489507072652 | 30.8836197527743 |
82 | 18.4425813592624 | 12.6458297945789 | 24.2393329239458 |
83 | 20.1469392181437 | 14.1761595148896 | 26.1177189213977 |
84 | 21.3939975003696 | 15.2541203169953 | 27.533874683744 |
85 | 22.2256905594406 | 15.9212497920884 | 28.5301313267927 |