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]
#> (Intercept) 1.246444e-02 -7.838445e-02 0.1316595 6.878848e-02
#> Chi.P.0 -3.970674e+02 -4.357396e+02 -691.3940195 -3.602751e+02
#> Chi.P.1 -7.593150e+02 -1.141336e+03 -1140.1003915 -5.130676e+02
#> Chi.P.2 2.687687e+03 3.807994e+03 3748.6881240 2.059388e+03
#> Chi.P.3 1.882890e+03 2.207855e+03 2008.2990357 1.437531e+03
#> Chi.P.4 -3.388155e+00 -3.027612e+00 -4.6614957 -8.653080e+00
#> Chi.P.5 3.772035e+02 3.544087e+02 375.2991534 2.652187e+02
#> Chi.C.3 4.953426e+01 2.936776e+01 44.3520782 2.936431e+01
#> Chi.PC.4 -1.931512e+02 -3.072224e+02 -216.6789119 -1.957108e+02
#> Kappa.1 3.178545e+03 3.646449e+03 2756.1404443 2.864882e+03
#> Kappa.2 -7.661953e+02 -1.368677e+03 -1127.1193547 -6.358414e+02
#> Kappa.3 -2.763624e+03 -3.341173e+03 -2675.6013255 -2.393720e+03
#> Kappa.4 -3.849355e+02 -6.247577e+02 -654.2501987 -3.045489e+02
#> Estate.1 -3.552818e+01 9.023558e+00 -67.7284861 -4.394761e+01
#> Estate.2 -3.318723e+01 -5.575609e+01 1.3683861 1.323503e+01
#> Estate.3 1.750400e+01 1.316610e+01 9.9482915 5.877328e+00
#> MEDV.11 -4.823338e+02 -5.157654e+02 -431.1275335 -4.194952e+02
#> MEDV.12 -1.574018e+03 -1.804298e+03 -1422.9805048 -1.351944e+03
#> MEDV.13 1.242545e+01 6.964565e+01 68.4026267 3.179590e+01
#> MEDV.22 -1.242084e+03 -1.144172e+03 -1013.8763021 -8.034431e+02
#> MEDV.23 -4.261937e+01 -7.907592e+01 -56.3412139 -4.544440e+01
#> MEDV.33 -8.265327e+00 -1.169523e+01 -10.3438058 -8.778274e+00
#> [,5] [,6] [,7] [,8] [,9]
#> (Intercept) 0.1192686 0.03344926 0.21944264 0.1314681 -0.1235074
#> Chi.P.0 114.9443922 151.39081547 76.27238019 -240.2842370 136.2259522
#> Chi.P.1 125.5702331 156.49497768 74.10594136 -314.3791562 153.6673011
#> Chi.P.2 73.0142577 165.13287439 89.85345352 1754.4396814 98.3187971
#> Chi.P.3 405.5696834 316.55109345 98.35577626 1053.9047114 400.8124703
#> Chi.P.4 -6.1806747 -7.43198675 -9.88013951 -1.7153048 -1.0490295
#> Chi.P.5 151.3050887 53.18949975 33.64550622 205.3901684 185.5666573
#> Chi.C.3 31.8669841 5.61534624 6.88438491 24.6064764 44.8021383
#> Chi.PC.4 -3.4242247 -62.62347203 -18.92282780 -108.2810689 35.9479444
#> Kappa.1 -124.3226002 -92.83424253 35.49558819 1677.7447439 -165.4503200
#> Kappa.2 167.8271220 189.40945302 68.05805101 -347.2420950 210.0609736
#> Kappa.3 72.4517388 159.74215145 129.96585135 -1448.4760767 28.7696114
#> Kappa.4 119.2458271 152.85626389 75.89113737 -140.4589742 143.9957352
#> Estate.1 -133.7334943 -103.70780084 28.53493470 8.6757449 -169.5197610
#> Estate.2 104.8269219 99.62912201 -0.06672675 -27.9466777 85.3056800
#> Estate.3 3.9226254 6.12943382 -11.67554659 11.4841152 6.6412900
#> MEDV.11 -32.4282415 -54.73502499 -45.37809784 -284.6735242 -28.8282140
#> MEDV.12 -226.5718202 -263.52637925 -141.68720462 -977.5534500 -227.0272720
#> MEDV.13 -0.3000575 42.75351366 26.80771649 35.9614527 -10.6572758
#> MEDV.22 -407.6313928 -448.38276750 41.32777313 -854.6368553 -490.4915757
#> MEDV.23 -16.7949702 -73.40319374 -48.94258919 -72.7726511 -13.0687115
#> MEDV.33 -2.4328116 -6.40314188 -3.77969804 -7.6718770 -2.0709181
#> [,10] [,11] [,12] [,13]
#> (Intercept) 0.0952299 -7.533035e-02 2.726087e-02 3.802585e-02
#> Chi.P.0 -186.2134302 -4.633889e+02 -3.538618e+02 -3.063640e+02
#> Chi.P.1 -620.0046220 -8.072891e+02 -8.154466e+02 -7.408477e+02
#> Chi.P.2 2269.7060178 2.802732e+03 2.949372e+03 2.782580e+03
#> Chi.P.3 1305.5290186 1.949994e+03 1.812270e+03 1.874588e+03
#> Chi.P.4 -1.4658141 -4.224059e+00 -3.994658e+00 -5.215591e+00
#> Chi.P.5 263.4342742 3.533711e+02 3.357021e+02 3.627524e+02
#> Chi.C.3 34.5482525 4.004019e+01 3.298974e+01 4.285496e+01
#> Chi.PC.4 -133.6619962 -2.522639e+02 -2.046604e+02 -2.107894e+02
#> Kappa.1 1871.6456449 3.165754e+03 2.673910e+03 3.342556e+03
#> Kappa.2 -569.2174595 -8.790804e+02 -9.191529e+02 -9.822002e+02
#> Kappa.3 -1787.3837963 -2.755595e+03 -2.488446e+03 -2.972810e+03
#> Kappa.4 -414.7121909 -4.316163e+02 -4.448586e+02 -3.725222e+02
#> Estate.1 -91.9704597 -1.060894e+02 3.486721e+01 -6.444907e+01
#> Estate.2 2.2557378 2.546077e+01 -4.559803e+01 -4.233085e+00
#> Estate.3 8.2750120 1.305269e+01 1.802437e+01 1.595633e+01
#> MEDV.11 -308.6363838 -4.593386e+02 -4.073214e+02 -4.795827e+02
#> MEDV.12 -1050.7151125 -1.585065e+03 -1.466473e+03 -1.682701e+03
#> MEDV.13 47.7989661 4.542462e+01 3.386146e+01 2.952771e+01
#> MEDV.22 -811.3878203 -1.095467e+03 -1.120130e+03 -1.173663e+03
#> MEDV.23 -62.0031799 -6.104439e+01 -5.158575e+01 -5.283413e+01
#> MEDV.33 -8.3058078 -1.059688e+01 -8.342981e+00 -8.667960e+00
#> [,14] [,15] [,16] [,17]
#> (Intercept) 0.08805267 0.1311924 -5.291843e-02 2.467607e-02
#> Chi.P.0 128.73416209 -498.4958246 -5.298792e+02 -3.478092e+02
#> Chi.P.1 139.31472219 -648.5146975 -7.734374e+02 -3.136307e+02
#> Chi.P.2 138.46255953 2687.6633031 2.963036e+03 1.805095e+03
#> Chi.P.3 284.51738524 1665.2279359 1.738952e+03 1.103782e+03
#> Chi.P.4 -5.32622809 -4.7605938 -4.851129e+00 -2.242400e+00
#> Chi.P.5 132.97884367 298.5242595 3.454661e+02 2.507446e+02
#> Chi.C.3 33.69798165 31.2926561 4.387881e+01 3.861590e+01
#> Chi.PC.4 29.46008523 -200.2172196 -1.700069e+02 -8.397451e+01
#> Kappa.1 -106.56188705 2500.3540664 2.647402e+03 1.236983e+03
#> Kappa.2 185.71691987 -773.0577857 -8.043688e+02 -3.659646e+02
#> Kappa.3 36.56160928 -2230.8755424 -2.449748e+03 -1.219634e+03
#> Kappa.4 135.80436449 -426.4317101 -4.897427e+02 -2.624760e+02
#> Estate.1 -136.00640946 -92.6959258 -5.725439e+01 -8.777946e+01
#> Estate.2 79.44125554 6.8494772 -1.904631e+01 2.660165e+01
#> Estate.3 2.03106212 7.5234657 1.162960e+01 9.359179e+00
#> MEDV.11 -32.48020250 -382.6310569 -3.999401e+02 -2.271922e+02
#> MEDV.12 -213.23097763 -1276.0660551 -1.383241e+03 -8.036686e+02
#> MEDV.13 6.29646290 51.4445673 4.052299e+01 3.286213e+01
#> MEDV.22 -374.17098451 -914.2702081 -9.958034e+02 -7.587489e+02
#> MEDV.23 -23.12017855 -57.6622910 -4.784982e+01 -4.832512e+01
#> MEDV.33 -2.68142917 -8.9018915 -8.411920e+00 -6.506073e+00
#> [,18] [,19] [,20] [,21]
#> (Intercept) -0.09040048 4.156524e-02 6.395476e-02 0.1223034
#> Chi.P.0 81.14481680 -2.854488e+02 -3.653410e+02 -290.7849931
#> Chi.P.1 83.60685082 -3.618192e+02 -4.956725e+02 -437.2478134
#> Chi.P.2 78.54002179 1.875427e+03 2.202052e+03 2115.3888038
#> Chi.P.3 112.03020721 1.235178e+03 1.391329e+03 1445.7062184
#> Chi.P.4 -9.36274629 -5.713304e+00 -3.787116e+00 -5.8948787
#> Chi.P.5 76.07556024 2.649673e+02 2.772492e+02 246.4588772
#> Chi.C.3 23.01333385 3.464507e+01 3.545692e+01 21.8569469
#> Chi.PC.4 24.29276082 -1.209906e+02 -1.421121e+02 -203.9326299
#> Kappa.1 -6.40462929 1.754698e+03 2.024447e+03 3171.2612444
#> Kappa.2 93.87070912 -4.676859e+02 -5.910617e+02 -731.2439522
#> Kappa.3 58.51252928 -1.619529e+03 -1.853187e+03 -2550.7430077
#> Kappa.4 82.73408489 -2.578726e+02 -2.795108e+02 -319.4767922
#> Estate.1 -136.67827755 -6.285670e+01 -8.258845e+01 42.6330798
#> Estate.2 82.16359717 2.580002e+01 1.406891e+01 -72.8386840
#> Estate.3 -16.42761494 1.114580e+01 9.022463e+00 2.9006126
#> MEDV.11 -22.02376396 -2.801039e+02 -3.212965e+02 -442.6971372
#> MEDV.12 -106.22127940 -1.018394e+03 -1.128810e+03 -1494.8166802
#> MEDV.13 24.73580106 2.768341e+01 3.704400e+01 30.0241274
#> MEDV.22 55.18581116 -8.105922e+02 -8.660804e+02 -783.7200263
#> MEDV.23 -19.48365509 -4.620548e+01 -4.819595e+01 -67.1022418
#> MEDV.33 -3.44968017 -6.847212e+00 -7.600378e+00 -8.7449426
#> [,22] [,23] [,24] [,25] [,26]
#> (Intercept) 0.2193084 -2.348773e-02 0.1151192 -5.632583e-02 -0.04497163
#> Chi.P.0 67.7965837 -6.297741e+02 91.8073514 -2.093525e+02 146.52635231
#> Chi.P.1 68.2614215 -7.493253e+02 94.7512390 -5.360753e+02 158.54749398
#> Chi.P.2 64.2857629 3.144416e+03 84.4490981 1.989834e+03 147.99367308
#> Chi.P.3 107.7409256 1.651824e+03 146.8778113 1.381773e+03 267.65775917
#> Chi.P.4 -9.2261412 -1.582243e+00 -8.1860462 -5.933891e+00 -4.14951272
#> Chi.P.5 89.5724744 2.743289e+02 76.4454591 2.559710e+02 119.03126531
#> Chi.C.3 28.2276078 2.679225e+01 21.6817403 2.555790e+01 33.00245787
#> Chi.PC.4 29.2196878 -2.137538e+02 9.8249597 -1.704542e+02 25.32410475
#> Kappa.1 6.5303632 2.651939e+03 -13.2005713 2.187942e+03 -124.69942602
#> Kappa.2 71.2128622 -9.453564e+02 106.4176679 -4.282600e+02 208.07832694
#> Kappa.3 82.9266422 -2.391648e+03 72.3295896 -1.888850e+03 57.42340455
#> Kappa.4 68.2861453 -4.580112e+02 93.5596495 -3.018673e+02 153.57106033
#> Estate.1 -87.1144737 -5.273535e+01 -163.2770902 -8.004661e+01 -135.30099275
#> Estate.2 96.1113145 -3.972464e+00 86.6142855 1.636663e+01 88.64498788
#> Estate.3 -16.8460972 5.575601e+00 -15.1373430 1.185360e+01 3.69014729
#> MEDV.11 -34.4868838 -4.154152e+02 -27.1789639 -3.365432e+02 -33.03368303
#> MEDV.12 -114.1375195 -1.352071e+03 -114.2637591 -1.169266e+03 -220.81125268
#> MEDV.13 28.0609361 8.332264e+01 26.6114839 3.278048e+01 14.31650471
#> MEDV.22 66.4576815 -8.674400e+02 25.9998593 -9.352758e+02 -412.27077533
#> MEDV.23 -37.2330913 -9.178154e+01 -27.6302943 -5.457739e+01 -32.31941360
#> MEDV.33 -4.5712266 -1.192587e+01 -3.7583478 -7.849656e+00 -3.31414543
#> [,27] [,28] [,29] [,30]
#> (Intercept) 0.04374562 2.912022e-03 -0.1993842 -0.02620609
#> Chi.P.0 120.99257748 1.486671e+02 109.2323355 88.91734140
#> Chi.P.1 126.59878191 1.605912e+02 128.3081845 91.46501548
#> Chi.P.2 182.33245864 1.531265e+02 25.0674224 87.68118906
#> Chi.P.3 88.57933599 3.682129e+02 457.8455729 120.11536340
#> Chi.P.4 -11.66968878 -6.457610e+00 -4.9815825 -9.98542179
#> Chi.P.5 46.06718203 1.007879e+02 211.2596252 66.87397549
#> Chi.C.3 10.63040098 1.733023e+01 46.7806100 22.14778274
#> Chi.PC.4 18.13267882 -2.679118e+01 36.6356509 13.24319209
#> Kappa.1 -13.61746075 -1.103985e+02 -178.6294590 -8.12914013
#> Kappa.2 154.84130646 2.059184e+02 175.8167778 102.14731202
#> Kappa.3 59.91772298 9.101820e+01 39.6172467 66.64755179
#> Kappa.4 128.49952344 1.564359e+02 116.0767308 90.62843095
#> Estate.1 -80.78795059 -1.362215e+02 -165.7939866 -164.10211910
#> Estate.2 53.50338296 1.081021e+02 111.6772345 103.95835390
#> Estate.3 -3.50380851 7.307871e+00 4.9688522 -15.56017605
#> MEDV.11 -38.09382970 -3.738746e+01 -17.9420371 -23.31073532
#> MEDV.12 -186.75086737 -2.524439e+02 -202.7379850 -109.44608726
#> MEDV.13 29.37254346 2.071394e+01 -25.5943339 31.42631050
#> MEDV.22 -173.75933157 -4.784486e+02 -435.5795908 35.92312147
#> MEDV.23 -36.84290509 -3.755483e+01 10.9301518 -23.97873597
#> MEDV.33 -3.84610436 -3.909744e+00 -0.7342638 -3.87731991
#> [,31] [,32] [,33] [,34] [,35]
#> (Intercept) 5.285207e-02 -4.087657e-02 8.235517e-02 0.0207164 -0.3892758
#> Chi.P.0 -1.121228e+03 -6.029116e+01 -3.664867e+02 119.0605638 143.1113050
#> Chi.P.1 -1.446561e+03 -6.249427e+02 -9.892404e+02 127.8788269 157.2042594
#> Chi.P.2 5.095428e+03 2.066337e+03 3.572337e+03 195.6664038 128.3042790
#> Chi.P.3 2.068007e+03 1.366312e+03 2.345598e+03 331.4797088 369.8712960
#> Chi.P.4 -4.374757e+00 -7.838732e+00 -4.255981e+00 -6.6379382 2.5003578
#> Chi.P.5 3.811741e+02 2.780290e+02 4.409144e+02 76.3535055 97.4749519
#> Chi.C.3 4.532302e+01 3.604576e+01 5.111362e+01 13.9988966 16.7430154
#> Chi.PC.4 -1.762346e+02 -1.472494e+02 -2.827972e+02 -46.2926540 -39.5671078
#> Kappa.1 1.184811e+03 1.960505e+03 4.103426e+03 -28.7161438 -113.1404551
#> Kappa.2 -1.303199e+03 -5.843606e+02 -1.386131e+03 150.5706625 197.0039194
#> Kappa.3 -1.741210e+03 -1.828659e+03 -3.738645e+03 84.4559573 97.6262886
#> Kappa.4 -1.358525e+03 -3.485870e+02 -4.966196e+02 127.6017851 150.9941559
#> Estate.1 -2.722104e+00 -8.363172e+01 -4.681820e+00 -110.8426938 -219.1124706
#> Estate.2 -2.209334e+01 3.189150e+01 -7.154599e+01 91.8425026 155.8298603
#> Estate.3 7.629877e+00 1.423729e+01 2.295319e+01 2.9908851 5.1810807
#> MEDV.11 -2.419671e+02 -3.284120e+02 -6.000753e+02 -56.0342439 -45.7786176
#> MEDV.12 -8.986966e+02 -1.125750e+03 -2.026022e+03 -255.4171078 -245.4227736
#> MEDV.13 1.116011e+02 3.573229e+01 2.700536e+01 33.1704841 41.5642317
#> MEDV.22 -7.894123e+02 -8.918826e+02 -1.410820e+03 -393.8915983 -460.4394660
#> MEDV.23 -5.399647e+01 -5.297287e+01 -5.992552e+01 -58.7414481 -64.4120936
#> MEDV.33 -9.563163e+00 -8.050611e+00 -1.008338e+01 -5.1038917 -6.5282383
#> [,36] [,37] [,38] [,39]
#> (Intercept) 0.180130 0.1747782 3.223681e-02 -9.686307e-02
#> Chi.P.0 -454.757890 -575.4021338 -4.960514e+02 -2.702114e+02
#> Chi.P.1 -1002.008056 -782.2569890 -8.580990e+02 -4.156535e+02
#> Chi.P.2 3317.996049 2898.9118310 2.984437e+03 1.833811e+03
#> Chi.P.3 1428.183150 1887.0164603 1.839520e+03 1.162487e+03
#> Chi.P.4 -4.218798 -8.1714570 -3.623802e+00 -6.131265e+00
#> Chi.P.5 238.546092 362.5424797 3.506188e+02 2.284663e+02
#> Chi.C.3 23.417402 41.4856285 4.103791e+01 2.709905e+01
#> Chi.PC.4 -160.330305 -218.5644523 -2.047444e+02 -1.219355e+02
#> Kappa.1 1378.420491 3626.1226005 3.126343e+03 1.493795e+03
#> Kappa.2 -871.074550 -910.0871115 -8.407136e+02 -4.039880e+02
#> Kappa.3 -1605.807174 -3125.8585552 -2.798602e+03 -1.370172e+03
#> Kappa.4 -699.194412 -439.0422331 -4.532499e+02 -2.605861e+02
#> Estate.1 -75.188117 8.1454541 -9.130401e+01 -1.091252e+02
#> Estate.2 26.948293 -55.7209225 1.896848e+01 5.426602e+01
#> Estate.3 5.025732 11.2471358 1.289005e+01 7.215722e+00
#> MEDV.11 -265.018981 -509.3785158 -4.581410e+02 -2.360206e+02
#> MEDV.12 -906.926503 -1729.9087986 -1.562400e+03 -8.787567e+02
#> MEDV.13 107.281786 21.7718813 4.681130e+01 3.949740e+01
#> MEDV.22 -666.599985 -1027.6895768 -1.095979e+03 -7.322395e+02
#> MEDV.23 -74.982737 -42.6892002 -5.413007e+01 -4.485792e+01
#> MEDV.33 -10.487102 -8.9081547 -1.022301e+01 -7.149544e+00
#> [,40] [,41] [,42] [,43]
#> (Intercept) 8.230512e-02 4.801751e-02 0.1191981 0.1317047
#> Chi.P.0 -2.360277e+02 -5.201022e+02 -520.8814465 83.5326356
#> Chi.P.1 -4.317225e+02 -9.403190e+02 -1173.5491430 85.6547918
#> Chi.P.2 2.017850e+03 3.196718e+03 3623.4482082 80.7620107
#> Chi.P.3 1.452862e+03 1.939346e+03 2335.9135471 119.4739387
#> Chi.P.4 -4.913138e+00 -5.820418e+00 -6.0823712 -9.4373810
#> Chi.P.5 3.040830e+02 3.739852e+02 460.0400652 70.5019007
#> Chi.C.3 4.159134e+01 4.234345e+01 54.9779923 23.1205059
#> Chi.PC.4 -1.397978e+02 -2.091701e+02 -247.0420518 13.2936593
#> Kappa.1 2.512855e+03 2.835215e+03 3906.5217998 -3.9170264
#> Kappa.2 -5.679603e+02 -8.192789e+02 -1187.1982216 93.1275808
#> Kappa.3 -2.178895e+03 -2.567306e+03 -3511.1222236 74.7151564
#> Kappa.4 -2.746432e+02 -7.606963e+02 -640.2636763 85.0586715
#> Estate.1 -8.738426e+01 -6.214043e+00 53.0199628 -166.5871045
#> Estate.2 2.087682e+01 -3.604692e+01 -59.1987760 112.7558623
#> Estate.3 1.260388e+01 1.267503e+01 19.4082327 -16.4353026
#> MEDV.11 -3.731358e+02 -4.224191e+02 -548.6770470 -28.9246852
#> MEDV.12 -1.271655e+03 -1.440250e+03 -1932.9171940 -113.2827815
#> MEDV.13 1.711199e+01 3.464231e+01 18.9475056 34.7176976
#> MEDV.22 -1.018641e+03 -1.088777e+03 -1358.1823678 41.5437637
#> MEDV.23 -4.175767e+01 -4.452709e+01 -41.4762992 -32.1378996
#> MEDV.33 -6.924897e+00 -8.623157e+00 -9.3478123 -4.3010588
#> [,44] [,45] [,46] [,47] [,48]
#> (Intercept) -0.03908469 -0.2069478 -0.04211695 0.1175324 0.2551903
#> Chi.P.0 132.21311716 142.4009335 97.51169123 74.9575665 60.0170126
#> Chi.P.1 144.36051640 159.4238786 99.76574836 74.8023321 60.5047190
#> Chi.P.2 103.66701406 90.1843563 92.53607763 74.6339771 60.0919640
#> Chi.P.3 440.88280955 418.5968720 155.35012786 106.9724734 66.3098689
#> Chi.P.4 -8.10464618 -4.9818489 -7.02302825 -12.2173056 -8.0551176
#> Chi.P.5 114.80375273 129.1254892 53.67733664 45.9639923 101.8651486
#> Chi.C.3 16.43237591 22.8122938 12.44823446 13.6443754 31.3235903
#> Chi.PC.4 -57.72797804 -21.6599247 -16.84616606 -6.0832435 59.4204346
#> Kappa.1 -112.16912361 -147.3979927 -5.03886120 22.7216847 1.3029410
#> Kappa.2 179.61674470 202.8993556 108.43006643 74.6542267 65.5196440
#> Kappa.3 132.89179056 101.8846312 94.33425016 96.9358951 57.1306256
#> Kappa.4 138.80759830 149.1680679 99.01208108 75.1370811 60.6115682
#> Estate.1 -134.18779605 -155.7463835 -216.47287784 -96.2872156 -11.7556172
#> Estate.2 119.05757044 131.6185575 155.21017579 69.4014499 29.4842088
#> Estate.3 7.56165528 7.0887313 -13.97436636 -14.1398658 -17.7400162
#> MEDV.11 -46.70643883 -29.4044529 -29.56991555 -28.1388076 -30.6636088
#> MEDV.12 -268.01018090 -224.2267230 -124.18656476 -111.3402733 -102.2685725
#> MEDV.13 24.51688015 12.2829935 53.18273863 31.5214270 7.3296599
#> MEDV.22 -481.61777979 -483.9581247 1.42251665 91.1984925 92.4487723
#> MEDV.23 -54.03483153 -25.8707433 -47.62213452 -27.6452118 -22.0167765
#> MEDV.33 -4.93339249 -3.4370831 -5.95585528 -3.9031651 -2.3022137
#> [,49] [,50]
#> (Intercept) -0.04866931 0.1748453
#> Chi.P.0 122.23201797 149.1362350
#> Chi.P.1 133.26691772 161.6037046
#> Chi.P.2 95.74635679 155.4433908
#> Chi.P.3 367.97914127 264.2710091
#> Chi.P.4 -10.34265722 -4.5266769
#> Chi.P.5 152.61239902 80.6744925
#> Chi.C.3 35.74740421 15.1505543
#> Chi.PC.4 19.83267238 -10.5888549
#> Kappa.1 -118.54603237 -98.1216228
#> Kappa.2 176.00128264 201.9980903
#> Kappa.3 44.78004489 83.1922641
#> Kappa.4 128.52665001 157.6049414
#> Estate.1 -157.57778557 -131.4061131
#> Estate.2 109.53639031 88.3252086
#> Estate.3 4.35857625 2.8050891
#> MEDV.11 -28.13157019 -35.1417473
#> MEDV.12 -222.30441671 -218.2617326
#> MEDV.13 -3.25534843 24.7291947
#> MEDV.22 -399.46058127 -398.6099385
#> MEDV.23 -8.14815971 -40.4229932
#> MEDV.33 -1.93983979 -4.9163992
predict(fit, newx = x)
#> [1] -2126.5424637 -2113.1316535 -1927.1159663 -1916.4118552 -1727.0954869
#> [6] -1717.3859578 -1526.7365219 -1517.4991466 -1326.2729932 -1317.1922731
#> [11] -1125.9916444 -1117.0188237 -1152.4859796 -925.8305075 -916.9656046
#> [16] -954.2027001 -725.7541886 -716.8961642 -755.6904118 -525.7568515
#> [21] -517.1133985 -556.8564611 -326.0510245 -317.1912678 -358.1003483
#> [26] -126.4007729 -117.5883783 -159.3398758 73.1862073 81.9764338
#> [31] 68.2255392 58.7370509 52.5281312 48.9649619 40.1640259
#> [36] 39.5155551 272.7243653 281.5233863 267.8290571 258.2477372
#> [41] 251.9960294 239.4218404 238.3652915 472.1839610 481.0727049
#> [46] 437.1813431 -682.4731331 -608.1531798 -484.6527354 -484.3152701
#> [51] -508.2830175 -505.3782727 -520.2723892 -385.6011988 -397.4682663
#> [56] -408.4405514 -416.1634701 -420.5046382 -281.4472969 -286.1036627
#> [61] -309.1719035 -308.3258100 -301.3372726 -320.1455059 -185.9987853
#> [66] -195.0895657 -198.7871111 -209.8644571 -219.9352127 -81.8757748
#> [71] -87.1823094 -110.5544722 -108.9801678 -119.8860764 13.5678893
#> [76] 4.2999722 2.5946410 18.1076070 0.5957538 -17.6331922
#> [81] 117.6325675 111.9628723 111.4571577 88.5841785 88.2446989
#> [86] 77.1460657 73.1898065 207.1250993 201.0204403 181.7058431
#> [91] 173.2994833 174.8481236 165.2118275 314.5679183 310.5051424
#> [96] 287.0318681 287.3513371 277.3089017 272.4041454 403.1396133
#> [101] 396.3801815 381.0425593 372.5135806 369.5850552 364.0800204
#> [106] 516.5409052 509.6177250 488.2687906 486.0152270 476.2109049
#> [111] 471.7996408 600.5300592 585.6928763 567.3818549 708.7940329
#> [116] 687.7525946 685.0571150 667.1248480 784.7797337 -567.7581837
#> [121] -479.6524144 -369.2562017 -253.1563337 -170.8091896 -54.8402401
#> [126] -84.1775270 8.9431829 145.1130763 114.2562731 104.2628129
#> [131] 94.4552747 229.1104996 223.3191253 206.9210486 192.5024503
#> [136] 345.1616154 312.6413419 302.1954111 292.0839517 428.0725079
#> [141] 427.0081185 405.2283699 397.4144268 389.9857746 544.2849371
#> [146] 514.4928255 501.0601274 488.4509161 491.8463931 627.1573917
#> [151] 596.2561742 586.9280555 743.3619444 710.1849920 702.3765896
#> [156] 685.7704108 784.4901177 908.9179151 883.6265872 983.0856852
#> [161] -28.4412551 169.0360858 152.6081239 368.6119435 351.6404771
#> [166] 567.6060383 525.1752113 518.3009813 518.0082657 632.8614122
#> [171] 620.4549369 615.5204421 766.5732304 723.4769269 716.2774456
#> [176] 714.9542999 813.2899949 -340.6142132 -150.7982816 -917.2432532
#> [181] -683.6192019 -481.0319804 -508.8039543 -398.1222301 -414.8950682
#> [186] -309.3696189 -321.2663409 -328.2483597 -197.9334864 -109.9902790
#> [191] 79.2914952 74.3880160 203.7262434 401.2221482 380.9927437
#> [196] -251.5301847 -166.0569665 -100.6841884 116.2975828 103.4238284
#> [201] 97.1327845 319.9619496 302.6078458 295.3860343 406.6215311
#> [206] 406.1479439 392.4032669