Ensemble partial least squares regression.
Usage
enpls.fit(
x,
y,
maxcomp = NULL,
cvfolds = 5L,
reptimes = 500L,
method = c("mc", "boot"),
ratio = 0.8,
parallel = 1L
)Arguments
- x
Predictor matrix.
- y
Response vector.
- maxcomp
Maximum number of components included within each model. If not specified, will use the maximum number possible (considering cross-validation and special cases where n is smaller than p).
- cvfolds
Number of cross-validation folds used in each model for automatic parameter selection, default is
5.- reptimes
Number of models to build with Monte-Carlo resampling or bootstrapping.
- method
Resampling method.
"mc"(Monte-Carlo resampling) or"boot"(bootstrapping). Default is"mc".- ratio
Sampling ratio used when
method = "mc".- parallel
Integer. Number of CPU cores to use. Default is
1(not parallelized).
Author
Nan Xiao <https://nanx.me>
Examples
data("alkanes")
x <- alkanes$x
y <- alkanes$y
set.seed(42)
fit <- enpls.fit(x, y, reptimes = 50)
print(fit)
#> Coefficients of the Models by Ensemble Partial Least Squares
#> ---
#> [,1] [,2] [,3] [,4] [,5]
#> (Intercept) 1.901653e-02 -7.461177e-02 0.1320574 0.105323 0.1189126
#> Chi.P.0 -5.302831e+02 -3.709869e+02 -852.3098957 68.358062 115.5502167
#> Chi.P.1 -9.877642e+02 -9.960761e+02 -1391.6437775 68.890118 124.8610935
#> Chi.P.2 3.344548e+03 3.392111e+03 4469.4736167 64.969199 84.1563591
#> Chi.P.3 2.250893e+03 1.993993e+03 2335.5658948 120.729705 399.2724789
#> Chi.P.4 -3.033318e+00 -3.401355e+00 -4.4700237 -11.705109 -6.1356472
#> Chi.P.5 4.320044e+02 3.237402e+02 425.8828099 52.259068 156.8700697
#> Chi.C.3 5.289307e+01 2.757648e+01 48.1259790 14.367189 34.1522027
#> Chi.PC.4 -2.427201e+02 -2.760505e+02 -256.4640646 -2.679697 6.0979538
#> Kappa.1 4.021214e+03 3.223933e+03 3323.0228511 18.537083 -120.2020096
#> Kappa.2 -1.007953e+03 -1.193883e+03 -1383.2809608 67.772246 170.0821127
#> Kappa.3 -3.481420e+03 -2.950207e+03 -3225.3498579 86.710334 54.4025624
#> Kappa.4 -5.171513e+02 -5.381593e+02 -809.0088168 69.178124 119.3115652
#> Estate.1 -8.626383e+00 -2.293245e+00 -56.1669690 -108.767493 -137.3001764
#> Estate.2 -6.626015e+01 -4.053109e+01 -18.9511325 86.858681 103.4123814
#> Estate.3 1.982168e+01 1.226001e+01 11.2770661 -14.105775 4.1117473
#> MEDV.11 -5.954853e+02 -4.625003e+02 -507.8391153 -26.291676 -32.0770690
#> MEDV.12 -1.913626e+03 -1.627944e+03 -1658.9580775 -107.150598 -229.1887505
#> MEDV.13 1.633341e+01 6.451224e+01 78.6593595 29.799666 -2.5664118
#> MEDV.22 -1.430168e+03 -1.059318e+03 -1136.3537020 83.880364 -414.7353433
#> MEDV.23 -4.781812e+01 -7.608106e+01 -59.3065681 -22.365890 -13.6481712
#> MEDV.33 -9.670372e+00 -1.087472e+01 -11.5639541 -3.741788 -2.2431504
#> [,6] [,7] [,8] [,9] [,10]
#> (Intercept) 0.03354563 0.2194680 0.1318238 -0.1238766 0.1189771
#> Chi.P.0 152.51594055 76.2935918 -271.6383930 135.8188842 142.4976552
#> Chi.P.1 157.89242030 74.1248488 -352.9291993 153.0419860 151.8363758
#> Chi.P.2 164.76123871 89.9017062 1888.5211733 102.7181907 134.7081058
#> Chi.P.3 311.43613429 98.4000481 1115.1708338 400.8698614 293.3837575
#> Chi.P.4 -7.43031099 -9.8787666 -1.5474236 -1.0265474 -2.6639509
#> Chi.P.5 51.24075372 33.5967080 212.3279392 187.4589817 110.5862322
#> Chi.C.3 5.22832172 6.8638503 24.5017035 45.5075439 24.1973044
#> Chi.PC.4 -62.58063876 -18.9893023 -117.5357430 38.1971340 0.4366064
#> Kappa.1 -93.20302840 35.5258531 1826.3209926 -161.6731757 -122.6809025
#> Kappa.2 190.78503248 68.0676573 -391.9388244 209.8760516 197.2229879
#> Kappa.3 161.84747905 130.0452396 -1576.3636661 21.7825866 85.6109132
#> Kappa.4 154.31480015 75.9118023 -164.2766380 143.4737835 147.6716998
#> Estate.1 -102.96442325 28.6773102 14.4900076 -170.1389760 -136.3029164
#> Estate.2 98.90967769 -0.1341941 -35.1055226 84.6676107 68.1925770
#> Estate.3 6.06652442 -11.6677688 11.9044063 6.7164854 4.3325010
#> MEDV.11 -54.85072713 -45.4088533 -304.3559067 -29.0869020 -44.7684618
#> MEDV.12 -263.09492589 -141.7695808 -1038.2345297 -228.8659600 -230.9087996
#> MEDV.13 43.32322414 26.8189406 38.1057912 -11.3640530 18.1967704
#> MEDV.22 -446.95596221 41.1833829 -887.7129591 -493.2372538 -413.3501953
#> MEDV.23 -74.10718236 -48.9844523 -75.0260196 -12.1986668 -52.5774055
#> MEDV.33 -6.43703011 -3.7809051 -7.9963561 -2.0160682 -4.5386650
#> [,11] [,12] [,13] [,14] [,15]
#> (Intercept) -7.643432e-02 0.051518 3.350597e-02 0.08848524 0.1284325
#> Chi.P.0 -4.116212e+02 146.268744 -3.435449e+02 127.99970884 -273.1087948
#> Chi.P.1 -7.236031e+02 154.901447 -8.154771e+02 138.59639383 -365.2667592
#> Chi.P.2 2.559073e+03 136.716347 3.007264e+03 137.91990555 1767.3773483
#> Chi.P.3 1.815325e+03 418.811367 2.000751e+03 288.06490943 1185.6428269
#> Chi.P.4 -4.476818e+00 -5.707532 -5.156540e+00 -5.33395282 -5.2439365
#> Chi.P.5 3.346375e+02 117.885176 3.823241e+02 134.38242799 233.2057308
#> Chi.C.3 3.912270e+01 15.290931 4.422413e+01 34.01411064 28.5858865
#> Chi.PC.4 -2.316692e+02 -28.684281 -2.278714e+02 29.39462668 -130.0577150
#> Kappa.1 2.872082e+03 -132.545491 3.634255e+03 -106.35470361 1566.4078526
#> Kappa.2 -7.856546e+02 201.890965 -1.080569e+03 185.05933052 -431.7394652
#> Kappa.3 -2.502155e+03 112.519798 -3.229675e+03 35.34741667 -1404.4409239
#> Kappa.4 -3.819997e+02 151.758179 -4.157862e+02 135.09796545 -224.4190382
#> Estate.1 -1.125852e+02 -29.764570 -5.722572e+01 -136.30243634 -117.4255687
#> Estate.2 3.495805e+01 56.027402 -1.381231e+01 79.63222542 39.8148369
#> Estate.3 1.241461e+01 13.298480 1.662167e+01 2.08002504 5.2295627
#> MEDV.11 -4.212482e+02 -48.284192 -5.166947e+02 -32.38769467 -257.2639863
#> MEDV.12 -1.463649e+03 -298.164431 -1.803602e+03 -213.55100205 -890.4181531
#> MEDV.13 4.219523e+01 3.442811 3.084466e+01 5.79929885 38.6255150
#> MEDV.22 -1.035321e+03 -568.830489 -1.233976e+03 -375.33599265 -712.2986375
#> MEDV.23 -5.808340e+01 -39.179169 -5.407151e+01 -22.60769702 -48.7117242
#> MEDV.33 -9.993100e+00 -3.168597 -9.068230e+00 -2.64988026 -7.0416908
#> [,16] [,17] [,18] [,19]
#> (Intercept) -4.991854e-02 2.601247e-02 -0.09039869 4.367108e-02
#> Chi.P.0 -4.341654e+02 -4.924402e+02 81.14663970 -2.574161e+02
#> Chi.P.1 -6.409553e+02 -4.526843e+02 83.60884568 -3.277260e+02
#> Chi.P.2 2.553823e+03 2.304648e+03 78.54165601 1.756612e+03
#> Chi.P.3 1.535934e+03 1.333460e+03 112.03394421 1.175520e+03
#> Chi.P.4 -5.022880e+00 -2.101812e+00 -9.36263740 -5.780914e+00
#> Chi.P.5 3.141161e+02 2.858129e+02 76.07400063 2.558095e+02
#> Chi.C.3 4.157769e+01 4.104962e+01 23.01252477 3.401404e+01
#> Chi.PC.4 -1.446678e+02 -1.121322e+02 24.29016951 -1.129551e+02
#> Kappa.1 2.247764e+03 1.646679e+03 -6.40544447 1.628363e+03
#> Kappa.2 -6.607715e+02 -5.340953e+02 93.87317748 -4.235058e+02
#> Kappa.3 -2.084942e+03 -1.606209e+03 58.51259336 -1.504202e+03
#> Kappa.4 -3.988112e+02 -3.842319e+02 82.73599653 -2.312067e+02
#> Estate.1 -6.575873e+01 -7.824256e+01 -136.68853849 -6.527305e+01
#> Estate.2 -5.145622e+00 1.153668e+01 82.16763336 2.975808e+01
#> Estate.3 1.070157e+01 1.037679e+01 -16.42751402 1.085370e+01
#> MEDV.11 -3.477124e+02 -2.828228e+02 -22.02353229 -2.641750e+02
#> MEDV.12 -1.217516e+03 -9.745938e+02 -106.22160136 -9.670463e+02
#> MEDV.13 3.597387e+01 3.976063e+01 24.73714010 2.644995e+01
#> MEDV.22 -9.124290e+02 -8.499219e+02 55.18230973 -7.856158e+02
#> MEDV.23 -4.586373e+01 -5.049032e+01 -19.48410665 -4.568809e+01
#> MEDV.33 -7.693331e+00 -7.341857e+00 -3.44978160 -6.629773e+00
#> [,20] [,21] [,22] [,23] [,24]
#> (Intercept) 0.07608963 0.1268432 0.2193043 0.03993086 0.1151202
#> Chi.P.0 136.08033371 -236.4872021 67.7959782 134.28750485 91.8060002
#> Chi.P.1 147.26849243 -362.1264647 68.2608239 140.64879459 94.7497266
#> Chi.P.2 149.39618041 1835.4143630 64.2853437 164.36365115 84.4482703
#> Chi.P.3 357.85502107 1271.8572746 107.7377268 260.46107677 146.8735044
#> Chi.P.4 -5.22634122 -6.2140466 -9.2262272 -3.87709224 -8.1861056
#> Chi.P.5 122.70761000 220.0952008 89.5731290 65.85116570 76.4464716
#> Chi.C.3 25.36761761 20.0352556 28.2279553 12.74770710 21.6824053
#> Chi.PC.4 -4.04971398 -179.2277456 29.2218421 -36.08435183 9.8269785
#> Kappa.1 -103.56169959 2729.8666625 6.5300863 -51.41224230 -13.1993236
#> Kappa.2 189.87780241 -614.0901053 71.2124482 166.71688018 106.4157248
#> Kappa.3 63.90513075 -2179.7361913 82.9243958 128.78420443 72.3294097
#> Kappa.4 144.62007947 -260.9007862 68.2855444 140.94835574 93.5582262
#> Estate.1 -127.12874248 30.3059763 -87.1064986 -102.34615252 -163.2721306
#> Estate.2 85.87107169 -57.7260112 96.1044043 94.40004540 86.6134875
#> Estate.3 5.51792525 1.6496075 -16.8461025 1.14322489 -15.1374987
#> MEDV.11 -41.87856637 -387.1453439 -34.4860228 -59.50219916 -27.1793205
#> MEDV.12 -252.40302893 -1311.9102489 -114.1362380 -245.94779139 -114.2633168
#> MEDV.13 11.74808487 29.4948141 28.0588315 43.55815423 26.6112658
#> MEDV.22 -448.28052723 -688.9737556 66.4605354 -343.25929022 26.0039382
#> MEDV.23 -35.19028342 -64.3410135 -37.2308140 -76.16638073 -27.6305916
#> MEDV.33 -3.54817693 -8.0855337 -4.5710165 -6.24786444 -3.7583425
#> [,25] [,26] [,27] [,28] [,29]
#> (Intercept) -5.375315e-02 -0.0449627 0.03942239 -3.752796e-02 -0.1994116
#> Chi.P.0 -1.670833e+02 146.4793729 114.72226632 -1.510953e+02 109.1627414
#> Chi.P.1 -4.532437e+02 158.4834983 123.50743419 -4.245698e+02 128.2261813
#> Chi.P.2 1.765803e+03 147.9203541 181.14999798 1.915456e+03 25.0600470
#> Chi.P.3 1.261962e+03 267.4913755 175.94274501 1.403486e+03 457.4328256
#> Chi.P.4 -6.106306e+00 -4.1527290 -11.35336397 -5.518653e+00 -4.9862781
#> Chi.P.5 2.375836e+02 118.8424075 68.75680634 2.556781e+02 211.2439748
#> Chi.C.3 2.425268e+01 32.9457368 13.65619640 2.614799e+01 46.7980473
#> Chi.PC.4 -1.542709e+02 25.1757332 7.51171960 -1.677435e+02 36.7668483
#> Kappa.1 1.910899e+03 -124.5072389 -19.41858108 2.533743e+03 -178.5083100
#> Kappa.2 -3.532323e+02 207.9404612 156.18365152 -5.249337e+02 175.7125712
#> Kappa.3 -1.648593e+03 57.6153248 48.78095331 -2.140056e+03 39.4844740
#> Kappa.4 -2.476681e+02 153.5139575 125.04458212 -1.317291e+02 116.0038207
#> Estate.1 -8.604113e+01 -135.2635859 -84.11353063 -7.889801e+01 -165.8274860
#> Estate.2 2.528057e+01 88.6586402 61.45326006 2.109762e+01 111.6618201
#> Estate.3 1.124319e+01 3.6644330 -0.20583020 1.384411e+01 4.9389289
#> MEDV.11 -3.013461e+02 -33.0503402 -40.71795309 -3.610983e+02 -17.9079383
#> MEDV.12 -1.058776e+03 -220.7011203 -211.53211454 -1.319715e+03 -202.5547298
#> MEDV.13 3.087850e+01 14.3895179 23.09839503 2.819285e+01 -25.6019070
#> MEDV.22 -8.796965e+02 -411.6846267 -254.34900979 -1.024807e+03 -434.9342519
#> MEDV.23 -5.343412e+01 -32.3829464 -34.58652188 -5.115407e+01 10.9854911
#> MEDV.33 -7.410050e+00 -3.3189365 -3.66737381 -7.907692e+00 -0.7316730
#> [,30] [,31] [,32] [,33]
#> (Intercept) 1.205334e-02 5.206024e-02 -4.029998e-02 8.297816e-02
#> Chi.P.0 -4.634144e+02 -5.330901e+02 -4.342028e+01 -3.882936e+02
#> Chi.P.1 -4.415865e+02 -9.738780e+02 -5.584459e+02 -1.038380e+03
#> Chi.P.2 2.144998e+03 3.433004e+03 1.896952e+03 3.721466e+03
#> Chi.P.3 1.306892e+03 1.850000e+03 1.280027e+03 2.429310e+03
#> Chi.P.4 -4.962519e+00 -3.853361e+00 -7.970297e+00 -4.122906e+00
#> Chi.P.5 2.707146e+02 3.313908e+02 2.645127e+02 4.529964e+02
#> Chi.C.3 3.897312e+01 3.648324e+01 3.500741e+01 5.180833e+01
#> Chi.PC.4 -1.224644e+02 -2.096124e+02 -1.359228e+02 -2.956173e+02
#> Kappa.1 1.936515e+03 2.542835e+03 1.779198e+03 4.286819e+03
#> Kappa.2 -4.595479e+02 -1.042065e+03 -5.175126e+02 -1.454575e+03
#> Kappa.3 -1.747948e+03 -2.409877e+03 -1.661253e+03 -3.902540e+03
#> Kappa.4 -3.482131e+02 -6.203178e+02 -3.063651e+02 -5.243137e+02
#> Estate.1 -9.431619e+01 1.130831e+01 -8.732116e+01 -3.850858e-01
#> Estate.2 2.884014e+01 -3.253993e+01 3.766083e+01 -7.734652e+01
#> Estate.3 8.134488e+00 1.051679e+01 1.389204e+01 2.340272e+01
#> MEDV.11 -3.091408e+02 -3.892365e+02 -3.039101e+02 -6.241240e+02
#> MEDV.12 -1.051120e+03 -1.363469e+03 -1.050406e+03 -2.101732e+03
#> MEDV.13 3.853810e+01 6.194110e+01 3.390729e+01 2.855113e+01
#> MEDV.22 -8.307962e+02 -1.007753e+03 -8.561366e+02 -1.448572e+03
#> MEDV.23 -4.587790e+01 -6.555470e+01 -5.249892e+01 -6.130511e+01
#> MEDV.33 -7.552957e+00 -1.001687e+01 -7.736238e+00 -1.041008e+01
#> [,34] [,35] [,36] [,37]
#> (Intercept) 0.02221307 -0.3743566 0.1868637 0.1816148
#> Chi.P.0 121.16337890 -168.1347140 98.2247544 -720.1937726
#> Chi.P.1 130.40375190 -204.5225018 97.6709673 -974.3077739
#> Chi.P.2 171.92842314 1510.6443630 109.7363999 3510.9894665
#> Chi.P.3 331.35543886 1115.0957904 111.4248478 2228.5777654
#> Chi.P.4 -6.74805243 3.8046037 -8.2033577 -7.6206994
#> Chi.P.5 77.70726546 208.1170949 22.3583753 412.7253829
#> Chi.C.3 14.39907636 24.0477014 4.9395397 44.2268910
#> Chi.PC.4 -46.49614954 -146.9644272 -26.6164129 -268.1127031
#> Kappa.1 -45.33624360 1735.0139499 11.0771130 4427.1500892
#> Kappa.2 153.99069737 -335.6724385 102.3780574 -1135.9936924
#> Kappa.3 100.08945981 -1491.8846153 111.7788657 -3817.0902260
#> Kappa.4 129.02591622 -219.1995442 98.8287649 -555.9617184
#> Estate.1 -111.88350870 -179.6770549 -152.9607189 27.3000461
#> Estate.2 94.03317072 96.3091709 100.7001979 -81.3413966
#> Estate.3 2.80217882 7.8257865 -13.9792355 13.3291088
#> MEDV.11 -53.24689114 -277.8874903 -35.6318866 -612.5467413
#> MEDV.12 -247.09542450 -975.9419476 -134.0221212 -2060.9465833
#> MEDV.13 32.06605113 53.3484174 50.8821432 27.0280334
#> MEDV.22 -386.38476179 -792.8119308 12.1947335 -1193.4903903
#> MEDV.23 -57.40787236 -74.0420858 -48.2582718 -48.3447863
#> MEDV.33 -5.01170623 -9.5648376 -5.7029333 -10.3127945
#> [,38] [,39] [,40] [,41]
#> (Intercept) 3.527491e-02 -9.760289e-02 7.941712e-02 4.096657e-02
#> Chi.P.0 -4.227759e+02 -3.978046e+02 -3.699562e+02 -3.074850e+02
#> Chi.P.1 -7.411680e+02 -5.925364e+02 -6.404063e+02 -5.835303e+02
#> Chi.P.2 2.648431e+03 2.376660e+03 2.701391e+03 2.163873e+03
#> Chi.P.3 1.667406e+03 1.424926e+03 1.851349e+03 1.420741e+03
#> Chi.P.4 -3.745816e+00 -5.903264e+00 -4.665849e+00 -6.401683e+00
#> Chi.P.5 3.241965e+02 2.690080e+02 3.650541e+02 2.994062e+02
#> Chi.C.3 3.922324e+01 2.994118e+01 4.572809e+01 3.840665e+01
#> Chi.PC.4 -1.819579e+02 -1.541339e+02 -1.934229e+02 -1.366766e+02
#> Kappa.1 2.746699e+03 2.000935e+03 3.461368e+03 1.845280e+03
#> Kappa.2 -7.207625e+02 -5.890575e+02 -8.406933e+02 -4.887910e+02
#> Kappa.3 -2.461550e+03 -1.835095e+03 -2.985926e+03 -1.684616e+03
#> Kappa.4 -3.841057e+02 -3.870069e+02 -4.248117e+02 -4.659561e+02
#> Estate.1 -9.878443e+01 -9.659795e+01 -6.338571e+01 -3.423596e+01
#> Estate.2 3.133129e+01 3.518980e+01 -1.041128e+01 3.336558e+00
#> Estate.3 1.206619e+01 8.475695e+00 1.516486e+01 1.016640e+01
#> MEDV.11 -4.092655e+02 -2.997993e+02 -4.948313e+02 -2.934326e+02
#> MEDV.12 -1.408074e+03 -1.087670e+03 -1.649829e+03 -1.036457e+03
#> MEDV.13 4.338935e+01 4.524277e+01 1.994096e+01 2.148198e+01
#> MEDV.22 -1.019764e+03 -8.419985e+02 -1.228476e+03 -8.738762e+02
#> MEDV.23 -5.230722e+01 -4.727508e+01 -4.633638e+01 -3.651183e+01
#> MEDV.33 -9.542370e+00 -8.082226e+00 -8.223452e+00 -6.552248e+00
#> [,42] [,43] [,44] [,45] [,46]
#> (Intercept) 0.1216031 0.1317013 -0.03903687 -0.2069613 -0.04212005
#> Chi.P.0 -554.0727982 83.5302097 132.25660174 142.9079058 97.51323356
#> Chi.P.1 -1241.8190187 85.6522088 144.41968017 159.9175489 99.76738189
#> Chi.P.2 3811.3298809 80.7597311 103.71176709 91.3980818 92.53738158
#> Chi.P.3 2435.1196003 119.4689328 441.18333554 417.9325318 155.35375943
#> Chi.P.4 -6.0030112 -9.4376675 -8.10261829 -4.9608351 -7.02285328
#> Chi.P.5 475.1913451 70.5039245 114.99666033 128.6302818 53.67556282
#> Chi.C.3 56.0185456 23.1213803 16.47948997 22.6782570 12.44743781
#> Chi.PC.4 -260.1232103 13.2975313 -57.62289244 -21.7414287 -16.84900405
#> Kappa.1 4120.2977843 -3.9165062 -112.36741599 -147.1000565 -5.03928700
#> Kappa.2 -1258.4294538 93.1247361 179.74741977 203.5065532 108.43190729
#> Kappa.3 -3700.6441225 74.7131076 132.73316701 101.7659487 94.33536614
#> Kappa.4 -680.1030934 85.0561485 138.85943539 149.6674688 99.01366891
#> Estate.1 60.0984941 -166.5700152 -134.22408269 -155.4289264 -216.48099919
#> Estate.2 -67.5647734 112.7460363 119.06546398 131.3166826 155.21405035
#> Estate.3 19.9436698 -16.4353437 7.59081245 7.1592941 -13.97428918
#> MEDV.11 -575.8218639 -28.9239577 -46.69862600 -29.6025572 -29.57000136
#> MEDV.12 -2021.9304587 -113.2813889 -268.15892749 -224.9202971 -124.18715546
#> MEDV.13 20.4292162 34.7142759 24.44193465 12.4432428 53.18429378
#> MEDV.22 -1404.1473508 41.5492946 -482.28858016 -485.6606308 1.41904679
#> MEDV.23 -42.6534448 -32.1349590 -53.97834632 -26.1504743 -47.62323967
#> MEDV.33 -9.6933299 -4.3007451 -4.92915602 -3.4507635 -5.95598909
#> [,47] [,48] [,49] [,50]
#> (Intercept) 0.117542 0.2551899 -0.04864663 0.1748471
#> Chi.P.0 74.953564 60.0169813 122.49471068 149.1347606
#> Chi.P.1 74.798386 60.5046895 133.50509818 161.6015884
#> Chi.P.2 74.630060 60.0919291 96.32767441 155.4413408
#> Chi.P.3 106.962955 66.3098471 368.05040339 264.2659001
#> Chi.P.4 -12.217467 -8.0551736 -10.32921455 -4.5268018
#> Chi.P.5 45.973672 101.8648266 152.41618787 80.6692679
#> Chi.C.3 13.648245 31.3234341 35.67606030 15.1490422
#> Chi.PC.4 -6.070574 59.4203671 19.68266305 -10.5927961
#> Kappa.1 22.717928 1.3029197 -118.48230022 -98.1162282
#> Kappa.2 74.651180 65.5196268 176.30429739 201.9939400
#> Kappa.3 96.928180 57.1304842 44.81877690 83.1975941
#> Kappa.4 75.133121 60.6115372 128.79186017 157.6030483
#> Estate.1 -96.265517 -11.7552481 -157.38589996 -131.4041603
#> Estate.2 69.390787 29.4843640 109.41577468 88.3252735
#> Estate.3 -14.139688 -17.7399959 4.41274924 2.8043367
#> MEDV.11 -28.137706 -30.6633977 -28.25917074 -35.1421234
#> MEDV.12 -111.338575 -102.2684501 -222.79338286 -218.2584888
#> MEDV.13 31.515504 7.3295627 -3.17075462 24.7310368
#> MEDV.22 91.200513 92.4487648 -400.71699241 -398.5926321
#> MEDV.23 -27.640650 -22.0163460 -8.33051684 -40.4245643
#> MEDV.33 -3.902694 -2.3021959 -1.94837121 -4.9165147
predict(fit, newx = x)
#> [1] -2126.5311149 -2113.0093937 -1927.1295697 -1916.2804337 -1727.1257914
#> [6] -1717.2861309 -1526.7736460 -1517.4430975 -1326.3146437 -1317.1910812
#> [11] -1126.0258379 -1117.0438757 -1152.3975759 -925.8548082 -916.9989473
#> [16] -954.1374578 -725.7659218 -716.9434414 -755.6424904 -525.7590496
#> [21] -517.1505849 -556.8416774 -326.0251851 -317.2390446 -358.0961928
#> [26] -126.3457723 -117.6196787 -159.3368486 73.2671789 81.9582476
#> [31] 68.2290319 58.7176607 52.4873494 48.9405839 40.1698496
#> [36] 39.5149932 272.8277268 281.5151093 267.8361441 258.2372266
#> [41] 251.9653404 239.4227669 238.3654502 472.3130087 481.0699828
#> [46] 437.1884684 -682.5094818 -608.1175625 -484.6798508 -484.3143131
#> [51] -508.3176221 -505.3749894 -520.2682549 -385.5998415 -397.4439854
#> [56] -408.4523457 -416.1592035 -420.4766160 -281.4831352 -286.1063903
#> [61] -309.2137607 -308.3213818 -301.3503366 -320.1517588 -185.9565051
#> [66] -195.1106277 -198.7931094 -209.8496502 -219.9637066 -81.9124664
#> [71] -87.2036280 -110.5932894 -108.9750042 -119.9249612 13.6476094
#> [76] 4.3117217 2.5946491 18.1035220 0.5851557 -17.6388530
#> [81] 117.6039740 111.9434372 111.4492271 88.5420984 88.2353049
#> [86] 77.1328057 73.1799456 207.1877133 201.0384884 181.6989939
#> [91] 173.3376435 174.8722633 165.2800101 314.5310378 310.4992541
#> [96] 287.0201457 287.3510251 277.2610142 272.4059470 403.2120572
#> [101] 396.4112736 381.0383589 372.5500114 369.5983754 364.1443016
#> [106] 516.5316903 509.6152424 488.2655674 486.0172123 476.1631999
#> [111] 471.7934591 600.6166529 585.7038417 567.3884202 708.7957250
#> [116] 687.7425623 685.0436497 667.1045429 784.7919483 -567.7315248
#> [121] -479.6098697 -369.2487971 -253.1174236 -170.8220567 -54.8236146
#> [126] -84.0919337 8.9308102 145.1456488 114.2970928 104.2542687
#> [131] 94.5219366 229.0643266 223.3487825 206.8911548 192.5342649
#> [136] 345.1790929 312.6753527 302.1940665 292.1412858 428.0533607
#> [141] 426.9877038 405.1950674 397.4111318 390.0165622 544.2987487
#> [146] 514.4917053 501.0570061 488.5117777 491.8639636 627.1276743
#> [151] 596.2499814 586.9544253 743.3819695 710.2080283 702.3023194
#> [156] 685.8241370 784.5182155 908.9330637 883.6716410 983.0990826
#> [161] -28.4165088 169.0372926 152.5673765 368.6349914 351.6020516
#> [166] 567.6171550 525.1185800 518.3042363 517.9979174 632.6161648
#> [171] 620.4427871 615.5397536 766.5900204 723.4222502 716.2633675
#> [176] 714.9335090 813.3049698 -340.6341624 -150.8368988 -917.2043616
#> [181] -683.6380166 -481.0675768 -508.8049655 -398.1200985 -414.9297846
#> [186] -309.3802100 -321.2695870 -328.2182144 -197.9164950 -110.0036170
#> [191] 79.2609847 74.3714838 203.7678983 401.2795480 380.9431320
#> [196] -251.5274498 -166.1719643 -100.6229019 116.3040612 103.4325476
#> [201] 97.1834530 320.0317613 302.5906622 295.4300953 406.5668699
#> [206] 406.0812741 392.4233534