Free Statistics

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 13:32:46 +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/t1418477579usa0wj210f7yvzd.htm/, Retrieved Sun, 12 May 2024 05:00:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267087, Retrieved Sun, 12 May 2024 05:00:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103
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 13:32:46] [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'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267087&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267087&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267087&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'George Udny Yule' @ yule.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.209653484126874
beta0.112514009413976
gamma0.530036144844219

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.209653484126874 \tabularnewline
beta & 0.112514009413976 \tabularnewline
gamma & 0.530036144844219 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267087&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]0.209653484126874[/C][/ROW]
[ROW][C]beta[/C][C]0.112514009413976[/C][/ROW]
[ROW][C]gamma[/C][C]0.530036144844219[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267087&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267087&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
alpha0.209653484126874
beta0.112514009413976
gamma0.530036144844219







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1324932396.2123397435996.7876602564102
1421362060.8547829907475.1452170092625
1524672395.8574096799771.1425903200288
1624142343.4490510348270.5509489651831
1725562504.9558758141851.0441241858198
1827682732.5354376494535.464562350553
1929982994.560261997773.43973800222648
2025732541.0354434980631.9645565019391
2130052680.53662970329324.463370296707
2234693439.4732962016629.5267037983385
2325402747.14696703211-207.146967032113
2431873156.3147978773430.6852021226623
2526892980.65600377589-291.656003775887
2621542560.09224174796-406.092241747961
2730652786.47176719435278.528232805653
2823972776.13345357106-379.133453571059
2927872823.42191290614-36.4219129061444
3035793012.30539773402566.694602265977
3129153370.98797282242-455.98797282242
3230252820.95362219377204.046377806234
3332453110.98461260965134.015387390345
3433283693.86907667094-365.869076670939
3528402797.6026332098742.3973667901309
3633423342.70707661522-0.707076615220103
3722613008.6815720774-747.6815720774
3825902417.06201652568172.937983474323
3926243037.78214086509-413.782140865086
4018602576.61416205575-716.614162055753
4125772658.57198457818-81.5719845781796
4226463051.43475221528-405.43475221528
4326392715.75355228176-76.7535522817589
4428072468.52997731859338.470022681409
4523502707.38393148892-357.383931488924
4630532916.22292545947136.777074540528
4722032246.6085181717-43.6085181717012
4824712703.8384781316-232.838478131604
4919671950.9672631552116.0327368447906
5024731865.87526835649607.124731643514
5123972302.8353513421994.1646486578115
5219041804.2775099599499.7224900400583
5327322325.64396985952406.356030140483
5422972698.87607169067-401.87607169067
5527342515.45707532515218.542924674852
5627192524.87894291963194.121057080372
5722962459.3561449865-163.356144986503
5832432937.84897367118305.15102632882
5921662253.90593726847-87.9059372684742
6022612647.47003092667-386.470030926674
6124081987.91259587642420.087404123581
6225362265.94693381706270.053066182941
6323242440.201556362-116.201556361998
6421781917.75367202243260.246327977571
6528032622.89935758939180.100642410607
6626042626.45310341624-22.453103416241
6727822807.76792329271-25.7679232927098
6826562775.26088390749-119.260883907485
6928012506.41488180487294.585118195129
7031223300.11240673358-178.112406733581
7123932361.7277990538531.2722009461527
7222332669.5498014214-436.549801421397
7324512350.53234876049100.467651239508
7425962504.3291933890891.6708066109181
7524672480.79384033455-13.7938403345483
7622102141.3456686358668.6543313641432
7729482772.06092177106175.939078228937
7825072689.10327909649-182.103279096494
7930192831.00562151766187.994378482339
8024012804.63903554911-403.639035549107
8128182643.31891340682174.681086593183
8233053204.81256255617100.187437443825
8321012410.00625193562-309.006251935622
8425822440.00251871651141.997481283494
8524072470.38119974462-63.3811997446182
8624162585.41493982477-169.41493982477
8724632456.076364913016.92363508698645
8822282149.1136783273278.8863216726777
8926162820.76180488751-204.761804887512
9029342492.86505059995441.134949400049
9126682920.03590234588-252.035902345876
9228082542.75912546679265.240874533213
9326642768.9017085724-104.901708572398
9431123238.94282011516-126.942820115159
9523212218.11312692241102.886873077594
9627182526.12282999301191.877170006992
9722972484.82756421863-187.82756421863
9825342530.3205432863.67945671400412
9926472516.19399379288130.806006207123
10020642273.32378046919-209.323780469191
10126422766.89946730224-124.899467302241
10227022729.37952166631-27.3795216663134
10323482759.95452310713-411.954523107131
10427342554.07908186594179.920918134065
10527092593.49944748439115.500552515605
10632063091.93708879312114.062911206878
10722142215.02034587353-1.02034587353182
10825312533.18039065146-2.18039065146195
10921192282.21544228675-163.215442286752
11023692403.75175845762-34.7517584576153
11126822424.57497238424257.425027615756
11218402058.50530065374-218.505300653737
11326222578.0447905607343.9552094392661
11425702613.28358267664-43.2835826766382
11524472475.55138390537-28.5513839053651
11628712603.1759902806267.824009719397
11724852641.28699729708-156.286997297082
11829573082.97793267822-125.977932678221
11921022102.70044165537-0.700441655369104
12022502415.62357863982-165.623578639825
12120512054.25917166851-3.25917166850741
12222602258.245611683981.75438831601514
12323272405.07976185932-78.0797618593224
12417811757.3439736377823.6560263622237
12526312431.36033905788199.639660942117
12621802460.12495066945-280.124950669453
12721502270.75421977671-120.754219776714
12828372492.87307387333344.126926126673
12919762360.78549482861-384.785494828614
13028362753.3472463692782.6527536307312
13122031860.29104196146342.708958038536
13217702175.22437154089-405.224371540889

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 2493 & 2396.21233974359 & 96.7876602564102 \tabularnewline
14 & 2136 & 2060.85478299074 & 75.1452170092625 \tabularnewline
15 & 2467 & 2395.85740967997 & 71.1425903200288 \tabularnewline
16 & 2414 & 2343.44905103482 & 70.5509489651831 \tabularnewline
17 & 2556 & 2504.95587581418 & 51.0441241858198 \tabularnewline
18 & 2768 & 2732.53543764945 & 35.464562350553 \tabularnewline
19 & 2998 & 2994.56026199777 & 3.43973800222648 \tabularnewline
20 & 2573 & 2541.03544349806 & 31.9645565019391 \tabularnewline
21 & 3005 & 2680.53662970329 & 324.463370296707 \tabularnewline
22 & 3469 & 3439.47329620166 & 29.5267037983385 \tabularnewline
23 & 2540 & 2747.14696703211 & -207.146967032113 \tabularnewline
24 & 3187 & 3156.31479787734 & 30.6852021226623 \tabularnewline
25 & 2689 & 2980.65600377589 & -291.656003775887 \tabularnewline
26 & 2154 & 2560.09224174796 & -406.092241747961 \tabularnewline
27 & 3065 & 2786.47176719435 & 278.528232805653 \tabularnewline
28 & 2397 & 2776.13345357106 & -379.133453571059 \tabularnewline
29 & 2787 & 2823.42191290614 & -36.4219129061444 \tabularnewline
30 & 3579 & 3012.30539773402 & 566.694602265977 \tabularnewline
31 & 2915 & 3370.98797282242 & -455.98797282242 \tabularnewline
32 & 3025 & 2820.95362219377 & 204.046377806234 \tabularnewline
33 & 3245 & 3110.98461260965 & 134.015387390345 \tabularnewline
34 & 3328 & 3693.86907667094 & -365.869076670939 \tabularnewline
35 & 2840 & 2797.60263320987 & 42.3973667901309 \tabularnewline
36 & 3342 & 3342.70707661522 & -0.707076615220103 \tabularnewline
37 & 2261 & 3008.6815720774 & -747.6815720774 \tabularnewline
38 & 2590 & 2417.06201652568 & 172.937983474323 \tabularnewline
39 & 2624 & 3037.78214086509 & -413.782140865086 \tabularnewline
40 & 1860 & 2576.61416205575 & -716.614162055753 \tabularnewline
41 & 2577 & 2658.57198457818 & -81.5719845781796 \tabularnewline
42 & 2646 & 3051.43475221528 & -405.43475221528 \tabularnewline
43 & 2639 & 2715.75355228176 & -76.7535522817589 \tabularnewline
44 & 2807 & 2468.52997731859 & 338.470022681409 \tabularnewline
45 & 2350 & 2707.38393148892 & -357.383931488924 \tabularnewline
46 & 3053 & 2916.22292545947 & 136.777074540528 \tabularnewline
47 & 2203 & 2246.6085181717 & -43.6085181717012 \tabularnewline
48 & 2471 & 2703.8384781316 & -232.838478131604 \tabularnewline
49 & 1967 & 1950.96726315521 & 16.0327368447906 \tabularnewline
50 & 2473 & 1865.87526835649 & 607.124731643514 \tabularnewline
51 & 2397 & 2302.83535134219 & 94.1646486578115 \tabularnewline
52 & 1904 & 1804.27750995994 & 99.7224900400583 \tabularnewline
53 & 2732 & 2325.64396985952 & 406.356030140483 \tabularnewline
54 & 2297 & 2698.87607169067 & -401.87607169067 \tabularnewline
55 & 2734 & 2515.45707532515 & 218.542924674852 \tabularnewline
56 & 2719 & 2524.87894291963 & 194.121057080372 \tabularnewline
57 & 2296 & 2459.3561449865 & -163.356144986503 \tabularnewline
58 & 3243 & 2937.84897367118 & 305.15102632882 \tabularnewline
59 & 2166 & 2253.90593726847 & -87.9059372684742 \tabularnewline
60 & 2261 & 2647.47003092667 & -386.470030926674 \tabularnewline
61 & 2408 & 1987.91259587642 & 420.087404123581 \tabularnewline
62 & 2536 & 2265.94693381706 & 270.053066182941 \tabularnewline
63 & 2324 & 2440.201556362 & -116.201556361998 \tabularnewline
64 & 2178 & 1917.75367202243 & 260.246327977571 \tabularnewline
65 & 2803 & 2622.89935758939 & 180.100642410607 \tabularnewline
66 & 2604 & 2626.45310341624 & -22.453103416241 \tabularnewline
67 & 2782 & 2807.76792329271 & -25.7679232927098 \tabularnewline
68 & 2656 & 2775.26088390749 & -119.260883907485 \tabularnewline
69 & 2801 & 2506.41488180487 & 294.585118195129 \tabularnewline
70 & 3122 & 3300.11240673358 & -178.112406733581 \tabularnewline
71 & 2393 & 2361.72779905385 & 31.2722009461527 \tabularnewline
72 & 2233 & 2669.5498014214 & -436.549801421397 \tabularnewline
73 & 2451 & 2350.53234876049 & 100.467651239508 \tabularnewline
74 & 2596 & 2504.32919338908 & 91.6708066109181 \tabularnewline
75 & 2467 & 2480.79384033455 & -13.7938403345483 \tabularnewline
76 & 2210 & 2141.34566863586 & 68.6543313641432 \tabularnewline
77 & 2948 & 2772.06092177106 & 175.939078228937 \tabularnewline
78 & 2507 & 2689.10327909649 & -182.103279096494 \tabularnewline
79 & 3019 & 2831.00562151766 & 187.994378482339 \tabularnewline
80 & 2401 & 2804.63903554911 & -403.639035549107 \tabularnewline
81 & 2818 & 2643.31891340682 & 174.681086593183 \tabularnewline
82 & 3305 & 3204.81256255617 & 100.187437443825 \tabularnewline
83 & 2101 & 2410.00625193562 & -309.006251935622 \tabularnewline
84 & 2582 & 2440.00251871651 & 141.997481283494 \tabularnewline
85 & 2407 & 2470.38119974462 & -63.3811997446182 \tabularnewline
86 & 2416 & 2585.41493982477 & -169.41493982477 \tabularnewline
87 & 2463 & 2456.07636491301 & 6.92363508698645 \tabularnewline
88 & 2228 & 2149.11367832732 & 78.8863216726777 \tabularnewline
89 & 2616 & 2820.76180488751 & -204.761804887512 \tabularnewline
90 & 2934 & 2492.86505059995 & 441.134949400049 \tabularnewline
91 & 2668 & 2920.03590234588 & -252.035902345876 \tabularnewline
92 & 2808 & 2542.75912546679 & 265.240874533213 \tabularnewline
93 & 2664 & 2768.9017085724 & -104.901708572398 \tabularnewline
94 & 3112 & 3238.94282011516 & -126.942820115159 \tabularnewline
95 & 2321 & 2218.11312692241 & 102.886873077594 \tabularnewline
96 & 2718 & 2526.12282999301 & 191.877170006992 \tabularnewline
97 & 2297 & 2484.82756421863 & -187.82756421863 \tabularnewline
98 & 2534 & 2530.320543286 & 3.67945671400412 \tabularnewline
99 & 2647 & 2516.19399379288 & 130.806006207123 \tabularnewline
100 & 2064 & 2273.32378046919 & -209.323780469191 \tabularnewline
101 & 2642 & 2766.89946730224 & -124.899467302241 \tabularnewline
102 & 2702 & 2729.37952166631 & -27.3795216663134 \tabularnewline
103 & 2348 & 2759.95452310713 & -411.954523107131 \tabularnewline
104 & 2734 & 2554.07908186594 & 179.920918134065 \tabularnewline
105 & 2709 & 2593.49944748439 & 115.500552515605 \tabularnewline
106 & 3206 & 3091.93708879312 & 114.062911206878 \tabularnewline
107 & 2214 & 2215.02034587353 & -1.02034587353182 \tabularnewline
108 & 2531 & 2533.18039065146 & -2.18039065146195 \tabularnewline
109 & 2119 & 2282.21544228675 & -163.215442286752 \tabularnewline
110 & 2369 & 2403.75175845762 & -34.7517584576153 \tabularnewline
111 & 2682 & 2424.57497238424 & 257.425027615756 \tabularnewline
112 & 1840 & 2058.50530065374 & -218.505300653737 \tabularnewline
113 & 2622 & 2578.04479056073 & 43.9552094392661 \tabularnewline
114 & 2570 & 2613.28358267664 & -43.2835826766382 \tabularnewline
115 & 2447 & 2475.55138390537 & -28.5513839053651 \tabularnewline
116 & 2871 & 2603.1759902806 & 267.824009719397 \tabularnewline
117 & 2485 & 2641.28699729708 & -156.286997297082 \tabularnewline
118 & 2957 & 3082.97793267822 & -125.977932678221 \tabularnewline
119 & 2102 & 2102.70044165537 & -0.700441655369104 \tabularnewline
120 & 2250 & 2415.62357863982 & -165.623578639825 \tabularnewline
121 & 2051 & 2054.25917166851 & -3.25917166850741 \tabularnewline
122 & 2260 & 2258.24561168398 & 1.75438831601514 \tabularnewline
123 & 2327 & 2405.07976185932 & -78.0797618593224 \tabularnewline
124 & 1781 & 1757.34397363778 & 23.6560263622237 \tabularnewline
125 & 2631 & 2431.36033905788 & 199.639660942117 \tabularnewline
126 & 2180 & 2460.12495066945 & -280.124950669453 \tabularnewline
127 & 2150 & 2270.75421977671 & -120.754219776714 \tabularnewline
128 & 2837 & 2492.87307387333 & 344.126926126673 \tabularnewline
129 & 1976 & 2360.78549482861 & -384.785494828614 \tabularnewline
130 & 2836 & 2753.34724636927 & 82.6527536307312 \tabularnewline
131 & 2203 & 1860.29104196146 & 342.708958038536 \tabularnewline
132 & 1770 & 2175.22437154089 & -405.224371540889 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267087&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]2396.21233974359[/C][C]96.7876602564102[/C][/ROW]
[ROW][C]14[/C][C]2136[/C][C]2060.85478299074[/C][C]75.1452170092625[/C][/ROW]
[ROW][C]15[/C][C]2467[/C][C]2395.85740967997[/C][C]71.1425903200288[/C][/ROW]
[ROW][C]16[/C][C]2414[/C][C]2343.44905103482[/C][C]70.5509489651831[/C][/ROW]
[ROW][C]17[/C][C]2556[/C][C]2504.95587581418[/C][C]51.0441241858198[/C][/ROW]
[ROW][C]18[/C][C]2768[/C][C]2732.53543764945[/C][C]35.464562350553[/C][/ROW]
[ROW][C]19[/C][C]2998[/C][C]2994.56026199777[/C][C]3.43973800222648[/C][/ROW]
[ROW][C]20[/C][C]2573[/C][C]2541.03544349806[/C][C]31.9645565019391[/C][/ROW]
[ROW][C]21[/C][C]3005[/C][C]2680.53662970329[/C][C]324.463370296707[/C][/ROW]
[ROW][C]22[/C][C]3469[/C][C]3439.47329620166[/C][C]29.5267037983385[/C][/ROW]
[ROW][C]23[/C][C]2540[/C][C]2747.14696703211[/C][C]-207.146967032113[/C][/ROW]
[ROW][C]24[/C][C]3187[/C][C]3156.31479787734[/C][C]30.6852021226623[/C][/ROW]
[ROW][C]25[/C][C]2689[/C][C]2980.65600377589[/C][C]-291.656003775887[/C][/ROW]
[ROW][C]26[/C][C]2154[/C][C]2560.09224174796[/C][C]-406.092241747961[/C][/ROW]
[ROW][C]27[/C][C]3065[/C][C]2786.47176719435[/C][C]278.528232805653[/C][/ROW]
[ROW][C]28[/C][C]2397[/C][C]2776.13345357106[/C][C]-379.133453571059[/C][/ROW]
[ROW][C]29[/C][C]2787[/C][C]2823.42191290614[/C][C]-36.4219129061444[/C][/ROW]
[ROW][C]30[/C][C]3579[/C][C]3012.30539773402[/C][C]566.694602265977[/C][/ROW]
[ROW][C]31[/C][C]2915[/C][C]3370.98797282242[/C][C]-455.98797282242[/C][/ROW]
[ROW][C]32[/C][C]3025[/C][C]2820.95362219377[/C][C]204.046377806234[/C][/ROW]
[ROW][C]33[/C][C]3245[/C][C]3110.98461260965[/C][C]134.015387390345[/C][/ROW]
[ROW][C]34[/C][C]3328[/C][C]3693.86907667094[/C][C]-365.869076670939[/C][/ROW]
[ROW][C]35[/C][C]2840[/C][C]2797.60263320987[/C][C]42.3973667901309[/C][/ROW]
[ROW][C]36[/C][C]3342[/C][C]3342.70707661522[/C][C]-0.707076615220103[/C][/ROW]
[ROW][C]37[/C][C]2261[/C][C]3008.6815720774[/C][C]-747.6815720774[/C][/ROW]
[ROW][C]38[/C][C]2590[/C][C]2417.06201652568[/C][C]172.937983474323[/C][/ROW]
[ROW][C]39[/C][C]2624[/C][C]3037.78214086509[/C][C]-413.782140865086[/C][/ROW]
[ROW][C]40[/C][C]1860[/C][C]2576.61416205575[/C][C]-716.614162055753[/C][/ROW]
[ROW][C]41[/C][C]2577[/C][C]2658.57198457818[/C][C]-81.5719845781796[/C][/ROW]
[ROW][C]42[/C][C]2646[/C][C]3051.43475221528[/C][C]-405.43475221528[/C][/ROW]
[ROW][C]43[/C][C]2639[/C][C]2715.75355228176[/C][C]-76.7535522817589[/C][/ROW]
[ROW][C]44[/C][C]2807[/C][C]2468.52997731859[/C][C]338.470022681409[/C][/ROW]
[ROW][C]45[/C][C]2350[/C][C]2707.38393148892[/C][C]-357.383931488924[/C][/ROW]
[ROW][C]46[/C][C]3053[/C][C]2916.22292545947[/C][C]136.777074540528[/C][/ROW]
[ROW][C]47[/C][C]2203[/C][C]2246.6085181717[/C][C]-43.6085181717012[/C][/ROW]
[ROW][C]48[/C][C]2471[/C][C]2703.8384781316[/C][C]-232.838478131604[/C][/ROW]
[ROW][C]49[/C][C]1967[/C][C]1950.96726315521[/C][C]16.0327368447906[/C][/ROW]
[ROW][C]50[/C][C]2473[/C][C]1865.87526835649[/C][C]607.124731643514[/C][/ROW]
[ROW][C]51[/C][C]2397[/C][C]2302.83535134219[/C][C]94.1646486578115[/C][/ROW]
[ROW][C]52[/C][C]1904[/C][C]1804.27750995994[/C][C]99.7224900400583[/C][/ROW]
[ROW][C]53[/C][C]2732[/C][C]2325.64396985952[/C][C]406.356030140483[/C][/ROW]
[ROW][C]54[/C][C]2297[/C][C]2698.87607169067[/C][C]-401.87607169067[/C][/ROW]
[ROW][C]55[/C][C]2734[/C][C]2515.45707532515[/C][C]218.542924674852[/C][/ROW]
[ROW][C]56[/C][C]2719[/C][C]2524.87894291963[/C][C]194.121057080372[/C][/ROW]
[ROW][C]57[/C][C]2296[/C][C]2459.3561449865[/C][C]-163.356144986503[/C][/ROW]
[ROW][C]58[/C][C]3243[/C][C]2937.84897367118[/C][C]305.15102632882[/C][/ROW]
[ROW][C]59[/C][C]2166[/C][C]2253.90593726847[/C][C]-87.9059372684742[/C][/ROW]
[ROW][C]60[/C][C]2261[/C][C]2647.47003092667[/C][C]-386.470030926674[/C][/ROW]
[ROW][C]61[/C][C]2408[/C][C]1987.91259587642[/C][C]420.087404123581[/C][/ROW]
[ROW][C]62[/C][C]2536[/C][C]2265.94693381706[/C][C]270.053066182941[/C][/ROW]
[ROW][C]63[/C][C]2324[/C][C]2440.201556362[/C][C]-116.201556361998[/C][/ROW]
[ROW][C]64[/C][C]2178[/C][C]1917.75367202243[/C][C]260.246327977571[/C][/ROW]
[ROW][C]65[/C][C]2803[/C][C]2622.89935758939[/C][C]180.100642410607[/C][/ROW]
[ROW][C]66[/C][C]2604[/C][C]2626.45310341624[/C][C]-22.453103416241[/C][/ROW]
[ROW][C]67[/C][C]2782[/C][C]2807.76792329271[/C][C]-25.7679232927098[/C][/ROW]
[ROW][C]68[/C][C]2656[/C][C]2775.26088390749[/C][C]-119.260883907485[/C][/ROW]
[ROW][C]69[/C][C]2801[/C][C]2506.41488180487[/C][C]294.585118195129[/C][/ROW]
[ROW][C]70[/C][C]3122[/C][C]3300.11240673358[/C][C]-178.112406733581[/C][/ROW]
[ROW][C]71[/C][C]2393[/C][C]2361.72779905385[/C][C]31.2722009461527[/C][/ROW]
[ROW][C]72[/C][C]2233[/C][C]2669.5498014214[/C][C]-436.549801421397[/C][/ROW]
[ROW][C]73[/C][C]2451[/C][C]2350.53234876049[/C][C]100.467651239508[/C][/ROW]
[ROW][C]74[/C][C]2596[/C][C]2504.32919338908[/C][C]91.6708066109181[/C][/ROW]
[ROW][C]75[/C][C]2467[/C][C]2480.79384033455[/C][C]-13.7938403345483[/C][/ROW]
[ROW][C]76[/C][C]2210[/C][C]2141.34566863586[/C][C]68.6543313641432[/C][/ROW]
[ROW][C]77[/C][C]2948[/C][C]2772.06092177106[/C][C]175.939078228937[/C][/ROW]
[ROW][C]78[/C][C]2507[/C][C]2689.10327909649[/C][C]-182.103279096494[/C][/ROW]
[ROW][C]79[/C][C]3019[/C][C]2831.00562151766[/C][C]187.994378482339[/C][/ROW]
[ROW][C]80[/C][C]2401[/C][C]2804.63903554911[/C][C]-403.639035549107[/C][/ROW]
[ROW][C]81[/C][C]2818[/C][C]2643.31891340682[/C][C]174.681086593183[/C][/ROW]
[ROW][C]82[/C][C]3305[/C][C]3204.81256255617[/C][C]100.187437443825[/C][/ROW]
[ROW][C]83[/C][C]2101[/C][C]2410.00625193562[/C][C]-309.006251935622[/C][/ROW]
[ROW][C]84[/C][C]2582[/C][C]2440.00251871651[/C][C]141.997481283494[/C][/ROW]
[ROW][C]85[/C][C]2407[/C][C]2470.38119974462[/C][C]-63.3811997446182[/C][/ROW]
[ROW][C]86[/C][C]2416[/C][C]2585.41493982477[/C][C]-169.41493982477[/C][/ROW]
[ROW][C]87[/C][C]2463[/C][C]2456.07636491301[/C][C]6.92363508698645[/C][/ROW]
[ROW][C]88[/C][C]2228[/C][C]2149.11367832732[/C][C]78.8863216726777[/C][/ROW]
[ROW][C]89[/C][C]2616[/C][C]2820.76180488751[/C][C]-204.761804887512[/C][/ROW]
[ROW][C]90[/C][C]2934[/C][C]2492.86505059995[/C][C]441.134949400049[/C][/ROW]
[ROW][C]91[/C][C]2668[/C][C]2920.03590234588[/C][C]-252.035902345876[/C][/ROW]
[ROW][C]92[/C][C]2808[/C][C]2542.75912546679[/C][C]265.240874533213[/C][/ROW]
[ROW][C]93[/C][C]2664[/C][C]2768.9017085724[/C][C]-104.901708572398[/C][/ROW]
[ROW][C]94[/C][C]3112[/C][C]3238.94282011516[/C][C]-126.942820115159[/C][/ROW]
[ROW][C]95[/C][C]2321[/C][C]2218.11312692241[/C][C]102.886873077594[/C][/ROW]
[ROW][C]96[/C][C]2718[/C][C]2526.12282999301[/C][C]191.877170006992[/C][/ROW]
[ROW][C]97[/C][C]2297[/C][C]2484.82756421863[/C][C]-187.82756421863[/C][/ROW]
[ROW][C]98[/C][C]2534[/C][C]2530.320543286[/C][C]3.67945671400412[/C][/ROW]
[ROW][C]99[/C][C]2647[/C][C]2516.19399379288[/C][C]130.806006207123[/C][/ROW]
[ROW][C]100[/C][C]2064[/C][C]2273.32378046919[/C][C]-209.323780469191[/C][/ROW]
[ROW][C]101[/C][C]2642[/C][C]2766.89946730224[/C][C]-124.899467302241[/C][/ROW]
[ROW][C]102[/C][C]2702[/C][C]2729.37952166631[/C][C]-27.3795216663134[/C][/ROW]
[ROW][C]103[/C][C]2348[/C][C]2759.95452310713[/C][C]-411.954523107131[/C][/ROW]
[ROW][C]104[/C][C]2734[/C][C]2554.07908186594[/C][C]179.920918134065[/C][/ROW]
[ROW][C]105[/C][C]2709[/C][C]2593.49944748439[/C][C]115.500552515605[/C][/ROW]
[ROW][C]106[/C][C]3206[/C][C]3091.93708879312[/C][C]114.062911206878[/C][/ROW]
[ROW][C]107[/C][C]2214[/C][C]2215.02034587353[/C][C]-1.02034587353182[/C][/ROW]
[ROW][C]108[/C][C]2531[/C][C]2533.18039065146[/C][C]-2.18039065146195[/C][/ROW]
[ROW][C]109[/C][C]2119[/C][C]2282.21544228675[/C][C]-163.215442286752[/C][/ROW]
[ROW][C]110[/C][C]2369[/C][C]2403.75175845762[/C][C]-34.7517584576153[/C][/ROW]
[ROW][C]111[/C][C]2682[/C][C]2424.57497238424[/C][C]257.425027615756[/C][/ROW]
[ROW][C]112[/C][C]1840[/C][C]2058.50530065374[/C][C]-218.505300653737[/C][/ROW]
[ROW][C]113[/C][C]2622[/C][C]2578.04479056073[/C][C]43.9552094392661[/C][/ROW]
[ROW][C]114[/C][C]2570[/C][C]2613.28358267664[/C][C]-43.2835826766382[/C][/ROW]
[ROW][C]115[/C][C]2447[/C][C]2475.55138390537[/C][C]-28.5513839053651[/C][/ROW]
[ROW][C]116[/C][C]2871[/C][C]2603.1759902806[/C][C]267.824009719397[/C][/ROW]
[ROW][C]117[/C][C]2485[/C][C]2641.28699729708[/C][C]-156.286997297082[/C][/ROW]
[ROW][C]118[/C][C]2957[/C][C]3082.97793267822[/C][C]-125.977932678221[/C][/ROW]
[ROW][C]119[/C][C]2102[/C][C]2102.70044165537[/C][C]-0.700441655369104[/C][/ROW]
[ROW][C]120[/C][C]2250[/C][C]2415.62357863982[/C][C]-165.623578639825[/C][/ROW]
[ROW][C]121[/C][C]2051[/C][C]2054.25917166851[/C][C]-3.25917166850741[/C][/ROW]
[ROW][C]122[/C][C]2260[/C][C]2258.24561168398[/C][C]1.75438831601514[/C][/ROW]
[ROW][C]123[/C][C]2327[/C][C]2405.07976185932[/C][C]-78.0797618593224[/C][/ROW]
[ROW][C]124[/C][C]1781[/C][C]1757.34397363778[/C][C]23.6560263622237[/C][/ROW]
[ROW][C]125[/C][C]2631[/C][C]2431.36033905788[/C][C]199.639660942117[/C][/ROW]
[ROW][C]126[/C][C]2180[/C][C]2460.12495066945[/C][C]-280.124950669453[/C][/ROW]
[ROW][C]127[/C][C]2150[/C][C]2270.75421977671[/C][C]-120.754219776714[/C][/ROW]
[ROW][C]128[/C][C]2837[/C][C]2492.87307387333[/C][C]344.126926126673[/C][/ROW]
[ROW][C]129[/C][C]1976[/C][C]2360.78549482861[/C][C]-384.785494828614[/C][/ROW]
[ROW][C]130[/C][C]2836[/C][C]2753.34724636927[/C][C]82.6527536307312[/C][/ROW]
[ROW][C]131[/C][C]2203[/C][C]1860.29104196146[/C][C]342.708958038536[/C][/ROW]
[ROW][C]132[/C][C]1770[/C][C]2175.22437154089[/C][C]-405.224371540889[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267087&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267087&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
1324932396.2123397435996.7876602564102
1421362060.8547829907475.1452170092625
1524672395.8574096799771.1425903200288
1624142343.4490510348270.5509489651831
1725562504.9558758141851.0441241858198
1827682732.5354376494535.464562350553
1929982994.560261997773.43973800222648
2025732541.0354434980631.9645565019391
2130052680.53662970329324.463370296707
2234693439.4732962016629.5267037983385
2325402747.14696703211-207.146967032113
2431873156.3147978773430.6852021226623
2526892980.65600377589-291.656003775887
2621542560.09224174796-406.092241747961
2730652786.47176719435278.528232805653
2823972776.13345357106-379.133453571059
2927872823.42191290614-36.4219129061444
3035793012.30539773402566.694602265977
3129153370.98797282242-455.98797282242
3230252820.95362219377204.046377806234
3332453110.98461260965134.015387390345
3433283693.86907667094-365.869076670939
3528402797.6026332098742.3973667901309
3633423342.70707661522-0.707076615220103
3722613008.6815720774-747.6815720774
3825902417.06201652568172.937983474323
3926243037.78214086509-413.782140865086
4018602576.61416205575-716.614162055753
4125772658.57198457818-81.5719845781796
4226463051.43475221528-405.43475221528
4326392715.75355228176-76.7535522817589
4428072468.52997731859338.470022681409
4523502707.38393148892-357.383931488924
4630532916.22292545947136.777074540528
4722032246.6085181717-43.6085181717012
4824712703.8384781316-232.838478131604
4919671950.9672631552116.0327368447906
5024731865.87526835649607.124731643514
5123972302.8353513421994.1646486578115
5219041804.2775099599499.7224900400583
5327322325.64396985952406.356030140483
5422972698.87607169067-401.87607169067
5527342515.45707532515218.542924674852
5627192524.87894291963194.121057080372
5722962459.3561449865-163.356144986503
5832432937.84897367118305.15102632882
5921662253.90593726847-87.9059372684742
6022612647.47003092667-386.470030926674
6124081987.91259587642420.087404123581
6225362265.94693381706270.053066182941
6323242440.201556362-116.201556361998
6421781917.75367202243260.246327977571
6528032622.89935758939180.100642410607
6626042626.45310341624-22.453103416241
6727822807.76792329271-25.7679232927098
6826562775.26088390749-119.260883907485
6928012506.41488180487294.585118195129
7031223300.11240673358-178.112406733581
7123932361.7277990538531.2722009461527
7222332669.5498014214-436.549801421397
7324512350.53234876049100.467651239508
7425962504.3291933890891.6708066109181
7524672480.79384033455-13.7938403345483
7622102141.3456686358668.6543313641432
7729482772.06092177106175.939078228937
7825072689.10327909649-182.103279096494
7930192831.00562151766187.994378482339
8024012804.63903554911-403.639035549107
8128182643.31891340682174.681086593183
8233053204.81256255617100.187437443825
8321012410.00625193562-309.006251935622
8425822440.00251871651141.997481283494
8524072470.38119974462-63.3811997446182
8624162585.41493982477-169.41493982477
8724632456.076364913016.92363508698645
8822282149.1136783273278.8863216726777
8926162820.76180488751-204.761804887512
9029342492.86505059995441.134949400049
9126682920.03590234588-252.035902345876
9228082542.75912546679265.240874533213
9326642768.9017085724-104.901708572398
9431123238.94282011516-126.942820115159
9523212218.11312692241102.886873077594
9627182526.12282999301191.877170006992
9722972484.82756421863-187.82756421863
9825342530.3205432863.67945671400412
9926472516.19399379288130.806006207123
10020642273.32378046919-209.323780469191
10126422766.89946730224-124.899467302241
10227022729.37952166631-27.3795216663134
10323482759.95452310713-411.954523107131
10427342554.07908186594179.920918134065
10527092593.49944748439115.500552515605
10632063091.93708879312114.062911206878
10722142215.02034587353-1.02034587353182
10825312533.18039065146-2.18039065146195
10921192282.21544228675-163.215442286752
11023692403.75175845762-34.7517584576153
11126822424.57497238424257.425027615756
11218402058.50530065374-218.505300653737
11326222578.0447905607343.9552094392661
11425702613.28358267664-43.2835826766382
11524472475.55138390537-28.5513839053651
11628712603.1759902806267.824009719397
11724852641.28699729708-156.286997297082
11829573082.97793267822-125.977932678221
11921022102.70044165537-0.700441655369104
12022502415.62357863982-165.623578639825
12120512054.25917166851-3.25917166850741
12222602258.245611683981.75438831601514
12323272405.07976185932-78.0797618593224
12417811757.3439736377823.6560263622237
12526312431.36033905788199.639660942117
12621802460.12495066945-280.124950669453
12721502270.75421977671-120.754219776714
12828372492.87307387333344.126926126673
12919762360.78549482861-384.785494828614
13028362753.3472463692782.6527536307312
13122031860.29104196146342.708958038536
13217702175.22437154089-405.224371540889







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
1331825.092858638781345.366161740932304.81955553664
1342025.389318213791532.786371485692517.99226494189
1352131.897250788691624.119651711882639.67484986549
1361538.476438666141013.181188556132063.77168877615
1372276.023826979731730.858891211082821.18876274838
1382052.013634737781484.64838429562619.37888517996
1391984.801882418431392.951584187692576.65218064917
1402426.497598131591807.941807126643045.05338913654
1411908.31062074991260.905866601642555.71537489816
1422577.834605259951899.522112440853256.14709807906
1431774.916011869991063.725356474072486.10666726592
1441695.12198348135949.1716084613762441.07235850133

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
133 & 1825.09285863878 & 1345.36616174093 & 2304.81955553664 \tabularnewline
134 & 2025.38931821379 & 1532.78637148569 & 2517.99226494189 \tabularnewline
135 & 2131.89725078869 & 1624.11965171188 & 2639.67484986549 \tabularnewline
136 & 1538.47643866614 & 1013.18118855613 & 2063.77168877615 \tabularnewline
137 & 2276.02382697973 & 1730.85889121108 & 2821.18876274838 \tabularnewline
138 & 2052.01363473778 & 1484.6483842956 & 2619.37888517996 \tabularnewline
139 & 1984.80188241843 & 1392.95158418769 & 2576.65218064917 \tabularnewline
140 & 2426.49759813159 & 1807.94180712664 & 3045.05338913654 \tabularnewline
141 & 1908.3106207499 & 1260.90586660164 & 2555.71537489816 \tabularnewline
142 & 2577.83460525995 & 1899.52211244085 & 3256.14709807906 \tabularnewline
143 & 1774.91601186999 & 1063.72535647407 & 2486.10666726592 \tabularnewline
144 & 1695.12198348135 & 949.171608461376 & 2441.07235850133 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267087&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]1825.09285863878[/C][C]1345.36616174093[/C][C]2304.81955553664[/C][/ROW]
[ROW][C]134[/C][C]2025.38931821379[/C][C]1532.78637148569[/C][C]2517.99226494189[/C][/ROW]
[ROW][C]135[/C][C]2131.89725078869[/C][C]1624.11965171188[/C][C]2639.67484986549[/C][/ROW]
[ROW][C]136[/C][C]1538.47643866614[/C][C]1013.18118855613[/C][C]2063.77168877615[/C][/ROW]
[ROW][C]137[/C][C]2276.02382697973[/C][C]1730.85889121108[/C][C]2821.18876274838[/C][/ROW]
[ROW][C]138[/C][C]2052.01363473778[/C][C]1484.6483842956[/C][C]2619.37888517996[/C][/ROW]
[ROW][C]139[/C][C]1984.80188241843[/C][C]1392.95158418769[/C][C]2576.65218064917[/C][/ROW]
[ROW][C]140[/C][C]2426.49759813159[/C][C]1807.94180712664[/C][C]3045.05338913654[/C][/ROW]
[ROW][C]141[/C][C]1908.3106207499[/C][C]1260.90586660164[/C][C]2555.71537489816[/C][/ROW]
[ROW][C]142[/C][C]2577.83460525995[/C][C]1899.52211244085[/C][C]3256.14709807906[/C][/ROW]
[ROW][C]143[/C][C]1774.91601186999[/C][C]1063.72535647407[/C][C]2486.10666726592[/C][/ROW]
[ROW][C]144[/C][C]1695.12198348135[/C][C]949.171608461376[/C][C]2441.07235850133[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267087&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267087&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
1331825.092858638781345.366161740932304.81955553664
1342025.389318213791532.786371485692517.99226494189
1352131.897250788691624.119651711882639.67484986549
1361538.476438666141013.181188556132063.77168877615
1372276.023826979731730.858891211082821.18876274838
1382052.013634737781484.64838429562619.37888517996
1391984.801882418431392.951584187692576.65218064917
1402426.497598131591807.941807126643045.05338913654
1411908.31062074991260.905866601642555.71537489816
1422577.834605259951899.522112440853256.14709807906
1431774.916011869991063.725356474072486.10666726592
1441695.12198348135949.1716084613762441.07235850133



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
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')