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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 computationFri, 11 Dec 2015 16:56:40 +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/2015/Dec/11/t1449855924c5a4zxu2r1tw02l.htm/, Retrieved Thu, 16 May 2024 18:41:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286002, Retrieved Thu, 16 May 2024 18:41:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Exponential Smoothing] [] [2015-12-11 16:56:40] [5fd2fca6b664199b2dd86155c5786748] [Current]
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Dataseries X:
2132
1964
2209
1965
2631
2583
2714
2248
2364
3042
2316
2735
2493
2136
2467
2414
2556
2768
2998
2573
3005
3469
2540
3187
2689
2154
3065
2397
2787
3579
2915
3025
3245
3328
2840
3342
2261
2590
2624
1860
2577
2646
2639
2807
2350
3053
2203
2471
1967
2473
2397
1904
2732
2297
2734
2719
2296
3243
2166
2261
2408
2536
2324
2178
2803
2604
2782
2656
2801
3122
2393
2233
2451
2596
2467
2210
2948
2507
3019
2401
2818
3305
2101
2582
2407
2416
2463
2228
2616
2934
2668
2808
2664
3112
2321
2718
2297
2534
2647
2064
2642
2702
2348
2734
2709
3206
2214
2531
2119
2369
2682
1840
2622
2570
2447
2871
2485
2957
2102
2250
2051
2260
2327
1781
2631
2180
2150
2837
1976
2836
2203
1770




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286002&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 Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286002&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286002&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 Ronald Aylmer Fisher' @ fisher.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=286002&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=286002&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286002&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=286002&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=286002&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286002&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=286002&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=286002&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286002&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')