Description Usage Arguments Examples
Uses cross-validation to estimate the regularization parameter for the ordered lasso model.
1 2 3 4 5 |
x |
A matrix of predictors, where the rows are the samples and the columns are the predictors |
y |
A vector of observations, where length(y) equals nrow(x) |
lamlist |
Optional vector of values of lambda (the regularization parameter) |
minlam |
Optional minimum value for lambda |
maxlam |
Optional maximum value for lambda |
nlam |
Number of values of lambda to be tried. Default nlam = 50. |
flmin |
Fraction of maxlam minlam= flmin*maxlam. If computation is slow, try increasing flmin to focus on the sparser part of the path. Default flmin = 1e-4. |
strongly.ordered |
An option which allows users to order the coefficients in absolute value. |
intercept |
True if there is an intercept in the model. |
standardize |
Standardize the data matrix. |
nfolds |
Number of cross-validation folds. |
folds |
(Optional) user-supplied cross-validation folds. If provided, nfolds is ignored. |
niter |
Number of iterations the ordered lasso takes to converge. Default nither = 500. |
iter.gg |
Number of iterations of generalized gradient method; default 100 |
method |
Two options available, Solve.QP and Generalized Gradient. Details of two options can be seen in the orderedLasso description. |
trace |
Output option; trace=TRUE gives verbose output |
epsilon |
Error tolerance parameter for convergence criterion; default 1e-5 |
1 2 3 4 5 6 7 8 9 10 11 |
Loading required package: Matrix
Fold 1 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Fold 2 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Fold 3 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Fold 4 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Fold 5 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Fold 6 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Fold 7 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Fold 8 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Fold 9 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Fold 10 :
lambda= 0.0555431880114968
lambda= 0.0648632585178277
lambda= 0.0757472240282587
lambda= 0.0884575039721481
lambda= 0.103300551397943
lambda= 0.120634241753858
lambda= 0.14087650149579
lambda= 0.164515384563759
lambda= 0.192120839677229
lambda= 0.22435845216639
lambda= 0.26200549166382
lambda= 0.305969652576716
lambda= 0.357310939184576
lambda= 0.417267223026156
lambda= 0.487284088780777
lambda= 0.569049688247448
lambda= 0.664535442773709
lambda= 0.776043575496029
lambda= 0.906262619424709
lambda= 1.05833223970905
lambda= 1.23591893298942
lambda= 1.44330442899635
lambda= 1.6854889258164
lambda= 1.96831164789345
lambda= 2.29859163349676
lambda= 2.68429214613239
lambda= 3.1347126739632
lambda= 3.6607131464672
lambda= 4.27497577434272
lambda= 4.99231082578924
lambda= 5.83001371162726
lambda= 6.80828198880995
lambda= 7.9507023365501
lambda= 9.28481924637094
lambda= 10.8427991375648
lambda= 12.662205910312
lambda= 14.7869066355452
lambda= 17.2681292183268
lambda= 20.165697535686
lambda= 23.5494738288839
lambda= 27.5010431271164
lambda= 32.1156803151964
lambda= 37.5046472724847
lambda= 43.7978754685737
lambda= 51.1470986948335
lambda= 59.7295114640004
lambda= 69.752041284182
lambda= 81.4563378145596
lambda= 95.124599194552
lambda= 111.086376022994
Call
orderedLasso.cv(x = x, y = y, strongly.ordered = TRUE, intercept = FALSE,
method = "Solve.QP", trace = TRUE)
Lambda Mean CV Error SE Mean CV Error Ordered SE Ordered
[1,] 0.05554319 31.98255 5.803466 30.72322 5.211535
[2,] 0.06486326 31.97538 5.802354 30.72229 5.211953
[3,] 0.07574722 31.96702 5.801057 30.72120 5.212440
[4,] 0.08845750 31.95725 5.799544 30.71993 5.213010
[5,] 0.10330055 31.94586 5.797779 30.71845 5.213675
[6,] 0.12063424 31.93256 5.795721 30.71673 5.214452
[7,] 0.14087650 31.91705 5.793322 30.71472 5.215359
[8,] 0.16451538 31.89896 5.790525 30.71237 5.216418
[9,] 0.19212084 31.87786 5.787266 30.70963 5.217656
[10,] 0.22435845 31.85367 5.783356 30.70644 5.219101
[11,] 0.26200549 31.82565 5.778752 30.70271 5.220789
[12,] 0.30596965 31.79299 5.773394 30.69837 5.222761
[13,] 0.35731094 31.75496 5.767165 30.69332 5.225064
[14,] 0.41726722 31.71067 5.759926 30.68743 5.227754
[15,] 0.48728409 31.65785 5.751519 30.58307 5.230910
[16,] 0.56904969 31.59666 5.741596 30.55910 5.234692
[17,] 0.66453544 31.52631 5.730073 30.53208 5.239130
[18,] 0.77604358 31.45282 5.716422 30.50895 5.244173
[19,] 0.90626262 31.36703 5.700832 30.48220 5.250121
[20,] 1.05833224 31.26665 5.683182 30.45108 5.257006
[21,] 1.23591893 31.15190 5.663510 30.41429 5.264596
[22,] 1.44330443 31.07060 5.659683 30.37197 5.273587
[23,] 1.68548893 31.01076 5.660966 30.33596 5.283934
[24,] 1.96831165 30.96631 5.661648 30.31918 5.295460
[25,] 2.29859163 30.91508 5.662508 30.30004 5.308927
[26,] 2.68429215 30.85493 5.662778 30.27832 5.324661
[27,] 3.13471267 30.78379 5.661802 30.25381 5.343045
[28,] 3.66071315 30.70202 5.661054 30.22585 5.364672
[29,] 4.27497577 30.61968 5.657037 30.19484 5.389928
[30,] 4.99231083 30.53095 5.651452 30.16083 5.419412
[31,] 5.83001371 30.43124 5.645716 30.12415 5.453820
[32,] 6.80828199 30.31921 5.639456 30.09848 5.501909
[33,] 7.95070234 30.18287 5.626361 30.04249 5.539491
[34,] 9.28481925 30.03263 5.613456 29.98350 5.583302
[35,] 10.84279914 29.92556 5.634055 29.92556 5.634055
[36,] 12.66220591 29.87427 5.692295 29.87427 5.692295
[37,] 14.78690664 29.81740 5.756452 29.81740 5.756452
[38,] 17.26812922 29.76109 5.821068 29.76109 5.821068
[39,] 20.16569754 29.72410 5.897599 29.72410 5.897599
[40,] 23.54947383 29.72020 5.988670 29.72020 5.988670
[41,] 27.50104313 29.76978 6.098403 29.76978 6.098403
[42,] 32.11568032 29.93925 6.228961 29.93925 6.228961
[43,] 37.50464727 30.32258 6.371707 30.32258 6.371707
[44,] 43.79787547 30.89948 6.550550 30.89948 6.550550
[45,] 51.14709869 31.83099 6.789201 31.83099 6.789201
[46,] 59.72951146 33.14047 7.134676 33.14047 7.134676
[47,] 69.75204128 34.93032 7.646339 34.93032 7.646339
[48,] 81.45633781 37.37598 8.407704 37.37598 8.407704
[49,] 95.12459919 39.47084 8.639792 39.47084 8.639792
[50,] 111.08637602 41.13182 8.598040 41.13182 8.598040
lamhat= 23.54947 lamhat.1se= 81.45634 lamhat.ordered = 23.54947
lamhat.ordered.1se = 81.45634
Lambda Mean CV Error SE Mean CV Error Ordered SE Ordered
[1,] 0.05554319 31.98255 5.803466 30.72322 5.211535
[2,] 0.06486326 31.97538 5.802354 30.72229 5.211953
[3,] 0.07574722 31.96702 5.801057 30.72120 5.212440
[4,] 0.08845750 31.95725 5.799544 30.71993 5.213010
[5,] 0.10330055 31.94586 5.797779 30.71845 5.213675
[6,] 0.12063424 31.93256 5.795721 30.71673 5.214452
[7,] 0.14087650 31.91705 5.793322 30.71472 5.215359
[8,] 0.16451538 31.89896 5.790525 30.71237 5.216418
[9,] 0.19212084 31.87786 5.787266 30.70963 5.217656
[10,] 0.22435845 31.85367 5.783356 30.70644 5.219101
[11,] 0.26200549 31.82565 5.778752 30.70271 5.220789
[12,] 0.30596965 31.79299 5.773394 30.69837 5.222761
[13,] 0.35731094 31.75496 5.767165 30.69332 5.225064
[14,] 0.41726722 31.71067 5.759926 30.68743 5.227754
[15,] 0.48728409 31.65785 5.751519 30.58307 5.230910
[16,] 0.56904969 31.59666 5.741596 30.55910 5.234692
[17,] 0.66453544 31.52631 5.730073 30.53208 5.239130
[18,] 0.77604358 31.45282 5.716422 30.50895 5.244173
[19,] 0.90626262 31.36703 5.700832 30.48220 5.250121
[20,] 1.05833224 31.26665 5.683182 30.45108 5.257006
[21,] 1.23591893 31.15190 5.663510 30.41429 5.264596
[22,] 1.44330443 31.07060 5.659683 30.37197 5.273587
[23,] 1.68548893 31.01076 5.660966 30.33596 5.283934
[24,] 1.96831165 30.96631 5.661648 30.31918 5.295460
[25,] 2.29859163 30.91508 5.662508 30.30004 5.308927
[26,] 2.68429215 30.85493 5.662778 30.27832 5.324661
[27,] 3.13471267 30.78379 5.661802 30.25381 5.343045
[28,] 3.66071315 30.70202 5.661054 30.22585 5.364672
[29,] 4.27497577 30.61968 5.657037 30.19484 5.389928
[30,] 4.99231083 30.53095 5.651452 30.16083 5.419412
[31,] 5.83001371 30.43124 5.645716 30.12415 5.453820
[32,] 6.80828199 30.31921 5.639456 30.09848 5.501909
[33,] 7.95070234 30.18287 5.626361 30.04249 5.539491
[34,] 9.28481925 30.03263 5.613456 29.98350 5.583302
[35,] 10.84279914 29.92556 5.634055 29.92556 5.634055
[36,] 12.66220591 29.87427 5.692295 29.87427 5.692295
[37,] 14.78690664 29.81740 5.756452 29.81740 5.756452
[38,] 17.26812922 29.76109 5.821068 29.76109 5.821068
[39,] 20.16569754 29.72410 5.897599 29.72410 5.897599
[40,] 23.54947383 29.72020 5.988670 29.72020 5.988670
[41,] 27.50104313 29.76978 6.098403 29.76978 6.098403
[42,] 32.11568032 29.93925 6.228961 29.93925 6.228961
[43,] 37.50464727 30.32258 6.371707 30.32258 6.371707
[44,] 43.79787547 30.89948 6.550550 30.89948 6.550550
[45,] 51.14709869 31.83099 6.789201 31.83099 6.789201
[46,] 59.72951146 33.14047 7.134676 33.14047 7.134676
[47,] 69.75204128 34.93032 7.646339 34.93032 7.646339
[48,] 81.45633781 37.37598 8.407704 37.37598 8.407704
[49,] 95.12459919 39.47084 8.639792 39.47084 8.639792
[50,] 111.08637602 41.13182 8.598040 41.13182 8.598040
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