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of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 13 Dec 2014 13:33:24 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/13/t141847761575f4jjm5bftmiiv.htm/, Retrieved Sun, 12 May 2024 05:59:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267088, Retrieved Sun, 12 May 2024 05:59:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [] [2013-11-04 07:28:31] [0307e7a6407eb638caabc417e3a6b260]
- RM    [Multiple Regression] [] [2014-11-13 17:16:10] [d69b52d23ca73e15a0c741afa583703c]
-  MPD    [Multiple Regression] [huwelijken vs con...] [2014-12-13 10:56:41] [189b7d469e4e3b4e868a6af83e3b3816]
- RMPD        [Exponential Smoothing] [] [2014-12-13 13:33:24] [0ce3062f3159e08d115eba7e96d082ef] [Current]
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Dataseries X:
2132.00
1964.00
2209.00
1965.00
2631.00
2583.00
2714.00
2248.00
2364.00
3042.00
2316.00
2735.00
2493.00
2136.00
2467.00
2414.00
2556.00
2768.00
2998.00
2573.00
3005.00
3469.00
2540.00
3187.00
2689.00
2154.00
3065.00
2397.00
2787.00
3579.00
2915.00
3025.00
3245.00
3328.00
2840.00
3342.00
2261.00
2590.00
2624.00
1860.00
2577.00
2646.00
2639.00
2807.00
2350.00
3053.00
2203.00
2471.00
1967.00
2473.00
2397.00
1904.00
2732.00
2297.00
2734.00
2719.00
2296.00
3243.00
2166.00
2261.00
2408.00
2536.00
2324.00
2178.00
2803.00
2604.00
2782.00
2656.00
2801.00
3122.00
2393.00
2233.00
2451.00
2596.00
2467.00
2210.00
2948.00
2507.00
3019.00
2401.00
2818.00
3305.00
2101.00
2582.00
2407.00
2416.00
2463.00
2228.00
2616.00
2934.00
2668.00
2808.00
2664.00
3112.00
2321.00
2718.00
2297.00
2534.00
2647.00
2064.00
2642.00
2702.00
2348.00
2734.00
2709.00
3206.00
2214.00
2531.00
2119.00
2369.00
2682.00
1840.00
2622.00
2570.00
2447.00
2871.00
2485.00
2957.00
2102.00
2250.00
2051.00
2260.00
2327.00
1781.00
2631.00
2180.00
2150.00
2837.00
1976.00
2836.00
2203.00
1770.00




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267088&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267088&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267088&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.170640052435241
beta0.199919736110917
gamma0.540693103946809

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.170640052435241 \tabularnewline
beta & 0.199919736110917 \tabularnewline
gamma & 0.540693103946809 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267088&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]0.170640052435241[/C][/ROW]
[ROW][C]beta[/C][C]0.199919736110917[/C][/ROW]
[ROW][C]gamma[/C][C]0.540693103946809[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267088&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267088&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.170640052435241
beta0.199919736110917
gamma0.540693103946809







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1324932394.3707820701598.629217929848
1421362068.8658083836267.1341916163806
1524672394.7370577812372.2629422187661
1624142346.2201521728467.7798478271634
1725562505.5302026168950.4697973831089
1827682732.9715222396335.028477760372
1929983033.48212563897-35.4821256389655
2025732519.6129791628553.3870208371509
2130052678.0712396617326.928760338298
2234693539.12654308962-70.1265430896206
2325402714.36562196796-174.36562196796
2431873211.34444785063-24.3444478506308
2526892996.4308173211-307.4308173211
2621542514.81712855113-360.817128551133
2730652803.36549146517261.634508534833
2823972762.92111918242-365.921119182424
2927872832.02789091576-45.0278909157582
3035793028.70282103169550.297178968308
3129153404.5079157739-489.507915773901
3230252779.73646370714245.263536292865
3332453098.40881027474146.591189725258
3433283770.60990615604-442.60990615604
3528402753.2075056092586.7924943907451
3633423370.37156513183-28.3715651318334
3722612982.56727204161-721.567272041609
3825902362.25397193579227.746028064212
3926243043.03531019471-419.035310194713
4018602567.21444897813-707.214448978127
4125772662.28931807094-85.2893180709425
4226463026.44243733952-380.442437339522
4326392711.19539137408-72.1953913740849
4428072446.44018641471360.559813585287
4523502640.43162941946-290.431629419461
4630532811.06943297045241.930567029547
4722032223.62822029048-20.6282202904804
4824712588.39862388773-117.398623887731
4919671971.3012548089-4.3012548088991
5024731876.48323524432596.516764755676
5123972226.3642738869170.635726113096
5219041802.59447896646101.40552103354
5327322259.83742479131472.162575208691
5422972599.76494674393-302.764946743925
5527342488.05808896633245.941911033672
5627192525.9149324209193.085067579095
5722962451.05918278174-155.059182781738
5832432938.93567391261304.064326087389
5921662287.81263643043-121.812636430429
6022612656.14468221473-395.144682214733
6124082064.20801841974343.791981580256
6225362354.29016144945181.709838550554
6323242484.36450117872-160.364501178722
6421781968.58374853964209.416251460361
6528032681.83057929198121.169420708018
6626042624.83730681043-20.8373068104347
6727822852.14128842523-70.1412884252336
6826562827.66395408556-171.663954085555
6928012523.37274106676277.627258933244
7031223380.23848973968-258.238489739682
7123932385.851023438027.14897656197627
7222332679.12480427397-446.124804273972
7324512397.0751433066953.9248566933079
7425962568.156885599327.8431144007018
7524672505.29284081548-38.2928408154789
7622102153.9399600018456.0600399981581
7729482806.87856845236141.121431547644
7825072673.15627740145-166.156277401452
7930192837.50271843432181.497281565678
8024012798.54113868198-397.541138681981
8128182637.82473927153180.175260728475
8233053206.2062922310198.7937077689894
8321012381.6013733095-280.601373309505
8425822395.21178956928186.788210430715
8524072446.10399321619-39.1039932161939
8624162587.40259608043-171.402596080429
8724632452.7188127605210.2811872394846
8822282148.5708962750679.4291037249436
8926162827.2707847227-211.270784722695
9029342487.97999377284446.020006227157
9126682914.42713391071-246.427133910707
9228082537.33694575548270.663054244516
9326642763.5433325102-99.5433325101963
9431123250.46276920644-138.462769206437
9523212222.0919346550398.9080653449741
9627182523.23509695113194.76490304887
9722972482.74335362914-185.74335362914
9825342545.1591026721-11.1591026720994
9926472529.34829227457117.651707725426
10020642277.00803426151-213.008034261514
10126422787.92661302048-145.926613020483
10227022753.69071525697-51.6907152569715
10323482769.72802006993-421.728020069935
10427342576.13025220513157.869747794874
10527092593.54088779387115.459112206134
10632063064.90075409667141.099245903335
10722142205.342826148538.65717385147036
10825312511.121832103219.8781678968035
10921192266.01738247318-147.017382473177
11023692388.84158716465-19.8415871646548
11126822410.49783892123271.502161078775
11218402049.47897089925-209.478970899248
11326222543.3965334707978.6034665292073
11425702583.40779543501-13.4077954350132
11524472439.382835477987.6171645220229
11628712585.42450967471285.575490325286
11724852621.0496410167-136.049641016702
11829573056.71053321135-99.7105332113506
11921022130.0550864386-28.0550864386032
12022502420.87076170534-170.870761705344
12120512077.27646553087-26.2764655308729
12222602264.23483669759-4.23483669759298
12323272406.00980691255-79.0098069125511
12417811801.04655325496-20.0465532549588
12526312406.08920853327224.910791466734
12621802427.54880309436-247.548803094357
12721502252.01875308763-102.018753087626
12828372462.52850658601374.471493413993
12919762329.17290150422-353.172901504215
13028362670.08193601749165.918063982509
13122031897.21139710037305.788602899634
13217702163.18986505977-393.189865059775

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 2493 & 2394.37078207015 & 98.629217929848 \tabularnewline
14 & 2136 & 2068.86580838362 & 67.1341916163806 \tabularnewline
15 & 2467 & 2394.73705778123 & 72.2629422187661 \tabularnewline
16 & 2414 & 2346.22015217284 & 67.7798478271634 \tabularnewline
17 & 2556 & 2505.53020261689 & 50.4697973831089 \tabularnewline
18 & 2768 & 2732.97152223963 & 35.028477760372 \tabularnewline
19 & 2998 & 3033.48212563897 & -35.4821256389655 \tabularnewline
20 & 2573 & 2519.61297916285 & 53.3870208371509 \tabularnewline
21 & 3005 & 2678.0712396617 & 326.928760338298 \tabularnewline
22 & 3469 & 3539.12654308962 & -70.1265430896206 \tabularnewline
23 & 2540 & 2714.36562196796 & -174.36562196796 \tabularnewline
24 & 3187 & 3211.34444785063 & -24.3444478506308 \tabularnewline
25 & 2689 & 2996.4308173211 & -307.4308173211 \tabularnewline
26 & 2154 & 2514.81712855113 & -360.817128551133 \tabularnewline
27 & 3065 & 2803.36549146517 & 261.634508534833 \tabularnewline
28 & 2397 & 2762.92111918242 & -365.921119182424 \tabularnewline
29 & 2787 & 2832.02789091576 & -45.0278909157582 \tabularnewline
30 & 3579 & 3028.70282103169 & 550.297178968308 \tabularnewline
31 & 2915 & 3404.5079157739 & -489.507915773901 \tabularnewline
32 & 3025 & 2779.73646370714 & 245.263536292865 \tabularnewline
33 & 3245 & 3098.40881027474 & 146.591189725258 \tabularnewline
34 & 3328 & 3770.60990615604 & -442.60990615604 \tabularnewline
35 & 2840 & 2753.20750560925 & 86.7924943907451 \tabularnewline
36 & 3342 & 3370.37156513183 & -28.3715651318334 \tabularnewline
37 & 2261 & 2982.56727204161 & -721.567272041609 \tabularnewline
38 & 2590 & 2362.25397193579 & 227.746028064212 \tabularnewline
39 & 2624 & 3043.03531019471 & -419.035310194713 \tabularnewline
40 & 1860 & 2567.21444897813 & -707.214448978127 \tabularnewline
41 & 2577 & 2662.28931807094 & -85.2893180709425 \tabularnewline
42 & 2646 & 3026.44243733952 & -380.442437339522 \tabularnewline
43 & 2639 & 2711.19539137408 & -72.1953913740849 \tabularnewline
44 & 2807 & 2446.44018641471 & 360.559813585287 \tabularnewline
45 & 2350 & 2640.43162941946 & -290.431629419461 \tabularnewline
46 & 3053 & 2811.06943297045 & 241.930567029547 \tabularnewline
47 & 2203 & 2223.62822029048 & -20.6282202904804 \tabularnewline
48 & 2471 & 2588.39862388773 & -117.398623887731 \tabularnewline
49 & 1967 & 1971.3012548089 & -4.3012548088991 \tabularnewline
50 & 2473 & 1876.48323524432 & 596.516764755676 \tabularnewline
51 & 2397 & 2226.3642738869 & 170.635726113096 \tabularnewline
52 & 1904 & 1802.59447896646 & 101.40552103354 \tabularnewline
53 & 2732 & 2259.83742479131 & 472.162575208691 \tabularnewline
54 & 2297 & 2599.76494674393 & -302.764946743925 \tabularnewline
55 & 2734 & 2488.05808896633 & 245.941911033672 \tabularnewline
56 & 2719 & 2525.9149324209 & 193.085067579095 \tabularnewline
57 & 2296 & 2451.05918278174 & -155.059182781738 \tabularnewline
58 & 3243 & 2938.93567391261 & 304.064326087389 \tabularnewline
59 & 2166 & 2287.81263643043 & -121.812636430429 \tabularnewline
60 & 2261 & 2656.14468221473 & -395.144682214733 \tabularnewline
61 & 2408 & 2064.20801841974 & 343.791981580256 \tabularnewline
62 & 2536 & 2354.29016144945 & 181.709838550554 \tabularnewline
63 & 2324 & 2484.36450117872 & -160.364501178722 \tabularnewline
64 & 2178 & 1968.58374853964 & 209.416251460361 \tabularnewline
65 & 2803 & 2681.83057929198 & 121.169420708018 \tabularnewline
66 & 2604 & 2624.83730681043 & -20.8373068104347 \tabularnewline
67 & 2782 & 2852.14128842523 & -70.1412884252336 \tabularnewline
68 & 2656 & 2827.66395408556 & -171.663954085555 \tabularnewline
69 & 2801 & 2523.37274106676 & 277.627258933244 \tabularnewline
70 & 3122 & 3380.23848973968 & -258.238489739682 \tabularnewline
71 & 2393 & 2385.85102343802 & 7.14897656197627 \tabularnewline
72 & 2233 & 2679.12480427397 & -446.124804273972 \tabularnewline
73 & 2451 & 2397.07514330669 & 53.9248566933079 \tabularnewline
74 & 2596 & 2568.1568855993 & 27.8431144007018 \tabularnewline
75 & 2467 & 2505.29284081548 & -38.2928408154789 \tabularnewline
76 & 2210 & 2153.93996000184 & 56.0600399981581 \tabularnewline
77 & 2948 & 2806.87856845236 & 141.121431547644 \tabularnewline
78 & 2507 & 2673.15627740145 & -166.156277401452 \tabularnewline
79 & 3019 & 2837.50271843432 & 181.497281565678 \tabularnewline
80 & 2401 & 2798.54113868198 & -397.541138681981 \tabularnewline
81 & 2818 & 2637.82473927153 & 180.175260728475 \tabularnewline
82 & 3305 & 3206.20629223101 & 98.7937077689894 \tabularnewline
83 & 2101 & 2381.6013733095 & -280.601373309505 \tabularnewline
84 & 2582 & 2395.21178956928 & 186.788210430715 \tabularnewline
85 & 2407 & 2446.10399321619 & -39.1039932161939 \tabularnewline
86 & 2416 & 2587.40259608043 & -171.402596080429 \tabularnewline
87 & 2463 & 2452.71881276052 & 10.2811872394846 \tabularnewline
88 & 2228 & 2148.57089627506 & 79.4291037249436 \tabularnewline
89 & 2616 & 2827.2707847227 & -211.270784722695 \tabularnewline
90 & 2934 & 2487.97999377284 & 446.020006227157 \tabularnewline
91 & 2668 & 2914.42713391071 & -246.427133910707 \tabularnewline
92 & 2808 & 2537.33694575548 & 270.663054244516 \tabularnewline
93 & 2664 & 2763.5433325102 & -99.5433325101963 \tabularnewline
94 & 3112 & 3250.46276920644 & -138.462769206437 \tabularnewline
95 & 2321 & 2222.09193465503 & 98.9080653449741 \tabularnewline
96 & 2718 & 2523.23509695113 & 194.76490304887 \tabularnewline
97 & 2297 & 2482.74335362914 & -185.74335362914 \tabularnewline
98 & 2534 & 2545.1591026721 & -11.1591026720994 \tabularnewline
99 & 2647 & 2529.34829227457 & 117.651707725426 \tabularnewline
100 & 2064 & 2277.00803426151 & -213.008034261514 \tabularnewline
101 & 2642 & 2787.92661302048 & -145.926613020483 \tabularnewline
102 & 2702 & 2753.69071525697 & -51.6907152569715 \tabularnewline
103 & 2348 & 2769.72802006993 & -421.728020069935 \tabularnewline
104 & 2734 & 2576.13025220513 & 157.869747794874 \tabularnewline
105 & 2709 & 2593.54088779387 & 115.459112206134 \tabularnewline
106 & 3206 & 3064.90075409667 & 141.099245903335 \tabularnewline
107 & 2214 & 2205.34282614853 & 8.65717385147036 \tabularnewline
108 & 2531 & 2511.1218321032 & 19.8781678968035 \tabularnewline
109 & 2119 & 2266.01738247318 & -147.017382473177 \tabularnewline
110 & 2369 & 2388.84158716465 & -19.8415871646548 \tabularnewline
111 & 2682 & 2410.49783892123 & 271.502161078775 \tabularnewline
112 & 1840 & 2049.47897089925 & -209.478970899248 \tabularnewline
113 & 2622 & 2543.39653347079 & 78.6034665292073 \tabularnewline
114 & 2570 & 2583.40779543501 & -13.4077954350132 \tabularnewline
115 & 2447 & 2439.38283547798 & 7.6171645220229 \tabularnewline
116 & 2871 & 2585.42450967471 & 285.575490325286 \tabularnewline
117 & 2485 & 2621.0496410167 & -136.049641016702 \tabularnewline
118 & 2957 & 3056.71053321135 & -99.7105332113506 \tabularnewline
119 & 2102 & 2130.0550864386 & -28.0550864386032 \tabularnewline
120 & 2250 & 2420.87076170534 & -170.870761705344 \tabularnewline
121 & 2051 & 2077.27646553087 & -26.2764655308729 \tabularnewline
122 & 2260 & 2264.23483669759 & -4.23483669759298 \tabularnewline
123 & 2327 & 2406.00980691255 & -79.0098069125511 \tabularnewline
124 & 1781 & 1801.04655325496 & -20.0465532549588 \tabularnewline
125 & 2631 & 2406.08920853327 & 224.910791466734 \tabularnewline
126 & 2180 & 2427.54880309436 & -247.548803094357 \tabularnewline
127 & 2150 & 2252.01875308763 & -102.018753087626 \tabularnewline
128 & 2837 & 2462.52850658601 & 374.471493413993 \tabularnewline
129 & 1976 & 2329.17290150422 & -353.172901504215 \tabularnewline
130 & 2836 & 2670.08193601749 & 165.918063982509 \tabularnewline
131 & 2203 & 1897.21139710037 & 305.788602899634 \tabularnewline
132 & 1770 & 2163.18986505977 & -393.189865059775 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267088&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]2493[/C][C]2394.37078207015[/C][C]98.629217929848[/C][/ROW]
[ROW][C]14[/C][C]2136[/C][C]2068.86580838362[/C][C]67.1341916163806[/C][/ROW]
[ROW][C]15[/C][C]2467[/C][C]2394.73705778123[/C][C]72.2629422187661[/C][/ROW]
[ROW][C]16[/C][C]2414[/C][C]2346.22015217284[/C][C]67.7798478271634[/C][/ROW]
[ROW][C]17[/C][C]2556[/C][C]2505.53020261689[/C][C]50.4697973831089[/C][/ROW]
[ROW][C]18[/C][C]2768[/C][C]2732.97152223963[/C][C]35.028477760372[/C][/ROW]
[ROW][C]19[/C][C]2998[/C][C]3033.48212563897[/C][C]-35.4821256389655[/C][/ROW]
[ROW][C]20[/C][C]2573[/C][C]2519.61297916285[/C][C]53.3870208371509[/C][/ROW]
[ROW][C]21[/C][C]3005[/C][C]2678.0712396617[/C][C]326.928760338298[/C][/ROW]
[ROW][C]22[/C][C]3469[/C][C]3539.12654308962[/C][C]-70.1265430896206[/C][/ROW]
[ROW][C]23[/C][C]2540[/C][C]2714.36562196796[/C][C]-174.36562196796[/C][/ROW]
[ROW][C]24[/C][C]3187[/C][C]3211.34444785063[/C][C]-24.3444478506308[/C][/ROW]
[ROW][C]25[/C][C]2689[/C][C]2996.4308173211[/C][C]-307.4308173211[/C][/ROW]
[ROW][C]26[/C][C]2154[/C][C]2514.81712855113[/C][C]-360.817128551133[/C][/ROW]
[ROW][C]27[/C][C]3065[/C][C]2803.36549146517[/C][C]261.634508534833[/C][/ROW]
[ROW][C]28[/C][C]2397[/C][C]2762.92111918242[/C][C]-365.921119182424[/C][/ROW]
[ROW][C]29[/C][C]2787[/C][C]2832.02789091576[/C][C]-45.0278909157582[/C][/ROW]
[ROW][C]30[/C][C]3579[/C][C]3028.70282103169[/C][C]550.297178968308[/C][/ROW]
[ROW][C]31[/C][C]2915[/C][C]3404.5079157739[/C][C]-489.507915773901[/C][/ROW]
[ROW][C]32[/C][C]3025[/C][C]2779.73646370714[/C][C]245.263536292865[/C][/ROW]
[ROW][C]33[/C][C]3245[/C][C]3098.40881027474[/C][C]146.591189725258[/C][/ROW]
[ROW][C]34[/C][C]3328[/C][C]3770.60990615604[/C][C]-442.60990615604[/C][/ROW]
[ROW][C]35[/C][C]2840[/C][C]2753.20750560925[/C][C]86.7924943907451[/C][/ROW]
[ROW][C]36[/C][C]3342[/C][C]3370.37156513183[/C][C]-28.3715651318334[/C][/ROW]
[ROW][C]37[/C][C]2261[/C][C]2982.56727204161[/C][C]-721.567272041609[/C][/ROW]
[ROW][C]38[/C][C]2590[/C][C]2362.25397193579[/C][C]227.746028064212[/C][/ROW]
[ROW][C]39[/C][C]2624[/C][C]3043.03531019471[/C][C]-419.035310194713[/C][/ROW]
[ROW][C]40[/C][C]1860[/C][C]2567.21444897813[/C][C]-707.214448978127[/C][/ROW]
[ROW][C]41[/C][C]2577[/C][C]2662.28931807094[/C][C]-85.2893180709425[/C][/ROW]
[ROW][C]42[/C][C]2646[/C][C]3026.44243733952[/C][C]-380.442437339522[/C][/ROW]
[ROW][C]43[/C][C]2639[/C][C]2711.19539137408[/C][C]-72.1953913740849[/C][/ROW]
[ROW][C]44[/C][C]2807[/C][C]2446.44018641471[/C][C]360.559813585287[/C][/ROW]
[ROW][C]45[/C][C]2350[/C][C]2640.43162941946[/C][C]-290.431629419461[/C][/ROW]
[ROW][C]46[/C][C]3053[/C][C]2811.06943297045[/C][C]241.930567029547[/C][/ROW]
[ROW][C]47[/C][C]2203[/C][C]2223.62822029048[/C][C]-20.6282202904804[/C][/ROW]
[ROW][C]48[/C][C]2471[/C][C]2588.39862388773[/C][C]-117.398623887731[/C][/ROW]
[ROW][C]49[/C][C]1967[/C][C]1971.3012548089[/C][C]-4.3012548088991[/C][/ROW]
[ROW][C]50[/C][C]2473[/C][C]1876.48323524432[/C][C]596.516764755676[/C][/ROW]
[ROW][C]51[/C][C]2397[/C][C]2226.3642738869[/C][C]170.635726113096[/C][/ROW]
[ROW][C]52[/C][C]1904[/C][C]1802.59447896646[/C][C]101.40552103354[/C][/ROW]
[ROW][C]53[/C][C]2732[/C][C]2259.83742479131[/C][C]472.162575208691[/C][/ROW]
[ROW][C]54[/C][C]2297[/C][C]2599.76494674393[/C][C]-302.764946743925[/C][/ROW]
[ROW][C]55[/C][C]2734[/C][C]2488.05808896633[/C][C]245.941911033672[/C][/ROW]
[ROW][C]56[/C][C]2719[/C][C]2525.9149324209[/C][C]193.085067579095[/C][/ROW]
[ROW][C]57[/C][C]2296[/C][C]2451.05918278174[/C][C]-155.059182781738[/C][/ROW]
[ROW][C]58[/C][C]3243[/C][C]2938.93567391261[/C][C]304.064326087389[/C][/ROW]
[ROW][C]59[/C][C]2166[/C][C]2287.81263643043[/C][C]-121.812636430429[/C][/ROW]
[ROW][C]60[/C][C]2261[/C][C]2656.14468221473[/C][C]-395.144682214733[/C][/ROW]
[ROW][C]61[/C][C]2408[/C][C]2064.20801841974[/C][C]343.791981580256[/C][/ROW]
[ROW][C]62[/C][C]2536[/C][C]2354.29016144945[/C][C]181.709838550554[/C][/ROW]
[ROW][C]63[/C][C]2324[/C][C]2484.36450117872[/C][C]-160.364501178722[/C][/ROW]
[ROW][C]64[/C][C]2178[/C][C]1968.58374853964[/C][C]209.416251460361[/C][/ROW]
[ROW][C]65[/C][C]2803[/C][C]2681.83057929198[/C][C]121.169420708018[/C][/ROW]
[ROW][C]66[/C][C]2604[/C][C]2624.83730681043[/C][C]-20.8373068104347[/C][/ROW]
[ROW][C]67[/C][C]2782[/C][C]2852.14128842523[/C][C]-70.1412884252336[/C][/ROW]
[ROW][C]68[/C][C]2656[/C][C]2827.66395408556[/C][C]-171.663954085555[/C][/ROW]
[ROW][C]69[/C][C]2801[/C][C]2523.37274106676[/C][C]277.627258933244[/C][/ROW]
[ROW][C]70[/C][C]3122[/C][C]3380.23848973968[/C][C]-258.238489739682[/C][/ROW]
[ROW][C]71[/C][C]2393[/C][C]2385.85102343802[/C][C]7.14897656197627[/C][/ROW]
[ROW][C]72[/C][C]2233[/C][C]2679.12480427397[/C][C]-446.124804273972[/C][/ROW]
[ROW][C]73[/C][C]2451[/C][C]2397.07514330669[/C][C]53.9248566933079[/C][/ROW]
[ROW][C]74[/C][C]2596[/C][C]2568.1568855993[/C][C]27.8431144007018[/C][/ROW]
[ROW][C]75[/C][C]2467[/C][C]2505.29284081548[/C][C]-38.2928408154789[/C][/ROW]
[ROW][C]76[/C][C]2210[/C][C]2153.93996000184[/C][C]56.0600399981581[/C][/ROW]
[ROW][C]77[/C][C]2948[/C][C]2806.87856845236[/C][C]141.121431547644[/C][/ROW]
[ROW][C]78[/C][C]2507[/C][C]2673.15627740145[/C][C]-166.156277401452[/C][/ROW]
[ROW][C]79[/C][C]3019[/C][C]2837.50271843432[/C][C]181.497281565678[/C][/ROW]
[ROW][C]80[/C][C]2401[/C][C]2798.54113868198[/C][C]-397.541138681981[/C][/ROW]
[ROW][C]81[/C][C]2818[/C][C]2637.82473927153[/C][C]180.175260728475[/C][/ROW]
[ROW][C]82[/C][C]3305[/C][C]3206.20629223101[/C][C]98.7937077689894[/C][/ROW]
[ROW][C]83[/C][C]2101[/C][C]2381.6013733095[/C][C]-280.601373309505[/C][/ROW]
[ROW][C]84[/C][C]2582[/C][C]2395.21178956928[/C][C]186.788210430715[/C][/ROW]
[ROW][C]85[/C][C]2407[/C][C]2446.10399321619[/C][C]-39.1039932161939[/C][/ROW]
[ROW][C]86[/C][C]2416[/C][C]2587.40259608043[/C][C]-171.402596080429[/C][/ROW]
[ROW][C]87[/C][C]2463[/C][C]2452.71881276052[/C][C]10.2811872394846[/C][/ROW]
[ROW][C]88[/C][C]2228[/C][C]2148.57089627506[/C][C]79.4291037249436[/C][/ROW]
[ROW][C]89[/C][C]2616[/C][C]2827.2707847227[/C][C]-211.270784722695[/C][/ROW]
[ROW][C]90[/C][C]2934[/C][C]2487.97999377284[/C][C]446.020006227157[/C][/ROW]
[ROW][C]91[/C][C]2668[/C][C]2914.42713391071[/C][C]-246.427133910707[/C][/ROW]
[ROW][C]92[/C][C]2808[/C][C]2537.33694575548[/C][C]270.663054244516[/C][/ROW]
[ROW][C]93[/C][C]2664[/C][C]2763.5433325102[/C][C]-99.5433325101963[/C][/ROW]
[ROW][C]94[/C][C]3112[/C][C]3250.46276920644[/C][C]-138.462769206437[/C][/ROW]
[ROW][C]95[/C][C]2321[/C][C]2222.09193465503[/C][C]98.9080653449741[/C][/ROW]
[ROW][C]96[/C][C]2718[/C][C]2523.23509695113[/C][C]194.76490304887[/C][/ROW]
[ROW][C]97[/C][C]2297[/C][C]2482.74335362914[/C][C]-185.74335362914[/C][/ROW]
[ROW][C]98[/C][C]2534[/C][C]2545.1591026721[/C][C]-11.1591026720994[/C][/ROW]
[ROW][C]99[/C][C]2647[/C][C]2529.34829227457[/C][C]117.651707725426[/C][/ROW]
[ROW][C]100[/C][C]2064[/C][C]2277.00803426151[/C][C]-213.008034261514[/C][/ROW]
[ROW][C]101[/C][C]2642[/C][C]2787.92661302048[/C][C]-145.926613020483[/C][/ROW]
[ROW][C]102[/C][C]2702[/C][C]2753.69071525697[/C][C]-51.6907152569715[/C][/ROW]
[ROW][C]103[/C][C]2348[/C][C]2769.72802006993[/C][C]-421.728020069935[/C][/ROW]
[ROW][C]104[/C][C]2734[/C][C]2576.13025220513[/C][C]157.869747794874[/C][/ROW]
[ROW][C]105[/C][C]2709[/C][C]2593.54088779387[/C][C]115.459112206134[/C][/ROW]
[ROW][C]106[/C][C]3206[/C][C]3064.90075409667[/C][C]141.099245903335[/C][/ROW]
[ROW][C]107[/C][C]2214[/C][C]2205.34282614853[/C][C]8.65717385147036[/C][/ROW]
[ROW][C]108[/C][C]2531[/C][C]2511.1218321032[/C][C]19.8781678968035[/C][/ROW]
[ROW][C]109[/C][C]2119[/C][C]2266.01738247318[/C][C]-147.017382473177[/C][/ROW]
[ROW][C]110[/C][C]2369[/C][C]2388.84158716465[/C][C]-19.8415871646548[/C][/ROW]
[ROW][C]111[/C][C]2682[/C][C]2410.49783892123[/C][C]271.502161078775[/C][/ROW]
[ROW][C]112[/C][C]1840[/C][C]2049.47897089925[/C][C]-209.478970899248[/C][/ROW]
[ROW][C]113[/C][C]2622[/C][C]2543.39653347079[/C][C]78.6034665292073[/C][/ROW]
[ROW][C]114[/C][C]2570[/C][C]2583.40779543501[/C][C]-13.4077954350132[/C][/ROW]
[ROW][C]115[/C][C]2447[/C][C]2439.38283547798[/C][C]7.6171645220229[/C][/ROW]
[ROW][C]116[/C][C]2871[/C][C]2585.42450967471[/C][C]285.575490325286[/C][/ROW]
[ROW][C]117[/C][C]2485[/C][C]2621.0496410167[/C][C]-136.049641016702[/C][/ROW]
[ROW][C]118[/C][C]2957[/C][C]3056.71053321135[/C][C]-99.7105332113506[/C][/ROW]
[ROW][C]119[/C][C]2102[/C][C]2130.0550864386[/C][C]-28.0550864386032[/C][/ROW]
[ROW][C]120[/C][C]2250[/C][C]2420.87076170534[/C][C]-170.870761705344[/C][/ROW]
[ROW][C]121[/C][C]2051[/C][C]2077.27646553087[/C][C]-26.2764655308729[/C][/ROW]
[ROW][C]122[/C][C]2260[/C][C]2264.23483669759[/C][C]-4.23483669759298[/C][/ROW]
[ROW][C]123[/C][C]2327[/C][C]2406.00980691255[/C][C]-79.0098069125511[/C][/ROW]
[ROW][C]124[/C][C]1781[/C][C]1801.04655325496[/C][C]-20.0465532549588[/C][/ROW]
[ROW][C]125[/C][C]2631[/C][C]2406.08920853327[/C][C]224.910791466734[/C][/ROW]
[ROW][C]126[/C][C]2180[/C][C]2427.54880309436[/C][C]-247.548803094357[/C][/ROW]
[ROW][C]127[/C][C]2150[/C][C]2252.01875308763[/C][C]-102.018753087626[/C][/ROW]
[ROW][C]128[/C][C]2837[/C][C]2462.52850658601[/C][C]374.471493413993[/C][/ROW]
[ROW][C]129[/C][C]1976[/C][C]2329.17290150422[/C][C]-353.172901504215[/C][/ROW]
[ROW][C]130[/C][C]2836[/C][C]2670.08193601749[/C][C]165.918063982509[/C][/ROW]
[ROW][C]131[/C][C]2203[/C][C]1897.21139710037[/C][C]305.788602899634[/C][/ROW]
[ROW][C]132[/C][C]1770[/C][C]2163.18986505977[/C][C]-393.189865059775[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267088&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267088&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1324932394.3707820701598.629217929848
1421362068.8658083836267.1341916163806
1524672394.7370577812372.2629422187661
1624142346.2201521728467.7798478271634
1725562505.5302026168950.4697973831089
1827682732.9715222396335.028477760372
1929983033.48212563897-35.4821256389655
2025732519.6129791628553.3870208371509
2130052678.0712396617326.928760338298
2234693539.12654308962-70.1265430896206
2325402714.36562196796-174.36562196796
2431873211.34444785063-24.3444478506308
2526892996.4308173211-307.4308173211
2621542514.81712855113-360.817128551133
2730652803.36549146517261.634508534833
2823972762.92111918242-365.921119182424
2927872832.02789091576-45.0278909157582
3035793028.70282103169550.297178968308
3129153404.5079157739-489.507915773901
3230252779.73646370714245.263536292865
3332453098.40881027474146.591189725258
3433283770.60990615604-442.60990615604
3528402753.2075056092586.7924943907451
3633423370.37156513183-28.3715651318334
3722612982.56727204161-721.567272041609
3825902362.25397193579227.746028064212
3926243043.03531019471-419.035310194713
4018602567.21444897813-707.214448978127
4125772662.28931807094-85.2893180709425
4226463026.44243733952-380.442437339522
4326392711.19539137408-72.1953913740849
4428072446.44018641471360.559813585287
4523502640.43162941946-290.431629419461
4630532811.06943297045241.930567029547
4722032223.62822029048-20.6282202904804
4824712588.39862388773-117.398623887731
4919671971.3012548089-4.3012548088991
5024731876.48323524432596.516764755676
5123972226.3642738869170.635726113096
5219041802.59447896646101.40552103354
5327322259.83742479131472.162575208691
5422972599.76494674393-302.764946743925
5527342488.05808896633245.941911033672
5627192525.9149324209193.085067579095
5722962451.05918278174-155.059182781738
5832432938.93567391261304.064326087389
5921662287.81263643043-121.812636430429
6022612656.14468221473-395.144682214733
6124082064.20801841974343.791981580256
6225362354.29016144945181.709838550554
6323242484.36450117872-160.364501178722
6421781968.58374853964209.416251460361
6528032681.83057929198121.169420708018
6626042624.83730681043-20.8373068104347
6727822852.14128842523-70.1412884252336
6826562827.66395408556-171.663954085555
6928012523.37274106676277.627258933244
7031223380.23848973968-258.238489739682
7123932385.851023438027.14897656197627
7222332679.12480427397-446.124804273972
7324512397.0751433066953.9248566933079
7425962568.156885599327.8431144007018
7524672505.29284081548-38.2928408154789
7622102153.9399600018456.0600399981581
7729482806.87856845236141.121431547644
7825072673.15627740145-166.156277401452
7930192837.50271843432181.497281565678
8024012798.54113868198-397.541138681981
8128182637.82473927153180.175260728475
8233053206.2062922310198.7937077689894
8321012381.6013733095-280.601373309505
8425822395.21178956928186.788210430715
8524072446.10399321619-39.1039932161939
8624162587.40259608043-171.402596080429
8724632452.7188127605210.2811872394846
8822282148.5708962750679.4291037249436
8926162827.2707847227-211.270784722695
9029342487.97999377284446.020006227157
9126682914.42713391071-246.427133910707
9228082537.33694575548270.663054244516
9326642763.5433325102-99.5433325101963
9431123250.46276920644-138.462769206437
9523212222.0919346550398.9080653449741
9627182523.23509695113194.76490304887
9722972482.74335362914-185.74335362914
9825342545.1591026721-11.1591026720994
9926472529.34829227457117.651707725426
10020642277.00803426151-213.008034261514
10126422787.92661302048-145.926613020483
10227022753.69071525697-51.6907152569715
10323482769.72802006993-421.728020069935
10427342576.13025220513157.869747794874
10527092593.54088779387115.459112206134
10632063064.90075409667141.099245903335
10722142205.342826148538.65717385147036
10825312511.121832103219.8781678968035
10921192266.01738247318-147.017382473177
11023692388.84158716465-19.8415871646548
11126822410.49783892123271.502161078775
11218402049.47897089925-209.478970899248
11326222543.3965334707978.6034665292073
11425702583.40779543501-13.4077954350132
11524472439.382835477987.6171645220229
11628712585.42450967471285.575490325286
11724852621.0496410167-136.049641016702
11829573056.71053321135-99.7105332113506
11921022130.0550864386-28.0550864386032
12022502420.87076170534-170.870761705344
12120512077.27646553087-26.2764655308729
12222602264.23483669759-4.23483669759298
12323272406.00980691255-79.0098069125511
12417811801.04655325496-20.0465532549588
12526312406.08920853327224.910791466734
12621802427.54880309436-247.548803094357
12721502252.01875308763-102.018753087626
12828372462.52850658601374.471493413993
12919762329.17290150422-353.172901504215
13028362670.08193601749165.918063982509
13122031897.21139710037305.788602899634
13217702163.18986505977-393.189865059775







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331863.406116602351568.845079433032157.96715377166
1342038.922293482441725.31534123062352.52924573428
1352130.212727594871791.285612331472469.13984285826
1361616.22616733971278.255675348061954.19665933134
1372260.043588970031839.645977488832680.44120045124
1382044.887325593921607.948508224312481.82614296353
1391980.562353808891510.44813338522450.67657423257
1402376.7169751841789.679256089762963.75469427824
1411901.309828669361354.982388645622447.63726869311
1422472.285609809091735.335653633763209.23556598443
1431806.980348326741183.537594164362430.42310248912
1441702.736144901651126.841462806032278.63082699726

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 1863.40611660235 & 1568.84507943303 & 2157.96715377166 \tabularnewline
134 & 2038.92229348244 & 1725.3153412306 & 2352.52924573428 \tabularnewline
135 & 2130.21272759487 & 1791.28561233147 & 2469.13984285826 \tabularnewline
136 & 1616.2261673397 & 1278.25567534806 & 1954.19665933134 \tabularnewline
137 & 2260.04358897003 & 1839.64597748883 & 2680.44120045124 \tabularnewline
138 & 2044.88732559392 & 1607.94850822431 & 2481.82614296353 \tabularnewline
139 & 1980.56235380889 & 1510.4481333852 & 2450.67657423257 \tabularnewline
140 & 2376.716975184 & 1789.67925608976 & 2963.75469427824 \tabularnewline
141 & 1901.30982866936 & 1354.98238864562 & 2447.63726869311 \tabularnewline
142 & 2472.28560980909 & 1735.33565363376 & 3209.23556598443 \tabularnewline
143 & 1806.98034832674 & 1183.53759416436 & 2430.42310248912 \tabularnewline
144 & 1702.73614490165 & 1126.84146280603 & 2278.63082699726 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267088&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]133[/C][C]1863.40611660235[/C][C]1568.84507943303[/C][C]2157.96715377166[/C][/ROW]
[ROW][C]134[/C][C]2038.92229348244[/C][C]1725.3153412306[/C][C]2352.52924573428[/C][/ROW]
[ROW][C]135[/C][C]2130.21272759487[/C][C]1791.28561233147[/C][C]2469.13984285826[/C][/ROW]
[ROW][C]136[/C][C]1616.2261673397[/C][C]1278.25567534806[/C][C]1954.19665933134[/C][/ROW]
[ROW][C]137[/C][C]2260.04358897003[/C][C]1839.64597748883[/C][C]2680.44120045124[/C][/ROW]
[ROW][C]138[/C][C]2044.88732559392[/C][C]1607.94850822431[/C][C]2481.82614296353[/C][/ROW]
[ROW][C]139[/C][C]1980.56235380889[/C][C]1510.4481333852[/C][C]2450.67657423257[/C][/ROW]
[ROW][C]140[/C][C]2376.716975184[/C][C]1789.67925608976[/C][C]2963.75469427824[/C][/ROW]
[ROW][C]141[/C][C]1901.30982866936[/C][C]1354.98238864562[/C][C]2447.63726869311[/C][/ROW]
[ROW][C]142[/C][C]2472.28560980909[/C][C]1735.33565363376[/C][C]3209.23556598443[/C][/ROW]
[ROW][C]143[/C][C]1806.98034832674[/C][C]1183.53759416436[/C][C]2430.42310248912[/C][/ROW]
[ROW][C]144[/C][C]1702.73614490165[/C][C]1126.84146280603[/C][C]2278.63082699726[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267088&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267088&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331863.406116602351568.845079433032157.96715377166
1342038.922293482441725.31534123062352.52924573428
1352130.212727594871791.285612331472469.13984285826
1361616.22616733971278.255675348061954.19665933134
1372260.043588970031839.645977488832680.44120045124
1382044.887325593921607.948508224312481.82614296353
1391980.562353808891510.44813338522450.67657423257
1402376.7169751841789.679256089762963.75469427824
1411901.309828669361354.982388645622447.63726869311
1422472.285609809091735.335653633763209.23556598443
1431806.980348326741183.537594164362430.42310248912
1441702.736144901651126.841462806032278.63082699726



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = multiplicative ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')