Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0618419834147308 |
beta | 0 |
gamma | 0.322340313497252 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 10102 | 10040.4337606838 | 61.5662393162402 |
14 | 8463 | 8403.52843507176 | 59.4715649282425 |
15 | 9114 | 9059.07690397433 | 54.9230960256718 |
16 | 8563 | 8529.76075320513 | 33.2392467948721 |
17 | 8872 | 8874.1452968581 | -2.14529685809612 |
18 | 8301 | 8294.42492348267 | 6.57507651732703 |
19 | 8301 | 8164.41050195957 | 136.589498040431 |
20 | 8278 | 8300.72809680264 | -22.7280968026425 |
21 | 7736 | 7797.19317558775 | -61.1931755877531 |
22 | 7973 | 8408.77949760859 | -435.77949760859 |
23 | 8268 | 8611.7423251823 | -343.742325182295 |
24 | 9476 | 8799.14691404673 | 676.853085953275 |
25 | 11100 | 10093.6184900840 | 1006.38150991604 |
26 | 8962 | 8514.50897235092 | 447.491027649075 |
27 | 9173 | 9192.6778494662 | -19.6778494661939 |
28 | 8738 | 8652.19089891796 | 85.8091010820353 |
29 | 8459 | 8989.12596304143 | -530.125963041428 |
30 | 8078 | 8379.39131259644 | -301.391312596435 |
31 | 8411 | 8269.64879929562 | 141.351200704379 |
32 | 8291 | 8358.08224692338 | -67.082246923379 |
33 | 7810 | 7840.17230073919 | -30.1723007391902 |
34 | 8616 | 8340.39980801158 | 275.600191988422 |
35 | 8312 | 8615.1883734454 | -303.188373445406 |
36 | 9692 | 9113.73522726881 | 578.264772731187 |
37 | 9911 | 10501.7613282095 | -590.761328209517 |
38 | 8915 | 8654.86941101666 | 260.130588983337 |
39 | 9452 | 9180.17680584806 | 271.823194151941 |
40 | 9112 | 8689.61676050825 | 422.383239491748 |
41 | 8472 | 8861.103686033 | -389.103686032995 |
42 | 8230 | 8329.26089772807 | -99.260897728067 |
43 | 8384 | 8365.90658871498 | 18.0934112850191 |
44 | 8625 | 8383.68597391713 | 241.314026082870 |
45 | 8221 | 7896.00965962521 | 324.990340374787 |
46 | 8649 | 8510.66861110863 | 138.331388891374 |
47 | 8625 | 8601.93898023799 | 23.0610197620117 |
48 | 10443 | 9387.21859523958 | 1055.78140476042 |
49 | 10357 | 10451.2545903467 | -94.2545903467144 |
50 | 8586 | 8892.3825826454 | -306.382582645396 |
51 | 8892 | 9386.19159501558 | -494.191595015576 |
52 | 8329 | 8893.78995931962 | -564.789959319616 |
53 | 8101 | 8758.82950000134 | -657.829500001344 |
54 | 7922 | 8298.01841584362 | -376.018415843619 |
55 | 8120 | 8353.0375376632 | -233.037537663193 |
56 | 7838 | 8422.78977342329 | -584.78977342329 |
57 | 7735 | 7909.32979364573 | -174.329793645733 |
58 | 8406 | 8436.66298295507 | -30.6629829550675 |
59 | 8209 | 8482.623936501 | -273.623936501006 |
60 | 9451 | 9561.85696016096 | -110.856960160962 |
61 | 10041 | 10205.9677681594 | -164.967768159438 |
62 | 9411 | 8578.57390800513 | 832.42609199487 |
63 | 10405 | 9086.01450733354 | 1318.98549266646 |
64 | 8467 | 8684.39395953467 | -217.393959534669 |
65 | 8464 | 8542.78142865477 | -78.781428654771 |
66 | 8102 | 8203.00123047686 | -101.001230476862 |
67 | 7627 | 8318.266257289 | -691.266257289006 |
68 | 7513 | 8253.30868108957 | -740.308681089573 |
69 | 7510 | 7854.35672547885 | -344.356725478853 |
70 | 8291 | 8414.62083907508 | -123.620839075076 |
71 | 8064 | 8381.3602080626 | -317.360208062602 |
72 | 9383 | 9507.11022847005 | -124.110228470046 |
73 | 9706 | 10134.0379869939 | -428.037986993937 |
74 | 8579 | 8791.99337919066 | -212.993379190664 |
75 | 9474 | 9381.92171962309 | 92.0782803769125 |
76 | 8318 | 8439.81620253703 | -121.816202537029 |
77 | 8213 | 8346.03167141113 | -133.031671411134 |
78 | 8059 | 7996.17712591597 | 62.8228740840332 |
79 | 9111 | 7943.07358653374 | 1167.92641346626 |
80 | 7708 | 7978.26144211615 | -270.261442116152 |
81 | 7680 | 7728.11644621713 | -48.1164462171328 |
82 | 8014 | 8373.45253564256 | -359.452535642564 |
83 | 8007 | 8267.01962824298 | -260.019628242977 |
84 | 8718 | 9454.75568599356 | -736.755685993556 |
85 | 9486 | 9951.88661121125 | -465.886611211248 |
86 | 9113 | 8672.53218116372 | 440.467818836281 |
87 | 9025 | 9395.12740395928 | -370.127403959275 |
88 | 8476 | 8359.7551637003 | 116.244836299706 |
89 | 7952 | 8277.30117263641 | -325.301172636413 |
90 | 7759 | 7974.78391873713 | -215.783918737132 |
91 | 7835 | 8238.64088847943 | -403.640888479433 |
92 | 7600 | 7741.72305384134 | -141.723053841341 |
93 | 7651 | 7566.70513958672 | 84.294860413278 |
94 | 8319 | 8126.07985893804 | 192.920141061962 |
95 | 8812 | 8083.87589607805 | 728.124103921947 |
96 | 8630 | 9188.55280672682 | -558.552806726819 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
97 | 9778.61662528438 | 8954.4143856884 | 10602.8188648804 |
98 | 8802.16070029986 | 7976.38391244333 | 9627.93748815638 |
99 | 9252.3875396821 | 8425.03920012356 | 10079.7358792406 |
100 | 8386.98666844296 | 7558.06975669734 | 9215.90358018858 |
101 | 8163.81763789416 | 7333.33511659372 | 8994.3001591946 |
102 | 7914.53634473787 | 7082.49115979107 | 8746.58152968467 |
103 | 8134.92871718823 | 7301.32379793644 | 8968.53363644002 |
104 | 7742.17839945442 | 6907.01665882665 | 8577.3401400822 |
105 | 7644.27412703949 | 6807.55846170506 | 8480.98979237392 |
106 | 8231.28483785532 | 7393.01812837458 | 9069.55154733605 |
107 | 8338.99928026366 | 7499.18439123675 | 9178.81416929058 |
108 | 9009.54854237078 | 8168.18832258444 | 9850.90876215713 |