Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationSat, 26 Nov 2016 10:43:51 +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/2016/Nov/26/t1480157052nb3adgksqbgwqgp.htm/, Retrieved Fri, 03 May 2024 18:27:16 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 03 May 2024 18:27:16 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
2322
2347
2963
1900
2723
2555
2176
2444
1944
2089
1978
2081
2435
2246
2641
1966
2398
2334
2333
2421
1531
2215
1927
1698
2482
1974
2369
2097
2264
1938
2360
2176
1478
2158
1690
1886
2450
1811
2196
1997
2199
1970
2239
1937
1311
2149
1673
2378
2770
1764
2310
1971
1899
2554
1948
2138
1469
2059
1771
1761




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.132986784877785
beta0.126815336556063
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.132986784877785 \tabularnewline
beta & 0.126815336556063 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]0.132986784877785[/C][/ROW]
[ROW][C]beta[/C][C]0.126815336556063[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
alpha0.132986784877785
beta0.126815336556063
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
329632372591
419002485.56226531691-585.562265316905
527232432.78192841814290.21807158186
625552501.3632620341853.6367379658204
721762539.38697565171-363.386975651707
824442515.82361083536-71.8236108353622
919442529.82303225622-585.823032256217
1020892465.58755607776-376.587556077758
1119782422.82657294457-444.826572944574
1220812363.488807234-282.488807233998
1324352320.97571201627114.024287983734
1422462333.11661118711-87.1166111871134
1526412317.03922779195323.960772208049
1619662361.09322588073-395.093225880734
1723982302.859390644495.1406093555988
1823342311.4247009068122.5752990931946
1923332310.7205109525222.2794890474793
2024212310.35272049351110.647279506486
2115312323.60271861744-792.602718617444
2222152203.3653458484611.6346541515368
2319272190.2771312577-263.277131257697
2416982136.18917554621-438.189175546211
2524822051.45027244725430.549727552746
2619742089.50328246422-115.503282464224
2723692052.99052271987316.009477280129
2820972079.1926827463917.8073172536056
2922642066.03821246823197.96178753177
3019382080.18048477806-142.180484778059
3123602046.690489588313.309510412
3221762079.0585353172896.9414646827199
3314782084.28738520696-606.287385206963
3421581985.77119772049172.228802279506
3516901993.69197306725-303.691973067248
3618861933.19988122552-47.1998812255215
3724501906.02183317229543.978166827713
3818111966.63671636037-155.636716360373
3921961931.58728910787264.412710892126
4019971956.8581426119840.1418573880221
4121991952.9809193134246.0190806866
4219701980.63169972706-10.6316997270592
4322391973.97201691157265.027983088427
4419372008.441063391-71.4410633909995
4513111996.95933650268-685.95933650268
4621491892.18625798197256.813742018033
4716731917.12064316379-244.120643163786
4823781871.32033801992506.679661980081
4927701933.91158440539836.088415594609
5017642054.41027555796-290.410275557956
5123102020.20182687898289.79817312102
5219712068.04081211181-97.0408121118066
5318992062.79875404997-163.798754049973
5425542045.91634461354508.083655386459
5519482126.95412750429-178.954127504287
5621382113.606945452824.3930545472003
5714692127.71363446159-658.713634461591
5820592039.8671112596919.1328887403117
5917712042.48788946997-271.487889469973
6017612001.88136561472-240.881365614716

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 2963 & 2372 & 591 \tabularnewline
4 & 1900 & 2485.56226531691 & -585.562265316905 \tabularnewline
5 & 2723 & 2432.78192841814 & 290.21807158186 \tabularnewline
6 & 2555 & 2501.36326203418 & 53.6367379658204 \tabularnewline
7 & 2176 & 2539.38697565171 & -363.386975651707 \tabularnewline
8 & 2444 & 2515.82361083536 & -71.8236108353622 \tabularnewline
9 & 1944 & 2529.82303225622 & -585.823032256217 \tabularnewline
10 & 2089 & 2465.58755607776 & -376.587556077758 \tabularnewline
11 & 1978 & 2422.82657294457 & -444.826572944574 \tabularnewline
12 & 2081 & 2363.488807234 & -282.488807233998 \tabularnewline
13 & 2435 & 2320.97571201627 & 114.024287983734 \tabularnewline
14 & 2246 & 2333.11661118711 & -87.1166111871134 \tabularnewline
15 & 2641 & 2317.03922779195 & 323.960772208049 \tabularnewline
16 & 1966 & 2361.09322588073 & -395.093225880734 \tabularnewline
17 & 2398 & 2302.8593906444 & 95.1406093555988 \tabularnewline
18 & 2334 & 2311.42470090681 & 22.5752990931946 \tabularnewline
19 & 2333 & 2310.72051095252 & 22.2794890474793 \tabularnewline
20 & 2421 & 2310.35272049351 & 110.647279506486 \tabularnewline
21 & 1531 & 2323.60271861744 & -792.602718617444 \tabularnewline
22 & 2215 & 2203.36534584846 & 11.6346541515368 \tabularnewline
23 & 1927 & 2190.2771312577 & -263.277131257697 \tabularnewline
24 & 1698 & 2136.18917554621 & -438.189175546211 \tabularnewline
25 & 2482 & 2051.45027244725 & 430.549727552746 \tabularnewline
26 & 1974 & 2089.50328246422 & -115.503282464224 \tabularnewline
27 & 2369 & 2052.99052271987 & 316.009477280129 \tabularnewline
28 & 2097 & 2079.19268274639 & 17.8073172536056 \tabularnewline
29 & 2264 & 2066.03821246823 & 197.96178753177 \tabularnewline
30 & 1938 & 2080.18048477806 & -142.180484778059 \tabularnewline
31 & 2360 & 2046.690489588 & 313.309510412 \tabularnewline
32 & 2176 & 2079.05853531728 & 96.9414646827199 \tabularnewline
33 & 1478 & 2084.28738520696 & -606.287385206963 \tabularnewline
34 & 2158 & 1985.77119772049 & 172.228802279506 \tabularnewline
35 & 1690 & 1993.69197306725 & -303.691973067248 \tabularnewline
36 & 1886 & 1933.19988122552 & -47.1998812255215 \tabularnewline
37 & 2450 & 1906.02183317229 & 543.978166827713 \tabularnewline
38 & 1811 & 1966.63671636037 & -155.636716360373 \tabularnewline
39 & 2196 & 1931.58728910787 & 264.412710892126 \tabularnewline
40 & 1997 & 1956.85814261198 & 40.1418573880221 \tabularnewline
41 & 2199 & 1952.9809193134 & 246.0190806866 \tabularnewline
42 & 1970 & 1980.63169972706 & -10.6316997270592 \tabularnewline
43 & 2239 & 1973.97201691157 & 265.027983088427 \tabularnewline
44 & 1937 & 2008.441063391 & -71.4410633909995 \tabularnewline
45 & 1311 & 1996.95933650268 & -685.95933650268 \tabularnewline
46 & 2149 & 1892.18625798197 & 256.813742018033 \tabularnewline
47 & 1673 & 1917.12064316379 & -244.120643163786 \tabularnewline
48 & 2378 & 1871.32033801992 & 506.679661980081 \tabularnewline
49 & 2770 & 1933.91158440539 & 836.088415594609 \tabularnewline
50 & 1764 & 2054.41027555796 & -290.410275557956 \tabularnewline
51 & 2310 & 2020.20182687898 & 289.79817312102 \tabularnewline
52 & 1971 & 2068.04081211181 & -97.0408121118066 \tabularnewline
53 & 1899 & 2062.79875404997 & -163.798754049973 \tabularnewline
54 & 2554 & 2045.91634461354 & 508.083655386459 \tabularnewline
55 & 1948 & 2126.95412750429 & -178.954127504287 \tabularnewline
56 & 2138 & 2113.6069454528 & 24.3930545472003 \tabularnewline
57 & 1469 & 2127.71363446159 & -658.713634461591 \tabularnewline
58 & 2059 & 2039.86711125969 & 19.1328887403117 \tabularnewline
59 & 1771 & 2042.48788946997 & -271.487889469973 \tabularnewline
60 & 1761 & 2001.88136561472 & -240.881365614716 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]3[/C][C]2963[/C][C]2372[/C][C]591[/C][/ROW]
[ROW][C]4[/C][C]1900[/C][C]2485.56226531691[/C][C]-585.562265316905[/C][/ROW]
[ROW][C]5[/C][C]2723[/C][C]2432.78192841814[/C][C]290.21807158186[/C][/ROW]
[ROW][C]6[/C][C]2555[/C][C]2501.36326203418[/C][C]53.6367379658204[/C][/ROW]
[ROW][C]7[/C][C]2176[/C][C]2539.38697565171[/C][C]-363.386975651707[/C][/ROW]
[ROW][C]8[/C][C]2444[/C][C]2515.82361083536[/C][C]-71.8236108353622[/C][/ROW]
[ROW][C]9[/C][C]1944[/C][C]2529.82303225622[/C][C]-585.823032256217[/C][/ROW]
[ROW][C]10[/C][C]2089[/C][C]2465.58755607776[/C][C]-376.587556077758[/C][/ROW]
[ROW][C]11[/C][C]1978[/C][C]2422.82657294457[/C][C]-444.826572944574[/C][/ROW]
[ROW][C]12[/C][C]2081[/C][C]2363.488807234[/C][C]-282.488807233998[/C][/ROW]
[ROW][C]13[/C][C]2435[/C][C]2320.97571201627[/C][C]114.024287983734[/C][/ROW]
[ROW][C]14[/C][C]2246[/C][C]2333.11661118711[/C][C]-87.1166111871134[/C][/ROW]
[ROW][C]15[/C][C]2641[/C][C]2317.03922779195[/C][C]323.960772208049[/C][/ROW]
[ROW][C]16[/C][C]1966[/C][C]2361.09322588073[/C][C]-395.093225880734[/C][/ROW]
[ROW][C]17[/C][C]2398[/C][C]2302.8593906444[/C][C]95.1406093555988[/C][/ROW]
[ROW][C]18[/C][C]2334[/C][C]2311.42470090681[/C][C]22.5752990931946[/C][/ROW]
[ROW][C]19[/C][C]2333[/C][C]2310.72051095252[/C][C]22.2794890474793[/C][/ROW]
[ROW][C]20[/C][C]2421[/C][C]2310.35272049351[/C][C]110.647279506486[/C][/ROW]
[ROW][C]21[/C][C]1531[/C][C]2323.60271861744[/C][C]-792.602718617444[/C][/ROW]
[ROW][C]22[/C][C]2215[/C][C]2203.36534584846[/C][C]11.6346541515368[/C][/ROW]
[ROW][C]23[/C][C]1927[/C][C]2190.2771312577[/C][C]-263.277131257697[/C][/ROW]
[ROW][C]24[/C][C]1698[/C][C]2136.18917554621[/C][C]-438.189175546211[/C][/ROW]
[ROW][C]25[/C][C]2482[/C][C]2051.45027244725[/C][C]430.549727552746[/C][/ROW]
[ROW][C]26[/C][C]1974[/C][C]2089.50328246422[/C][C]-115.503282464224[/C][/ROW]
[ROW][C]27[/C][C]2369[/C][C]2052.99052271987[/C][C]316.009477280129[/C][/ROW]
[ROW][C]28[/C][C]2097[/C][C]2079.19268274639[/C][C]17.8073172536056[/C][/ROW]
[ROW][C]29[/C][C]2264[/C][C]2066.03821246823[/C][C]197.96178753177[/C][/ROW]
[ROW][C]30[/C][C]1938[/C][C]2080.18048477806[/C][C]-142.180484778059[/C][/ROW]
[ROW][C]31[/C][C]2360[/C][C]2046.690489588[/C][C]313.309510412[/C][/ROW]
[ROW][C]32[/C][C]2176[/C][C]2079.05853531728[/C][C]96.9414646827199[/C][/ROW]
[ROW][C]33[/C][C]1478[/C][C]2084.28738520696[/C][C]-606.287385206963[/C][/ROW]
[ROW][C]34[/C][C]2158[/C][C]1985.77119772049[/C][C]172.228802279506[/C][/ROW]
[ROW][C]35[/C][C]1690[/C][C]1993.69197306725[/C][C]-303.691973067248[/C][/ROW]
[ROW][C]36[/C][C]1886[/C][C]1933.19988122552[/C][C]-47.1998812255215[/C][/ROW]
[ROW][C]37[/C][C]2450[/C][C]1906.02183317229[/C][C]543.978166827713[/C][/ROW]
[ROW][C]38[/C][C]1811[/C][C]1966.63671636037[/C][C]-155.636716360373[/C][/ROW]
[ROW][C]39[/C][C]2196[/C][C]1931.58728910787[/C][C]264.412710892126[/C][/ROW]
[ROW][C]40[/C][C]1997[/C][C]1956.85814261198[/C][C]40.1418573880221[/C][/ROW]
[ROW][C]41[/C][C]2199[/C][C]1952.9809193134[/C][C]246.0190806866[/C][/ROW]
[ROW][C]42[/C][C]1970[/C][C]1980.63169972706[/C][C]-10.6316997270592[/C][/ROW]
[ROW][C]43[/C][C]2239[/C][C]1973.97201691157[/C][C]265.027983088427[/C][/ROW]
[ROW][C]44[/C][C]1937[/C][C]2008.441063391[/C][C]-71.4410633909995[/C][/ROW]
[ROW][C]45[/C][C]1311[/C][C]1996.95933650268[/C][C]-685.95933650268[/C][/ROW]
[ROW][C]46[/C][C]2149[/C][C]1892.18625798197[/C][C]256.813742018033[/C][/ROW]
[ROW][C]47[/C][C]1673[/C][C]1917.12064316379[/C][C]-244.120643163786[/C][/ROW]
[ROW][C]48[/C][C]2378[/C][C]1871.32033801992[/C][C]506.679661980081[/C][/ROW]
[ROW][C]49[/C][C]2770[/C][C]1933.91158440539[/C][C]836.088415594609[/C][/ROW]
[ROW][C]50[/C][C]1764[/C][C]2054.41027555796[/C][C]-290.410275557956[/C][/ROW]
[ROW][C]51[/C][C]2310[/C][C]2020.20182687898[/C][C]289.79817312102[/C][/ROW]
[ROW][C]52[/C][C]1971[/C][C]2068.04081211181[/C][C]-97.0408121118066[/C][/ROW]
[ROW][C]53[/C][C]1899[/C][C]2062.79875404997[/C][C]-163.798754049973[/C][/ROW]
[ROW][C]54[/C][C]2554[/C][C]2045.91634461354[/C][C]508.083655386459[/C][/ROW]
[ROW][C]55[/C][C]1948[/C][C]2126.95412750429[/C][C]-178.954127504287[/C][/ROW]
[ROW][C]56[/C][C]2138[/C][C]2113.6069454528[/C][C]24.3930545472003[/C][/ROW]
[ROW][C]57[/C][C]1469[/C][C]2127.71363446159[/C][C]-658.713634461591[/C][/ROW]
[ROW][C]58[/C][C]2059[/C][C]2039.86711125969[/C][C]19.1328887403117[/C][/ROW]
[ROW][C]59[/C][C]1771[/C][C]2042.48788946997[/C][C]-271.487889469973[/C][/ROW]
[ROW][C]60[/C][C]1761[/C][C]2001.88136561472[/C][C]-240.881365614716[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
329632372591
419002485.56226531691-585.562265316905
527232432.78192841814290.21807158186
625552501.3632620341853.6367379658204
721762539.38697565171-363.386975651707
824442515.82361083536-71.8236108353622
919442529.82303225622-585.823032256217
1020892465.58755607776-376.587556077758
1119782422.82657294457-444.826572944574
1220812363.488807234-282.488807233998
1324352320.97571201627114.024287983734
1422462333.11661118711-87.1166111871134
1526412317.03922779195323.960772208049
1619662361.09322588073-395.093225880734
1723982302.859390644495.1406093555988
1823342311.4247009068122.5752990931946
1923332310.7205109525222.2794890474793
2024212310.35272049351110.647279506486
2115312323.60271861744-792.602718617444
2222152203.3653458484611.6346541515368
2319272190.2771312577-263.277131257697
2416982136.18917554621-438.189175546211
2524822051.45027244725430.549727552746
2619742089.50328246422-115.503282464224
2723692052.99052271987316.009477280129
2820972079.1926827463917.8073172536056
2922642066.03821246823197.96178753177
3019382080.18048477806-142.180484778059
3123602046.690489588313.309510412
3221762079.0585353172896.9414646827199
3314782084.28738520696-606.287385206963
3421581985.77119772049172.228802279506
3516901993.69197306725-303.691973067248
3618861933.19988122552-47.1998812255215
3724501906.02183317229543.978166827713
3818111966.63671636037-155.636716360373
3921961931.58728910787264.412710892126
4019971956.8581426119840.1418573880221
4121991952.9809193134246.0190806866
4219701980.63169972706-10.6316997270592
4322391973.97201691157265.027983088427
4419372008.441063391-71.4410633909995
4513111996.95933650268-685.95933650268
4621491892.18625798197256.813742018033
4716731917.12064316379-244.120643163786
4823781871.32033801992506.679661980081
4927701933.91158440539836.088415594609
5017642054.41027555796-290.410275557956
5123102020.20182687898289.79817312102
5219712068.04081211181-97.0408121118066
5318992062.79875404997-163.798754049973
5425542045.91634461354508.083655386459
5519482126.95412750429-178.954127504287
5621382113.606945452824.3930545472003
5714692127.71363446159-658.713634461591
5820592039.8671112596919.1328887403117
5917712042.48788946997-271.487889469973
6017612001.88136561472-240.881365614716







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
611961.282697608641279.217741925022643.34765329226
621952.718067952641263.0375772962642.39855860927
631944.153438296631245.16169921072643.14517738257
641935.588808640631225.47047208972645.70714519156
651927.024178984631203.864713334762650.18364463449
661918.459549328621180.266643883192656.65245477406
671909.894919672621154.620040996692665.16979834855
681901.330290016621126.889604963142675.7709750701
691892.765660360611097.059625224772688.47169549646
701884.201030704611065.13208782152703.26997358772
711875.636401048611031.124398186372720.14840391084
721867.0717713926995.0669001447432739.07664264046

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
61 & 1961.28269760864 & 1279.21774192502 & 2643.34765329226 \tabularnewline
62 & 1952.71806795264 & 1263.037577296 & 2642.39855860927 \tabularnewline
63 & 1944.15343829663 & 1245.1616992107 & 2643.14517738257 \tabularnewline
64 & 1935.58880864063 & 1225.4704720897 & 2645.70714519156 \tabularnewline
65 & 1927.02417898463 & 1203.86471333476 & 2650.18364463449 \tabularnewline
66 & 1918.45954932862 & 1180.26664388319 & 2656.65245477406 \tabularnewline
67 & 1909.89491967262 & 1154.62004099669 & 2665.16979834855 \tabularnewline
68 & 1901.33029001662 & 1126.88960496314 & 2675.7709750701 \tabularnewline
69 & 1892.76566036061 & 1097.05962522477 & 2688.47169549646 \tabularnewline
70 & 1884.20103070461 & 1065.1320878215 & 2703.26997358772 \tabularnewline
71 & 1875.63640104861 & 1031.12439818637 & 2720.14840391084 \tabularnewline
72 & 1867.0717713926 & 995.066900144743 & 2739.07664264046 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]61[/C][C]1961.28269760864[/C][C]1279.21774192502[/C][C]2643.34765329226[/C][/ROW]
[ROW][C]62[/C][C]1952.71806795264[/C][C]1263.037577296[/C][C]2642.39855860927[/C][/ROW]
[ROW][C]63[/C][C]1944.15343829663[/C][C]1245.1616992107[/C][C]2643.14517738257[/C][/ROW]
[ROW][C]64[/C][C]1935.58880864063[/C][C]1225.4704720897[/C][C]2645.70714519156[/C][/ROW]
[ROW][C]65[/C][C]1927.02417898463[/C][C]1203.86471333476[/C][C]2650.18364463449[/C][/ROW]
[ROW][C]66[/C][C]1918.45954932862[/C][C]1180.26664388319[/C][C]2656.65245477406[/C][/ROW]
[ROW][C]67[/C][C]1909.89491967262[/C][C]1154.62004099669[/C][C]2665.16979834855[/C][/ROW]
[ROW][C]68[/C][C]1901.33029001662[/C][C]1126.88960496314[/C][C]2675.7709750701[/C][/ROW]
[ROW][C]69[/C][C]1892.76566036061[/C][C]1097.05962522477[/C][C]2688.47169549646[/C][/ROW]
[ROW][C]70[/C][C]1884.20103070461[/C][C]1065.1320878215[/C][C]2703.26997358772[/C][/ROW]
[ROW][C]71[/C][C]1875.63640104861[/C][C]1031.12439818637[/C][C]2720.14840391084[/C][/ROW]
[ROW][C]72[/C][C]1867.0717713926[/C][C]995.066900144743[/C][C]2739.07664264046[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
611961.282697608641279.217741925022643.34765329226
621952.718067952641263.0375772962642.39855860927
631944.153438296631245.16169921072643.14517738257
641935.588808640631225.47047208972645.70714519156
651927.024178984631203.864713334762650.18364463449
661918.459549328621180.266643883192656.65245477406
671909.894919672621154.620040996692665.16979834855
681901.330290016621126.889604963142675.7709750701
691892.765660360611097.059625224772688.47169549646
701884.201030704611065.13208782152703.26997358772
711875.636401048611031.124398186372720.14840391084
721867.0717713926995.0669001447432739.07664264046



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