Berikut adalah fungsi RKU yang dapat digunakan untuk
menghitung regresi komponen utama (principal component
regression) dengan output utama adalah koefisien penduga parameter
regresi komponen utama yang sudah ditransformasi balik untuk peubah
\(X\)
RKU <- function(data.x, data.y){
pca <- prcomp(data.x, center=TRUE, scale.=TRUE) #melakukan analisis komponen utama
vektor.ciri <- pca$rotation #vektor ciri
akar.ciri <- pca$sdev #matriks ciri
matriks.skor <- pca$x #matriks skor komponen utama
pcs <- as.data.frame(pca$x) #membuat dataframe x baru yang berasal dari peubah komponen utama
data.pcr <- cbind(data.y, pcs) #menambahkan data y
pcr <- lm(data.y ~ ., data = data.pcr) #melakukan pendugaan menggunakan regresi
beta.pcr <- as.matrix(pcr$coefficients[-1]) #koefisien beta peubah komponen utama
V <- as.matrix(pca$rotation)
beta.X <- V %*% beta.pcr #melakukan transformasi peubah komponen utama menjadi peubah asal x
beta.X <- rbind(pcr$coefficients[1], beta.X)
output <- list(Koef.X = beta.X, Koef.PC = pcr$coefficients, Skor.KU = matriks.skor,Vektor.Ciri = vektor.ciri, Akar.Ciri = akar.ciri)
return(output)
}Membangkitkan peubah \(Y,X_1,X_2,X_3\) sebanyak 1000 amatan berdasarkan model regresi linear berganda berikut :
\(Y=10+3X_1+5X_2+7X_3+\epsilon\)
dengan mengasumsikan bahwa \(\epsilon\)~\(N(0,1)\) dan antara peubah bebas terjadi multikolinearitas (tidak ada batasan fungsi/package yang digunakan).
Syntax Program
library(MASS)
b0 <- 10; b1 <- 3; b2 <- 5; b3 <- 7
b0hat <- NULL; b1hat <- NULL; b2hat <- NULL; b3hat <- NULL for (i in 1:1000){ #membangkitkan data sebanyak 1000
eps <- rnorm(1000) # membangkitkan e~N(0,1) sebanyak 1000
mu <- c(1, 1, 1)
X <- mvrnorm(1000,mu,Sigma) #membangkitkan peubah X
Y <- b0 + b1*X[,1] + b2*X[,2] + b3*X[,3]+ eps
pcr <- RKU(X,Y) #menduga bhat dengan RKU
b0hat <- c(b0hat , pcr$Koef.X[1])
b1hat <- c(b1hat , pcr$Koef.X[2])
b2hat <- c(b2hat , pcr$Koef.X[3])
b3hat <- c(b0hat , pcr$Koef.X[4])
}
databangkitan <- data.frame(Y,X) #peubah Y dan X yang telah dibangkitkan
databangkitan## [,1] [,2] [,3]
## [1,] 1.0000000 0.8972831 0.8978736
## [2,] 0.8972831 1.0000000 0.8930072
## [3,] 0.8978736 0.8930072 1.0000000Dapat dilihat bahwa nilai korelasi antarpeubah bebas sangat besar,
yaitu hampir 0.9 (sesuai dengan sigma yang telah didefinisikan
sebelumnya). Artinya, antarpeubah bebas terjadi multikolinearitas.
Selain itu juga dapat dibuktikan dengan melakukan pengujian
multikolinearitas menggunakan fungsi vif().
## Loading required package: carData##
## Call:
## lm(formula = databangkitan$Y ~ databangkitan$X1 + databangkitan$X2 +
## databangkitan$X3)
##
## Coefficients:
## (Intercept) databangkitan$X1 databangkitan$X2 databangkitan$X3
## 10.020 2.993 4.889 7.137## databangkitan$X1 databangkitan$X2 databangkitan$X3
## 6.719697 6.430548 6.465717Karena nilai VIF > 5 dapat dikatakan bahwa terjadi multikolinearitas antarpeubah bebas.
hasil <-matrix (c(mean(b0hat), sd(b0hat), mean(b1hat), sd(b1hat), mean(b2hat), sd(b2hat), mean(b3hat), sd(b3hat)), nrow =2, ncol =4)
rownames ( hasil ) <- c("mean","sd")
colnames ( hasil ) <- c("b0", "b1", "b2", "b3")
hasil## b0 b1 b2 b3
## mean 25.0160454 2.9978937 4.9930071 24.9982142
## sd 0.4587701 0.1066554 0.1382038 0.7269997Hasil diatas merupakan nilai mean dan
standar deviasi dari masing-masing parameter duganya.
## $Koef.X
## (Intercept)
## [1,] 25.503122
## [2,] 3.014994
## [3,] 4.955742
## [4,] 7.167030
##
## $Koef.PC
## (Intercept) PC1 PC2 PC3
## 25.503122 -8.737939 -1.421652 2.577443
##
## $Skor.KU
## PC1 PC2 PC3
## [1,] -3.419308189 -4.986410e-01 -0.1457008024
## [2,] 0.289144216 5.393602e-01 0.1894918409
## [3,] 1.725240444 -5.131328e-02 -0.0261525321
## [4,] 3.075371339 5.232278e-01 0.2946041790
## [5,] 2.297640533 3.687125e-01 0.8456865790
## [6,] -1.826956287 -1.821896e-01 -0.1068836516
## [7,] -3.590223103 -1.942974e-01 0.1546814548
## [8,] 0.202704652 -1.326900e-01 0.6278971878
## [9,] 1.474063828 -2.428045e-01 0.1145006857
## [10,] 0.988837884 7.316331e-01 0.1513521866
## [11,] -2.699638842 9.479999e-02 0.1846540113
## [12,] 1.063464246 1.216064e-01 0.1377658404
## [13,] 1.368209812 -1.187326e-01 -0.2175672464
## [14,] 2.339311059 4.635668e-01 -0.1381931482
## [15,] 2.074649613 1.012142e-01 0.3092182201
## [16,] -1.245866009 6.455087e-01 -0.5763663624
## [17,] -0.775041796 7.236191e-01 0.2301381355
## [18,] 1.159881226 5.400656e-01 0.2415164799
## [19,] 2.623650532 5.575560e-01 -0.0676264808
## [20,] -1.129059323 -6.507376e-01 -0.1209083174
## [21,] 2.064153025 -7.102257e-01 0.2761912585
## [22,] -0.477142299 -1.142168e-01 0.1955194733
## [23,] -2.569398221 3.546806e-02 -0.3163053458
## [24,] -0.005487501 6.835181e-01 -0.0966603396
## [25,] -0.176914894 5.029378e-02 0.5160348881
## [26,] -1.121626109 9.450697e-02 -0.3279233686
## [27,] -0.793303145 -3.561820e-01 0.0858900393
## [28,] 2.884022890 -4.659553e-01 0.7259168303
## [29,] 0.537225065 -1.425293e-01 0.3801155061
## [30,] -0.620598630 3.854064e-01 -0.4066771105
## [31,] 1.061246139 -1.477595e-01 -0.2307630977
## [32,] 0.224246329 1.035596e-01 -0.2652617319
## [33,] 2.123194406 6.651050e-02 0.4441644773
## [34,] 3.369842875 4.842750e-01 0.1664288079
## [35,] -0.769705736 3.379222e-01 0.2171007610
## [36,] -1.060667792 2.777375e-01 0.4097292523
## [37,] 1.639928831 1.531486e-01 0.6895144157
## [38,] -1.175030290 1.333180e-01 0.0046558874
## [39,] -0.413591806 -2.769531e-01 0.1694534902
## [40,] 1.594519964 3.670176e-01 0.3336652977
## [41,] -1.838429436 -6.185284e-01 0.2199405579
## [42,] -0.645427168 4.002088e-01 -0.0149736833
## [43,] -4.608181045 5.389227e-01 0.5923475881
## [44,] -0.172511020 2.929588e-01 -0.3937514789
## [45,] 0.230959348 1.039161e-01 0.0944816864
## [46,] -0.545732822 -2.147870e-01 0.0934233655
## [47,] 3.136437213 -5.123956e-01 0.1320995651
## [48,] -0.035559400 -2.367379e-01 0.3350084235
## [49,] -0.054199220 -2.313659e-01 -0.3920478505
## [50,] -1.800222540 -2.766815e-01 -0.4435552663
## [51,] -1.362170387 -3.294074e-01 0.3089936331
## [52,] 0.974017292 4.353591e-01 0.1485639642
## [53,] -1.879334158 -1.674764e-01 -0.0272845467
## [54,] 2.152909145 -3.162475e-01 0.2781740453
## [55,] -1.563309771 -2.722987e-01 -0.1386845750
## [56,] -0.092081445 -2.770612e-01 -0.5085064527
## [57,] 2.171530749 1.191985e-01 0.0112236327
## [58,] -2.605577478 -1.565465e-01 -0.0620671082
## [59,] 0.798599430 5.335598e-02 -0.1023913448
## [60,] 1.292209090 -1.234527e-01 -0.1652297146
## [61,] -1.553592095 -1.501645e-01 0.1471640268
## [62,] 0.303506569 -9.113391e-02 0.0120236325
## [63,] -0.223243715 -5.451535e-01 -0.4142283557
## [64,] 0.803168670 -7.796120e-02 -0.2458052394
## [65,] 0.263142976 4.021278e-01 0.1999143896
## [66,] -1.465401763 -4.166112e-01 -0.3855869574
## [67,] -0.237449789 -6.991429e-02 -0.4599270407
## [68,] -1.613996822 2.311233e-01 -0.3976512447
## [69,] 1.191814847 -6.036110e-01 -0.0012187501
## [70,] 0.070502049 1.880519e-01 0.1700890566
## [71,] -0.048385777 8.341811e-01 0.2567463180
## [72,] -0.414947807 3.227176e-01 -0.4892543147
## [73,] -2.743988970 3.802839e-01 0.5616314935
## [74,] 0.478482647 1.801091e-01 0.0226971224
## [75,] 1.922158609 -2.659038e-01 -0.0189074508
## [76,] 2.184249406 5.413955e-02 -0.2971176000
## [77,] 3.512757223 -2.178037e-01 0.2577164199
## [78,] 2.977358351 -4.279781e-01 -0.3727787347
## [79,] 1.971227964 -2.231466e-01 -0.1258030056
## [80,] 1.027695465 -5.538510e-02 -0.0226401710
## [81,] 2.816719378 -4.242029e-01 -0.1337737814
## [82,] -2.412064594 -7.670218e-02 0.1355127831
## [83,] -0.848779654 -3.381612e-02 0.0344681929
## [84,] 1.833405500 5.213119e-02 0.1795585734
## [85,] -1.870252531 -1.441774e-01 -0.4230706704
## [86,] -0.467994476 -1.708624e-01 -0.2396889197
## [87,] -3.725904601 1.079507e-01 0.3232265473
## [88,] 1.006025139 -6.407975e-02 -0.4548035543
## [89,] -1.217470270 2.926696e-01 0.2496601229
## [90,] -1.627827534 1.487027e-02 0.2982331897
## [91,] 0.481611392 6.406859e-02 -0.0494437122
## [92,] 1.392850338 8.960251e-01 0.1900049232
## [93,] 1.411784627 -3.755506e-03 -0.2536919182
## [94,] 0.557867808 -6.544991e-01 -1.0047899198
## [95,] 2.279915098 -1.676560e-01 0.0141488042
## [96,] 0.888618889 6.341520e-03 -0.1701944070
## [97,] 1.007821086 3.139439e-01 -0.5193693632
## [98,] 0.964246127 2.217893e-01 -0.0168033494
## [99,] 2.980151463 2.583742e-01 -0.1188693925
## [100,] -0.325107369 -4.721666e-03 0.0595789101
## [101,] 5.292351587 4.819877e-01 0.5621681081
## [102,] 0.396744003 3.806104e-01 -0.1665619098
## [103,] 2.891870608 1.859233e-02 0.4041873211
## [104,] 1.464409229 -8.247291e-01 -0.1857555968
## [105,] -1.153869504 -4.396723e-01 0.0159433605
## [106,] 0.428997880 -4.867422e-01 -0.3546967502
## [107,] -1.938306654 -2.314551e-01 -0.0869887246
## [108,] -0.323767171 4.141335e-01 0.1662448125
## [109,] 1.589543642 -6.076448e-01 -0.2243815160
## [110,] 1.287133863 -2.778296e-01 0.1440115512
## [111,] -2.509532133 -3.585170e-01 0.1587850813
## [112,] -0.386823326 -3.372658e-01 0.0476854254
## [113,] -0.354964767 7.933114e-01 -0.0260393028
## [114,] 1.155717829 2.001012e-01 -0.0272860118
## [115,] 1.078942945 8.953811e-02 0.1866733327
## [116,] 1.751003611 3.767416e-01 -0.5679107069
## [117,] 1.977382306 2.556341e-01 0.0728548196
## [118,] -1.245653812 2.006612e-01 0.3019243615
## [119,] -3.141552750 9.985614e-03 -0.3516080108
## [120,] 2.256360800 4.241683e-02 -0.1513426968
## [121,] -0.203474999 3.340355e-02 0.0219780955
## [122,] 1.711470489 -7.323135e-01 -0.5813312010
## [123,] 3.212215230 2.224160e-01 -0.0969718970
## [124,] -4.310867281 2.718024e-01 -0.0875503372
## [125,] -1.394378039 8.228860e-02 0.1232400388
## [126,] 0.253492138 -4.697206e-02 0.1102030213
## [127,] 1.533200619 -4.122873e-01 0.3612334368
## [128,] -1.547627877 -8.395037e-02 0.4270004581
## [129,] 1.734579290 2.838530e-03 -0.3391243424
## [130,] 0.706827860 5.220077e-01 0.1470423691
## [131,] -0.148513916 6.595344e-01 0.0895843938
## [132,] -0.164192404 -2.357798e-01 -0.5465182742
## [133,] -2.839555566 1.599799e-01 -0.0190435268
## [134,] 1.180331611 2.727547e-02 -0.1735145290
## [135,] 2.253976631 -1.221655e-01 0.2936452606
## [136,] -1.690287182 -4.825240e-02 -0.0939877094
## [137,] 1.689809853 3.550542e-01 -0.1522859466
## [138,] -0.248827498 1.367885e-01 0.3902785217
## [139,] -1.033262391 -2.495157e-02 0.2011074517
## [140,] 1.639009504 -1.852344e-01 -0.7077183486
## [141,] -2.062769833 -3.120588e-01 0.0338359680
## [142,] -1.915264657 -3.117434e-01 -0.5369451359
## [143,] -0.042187267 1.321817e-01 -0.6585604242
## [144,] -0.577887572 7.967494e-02 0.1031596196
## [145,] -0.846151672 -1.061927e-01 -0.2473342444
## [146,] -1.448347012 1.030971e-02 0.1409469543
## [147,] -1.062772273 6.615151e-02 -0.0436250479
## [148,] 1.359190714 -1.970278e-01 0.0298451409
## [149,] 0.370468795 -2.451563e-01 -0.0991551586
## [150,] -3.655830891 -2.374298e-01 -0.0164313924
## [151,] -0.518179990 2.121495e-01 -0.0276650026
## [152,] -1.936446612 7.488512e-02 -0.0381533596
## [153,] -0.618532789 -1.845676e-01 0.0458840797
## [154,] 0.401601614 -5.855311e-02 -0.0197393962
## [155,] 0.565199517 1.076414e-01 -0.0872453701
## [156,] 0.626666024 4.735864e-01 -0.0524661218
## [157,] 0.450343068 -3.252935e-01 0.0295325099
## [158,] 0.806822288 -1.327714e-01 0.4229854974
## [159,] 1.971870493 6.200225e-01 0.5726738473
## [160,] 0.863123014 -5.670078e-02 -0.3725836437
## [161,] -0.632197915 2.258792e-01 -0.3307702069
## [162,] 0.993651015 4.465444e-01 0.3281874041
## [163,] 2.279835498 -5.479665e-01 0.0235429491
## [164,] 1.464930406 1.247530e-01 -0.3074058707
## [165,] -1.365849016 5.937326e-02 0.2287499995
## [166,] -0.139958151 7.664025e-02 -0.2567576627
## [167,] 1.217705294 5.656255e-01 -0.3760317761
## [168,] -0.269237105 -6.114931e-01 0.5297849742
## [169,] 2.206017884 1.667696e-01 0.2466551144
## [170,] -0.858931406 5.925806e-03 -0.9140569933
## [171,] -2.437041287 5.551119e-01 -0.1405465475
## [172,] -0.161610731 3.526315e-01 -0.2307185772
## [173,] -0.257567144 -3.843322e-02 0.1970812022
## [174,] 1.360234819 2.489731e-02 -0.1294497762
## [175,] -1.878858483 -3.877269e-01 0.0851043341
## [176,] -1.026045443 -1.138522e-01 -0.6411039189
## [177,] 0.022496270 -6.335601e-01 0.2493859935
## [178,] 1.314026992 -6.781391e-02 -0.2000787512
## [179,] 3.934977091 -5.217465e-01 -0.3129269299
## [180,] 1.867010701 1.264299e-01 -0.0261294656
## [181,] 1.668068084 -2.028351e-01 0.7010626689
## [182,] 2.988474928 2.375092e-01 -0.0446713904
## [183,] 3.464345538 -1.343795e-03 -0.2448545125
## [184,] 0.288484473 -2.895967e-01 -0.3823893873
## [185,] -0.757215439 2.684009e-01 0.1242931744
## [186,] -0.712527049 -3.882254e-01 -0.0261301821
## [187,] 0.142345858 3.467273e-01 0.5031371895
## [188,] -2.105261871 -3.833182e-01 0.1885182683
## [189,] -4.400664033 2.273231e-01 0.2750697216
## [190,] 1.659203155 1.735998e-01 -0.0411017817
## [191,] 0.379869010 -1.733657e-01 0.2090475832
## [192,] -0.533681204 8.453571e-02 -0.4464153433
## [193,] 0.373887404 1.706192e-01 -0.0802558758
## [194,] -0.799871022 5.870413e-02 -0.0542246073
## [195,] -3.783051276 1.589633e-01 -0.2256034072
## [196,] 0.828992522 -2.138118e-01 -0.6261421269
## [197,] -4.945053954 5.642851e-01 0.0332415087
## [198,] -1.013287731 8.213298e-02 0.4968771513
## [199,] 0.578670265 -5.059458e-01 0.4053335316
## [200,] 0.820915671 2.784401e-01 0.2514337597
## [201,] -0.066457678 -3.629520e-01 -0.3335235144
## [202,] -1.625368128 3.146595e-01 -0.0995094385
## [203,] -1.096292353 1.146213e-01 -0.4907412685
## [204,] -0.150741406 5.618320e-02 -0.6732983534
## [205,] 0.495341844 4.125730e-01 -0.0051467033
## [206,] -0.380478848 -5.919769e-01 0.2810878870
## [207,] -2.913424253 4.152231e-01 0.2230994273
## [208,] 0.502603952 1.816325e-01 0.1173429785
## [209,] -0.221942561 2.812364e-02 -0.2275345568
## [210,] 0.971868184 -4.029924e-01 -0.4833792706
## [211,] 0.780724287 -3.019294e-01 -0.1736465031
## [212,] -0.311449949 1.684665e-01 -0.3079682785
## [213,] 0.671399716 -2.138824e-01 -0.3824890091
## [214,] -0.970598374 -5.110670e-01 0.1322451190
## [215,] -1.909217669 -3.326240e-01 -0.5234573986
## [216,] -2.478515906 -3.753774e-02 -0.5479941880
## [217,] 0.534778226 -1.060812e-01 0.1128185046
## [218,] -1.435128023 1.263332e-02 0.1647265236
## [219,] 2.668633694 3.462718e-01 0.1588272414
## [220,] 0.760381494 4.209467e-02 0.3582880257
## [221,] 1.002619501 -2.865426e-01 0.7951817058
## [222,] 0.212893826 3.364478e-01 -0.0512317354
## [223,] 0.514256864 -5.438265e-02 -0.7049110366
## [224,] -0.960397668 -1.234056e-01 -0.2462115418
## [225,] -2.859093128 4.364588e-01 -0.6035436160
## [226,] 2.101446105 -1.364768e-01 -0.4379771569
## [227,] -0.931907342 1.959644e-01 -0.0436952133
## [228,] -1.427262000 -3.313183e-01 0.1008394012
## [229,] -1.453834932 8.301881e-02 -0.2642397723
## [230,] 0.539829529 5.976881e-01 -0.7083673006
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## [805,] -2.356010899 2.299242e-01 -0.3566905212
## [806,] 1.399071488 -7.643943e-02 0.3055920024
## [807,] -0.347390311 3.634385e-01 -0.3325018277
## [808,] 0.673791712 3.147551e-01 0.2332846304
## [809,] -0.353019957 -2.533584e-02 -0.1116863619
## [810,] 0.351331473 1.209830e-01 -0.0105706434
## [811,] -1.727944931 3.565201e-01 0.1525346298
## [812,] 3.460116587 2.446261e-02 0.4243270091
## [813,] 1.542148420 2.809107e-01 0.1820395717
## [814,] 0.423913798 -1.998361e-01 0.3765315566
## [815,] 0.054100176 -1.669226e-02 -0.0664364231
## [816,] 1.458225999 -1.548550e-01 -0.0392359345
## [817,] 0.581565100 -6.518194e-02 -0.0807753533
## [818,] 1.020585708 -3.837090e-01 0.3774149385
## [819,] 2.836316409 5.336779e-01 0.2909753524
## [820,] -1.989336696 -2.533291e-01 -0.3458062563
## [821,] -2.585215555 1.662794e-01 0.0418282070
## [822,] -0.373525638 1.028938e-01 0.5484917309
## [823,] -1.781196972 -1.796968e-01 -0.3414050542
## [824,] -3.716203865 -2.184631e-01 -0.1404097389
## [825,] 0.081609668 -8.383281e-02 0.2981169440
## [826,] 2.547561983 -3.083226e-01 -0.3473867911
## [827,] 1.653761903 1.758108e-02 -0.3391935125
## [828,] -0.691433849 3.519647e-01 -0.0402123022
## [829,] -1.809866352 3.286749e-01 0.3450801513
## [830,] 0.525375712 -2.535228e-01 -0.4074736251
## [831,] 1.925428313 -1.003238e-01 -0.2216706429
## [832,] -0.869956942 4.475756e-01 0.7889280595
## [833,] -2.097309434 -6.852860e-02 0.4166661938
## [834,] -2.913668408 2.521921e-01 -0.0541395232
## [835,] 1.089081416 -8.517095e-02 0.2128148007
## [836,] 3.179215384 -1.067999e-01 -0.0162952219
## [837,] 0.004251605 -1.193651e-01 -1.1192415034
## [838,] -2.125136975 -1.050384e-01 -0.0361526655
## [839,] -1.133346812 -1.951471e-01 0.0360922217
## [840,] 1.323472597 2.564877e-01 0.3898977560
## [841,] -3.628017686 3.790337e-01 -0.5563585185
## [842,] -1.146842620 -4.634521e-01 -0.1529240088
## [843,] -0.899060982 -4.376204e-01 0.4179570812
## [844,] 1.172909828 -4.379727e-01 0.4737422326
## [845,] 1.446190380 1.907925e-01 0.3965107707
## [846,] -0.883510114 2.340660e-01 0.2263976252
## [847,] -1.903286597 -8.341498e-02 -0.4793207678
## [848,] -0.982871485 1.053064e-01 -0.4135306019
## [849,] 0.253025035 -3.905798e-05 -0.0164586407
## [850,] -1.492956500 4.759941e-01 -0.1664587710
## [851,] 0.347704541 -1.654325e-01 -0.3473149717
## [852,] 0.549623812 3.969164e-01 0.2821407455
## [853,] -2.256385326 -3.134382e-01 0.3487410191
## [854,] -1.350945334 5.214449e-01 -0.1310350837
## [855,] 0.490482685 -2.008750e-01 -0.0112757447
## [856,] 0.556964559 -2.754029e-01 0.3322208677
## [857,] -0.907572475 1.676804e-01 0.1612477083
## [858,] -1.968664006 -4.517334e-01 -0.0205483229
## [859,] 1.227156209 -3.002996e-01 0.1257505514
## [860,] -0.888415870 -3.925225e-01 0.8869066508
## [861,] 1.198790377 4.163688e-01 -0.4697802182
## [862,] 0.285961889 8.112273e-02 0.7921181370
## [863,] 0.120589768 -3.018375e-01 -0.1963465410
## [864,] -1.248009511 4.997035e-01 0.1347503104
## [865,] 0.159686950 -3.833696e-01 0.0673823770
## [866,] -1.122577146 -2.024904e-01 0.2874395003
## [867,] -0.419879825 5.205973e-01 -0.1035253620
## [868,] 2.605248889 -7.818610e-02 0.2648034096
## [869,] 2.277388871 3.102849e-01 -0.2257004687
## [870,] 2.622236073 -3.112952e-02 -0.4258878061
## [871,] 3.503637036 -4.956388e-01 0.0859116208
## [872,] 1.172072450 -8.512078e-02 -0.1710845961
## [873,] 1.938370463 -3.285150e-01 -0.0137332462
## [874,] -0.551239379 6.107027e-01 -0.0947578251
## [875,] 1.831610864 -7.434286e-02 0.1259362478
## [876,] 1.402314226 -7.782816e-03 0.0588384100
## [877,] -2.744119572 -2.740095e-01 -0.1936228484
## [878,] 0.208575972 -1.498732e-01 -0.0937068426
## [879,] -1.824497396 -4.914624e-01 -0.0664150068
## [880,] -0.003032909 -5.229865e-01 -0.0838191811
## [881,] 0.185411267 -6.735849e-02 -0.0492863766
## [882,] 2.328577029 2.735563e-01 -0.1165344167
## [883,] -1.648338334 4.487329e-02 0.2268328770
## [884,] -1.865071712 2.551023e-01 -0.4644479851
## [885,] -0.121521728 -7.090846e-01 -0.1127195440
## [886,] 0.761561324 -7.584874e-02 0.0401992355
## [887,] 0.232084875 1.341711e-01 -0.1014044170
## [888,] -2.762965465 -7.693263e-01 0.0549206034
## [889,] -0.238822399 1.921698e-01 -0.4090732055
## [890,] 0.268190547 1.089828e-01 0.3409507102
## [891,] -2.976538791 1.917920e-01 0.3665991978
## [892,] -2.912406581 -1.429618e-01 -0.4613801099
## [893,] 0.598352850 3.208181e-01 -0.1495527657
## [894,] 0.646016911 -3.449610e-01 -0.0555467408
## [895,] -3.250887886 -2.229883e-01 0.2391143844
## [896,] 1.626535098 -1.883034e-01 0.2798262555
## [897,] -1.452804620 -9.092593e-02 0.3689806756
## [898,] 0.003967786 1.311019e-02 -0.4685488555
## [899,] -0.799678712 3.087728e-01 0.0730006481
## [900,] 0.163585661 -2.703323e-01 -0.0123004352
## [901,] -1.824547165 1.771645e-01 0.0868589155
## [902,] -1.459165922 3.944901e-01 0.0881077694
## [903,] -0.868013290 -6.482407e-02 -0.0907239665
## [904,] -0.313266663 3.054507e-01 0.6280104217
## [905,] 2.996647134 -6.280785e-01 0.6691192073
## [906,] 2.870671982 -1.767471e-01 -0.4505855083
## [907,] -2.348921744 1.290424e-02 0.0862479017
## [908,] -0.064052302 2.801925e-01 -0.3237661627
## [909,] 1.637798884 -1.868185e-01 0.1808673556
## [910,] -1.973195968 4.761206e-01 -0.1462310142
## [911,] 1.557507677 3.292706e-02 0.1240124011
## [912,] 1.059618132 5.983361e-01 0.3727769945
## [913,] -0.148149218 -1.314504e-01 -0.3948672080
## [914,] -0.723360461 7.673530e-02 -0.2833072297
## [915,] -1.293565333 1.814948e-01 0.2620376151
## [916,] 2.549829630 -1.728589e-01 -0.0990858342
## [917,] -0.274803283 1.804217e-01 -0.2090643377
## [918,] 0.310781271 -4.996141e-01 0.2260726384
## [919,] -3.223366476 4.611870e-02 0.0705099148
## [920,] -0.375364469 -4.764801e-01 0.0349727524
## [921,] 0.664199975 -3.808417e-01 0.1422920653
## [922,] -1.430483505 -1.902368e-02 0.3111312970
## [923,] 1.608117069 1.771931e-01 0.1924377343
## [924,] 2.428277403 7.238073e-02 0.1451268078
## [925,] -1.424313726 2.445278e-01 0.2439583204
## [926,] -0.551712001 1.295128e-01 0.8000203543
## [927,] -3.107057063 3.224261e-03 -0.2235400858
## [928,] 0.627022838 3.073912e-01 -0.0863988712
## [929,] -1.706400909 -3.275375e-02 -0.0997201879
## [930,] -1.540923894 3.001037e-01 -0.2296212880
## [931,] 3.619649269 4.433180e-01 -0.1733252711
## [932,] 0.125640073 2.904198e-01 -0.2010772462
## [933,] 0.898369080 1.035789e-01 0.1074868952
## [934,] 1.543166559 -1.765816e-01 0.5991697999
## [935,] 0.148221171 1.595672e-02 0.4276292054
## [936,] 0.544229234 3.284540e-01 0.0696161656
## [937,] 0.182990619 -1.555850e-01 0.0042142498
## [938,] 0.148499345 8.329929e-02 -0.5985749282
## [939,] 0.654042883 -3.060336e-01 -0.1928405673
## [940,] -1.455910006 5.121128e-03 0.8645214335
## [941,] 0.403034010 2.611297e-01 0.1964432214
## [942,] 2.437566255 2.579017e-01 0.4814110592
## [943,] -1.038524102 -3.143934e-01 -0.0767157665
## [944,] 2.119216108 5.497930e-01 0.0522166989
## [945,] 0.336148415 -2.875729e-02 -0.0073397777
## [946,] 1.804459691 -9.523283e-01 0.2961139203
## [947,] -0.234500208 -2.970873e-02 -0.4764675829
## [948,] -0.576305866 -4.516219e-01 -0.3686461005
## [949,] 0.889563587 -3.551754e-01 -0.2714884247
## [950,] -1.543427079 -1.601853e-01 0.3827986288
## [951,] 0.274931421 7.235794e-02 0.2581577392
## [952,] 1.240238500 3.762315e-02 -0.0018728251
## [953,] 0.912561157 2.005186e-01 0.1164396434
## [954,] 0.199656591 -4.469814e-01 -0.2990149998
## [955,] -0.789814091 -2.901283e-01 0.0883546191
## [956,] -1.049419565 -7.333299e-02 0.4971710356
## [957,] 0.110316499 -2.110779e-01 -0.2454156704
## [958,] -1.523897393 -5.323200e-01 -0.2495315235
## [959,] 1.721678950 -7.474184e-02 0.1534622388
## [960,] 1.724048404 3.908463e-01 0.1283518663
## [961,] 1.790688910 2.110910e-01 0.3581990170
## [962,] 1.484456073 5.367726e-01 0.6393419208
## [963,] 0.646107434 -2.869580e-02 0.0276942575
## [964,] 1.682817785 2.092143e-01 -0.2189194153
## [965,] 0.664788268 -6.112653e-01 0.0328005598
## [966,] -0.245804396 4.943935e-01 -0.2040387062
## [967,] 2.491363791 -1.458905e-01 0.4706307880
## [968,] 2.498685452 -4.162686e-01 0.5121562744
## [969,] -0.170398480 1.414219e-01 0.4117706093
## [970,] 0.630376672 -7.471272e-01 0.0199732944
## [971,] -1.078671095 -5.550988e-02 -0.0525899749
## [972,] -2.196549059 -4.045923e-01 -0.2299306949
## [973,] -1.135085426 2.945888e-01 -0.1819246291
## [974,] -0.612161997 -5.291012e-02 -0.6180755819
## [975,] -0.327169687 -1.112922e+00 0.0429348190
## [976,] -0.496206111 -7.867790e-02 -0.3144957365
## [977,] -2.991275043 6.722648e-02 -0.4009238481
## [978,] 0.526149259 1.689498e-01 -0.4351875821
## [979,] -0.092957718 2.644577e-01 -0.1049339261
## [980,] 0.803438419 1.599299e-01 0.3080751774
## [981,] -0.150952298 -1.717248e-02 -0.6081925161
## [982,] 2.095154364 8.542969e-02 -0.3894512092
## [983,] 1.030856131 6.069857e-01 -0.2529587115
## [984,] 1.080997130 1.019088e-01 -0.1575819865
## [985,] 0.405341012 3.632910e-01 -0.3569833298
## [986,] -2.337558056 -8.120849e-02 -0.2286687713
## [987,] -0.966161997 3.610482e-01 0.2133921583
## [988,] 1.131632367 4.076039e-01 0.1477493856
## [989,] 0.279402244 -1.421080e-01 -0.1670235751
## [990,] 0.387007449 1.486643e-01 0.0151276361
## [991,] -0.267531469 1.768909e-01 -0.2983475566
## [992,] -0.933010803 -1.556159e-01 -0.0035917610
## [993,] -0.989017468 -1.406909e-01 -0.3151644898
## [994,] -0.357287950 -4.988627e-01 0.0316167548
## [995,] 1.104071150 2.931807e-01 -0.0819470576
## [996,] -0.255605709 -2.619907e-01 0.2169966397
## [997,] -1.434410454 -4.714816e-01 0.1946355088
## [998,] 1.114634901 3.171694e-01 0.2191299309
## [999,] 1.482326959 -1.404647e-02 -0.2725943620
## [1000,] -0.687845682 -2.515690e-01 0.7283727253
##
## $Vektor.Ciri
## PC1 PC2 PC3
## [1,] -0.5780039 -0.0453435 -0.8147733
## [2,] -0.5769596 0.7287999 0.3687389
## [3,] -0.5770867 -0.6832238 0.4474105
##
## $Akar.Ciri
## [1] 1.6709611 0.3271266 0.3176117Dari output di atas, diperoleh koefisien penduga parameter regresi
komponen utama yaitu b0hat sebesar 26.350286,
b1hat sebesar 2.837590, b2hat sebesar
4.996824, dan b3hat sebesar 6.967894. Nilai koefisien
penduga parameter regresi komponen utama ini
(b1hat, b2hat, b3hat) hampir sama dengan nilai koefisien
parameter sesungguhnya. Hanya saja untuk koefisien parameter intersep
sesungguhnya (b0) memiliki hasil yang sangat berbeda dengan
koefisien penduga parameter intersep (b0hat).