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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_boxcoxnorm.wasp
Title produced by softwareBox-Cox Normality Plot
Date of computationTue, 11 Nov 2014 23:22:48 +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/Nov/11/t1415748211gc7lwl9clcv1aq3.htm/, Retrieved Sun, 12 May 2024 11:28:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=253745, Retrieved Sun, 12 May 2024 11:28:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [] [2013-11-04 07:18:26] [0307e7a6407eb638caabc417e3a6b260]
- RMPD    [Box-Cox Normality Plot] [WS7 III] [2014-11-11 23:22:48] [7ba19d107fbc5e986bea1d115fcbe5dd] [Current]
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Dataseries X:
-2.11377
1.62659
-1.24809
-3.02809
9.48726
1.9426
8.40414
-1.58916
-2.28244
0.851045
-0.360797
-2.3704
-0.986595
1.53982
0.812351
0.082788
1.11946
1.50256
-3.14541
0.545672
-1.06176
-1.42175
-1.56273
-1.26661
1.19856
-6.73545
-0.333925
1.75566
2.03471
-2.62398
-2.28299
-0.382925
-1.01934
-0.624919
-0.0244947
-4.34509
2.1962
-0.436158
-0.825006
-3.87832
-3.10309
2.43302
-3.98882
-1.71861
-1.49985
-2.69772
-3.72161
-1.25563
4.2709
-2.56223
-1.60474
0.465273
1.96112
-0.969953
-4.77282
2.20375
1.71293
-3.71927
-4.38384
0.459231
1.10493
-1.28626
-2.62707
-0.415303
-0.260549
-4.25689
1.834
-2.28382
-0.0121782
1.56911
-0.788538
2.09814
1.42428
-2.12916
-1.97728
5.24104
2.14003
3.12924
0.56089
-5.5563
-0.93046
-3.31904
0.509069
-0.45635
0.228635
0.731929
-1.18701
0.145049
3.80745
1.65512
0.543997
0.988396
2.46021
-1.15405
-0.018439
1.54144
-1.676
0.749892
-2.36223
-0.458006
1.71229
1.64389
-4.5951
4.02201
2.17768
-0.126093
3.86451
-1.80596
6.46585
2.32036
-0.047381
-1.85524
-0.240378
1.77236
-0.463133
-0.21987
-0.592045
-4.48776
3.13808
-0.76342
1.21427
-0.494876
-3.92769
-1.19471
-2.31862
-1.80878
-0.38355
1.85838
0.382216
-2.86527
2.37688
-1.92453
1.74833
-0.270601
3.04365
6.41317
0.387799
-0.764125
-2.15154
-2.49602
-3.45325
2.78629
-0.173696
-0.0432014
-0.0344116
0.848073
-3.00692
-3.28598
2.21334
0.593313
3.87359
-2.72697
-2.56981
2.13703
3.9858
0.543997
0.333075
1.85838
-4.03888
3.70604
1.7475
7.33833
1.0124
9.2764
1.99121
5.93146
-0.980061
-0.942786
-0.279144
1.26126
3.50741
0.481168
-4.39316
1.7181
1.18809
-4.55051
-1.12299
2.88395
-2.15201
-1.33349
-2.94118
-5.52027
-1.1531
-2.48216
-0.678616
5.44613
1.25409
0.261203
-1.43738
4.55404
-4.27998
-2.72896
1.90415
0.305804
1.3531
-2.53925
6.34699
2.79858
0.902978
-0.667428
0.185587
-0.975019
-0.188145
-1.04664
-1.50271
0.707313
-0.273833
2.33671
-0.234915
0.972595
-0.339769
-0.0886144
3.50203
-2.75269
1.62594
-0.0318217
0.897482
-0.437463
3.81627
2.22594
-3.12392
-0.459963
1.06037
-3.79536
2.19481
-2.17932
0.247934
-3.20275
4.89235
-2.67488
-1.43997
-1.47114
-4.28241
3.771
-2.86969
-1.64354
1.71396
-2.08022
-4.97526
-3.66011
-4.19274
0.326123
-0.119846
0.869543
2.26227
4.07807
0.748261
7.91382
2.40876
-0.236992
0.936757
2.95233
-3.20266
-0.795812
2.06391
0.113795
4.63661
0.529048
2.25051
-8.46241
-1.75167
-0.972249
3.08095
-1.3944




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=253745&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]3 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=253745&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=253745&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Box-Cox Normality Plot
# observations x264
maximum correlation0.0463012988514066
optimal lambda1.7

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 264 \tabularnewline
maximum correlation & 0.0463012988514066 \tabularnewline
optimal lambda & 1.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=253745&T=1

[TABLE]
[ROW][C]Box-Cox Normality Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]264[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.0463012988514066[/C][/ROW]
[ROW][C]optimal lambda[/C][C]1.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=253745&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=253745&T=1

As an alternative you can also use a QR Code:  

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

Box-Cox Normality Plot
# observations x264
maximum correlation0.0463012988514066
optimal lambda1.7







Obs.OriginalTransformed
117.8862378.6314399003843
221.62659108.81514941539
318.7519185.2594214806461
416.9719171.8709259918263
529.48726184.734879592321
621.9426111.546671206288
728.40414173.311881775787
818.4108482.6218955713813
917.7175677.3656434648334
1020.851045102.229582480285
1119.63920392.2788124120872
1217.629676.7088749910168
1319.01340587.3044851876168
1421.53982108.069987430187
1520.812351101.905428854407
1620.08278895.8727924896616
1721.11946104.489778468913
1821.50256107.750650433615
1916.8545971.021489685909
2020.54567299.6828405318253
2118.9382486.714615568468
2218.5782583.9122577971386
2318.4372782.8250689535856
2418.7333985.115335185264
2521.19856105.159698819866
2613.2645547.0689473506175
2719.66607592.4949322322022
2821.75566109.92745118833
2922.03471112.348064643032
3017.3760274.8283043803625
3117.7170177.3615296881776
3219.61707592.101001853891
3318.9806687.0473123958183
3419.37508190.165618103638
3519.975505394.9984264155814
3615.6549162.5739367783744
3722.1962113.758757759347
3819.56384291.6738206510994
3919.17499488.5781130176049
4016.1216865.8087839090069
4116.8969171.3274251287766
4222.43302115.840516800172
4316.0111865.0369823196007
4418.2813981.6297332191816
4518.5001583.3092614806636
4617.3022874.285025869423
4716.2783966.9097083719174
4818.7443785.2007479696746
4924.2709132.517594176236
5017.4377775.2844902520727
5118.3952682.5022241870536
5220.46527399.0167098534971
5321.96112111.707613766872
5419.03004787.4353070898784
5515.2271859.6683056617469
5622.20375113.824887023621
5721.71293109.558698862392
5816.2807366.9262038809236
5915.6161662.3083841491283
6020.45923198.9667238838883
6121.10493104.366910413625
6218.7137484.9625664333949
6317.3729374.8055063849121
6419.58469791.8410798776883
6519.73945193.0861166433427
6615.7431163.1800853016513
6721.834110.604828986772
6817.7161877.3553217944665
6919.987821895.0986406606471
7021.56911108.321289136896
7119.21146288.8665929104686
7222.09814112.901296353001
7321.42428107.081012552936
7417.8708478.5155965879367
7518.0227279.6618770594311
7625.24104141.68833750683
7722.14003113.267267929644
7823.12924122.049859493249
7920.5608999.8091321097776
8014.443754.4930999569857
8119.0695487.7460801036786
8216.6809669.7719295427838
8320.50906999.3793466122898
8419.5436591.5119976272736
8520.22863597.0667145993124
8620.731929101.233053662844
8718.8129985.735332277004
8820.14504996.3817291500028
8923.80745128.225737946249
9021.65512109.06061683409
9120.54399799.6689439923853
9220.988396103.383622252434
9322.46021116.080518767888
9418.8459585.9925932207818
9519.98156195.0476937278839
9621.54144108.083880425693
9718.32481.9557740892519
9820.749892101.383076833316
9917.6377776.769781290082
10019.54199491.4987312780374
10121.71229109.553179633617
10221.64389108.963968730919
10315.404960.8687397992814
10424.02201130.205505908743
10522.17768113.596610666735
10619.87390794.173413609327
10723.86451128.751022770738
10818.1940480.9630153126406
10926.46585153.623355796432
11022.32036114.84825392621
11119.95261994.8123249382379
11218.1447680.5878617445176
11319.75962293.2489027216931
11421.77236110.071707130189
11519.53686791.4576634581877
11619.7801393.4145277884878
11719.40795590.4275454272309
11815.5122461.5984995886593
11923.13808122.129553068048
12019.2365889.0655117936123
12121.21427105.292959879488
12219.50512491.2035665784684
12316.0723165.4634935456459
12418.8052985.6752773032047
12517.6813877.0952222683805
12618.1912280.9415283044636
12719.6164592.0959816754857
12821.85838110.815981712043
12920.38221698.3304779012239
13017.1347373.0566228335621
13122.37688115.345621682014
13218.0754780.0615835799556
13321.74833109.864158529439
13419.72939993.0050374138687
13523.04365121.279359005524
13626.41317153.101893236026
13720.38779998.3765444037064
13819.23587589.0599261522143
13917.8484678.347262861812
14017.5039875.7748827219274
14116.5467568.8122772186863
14222.78629118.974607678709
14319.82630493.7878746462134
14419.956798694.8463004882857
14519.965588494.9177681455347
14620.848073102.20467002017
14716.9930872.0246429914282
14816.7140270.0091535669227
14922.21334113.908907024364
15020.593313100.078423288155
15123.87359128.834692900384
15217.2730374.0699750407314
15317.4301975.2284310663356
15422.13703113.241042331581
15523.9858129.870520534573
15620.54399799.6689439923853
15720.33307597.9253862888069
15821.85838110.815981712043
15915.9611264.6885555402405
16023.70604127.294347950597
16121.7475109.856992634588
16227.33833162.365172540754
16321.0124103.585850994792
16429.2764182.487640942482
16521.99121111.969304603495
16625.93146148.367395951082
16719.01993987.3558390710272
16819.05721487.6490375877721
16919.72085692.9361524747325
17021.26126105.691967871052
17123.50741125.478123189783
17220.48116899.1482598511515
17315.6068462.244583197816
17421.7181109.603288057853
17521.18809105.070924766607
17615.4494961.1714578505173
17718.8770186.2353126143107
17822.88395119.847054488991
17917.8479978.3437292862685
18018.6665184.5958364105781
18117.0588272.5028408100293
18214.4797354.7268857401168
18318.846986.0000128788533
18417.5178475.8777031313912
18519.32138489.7384499164065
18625.44613143.659179785034
18721.25409105.63104502418
18820.26120397.3341459451974
18918.5626283.7914390218239
19024.55404135.168100973796
19115.7200263.0211705274831
19217.2710474.0553534867178
19321.90415111.212836472172
19420.30580497.7008744414849
19521.3531106.473595651846
19617.4607575.4545470226466
19726.34699152.447829584415
19822.79858119.084256858972
19920.902978102.665306216455
20019.33257289.8273837929128
20120.18558796.7136892261525
20219.02498187.3954750433755
20319.81185593.6709795682699
20418.9533686.8331408109877
20518.4972983.2872136833247
20620.707313101.027613787511
20719.72616792.9789743091179
20822.33671114.992041023211
20919.76508593.293010812974
21020.972595103.250590415037
21119.66023192.4479138785888
21219.911385694.4774097979489
21323.50203125.429078630886
21417.2473173.8810878515118
21521.62594108.809559561955
21619.968178394.9388301738394
21720.897482102.619158260488
21819.56253791.6633585653591
21923.81627128.306875873486
22022.22594114.019336867863
22116.8760871.1767758956717
22219.54003791.4830546080481
22321.06037103.99047297955
22416.2046466.3906687371621
22522.19481113.746584683676
22617.8206878.1385178616482
22720.24793497.2251515190203
22816.7972570.6078303615531
22924.89235138.363222194149
23017.3251274.4531263730653
23118.5600383.7714253835277
23218.5288683.5307196252956
23315.7175963.0044557753032
23423.771127.890646200961
23517.1303173.0243306700909
23618.3564682.2045061958128
23721.71396109.567581610316
23817.9197878.8842187099365
23915.0247458.3127988284241
24016.3398967.3437953963778
24115.8072663.6224482261925
24220.32612397.8681330668846
24319.88015494.2240563917171
24420.869543102.384695791767
24522.26227114.337988276909
24624.07807130.72482481637
24720.748261101.36945131282
24827.91382168.23951908246
24922.40876115.626549313346
25019.76300893.2762401742498
25120.936757102.949122970786
25222.95233120.459481899549
25316.7973470.6084788616631
25419.20418888.809021346254
25522.06391112.60260658151
25620.11379596.1261134575962
25724.63661135.945097429445
25820.52904899.5449556158256
25922.25051114.234801124731
26011.5375937.0082071360478
26118.2483381.3771326759625
26219.02775187.4172535883788
26323.08095121.614896188406
26418.605684.1238425524613

\begin{tabular}{lllllllll}
\hline
Obs. & Original & Transformed \tabularnewline
1 & 17.88623 & 78.6314399003843 \tabularnewline
2 & 21.62659 & 108.81514941539 \tabularnewline
3 & 18.75191 & 85.2594214806461 \tabularnewline
4 & 16.97191 & 71.8709259918263 \tabularnewline
5 & 29.48726 & 184.734879592321 \tabularnewline
6 & 21.9426 & 111.546671206288 \tabularnewline
7 & 28.40414 & 173.311881775787 \tabularnewline
8 & 18.41084 & 82.6218955713813 \tabularnewline
9 & 17.71756 & 77.3656434648334 \tabularnewline
10 & 20.851045 & 102.229582480285 \tabularnewline
11 & 19.639203 & 92.2788124120872 \tabularnewline
12 & 17.6296 & 76.7088749910168 \tabularnewline
13 & 19.013405 & 87.3044851876168 \tabularnewline
14 & 21.53982 & 108.069987430187 \tabularnewline
15 & 20.812351 & 101.905428854407 \tabularnewline
16 & 20.082788 & 95.8727924896616 \tabularnewline
17 & 21.11946 & 104.489778468913 \tabularnewline
18 & 21.50256 & 107.750650433615 \tabularnewline
19 & 16.85459 & 71.021489685909 \tabularnewline
20 & 20.545672 & 99.6828405318253 \tabularnewline
21 & 18.93824 & 86.714615568468 \tabularnewline
22 & 18.57825 & 83.9122577971386 \tabularnewline
23 & 18.43727 & 82.8250689535856 \tabularnewline
24 & 18.73339 & 85.115335185264 \tabularnewline
25 & 21.19856 & 105.159698819866 \tabularnewline
26 & 13.26455 & 47.0689473506175 \tabularnewline
27 & 19.666075 & 92.4949322322022 \tabularnewline
28 & 21.75566 & 109.92745118833 \tabularnewline
29 & 22.03471 & 112.348064643032 \tabularnewline
30 & 17.37602 & 74.8283043803625 \tabularnewline
31 & 17.71701 & 77.3615296881776 \tabularnewline
32 & 19.617075 & 92.101001853891 \tabularnewline
33 & 18.98066 & 87.0473123958183 \tabularnewline
34 & 19.375081 & 90.165618103638 \tabularnewline
35 & 19.9755053 & 94.9984264155814 \tabularnewline
36 & 15.65491 & 62.5739367783744 \tabularnewline
37 & 22.1962 & 113.758757759347 \tabularnewline
38 & 19.563842 & 91.6738206510994 \tabularnewline
39 & 19.174994 & 88.5781130176049 \tabularnewline
40 & 16.12168 & 65.8087839090069 \tabularnewline
41 & 16.89691 & 71.3274251287766 \tabularnewline
42 & 22.43302 & 115.840516800172 \tabularnewline
43 & 16.01118 & 65.0369823196007 \tabularnewline
44 & 18.28139 & 81.6297332191816 \tabularnewline
45 & 18.50015 & 83.3092614806636 \tabularnewline
46 & 17.30228 & 74.285025869423 \tabularnewline
47 & 16.27839 & 66.9097083719174 \tabularnewline
48 & 18.74437 & 85.2007479696746 \tabularnewline
49 & 24.2709 & 132.517594176236 \tabularnewline
50 & 17.43777 & 75.2844902520727 \tabularnewline
51 & 18.39526 & 82.5022241870536 \tabularnewline
52 & 20.465273 & 99.0167098534971 \tabularnewline
53 & 21.96112 & 111.707613766872 \tabularnewline
54 & 19.030047 & 87.4353070898784 \tabularnewline
55 & 15.22718 & 59.6683056617469 \tabularnewline
56 & 22.20375 & 113.824887023621 \tabularnewline
57 & 21.71293 & 109.558698862392 \tabularnewline
58 & 16.28073 & 66.9262038809236 \tabularnewline
59 & 15.61616 & 62.3083841491283 \tabularnewline
60 & 20.459231 & 98.9667238838883 \tabularnewline
61 & 21.10493 & 104.366910413625 \tabularnewline
62 & 18.71374 & 84.9625664333949 \tabularnewline
63 & 17.37293 & 74.8055063849121 \tabularnewline
64 & 19.584697 & 91.8410798776883 \tabularnewline
65 & 19.739451 & 93.0861166433427 \tabularnewline
66 & 15.74311 & 63.1800853016513 \tabularnewline
67 & 21.834 & 110.604828986772 \tabularnewline
68 & 17.71618 & 77.3553217944665 \tabularnewline
69 & 19.9878218 & 95.0986406606471 \tabularnewline
70 & 21.56911 & 108.321289136896 \tabularnewline
71 & 19.211462 & 88.8665929104686 \tabularnewline
72 & 22.09814 & 112.901296353001 \tabularnewline
73 & 21.42428 & 107.081012552936 \tabularnewline
74 & 17.87084 & 78.5155965879367 \tabularnewline
75 & 18.02272 & 79.6618770594311 \tabularnewline
76 & 25.24104 & 141.68833750683 \tabularnewline
77 & 22.14003 & 113.267267929644 \tabularnewline
78 & 23.12924 & 122.049859493249 \tabularnewline
79 & 20.56089 & 99.8091321097776 \tabularnewline
80 & 14.4437 & 54.4930999569857 \tabularnewline
81 & 19.06954 & 87.7460801036786 \tabularnewline
82 & 16.68096 & 69.7719295427838 \tabularnewline
83 & 20.509069 & 99.3793466122898 \tabularnewline
84 & 19.54365 & 91.5119976272736 \tabularnewline
85 & 20.228635 & 97.0667145993124 \tabularnewline
86 & 20.731929 & 101.233053662844 \tabularnewline
87 & 18.81299 & 85.735332277004 \tabularnewline
88 & 20.145049 & 96.3817291500028 \tabularnewline
89 & 23.80745 & 128.225737946249 \tabularnewline
90 & 21.65512 & 109.06061683409 \tabularnewline
91 & 20.543997 & 99.6689439923853 \tabularnewline
92 & 20.988396 & 103.383622252434 \tabularnewline
93 & 22.46021 & 116.080518767888 \tabularnewline
94 & 18.84595 & 85.9925932207818 \tabularnewline
95 & 19.981561 & 95.0476937278839 \tabularnewline
96 & 21.54144 & 108.083880425693 \tabularnewline
97 & 18.324 & 81.9557740892519 \tabularnewline
98 & 20.749892 & 101.383076833316 \tabularnewline
99 & 17.63777 & 76.769781290082 \tabularnewline
100 & 19.541994 & 91.4987312780374 \tabularnewline
101 & 21.71229 & 109.553179633617 \tabularnewline
102 & 21.64389 & 108.963968730919 \tabularnewline
103 & 15.4049 & 60.8687397992814 \tabularnewline
104 & 24.02201 & 130.205505908743 \tabularnewline
105 & 22.17768 & 113.596610666735 \tabularnewline
106 & 19.873907 & 94.173413609327 \tabularnewline
107 & 23.86451 & 128.751022770738 \tabularnewline
108 & 18.19404 & 80.9630153126406 \tabularnewline
109 & 26.46585 & 153.623355796432 \tabularnewline
110 & 22.32036 & 114.84825392621 \tabularnewline
111 & 19.952619 & 94.8123249382379 \tabularnewline
112 & 18.14476 & 80.5878617445176 \tabularnewline
113 & 19.759622 & 93.2489027216931 \tabularnewline
114 & 21.77236 & 110.071707130189 \tabularnewline
115 & 19.536867 & 91.4576634581877 \tabularnewline
116 & 19.78013 & 93.4145277884878 \tabularnewline
117 & 19.407955 & 90.4275454272309 \tabularnewline
118 & 15.51224 & 61.5984995886593 \tabularnewline
119 & 23.13808 & 122.129553068048 \tabularnewline
120 & 19.23658 & 89.0655117936123 \tabularnewline
121 & 21.21427 & 105.292959879488 \tabularnewline
122 & 19.505124 & 91.2035665784684 \tabularnewline
123 & 16.07231 & 65.4634935456459 \tabularnewline
124 & 18.80529 & 85.6752773032047 \tabularnewline
125 & 17.68138 & 77.0952222683805 \tabularnewline
126 & 18.19122 & 80.9415283044636 \tabularnewline
127 & 19.61645 & 92.0959816754857 \tabularnewline
128 & 21.85838 & 110.815981712043 \tabularnewline
129 & 20.382216 & 98.3304779012239 \tabularnewline
130 & 17.13473 & 73.0566228335621 \tabularnewline
131 & 22.37688 & 115.345621682014 \tabularnewline
132 & 18.07547 & 80.0615835799556 \tabularnewline
133 & 21.74833 & 109.864158529439 \tabularnewline
134 & 19.729399 & 93.0050374138687 \tabularnewline
135 & 23.04365 & 121.279359005524 \tabularnewline
136 & 26.41317 & 153.101893236026 \tabularnewline
137 & 20.387799 & 98.3765444037064 \tabularnewline
138 & 19.235875 & 89.0599261522143 \tabularnewline
139 & 17.84846 & 78.347262861812 \tabularnewline
140 & 17.50398 & 75.7748827219274 \tabularnewline
141 & 16.54675 & 68.8122772186863 \tabularnewline
142 & 22.78629 & 118.974607678709 \tabularnewline
143 & 19.826304 & 93.7878746462134 \tabularnewline
144 & 19.9567986 & 94.8463004882857 \tabularnewline
145 & 19.9655884 & 94.9177681455347 \tabularnewline
146 & 20.848073 & 102.20467002017 \tabularnewline
147 & 16.99308 & 72.0246429914282 \tabularnewline
148 & 16.71402 & 70.0091535669227 \tabularnewline
149 & 22.21334 & 113.908907024364 \tabularnewline
150 & 20.593313 & 100.078423288155 \tabularnewline
151 & 23.87359 & 128.834692900384 \tabularnewline
152 & 17.27303 & 74.0699750407314 \tabularnewline
153 & 17.43019 & 75.2284310663356 \tabularnewline
154 & 22.13703 & 113.241042331581 \tabularnewline
155 & 23.9858 & 129.870520534573 \tabularnewline
156 & 20.543997 & 99.6689439923853 \tabularnewline
157 & 20.333075 & 97.9253862888069 \tabularnewline
158 & 21.85838 & 110.815981712043 \tabularnewline
159 & 15.96112 & 64.6885555402405 \tabularnewline
160 & 23.70604 & 127.294347950597 \tabularnewline
161 & 21.7475 & 109.856992634588 \tabularnewline
162 & 27.33833 & 162.365172540754 \tabularnewline
163 & 21.0124 & 103.585850994792 \tabularnewline
164 & 29.2764 & 182.487640942482 \tabularnewline
165 & 21.99121 & 111.969304603495 \tabularnewline
166 & 25.93146 & 148.367395951082 \tabularnewline
167 & 19.019939 & 87.3558390710272 \tabularnewline
168 & 19.057214 & 87.6490375877721 \tabularnewline
169 & 19.720856 & 92.9361524747325 \tabularnewline
170 & 21.26126 & 105.691967871052 \tabularnewline
171 & 23.50741 & 125.478123189783 \tabularnewline
172 & 20.481168 & 99.1482598511515 \tabularnewline
173 & 15.60684 & 62.244583197816 \tabularnewline
174 & 21.7181 & 109.603288057853 \tabularnewline
175 & 21.18809 & 105.070924766607 \tabularnewline
176 & 15.44949 & 61.1714578505173 \tabularnewline
177 & 18.87701 & 86.2353126143107 \tabularnewline
178 & 22.88395 & 119.847054488991 \tabularnewline
179 & 17.84799 & 78.3437292862685 \tabularnewline
180 & 18.66651 & 84.5958364105781 \tabularnewline
181 & 17.05882 & 72.5028408100293 \tabularnewline
182 & 14.47973 & 54.7268857401168 \tabularnewline
183 & 18.8469 & 86.0000128788533 \tabularnewline
184 & 17.51784 & 75.8777031313912 \tabularnewline
185 & 19.321384 & 89.7384499164065 \tabularnewline
186 & 25.44613 & 143.659179785034 \tabularnewline
187 & 21.25409 & 105.63104502418 \tabularnewline
188 & 20.261203 & 97.3341459451974 \tabularnewline
189 & 18.56262 & 83.7914390218239 \tabularnewline
190 & 24.55404 & 135.168100973796 \tabularnewline
191 & 15.72002 & 63.0211705274831 \tabularnewline
192 & 17.27104 & 74.0553534867178 \tabularnewline
193 & 21.90415 & 111.212836472172 \tabularnewline
194 & 20.305804 & 97.7008744414849 \tabularnewline
195 & 21.3531 & 106.473595651846 \tabularnewline
196 & 17.46075 & 75.4545470226466 \tabularnewline
197 & 26.34699 & 152.447829584415 \tabularnewline
198 & 22.79858 & 119.084256858972 \tabularnewline
199 & 20.902978 & 102.665306216455 \tabularnewline
200 & 19.332572 & 89.8273837929128 \tabularnewline
201 & 20.185587 & 96.7136892261525 \tabularnewline
202 & 19.024981 & 87.3954750433755 \tabularnewline
203 & 19.811855 & 93.6709795682699 \tabularnewline
204 & 18.95336 & 86.8331408109877 \tabularnewline
205 & 18.49729 & 83.2872136833247 \tabularnewline
206 & 20.707313 & 101.027613787511 \tabularnewline
207 & 19.726167 & 92.9789743091179 \tabularnewline
208 & 22.33671 & 114.992041023211 \tabularnewline
209 & 19.765085 & 93.293010812974 \tabularnewline
210 & 20.972595 & 103.250590415037 \tabularnewline
211 & 19.660231 & 92.4479138785888 \tabularnewline
212 & 19.9113856 & 94.4774097979489 \tabularnewline
213 & 23.50203 & 125.429078630886 \tabularnewline
214 & 17.24731 & 73.8810878515118 \tabularnewline
215 & 21.62594 & 108.809559561955 \tabularnewline
216 & 19.9681783 & 94.9388301738394 \tabularnewline
217 & 20.897482 & 102.619158260488 \tabularnewline
218 & 19.562537 & 91.6633585653591 \tabularnewline
219 & 23.81627 & 128.306875873486 \tabularnewline
220 & 22.22594 & 114.019336867863 \tabularnewline
221 & 16.87608 & 71.1767758956717 \tabularnewline
222 & 19.540037 & 91.4830546080481 \tabularnewline
223 & 21.06037 & 103.99047297955 \tabularnewline
224 & 16.20464 & 66.3906687371621 \tabularnewline
225 & 22.19481 & 113.746584683676 \tabularnewline
226 & 17.82068 & 78.1385178616482 \tabularnewline
227 & 20.247934 & 97.2251515190203 \tabularnewline
228 & 16.79725 & 70.6078303615531 \tabularnewline
229 & 24.89235 & 138.363222194149 \tabularnewline
230 & 17.32512 & 74.4531263730653 \tabularnewline
231 & 18.56003 & 83.7714253835277 \tabularnewline
232 & 18.52886 & 83.5307196252956 \tabularnewline
233 & 15.71759 & 63.0044557753032 \tabularnewline
234 & 23.771 & 127.890646200961 \tabularnewline
235 & 17.13031 & 73.0243306700909 \tabularnewline
236 & 18.35646 & 82.2045061958128 \tabularnewline
237 & 21.71396 & 109.567581610316 \tabularnewline
238 & 17.91978 & 78.8842187099365 \tabularnewline
239 & 15.02474 & 58.3127988284241 \tabularnewline
240 & 16.33989 & 67.3437953963778 \tabularnewline
241 & 15.80726 & 63.6224482261925 \tabularnewline
242 & 20.326123 & 97.8681330668846 \tabularnewline
243 & 19.880154 & 94.2240563917171 \tabularnewline
244 & 20.869543 & 102.384695791767 \tabularnewline
245 & 22.26227 & 114.337988276909 \tabularnewline
246 & 24.07807 & 130.72482481637 \tabularnewline
247 & 20.748261 & 101.36945131282 \tabularnewline
248 & 27.91382 & 168.23951908246 \tabularnewline
249 & 22.40876 & 115.626549313346 \tabularnewline
250 & 19.763008 & 93.2762401742498 \tabularnewline
251 & 20.936757 & 102.949122970786 \tabularnewline
252 & 22.95233 & 120.459481899549 \tabularnewline
253 & 16.79734 & 70.6084788616631 \tabularnewline
254 & 19.204188 & 88.809021346254 \tabularnewline
255 & 22.06391 & 112.60260658151 \tabularnewline
256 & 20.113795 & 96.1261134575962 \tabularnewline
257 & 24.63661 & 135.945097429445 \tabularnewline
258 & 20.529048 & 99.5449556158256 \tabularnewline
259 & 22.25051 & 114.234801124731 \tabularnewline
260 & 11.53759 & 37.0082071360478 \tabularnewline
261 & 18.24833 & 81.3771326759625 \tabularnewline
262 & 19.027751 & 87.4172535883788 \tabularnewline
263 & 23.08095 & 121.614896188406 \tabularnewline
264 & 18.6056 & 84.1238425524613 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=253745&T=2

[TABLE]
[ROW][C]Obs.[/C][C]Original[/C][C]Transformed[/C][/ROW]
[ROW][C]1[/C][C]17.88623[/C][C]78.6314399003843[/C][/ROW]
[ROW][C]2[/C][C]21.62659[/C][C]108.81514941539[/C][/ROW]
[ROW][C]3[/C][C]18.75191[/C][C]85.2594214806461[/C][/ROW]
[ROW][C]4[/C][C]16.97191[/C][C]71.8709259918263[/C][/ROW]
[ROW][C]5[/C][C]29.48726[/C][C]184.734879592321[/C][/ROW]
[ROW][C]6[/C][C]21.9426[/C][C]111.546671206288[/C][/ROW]
[ROW][C]7[/C][C]28.40414[/C][C]173.311881775787[/C][/ROW]
[ROW][C]8[/C][C]18.41084[/C][C]82.6218955713813[/C][/ROW]
[ROW][C]9[/C][C]17.71756[/C][C]77.3656434648334[/C][/ROW]
[ROW][C]10[/C][C]20.851045[/C][C]102.229582480285[/C][/ROW]
[ROW][C]11[/C][C]19.639203[/C][C]92.2788124120872[/C][/ROW]
[ROW][C]12[/C][C]17.6296[/C][C]76.7088749910168[/C][/ROW]
[ROW][C]13[/C][C]19.013405[/C][C]87.3044851876168[/C][/ROW]
[ROW][C]14[/C][C]21.53982[/C][C]108.069987430187[/C][/ROW]
[ROW][C]15[/C][C]20.812351[/C][C]101.905428854407[/C][/ROW]
[ROW][C]16[/C][C]20.082788[/C][C]95.8727924896616[/C][/ROW]
[ROW][C]17[/C][C]21.11946[/C][C]104.489778468913[/C][/ROW]
[ROW][C]18[/C][C]21.50256[/C][C]107.750650433615[/C][/ROW]
[ROW][C]19[/C][C]16.85459[/C][C]71.021489685909[/C][/ROW]
[ROW][C]20[/C][C]20.545672[/C][C]99.6828405318253[/C][/ROW]
[ROW][C]21[/C][C]18.93824[/C][C]86.714615568468[/C][/ROW]
[ROW][C]22[/C][C]18.57825[/C][C]83.9122577971386[/C][/ROW]
[ROW][C]23[/C][C]18.43727[/C][C]82.8250689535856[/C][/ROW]
[ROW][C]24[/C][C]18.73339[/C][C]85.115335185264[/C][/ROW]
[ROW][C]25[/C][C]21.19856[/C][C]105.159698819866[/C][/ROW]
[ROW][C]26[/C][C]13.26455[/C][C]47.0689473506175[/C][/ROW]
[ROW][C]27[/C][C]19.666075[/C][C]92.4949322322022[/C][/ROW]
[ROW][C]28[/C][C]21.75566[/C][C]109.92745118833[/C][/ROW]
[ROW][C]29[/C][C]22.03471[/C][C]112.348064643032[/C][/ROW]
[ROW][C]30[/C][C]17.37602[/C][C]74.8283043803625[/C][/ROW]
[ROW][C]31[/C][C]17.71701[/C][C]77.3615296881776[/C][/ROW]
[ROW][C]32[/C][C]19.617075[/C][C]92.101001853891[/C][/ROW]
[ROW][C]33[/C][C]18.98066[/C][C]87.0473123958183[/C][/ROW]
[ROW][C]34[/C][C]19.375081[/C][C]90.165618103638[/C][/ROW]
[ROW][C]35[/C][C]19.9755053[/C][C]94.9984264155814[/C][/ROW]
[ROW][C]36[/C][C]15.65491[/C][C]62.5739367783744[/C][/ROW]
[ROW][C]37[/C][C]22.1962[/C][C]113.758757759347[/C][/ROW]
[ROW][C]38[/C][C]19.563842[/C][C]91.6738206510994[/C][/ROW]
[ROW][C]39[/C][C]19.174994[/C][C]88.5781130176049[/C][/ROW]
[ROW][C]40[/C][C]16.12168[/C][C]65.8087839090069[/C][/ROW]
[ROW][C]41[/C][C]16.89691[/C][C]71.3274251287766[/C][/ROW]
[ROW][C]42[/C][C]22.43302[/C][C]115.840516800172[/C][/ROW]
[ROW][C]43[/C][C]16.01118[/C][C]65.0369823196007[/C][/ROW]
[ROW][C]44[/C][C]18.28139[/C][C]81.6297332191816[/C][/ROW]
[ROW][C]45[/C][C]18.50015[/C][C]83.3092614806636[/C][/ROW]
[ROW][C]46[/C][C]17.30228[/C][C]74.285025869423[/C][/ROW]
[ROW][C]47[/C][C]16.27839[/C][C]66.9097083719174[/C][/ROW]
[ROW][C]48[/C][C]18.74437[/C][C]85.2007479696746[/C][/ROW]
[ROW][C]49[/C][C]24.2709[/C][C]132.517594176236[/C][/ROW]
[ROW][C]50[/C][C]17.43777[/C][C]75.2844902520727[/C][/ROW]
[ROW][C]51[/C][C]18.39526[/C][C]82.5022241870536[/C][/ROW]
[ROW][C]52[/C][C]20.465273[/C][C]99.0167098534971[/C][/ROW]
[ROW][C]53[/C][C]21.96112[/C][C]111.707613766872[/C][/ROW]
[ROW][C]54[/C][C]19.030047[/C][C]87.4353070898784[/C][/ROW]
[ROW][C]55[/C][C]15.22718[/C][C]59.6683056617469[/C][/ROW]
[ROW][C]56[/C][C]22.20375[/C][C]113.824887023621[/C][/ROW]
[ROW][C]57[/C][C]21.71293[/C][C]109.558698862392[/C][/ROW]
[ROW][C]58[/C][C]16.28073[/C][C]66.9262038809236[/C][/ROW]
[ROW][C]59[/C][C]15.61616[/C][C]62.3083841491283[/C][/ROW]
[ROW][C]60[/C][C]20.459231[/C][C]98.9667238838883[/C][/ROW]
[ROW][C]61[/C][C]21.10493[/C][C]104.366910413625[/C][/ROW]
[ROW][C]62[/C][C]18.71374[/C][C]84.9625664333949[/C][/ROW]
[ROW][C]63[/C][C]17.37293[/C][C]74.8055063849121[/C][/ROW]
[ROW][C]64[/C][C]19.584697[/C][C]91.8410798776883[/C][/ROW]
[ROW][C]65[/C][C]19.739451[/C][C]93.0861166433427[/C][/ROW]
[ROW][C]66[/C][C]15.74311[/C][C]63.1800853016513[/C][/ROW]
[ROW][C]67[/C][C]21.834[/C][C]110.604828986772[/C][/ROW]
[ROW][C]68[/C][C]17.71618[/C][C]77.3553217944665[/C][/ROW]
[ROW][C]69[/C][C]19.9878218[/C][C]95.0986406606471[/C][/ROW]
[ROW][C]70[/C][C]21.56911[/C][C]108.321289136896[/C][/ROW]
[ROW][C]71[/C][C]19.211462[/C][C]88.8665929104686[/C][/ROW]
[ROW][C]72[/C][C]22.09814[/C][C]112.901296353001[/C][/ROW]
[ROW][C]73[/C][C]21.42428[/C][C]107.081012552936[/C][/ROW]
[ROW][C]74[/C][C]17.87084[/C][C]78.5155965879367[/C][/ROW]
[ROW][C]75[/C][C]18.02272[/C][C]79.6618770594311[/C][/ROW]
[ROW][C]76[/C][C]25.24104[/C][C]141.68833750683[/C][/ROW]
[ROW][C]77[/C][C]22.14003[/C][C]113.267267929644[/C][/ROW]
[ROW][C]78[/C][C]23.12924[/C][C]122.049859493249[/C][/ROW]
[ROW][C]79[/C][C]20.56089[/C][C]99.8091321097776[/C][/ROW]
[ROW][C]80[/C][C]14.4437[/C][C]54.4930999569857[/C][/ROW]
[ROW][C]81[/C][C]19.06954[/C][C]87.7460801036786[/C][/ROW]
[ROW][C]82[/C][C]16.68096[/C][C]69.7719295427838[/C][/ROW]
[ROW][C]83[/C][C]20.509069[/C][C]99.3793466122898[/C][/ROW]
[ROW][C]84[/C][C]19.54365[/C][C]91.5119976272736[/C][/ROW]
[ROW][C]85[/C][C]20.228635[/C][C]97.0667145993124[/C][/ROW]
[ROW][C]86[/C][C]20.731929[/C][C]101.233053662844[/C][/ROW]
[ROW][C]87[/C][C]18.81299[/C][C]85.735332277004[/C][/ROW]
[ROW][C]88[/C][C]20.145049[/C][C]96.3817291500028[/C][/ROW]
[ROW][C]89[/C][C]23.80745[/C][C]128.225737946249[/C][/ROW]
[ROW][C]90[/C][C]21.65512[/C][C]109.06061683409[/C][/ROW]
[ROW][C]91[/C][C]20.543997[/C][C]99.6689439923853[/C][/ROW]
[ROW][C]92[/C][C]20.988396[/C][C]103.383622252434[/C][/ROW]
[ROW][C]93[/C][C]22.46021[/C][C]116.080518767888[/C][/ROW]
[ROW][C]94[/C][C]18.84595[/C][C]85.9925932207818[/C][/ROW]
[ROW][C]95[/C][C]19.981561[/C][C]95.0476937278839[/C][/ROW]
[ROW][C]96[/C][C]21.54144[/C][C]108.083880425693[/C][/ROW]
[ROW][C]97[/C][C]18.324[/C][C]81.9557740892519[/C][/ROW]
[ROW][C]98[/C][C]20.749892[/C][C]101.383076833316[/C][/ROW]
[ROW][C]99[/C][C]17.63777[/C][C]76.769781290082[/C][/ROW]
[ROW][C]100[/C][C]19.541994[/C][C]91.4987312780374[/C][/ROW]
[ROW][C]101[/C][C]21.71229[/C][C]109.553179633617[/C][/ROW]
[ROW][C]102[/C][C]21.64389[/C][C]108.963968730919[/C][/ROW]
[ROW][C]103[/C][C]15.4049[/C][C]60.8687397992814[/C][/ROW]
[ROW][C]104[/C][C]24.02201[/C][C]130.205505908743[/C][/ROW]
[ROW][C]105[/C][C]22.17768[/C][C]113.596610666735[/C][/ROW]
[ROW][C]106[/C][C]19.873907[/C][C]94.173413609327[/C][/ROW]
[ROW][C]107[/C][C]23.86451[/C][C]128.751022770738[/C][/ROW]
[ROW][C]108[/C][C]18.19404[/C][C]80.9630153126406[/C][/ROW]
[ROW][C]109[/C][C]26.46585[/C][C]153.623355796432[/C][/ROW]
[ROW][C]110[/C][C]22.32036[/C][C]114.84825392621[/C][/ROW]
[ROW][C]111[/C][C]19.952619[/C][C]94.8123249382379[/C][/ROW]
[ROW][C]112[/C][C]18.14476[/C][C]80.5878617445176[/C][/ROW]
[ROW][C]113[/C][C]19.759622[/C][C]93.2489027216931[/C][/ROW]
[ROW][C]114[/C][C]21.77236[/C][C]110.071707130189[/C][/ROW]
[ROW][C]115[/C][C]19.536867[/C][C]91.4576634581877[/C][/ROW]
[ROW][C]116[/C][C]19.78013[/C][C]93.4145277884878[/C][/ROW]
[ROW][C]117[/C][C]19.407955[/C][C]90.4275454272309[/C][/ROW]
[ROW][C]118[/C][C]15.51224[/C][C]61.5984995886593[/C][/ROW]
[ROW][C]119[/C][C]23.13808[/C][C]122.129553068048[/C][/ROW]
[ROW][C]120[/C][C]19.23658[/C][C]89.0655117936123[/C][/ROW]
[ROW][C]121[/C][C]21.21427[/C][C]105.292959879488[/C][/ROW]
[ROW][C]122[/C][C]19.505124[/C][C]91.2035665784684[/C][/ROW]
[ROW][C]123[/C][C]16.07231[/C][C]65.4634935456459[/C][/ROW]
[ROW][C]124[/C][C]18.80529[/C][C]85.6752773032047[/C][/ROW]
[ROW][C]125[/C][C]17.68138[/C][C]77.0952222683805[/C][/ROW]
[ROW][C]126[/C][C]18.19122[/C][C]80.9415283044636[/C][/ROW]
[ROW][C]127[/C][C]19.61645[/C][C]92.0959816754857[/C][/ROW]
[ROW][C]128[/C][C]21.85838[/C][C]110.815981712043[/C][/ROW]
[ROW][C]129[/C][C]20.382216[/C][C]98.3304779012239[/C][/ROW]
[ROW][C]130[/C][C]17.13473[/C][C]73.0566228335621[/C][/ROW]
[ROW][C]131[/C][C]22.37688[/C][C]115.345621682014[/C][/ROW]
[ROW][C]132[/C][C]18.07547[/C][C]80.0615835799556[/C][/ROW]
[ROW][C]133[/C][C]21.74833[/C][C]109.864158529439[/C][/ROW]
[ROW][C]134[/C][C]19.729399[/C][C]93.0050374138687[/C][/ROW]
[ROW][C]135[/C][C]23.04365[/C][C]121.279359005524[/C][/ROW]
[ROW][C]136[/C][C]26.41317[/C][C]153.101893236026[/C][/ROW]
[ROW][C]137[/C][C]20.387799[/C][C]98.3765444037064[/C][/ROW]
[ROW][C]138[/C][C]19.235875[/C][C]89.0599261522143[/C][/ROW]
[ROW][C]139[/C][C]17.84846[/C][C]78.347262861812[/C][/ROW]
[ROW][C]140[/C][C]17.50398[/C][C]75.7748827219274[/C][/ROW]
[ROW][C]141[/C][C]16.54675[/C][C]68.8122772186863[/C][/ROW]
[ROW][C]142[/C][C]22.78629[/C][C]118.974607678709[/C][/ROW]
[ROW][C]143[/C][C]19.826304[/C][C]93.7878746462134[/C][/ROW]
[ROW][C]144[/C][C]19.9567986[/C][C]94.8463004882857[/C][/ROW]
[ROW][C]145[/C][C]19.9655884[/C][C]94.9177681455347[/C][/ROW]
[ROW][C]146[/C][C]20.848073[/C][C]102.20467002017[/C][/ROW]
[ROW][C]147[/C][C]16.99308[/C][C]72.0246429914282[/C][/ROW]
[ROW][C]148[/C][C]16.71402[/C][C]70.0091535669227[/C][/ROW]
[ROW][C]149[/C][C]22.21334[/C][C]113.908907024364[/C][/ROW]
[ROW][C]150[/C][C]20.593313[/C][C]100.078423288155[/C][/ROW]
[ROW][C]151[/C][C]23.87359[/C][C]128.834692900384[/C][/ROW]
[ROW][C]152[/C][C]17.27303[/C][C]74.0699750407314[/C][/ROW]
[ROW][C]153[/C][C]17.43019[/C][C]75.2284310663356[/C][/ROW]
[ROW][C]154[/C][C]22.13703[/C][C]113.241042331581[/C][/ROW]
[ROW][C]155[/C][C]23.9858[/C][C]129.870520534573[/C][/ROW]
[ROW][C]156[/C][C]20.543997[/C][C]99.6689439923853[/C][/ROW]
[ROW][C]157[/C][C]20.333075[/C][C]97.9253862888069[/C][/ROW]
[ROW][C]158[/C][C]21.85838[/C][C]110.815981712043[/C][/ROW]
[ROW][C]159[/C][C]15.96112[/C][C]64.6885555402405[/C][/ROW]
[ROW][C]160[/C][C]23.70604[/C][C]127.294347950597[/C][/ROW]
[ROW][C]161[/C][C]21.7475[/C][C]109.856992634588[/C][/ROW]
[ROW][C]162[/C][C]27.33833[/C][C]162.365172540754[/C][/ROW]
[ROW][C]163[/C][C]21.0124[/C][C]103.585850994792[/C][/ROW]
[ROW][C]164[/C][C]29.2764[/C][C]182.487640942482[/C][/ROW]
[ROW][C]165[/C][C]21.99121[/C][C]111.969304603495[/C][/ROW]
[ROW][C]166[/C][C]25.93146[/C][C]148.367395951082[/C][/ROW]
[ROW][C]167[/C][C]19.019939[/C][C]87.3558390710272[/C][/ROW]
[ROW][C]168[/C][C]19.057214[/C][C]87.6490375877721[/C][/ROW]
[ROW][C]169[/C][C]19.720856[/C][C]92.9361524747325[/C][/ROW]
[ROW][C]170[/C][C]21.26126[/C][C]105.691967871052[/C][/ROW]
[ROW][C]171[/C][C]23.50741[/C][C]125.478123189783[/C][/ROW]
[ROW][C]172[/C][C]20.481168[/C][C]99.1482598511515[/C][/ROW]
[ROW][C]173[/C][C]15.60684[/C][C]62.244583197816[/C][/ROW]
[ROW][C]174[/C][C]21.7181[/C][C]109.603288057853[/C][/ROW]
[ROW][C]175[/C][C]21.18809[/C][C]105.070924766607[/C][/ROW]
[ROW][C]176[/C][C]15.44949[/C][C]61.1714578505173[/C][/ROW]
[ROW][C]177[/C][C]18.87701[/C][C]86.2353126143107[/C][/ROW]
[ROW][C]178[/C][C]22.88395[/C][C]119.847054488991[/C][/ROW]
[ROW][C]179[/C][C]17.84799[/C][C]78.3437292862685[/C][/ROW]
[ROW][C]180[/C][C]18.66651[/C][C]84.5958364105781[/C][/ROW]
[ROW][C]181[/C][C]17.05882[/C][C]72.5028408100293[/C][/ROW]
[ROW][C]182[/C][C]14.47973[/C][C]54.7268857401168[/C][/ROW]
[ROW][C]183[/C][C]18.8469[/C][C]86.0000128788533[/C][/ROW]
[ROW][C]184[/C][C]17.51784[/C][C]75.8777031313912[/C][/ROW]
[ROW][C]185[/C][C]19.321384[/C][C]89.7384499164065[/C][/ROW]
[ROW][C]186[/C][C]25.44613[/C][C]143.659179785034[/C][/ROW]
[ROW][C]187[/C][C]21.25409[/C][C]105.63104502418[/C][/ROW]
[ROW][C]188[/C][C]20.261203[/C][C]97.3341459451974[/C][/ROW]
[ROW][C]189[/C][C]18.56262[/C][C]83.7914390218239[/C][/ROW]
[ROW][C]190[/C][C]24.55404[/C][C]135.168100973796[/C][/ROW]
[ROW][C]191[/C][C]15.72002[/C][C]63.0211705274831[/C][/ROW]
[ROW][C]192[/C][C]17.27104[/C][C]74.0553534867178[/C][/ROW]
[ROW][C]193[/C][C]21.90415[/C][C]111.212836472172[/C][/ROW]
[ROW][C]194[/C][C]20.305804[/C][C]97.7008744414849[/C][/ROW]
[ROW][C]195[/C][C]21.3531[/C][C]106.473595651846[/C][/ROW]
[ROW][C]196[/C][C]17.46075[/C][C]75.4545470226466[/C][/ROW]
[ROW][C]197[/C][C]26.34699[/C][C]152.447829584415[/C][/ROW]
[ROW][C]198[/C][C]22.79858[/C][C]119.084256858972[/C][/ROW]
[ROW][C]199[/C][C]20.902978[/C][C]102.665306216455[/C][/ROW]
[ROW][C]200[/C][C]19.332572[/C][C]89.8273837929128[/C][/ROW]
[ROW][C]201[/C][C]20.185587[/C][C]96.7136892261525[/C][/ROW]
[ROW][C]202[/C][C]19.024981[/C][C]87.3954750433755[/C][/ROW]
[ROW][C]203[/C][C]19.811855[/C][C]93.6709795682699[/C][/ROW]
[ROW][C]204[/C][C]18.95336[/C][C]86.8331408109877[/C][/ROW]
[ROW][C]205[/C][C]18.49729[/C][C]83.2872136833247[/C][/ROW]
[ROW][C]206[/C][C]20.707313[/C][C]101.027613787511[/C][/ROW]
[ROW][C]207[/C][C]19.726167[/C][C]92.9789743091179[/C][/ROW]
[ROW][C]208[/C][C]22.33671[/C][C]114.992041023211[/C][/ROW]
[ROW][C]209[/C][C]19.765085[/C][C]93.293010812974[/C][/ROW]
[ROW][C]210[/C][C]20.972595[/C][C]103.250590415037[/C][/ROW]
[ROW][C]211[/C][C]19.660231[/C][C]92.4479138785888[/C][/ROW]
[ROW][C]212[/C][C]19.9113856[/C][C]94.4774097979489[/C][/ROW]
[ROW][C]213[/C][C]23.50203[/C][C]125.429078630886[/C][/ROW]
[ROW][C]214[/C][C]17.24731[/C][C]73.8810878515118[/C][/ROW]
[ROW][C]215[/C][C]21.62594[/C][C]108.809559561955[/C][/ROW]
[ROW][C]216[/C][C]19.9681783[/C][C]94.9388301738394[/C][/ROW]
[ROW][C]217[/C][C]20.897482[/C][C]102.619158260488[/C][/ROW]
[ROW][C]218[/C][C]19.562537[/C][C]91.6633585653591[/C][/ROW]
[ROW][C]219[/C][C]23.81627[/C][C]128.306875873486[/C][/ROW]
[ROW][C]220[/C][C]22.22594[/C][C]114.019336867863[/C][/ROW]
[ROW][C]221[/C][C]16.87608[/C][C]71.1767758956717[/C][/ROW]
[ROW][C]222[/C][C]19.540037[/C][C]91.4830546080481[/C][/ROW]
[ROW][C]223[/C][C]21.06037[/C][C]103.99047297955[/C][/ROW]
[ROW][C]224[/C][C]16.20464[/C][C]66.3906687371621[/C][/ROW]
[ROW][C]225[/C][C]22.19481[/C][C]113.746584683676[/C][/ROW]
[ROW][C]226[/C][C]17.82068[/C][C]78.1385178616482[/C][/ROW]
[ROW][C]227[/C][C]20.247934[/C][C]97.2251515190203[/C][/ROW]
[ROW][C]228[/C][C]16.79725[/C][C]70.6078303615531[/C][/ROW]
[ROW][C]229[/C][C]24.89235[/C][C]138.363222194149[/C][/ROW]
[ROW][C]230[/C][C]17.32512[/C][C]74.4531263730653[/C][/ROW]
[ROW][C]231[/C][C]18.56003[/C][C]83.7714253835277[/C][/ROW]
[ROW][C]232[/C][C]18.52886[/C][C]83.5307196252956[/C][/ROW]
[ROW][C]233[/C][C]15.71759[/C][C]63.0044557753032[/C][/ROW]
[ROW][C]234[/C][C]23.771[/C][C]127.890646200961[/C][/ROW]
[ROW][C]235[/C][C]17.13031[/C][C]73.0243306700909[/C][/ROW]
[ROW][C]236[/C][C]18.35646[/C][C]82.2045061958128[/C][/ROW]
[ROW][C]237[/C][C]21.71396[/C][C]109.567581610316[/C][/ROW]
[ROW][C]238[/C][C]17.91978[/C][C]78.8842187099365[/C][/ROW]
[ROW][C]239[/C][C]15.02474[/C][C]58.3127988284241[/C][/ROW]
[ROW][C]240[/C][C]16.33989[/C][C]67.3437953963778[/C][/ROW]
[ROW][C]241[/C][C]15.80726[/C][C]63.6224482261925[/C][/ROW]
[ROW][C]242[/C][C]20.326123[/C][C]97.8681330668846[/C][/ROW]
[ROW][C]243[/C][C]19.880154[/C][C]94.2240563917171[/C][/ROW]
[ROW][C]244[/C][C]20.869543[/C][C]102.384695791767[/C][/ROW]
[ROW][C]245[/C][C]22.26227[/C][C]114.337988276909[/C][/ROW]
[ROW][C]246[/C][C]24.07807[/C][C]130.72482481637[/C][/ROW]
[ROW][C]247[/C][C]20.748261[/C][C]101.36945131282[/C][/ROW]
[ROW][C]248[/C][C]27.91382[/C][C]168.23951908246[/C][/ROW]
[ROW][C]249[/C][C]22.40876[/C][C]115.626549313346[/C][/ROW]
[ROW][C]250[/C][C]19.763008[/C][C]93.2762401742498[/C][/ROW]
[ROW][C]251[/C][C]20.936757[/C][C]102.949122970786[/C][/ROW]
[ROW][C]252[/C][C]22.95233[/C][C]120.459481899549[/C][/ROW]
[ROW][C]253[/C][C]16.79734[/C][C]70.6084788616631[/C][/ROW]
[ROW][C]254[/C][C]19.204188[/C][C]88.809021346254[/C][/ROW]
[ROW][C]255[/C][C]22.06391[/C][C]112.60260658151[/C][/ROW]
[ROW][C]256[/C][C]20.113795[/C][C]96.1261134575962[/C][/ROW]
[ROW][C]257[/C][C]24.63661[/C][C]135.945097429445[/C][/ROW]
[ROW][C]258[/C][C]20.529048[/C][C]99.5449556158256[/C][/ROW]
[ROW][C]259[/C][C]22.25051[/C][C]114.234801124731[/C][/ROW]
[ROW][C]260[/C][C]11.53759[/C][C]37.0082071360478[/C][/ROW]
[ROW][C]261[/C][C]18.24833[/C][C]81.3771326759625[/C][/ROW]
[ROW][C]262[/C][C]19.027751[/C][C]87.4172535883788[/C][/ROW]
[ROW][C]263[/C][C]23.08095[/C][C]121.614896188406[/C][/ROW]
[ROW][C]264[/C][C]18.6056[/C][C]84.1238425524613[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=253745&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=253745&T=2

As an alternative you can also use a QR Code:  

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

Obs.OriginalTransformed
117.8862378.6314399003843
221.62659108.81514941539
318.7519185.2594214806461
416.9719171.8709259918263
529.48726184.734879592321
621.9426111.546671206288
728.40414173.311881775787
818.4108482.6218955713813
917.7175677.3656434648334
1020.851045102.229582480285
1119.63920392.2788124120872
1217.629676.7088749910168
1319.01340587.3044851876168
1421.53982108.069987430187
1520.812351101.905428854407
1620.08278895.8727924896616
1721.11946104.489778468913
1821.50256107.750650433615
1916.8545971.021489685909
2020.54567299.6828405318253
2118.9382486.714615568468
2218.5782583.9122577971386
2318.4372782.8250689535856
2418.7333985.115335185264
2521.19856105.159698819866
2613.2645547.0689473506175
2719.66607592.4949322322022
2821.75566109.92745118833
2922.03471112.348064643032
3017.3760274.8283043803625
3117.7170177.3615296881776
3219.61707592.101001853891
3318.9806687.0473123958183
3419.37508190.165618103638
3519.975505394.9984264155814
3615.6549162.5739367783744
3722.1962113.758757759347
3819.56384291.6738206510994
3919.17499488.5781130176049
4016.1216865.8087839090069
4116.8969171.3274251287766
4222.43302115.840516800172
4316.0111865.0369823196007
4418.2813981.6297332191816
4518.5001583.3092614806636
4617.3022874.285025869423
4716.2783966.9097083719174
4818.7443785.2007479696746
4924.2709132.517594176236
5017.4377775.2844902520727
5118.3952682.5022241870536
5220.46527399.0167098534971
5321.96112111.707613766872
5419.03004787.4353070898784
5515.2271859.6683056617469
5622.20375113.824887023621
5721.71293109.558698862392
5816.2807366.9262038809236
5915.6161662.3083841491283
6020.45923198.9667238838883
6121.10493104.366910413625
6218.7137484.9625664333949
6317.3729374.8055063849121
6419.58469791.8410798776883
6519.73945193.0861166433427
6615.7431163.1800853016513
6721.834110.604828986772
6817.7161877.3553217944665
6919.987821895.0986406606471
7021.56911108.321289136896
7119.21146288.8665929104686
7222.09814112.901296353001
7321.42428107.081012552936
7417.8708478.5155965879367
7518.0227279.6618770594311
7625.24104141.68833750683
7722.14003113.267267929644
7823.12924122.049859493249
7920.5608999.8091321097776
8014.443754.4930999569857
8119.0695487.7460801036786
8216.6809669.7719295427838
8320.50906999.3793466122898
8419.5436591.5119976272736
8520.22863597.0667145993124
8620.731929101.233053662844
8718.8129985.735332277004
8820.14504996.3817291500028
8923.80745128.225737946249
9021.65512109.06061683409
9120.54399799.6689439923853
9220.988396103.383622252434
9322.46021116.080518767888
9418.8459585.9925932207818
9519.98156195.0476937278839
9621.54144108.083880425693
9718.32481.9557740892519
9820.749892101.383076833316
9917.6377776.769781290082
10019.54199491.4987312780374
10121.71229109.553179633617
10221.64389108.963968730919
10315.404960.8687397992814
10424.02201130.205505908743
10522.17768113.596610666735
10619.87390794.173413609327
10723.86451128.751022770738
10818.1940480.9630153126406
10926.46585153.623355796432
11022.32036114.84825392621
11119.95261994.8123249382379
11218.1447680.5878617445176
11319.75962293.2489027216931
11421.77236110.071707130189
11519.53686791.4576634581877
11619.7801393.4145277884878
11719.40795590.4275454272309
11815.5122461.5984995886593
11923.13808122.129553068048
12019.2365889.0655117936123
12121.21427105.292959879488
12219.50512491.2035665784684
12316.0723165.4634935456459
12418.8052985.6752773032047
12517.6813877.0952222683805
12618.1912280.9415283044636
12719.6164592.0959816754857
12821.85838110.815981712043
12920.38221698.3304779012239
13017.1347373.0566228335621
13122.37688115.345621682014
13218.0754780.0615835799556
13321.74833109.864158529439
13419.72939993.0050374138687
13523.04365121.279359005524
13626.41317153.101893236026
13720.38779998.3765444037064
13819.23587589.0599261522143
13917.8484678.347262861812
14017.5039875.7748827219274
14116.5467568.8122772186863
14222.78629118.974607678709
14319.82630493.7878746462134
14419.956798694.8463004882857
14519.965588494.9177681455347
14620.848073102.20467002017
14716.9930872.0246429914282
14816.7140270.0091535669227
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26418.605684.1238425524613



Parameters (Session):
Parameters (R input):
par1 = Full Box-Cox transform ; par2 = -2 ; par3 = 2 ; par4 = 20 ; par5 = Yes ;
R code (references can be found in the software module):
par2 <- abs(as.numeric(par2)*100)
par3 <- as.numeric(par3)*100
if(par4=='') par4 <- 0
par4 <- as.numeric(par4)
numlam <- par2 + par3 + 1
x <- x + par4
n <- length(x)
c <- array(NA,dim=c(numlam))
l <- array(NA,dim=c(numlam))
mx <- -1
mxli <- -999
for (i in 1:numlam)
{
l[i] <- (i-par2-1)/100
if (l[i] != 0)
{
if (par1 == 'Full Box-Cox transform') x1 <- (x^l[i] - 1) / l[i]
if (par1 == 'Simple Box-Cox transform') x1 <- x^l[i]
} else {
x1 <- log(x)
}
c[i] <- cor(qnorm(ppoints(x), mean=0, sd=1),x1)
if (mx < c[i])
{
mx <- c[i]
mxli <- l[i]
x1.best <- x1
}
}
c
mx
mxli
x1.best
if (mxli != 0)
{
if (par1 == 'Full Box-Cox transform') x1 <- (x^mxli - 1) / mxli
if (par1 == 'Simple Box-Cox transform') x1 <- x^mxli
} else {
x1 <- log(x)
}
bitmap(file='test1.png')
plot(l,c,main='Box-Cox Normality Plot', xlab='Lambda',ylab='correlation')
mtext(paste('Optimal Lambda =',mxli))
grid()
dev.off()
bitmap(file='test2.png')
hist(x,main='Histogram of Original Data',xlab='X',ylab='frequency')
grid()
dev.off()
bitmap(file='test3.png')
hist(x1,main='Histogram of Transformed Data', xlab='X',ylab='frequency')
grid()
dev.off()
bitmap(file='test4.png')
qqnorm(x)
qqline(x)
grid()
mtext('Original Data')
dev.off()
bitmap(file='test5.png')
qqnorm(x1)
qqline(x1)
grid()
mtext('Transformed Data')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Box-Cox Normality Plot',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'# observations x',header=TRUE)
a<-table.element(a,n)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'maximum correlation',header=TRUE)
a<-table.element(a,mx)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'optimal lambda',header=TRUE)
a<-table.element(a,mxli)
a<-table.row.end(a)
if(mx<0) {
a<-table.row.start(a)
a<-table.element(a,'Warning: maximum correlation is negative! The Box-Cox transformation must not be used.',2)
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
if(par5=='Yes') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Obs.',header=T)
a<-table.element(a,'Original',header=T)
a<-table.element(a,'Transformed',header=T)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i)
a<-table.element(a,x[i])
a<-table.element(a,x1.best[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}