Metode Best Variable Selection

library(readxl)
library(leaps)
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(lmtest) 
## Loading required package: zoo
## 
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric
library(car)
## Loading required package: carData
## 
## Attaching package: 'car'
## The following object is masked from 'package:dplyr':
## 
##     recode
library(tidyr)
library(reshape2)
## 
## Attaching package: 'reshape2'
## The following object is masked from 'package:tidyr':
## 
##     smiths
library(data.table)
## 
## Attaching package: 'data.table'
## The following objects are masked from 'package:reshape2':
## 
##     dcast, melt
## The following objects are masked from 'package:zoo':
## 
##     yearmon, yearqtr
## The following objects are masked from 'package:dplyr':
## 
##     between, first, last
library(ggplot2)
rumah = read_excel("C:\\Users\\MUTHI'AH IFFA\\Downloads\\Semester 5\\PSD\\praktikum\\rumah3.xlsx")
str(rumah)
## tibble [1,047 × 8] (S3: tbl_df/tbl/data.frame)
##  $ jenis_properti: chr [1:1047] "Rumah" "Rumah" "Rumah" "Rumah" ...
##  $ harga_rp      : chr [1:1047] "2.000.000.000" "799.000.000" "2.300.000.000" "6.250.000.000" ...
##  $ lokasi        : num [1:1047] 1 3 1 1 3 1 6 1 11 1 ...
##  $ Jml_KM(Buah)  : chr [1:1047] "4" "2" "11" "5" ...
##  $ Jml_KT(Buah)  : chr [1:1047] "3" "2" "4" "5" ...
##  $ Jml_gar(Buah) : chr [1:1047] "2" "1" "1" "2" ...
##  $ LT(m²)        : chr [1:1047] "90" "102" "90" "294" ...
##  $ LB(m²)        : chr [1:1047] "130" "90" "150" "350" ...
# jumlah baris yang punya NA di kolom manapun
sum(!complete.cases(rumah))
## [1] 10
rumah[!complete.cases(rumah$lokasi), ]
## # A tibble: 4 × 8
##   jenis_properti harga_rp   lokasi `Jml_KM(Buah)` `Jml_KT(Buah)` `Jml_gar(Buah)`
##   <chr>          <chr>       <dbl> <chr>          <chr>          <chr>          
## 1 Rumah          6.500.000…     NA 4              3              3              
## 2 Rumah          589.000.0…     NA 3              2              1              
## 3 Rumah          1.300.000…     NA 3              2              1              
## 4 Rumah          563.000.0…     NA 2              2              1              
## # ℹ 2 more variables: `LT(m²)` <chr>, `LB(m²)` <chr>
nrow(rumah)
## [1] 1047

1047 baris masih mengandung missing value dan outlier

# Hapus mising value 
rumah_clean = rumah %>% drop_na()
sum(!complete.cases(rumah_clean))
## [1] 0
nrow(rumah_clean) ; ncol(rumah_clean)
## [1] 1037
## [1] 8

hasil penghapusan outlier baris menjadi berjumlah 1037

# Menghapus peubah jenis properti dan mengubah peubah menjadi numerik
rumah2 =  dplyr::select(rumah_clean, -jenis_properti)
str(rumah2)
## tibble [1,037 × 7] (S3: tbl_df/tbl/data.frame)
##  $ harga_rp     : chr [1:1037] "2.000.000.000" "799.000.000" "2.300.000.000" "6.250.000.000" ...
##  $ lokasi       : num [1:1037] 1 3 1 1 3 1 6 1 11 1 ...
##  $ Jml_KM(Buah) : chr [1:1037] "4" "2" "11" "5" ...
##  $ Jml_KT(Buah) : chr [1:1037] "3" "2" "4" "5" ...
##  $ Jml_gar(Buah): chr [1:1037] "2" "1" "1" "2" ...
##  $ LT(m²)       : chr [1:1037] "90" "102" "90" "294" ...
##  $ LB(m²)       : chr [1:1037] "130" "90" "150" "350" ...
library(dplyr)
library(janitor)
## 
## Attaching package: 'janitor'
## The following objects are masked from 'package:stats':
## 
##     chisq.test, fisher.test
rumah2 = rumah_clean %>%
  clean_names() %>%  # biar nama kolom jadi aman snake_case
  mutate(
    harga_rp    = as.numeric(gsub("\\.", "", harga_rp)),
    jml_km_buah = as.numeric(jml_km_buah),
    jml_kt_buah = as.numeric(jml_kt_buah),
    jml_gar_buah= as.numeric(jml_gar_buah),
    lt_m2       = as.numeric(lt_m2),
    lb_m2       = as.numeric(lb_m2)
  )
str(rumah2)
## tibble [1,037 × 8] (S3: tbl_df/tbl/data.frame)
##  $ jenis_properti: chr [1:1037] "Rumah" "Rumah" "Rumah" "Rumah" ...
##  $ harga_rp      : num [1:1037] 2.00e+09 7.99e+08 2.30e+09 6.25e+09 6.00e+08 1.10e+09 5.50e+08 2.60e+09 4.50e+09 3.90e+09 ...
##  $ lokasi        : num [1:1037] 1 3 1 1 3 1 6 1 11 1 ...
##  $ jml_km_buah   : num [1:1037] 4 2 11 5 2 3 3 3 4 4 ...
##  $ jml_kt_buah   : num [1:1037] 3 2 4 5 1 2 3 3 4 4 ...
##  $ jml_gar_buah  : num [1:1037] 2 1 1 2 1 1 0 2 2 0 ...
##  $ lt_m2         : num [1:1037] 90 102 90 294 66 60 60 98 288 80 ...
##  $ lb_m2         : num [1:1037] 130 90 150 350 50 80 112 90 400 200 ...
# Cek hasilnya
rumah2
## # A tibble: 1,037 × 8
##    jenis_properti   harga_rp lokasi jml_km_buah jml_kt_buah jml_gar_buah lt_m2
##    <chr>               <dbl>  <dbl>       <dbl>       <dbl>        <dbl> <dbl>
##  1 Rumah          2000000000      1           4           3            2    90
##  2 Rumah           799000000      3           2           2            1   102
##  3 Rumah          2300000000      1          11           4            1    90
##  4 Rumah          6250000000      1           5           5            2   294
##  5 Rumah           600000000      3           2           1            1    66
##  6 Rumah          1100000000      1           3           2            1    60
##  7 Rumah           550000000      6           3           3            0    60
##  8 Rumah          2600000000      1           3           3            2    98
##  9 Rumah          4500000000     11           4           4            2   288
## 10 Rumah          3900000000      1           4           4            0    80
## # ℹ 1,027 more rows
## # ℹ 1 more variable: lb_m2 <dbl>
str(rumah2)
## tibble [1,037 × 8] (S3: tbl_df/tbl/data.frame)
##  $ jenis_properti: chr [1:1037] "Rumah" "Rumah" "Rumah" "Rumah" ...
##  $ harga_rp      : num [1:1037] 2.00e+09 7.99e+08 2.30e+09 6.25e+09 6.00e+08 1.10e+09 5.50e+08 2.60e+09 4.50e+09 3.90e+09 ...
##  $ lokasi        : num [1:1037] 1 3 1 1 3 1 6 1 11 1 ...
##  $ jml_km_buah   : num [1:1037] 4 2 11 5 2 3 3 3 4 4 ...
##  $ jml_kt_buah   : num [1:1037] 3 2 4 5 1 2 3 3 4 4 ...
##  $ jml_gar_buah  : num [1:1037] 2 1 1 2 1 1 0 2 2 0 ...
##  $ lt_m2         : num [1:1037] 90 102 90 294 66 60 60 98 288 80 ...
##  $ lb_m2         : num [1:1037] 130 90 150 350 50 80 112 90 400 200 ...
head(rumah2)
## # A tibble: 6 × 8
##   jenis_properti   harga_rp lokasi jml_km_buah jml_kt_buah jml_gar_buah lt_m2
##   <chr>               <dbl>  <dbl>       <dbl>       <dbl>        <dbl> <dbl>
## 1 Rumah          2000000000      1           4           3            2    90
## 2 Rumah           799000000      3           2           2            1   102
## 3 Rumah          2300000000      1          11           4            1    90
## 4 Rumah          6250000000      1           5           5            2   294
## 5 Rumah           600000000      3           2           1            1    66
## 6 Rumah          1100000000      1           3           2            1    60
## # ℹ 1 more variable: lb_m2 <dbl>
# Cek missing value kembali
colSums(is.na(rumah2))
## jenis_properti       harga_rp         lokasi    jml_km_buah    jml_kt_buah 
##              0              0              0              0              0 
##   jml_gar_buah          lt_m2          lb_m2 
##              0              0              0
rumah2 %>% filter(is.na(lokasi))
## # A tibble: 0 × 8
## # ℹ 8 variables: jenis_properti <chr>, harga_rp <dbl>, lokasi <dbl>,
## #   jml_km_buah <dbl>, jml_kt_buah <dbl>, jml_gar_buah <dbl>, lt_m2 <dbl>,
## #   lb_m2 <dbl>

Mengubah Dummy Variabel

rumah_dummy = fastDummies::dummy_cols(
  rumah2,
  select_columns = "lokasi",
  remove_first_dummy = TRUE  # otomatis jadi k-1
)
str(rumah_dummy)
## tibble [1,037 × 18] (S3: tbl_df/tbl/data.frame)
##  $ jenis_properti: chr [1:1037] "Rumah" "Rumah" "Rumah" "Rumah" ...
##  $ harga_rp      : num [1:1037] 2.00e+09 7.99e+08 2.30e+09 6.25e+09 6.00e+08 1.10e+09 5.50e+08 2.60e+09 4.50e+09 3.90e+09 ...
##  $ lokasi        : num [1:1037] 1 3 1 1 3 1 6 1 11 1 ...
##  $ jml_km_buah   : num [1:1037] 4 2 11 5 2 3 3 3 4 4 ...
##  $ jml_kt_buah   : num [1:1037] 3 2 4 5 1 2 3 3 4 4 ...
##  $ jml_gar_buah  : num [1:1037] 2 1 1 2 1 1 0 2 2 0 ...
##  $ lt_m2         : num [1:1037] 90 102 90 294 66 60 60 98 288 80 ...
##  $ lb_m2         : num [1:1037] 130 90 150 350 50 80 112 90 400 200 ...
##  $ lokasi_2      : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_3      : int [1:1037] 0 1 0 0 1 0 0 0 0 0 ...
##  $ lokasi_4      : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_5      : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_6      : int [1:1037] 0 0 0 0 0 0 1 0 0 0 ...
##  $ lokasi_7      : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_8      : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_9      : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_10     : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_11     : int [1:1037] 0 0 0 0 0 0 0 0 1 0 ...
View(rumah_dummy)
# Hapus variable dummy "lokasi_11"
rumah2_dummy = dplyr::select(rumah_dummy,-jenis_properti, -lokasi)

str(rumah2_dummy)
## tibble [1,037 × 16] (S3: tbl_df/tbl/data.frame)
##  $ harga_rp    : num [1:1037] 2.00e+09 7.99e+08 2.30e+09 6.25e+09 6.00e+08 1.10e+09 5.50e+08 2.60e+09 4.50e+09 3.90e+09 ...
##  $ jml_km_buah : num [1:1037] 4 2 11 5 2 3 3 3 4 4 ...
##  $ jml_kt_buah : num [1:1037] 3 2 4 5 1 2 3 3 4 4 ...
##  $ jml_gar_buah: num [1:1037] 2 1 1 2 1 1 0 2 2 0 ...
##  $ lt_m2       : num [1:1037] 90 102 90 294 66 60 60 98 288 80 ...
##  $ lb_m2       : num [1:1037] 130 90 150 350 50 80 112 90 400 200 ...
##  $ lokasi_2    : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_3    : int [1:1037] 0 1 0 0 1 0 0 0 0 0 ...
##  $ lokasi_4    : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_5    : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_6    : int [1:1037] 0 0 0 0 0 0 1 0 0 0 ...
##  $ lokasi_7    : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_8    : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_9    : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_10   : int [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_11   : int [1:1037] 0 0 0 0 0 0 0 0 1 0 ...
# ubah kolom lokasi_2 sampai lokasi_10 menjadi numeric
rumah2_dummy = rumah2_dummy %>% 
  mutate(across(lokasi_2:lokasi_11, as.numeric))

# cek hasilnya
str(rumah2_dummy)
## tibble [1,037 × 16] (S3: tbl_df/tbl/data.frame)
##  $ harga_rp    : num [1:1037] 2.00e+09 7.99e+08 2.30e+09 6.25e+09 6.00e+08 1.10e+09 5.50e+08 2.60e+09 4.50e+09 3.90e+09 ...
##  $ jml_km_buah : num [1:1037] 4 2 11 5 2 3 3 3 4 4 ...
##  $ jml_kt_buah : num [1:1037] 3 2 4 5 1 2 3 3 4 4 ...
##  $ jml_gar_buah: num [1:1037] 2 1 1 2 1 1 0 2 2 0 ...
##  $ lt_m2       : num [1:1037] 90 102 90 294 66 60 60 98 288 80 ...
##  $ lb_m2       : num [1:1037] 130 90 150 350 50 80 112 90 400 200 ...
##  $ lokasi_2    : num [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_3    : num [1:1037] 0 1 0 0 1 0 0 0 0 0 ...
##  $ lokasi_4    : num [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_5    : num [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_6    : num [1:1037] 0 0 0 0 0 0 1 0 0 0 ...
##  $ lokasi_7    : num [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_8    : num [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_9    : num [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_10   : num [1:1037] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_11   : num [1:1037] 0 0 0 0 0 0 0 0 1 0 ...

Regresi Linear Berganda

# Model regresi 
reg = lm(harga_rp ~., data = rumah2_dummy)
summary(reg)
## 
## Call:
## lm(formula = harga_rp ~ ., data = rumah2_dummy)
## 
## Residuals:
##        Min         1Q     Median         3Q        Max 
## -5.457e+10 -8.787e+08  2.119e+08  8.132e+08  1.618e+11 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  -1.565e+09  6.212e+08  -2.519 0.011911 *  
## jml_km_buah   6.233e+08  2.122e+08   2.937 0.003388 ** 
## jml_kt_buah  -5.300e+08  2.455e+08  -2.158 0.031125 *  
## jml_gar_buah  3.129e+08  1.888e+08   1.657 0.097809 .  
## lt_m2         1.170e+07  9.005e+05  12.988  < 2e-16 ***
## lb_m2         1.919e+07  1.608e+06  11.937  < 2e-16 ***
## lokasi_2     -7.599e+08  5.478e+08  -1.387 0.165677    
## lokasi_3     -1.317e+09  5.669e+08  -2.323 0.020399 *  
## lokasi_4     -3.211e+09  2.133e+09  -1.506 0.132479    
## lokasi_5     -1.757e+09  2.045e+09  -0.859 0.390664    
## lokasi_6     -2.738e+09  8.517e+08  -3.215 0.001347 ** 
## lokasi_7     -4.194e+09  1.319e+09  -3.179 0.001520 ** 
## lokasi_8     -2.073e+09  3.339e+09  -0.621 0.534814    
## lokasi_9     -1.165e+10  6.655e+09  -1.751 0.080313 .  
## lokasi_10    -2.458e+09  6.641e+09  -0.370 0.711374    
## lokasi_11    -9.000e+09  2.387e+09  -3.771 0.000172 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6.622e+09 on 1021 degrees of freedom
## Multiple R-squared:  0.5638, Adjusted R-squared:  0.5574 
## F-statistic: 87.98 on 15 and 1021 DF,  p-value: < 2.2e-16

Uji Asumsi Regresi

1. Normalitas Residual

# Uji formal
shapiro = shapiro.test(residuals(reg)) # H0: residual ~ normal
# Hasil
cat("UJI NORMALITAS (Shapiro-Wilk):\n")
## UJI NORMALITAS (Shapiro-Wilk):
cat("W =", shapiro$statistic, " | p-value =", shapiro$p.value, "\n")
## W = 0.3135445  | p-value = 4.569649e-52
if(shapiro$p.value > 0.05){
  cat(">> Residual berdistribusi normal (p > 0.05)\n\n")
} else {
  cat(">> Residual TIDAK berdistribusi normal (p <= 0.05)\n\n")
}
## >> Residual TIDAK berdistribusi normal (p <= 0.05)
# Plot QQ-plot
residuals_reg = residuals(reg)   # residual dari model
fitted_reg = fitted(reg)         # nilai prediksi

qqnorm(residuals_reg, main = "QQ Plot Residual")
qqline(residuals_reg, col = "red", lwd = 2)

hist(residuals_reg,
     breaks = 30,
     main = "Histogram Residual",
     xlab = "Residuals",
     col = " blue",
     border = "white")

2. Homoskedastisitas (varian residual konstan)

bp = bptest(reg)

# Hasil 
cat("UJI HOMOSKEDASTISITAS (Breusch-Pagan):\n")
## UJI HOMOSKEDASTISITAS (Breusch-Pagan):
cat("BP =", bp$statistic, " | p-value =", bp$p.value, "\n")
## BP = 269.9276  | p-value = 9.583313e-49
if(bp$p.value > 0.05){
  cat(">> Tidak ada masalah heteroskedastisitas (varian residual konstan)\n\n")
} else {
  cat(">> Ada indikasi heteroskedastisitas (varian residual tidak konstan)\n\n")
}
## >> Ada indikasi heteroskedastisitas (varian residual tidak konstan)
plot(fitted_reg, residuals_reg,
     main = "Fitted vs Residuals",
     xlab = "Fitted Values",
     ylab = "Residuals",
     pch = 19, col = "blue")
abline(h = 0, col = "red", lwd = 2)

3. Multikolinearitas

vif = vif(reg)
# Hasil
cat("UJI MULTIKOLINEARITAS (VIF):\n")
## UJI MULTIKOLINEARITAS (VIF):
print(vif)
##  jml_km_buah  jml_kt_buah jml_gar_buah        lt_m2        lb_m2     lokasi_2 
##     2.736282     3.256802     1.770303     2.097615     2.608533     1.500765 
##     lokasi_3     lokasi_4     lokasi_5     lokasi_6     lokasi_7     lokasi_8 
##     1.484484     1.026962     1.038302     1.179102     1.081116     1.013142 
##     lokasi_9    lokasi_10    lokasi_11 
##     1.008828     1.004617     1.031021
if(all(vif < 10)){
  cat(">> Tidak ada multikolinearitas serius (semua VIF < 10)\n")
} else {
  cat(">> Ada multikolinearitas serius (VIF >= 10)\n")
}
## >> Tidak ada multikolinearitas serius (semua VIF < 10)

4. Autokorelasi

# Durbin-Watson test 
dw = dwtest(reg)

# Hasil 
cat("UJI AUTOKORELASI (Durbin-Watson):\n")
## UJI AUTOKORELASI (Durbin-Watson):
cat("DW =", dw$statistic, " | p-value =", dw$p.value, "\n")
## DW = 1.906402  | p-value = 0.05644605
if(dw$p.value > 0.05){
  cat(">> Tidak ada autokorelasi pada residual\n\n")
} else {
  cat(">> Ada indikasi autokorelasi pada residual\n\n")
}
## >> Tidak ada autokorelasi pada residual

Deteksi Outlier

# Bonferroni test untuk outlier signifikan
outlier = outlierTest(reg)

# Hasil 
if(is.null(outlier)){
  cat("✅ Tidak ada outlier signifikan berdasarkan uji Bonferroni\n")
} else {
  print(outlier)
  cat("⚠️ Ada outlier signifikan, periksa kembali data di atas\n")
}
##       rstudent unadjusted p-value Bonferroni p
## 528  48.814739        4.1601e-269  4.3057e-266
## 345 -12.338489         1.0616e-32   1.0987e-29
## 588  -8.371971         1.8525e-16   1.9174e-13
## 323  -5.124172         3.5730e-07   3.6981e-04
## 538   5.024800         5.9481e-07   6.1563e-04
## 346  -4.892394         1.1570e-06   1.1975e-03
## ⚠️ Ada outlier signifikan, periksa kembali data di atas
# Plot residual vs fitted
plot(reg, which = 1)

# Tambahkan titik outlier (jika ada)
if(!is.null(outlier)){
  points(reg$fitted.values[as.numeric(names(outlier$rstudent))],
         outlier$rstudent,
         col = "red", pch = 19)
  text(reg$fitted.values[as.numeric(names(outlier$rstudent))],
       outlier$rstudent,
       labels = names(outlier$rstudent),
       pos = 3, col = "red")
}

std_res = rstudent(reg)
outlier_idx = which(abs(std_res)>3)

# Jumlah outlier
cat("Jumlah outlier =", length(outlier_idx), "\n")
## Jumlah outlier = 12
# Kalau mau lihat data keberapa yang outlier
outlier_idx
## 164 171 294 323 345 346 458 460 528 538 555 588 
## 164 171 294 323 345 346 458 460 528 538 555 588
# Hapus baris yang outlier
rumah.clean = rumah2_dummy[-outlier_idx, ]
str(rumah.clean)
## tibble [1,025 × 16] (S3: tbl_df/tbl/data.frame)
##  $ harga_rp    : num [1:1025] 2.00e+09 7.99e+08 2.30e+09 6.25e+09 6.00e+08 1.10e+09 5.50e+08 2.60e+09 4.50e+09 3.90e+09 ...
##  $ jml_km_buah : num [1:1025] 4 2 11 5 2 3 3 3 4 4 ...
##  $ jml_kt_buah : num [1:1025] 3 2 4 5 1 2 3 3 4 4 ...
##  $ jml_gar_buah: num [1:1025] 2 1 1 2 1 1 0 2 2 0 ...
##  $ lt_m2       : num [1:1025] 90 102 90 294 66 60 60 98 288 80 ...
##  $ lb_m2       : num [1:1025] 130 90 150 350 50 80 112 90 400 200 ...
##  $ lokasi_2    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_3    : num [1:1025] 0 1 0 0 1 0 0 0 0 0 ...
##  $ lokasi_4    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_5    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_6    : num [1:1025] 0 0 0 0 0 0 1 0 0 0 ...
##  $ lokasi_7    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_8    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_9    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_10   : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_11   : num [1:1025] 0 0 0 0 0 0 0 0 1 0 ...
# Cek jumlah baris sebelum dan sesudah
cat("Sebelum:", nrow(rumah2_dummy), "baris\n")
## Sebelum: 1037 baris
cat("Sesudah:", nrow(rumah.clean), "baris\n")
## Sesudah: 1025 baris

Terlihat bahwa setelah baris berkurang setelah dilakukan penghapusan outlier, dari baris yang berjumlah 1037 baris menjadi 1025 baris.

# Konversi semua kolom lokasi jadi numeric di rumah.clean
rumah.clean[, grep("^lokasi", names(rumah.clean))] = 
  lapply(rumah.clean[, grep("^lokasi", names(rumah.clean))], as.numeric)

# Cek struktur data setelah perubahan
View(rumah.clean)
str(rumah.clean)
## tibble [1,025 × 16] (S3: tbl_df/tbl/data.frame)
##  $ harga_rp    : num [1:1025] 2.00e+09 7.99e+08 2.30e+09 6.25e+09 6.00e+08 1.10e+09 5.50e+08 2.60e+09 4.50e+09 3.90e+09 ...
##  $ jml_km_buah : num [1:1025] 4 2 11 5 2 3 3 3 4 4 ...
##  $ jml_kt_buah : num [1:1025] 3 2 4 5 1 2 3 3 4 4 ...
##  $ jml_gar_buah: num [1:1025] 2 1 1 2 1 1 0 2 2 0 ...
##  $ lt_m2       : num [1:1025] 90 102 90 294 66 60 60 98 288 80 ...
##  $ lb_m2       : num [1:1025] 130 90 150 350 50 80 112 90 400 200 ...
##  $ lokasi_2    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_3    : num [1:1025] 0 1 0 0 1 0 0 0 0 0 ...
##  $ lokasi_4    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_5    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_6    : num [1:1025] 0 0 0 0 0 0 1 0 0 0 ...
##  $ lokasi_7    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_8    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_9    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_10   : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_11   : num [1:1025] 0 0 0 0 0 0 0 0 1 0 ...
# Regresi modedl tanpa NA dan outlier 
reg2 = lm(harga_rp ~ ., data = rumah.clean)
summary(reg2)
## 
## Call:
## lm(formula = harga_rp ~ ., data = rumah.clean)
## 
## Residuals:
##        Min         1Q     Median         3Q        Max 
## -1.373e+10 -6.413e+08  1.503e+07  5.332e+08  2.038e+10 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   2.952e+08  2.649e+08   1.114 0.265407    
## jml_km_buah  -2.885e+08  1.100e+08  -2.622 0.008862 ** 
## jml_kt_buah  -8.379e+07  1.126e+08  -0.744 0.456781    
## jml_gar_buah  5.566e+08  8.786e+07   6.335 3.57e-10 ***
## lt_m2         9.761e+06  8.068e+05  12.097  < 2e-16 ***
## lb_m2         1.754e+07  8.780e+05  19.974  < 2e-16 ***
## lokasi_2     -6.807e+08  2.156e+08  -3.157 0.001641 ** 
## lokasi_3     -1.141e+09  2.239e+08  -5.098 4.11e-07 ***
## lokasi_4     -2.361e+09  8.368e+08  -2.821 0.004875 ** 
## lokasi_5     -1.747e+09  8.028e+08  -2.176 0.029791 *  
## lokasi_6     -1.800e+09  3.364e+08  -5.352 1.08e-07 ***
## lokasi_7     -1.840e+09  5.226e+08  -3.520 0.000450 ***
## lokasi_8     -1.429e+09  1.308e+09  -1.092 0.275129    
## lokasi_9     -8.802e+09  2.614e+09  -3.367 0.000789 ***
## lokasi_10    -2.510e+09  2.601e+09  -0.965 0.334723    
## lokasi_11    -7.247e+09  9.581e+08  -7.564 8.80e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.594e+09 on 1009 degrees of freedom
## Multiple R-squared:  0.7808, Adjusted R-squared:  0.7775 
## F-statistic: 239.6 on 15 and 1009 DF,  p-value: < 2.2e-16

Best Subset

best.subset = regsubsets(
  harga_rp ~ ., 
  data = rumah.clean, 
  nvmax = ncol(rumah.clean) - 1 
)
best.subset
## Subset selection object
## Call: regsubsets.formula(harga_rp ~ ., data = rumah.clean, nvmax = ncol(rumah.clean) - 
##     1)
## 15 Variables  (and intercept)
##              Forced in Forced out
## jml_km_buah      FALSE      FALSE
## jml_kt_buah      FALSE      FALSE
## jml_gar_buah     FALSE      FALSE
## lt_m2            FALSE      FALSE
## lb_m2            FALSE      FALSE
## lokasi_2         FALSE      FALSE
## lokasi_3         FALSE      FALSE
## lokasi_4         FALSE      FALSE
## lokasi_5         FALSE      FALSE
## lokasi_6         FALSE      FALSE
## lokasi_7         FALSE      FALSE
## lokasi_8         FALSE      FALSE
## lokasi_9         FALSE      FALSE
## lokasi_10        FALSE      FALSE
## lokasi_11        FALSE      FALSE
## 1 subsets of each size up to 15
## Selection Algorithm: exhaustive
# Ringkasan hasil Best Subset Selection
summary.best = summary(best.subset)
summary.best
## Subset selection object
## Call: regsubsets.formula(harga_rp ~ ., data = rumah.clean, nvmax = ncol(rumah.clean) - 
##     1)
## 15 Variables  (and intercept)
##              Forced in Forced out
## jml_km_buah      FALSE      FALSE
## jml_kt_buah      FALSE      FALSE
## jml_gar_buah     FALSE      FALSE
## lt_m2            FALSE      FALSE
## lb_m2            FALSE      FALSE
## lokasi_2         FALSE      FALSE
## lokasi_3         FALSE      FALSE
## lokasi_4         FALSE      FALSE
## lokasi_5         FALSE      FALSE
## lokasi_6         FALSE      FALSE
## lokasi_7         FALSE      FALSE
## lokasi_8         FALSE      FALSE
## lokasi_9         FALSE      FALSE
## lokasi_10        FALSE      FALSE
## lokasi_11        FALSE      FALSE
## 1 subsets of each size up to 15
## Selection Algorithm: exhaustive
##           jml_km_buah jml_kt_buah jml_gar_buah lt_m2 lb_m2 lokasi_2 lokasi_3
## 1  ( 1 )  " "         " "         " "          " "   "*"   " "      " "     
## 2  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 3  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 4  ( 1 )  " "         " "         "*"          "*"   "*"   " "      " "     
## 5  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 6  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 7  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 8  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 9  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 10  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 11  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 12  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 13  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 14  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 15  ( 1 ) "*"         "*"         "*"          "*"   "*"   "*"      "*"     
##           lokasi_4 lokasi_5 lokasi_6 lokasi_7 lokasi_8 lokasi_9 lokasi_10
## 1  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 2  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 3  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 4  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 5  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 6  ( 1 )  " "      " "      "*"      " "      " "      " "      " "      
## 7  ( 1 )  " "      " "      "*"      " "      " "      " "      " "      
## 8  ( 1 )  " "      " "      "*"      " "      " "      "*"      " "      
## 9  ( 1 )  " "      " "      "*"      "*"      " "      "*"      " "      
## 10  ( 1 ) " "      " "      "*"      "*"      " "      "*"      " "      
## 11  ( 1 ) "*"      " "      "*"      "*"      " "      "*"      " "      
## 12  ( 1 ) "*"      "*"      "*"      "*"      " "      "*"      " "      
## 13  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      " "      
## 14  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      "*"      
## 15  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      "*"      
##           lokasi_11
## 1  ( 1 )  " "      
## 2  ( 1 )  " "      
## 3  ( 1 )  "*"      
## 4  ( 1 )  "*"      
## 5  ( 1 )  "*"      
## 6  ( 1 )  "*"      
## 7  ( 1 )  "*"      
## 8  ( 1 )  "*"      
## 9  ( 1 )  "*"      
## 10  ( 1 ) "*"      
## 11  ( 1 ) "*"      
## 12  ( 1 ) "*"      
## 13  ( 1 ) "*"      
## 14  ( 1 ) "*"      
## 15  ( 1 ) "*"
# Tampilkan ukuran model
summary.best$which # variabel apa saja yang masuk tiap model
##    (Intercept) jml_km_buah jml_kt_buah jml_gar_buah lt_m2 lb_m2 lokasi_2
## 1         TRUE       FALSE       FALSE        FALSE FALSE  TRUE    FALSE
## 2         TRUE       FALSE       FALSE        FALSE  TRUE  TRUE    FALSE
## 3         TRUE       FALSE       FALSE        FALSE  TRUE  TRUE    FALSE
## 4         TRUE       FALSE       FALSE         TRUE  TRUE  TRUE    FALSE
## 5         TRUE        TRUE       FALSE         TRUE  TRUE  TRUE    FALSE
## 6         TRUE        TRUE       FALSE         TRUE  TRUE  TRUE    FALSE
## 7         TRUE        TRUE       FALSE         TRUE  TRUE  TRUE    FALSE
## 8         TRUE        TRUE       FALSE         TRUE  TRUE  TRUE    FALSE
## 9         TRUE        TRUE       FALSE         TRUE  TRUE  TRUE    FALSE
## 10        TRUE        TRUE       FALSE         TRUE  TRUE  TRUE     TRUE
## 11        TRUE        TRUE       FALSE         TRUE  TRUE  TRUE     TRUE
## 12        TRUE        TRUE       FALSE         TRUE  TRUE  TRUE     TRUE
## 13        TRUE        TRUE       FALSE         TRUE  TRUE  TRUE     TRUE
## 14        TRUE        TRUE       FALSE         TRUE  TRUE  TRUE     TRUE
## 15        TRUE        TRUE        TRUE         TRUE  TRUE  TRUE     TRUE
##    lokasi_3 lokasi_4 lokasi_5 lokasi_6 lokasi_7 lokasi_8 lokasi_9 lokasi_10
## 1     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE     FALSE
## 2     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE     FALSE
## 3     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE     FALSE
## 4     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE     FALSE
## 5     FALSE    FALSE    FALSE    FALSE    FALSE    FALSE    FALSE     FALSE
## 6     FALSE    FALSE    FALSE     TRUE    FALSE    FALSE    FALSE     FALSE
## 7      TRUE    FALSE    FALSE     TRUE    FALSE    FALSE    FALSE     FALSE
## 8      TRUE    FALSE    FALSE     TRUE    FALSE    FALSE     TRUE     FALSE
## 9      TRUE    FALSE    FALSE     TRUE     TRUE    FALSE     TRUE     FALSE
## 10     TRUE    FALSE    FALSE     TRUE     TRUE    FALSE     TRUE     FALSE
## 11     TRUE     TRUE    FALSE     TRUE     TRUE    FALSE     TRUE     FALSE
## 12     TRUE     TRUE     TRUE     TRUE     TRUE    FALSE     TRUE     FALSE
## 13     TRUE     TRUE     TRUE     TRUE     TRUE     TRUE     TRUE     FALSE
## 14     TRUE     TRUE     TRUE     TRUE     TRUE     TRUE     TRUE      TRUE
## 15     TRUE     TRUE     TRUE     TRUE     TRUE     TRUE     TRUE      TRUE
##    lokasi_11
## 1      FALSE
## 2      FALSE
## 3       TRUE
## 4       TRUE
## 5       TRUE
## 6       TRUE
## 7       TRUE
## 8       TRUE
## 9       TRUE
## 10      TRUE
## 11      TRUE
## 12      TRUE
## 13      TRUE
## 14      TRUE
## 15      TRUE
summary.best$adjr2 # adjusted R^2
##  [1] 0.7053393 0.7445768 0.7548747 0.7617038 0.7659493 0.7687739 0.7710128
##  [8] 0.7729737 0.7744659 0.7755346 0.7768815 0.7776365 0.7776633 0.7776419
## [15] 0.7775437
summary.best$cp    # Mallows' Cp
##  [1] 334.04327 154.45513 108.04321  77.62854  59.11012  47.13229  37.85715
##  [8]  29.87220  24.04330  20.15800  15.01567  12.57781  13.45628  14.55420
## [15]  16.00000
summary.best$bic   # BIC
##  [1] -1239.616 -1380.161 -1416.413 -1439.446 -1451.946 -1458.465 -1462.513
##  [8] -1465.404 -1466.240 -1465.186 -1465.434 -1462.989 -1457.193 -1451.176
## [15] -1444.807
# Plot kriteria untuk memilih model terbaik
par(mfrow = c(1, 3))
plot(summary.best$adjr2, type = "b", xlab = "Jumlah Variabel", ylab = "Adjusted R^2")
plot(summary.best$cp, type = "b", xlab = "Jumlah Variabel", ylab = "Cp")
plot(summary.best$bic, type = "b", xlab = "Jumlah Variabel", ylab = "BIC")

Adj \(R^2\)

Cp. Mallow’s

BIC

# Cari model terbaik berdasarkan kriteria
best.adjr2 = which.max(summary.best$adjr2)   # Adjusted R²
best.cp    = which.min(summary.best$cp)      # Mallows' Cp
best.bic   = which.min(summary.best$bic) 

cat("Model terbaik berdasarkan Adjusted R² adalah M", best.adjr2, "\n")
## Model terbaik berdasarkan Adjusted R² adalah M 13
cat("Model terbaik berdasarkan Mallows' Cp adalah M", best.cp, "\n")
## Model terbaik berdasarkan Mallows' Cp adalah M 12
cat("Model terbaik berdasarkan BIC adalah M", best.bic, "\n\n")
## Model terbaik berdasarkan BIC adalah M 9

Stepwise selection

A. Forward Stepwise Selection Model

fw.model = regsubsets(
  harga_rp ~ .,               
  data = rumah.clean,         
  nvmax = 15,                 
  method = "forward"          
  )
summary.fw = summary(fw.model)
summary.fw
## Subset selection object
## Call: regsubsets.formula(harga_rp ~ ., data = rumah.clean, nvmax = 15, 
##     method = "forward")
## 15 Variables  (and intercept)
##              Forced in Forced out
## jml_km_buah      FALSE      FALSE
## jml_kt_buah      FALSE      FALSE
## jml_gar_buah     FALSE      FALSE
## lt_m2            FALSE      FALSE
## lb_m2            FALSE      FALSE
## lokasi_2         FALSE      FALSE
## lokasi_3         FALSE      FALSE
## lokasi_4         FALSE      FALSE
## lokasi_5         FALSE      FALSE
## lokasi_6         FALSE      FALSE
## lokasi_7         FALSE      FALSE
## lokasi_8         FALSE      FALSE
## lokasi_9         FALSE      FALSE
## lokasi_10        FALSE      FALSE
## lokasi_11        FALSE      FALSE
## 1 subsets of each size up to 15
## Selection Algorithm: forward
##           jml_km_buah jml_kt_buah jml_gar_buah lt_m2 lb_m2 lokasi_2 lokasi_3
## 1  ( 1 )  " "         " "         " "          " "   "*"   " "      " "     
## 2  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 3  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 4  ( 1 )  " "         " "         "*"          "*"   "*"   " "      " "     
## 5  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 6  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 7  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 8  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 9  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 10  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 11  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 12  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 13  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 14  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 15  ( 1 ) "*"         "*"         "*"          "*"   "*"   "*"      "*"     
##           lokasi_4 lokasi_5 lokasi_6 lokasi_7 lokasi_8 lokasi_9 lokasi_10
## 1  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 2  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 3  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 4  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 5  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 6  ( 1 )  " "      " "      "*"      " "      " "      " "      " "      
## 7  ( 1 )  " "      " "      "*"      " "      " "      " "      " "      
## 8  ( 1 )  " "      " "      "*"      " "      " "      "*"      " "      
## 9  ( 1 )  " "      " "      "*"      "*"      " "      "*"      " "      
## 10  ( 1 ) " "      " "      "*"      "*"      " "      "*"      " "      
## 11  ( 1 ) "*"      " "      "*"      "*"      " "      "*"      " "      
## 12  ( 1 ) "*"      "*"      "*"      "*"      " "      "*"      " "      
## 13  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      " "      
## 14  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      "*"      
## 15  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      "*"      
##           lokasi_11
## 1  ( 1 )  " "      
## 2  ( 1 )  " "      
## 3  ( 1 )  "*"      
## 4  ( 1 )  "*"      
## 5  ( 1 )  "*"      
## 6  ( 1 )  "*"      
## 7  ( 1 )  "*"      
## 8  ( 1 )  "*"      
## 9  ( 1 )  "*"      
## 10  ( 1 ) "*"      
## 11  ( 1 ) "*"      
## 12  ( 1 ) "*"      
## 13  ( 1 ) "*"      
## 14  ( 1 ) "*"      
## 15  ( 1 ) "*"
length(summary.fw$adjr2)
## [1] 15
length(summary.fw$cp)
## [1] 15
length(summary.fw$bic)
## [1] 15
summary.fw = summary(fw.model)
# Buat tabel berisi Adjusted R², Cp, BIC
results = data.frame(
  Jumlah_Variabel = 1:15,
  Adj_R2 = summary.fw$adjr2,
  Cp = summary.fw$cp,
  BIC = summary.fw$bic
)
results
##    Jumlah_Variabel    Adj_R2        Cp       BIC
## 1                1 0.7053393 334.04327 -1239.616
## 2                2 0.7445768 154.45513 -1380.161
## 3                3 0.7548747 108.04321 -1416.413
## 4                4 0.7617038  77.62854 -1439.446
## 5                5 0.7659493  59.11012 -1451.946
## 6                6 0.7687739  47.13229 -1458.465
## 7                7 0.7710128  37.85715 -1462.513
## 8                8 0.7729737  29.87220 -1465.404
## 9                9 0.7744659  24.04330 -1466.240
## 10              10 0.7755346  20.15800 -1465.186
## 11              11 0.7768815  15.01567 -1465.434
## 12              12 0.7776365  12.57781 -1462.989
## 13              13 0.7776633  13.45628 -1457.193
## 14              14 0.7776419  14.55420 -1451.176
## 15              15 0.7775437  16.00000 -1444.807
# Cari model terbaik berdasarkan masing-masing kriteria
best_adjr2 = which.max(results$Adj_R2) # indeks model dengan Adj R² terbesar
best_cp    = which.min(results$Cp)     # indeks model dengan Cp terkecil
best_bic   = which.min(results$BIC)    # indeks model dengan BIC terkecil
# Visualisasi hasil seleksi
plot(fw.model, scale = "adjr2")   # plot berdasarkan Adjusted R²

plot(fw.model, scale = "bic")     # plot berdasarkan BIC

plot(fw.model, scale = "Cp")      # plot berdasarkan Cp

# Model terbaik menurut Adj R²
best_adjr2 = which.max(results$Adj_R2)
cat("Model terbaik (Adj R²) adalah model ke-", best_adjr2, 
    "dengan", best_adjr2, "variabel:\n")
## Model terbaik (Adj R²) adalah model ke- 13 dengan 13 variabel:
print(coef(fw.model, best_adjr2))
##  (Intercept)  jml_km_buah jml_gar_buah        lt_m2        lb_m2     lokasi_2 
##    291816672   -348858759    548018726      9874659     17315252   -663602572 
##     lokasi_3     lokasi_4     lokasi_5     lokasi_6     lokasi_7     lokasi_8 
##  -1120321342  -2309980205  -1704585505  -1791680736  -1826243671  -1384876063 
##     lokasi_9    lokasi_11 
##  -8635410307  -7260504250
# Model terbaik menurut Cp
best_cp = which.min(results$Cp)
cat("\nModel terbaik (Cp) adalah model ke-", best_cp, 
    "dengan", best_cp, "variabel:\n")
## 
## Model terbaik (Cp) adalah model ke- 12 dengan 12 variabel:
print(coef(fw.model, best_cp))
##  (Intercept)  jml_km_buah jml_gar_buah        lt_m2        lb_m2     lokasi_2 
##    267743676   -347230229    552292132      9848803     17314322   -644029765 
##     lokasi_3     lokasi_4     lokasi_5     lokasi_6     lokasi_7     lokasi_9 
##  -1100884583  -2292192499  -1688046277  -1771373825  -1807443177  -8623285982 
##    lokasi_11 
##  -7236937130
# Model terbaik menurut BIC
best_bic = which.min(results$BIC)
cat("\nModel terbaik (BIC) adalah model ke-", best_bic, 
    "dengan", best_bic, "variabel:\n")
## 
## Model terbaik (BIC) adalah model ke- 9 dengan 9 variabel:
print(coef(fw.model, best_bic))
##  (Intercept)  jml_km_buah jml_gar_buah        lt_m2        lb_m2     lokasi_3 
##   -184990729   -341162178    559543578      9719290     17697131   -699142186 
##     lokasi_6     lokasi_7     lokasi_9    lokasi_11 
##  -1416377909  -1429298516  -8300556125  -6909912357
# Ubah ke long format untuk ggplot (hasil forward stepwise)
results_long_fw = reshape2::melt(results, id.vars = "Jumlah_Variabel")

# Data titik model terbaik (Adj R², Cp, BIC) pada forward stepwise
best_points_fw = data.frame(
  Jumlah_Variabel = c(best_adjr2, best_cp, best_bic),
  value = c(results$Adj_R2[best_adjr2],
            results$Cp[best_cp],
            results$BIC[best_bic]),
  variable = c("Adj_R2","Cp","BIC")
)

# Plot hasil forward stepwise dengan model terbaik ditandai
ggplot(results_long_fw, aes(x = Jumlah_Variabel, y = value, color = variable)) +
  geom_line(size = 1) +
  geom_point(size = 2) +
  geom_point(data = best_points_fw, 
             aes(x = Jumlah_Variabel, y = value), 
             color = "red", size = 3, shape = 17) +
  theme_minimal() +
  labs(title = "Forward Stepwise Selection (Model Terbaik)",
       y = "Nilai Kriteria",
       x = "Jumlah Variabel",
       color = "Kriteria")
## Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
## ℹ Please use `linewidth` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

# Hasil model terbaik Forward Stepwise Selection
cat("Model terbaik (Adj R²):", best_adjr2, "variabel\n")
## Model terbaik (Adj R²): 13 variabel
cat("Model terbaik (Cp):", best_cp, "variabel\n")
## Model terbaik (Cp): 12 variabel
cat("Model terbaik (BIC):", best_bic, "variabel\n")
## Model terbaik (BIC): 9 variabel

Model terbaik berdasarkan \(R^2_{adj}\) adalah: model 11 dengan 11 variable

Model terbaik berdasarkan Cp. Mallow’s adalah : model 11 dengan 11 variable

Model terbaik berdasarkan BIC adalah : model 7 dengan 7 variable

B. Backward Stepwise Selection Model

# Backward Stepwise Selection
bw.model = regsubsets(harga_rp ~ ., 
                      data = rumah.clean, 
                      nbest = 1,      
                      nvmax = NULL,   
                      method = "backward")

# Ringkasan hasil backward stepwise
summary.bw = summary(bw.model)

# Buat tabel hasil
results.bw = data.frame(
  Jumlah_Variabel = 1:length(summary.bw$adjr2),
  Adj_R2 = summary.bw$adjr2,
  Cp = summary.bw$cp,
  BIC = summary.bw$bic
)
results.bw
##    Jumlah_Variabel    Adj_R2        Cp       BIC
## 1                1 0.7053393 334.04327 -1239.616
## 2                2 0.7445768 154.45513 -1380.161
## 3                3 0.7548747 108.04321 -1416.413
## 4                4 0.7617038  77.62854 -1439.446
## 5                5 0.7659493  59.11012 -1451.946
## 6                6 0.7687739  47.13229 -1458.465
## 7                7 0.7710128  37.85715 -1462.513
## 8                8 0.7729737  29.87220 -1465.404
## 9                9 0.7744659  24.04330 -1466.240
## 10              10 0.7755346  20.15800 -1465.186
## 11              11 0.7768815  15.01567 -1465.434
## 12              12 0.7776365  12.57781 -1462.989
## 13              13 0.7776633  13.45628 -1457.193
## 14              14 0.7776419  14.55420 -1451.176
## 15              15 0.7775437  16.00000 -1444.807
# Cari model terbaik berdasarkan masing-masing kriteria
best_adjr2_bw = which.max(results.bw$Adj_R2)
best_cp_bw    = which.min(results.bw$Cp)
best_bic_bw   = which.min(results.bw$BIC)

# Tampilkan variabel yang terpilih
cat("\nVariabel pada model terbaik (Adj R²):\n")
## 
## Variabel pada model terbaik (Adj R²):
print(coef(bw.model, best_adjr2_bw))
##  (Intercept)  jml_km_buah jml_gar_buah        lt_m2        lb_m2     lokasi_2 
##    291816672   -348858759    548018726      9874659     17315252   -663602572 
##     lokasi_3     lokasi_4     lokasi_5     lokasi_6     lokasi_7     lokasi_8 
##  -1120321342  -2309980205  -1704585505  -1791680736  -1826243671  -1384876063 
##     lokasi_9    lokasi_11 
##  -8635410307  -7260504250
cat("\nVariabel pada model terbaik (Cp):\n")
## 
## Variabel pada model terbaik (Cp):
print(coef(bw.model, best_cp_bw))
##  (Intercept)  jml_km_buah jml_gar_buah        lt_m2        lb_m2     lokasi_2 
##    267743676   -347230229    552292132      9848803     17314322   -644029765 
##     lokasi_3     lokasi_4     lokasi_5     lokasi_6     lokasi_7     lokasi_9 
##  -1100884583  -2292192499  -1688046277  -1771373825  -1807443177  -8623285982 
##    lokasi_11 
##  -7236937130
cat("\nVariabel pada model terbaik (BIC):\n")
## 
## Variabel pada model terbaik (BIC):
print(coef(bw.model, best_bic_bw))
##  (Intercept)  jml_km_buah jml_gar_buah        lt_m2        lb_m2     lokasi_3 
##   -184990729   -341162178    559543578      9719290     17697131   -699142186 
##     lokasi_6     lokasi_7     lokasi_9    lokasi_11 
##  -1416377909  -1429298516  -8300556125  -6909912357
# Visualisasi hasil backward stepwise
plot(bw.model, scale = "adjr2")  # pakai Adj R²

plot(bw.model, scale = "Cp")     # pakai Mallows' Cp

plot(bw.model, scale = "bic")    # pakai BIC

library(ggplot2)
library(reshape2)
results_bw_long = reshape2::melt(results.bw, id.vars = "Jumlah_Variabel")

ggplot(results_bw_long, aes(x = Jumlah_Variabel, y = value, color = variable)) +
  geom_line(size = 1) +
  geom_point(size = 2) +
  geom_point(data = data.frame(
    Jumlah_Variabel = c(best_adjr2_bw, best_cp_bw, best_bic_bw),
    value = c(results.bw$Adj_R2[best_adjr2_bw],
              results.bw$Cp[best_cp_bw],
              results.bw$BIC[best_bic_bw]),
    variable = c("Adj_R2","Cp","BIC")
  ), aes(x = Jumlah_Variabel, y = value),
  color = "red", size = 3, shape = 17) +
  theme_minimal() +
  labs(title = "Backward Stepwise Selection (Model Terbaik)",
       y = "Nilai Kriteria",
       x = "Jumlah Variabel",
       color = "Kriteria")

# # Hasil model terbaik Backward Stepwise Selection 
cat("Model terbaik (Backward - Adj R²):", best_adjr2_bw, "variabel\n")
## Model terbaik (Backward - Adj R²): 13 variabel
cat("Model terbaik (Backward - Cp):", best_cp_bw, "variabel\n")
## Model terbaik (Backward - Cp): 12 variabel
cat("Model terbaik (Backward - BIC):", best_bic_bw, "variabel\n")
## Model terbaik (Backward - BIC): 9 variabel

C. Hybrid Model

# Hybrid Stepwise Selection
hy.model = regsubsets(harga_rp ~ ., 
                      data = rumah.clean, 
                      nbest = 1, 
                      nvmax = NULL, 
                      method = "seqrep")

# Ringkasan hasil hybrid
summary.hy = summary(hy.model)

# Buat tabel hasil
results.hy = data.frame(
  Jumlah_Variabel = 1:length(summary.hy$adjr2),
  Adj_R2 = summary.hy$adjr2,
  Cp = summary.hy$cp,
  BIC = summary.hy$bic
)
results.hy
##    Jumlah_Variabel    Adj_R2        Cp       BIC
## 1                1 0.7053393 334.04327 -1239.616
## 2                2 0.7445768 154.45513 -1380.161
## 3                3 0.7548747 108.04321 -1416.413
## 4                4 0.7617038  77.62854 -1439.446
## 5                5 0.7559656 104.84207 -1409.130
## 6                6 0.7687739  47.13229 -1458.465
## 7                7 0.7710128  37.85715 -1462.513
## 8                8 0.7729737  29.87220 -1465.404
## 9                9 0.7744659  24.04330 -1466.240
## 10              10 0.7755346  20.15800 -1465.186
## 11              11 0.7768815  15.01567 -1465.434
## 12              12 0.7776365  12.57781 -1462.989
## 13              13 0.7776633  13.45628 -1457.193
## 14              14 0.7776419  14.55420 -1451.176
## 15              15 0.7775437  16.00000 -1444.807
# Hasil model terbaik Hybrid Selection
best_adjr2_hy = which.max(results.hy$Adj_R2)
best_cp_hy    = which.min(results.hy$Cp)
best_bic_hy   = which.min(results.hy$BIC)

cat("Model terbaik (Hybrid - Adj R²):", best_adjr2_hy, "variabel\n")
## Model terbaik (Hybrid - Adj R²): 13 variabel
cat("Model terbaik (Hybrid - Cp):", best_cp_hy, "variabel\n")
## Model terbaik (Hybrid - Cp): 12 variabel
cat("Model terbaik (Hybrid - BIC):", best_bic_hy, "variabel\n")
## Model terbaik (Hybrid - BIC): 9 variabel
# Variabel yang terpilih
cat("\nVariabel pada model terbaik (Adj R²):\n")
## 
## Variabel pada model terbaik (Adj R²):
print(coef(hy.model, best_adjr2_hy))
##  (Intercept)  jml_km_buah jml_gar_buah        lt_m2        lb_m2     lokasi_2 
##    291816672   -348858759    548018726      9874659     17315252   -663602572 
##     lokasi_3     lokasi_4     lokasi_5     lokasi_6     lokasi_7     lokasi_8 
##  -1120321342  -2309980205  -1704585505  -1791680736  -1826243671  -1384876063 
##     lokasi_9    lokasi_11 
##  -8635410307  -7260504250
cat("\nVariabel pada model terbaik (Cp):\n")
## 
## Variabel pada model terbaik (Cp):
print(coef(hy.model, best_cp_hy))
##  (Intercept)  jml_km_buah jml_gar_buah        lt_m2        lb_m2     lokasi_2 
##    267743676   -347230229    552292132      9848803     17314322   -644029765 
##     lokasi_3     lokasi_4     lokasi_5     lokasi_6     lokasi_7     lokasi_9 
##  -1100884583  -2292192499  -1688046277  -1771373825  -1807443177  -8623285982 
##    lokasi_11 
##  -7236937130
cat("\nVariabel pada model terbaik (BIC):\n")
## 
## Variabel pada model terbaik (BIC):
print(coef(hy.model, best_bic_hy))
##  (Intercept)  jml_km_buah jml_gar_buah        lt_m2        lb_m2     lokasi_3 
##   -184990729   -341162178    559543578      9719290     17697131   -699142186 
##     lokasi_6     lokasi_7     lokasi_9    lokasi_11 
##  -1416377909  -1429298516  -8300556125  -6909912357
# Ubah ke long format untuk ggplot (hasil hybrid stepwise)
results_hy_long = reshape2::melt(results.hy, id.vars = "Jumlah_Variabel")

# Data titik model terbaik (Adj R², Cp, BIC) pada hybrid stepwise
best_points_hy = data.frame(
  Jumlah_Variabel = c(best_adjr2_hy, best_cp_hy, best_bic_hy),
  value = c(results.hy$Adj_R2[best_adjr2_hy],
            results.hy$Cp[best_cp_hy],
            results.hy$BIC[best_bic_hy]),
  variable = c("Adj_R2","Cp","BIC")
)

# Plot hasil hybrid stepwise dengan model terbaik ditandai
ggplot(results_hy_long, aes(x = Jumlah_Variabel, y = value, color = variable)) +
  geom_line(size = 1) +
  geom_point(size = 2) +
  geom_point(data = best_points_hy, 
             aes(x = Jumlah_Variabel, y = value), 
             color = "red", size = 3, shape = 17) +
  theme_minimal() +
  labs(title = "Hybrid Stepwise Selection (Model Terbaik)",
       y = "Nilai Kriteria", 
       x = "Jumlah Variabel",
       color = "Kriteria")

library(MASS)
## 
## Attaching package: 'MASS'
## The following object is masked from 'package:dplyr':
## 
##     select
# model penuh
model_full = lm(harga_rp ~ ., data = rumah.clean)

# stepwise selection (AIC-based)
model_best = stepAIC(model_full, direction = "both")
## Start:  AIC=44452.32
## harga_rp ~ jml_km_buah + jml_kt_buah + jml_gar_buah + lt_m2 + 
##     lb_m2 + lokasi_2 + lokasi_3 + lokasi_4 + lokasi_5 + lokasi_6 + 
##     lokasi_7 + lokasi_8 + lokasi_9 + lokasi_10 + lokasi_11
## 
##                Df  Sum of Sq        RSS   AIC
## - jml_kt_buah   1 3.7280e+18 6.7910e+21 44451
## - lokasi_10     1 6.2655e+18 6.7936e+21 44451
## - lokasi_8      1 8.0203e+18 6.7953e+21 44452
## <none>                       6.7873e+21 44452
## - lokasi_5      1 3.1850e+19 6.8192e+21 44455
## - jml_km_buah   1 4.6261e+19 6.8336e+21 44457
## - lokasi_4      1 5.3549e+19 6.8409e+21 44458
## - lokasi_2      1 6.7044e+19 6.8544e+21 44460
## - lokasi_9      1 7.6255e+19 6.8636e+21 44462
## - lokasi_7      1 8.3361e+19 6.8707e+21 44463
## - lokasi_3      1 1.7479e+20 6.9621e+21 44476
## - lokasi_6      1 1.9268e+20 6.9800e+21 44479
## - jml_gar_buah  1 2.6995e+20 7.0573e+21 44490
## - lokasi_11     1 3.8483e+20 7.1722e+21 44507
## - lt_m2         1 9.8444e+20 7.7718e+21 44589
## - lb_m2         1 2.6838e+21 9.4712e+21 44792
## 
## Step:  AIC=44450.88
## harga_rp ~ jml_km_buah + jml_gar_buah + lt_m2 + lb_m2 + lokasi_2 + 
##     lokasi_3 + lokasi_4 + lokasi_5 + lokasi_6 + lokasi_7 + lokasi_8 + 
##     lokasi_9 + lokasi_10 + lokasi_11
## 
##                Df  Sum of Sq        RSS   AIC
## - lokasi_10     1 6.0681e+18 6.7971e+21 44450
## - lokasi_8      1 7.6629e+18 6.7987e+21 44450
## <none>                       6.7910e+21 44451
## + jml_kt_buah   1 3.7280e+18 6.7873e+21 44452
## - lokasi_5      1 3.0728e+19 6.8218e+21 44454
## - lokasi_4      1 5.1856e+19 6.8429e+21 44457
## - lokasi_2      1 6.5748e+19 6.8568e+21 44459
## - lokasi_9      1 7.3959e+19 6.8650e+21 44460
## - lokasi_7      1 8.2955e+19 6.8740e+21 44461
## - jml_km_buah   1 1.6168e+20 6.9527e+21 44473
## - lokasi_3      1 1.7213e+20 6.9632e+21 44475
## - lokasi_6      1 1.9281e+20 6.9839e+21 44478
## - jml_gar_buah  1 2.6674e+20 7.0578e+21 44488
## - lokasi_11     1 3.8742e+20 7.1785e+21 44506
## - lt_m2         1 1.0506e+21 7.8417e+21 44596
## - lb_m2         1 2.9552e+21 9.7463e+21 44819
## 
## Step:  AIC=44449.8
## harga_rp ~ jml_km_buah + jml_gar_buah + lt_m2 + lb_m2 + lokasi_2 + 
##     lokasi_3 + lokasi_4 + lokasi_5 + lokasi_6 + lokasi_7 + lokasi_8 + 
##     lokasi_9 + lokasi_11
## 
##                Df  Sum of Sq        RSS   AIC
## - lokasi_8      1 7.5443e+18 6.8047e+21 44449
## <none>                       6.7971e+21 44450
## + lokasi_10     1 6.0681e+18 6.7910e+21 44451
## + jml_kt_buah   1 3.5306e+18 6.7936e+21 44451
## - lokasi_5      1 3.0429e+19 6.8275e+21 44452
## - lokasi_4      1 5.1513e+19 6.8486e+21 44456
## - lokasi_2      1 6.3990e+19 6.8611e+21 44457
## - lokasi_9      1 7.3930e+19 6.8710e+21 44459
## - lokasi_7      1 8.2186e+19 6.8793e+21 44460
## - jml_km_buah   1 1.6009e+20 6.9572e+21 44472
## - lokasi_3      1 1.6952e+20 6.9666e+21 44473
## - lokasi_6      1 1.9099e+20 6.9881e+21 44476
## - jml_gar_buah  1 2.6877e+20 7.0659e+21 44488
## - lokasi_11     1 3.8665e+20 7.1838e+21 44505
## - lt_m2         1 1.0494e+21 7.8466e+21 44595
## - lb_m2         1 2.9547e+21 9.7518e+21 44818
## 
## Step:  AIC=44448.93
## harga_rp ~ jml_km_buah + jml_gar_buah + lt_m2 + lb_m2 + lokasi_2 + 
##     lokasi_3 + lokasi_4 + lokasi_5 + lokasi_6 + lokasi_7 + lokasi_9 + 
##     lokasi_11
## 
##                Df  Sum of Sq        RSS   AIC
## <none>                       6.8047e+21 44449
## + lokasi_8      1 7.5443e+18 6.7971e+21 44450
## + lokasi_10     1 5.9496e+18 6.7987e+21 44450
## + jml_kt_buah   1 3.1876e+18 6.8015e+21 44450
## - lokasi_5      1 2.9852e+19 6.8345e+21 44451
## - lokasi_4      1 5.0743e+19 6.8554e+21 44455
## - lokasi_2      1 6.0719e+19 6.8654e+21 44456
## - lokasi_9      1 7.3724e+19 6.8784e+21 44458
## - lokasi_7      1 8.0596e+19 6.8853e+21 44459
## - jml_km_buah   1 1.5867e+20 6.9633e+21 44471
## - lokasi_3      1 1.6481e+20 6.9695e+21 44471
## - lokasi_6      1 1.8730e+20 6.9920e+21 44475
## - jml_gar_buah  1 2.7357e+20 7.0782e+21 44487
## - lokasi_11     1 3.8435e+20 7.1890e+21 44503
## - lt_m2         1 1.0449e+21 7.8496e+21 44593
## - lb_m2         1 2.9544e+21 9.7590e+21 44817
summary(model_best)
## 
## Call:
## lm(formula = harga_rp ~ jml_km_buah + jml_gar_buah + lt_m2 + 
##     lb_m2 + lokasi_2 + lokasi_3 + lokasi_4 + lokasi_5 + lokasi_6 + 
##     lokasi_7 + lokasi_9 + lokasi_11, data = rumah.clean)
## 
## Residuals:
##        Min         1Q     Median         3Q        Max 
## -1.368e+10 -6.527e+08  1.552e+07  5.456e+08  2.057e+10 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   2.677e+08  2.628e+08   1.019 0.308549    
## jml_km_buah  -3.472e+08  7.148e+07  -4.858 1.38e-06 ***
## jml_gar_buah  5.523e+08  8.659e+07   6.379 2.71e-10 ***
## lt_m2         9.849e+06  7.900e+05  12.466  < 2e-16 ***
## lb_m2         1.731e+07  8.260e+05  20.961  < 2e-16 ***
## lokasi_2     -6.440e+08  2.143e+08  -3.005 0.002721 ** 
## lokasi_3     -1.101e+09  2.224e+08  -4.951 8.65e-07 ***
## lokasi_4     -2.292e+09  8.344e+08  -2.747 0.006119 ** 
## lokasi_5     -1.688e+09  8.011e+08  -2.107 0.035358 *  
## lokasi_6     -1.771e+09  3.356e+08  -5.278 1.60e-07 ***
## lokasi_7     -1.807e+09  5.221e+08  -3.462 0.000558 ***
## lokasi_9     -8.623e+09  2.604e+09  -3.311 0.000962 ***
## lokasi_11    -7.237e+09  9.572e+08  -7.560 8.98e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.593e+09 on 1012 degrees of freedom
## Multiple R-squared:  0.7802, Adjusted R-squared:  0.7776 
## F-statistic: 299.4 on 12 and 1012 DF,  p-value: < 2.2e-16

Mencari Metode Optimal

library(tictoc)
## 
## Attaching package: 'tictoc'
## The following object is masked from 'package:data.table':
## 
##     shift
library(leaps)
# Best subset
tic("Best Subset")
best.subset = regsubsets(
  harga_rp ~ ., 
  data = rumah.clean, 
  nvmax = ncol(rumah.clean) - 1 
)
toc()
## Best Subset: 0 sec elapsed
# FW Selection
tic("Forward Selection")
fw.model = regsubsets(
  harga_rp ~ .,               
  data = rumah.clean,         
  nvmax = 15,                 
  method = "forward"          
  )
toc()
## Forward Selection: 0.02 sec elapsed
# Backward Stepwise Selection
tic("Backward Selection")
bw.model = regsubsets(harga_rp ~ ., 
                      data = rumah.clean, 
                      nbest = 1,      
                      nvmax = NULL,   
                      method = "backward")
toc()
## Backward Selection: 0.01 sec elapsed
# Hybrid Selection
tic("Hybrid Selection")
hy.model = regsubsets(harga_rp ~ ., 
                      data = rumah.clean, 
                      nbest = 1, 
                      nvmax = NULL, 
                      method = "seqrep")
toc()
## Hybrid Selection: 0 sec elapsed

Cek Simetris

# Install dan load package kalau belum
library(glmnet)
## Loading required package: Matrix
## 
## Attaching package: 'Matrix'
## The following objects are masked from 'package:tidyr':
## 
##     expand, pack, unpack
## Loaded glmnet 4.1-10
# Siapkan X dan y
X = model.matrix(harga_rp ~ ., data = rumah.clean)[, -1]  # matrix prediktor
y = rumah.clean[["harga_rp"]] # ambil kolom respon secara pasti

length(y)   # harus 1025
## [1] 1025
nrow(X)     # harus 1025
## [1] 1025
str(rumah.clean)
## tibble [1,025 × 16] (S3: tbl_df/tbl/data.frame)
##  $ harga_rp    : num [1:1025] 2.00e+09 7.99e+08 2.30e+09 6.25e+09 6.00e+08 1.10e+09 5.50e+08 2.60e+09 4.50e+09 3.90e+09 ...
##  $ jml_km_buah : num [1:1025] 4 2 11 5 2 3 3 3 4 4 ...
##  $ jml_kt_buah : num [1:1025] 3 2 4 5 1 2 3 3 4 4 ...
##  $ jml_gar_buah: num [1:1025] 2 1 1 2 1 1 0 2 2 0 ...
##  $ lt_m2       : num [1:1025] 90 102 90 294 66 60 60 98 288 80 ...
##  $ lb_m2       : num [1:1025] 130 90 150 350 50 80 112 90 400 200 ...
##  $ lokasi_2    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_3    : num [1:1025] 0 1 0 0 1 0 0 0 0 0 ...
##  $ lokasi_4    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_5    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_6    : num [1:1025] 0 0 0 0 0 0 1 0 0 0 ...
##  $ lokasi_7    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_8    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_9    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_10   : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_11   : num [1:1025] 0 0 0 0 0 0 0 0 1 0 ...
# Histogram 
hist(rumah.clean$harga_rp, 
     main = "Histogram Harga Rumah", 
     xlab = "harga_rp")

# Density 
plot(density(rumah.clean$harga_rp), 
     main = "Density Harga Rumah")

# Boxplot 
boxplot(rumah.clean$harga_rp, 
        main = "Boxplot Harga Rumah", 
        horizontal = TRUE)

# Skewness
library(moments)
skewness(rumah.clean$harga_rp)
## [1] 4.683263
# QQ plot
qqnorm(rumah.clean$harga_rp)
qqline(rumah.clean$harga_rp, col = "red")

Transformasi Log

# Transformasi Log
rumah.log = rumah.clean
rumah.log$log_harga = log(rumah.clean$harga_rp)
str(rumah.log)
## tibble [1,025 × 17] (S3: tbl_df/tbl/data.frame)
##  $ harga_rp    : num [1:1025] 2.00e+09 7.99e+08 2.30e+09 6.25e+09 6.00e+08 1.10e+09 5.50e+08 2.60e+09 4.50e+09 3.90e+09 ...
##  $ jml_km_buah : num [1:1025] 4 2 11 5 2 3 3 3 4 4 ...
##  $ jml_kt_buah : num [1:1025] 3 2 4 5 1 2 3 3 4 4 ...
##  $ jml_gar_buah: num [1:1025] 2 1 1 2 1 1 0 2 2 0 ...
##  $ lt_m2       : num [1:1025] 90 102 90 294 66 60 60 98 288 80 ...
##  $ lb_m2       : num [1:1025] 130 90 150 350 50 80 112 90 400 200 ...
##  $ lokasi_2    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_3    : num [1:1025] 0 1 0 0 1 0 0 0 0 0 ...
##  $ lokasi_4    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_5    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_6    : num [1:1025] 0 0 0 0 0 0 1 0 0 0 ...
##  $ lokasi_7    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_8    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_9    : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_10   : num [1:1025] 0 0 0 0 0 0 0 0 0 0 ...
##  $ lokasi_11   : num [1:1025] 0 0 0 0 0 0 0 0 1 0 ...
##  $ log_harga   : num [1:1025] 21.4 20.5 21.6 22.6 20.2 ...
# Reset layout ke 1x1 (supaya tidak konflik dengan par(mfrow))
par(mfrow = c(1,1), mar = c(4,4,2,1))
# Histogram log_harga
hist(rumah.log$log_harga, breaks = 30,
     main = "Histogram Harga Rumah (Log)",
     xlab = "log(harga_rp)",
     col = "skyblue", border = "white")

# Density plot log_harga
plot(density(rumah.log$log_harga),
     main = "Density Harga Rumah (Log)",
     xlab = "log(harga_rp)",
     col = "blue", lwd = 2)

# Boxplot log_harga
boxplot(rumah.log$log_harga,
        main = "Boxplot Harga Rumah (Log)",
        horizontal = TRUE,
        col = "orange")

# QQ plot log_harga
qqnorm(rumah.log$log_harga,
       main = "QQ Plot Harga Rumah (Log)")
qqline(rumah.log$log_harga, col = "red", lwd = 2)

library(moments)
cat("Skewness harga asli  :", skewness(rumah.clean$harga_rp), "\n")
## Skewness harga asli  : 4.683263
cat("Skewness harga (log) :", skewness(rumah.log$log_harga), "\n")
## Skewness harga (log) : 0.6709699
# Standarisasi data
rumah.log.s = scale(rumah.log [, -1])
rumah.log.s
##         jml_km_buah jml_kt_buah jml_gar_buah        lt_m2        lb_m2
##    [1,]   0.5655616   0.3458367   0.90079381 -0.369829400 -0.187370149
##    [2,]  -0.8818807  -0.3293683   0.06897971 -0.304338001 -0.409648905
##    [3,]   5.6316100   1.0210418   0.06897971 -0.369829400 -0.076230770
##    [4,]   1.2892828   1.6962468   0.90079381  0.743524390  1.035163010
##    [5,]  -0.8818807  -1.0045733   0.06897971 -0.500812199 -0.631927661
##    [6,]  -0.1581596  -0.3293683   0.06897971 -0.533557899 -0.465218594
##    [7,]  -0.1581596   0.3458367  -0.76283439 -0.533557899 -0.287395589
##    [8,]  -0.1581596   0.3458367   0.90079381 -0.326168467 -0.409648905
##    [9,]   0.5655616   1.0210418   0.90079381  0.710778690  1.313011455
##   [10,]   0.5655616   1.0210418  -0.76283439 -0.424405566  0.201617675
##   [11,]   0.5655616   1.0210418   2.56442201  4.083585760  1.313011455
##   [12,]  -0.1581596   0.3458367   0.06897971 -0.293422767 -0.354079216
##   [13,]   0.5655616   1.0210418   2.56442201  1.851420563  0.868453943
##   [14,]   1.2892828   1.6962468   0.90079381  0.350575993  0.073807390
##   [15,]  -0.1581596   0.3458367   0.06897971 -0.615422148 -0.476332531
##   [16,]   1.2892828   1.0210418   0.90079381  0.454270709  1.868708345
##   [17,]   0.5655616   0.3458367   0.06897971  0.252338894  0.290529177
##   [18,]  -0.8818807  -0.3293683   0.06897971 -0.686371164 -0.604142816
##   [19,]   0.5655616   0.3458367   1.73260791  0.230508428  0.823998192
##   [20,]   2.7367252   0.3458367  -0.76283439  1.376607918  0.646175187
##   [21,]   1.2892828   0.3458367   1.73260791  1.638573515  0.979593321
##   [22,]  -0.1581596   0.3458367   0.06897971  0.694405840  0.823998192
##   [23,]  -0.1581596   0.3458367   0.06897971  1.867793413  1.313011455
##   [24,]  -0.1581596   0.3458367  -0.76283439  0.776270090  0.757314565
##   [25,]  -0.1581596   0.3458367   0.06897971  0.694405840  0.823998192
##   [26,]  -0.8818807  -0.3293683   0.06897971  0.257796511 -0.131800459
##   [27,]   0.5655616   1.6962468   0.90079381  0.547050192  1.313011455
##   [28,]  -0.8818807  -0.3293683   0.06897971 -0.615422148 -0.609699785
##   [29,]   0.5655616   1.6962468   0.90079381  0.841761489  1.301897517
##   [30,]   0.5655616   1.0210418   0.90079381 -0.397117483  0.018237701
##   [31,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.737510070
##   [32,]   1.2892828   1.0210418   0.06897971 -0.118779036  0.284972208
##   [33,]   0.5655616  -0.3293683   0.90079381  0.366948843  0.479466120
##   [34,]   0.5655616   0.3458367   0.90079381 -0.326168467 -0.209598024
##   [35,]   1.2892828   1.0210418   0.90079381 -0.075118103  0.229402519
##   [36,]   0.5655616   1.0210418   0.90079381  1.431184084  2.424405236
##   [37,]  -0.1581596  -0.3293683   0.06897971 -0.042372403 -0.242939838
##   [38,]  -0.8818807  -1.0045733   0.06897971 -0.500812199 -0.659712505
##   [39,]   0.5655616  -0.3293683   0.90079381  0.317830294 -0.354079216
##   [40,]  -0.1581596   1.0210418   0.90079381 -0.206100901 -0.131800459
##   [41,]   2.0130040   0.3458367   2.56442201  0.776270090  1.590859900
##   [42,]  -0.1581596   0.3458367   0.06897971 -0.369829400 -0.559687065
##   [43,]   1.2892828  -0.3293683   0.06897971 -0.184270435  0.007123763
##   [44,]   1.2892828  -0.3293683   0.06897971 -0.184270435  0.007123763
##   [45,]   2.0130040   0.3458367   0.90079381  0.279626977  0.201617675
##   [46,]   0.5655616   0.3458367   1.73260791  3.505078398  0.757314565
##   [47,]   0.5655616   1.0210418   0.06897971  0.219593195  0.479466120
##   [48,]  -0.1581596   0.3458367   0.90079381 -0.124236652 -0.298509527
##   [49,]  -0.1581596  -0.3293683   0.90079381 -0.440778416 -0.409648905
##   [50,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.615256754
##   [51,]   0.5655616   1.0210418   0.90079381  0.448813093  0.757314565
##   [52,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.520788283
##   [53,]  -0.1581596   0.3458367   0.06897971 -0.135151885 -0.020661081
##   [54,]  -0.1581596  -0.3293683   0.06897971 -0.549930748 -0.509674345
##   [55,]   0.5655616   1.0210418   0.06897971 -0.446236033  1.174087233
##   [56,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.520788283
##   [57,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.520788283
##   [58,]   0.5655616   1.0210418   0.90079381 -0.446236033  1.174087233
##   [59,]  -0.1581596  -0.3293683   0.06897971 -0.369829400 -0.659712505
##   [60,]  -0.1581596  -0.3293683   0.06897971 -0.309795617 -0.409648905
##   [61,]   1.2892828   1.6962468   0.06897971  0.776270090  0.896238787
##   [62,]  -0.1581596  -0.3293683   0.06897971 -0.517185049 -0.354079216
##   [63,]  -0.1581596  -0.3293683   0.06897971 -0.533557899 -0.604142816
##   [64,]   2.7367252   2.3714518   2.56442201  0.503389259  1.701999278
##   [65,]  -0.1581596  -0.3293683   0.90079381 -0.506269815 -0.465218594
##   [66,]   0.5655616   0.3458367  -0.76283439 -0.653625464 -0.559687065
##   [67,]  -0.8818807   0.3458367  -0.76283439 -0.424405566  0.423896431
##   [68,]   0.5655616   1.6962468   0.90079381 -0.151524735  0.990707259
##   [69,]  -0.1581596  -0.3293683   0.06897971 -0.468066499 -0.493003438
##   [70,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.520788283
##   [71,]   0.5655616   1.6962468   4.22805021  4.913143486  1.035163010
##   [72,]   1.2892828   0.3458367   0.06897971  1.704064915  0.201617675
##   [73,]   0.5655616  -0.3293683  -0.76283439 -0.369829400 -0.020661081
##   [74,]   1.2892828   1.6962468   2.56442201  0.994574754  1.590859900
##   [75,]  -0.1581596  -1.0045733   0.90079381 -0.293422767 -0.159585304
##   [76,]   1.2892828   1.6962468   0.90079381  2.473588858  2.424405236
##   [77,]  -0.1581596   0.3458367  -0.76283439  0.306915061 -0.298509527
##   [78,]   1.2892828   0.3458367   1.73260791  0.770812473  0.757314565
##   [79,]  -0.1581596  -0.3293683  -0.76283439 -0.025999553 -0.109572584
##   [80,]  -0.1581596   0.3458367  -0.76283439 -0.353456550 -0.226268931
##   [81,]   2.0130040   1.6962468   1.73260791  7.521884229  2.702253681
##   [82,]   0.5655616   0.3458367   0.06897971 -0.042372403  0.090478297
##   [83,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##   [84,]   0.5655616   1.0210418   0.90079381  0.710778690  1.313011455
##   [85,]  -0.1581596  -0.3293683  -0.76283439 -0.440778416 -0.465218594
##   [86,]  -0.1581596   0.3458367  -0.76283439 -0.178812818 -0.187370149
##   [87,]  -0.1581596  -0.3293683  -0.76283439 -0.369829400 -0.298509527
##   [88,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.576357972
##   [89,]  -0.1581596  -0.3293683  -0.76283439 -0.369829400 -0.437433749
##   [90,]  -0.1581596   0.3458367   0.06897971  0.121356096  0.073807390
##   [91,]   1.2892828   3.0466569   3.39623611  6.233886707  5.058408495
##   [92,]   0.5655616   0.3458367   0.90079381 -0.206100901 -0.003990175
##   [93,]   1.2892828  -0.3293683   0.06897971 -0.184270435  0.007123763
##   [94,]   1.2892828   1.6962468   2.56442201  2.937486270  0.896238787
##   [95,]   1.2892828  -0.3293683   0.06897971 -0.184270435  0.007123763
##   [96,]  -0.8818807  -1.0045733   0.06897971 -0.468066499 -0.709725225
##   [97,]   4.9078888   5.0722719   0.06897971 -0.451693649 -0.076230770
##   [98,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##   [99,]   4.9078888   5.0722719  -0.76283439 -0.484439349 -0.242939838
##  [100,]  -0.1581596   0.3458367   0.06897971 -0.511727432 -0.509674345
##  [101,]  -0.1581596   0.3458367   0.06897971 -0.560845982 -0.481889500
##  [102,]   0.5655616   1.0210418   0.90079381  0.503389259  2.224354355
##  [103,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.520788283
##  [104,]   1.2892828   1.0210418   0.90079381  0.230508428  0.757314565
##  [105,]   2.7367252   1.0210418   0.90079381  1.185591336  0.073807390
##  [106,]   0.5655616   1.0210418   0.06897971 -0.206100901 -0.081787739
##  [107,]   0.5655616   1.0210418   0.06897971 -0.206100901 -0.081787739
##  [108,]  -0.1581596   0.3458367   0.06897971 -0.511727432 -0.509674345
##  [109,]  -0.1581596   0.3458367   0.06897971 -0.380744633 -0.298509527
##  [110,]   0.5655616   0.3458367   0.90079381  0.798100556  0.340541897
##  [111,]  -0.1581596   1.0210418   0.90079381 -0.315253234  0.062693452
##  [112,]  -0.1581596  -0.3293683   0.90079381  0.274169361 -0.076230770
##  [113,]   1.2892828   2.3714518   2.56442201  1.594912582  1.868708345
##  [114,]   0.5655616   1.0210418   1.73260791  0.814473406  1.090732699
##  [115,]  -0.1581596  -0.3293683   0.90079381  0.317830294 -0.076230770
##  [116,]  -0.8818807   1.0210418   0.90079381  0.170474645 -0.215154993
##  [117,]   0.5655616   0.3458367   0.06897971 -0.162439969 -0.431876780
##  [118,]  -0.1581596   0.3458367   0.90079381 -0.478981732 -0.437433749
##  [119,]  -0.1581596   0.3458367   0.06897971 -0.599049298 -0.465218594
##  [120,]  -0.1581596  -0.3293683   0.06897971 -0.533557899 -0.509674345
##  [121,]  -0.1581596   0.3458367   0.06897971  0.225050811 -0.242939838
##  [122,]  -0.1581596   1.0210418   0.90079381 -0.118779036  0.757314565
##  [123,]  -0.8818807  -0.3293683   0.06897971 -0.533557899 -0.715282194
##  [124,]  -0.8818807  -0.3293683   0.06897971 -0.206100901 -0.520788283
##  [125,]   0.5655616   0.3458367   0.06897971 -0.271592301  0.479466120
##  [126,]  -0.1581596  -0.3293683  -0.76283439 -0.020541936 -0.520788283
##  [127,]  -0.8818807  -1.0045733   0.06897971 -0.697286397 -0.631927661
##  [128,]   0.5655616   0.3458367   0.90079381  0.230508428  0.512807933
##  [129,]  -0.8818807  -1.0045733   0.06897971 -0.287965151 -0.481889500
##  [130,]  -0.1581596  -0.3293683   0.06897971 -0.206100901 -0.187370149
##  [131,]  -0.1581596   0.3458367   0.06897971 -0.042372403  0.507250964
##  [132,]  -0.8818807  -0.3293683   0.06897971 -0.533557899 -0.615256754
##  [133,]  -0.1581596   0.3458367   0.06897971 -0.326168467 -0.254053775
##  [134,]   1.2892828   1.0210418   0.90079381 -0.206100901  0.090478297
##  [135,]   1.2892828   1.0210418   0.90079381  0.285084594  0.423896431
##  [136,]  -0.1581596  -0.3293683   0.06897971 -0.064202869 -0.354079216
##  [137,]   1.2892828   2.3714518   0.90079381  0.939998588  2.424405236
##  [138,]   1.2892828  -0.3293683  -0.76283439  3.068469069  1.868708345
##  [139,]  -0.1581596   0.3458367   0.90079381 -0.435320799 -0.376307091
##  [140,]   1.2892828   1.0210418   0.90079381 -0.042372403  0.479466120
##  [141,]   1.2892828   1.6962468   0.90079381  0.743524390  1.035163010
##  [142,]   0.5655616   1.0210418   0.90079381  0.230508428  0.340541897
##  [143,]   2.0130040   1.0210418   0.90079381  2.004233829  1.313011455
##  [144,]  -0.1581596   0.3458367   0.90079381 -0.435320799 -0.376307091
##  [145,]   1.2892828  -0.3293683  -0.76283439  3.068469069  1.868708345
##  [146,]  -0.1581596   0.3458367   0.90079381 -0.435320799 -0.376307091
##  [147,]   1.2892828   1.0210418   0.90079381 -0.042372403  0.479466120
##  [148,]   2.0130040   1.0210418   0.90079381  2.004233829  1.313011455
##  [149,]   0.5655616  -0.3293683   0.06897971 -0.369829400 -0.409648905
##  [150,]   0.5655616   0.3458367   0.90079381  0.563423042  0.423896431
##  [151,]   0.5655616   0.3458367   0.90079381  2.413555075  1.313011455
##  [152,]   0.5655616   1.0210418   0.06897971 -0.025999553  0.379440680
##  [153,]   0.5655616   1.0210418   0.90079381  0.230508428  0.435010369
##  [154,]   1.2892828   1.0210418   0.90079381  0.628914441  0.890681819
##  [155,]  -0.1581596   0.3458367   0.06897971 -0.533557899 -0.354079216
##  [156,]  -0.1581596  -0.3293683   0.06897971 -0.500812199 -0.548573127
##  [157,]  -0.8818807   0.3458367   0.06897971 -0.424405566 -0.437433749
##  [158,]  -0.1581596  -0.3293683   0.90079381 -0.478981732 -0.465218594
##  [159,]  -0.1581596   0.3458367   4.22805021  2.435385541  1.313011455
##  [160,]   2.7367252   3.0466569   2.56442201  1.300201285  3.535799016
##  [161,]   0.5655616   0.3458367   0.06897971 -0.206100901  0.201617675
##  [162,]   0.5655616  -0.3293683   0.06897971 -0.206100901  0.034908608
##  [163,]  -0.1581596  -0.3293683   0.06897971 -0.249761834 -0.242939838
##  [164,]  -0.1581596  -0.3293683   0.06897971 -0.315253234 -0.465218594
##  [165,]   0.5655616   0.3458367   0.90079381 -0.135151885 -0.437433749
##  [166,]   0.5655616   1.0210418   0.90079381  2.462673624  7.425677248
##  [167,]  -0.1581596  -1.0045733  -0.76283439 -0.167897585 -0.631927661
##  [168,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.743067039
##  [169,]   0.5655616   1.0210418   0.90079381 -0.446236033  1.174087233
##  [170,]  -0.8818807  -1.0045733   0.90079381 -0.238846601 -0.631927661
##  [171,]   2.0130040   3.0466569   2.56442201  2.653690206  3.535799016
##  [172,]   0.5655616   0.3458367   0.90079381  0.137728945  0.479466120
##  [173,]  -0.1581596   0.3458367   0.06897971  0.012203763 -0.276281651
##  [174,]   0.5655616   0.3458367   0.06897971 -0.577218831 -0.476332531
##  [175,]   0.5655616  -0.3293683   4.22805021  2.440843158  0.201617675
##  [176,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.726396132
##  [177,]  -0.1581596  -0.3293683   0.90079381 -0.402575100 -0.470775563
##  [178,]   0.5655616   1.0210418   0.90079381  1.125557553  1.868708345
##  [179,]  -0.1581596   1.0210418   0.06897971  0.230508428 -0.159585304
##  [180,]  -0.8818807  -1.0045733  -0.76283439 -0.369829400 -0.681940381
##  [181,]  -0.1581596   0.3458367  -0.76283439  0.929083355  0.201617675
##  [182,]   1.2892828   1.0210418   0.06897971 -0.178812818  0.201617675
##  [183,]  -0.1581596  -0.3293683  -0.76283439 -0.042372403 -0.076230770
##  [184,]   1.2892828   2.3714518   1.73260791  1.267455585  3.424659638
##  [185,]  -0.8818807  -1.0045733  -0.76283439 -0.364371783 -0.587471909
##  [186,]  -0.1581596  -0.3293683   0.06897971 -0.517185049 -0.565244034
##  [187,]  -0.1581596  -0.3293683   0.06897971  0.858134339 -0.031775019
##  [188,]  -0.8818807  -1.0045733   0.06897971 -0.326168467 -0.365193153
##  [189,]  -0.8818807  -1.0045733   0.06897971 -0.287965151 -0.576357972
##  [190,]  -0.1581596  -1.0045733   0.06897971 -0.369829400 -0.659712505
##  [191,]   1.2892828   0.3458367   0.90079381  0.421525010 -0.409648905
##  [192,]  -0.1581596   0.3458367   0.06897971 -0.140609502 -0.215154993
##  [193,]   0.5655616   0.3458367   0.90079381 -0.309795617 -0.076230770
##  [194,]  -0.8818807  -1.0045733   0.06897971 -0.364371783 -0.465218594
##  [195,]   0.5655616   0.3458367   0.06897971 -0.577218831 -0.476332531
##  [196,]  -0.8818807  -1.0045733   0.06897971 -0.249761834 -0.309623464
##  [197,]   1.2892828   1.0210418   0.90079381 -0.015084320 -0.131800459
##  [198,]   1.2892828  -0.3293683   0.06897971 -0.053287636 -0.187370149
##  [199,]  -0.8818807  -0.3293683   0.06897971 -0.315253234 -0.520788283
##  [200,]   0.5655616   0.3458367   0.06897971 -0.151524735 -0.381864060
##  [201,]   1.2892828   1.0210418   0.06897971  0.841761489  1.757568967
##  [202,]  -0.1581596  -0.3293683   0.06897971 -0.375287017 -0.437433749
##  [203,]  -0.8818807  -0.3293683   0.06897971 -0.468066499 -0.643041599
##  [204,]   0.5655616  -0.3293683   0.06897971  0.290542211 -0.548573127
##  [205,]   0.5655616   1.0210418   0.06897971  0.230508428  0.201617675
##  [206,]   2.0130040   1.6962468   0.90079381  1.152845636  1.868708345
##  [207,]   0.5655616   0.3458367   0.90079381 -0.069660486  0.146047986
##  [208,]   0.5655616   0.3458367   0.90079381  1.474845017  1.590859900
##  [209,]   1.2892828   1.0210418   1.73260791  2.413555075  2.980102126
##  [210,]   0.5655616   1.6962468   1.73260791  1.933284813  1.868708345
##  [211,]   0.5655616  -0.3293683  -0.76283439 -0.206100901  0.757314565
##  [212,]   0.5655616   0.3458367   0.06897971  0.503389259 -0.076230770
##  [213,]  -0.1581596  -0.3293683   0.06897971 -0.517185049 -0.487446469
##  [214,]  -0.8818807  -1.0045733   0.06897971 -0.468066499 -0.687497350
##  [215,]  -0.1581596  -0.3293683   0.90079381 -0.369829400 -0.465218594
##  [216,]   1.2892828   1.0210418   0.90079381  1.076439004  1.107403606
##  [217,]  -0.1581596  -0.3293683  -0.76283439  0.230508428 -0.076230770
##  [218,]  -0.1581596   0.3458367   1.73260791  0.121356096  0.423896431
##  [219,]   4.1841676   5.7474770   1.73260791  9.917777924 12.288025037
##  [220,]   0.5655616   1.0210418   0.90079381 -0.287965151  0.201617675
##  [221,]  -0.1581596  -0.3293683   0.06897971 -0.315253234 -0.354079216
##  [222,]  -0.8818807  -0.3293683   0.90079381 -0.178812818 -0.076230770
##  [223,]   0.5655616  -0.3293683  -0.76283439 -0.358914167 -0.398534967
##  [224,]  -0.1581596  -0.3293683  -0.76283439 -0.468066499 -0.242939838
##  [225,]  -0.8818807  -0.3293683  -0.76283439 -0.533557899 -0.643041599
##  [226,]  -0.1581596  -1.0045733  -0.76283439 -0.468066499 -0.631927661
##  [227,]   1.2892828   0.3458367   0.06897971  1.201964186  0.757314565
##  [228,]   1.2892828   0.3458367  -0.76283439  0.776270090  0.757314565
##  [229,]  -0.8818807  -0.3293683  -0.76283439 -0.468066499 -0.576357972
##  [230,]   0.5655616  -0.3293683  -0.76283439  1.147388020  0.146047986
##  [231,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.643041599
##  [232,]   8.5264947   8.4482971  -0.76283439  0.612541591  1.313011455
##  [233,]   1.2892828   1.6962468   3.39623611  7.172596765  1.868708345
##  [234,]   1.2892828   3.7218619   0.90079381  1.824132480  3.535799016
##  [235,]   0.5655616   1.0210418   0.90079381 -0.173355202  0.479466120
##  [236,]  -0.1581596  -0.3293683   0.06897971 -0.533557899 -0.465218594
##  [237,]  -0.1581596   1.0210418   0.06897971  0.230508428  0.479466120
##  [238,]   0.5655616  -0.3293683   0.90079381 -0.320710850 -0.354079216
##  [239,]   0.5655616  -0.3293683   0.90079381 -0.206100901 -0.354079216
##  [240,]  -0.1581596  -0.3293683   0.90079381 -0.391659866 -0.493003438
##  [241,]  -0.8818807  -1.0045733   0.06897971 -0.293422767 -0.520788283
##  [242,]  -0.8818807  -0.3293683   0.06897971 -0.686371164 -0.687497350
##  [243,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.709725225
##  [244,]   0.5655616   0.3458367   2.56442201  0.017661380  0.034908608
##  [245,]  -0.1581596   0.3458367   0.06897971 -0.369829400 -0.176256211
##  [246,]   0.5655616   1.0210418   4.22805021  3.505078398  1.868708345
##  [247,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.715282194
##  [248,]   0.5655616   0.3458367   0.06897971 -0.025999553  0.340541897
##  [249,]  -0.1581596  -0.3293683   0.90079381 -0.468066499 -0.354079216
##  [250,]  -0.1581596   0.3458367   0.06897971 -0.511727432 -0.509674345
##  [251,]  -0.1581596  -0.3293683   0.06897971  0.366948843  0.201617675
##  [252,]   1.2892828   0.3458367   2.56442201  1.611285432  1.313011455
##  [253,]   0.5655616   0.3458367   0.90079381  0.203220345  0.034908608
##  [254,]   0.5655616   2.3714518   0.90079381  1.431184084  3.480229327
##  [255,]   1.2892828   1.6962468   0.06897971  0.159559412  0.757314565
##  [256,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.676383412
##  [257,]   1.2892828   0.3458367   2.56442201  2.195250410  2.424405236
##  [258,]  -0.8818807  -1.0045733   0.06897971 -0.528100282 -0.709725225
##  [259,]  -0.8818807  -1.0045733   0.90079381 -0.167897585 -0.631927661
##  [260,]   1.2892828   1.0210418   0.06897971 -0.162439969 -0.031775019
##  [261,]  -0.1581596   0.3458367   0.06897971 -0.080575719 -0.287395589
##  [262,]  -0.8818807  -1.0045733   0.06897971 -0.369829400 -0.631927661
##  [263,]  -0.1581596  -0.3293683  -0.76283439 -0.402575100 -0.242939838
##  [264,]   0.5655616   1.0210418   0.90079381  0.023118996 -0.020661081
##  [265,]  -0.8818807  -1.0045733   0.06897971 -0.435320799 -0.548573127
##  [266,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.709725225
##  [267,]   1.2892828   0.3458367   1.73260791  1.867793413  1.313011455
##  [268,]  -0.1581596  -0.3293683   0.90079381 -0.609964531 -0.520788283
##  [269,]  -0.1581596  -0.3293683   0.06897971 -0.227931368 -0.076230770
##  [270,]   3.4604464   3.7218619   0.06897971 -0.500812199 -0.242939838
##  [271,]  -0.8818807  -1.0045733   0.06897971 -0.451693649 -0.659712505
##  [272,]  -0.8818807  -1.0045733   0.06897971 -0.702744014 -0.687497350
##  [273,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.698611288
##  [274,]  -0.1581596  -0.3293683  -0.76283439  0.121356096 -0.020661081
##  [275,]  -0.8818807  -1.0045733  -0.76283439  0.661660141 -0.520788283
##  [276,]  -0.8818807  -1.0045733   0.06897971 -0.287965151 -0.604142816
##  [277,]  -0.8818807  -1.0045733   0.06897971 -0.287965151 -0.409648905
##  [278,]  -0.8818807  -1.0045733   0.06897971 -0.478981732 -0.631927661
##  [279,]  -0.8818807  -0.3293683   0.06897971 -0.468066499 -0.576357972
##  [280,]   0.5655616   1.0210418   0.90079381  0.230508428  0.757314565
##  [281,]   3.4604464   1.0210418   1.73260791  1.103727087  1.479720522
##  [282,]  -0.8818807  -1.0045733  -0.76283439 -0.206100901 -0.242939838
##  [283,]  -0.1581596  -0.3293683   0.90079381  1.065523770  1.035163010
##  [284,]  -0.1581596  -0.3293683   0.06897971 -0.642710231 -0.609699785
##  [285,]  -0.8818807  -0.3293683   0.06897971 -0.468066499 -0.476332531
##  [286,]  -0.1581596   0.3458367   0.06897971 -0.468066499 -0.215154993
##  [287,]  -0.1581596   0.3458367   0.90079381 -0.402575100 -0.298509527
##  [288,]  -0.1581596  -1.0045733   0.06897971 -0.478981732 -0.631927661
##  [289,]  -0.1581596   0.3458367   0.06897971 -0.451693649  0.757314565
##  [290,]  -0.1581596   0.3458367   0.06897971 -0.244304218 -0.354079216
##  [291,]  -0.1581596  -0.3293683   0.90079381  0.470643559  0.446124306
##  [292,]  -0.8818807  -1.0045733   0.06897971 -0.424405566 -0.465218594
##  [293,]   2.0130040  -0.3293683   1.73260791  0.366948843  0.757314565
##  [294,]  -0.8818807  -1.0045733   0.06897971 -0.500812199 -0.604142816
##  [295,]  -0.1581596  -0.3293683   0.90079381 -0.364371783 -0.465218594
##  [296,]  -0.8818807  -0.3293683   0.06897971  0.230508428  0.201617675
##  [297,]   0.5655616   0.3458367   0.06897971  0.230508428  0.034908608
##  [298,]  -0.1581596  -0.3293683   0.06897971 -0.249761834 -0.404091936
##  [299,]   0.5655616   0.3458367   0.06897971 -0.206100901 -0.020661081
##  [300,]  -0.1581596  -0.3293683   0.90079381 -0.533557899 -0.548573127
##  [301,]   0.5655616  -0.3293683  -0.76283439 -0.222473751 -0.104015615
##  [302,]  -0.1581596   0.3458367   0.06897971  0.672575374  0.384997648
##  [303,]  -0.1581596   0.3458367   0.90079381 -0.528100282 -0.598585847
##  [304,]  -0.1581596   0.3458367   0.06897971 -0.533557899 -0.576357972
##  [305,]   3.4604464   3.0466569   3.39623611  2.315317976  0.440567337
##  [306,]   9.9739371   9.7987072   0.06897971 -0.042372403  3.257950571
##  [307,]  -0.1581596  -0.3293683   0.06897971  0.072237546  0.040465576
##  [308,]  -0.1581596  -0.3293683  -0.76283439 -0.337083700 -0.170699242
##  [309,]  -0.1581596   0.3458367   0.90079381 -0.413490333 -0.270724682
##  [310,]   2.0130040   2.3714518   0.90079381  2.167962327  3.257950571
##  [311,]   0.5655616   1.0210418   0.90079381  0.317830294  0.796213347
##  [312,]   2.7367252   3.0466569   2.56442201  2.577283573  3.535799016
##  [313,]   0.5655616   0.3458367   0.06897971 -0.135151885 -0.437433749
##  [314,]  -0.1581596   0.3458367   0.06897971 -0.260677068  0.146047986
##  [315,]   0.5655616   0.3458367   0.06897971 -0.069660486 -0.187370149
##  [316,]  -0.1581596  -1.0045733  -0.76283439 -0.096948569 -0.465218594
##  [317,]  -0.8818807  -1.0045733   0.90079381 -0.238846601 -0.659712505
##  [318,]  -0.1581596  -0.3293683  -0.76283439  0.121356096 -0.209598024
##  [319,]   1.2892828   1.0210418  -0.76283439  1.976945746  2.424405236
##  [320,]  -0.8818807  -1.0045733   0.06897971 -0.206100901 -0.409648905
##  [321,]   0.5655616  -1.0045733   0.06897971  0.055864696 -0.187370149
##  [322,]  -0.1581596  -1.0045733   0.06897971 -0.244304218  0.201617675
##  [323,]  -0.1581596  -0.3293683   0.06897971 -0.287965151 -0.587471909
##  [324,]   0.5655616   1.6962468   0.06897971 -0.064202869  0.479466120
##  [325,]   2.0130040  -0.3293683   0.90079381  1.005489988  0.146047986
##  [326,]  -0.8818807  -1.0045733   0.06897971 -0.424405566 -0.520788283
##  [327,]  -0.1581596   0.3458367   0.06897971 -0.326168467 -0.076230770
##  [328,]   0.5655616   0.3458367   0.90079381  0.148644179  0.590605498
##  [329,]  -0.8818807  -0.3293683   0.06897971 -0.315253234 -0.465218594
##  [330,]  -0.1581596  -0.3293683  -0.76283439  0.328745527  0.284972208
##  [331,]  -0.8818807  -1.0045733   0.06897971 -0.206100901 -0.659712505
##  [332,]   0.5655616   1.0210418   1.73260791  1.818674864  1.651986558
##  [333,]  -0.1581596   0.3458367   0.06897971 -0.560845982 -0.242939838
##  [334,]  -0.8818807  -0.3293683   0.90079381 -0.402575100 -0.498560407
##  [335,]  -0.1581596  -0.3293683   0.06897971 -0.522642665 -0.520788283
##  [336,]   0.5655616   1.0210418   0.90079381  1.545794033  3.591368705
##  [337,]   2.0130040   0.3458367   1.73260791  1.322031751  0.885124850
##  [338,]  -0.1581596  -0.3293683   0.90079381 -0.156982352 -0.409648905
##  [339,]   1.2892828  -0.3293683   0.06897971  0.448813093  0.201617675
##  [340,]  -0.8818807  -1.0045733   0.06897971  1.431184084 -0.354079216
##  [341,]  -1.6056019  -1.0045733  -0.76283439  2.004233829  2.007632568
##  [342,]  -1.6056019  -1.0045733  -0.76283439  0.639829674  0.618390342
##  [343,]  -1.6056019  -1.0045733  -0.76283439  2.637317356  2.652240961
##  [344,]  -1.6056019  -1.0045733  -0.76283439 -0.533557899 -0.576357972
##  [345,]  -1.6056019  -1.0045733  -0.76283439  0.121356096  0.090478297
##  [346,]  -1.6056019  -1.0045733  -0.76283439 -0.397117483 -0.437433749
##  [347,]  -1.6056019  -1.0045733  -0.76283439 -0.025999553 -0.059559864
##  [348,]  -1.6056019  -1.0045733  -0.76283439 -0.173355202 -0.209598024
##  [349,]  -1.6056019  -1.0045733  -0.76283439  0.066779929  0.034908608
##  [350,]  -1.6056019  -1.0045733  -0.76283439  2.489961708  2.502202800
##  [351,]  -1.6056019  -1.0045733  -0.76283439  0.841761489  0.823998192
##  [352,]  -1.6056019  -1.0045733  -0.76283439  0.694405840  0.673960031
##  [353,]  -1.6056019  -1.0045733  -0.76283439 -0.380744633 -0.420762842
##  [354,]  -1.6056019  -1.0045733  -0.76283439 -0.309795617 -0.348522247
##  [355,]  -1.6056019  -1.0045733  -0.76283439 -0.440778416 -0.481889500
##  [356,]  -1.6056019  -1.0045733  -0.76283439 -0.200643285 -0.237382869
##  [357,]   1.2892828   1.0210418   0.06897971  0.083152779  0.396111586
##  [358,]  -0.8818807  -0.3293683   0.90079381 -0.402575100 -0.498560407
##  [359,]  -0.8818807  -1.0045733   0.06897971 -0.364371783 -0.659712505
##  [360,]  -0.1581596  -0.3293683   0.06897971 -0.637252614 -0.604142816
##  [361,]   2.0130040   1.6962468   0.06897971  4.820364003  4.091495906
##  [362,]  -0.1581596  -1.0045733  -0.76283439 -0.429863183 -0.604142816
##  [363,]  -0.8818807  -1.0045733   0.06897971 -0.315253234 -0.687497350
##  [364,]  -0.8818807  -0.3293683   0.06897971 -0.533557899 -0.843092479
##  [365,]  -0.8818807  -0.3293683   0.90079381 -0.402575100 -0.498560407
##  [366,]  -0.8818807  -0.3293683   0.90079381 -0.402575100 -0.498560407
##  [367,]  -0.8818807  -0.3293683   0.90079381 -0.402575100 -0.498560407
##  [368,]  -0.8818807  -0.3293683   0.90079381 -0.402575100 -0.498560407
##  [369,]  -0.8818807  -0.3293683   0.90079381 -0.402575100 -0.498560407
##  [370,]   0.5655616   1.6962468   0.90079381  0.416067393  0.757314565
##  [371,]  -0.1581596  -0.3293683   0.06897971 -0.167897585 -0.342965278
##  [372,]  -0.1581596   0.3458367   0.06897971 -0.620879764 -0.509674345
##  [373,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.687497350
##  [374,]  -0.1581596  -0.3293683   0.06897971 -0.533557899 -0.576357972
##  [375,]  -0.1581596  -0.3293683  -0.76283439  0.023118996  0.868453943
##  [376,]   0.5655616   1.0210418   0.90079381  0.885422422  1.590859900
##  [377,]   0.5655616   0.3458367  -0.76283439  0.361491227 -0.159585304
##  [378,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [379,]  -0.8818807  -0.3293683   0.90079381 -0.206100901 -0.326294371
##  [380,]  -0.1581596  -0.3293683  -0.76283439 -0.451693649 -0.354079216
##  [381,]   1.2892828   1.0210418   0.90079381  1.038235687 -0.076230770
##  [382,]   0.5655616   1.0210418   3.39623611  0.776270090  0.912909694
##  [383,]  -0.1581596  -0.3293683   0.90079381 -0.478981732 -0.526345252
##  [384,]   0.5655616   0.3458367   0.90079381  0.121356096  0.479466120
##  [385,]  -0.1581596   0.3458367   0.06897971 -0.369829400 -0.242939838
##  [386,]   0.5655616   0.3458367   0.90079381 -0.369829400 -0.187370149
##  [387,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.659712505
##  [388,]  -0.1581596   0.3458367   0.90079381 -0.326168467 -0.409648905
##  [389,]  -0.1581596  -0.3293683   0.06897971 -0.309795617  0.423896431
##  [390,]   0.5655616   1.0210418  -0.76283439 -0.424405566  0.201617675
##  [391,]   0.5655616   1.0210418   1.73260791  2.413555075  1.590859900
##  [392,]   0.5655616   0.3458367   0.90079381  0.650744907  0.757314565
##  [393,]   0.5655616   1.0210418   0.90079381  1.551251649  1.868708345
##  [394,]  -0.1581596  -0.3293683   0.90079381 -0.326168467 -0.487446469
##  [395,]   2.0130040   1.6962468   1.73260791  7.521884229  2.702253681
##  [396,]  -0.1581596  -0.3293683  -0.76283439 -0.249761834 -0.131800459
##  [397,]  -0.1581596   1.0210418   0.90079381 -0.124236652 -0.042888957
##  [398,]   8.5264947   8.4482971   4.22805021  0.317830294  1.868708345
##  [399,]  -0.1581596   0.3458367   0.06897971 -0.615422148 -0.476332531
##  [400,]  -0.1581596   0.3458367   0.06897971 -0.331626084 -0.476332531
##  [401,]   0.5655616   1.0210418   0.06897971 -0.173355202 -0.209598024
##  [402,]   0.5655616   1.0210418   0.90079381  0.012203763  0.146047986
##  [403,]   1.2892828   1.0210418   0.90079381  0.667117757  1.313011455
##  [404,]   0.5655616   1.0210418   0.90079381  2.413555075  0.757314565
##  [405,]   0.5655616   0.3458367   0.90079381 -0.402575100 -0.348522247
##  [406,]   0.5655616   1.0210418  -0.76283439  0.497931642  0.312757053
##  [407,]  -0.1581596  -0.3293683   0.06897971 -0.397117483 -0.298509527
##  [408,]  -0.1581596   0.3458367   0.90079381 -0.451693649 -0.315180433
##  [409,]  -0.1581596   0.3458367   0.06897971 -0.206100901  0.423896431
##  [410,]  -0.1581596   0.3458367   0.90079381 -0.424405566 -0.326294371
##  [411,]  -0.1581596  -0.3293683   0.06897971 -0.315253234 -0.631927661
##  [412,]  -0.8818807  -0.3293683   0.06897971 -0.555388365 -0.437433749
##  [413,]   0.5655616   1.0210418   0.90079381 -0.206100901  0.107149203
##  [414,]  -0.1581596  -0.3293683   0.06897971  0.432440243  0.057136483
##  [415,]   0.5655616   0.3458367   0.90079381 -0.140609502  0.201617675
##  [416,]   0.5655616   0.3458367   0.90079381 -0.140609502  0.201617675
##  [417,]   1.2892828   1.0210418   4.22805021  0.776270090  1.313011455
##  [418,]  -0.1581596   0.3458367   0.90079381  0.165017028  0.757314565
##  [419,]   1.2892828   1.6962468  -0.76283439 -0.042372403  0.479466120
##  [420,]   0.5655616   1.0210418   0.90079381 -0.369829400  0.340541897
##  [421,]   0.5655616   0.3458367   0.06897971  0.459728326  1.035163010
##  [422,]  -0.1581596  -0.3293683   0.06897971 -0.369829400  0.201617675
##  [423,]   0.5655616   1.0210418   0.90079381 -0.451693649  0.340541897
##  [424,]  -0.1581596  -0.3293683   2.56442201 -0.124236652  0.562820653
##  [425,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.520788283
##  [426,]  -0.1581596   0.3458367   0.90079381  0.776270090  1.729784123
##  [427,]  -0.1581596  -0.3293683   0.06897971 -0.468066499 -0.442990718
##  [428,]  -0.1581596  -0.3293683   0.06897971 -0.468066499 -0.215154993
##  [429,]   0.5655616   0.3458367   0.90079381 -0.337083700 -0.292952558
##  [430,]  -0.8818807  -0.3293683   0.06897971 -0.533557899 -0.520788283
##  [431,]  -0.1581596   0.3458367   0.90079381 -0.468066499 -0.459661625
##  [432,]   0.5655616   0.3458367   0.90079381 -0.468066499 -0.448547687
##  [433,]  -0.1581596   0.3458367   0.06897971 -0.533557899 -0.476332531
##  [434,]   1.2892828   0.3458367   0.06897971 -0.369829400  0.340541897
##  [435,]   0.5655616   0.3458367   0.90079381  3.303146584  3.813647461
##  [436,]   0.5655616   1.0210418   0.90079381  2.331690826  1.368581144
##  [437,]  -0.1581596  -0.3293683   0.06897971 -0.402575100 -0.442990718
##  [438,]  -0.1581596   0.3458367   0.90079381 -0.533557899 -0.520788283
##  [439,]  -0.1581596   1.0210418   0.06897971 -0.025999553 -0.020661081
##  [440,]  -0.1581596   0.3458367   0.90079381 -0.206100901 -0.026218050
##  [441,]   0.5655616   1.0210418   0.90079381 -0.042372403  0.407225524
##  [442,]  -0.1581596  -0.3293683   0.06897971 -0.042372403 -0.242939838
##  [443,]  -0.1581596  -0.3293683   0.90079381  0.175932262 -0.076230770
##  [444,]   2.0130040   1.6962468   2.56442201  1.758641081  1.879822283
##  [445,]  -0.1581596   1.0210418   0.90079381 -0.206100901 -0.131800459
##  [446,]   0.5655616   0.3458367   0.06897971 -0.369829400 -0.204041055
##  [447,]   1.2892828   1.0210418   0.06897971  0.437897859  1.035163010
##  [448,]   0.5655616   0.3458367   0.06897971 -0.533557899 -0.331851340
##  [449,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.520788283
##  [450,]   1.2892828   1.6962468   3.39623611  1.878708646  1.268555704
##  [451,]   1.2892828   1.0210418   0.90079381  1.878708646  1.224099953
##  [452,]  -0.1581596   1.0210418   0.90079381 -0.025999553  0.018237701
##  [453,]  -0.1581596  -0.3293683  -0.76283439 -0.337083700 -0.131800459
##  [454,]  -0.1581596   0.3458367  -0.76283439 -0.271592301 -0.326294371
##  [455,]   0.5655616   1.0210418   0.90079381 -0.025999553  0.618390342
##  [456,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.520788283
##  [457,]  -0.1581596   0.3458367   0.06897971 -0.468066499 -0.354079216
##  [458,]   0.5655616   0.3458367   0.06897971 -0.249761834 -0.170699242
##  [459,]   0.5655616   0.3458367   4.22805021  7.762019360  2.980102126
##  [460,]  -0.8818807  -0.3293683   0.06897971 -0.697286397 -0.587471909
##  [461,]  -0.1581596   1.0210418   0.06897971 -0.206100901 -0.187370149
##  [462,]   0.5655616   0.3458367   0.06897971  0.121356096 -0.354079216
##  [463,]  -0.8818807  -0.3293683   0.90079381 -0.615422148 -0.659712505
##  [464,]   2.0130040   1.0210418   0.90079381  1.185591336  1.868708345
##  [465,]  -0.1581596   0.3458367   0.06897971 -0.528100282 -0.270724682
##  [466,]   0.5655616   1.6962468   0.90079381  1.987860979  6.703271290
##  [467,]   0.5655616   1.6962468   0.90079381  0.154101795  0.757314565
##  [468,]  -0.8818807  -0.3293683  -0.76283439 -0.724574480 -0.698611288
##  [469,]  -0.1581596  -0.3293683   0.90079381 -0.402575100 -0.470775563
##  [470,]  -0.1581596   0.3458367   0.06897971 -0.364371783 -0.076230770
##  [471,]  -0.1581596  -0.3293683   0.90079381 -0.468066499 -0.409648905
##  [472,]  -0.1581596  -0.3293683   0.06897971 -0.533557899 -0.604142816
##  [473,]  -0.1581596  -0.3293683   0.06897971 -0.446236033 -0.465218594
##  [474,]  -0.1581596  -0.3293683   0.06897971 -0.506269815 -0.465218594
##  [475,]   1.2892828   0.3458367  -0.76283439 -0.369829400  0.173832830
##  [476,]   1.2892828   1.6962468  -0.76283439  0.476101176  0.535035809
##  [477,]   1.2892828   1.0210418  -0.76283439 -0.206100901  0.157161923
##  [478,]   0.5655616   0.3458367  -0.76283439  0.230508428 -0.076230770
##  [479,]   1.2892828   1.0210418  -0.76283439 -0.075118103  0.246073426
##  [480,]  -0.8818807  -1.0045733  -0.76283439 -0.369829400 -0.465218594
##  [481,]   2.0130040   1.6962468  -0.76283439  0.716236307  0.757314565
##  [482,]   1.2892828   1.6962468  -0.76283439  0.159559412  0.618390342
##  [483,]   1.2892828   1.0210418  -0.76283439  0.230508428  0.479466120
##  [484,]  -0.1581596   0.3458367   0.90079381 -0.435320799 -0.270724682
##  [485,]   0.5655616   0.3458367   0.90079381 -0.468066499 -0.215154993
##  [486,]  -0.1581596   0.3458367   0.06897971 -0.468066499 -0.354079216
##  [487,]  -0.1581596  -0.3293683   0.06897971 -0.369829400 -0.615256754
##  [488,]  -0.1581596   0.3458367   0.90079381 -0.506269815 -0.354079216
##  [489,]  -0.8818807  -1.0045733   0.06897971 -0.506269815 -0.643041599
##  [490,]  -0.8818807  -1.0045733   0.06897971 -0.506269815 -0.659712505
##  [491,]   0.5655616   0.3458367   0.90079381 -0.473524116 -0.215154993
##  [492,]  -0.1581596  -0.3293683   0.06897971 -0.517185049 -0.493003438
##  [493,]   1.2892828   0.3458367   0.90079381 -0.402575100 -0.109572584
##  [494,]  -0.8818807  -0.3293683   0.06897971 -0.435320799 -0.454104656
##  [495,]   0.5655616   0.3458367   0.06897971  0.230508428  1.007378165
##  [496,]  -0.8818807  -0.3293683   1.73260791  0.448813093  0.423896431
##  [497,]  -0.1581596  -0.3293683  -0.76283439 -0.506269815 -0.354079216
##  [498,]   0.5655616   1.0210418  -0.76283439 -0.397117483  0.018237701
##  [499,]   0.5655616   0.3458367  -0.76283439 -0.555388365 -0.309623464
##  [500,]   0.5655616   0.3458367  -0.76283439 -0.451693649 -0.076230770
##  [501,]   0.5655616   0.3458367   0.90079381  0.339660760  1.035163010
##  [502,]  -0.1581596   1.0210418  -0.76283439 -0.451693649 -0.076230770
##  [503,]   0.5655616   1.0210418  -0.76283439 -0.233388985  1.090732699
##  [504,]   1.2892828   0.3458367   0.90079381  0.197762728  0.735086689
##  [505,]  -0.1581596  -0.3293683   0.06897971 -0.124236652 -0.298509527
##  [506,]  -0.1581596  -0.3293683   1.73260791  0.525219725  0.868453943
##  [507,]  -0.1581596  -0.3293683   0.90079381  0.121356096 -0.076230770
##  [508,]   0.5655616   0.3458367   0.90079381  0.214135578  0.073807390
##  [509,]   0.5655616   0.3458367   0.90079381 -0.249761834 -0.215154993
##  [510,]  -0.1581596   0.3458367   0.90079381 -0.429863183 -0.420762842
##  [511,]  -0.1581596   0.3458367   0.90079381 -0.522642665 -0.554130096
##  [512,]  -0.8818807   0.3458367   0.06897971 -0.588134065 -0.404091936
##  [513,]  -0.1581596  -0.3293683   0.06897971 -0.588134065 -0.554130096
##  [514,]  -0.1581596   0.3458367   7.55530661  4.269144725  4.091495906
##  [515,]   0.5655616   0.3458367   0.90079381  0.383321693  0.840669098
##  [516,]   0.5655616   1.0210418   0.90079381 -0.162439969  0.157161923
##  [517,]   1.2892828   1.6962468   0.90079381  0.099525629  0.968479383
##  [518,]   0.5655616   1.0210418   0.90079381  0.121356096  0.435010369
##  [519,]   0.5655616   0.3458367   0.06897971 -0.468066499 -0.215154993
##  [520,]   2.0130040   1.6962468   0.06897971  0.541592575  1.035163010
##  [521,]  -0.1581596   0.3458367   0.90079381 -0.315253234 -0.076230770
##  [522,]   0.5655616   1.0210418   0.90079381  0.230508428  0.340541897
##  [523,]  -0.8818807  -1.0045733   0.06897971 -0.468066499 -0.631927661
##  [524,]   0.5655616   1.0210418   0.06897971  0.241423661  0.646175187
##  [525,]  -0.1581596   0.3458367  -0.76283439 -0.588134065 -0.220711962
##  [526,]   0.5655616   0.3458367  -0.76283439 -0.506269815 -0.187370149
##  [527,]  -0.1581596  -0.3293683  -0.76283439 -0.560845982 -0.287395589
##  [528,]  -0.1581596   0.3458367  -0.76283439 -0.642710231 -0.409648905
##  [529,]   1.2892828   0.3458367   0.06897971  1.212879419  1.035163010
##  [530,]   1.2892828   1.0210418  -0.76283439  0.317830294  1.313011455
##  [531,]   1.2892828   1.0210418   0.90079381  2.620944506  1.868708345
##  [532,]  -0.8818807  -0.3293683   0.06897971 -0.549930748 -0.437433749
##  [533,]  -0.1581596   0.3458367   0.06897971 -0.451693649 -0.315180433
##  [534,]  -0.1581596  -0.3293683   0.06897971 -0.369829400 -0.248496806
##  [535,]   0.5655616   0.3458367  -0.76283439  0.230508428  0.368326742
##  [536,]   0.5655616   1.0210418   0.90079381  1.185591336  1.868708345
##  [537,]   2.0130040   1.6962468   0.90079381 -0.162439969  0.157161923
##  [538,]   0.5655616   1.0210418   0.06897971  0.339660760  0.373883711
##  [539,]  -0.1581596   0.3458367   0.06897971 -0.615422148 -0.476332531
##  [540,]  -0.8818807  -0.3293683   0.06897971 -0.500812199 -0.565244034
##  [541,]   4.1841676   1.0210418   6.72349251  1.698607298  0.762871534
##  [542,]   0.5655616   1.0210418   0.90079381  1.185591336  0.857340005
##  [543,]   1.2892828   1.0210418   0.90079381  0.230508428  0.229402519
##  [544,]  -0.1581596  -0.3293683   0.06897971 -0.162439969 -0.298509527
##  [545,]  -0.1581596   0.3458367   0.90079381  0.012203763 -0.131800459
##  [546,]   0.5655616   0.3458367   0.90079381 -0.162439969  0.646175187
##  [547,]   1.2892828   2.3714518   2.56442201  2.238911343  4.925041242
##  [548,]   1.2892828   1.6962468   2.56442201  0.978201905  3.396874793
##  [549,]   0.5655616   0.3458367   0.90079381  0.907252888  0.590605498
##  [550,]   0.5655616   1.0210418   0.90079381  0.776270090  1.868708345
##  [551,]   0.5655616   1.0210418   0.90079381  1.207421802  1.035163010
##  [552,]   1.2892828   0.3458367   0.90079381  0.612541591  0.384997648
##  [553,]   0.5655616   1.0210418   0.90079381 -0.206100901  0.190503737
##  [554,]   0.5655616   0.3458367   0.90079381  0.317830294  0.334984928
##  [555,]   0.5655616   1.0210418   0.90079381 -0.025999553  0.924023632
##  [556,]  -0.1581596  -0.3293683  -0.76283439 -0.369829400 -0.176256211
##  [557,]   1.2892828   3.0466569   2.56442201  0.939998588  1.868708345
##  [558,]  -0.8818807  -0.3293683  -0.76283439 -0.746404947 -0.681940381
##  [559,]   0.5655616   0.3458367  -0.76283439 -0.369829400 -0.204041055
##  [560,]  -0.8818807  -0.3293683   0.06897971 -0.686371164 -0.604142816
##  [561,]   0.5655616   1.0210418   0.90079381 -0.446236033  1.174087233
##  [562,]  -0.1581596   0.3458367   0.06897971 -0.659083081 -0.404091936
##  [563,]  -0.1581596   0.3458367   0.06897971 -0.631794998 -0.481889500
##  [564,]   0.5655616   1.0210418   0.90079381 -0.408032716 -0.292952558
##  [565,]   0.5655616   1.0210418   0.90079381  0.912710505  0.957365445
##  [566,]   0.5655616   0.3458367   0.90079381  0.557965425  0.612833373
##  [567,]  -0.1581596   0.3458367   0.06897971 -0.031457170  0.023794670
##  [568,]  -0.1581596   0.3458367   0.90079381  0.448813093  0.090478297
##  [569,]  -0.8818807  -0.3293683   0.06897971 -0.642710231 -0.626370692
##  [570,]   0.5655616   0.3458367   0.90079381  0.121356096  0.312757053
##  [571,]  -0.1581596   0.3458367   0.06897971 -0.582676448 -0.498560407
##  [572,]  -0.1581596   1.0210418   0.06897971 -0.555388365  0.001566794
##  [573,]  -0.1581596   0.3458367   0.06897971 -0.582676448 -0.520788283
##  [574,]  -0.1581596   0.3458367   0.06897971 -0.615422148 -0.476332531
##  [575,]  -0.8818807  -0.3293683  -0.76283439 -0.740947330 -0.670826443
##  [576,]  -0.8818807  -0.3293683   0.06897971 -0.686371164 -0.570801003
##  [577,]   1.2892828   1.0210418   7.55530661  8.067645891  5.202889687
##  [578,]   0.5655616   0.3458367   0.90079381 -0.036914786  0.740643658
##  [579,]  -0.1581596  -0.3293683   0.90079381 -0.511727432 -0.448547687
##  [580,]   0.5655616   0.3458367   0.90079381  0.448813093  0.757314565
##  [581,]  -0.8818807  -0.3293683   1.73260791  0.230508428 -0.409648905
##  [582,]  -0.1581596   0.3458367   0.90079381 -0.031457170  0.062693452
##  [583,]  -0.1581596   0.3458367   0.90079381 -0.031457170  0.201617675
##  [584,]  -0.1581596  -1.0045733   0.06897971 -0.206100901  0.090478297
##  [585,]   0.5655616   0.3458367   0.90079381 -0.522642665 -0.426319811
##  [586,]   0.5655616   1.0210418   1.73260791  0.034034230  1.335239331
##  [587,]  -0.1581596   0.3458367   0.90079381 -0.495354582 -0.476332531
##  [588,]   1.2892828   1.0210418   0.90079381  0.869049572  0.418339462
##  [589,]   0.5655616   1.6962468  -0.76283439  0.372406460  0.079364359
##  [590,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.687497350
##  [591,]  -0.1581596  -0.3293683  -0.76283439 -0.435320799 -0.504117376
##  [592,]  -0.8818807  -0.3293683  -0.76283439 -0.287965151 -0.604142816
##  [593,]  -0.1581596   0.3458367  -0.76283439 -0.178812818 -0.287395589
##  [594,]  -0.1581596  -0.3293683  -0.76283439 -0.206100901 -0.242939838
##  [595,]  -0.1581596  -1.0045733  -0.76283439 -0.200643285 -0.442990718
##  [596,]  -0.1581596   0.3458367   0.90079381 -0.528100282 -0.270724682
##  [597,]  -0.1581596  -0.3293683  -0.76283439 -0.315253234 -0.459661625
##  [598,]  -0.1581596  -1.0045733  -0.76283439 -0.293422767 -0.342965278
##  [599,]  -0.1581596  -0.3293683  -0.76283439 -0.195185668  0.090478297
##  [600,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.509674345
##  [601,]  -0.8818807  -1.0045733  -0.76283439 -0.566303598 -0.659712505
##  [602,]  -0.8818807  -1.0045733  -0.76283439 -0.304338001 -0.442990718
##  [603,]  -1.6056019  -1.0045733  -0.76283439 -0.369829400 -0.709725225
##  [604,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.726396132
##  [605,]  -0.1581596  -0.3293683   0.06897971 -0.369829400 -0.159585304
##  [606,]  -0.8818807  -0.3293683  -0.76283439 -0.320710850 -0.476332531
##  [607,]  -0.1581596  -0.3293683  -0.76283439 -0.468066499 -0.570801003
##  [608,]   0.5655616   0.3458367  -0.76283439 -0.255219451  0.090478297
##  [609,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.493003438
##  [610,]  -0.1581596   0.3458367   0.90079381 -0.533557899 -0.431876780
##  [611,]  -0.1581596   0.3458367  -0.76283439 -0.424405566 -0.309623464
##  [612,]  -0.1581596   0.3458367  -0.76283439  0.121356096 -0.242939838
##  [613,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [614,]  -0.8818807  -1.0045733   0.06897971 -0.533557899 -0.576357972
##  [615,]  -0.1581596  -0.3293683   0.90079381 -0.369829400 -0.242939838
##  [616,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.709725225
##  [617,]  -0.1581596  -0.3293683  -0.76283439 -0.468066499 -0.570801003
##  [618,]  -0.1581596   0.3458367  -0.76283439 -0.468066499 -0.242939838
##  [619,]  -0.1581596  -0.3293683  -0.76283439 -0.287965151 -0.354079216
##  [620,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.676383412
##  [621,]  -0.1581596  -0.3293683  -0.76283439 -0.249761834 -0.242939838
##  [622,]  -0.1581596  -0.3293683   0.06897971 -0.315253234 -0.631927661
##  [623,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.520788283
##  [624,]   0.5655616   0.3458367   0.90079381  3.837993012  1.868708345
##  [625,]  -0.8818807  -1.0045733  -0.76283439 -0.167897585 -0.748624008
##  [626,]   0.5655616  -0.3293683  -0.76283439  0.219593195 -0.131800459
##  [627,]  -0.1581596  -0.3293683   0.90079381 -0.331626084 -0.520788283
##  [628,]  -0.1581596  -0.3293683  -0.76283439 -0.402575100 -0.354079216
##  [629,]  -0.8818807  -1.0045733  -0.76283439 -0.446236033 -0.604142816
##  [630,]   1.2892828   0.3458367  -0.76283439 -0.358914167 -0.576357972
##  [631,]  -0.8818807  -0.3293683  -0.76283439 -0.167897585 -0.520788283
##  [632,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [633,]  -0.8818807  -0.3293683  -0.76283439 -0.206100901 -0.409648905
##  [634,]  -0.8818807  -1.0045733  -0.76283439 -0.402575100 -0.576357972
##  [635,]   0.5655616   1.0210418   0.90079381  1.594912582  2.424405236
##  [636,]  -0.8818807  -1.0045733  -0.76283439 -0.484439349 -0.659712505
##  [637,]  -0.8818807  -0.3293683   0.06897971 -0.697286397 -0.587471909
##  [638,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.409648905
##  [639,]  -0.1581596  -0.3293683   0.06897971 -0.075118103 -0.242939838
##  [640,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [641,]  -0.8818807  -0.3293683   0.06897971 -0.659083081 -0.554130096
##  [642,]  -0.8818807  -1.0045733  -0.76283439 -0.451693649 -0.687497350
##  [643,]  -0.8818807  -1.0045733  -0.76283439 -0.451693649 -0.709725225
##  [644,]  -0.1581596   0.3458367   0.06897971 -0.615422148 -0.476332531
##  [645,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.576357972
##  [646,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.709725225
##  [647,]   0.5655616   0.3458367   0.90079381 -0.277049918  0.340541897
##  [648,]  -0.8818807  -1.0045733  -0.76283439 -0.511727432 -0.659712505
##  [649,]  -0.1581596  -0.3293683  -0.76283439 -0.457151266 -0.659712505
##  [650,]   2.0130040   2.3714518   1.73260791  1.960572896  3.313520260
##  [651,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.687497350
##  [652,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.659712505
##  [653,]   0.5655616   0.3458367   0.90079381  0.121356096  0.479466120
##  [654,]   1.2892828   0.3458367   0.06897971  0.285084594  0.868453943
##  [655,]  -0.1581596   0.3458367   0.90079381  0.503389259  0.840669098
##  [656,]  -0.8818807  -1.0045733  -0.76283439 -0.484439349 -0.659712505
##  [657,]  -0.8818807  -1.0045733  -0.76283439 -0.287965151 -0.326294371
##  [658,]  -0.1581596   0.3458367   2.56442201  1.867793413  3.307963291
##  [659,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.687497350
##  [660,]   0.5655616   1.0210418   0.90079381  0.285084594  1.090732699
##  [661,]   0.5655616   1.0210418   0.90079381  1.758641081  0.757314565
##  [662,]  -0.8818807  -1.0045733  -0.76283439 -0.315253234 -0.626370692
##  [663,]  -1.6056019  -1.0045733  -0.76283439 -0.369829400 -0.709725225
##  [664,]  -0.1581596  -0.3293683  -0.76283439 -0.506269815 -0.354079216
##  [665,]   2.7367252   1.6962468   0.90079381  1.682234448  1.868708345
##  [666,]  -0.1581596  -0.3293683  -0.76283439 -0.435320799 -0.354079216
##  [667,]  -0.1581596   0.3458367  -0.76283439 -0.315253234 -0.354079216
##  [668,]   0.5655616   1.0210418   0.90079381  0.072237546  0.701744876
##  [669,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.604142816
##  [670,]  -0.8818807  -1.0045733  -0.76283439 -0.320710850 -0.676383412
##  [671,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [672,]  -0.1581596  -1.0045733  -0.76283439 -0.402575100 -0.442990718
##  [673,]  -0.8818807  -1.0045733  -0.76283439 -0.440778416 -0.659712505
##  [674,]   0.5655616   0.3458367  -0.76283439 -0.489896966  0.146047986
##  [675,]  -0.8818807  -1.0045733  -0.76283439 -0.451693649 -0.659712505
##  [676,]  -0.8818807  -0.3293683  -0.76283439 -0.337083700 -0.576357972
##  [677,]  -0.1581596  -0.3293683  -0.76283439 -0.249761834 -0.409648905
##  [678,]  -0.1581596  -0.3293683  -0.76283439 -0.298880384 -0.242939838
##  [679,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [680,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.631927661
##  [681,]  -0.1581596  -0.3293683  -0.76283439 -0.173355202 -0.409648905
##  [682,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.643041599
##  [683,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.709725225
##  [684,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.631927661
##  [685,]  -0.1581596  -0.3293683  -0.76283439 -0.369829400 -0.520788283
##  [686,]  -0.8818807  -1.0045733  -0.76283439 -0.206100901 -0.493003438
##  [687,]   0.5655616  -0.3293683  -0.76283439 -0.206100901 -0.187370149
##  [688,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.676383412
##  [689,]  -0.1581596  -0.3293683  -0.76283439 -0.200643285 -0.465218594
##  [690,]   0.5655616   1.0210418  -0.76283439 -0.206100901 -0.242939838
##  [691,]  -0.1581596  -0.3293683  -0.76283439 -0.402575100 -0.131800459
##  [692,]   0.5655616   1.0210418  -0.76283439 -0.206100901  0.368326742
##  [693,]   1.2892828  -0.3293683  -0.76283439 -0.047830020 -0.242939838
##  [694,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [695,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.631927661
##  [696,]  -0.1581596  -0.3293683  -0.76283439 -0.315253234 -0.459661625
##  [697,]   0.5655616   0.3458367  -0.76283439 -0.287965151 -0.326294371
##  [698,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.631927661
##  [699,]  -0.1581596  -0.3293683  -0.76283439 -0.315253234 -0.459661625
##  [700,]  -0.1581596  -0.3293683  -0.76283439 -0.435320799 -0.504117376
##  [701,]  -0.8818807  -1.0045733  -0.76283439 -0.495354582 -0.648598567
##  [702,]   0.5655616   0.3458367  -0.76283439 -0.287965151 -0.326294371
##  [703,]   0.5655616   0.3458367  -0.76283439 -0.287965151 -0.020661081
##  [704,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.676383412
##  [705,]  -0.8818807  -0.3293683  -0.76283439 -0.468066499 -0.631927661
##  [706,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [707,]  -0.1581596   0.3458367  -0.76283439 -0.468066499 -0.242939838
##  [708,]  -0.1581596   0.3458367  -0.76283439 -0.528100282 -0.187370149
##  [709,]  -0.1581596  -0.3293683  -0.76283439 -0.402575100 -0.515231314
##  [710,]  -0.1581596  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [711,]   1.2892828   1.0210418   0.90079381  0.972744288  1.479720522
##  [712,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [713,]  -0.8818807  -0.3293683  -0.76283439 -0.331626084 -0.520788283
##  [714,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.576357972
##  [715,]  -0.8818807  -1.0045733  -0.76283439 -0.506269815 -0.643041599
##  [716,]  -0.1581596  -0.3293683  -0.76283439 -0.424405566 -0.242939838
##  [717,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [718,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.631927661
##  [719,]  -0.1581596  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [720,]  -0.8818807  -1.0045733  -0.76283439 -0.369829400 -0.576357972
##  [721,]  -0.1581596  -0.3293683  -0.76283439 -0.206100901 -0.415205874
##  [722,]  -0.1581596  -0.3293683  -0.76283439 -0.440778416 -0.631927661
##  [723,]   1.2892828   1.0210418   0.06897971 -0.380744633  0.290529177
##  [724,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [725,]  -0.1581596  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [726,]  -0.1581596  -0.3293683  -0.76283439 -0.418947950 -0.242939838
##  [727,]   1.2892828   1.0210418  -0.76283439  0.257796511  0.173832830
##  [728,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.659712505
##  [729,]  -0.8818807  -1.0045733  -0.76283439 -0.500812199 -0.543016158
##  [730,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.576357972
##  [731,]  -0.1581596  -0.3293683  -0.76283439 -0.255219451 -0.654155536
##  [732,]  -0.8818807  -1.0045733  -0.76283439 -0.206100901 -0.493003438
##  [733,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.631927661
##  [734,]  -0.1581596   0.3458367  -0.76283439 -0.533557899 -0.576357972
##  [735,]  -0.1581596  -0.3293683   0.90079381  1.545794033  0.612833373
##  [736,]  -0.1581596  -0.3293683  -0.76283439 -0.506269815 -0.354079216
##  [737,]   0.5655616   0.3458367  -0.76283439 -0.217016135 -0.098458646
##  [738,]   0.5655616   0.3458367  -0.76283439  1.987860979  4.647192797
##  [739,]  -0.8818807  -1.0045733  -0.76283439 -0.369829400 -0.493003438
##  [740,]  -0.1581596  -0.3293683  -0.76283439  0.017661380 -0.409648905
##  [741,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [742,]  -0.8818807  -0.3293683  -0.76283439 -0.124236652 -0.354079216
##  [743,]  -0.1581596  -0.3293683  -0.76283439 -0.342541317 -0.465218594
##  [744,]  -0.8818807   0.3458367  -0.76283439 -0.588134065 -0.354079216
##  [745,]  -0.1581596  -0.3293683  -0.76283439 -0.042372403 -0.187370149
##  [746,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.465218594
##  [747,]  -0.1581596  -1.0045733  -0.76283439 -0.468066499 -0.576357972
##  [748,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.465218594
##  [749,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.576357972
##  [750,]  -0.1581596  -1.0045733  -0.76283439 -0.468066499 -0.631927661
##  [751,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.709725225
##  [752,]   0.5655616  -0.3293683  -0.76283439 -0.315253234 -0.465218594
##  [753,]  -0.1581596  -0.3293683  -0.76283439 -0.271592301 -0.520788283
##  [754,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [755,]  -0.1581596  -0.3293683  -0.76283439 -0.424405566 -0.242939838
##  [756,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [757,]  -0.1581596  -1.0045733  -0.76283439 -0.402575100 -0.509674345
##  [758,]  -0.8818807  -0.3293683  -0.76283439 -0.615422148 -0.548573127
##  [759,]   0.5655616  -0.3293683  -0.76283439 -0.293422767 -0.076230770
##  [760,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [761,]  -0.8818807  -1.0045733  -0.76283439 -0.369829400 -0.493003438
##  [762,]   0.5655616   1.6962468  -0.76283439  0.372406460  0.079364359
##  [763,]  -0.1581596  -0.3293683  -0.76283439 -0.331626084 -0.465218594
##  [764,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [765,]   0.5655616  -0.3293683  -0.76283439 -0.533557899 -0.520788283
##  [766,]  -0.8818807  -0.3293683  -0.76283439 -0.506269815 -0.587471909
##  [767,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.709725225
##  [768,]  -0.1581596   0.3458367  -0.76283439 -0.304338001 -0.131800459
##  [769,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.659712505
##  [770,]  -0.8818807  -1.0045733  -0.76283439 -0.369829400 -0.609699785
##  [771,]  -0.8818807  -0.3293683  -0.76283439  0.006746147 -0.520788283
##  [772,]  -0.8818807  -0.3293683  -0.76283439 -0.424405566 -0.509674345
##  [773,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.687497350
##  [774,]  -0.1581596  -0.3293683  -0.76283439 -0.195185668  0.090478297
##  [775,]  -0.1581596  -0.3293683  -0.76283439 -0.397117483 -0.493003438
##  [776,]  -0.8818807  -1.0045733  -0.76283439 -0.446236033 -0.743067039
##  [777,]  -0.1581596  -0.3293683  -0.76283439 -0.129694269  0.073807390
##  [778,]  -0.1581596  -0.3293683  -0.76283439 -0.555388365 -0.476332531
##  [779,]  -0.8818807  -1.0045733  -0.76283439 -0.184270435 -0.576357972
##  [780,]  -0.8818807  -1.0045733  -0.76283439 -0.451693649 -0.709725225
##  [781,]  -0.8818807  -1.0045733  -0.76283439 -0.402575100 -0.576357972
##  [782,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.509674345
##  [783,]  -0.8818807  -1.0045733  -0.76283439 -0.287965151 -0.643041599
##  [784,]   0.5655616   0.3458367  -0.76283439 -0.489896966  0.146047986
##  [785,]  -0.1581596   0.3458367  -0.76283439 -0.315253234 -0.354079216
##  [786,]  -0.1581596  -0.3293683  -0.76283439 -0.287965151 -0.354079216
##  [787,]  -0.1581596   0.3458367  -0.76283439 -0.533557899 -0.576357972
##  [788,]  -0.1581596  -0.3293683  -0.76283439 -0.468066499 -0.187370149
##  [789,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.442990718
##  [790,]  -0.1581596  -0.3293683  -0.76283439 -0.391659866 -0.242939838
##  [791,]  -0.8818807  -1.0045733  -0.76283439 -0.500812199 -0.704168256
##  [792,]  -0.1581596   0.3458367  -0.76283439 -0.162439969  0.118263141
##  [793,]   0.5655616   0.3458367  -0.76283439 -0.217016135 -0.098458646
##  [794,]  -0.8818807  -1.0045733  -0.76283439 -0.386202250 -0.476332531
##  [795,]  -0.8818807  -0.3293683  -0.76283439 -0.298880384 -0.354079216
##  [796,]  -0.1581596  -0.3293683  -0.76283439  0.017661380 -0.409648905
##  [797,]   0.5655616   0.3458367  -0.76283439  0.121356096  0.312757053
##  [798,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [799,]  -0.8818807  -0.3293683  -0.76283439 -0.206100901 -0.409648905
##  [800,]  -0.1581596   1.0210418  -0.76283439 -0.533557899 -0.242939838
##  [801,]   0.5655616   0.3458367  -0.76283439  0.623456824 -0.048445926
##  [802,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.715282194
##  [803,]  -0.8818807  -1.0045733  -0.76283439 -0.326168467 -0.437433749
##  [804,]  -0.8818807  -0.3293683  -0.76283439 -0.124236652 -0.354079216
##  [805,]  -0.8818807  -1.0045733  -0.76283439 -0.320710850 -0.676383412
##  [806,]  -0.1581596  -0.3293683  -0.76283439 -0.342541317 -0.465218594
##  [807,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [808,]  -0.1581596   0.3458367  -0.76283439 -0.528100282 -0.187370149
##  [809,]  -0.8818807  -1.0045733  -0.76283439 -0.451693649 -0.659712505
##  [810,]   0.5655616   0.3458367  -0.76283439 -0.167897585 -0.076230770
##  [811,]   0.5655616  -1.0045733   0.06897971  0.399694543 -0.076230770
##  [812,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [813,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [814,]  -0.8818807  -1.0045733  -0.76283439 -0.364371783 -0.587471909
##  [815,]   0.5655616  -0.3293683  -0.76283439 -0.293422767 -0.076230770
##  [816,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.631927661
##  [817,]  -1.6056019  -1.0045733  -0.76283439 -0.369829400 -0.709725225
##  [818,]  -0.8818807  -1.0045733  -0.76283439 -0.178812818 -0.659712505
##  [819,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.726396132
##  [820,]  -0.1581596  -0.3293683  -0.76283439 -0.331626084 -0.465218594
##  [821,]   0.5655616  -0.3293683  -0.76283439 -0.217016135 -0.354079216
##  [822,]  -0.8818807  -1.0045733  -0.76283439 -0.451693649 -0.709725225
##  [823,]  -0.1581596  -0.3293683  -0.76283439 -0.451693649 -0.354079216
##  [824,]   0.5655616  -0.3293683  -0.76283439 -0.533557899 -0.520788283
##  [825,]  -0.1581596  -0.3293683  -0.76283439 -0.206100901 -0.415205874
##  [826,]  -0.1581596  -0.3293683   0.90079381 -0.533557899 -0.481889500
##  [827,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.476332531
##  [828,]  -0.8818807  -0.3293683  -0.76283439 -0.413490333 -0.581914941
##  [829,]   0.5655616  -0.3293683  -0.76283439 -0.326168467 -0.170699242
##  [830,]   0.5655616  -0.3293683  -0.76283439 -0.369829400 -0.020661081
##  [831,]  -0.1581596  -0.3293683  -0.76283439 -0.528100282 -0.326294371
##  [832,]  -0.1581596   0.3458367  -0.76283439 -0.304338001 -0.131800459
##  [833,]  -0.1581596  -0.3293683  -0.76283439 -0.440778416 -0.631927661
##  [834,]   0.5655616   0.3458367   0.06897971  0.023118996 -0.054002895
##  [835,]  -0.1581596  -0.3293683  -0.76283439 -0.506269815 -0.298509527
##  [836,]  -0.1581596  -0.3293683  -0.76283439 -0.249761834 -0.409648905
##  [837,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.659712505
##  [838,]  -0.1581596  -0.3293683  -0.76283439 -0.195185668  0.090478297
##  [839,]  -0.8818807  -1.0045733  -0.76283439 -0.500812199 -0.543016158
##  [840,]   0.5655616   0.3458367   0.90079381 -0.326168467  0.007123763
##  [841,]  -0.8818807  -1.0045733  -0.76283439 -0.446236033 -0.743067039
##  [842,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.576357972
##  [843,]  -0.1581596  -0.3293683  -0.76283439 -0.555388365 -0.476332531
##  [844,]  -0.8818807  -1.0045733  -0.76283439 -0.184270435 -0.576357972
##  [845,]  -0.1581596  -0.3293683  -0.76283439 -0.326168467 -0.242939838
##  [846,]  -0.8818807  -0.3293683  -0.76283439 -0.320710850 -0.476332531
##  [847,]  -0.1581596   0.3458367   0.06897971  0.121356096  0.034908608
##  [848,]  -0.8818807  -1.0045733  -0.76283439 -0.369829400 -0.409648905
##  [849,]  -0.1581596  -1.0045733  -0.76283439 -0.304338001 -0.342965278
##  [850,]   0.5655616   0.3458367  -0.76283439 -0.255219451  0.090478297
##  [851,]   0.5655616   1.6962468  -0.76283439  0.306915061  0.201617675
##  [852,]  -0.8818807  -1.0045733  -0.76283439 -0.206100901 -0.493003438
##  [853,]  -0.8818807  -1.0045733  -0.76283439 -0.462608883 -0.626370692
##  [854,]  -0.1581596   0.3458367   0.06897971 -0.162439969 -0.165142273
##  [855,]  -0.1581596  -0.3293683  -0.76283439 -0.287965151 -0.354079216
##  [856,]  -0.1581596  -0.3293683  -0.76283439 -0.506269815 -0.354079216
##  [857,]  -0.8818807  -1.0045733  -0.76283439 -0.500812199 -0.704168256
##  [858,]  -0.1581596  -0.3293683  -0.76283439 -0.298880384 -0.242939838
##  [859,]  -0.1581596  -0.3293683   0.90079381  0.012203763  0.257187364
##  [860,]  -0.1581596  -0.3293683  -0.76283439 -0.025999553 -0.109572584
##  [861,]  -0.1581596  -0.3293683  -0.76283439  0.017661380 -0.409648905
##  [862,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.659712505
##  [863,]  -0.1581596   1.0210418  -0.76283439 -0.533557899 -0.242939838
##  [864,]   0.5655616   0.3458367  -0.76283439  0.623456824 -0.048445926
##  [865,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.715282194
##  [866,]   0.5655616   0.3458367  -0.76283439  0.094068012 -0.076230770
##  [867,]   0.5655616  -0.3293683  -0.76283439 -0.369829400 -0.020661081
##  [868,]  -0.1581596  -0.3293683  -0.76283439 -0.238846601 -0.409648905
##  [869,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.565244034
##  [870,]   0.5655616  -0.3293683  -0.76283439 -0.020541936  0.646175187
##  [871,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [872,]   0.5655616   1.0210418   0.90079381  0.776270090  1.313011455
##  [873,]  -0.8818807   0.3458367  -0.76283439 -0.588134065 -0.354079216
##  [874,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.631927661
##  [875,]  -0.1581596   0.3458367  -0.76283439 -0.528100282 -0.187370149
##  [876,]  -0.1581596  -0.3293683   0.90079381  0.121356096  0.034908608
##  [877,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.493003438
##  [878,]  -0.8818807  -1.0045733  -0.76283439 -0.451693649 -0.659712505
##  [879,]  -0.1581596   0.3458367  -0.76283439 -0.353456550 -0.226268931
##  [880,]  -0.8818807  -1.0045733  -0.76283439 -0.566303598 -0.659712505
##  [881,]  -0.1581596  -0.3293683  -0.76283439 -0.271592301 -0.520788283
##  [882,]   0.5655616   0.3458367  -0.76283439 -0.167897585 -0.076230770
##  [883,]  -0.1581596  -0.3293683  -0.76283439 -0.424405566 -0.242939838
##  [884,]  -0.8818807  -1.0045733  -0.76283439 -0.304338001 -0.442990718
##  [885,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [886,]  -0.1581596   0.3458367  -0.76283439 -0.424405566 -0.309623464
##  [887,]  -0.8818807  -1.0045733  -0.76283439 -0.337083700 -0.631927661
##  [888,]  -0.1581596  -1.0045733  -0.76283439 -0.402575100 -0.509674345
##  [889,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.576357972
##  [890,]  -0.8818807  -1.0045733  -0.76283439 -0.320710850 -0.548573127
##  [891,]   0.5655616  -0.3293683  -0.76283439 -0.075118103 -0.354079216
##  [892,]  -0.8818807  -0.3293683  -0.76283439 -0.533557899 -0.437433749
##  [893,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.687497350
##  [894,]  -0.8818807  -1.0045733  -0.76283439 -0.369829400 -0.493003438
##  [895,]  -1.6056019  -1.0045733  -0.76283439 -0.369829400 -0.709725225
##  [896,]  -0.8818807  -0.3293683  -0.76283439 -0.337083700 -0.576357972
##  [897,]   1.2892828   1.0210418   0.90079381 -0.206100901  0.107149203
##  [898,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.726396132
##  [899,]   0.5655616  -0.3293683  -0.76283439 -0.217016135 -0.354079216
##  [900,]   0.5655616  -0.3293683  -0.76283439 -0.533557899 -0.520788283
##  [901,]  -0.1581596   0.3458367  -0.76283439 -0.069660486 -0.298509527
##  [902,]  -0.1581596  -0.3293683   0.90079381 -0.402575100 -0.148471366
##  [903,]   0.5655616  -0.3293683  -0.76283439 -0.326168467 -0.170699242
##  [904,]  -0.1581596  -0.3293683  -0.76283439 -0.528100282 -0.326294371
##  [905,]  -0.1581596   0.3458367  -0.76283439 -0.249761834 -0.409648905
##  [906,]  -0.1581596  -0.3293683  -0.76283439 -0.249761834 -0.409648905
##  [907,]  -0.8818807  -1.0045733  -0.76283439 -0.549930748 -0.593028878
##  [908,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.687497350
##  [909,]  -0.1581596  -0.3293683  -0.76283439 -0.337083700 -0.409648905
##  [910,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.576357972
##  [911,]  -0.8818807  -1.0045733  -0.76283439 -0.451693649 -0.709725225
##  [912,]  -0.8818807  -1.0045733  -0.76283439 -0.402575100 -0.576357972
##  [913,]  -0.1581596  -0.3293683  -0.76283439 -0.468066499 -0.570801003
##  [914,]  -0.1581596  -0.3293683  -0.76283439 -0.255219451 -0.654155536
##  [915,]   0.5655616   0.3458367  -0.76283439 -0.255219451  0.090478297
##  [916,]  -0.1581596   0.3458367  -0.76283439 -0.315253234 -0.354079216
##  [917,]  -0.1581596  -0.3293683  -0.76283439 -0.287965151 -0.354079216
##  [918,]  -0.1581596  -0.3293683  -0.76283439 -0.468066499 -0.187370149
##  [919,]  -0.1581596  -0.3293683  -0.76283439 -0.025999553 -0.109572584
##  [920,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [921,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.576357972
##  [922,]   0.5655616   0.3458367  -0.76283439  0.623456824 -0.048445926
##  [923,]  -0.8818807  -1.0045733  -0.76283439 -0.320710850 -0.676383412
##  [924,]   0.5655616  -0.3293683  -0.76283439 -0.369829400 -0.020661081
##  [925,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.604142816
##  [926,]   0.5655616   0.3458367  -0.76283439 -0.167897585 -0.076230770
##  [927,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [928,]  -0.1581596   0.3458367  -0.76283439 -0.424405566 -0.309623464
##  [929,]  -0.8818807  -1.0045733  -0.76283439 -0.364371783 -0.587471909
##  [930,]  -0.1581596  -1.0045733  -0.76283439 -0.402575100 -0.509674345
##  [931,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [932,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.687497350
##  [933,]  -1.6056019  -1.0045733  -0.76283439 -0.369829400 -0.709725225
##  [934,]  -0.8818807  -0.3293683  -0.76283439 -0.337083700 -0.576357972
##  [935,]  -0.1581596  -1.0045733  -0.76283439 -0.468066499 -0.709725225
##  [936,]   0.5655616   0.3458367   0.06897971 -0.227931368  0.479466120
##  [937,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.726396132
##  [938,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [939,]  -0.1581596  -0.3293683  -0.76283439 -0.206100901 -0.415205874
##  [940,]  -0.8818807  -1.0045733  -0.76283439 -0.484439349 -0.659712505
##  [941,]   0.5655616   1.0210418   4.22805021  4.924058719  1.868708345
##  [942,]  -0.1581596   0.3458367  -0.76283439 -0.304338001 -0.131800459
##  [943,]  -0.1581596  -0.3293683  -0.76283439 -0.418947950 -0.242939838
##  [944,]  -0.8818807  -1.0045733  -0.76283439 -0.549930748 -0.593028878
##  [945,]  -0.8818807  -1.0045733  -0.76283439 -0.451693649 -0.709725225
##  [946,]  -0.8818807  -0.3293683  -0.76283439 -0.320710850 -0.476332531
##  [947,]  -0.8818807  -1.0045733  -0.76283439 -0.287965151 -0.643041599
##  [948,]  -0.1581596  -1.0045733  -0.76283439 -0.369829400 -0.631927661
##  [949,]  -0.1581596   0.3458367  -0.76283439  0.121356096 -0.242939838
##  [950,]  -0.1581596  -0.3293683  -0.76283439 -0.255219451 -0.654155536
##  [951,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [952,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.631927661
##  [953,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.604142816
##  [954,]  -0.1581596  -1.0045733  -0.76283439 -0.468066499 -0.576357972
##  [955,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.659712505
##  [956,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.709725225
##  [957,]  -0.1581596  -0.3293683  -0.76283439 -0.206100901 -0.415205874
##  [958,]  -0.8818807  -1.0045733  -0.76283439 -0.484439349 -0.659712505
##  [959,]   0.5655616  -0.3293683  -0.76283439 -0.326168467 -0.170699242
##  [960,]  -0.1581596   0.3458367   0.90079381 -0.326168467 -0.254053775
##  [961,]  -0.8818807  -0.3293683  -0.76283439  0.006746147 -0.520788283
##  [962,]   1.2892828   1.0210418  -0.76283439 -0.326168467 -0.076230770
##  [963,]  -0.1581596  -0.3293683  -0.76283439 -0.326168467 -0.242939838
##  [964,]  -0.8818807  -0.3293683  -0.76283439 -0.320710850 -0.476332531
##  [965,]  -0.1581596   0.3458367  -0.76283439 -0.533557899 -0.576357972
##  [966,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.442990718
##  [967,]  -0.1581596  -0.3293683  -0.76283439 -0.440778416 -0.465218594
##  [968,]  -0.8818807  -0.3293683  -0.76283439 -0.402575100 -0.581914941
##  [969,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.709725225
##  [970,]  -0.8818807  -0.3293683  -0.76283439 -0.124236652 -0.465218594
##  [971,]  -0.8818807  -1.0045733  -0.76283439  0.034034230 -0.676383412
##  [972,]  -0.1581596   0.3458367  -0.76283439 -0.424405566 -0.498560407
##  [973,]   1.2892828   1.6962468  -0.76283439  0.121356096 -0.076230770
##  [974,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.709725225
##  [975,]  -0.1581596   0.3458367  -0.76283439 -0.571761215 -0.420762842
##  [976,]  -0.1581596  -0.3293683  -0.76283439 -0.124236652 -0.020661081
##  [977,]  -0.8818807  -1.0045733  -0.76283439 -0.539015515 -0.709725225
##  [978,]  -0.1581596  -0.3293683  -0.76283439 -0.511727432 -0.487446469
##  [979,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.426319811
##  [980,]  -0.1581596   0.3458367  -0.76283439 -0.178812818 -0.187370149
##  [981,]   0.5655616  -0.3293683  -0.76283439  0.006746147 -0.187370149
##  [982,]  -0.8818807  -1.0045733  -0.76283439 -0.402575100 -0.609699785
##  [983,]  -0.1581596  -0.3293683  -0.76283439 -0.206100901 -0.242939838
##  [984,]  -0.1581596  -0.3293683  -0.76283439 -0.364371783 -0.409648905
##  [985,]  -0.8818807  -1.0045733  -0.76283439 -0.435320799 -0.704168256
##  [986,]   0.5655616   0.3458367  -0.76283439 -0.042372403 -0.131800459
##  [987,]   0.5655616  -0.3293683  -0.76283439 -0.369829400 -0.076230770
##  [988,]  -0.1581596  -0.3293683  -0.76283439 -0.146067119 -0.154028335
##  [989,]   0.5655616   0.3458367  -0.76283439 -0.206100901 -0.409648905
##  [990,]  -0.8818807   0.3458367   1.73260791 -0.173355202  0.201617675
##  [991,]  -0.1581596  -0.3293683  -0.76283439 -0.424405566 -0.354079216
##  [992,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.576357972
##  [993,]  -0.8818807  -0.3293683  -0.76283439 -0.402575100 -0.581914941
##  [994,]  -0.8818807  -1.0045733  -0.76283439 -0.293422767 -0.509674345
##  [995,]   0.5655616   0.3458367   0.90079381 -0.206100901 -0.215154993
##  [996,]  -0.8818807  -0.3293683  -0.76283439 -0.533557899 -0.465218594
##  [997,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.676383412
##  [998,]  -0.1581596  -0.3293683  -0.76283439  0.170474645 -0.242939838
##  [999,]   0.5655616   1.0210418   0.90079381  3.445044616  4.647192797
## [1000,]  -0.1581596  -0.3293683  -0.76283439 -0.096948569 -0.020661081
## [1001,]   0.5655616   0.3458367  -0.76283439 -0.326168467 -0.465218594
## [1002,]  -0.8818807  -1.0045733  -0.76283439 -0.342541317 -0.493003438
## [1003,]   0.5655616  -0.3293683  -0.76283439 -0.206100901 -0.187370149
## [1004,]   1.2892828   1.0210418   0.06897971  0.197762728  0.023794670
## [1005,]  -0.8818807  -1.0045733  -0.76283439 -0.533557899 -0.631927661
## [1006,]  -0.1581596   0.3458367  -0.76283439 -0.298880384 -0.187370149
## [1007,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.659712505
## [1008,]  -0.8818807  -1.0045733  -0.76283439 -0.468066499 -0.609699785
## [1009,]  -0.8818807  -1.0045733  -0.76283439 -0.337083700 -0.576357972
## [1010,]  -0.8818807  -0.3293683  -0.76283439 -0.599049298 -0.587471909
## [1011,]  -0.1581596   0.3458367  -0.76283439 -0.571761215 -0.420762842
## [1012,]  -0.8818807  -1.0045733  -0.76283439 -0.369829400 -0.409648905
## [1013,]   0.5655616  -0.3293683  -0.76283439 -0.440778416 -0.159585304
## [1014,]  -0.8818807  -0.3293683  -0.76283439 -0.642710231 -0.643041599
## [1015,]  -0.1581596  -0.3293683  -0.76283439 -0.369829400 -0.298509527
## [1016,]   0.5655616  -0.3293683  -0.76283439  0.006746147 -0.187370149
## [1017,]  -0.8818807  -1.0045733  -0.76283439  0.503389259 -0.554130096
## [1018,]  -0.8818807  -1.0045733  -0.76283439 -0.347998934 -0.554130096
## [1019,]  -0.1581596   0.3458367  -0.76283439 -0.408032716 -0.054002895
## [1020,]   1.2892828   1.0210418  -0.76283439 -0.391659866 -0.031775019
## [1021,]  -0.1581596  -0.3293683  -0.76283439 -0.364371783 -0.409648905
## [1022,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.520788283
## [1023,]  -0.1581596  -0.3293683  -0.76283439 -0.533557899 -0.242939838
## [1024,]  -0.1581596  -0.3293683  -0.76283439 -0.364371783 -0.604142816
## [1025,]  -0.1581596   0.3458367  -0.76283439 -0.506269815 -0.354079216
##           lokasi_2   lokasi_3   lokasi_4   lokasi_5   lokasi_6   lokasi_7
##    [1,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##    [2,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##    [3,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##    [4,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##    [5,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##    [6,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##    [7,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##    [8,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##    [9,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [10,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [11,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [12,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [13,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [14,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [15,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [16,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [17,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [18,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [19,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [20,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [21,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [22,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##   [23,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##   [24,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##   [25,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##   [26,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [27,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [28,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [29,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [30,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [31,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [32,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [33,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##   [34,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [35,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [36,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [37,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [38,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [39,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [40,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [41,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##   [42,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [43,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [44,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [45,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [46,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [47,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##   [48,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [49,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [50,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [51,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##   [52,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [53,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [54,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [55,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [56,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [57,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [58,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [59,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [60,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [61,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [62,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [63,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [64,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [65,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [66,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [67,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [68,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [69,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [70,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [71,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [72,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [73,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [74,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##   [75,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##   [76,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##   [77,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [78,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [79,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [80,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [81,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [82,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [83,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [84,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [85,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [86,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [87,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [88,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [89,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [90,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [91,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [92,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [93,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [94,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [95,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##   [96,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##   [97,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##   [98,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##   [99,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [100,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [101,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [102,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [103,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [104,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [105,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [106,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [107,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [108,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [109,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [110,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [111,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [112,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [113,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [114,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [115,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [116,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [117,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [118,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [119,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [120,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [121,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [122,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [123,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [124,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [125,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [126,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [127,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [128,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [129,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [130,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [131,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [132,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [133,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [134,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [135,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [136,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [137,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [138,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [139,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [140,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [141,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [142,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [143,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [144,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [145,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [146,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [147,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [148,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [149,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [150,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [151,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [152,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [153,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [154,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [155,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [156,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [157,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [158,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [159,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [160,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [161,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [162,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [163,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [164,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [165,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [166,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [167,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [168,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [169,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [170,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [171,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [172,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [173,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [174,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [175,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [176,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [177,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [178,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [179,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [180,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [181,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [182,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [183,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [184,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [185,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [186,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [187,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [188,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [189,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [190,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [191,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [192,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [193,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [194,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [195,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [196,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [197,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [198,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [199,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [200,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [201,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [202,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [203,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [204,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [205,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [206,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [207,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [208,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [209,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [210,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [211,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [212,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [213,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [214,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [215,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [216,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [217,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [218,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [219,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [220,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [221,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [222,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [223,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [224,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [225,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [226,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [227,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [228,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [229,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [230,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [231,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [232,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [233,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [234,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [235,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [236,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [237,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [238,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [239,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [240,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [241,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [242,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [243,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [244,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [245,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [246,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [247,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [248,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [249,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [250,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [251,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [252,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [253,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [254,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [255,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
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##  [258,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [259,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [260,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [261,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [262,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
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##  [265,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [266,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [267,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [268,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [269,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [270,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [271,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [272,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [273,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [274,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [275,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
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##  [277,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [278,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
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##  [280,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [281,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [282,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [283,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [284,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [285,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [286,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [287,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [288,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [289,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [290,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [291,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [292,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [293,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [294,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [295,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [296,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [297,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [298,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [299,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [300,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [301,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [302,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [303,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [304,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [305,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [306,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [307,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [308,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [309,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [310,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [311,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [312,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [313,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [314,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [315,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [316,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [317,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [318,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [319,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [320,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [321,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [322,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [323,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [324,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [325,] -0.6642294 -0.6037308 10.0698051 -0.1041035 -0.2828536 -0.1644011
##  [326,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [327,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [328,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [329,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [330,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [331,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [332,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [333,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [334,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [335,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [336,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [337,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [338,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [339,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [340,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [341,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [342,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [343,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [344,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [345,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [346,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [347,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [348,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [349,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [350,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [351,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [352,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [353,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [354,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [355,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [356,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [357,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [358,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [359,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [360,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [361,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [362,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [363,] -0.6642294 -0.6037308 -0.0992099  9.5964517 -0.2828536 -0.1644011
##  [364,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [365,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [366,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [367,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [368,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [369,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [370,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [371,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [372,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [373,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [374,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [375,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [376,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [377,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [378,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [379,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [380,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [381,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [382,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [383,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [384,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [385,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [386,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [387,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [388,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [389,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [390,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [391,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [392,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [393,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [394,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [395,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [396,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [397,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [398,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [399,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [400,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [401,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [402,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [403,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [404,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [405,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [406,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [407,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [408,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [409,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [410,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [411,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [412,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [413,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [414,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [415,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [416,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [417,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [418,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [419,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [420,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [421,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [422,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [423,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [424,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [425,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [426,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [427,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [428,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [429,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [430,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [431,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [432,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [433,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [434,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
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##  [443,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
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##  [446,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [447,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [448,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [449,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [450,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
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##  [452,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [453,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [454,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [455,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [456,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [457,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [458,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [459,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [460,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [461,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [462,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [463,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [464,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [465,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
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##  [467,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [468,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [469,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [470,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [471,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [472,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [473,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [474,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [475,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [476,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [477,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [478,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [479,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [480,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [481,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [482,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [483,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [484,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [485,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [486,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [487,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [488,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [489,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [490,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [491,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [492,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [493,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [494,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [495,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [496,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [497,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [498,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [499,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [500,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [501,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [502,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [503,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [504,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [505,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [506,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [507,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [508,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [509,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [510,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [511,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [512,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [513,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [514,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [515,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [516,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [517,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [518,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [519,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [520,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [521,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [522,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [523,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [524,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [525,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [526,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [527,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [528,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [529,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [530,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [531,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [532,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [533,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [534,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [535,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [536,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [537,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [538,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [539,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [540,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [541,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [542,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [543,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [544,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [545,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [546,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [547,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [548,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [549,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [550,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [551,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [552,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [553,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [554,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [555,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [556,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [557,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [558,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [559,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [560,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [561,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [562,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [563,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [564,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [565,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [566,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [567,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [568,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
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##  [570,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [571,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [572,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [573,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [574,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [575,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [576,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [577,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [578,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [579,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [580,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [581,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [582,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [583,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [584,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [585,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [586,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [587,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [588,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [589,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [590,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [591,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [592,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [593,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [594,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [595,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [596,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [597,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [598,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [599,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [600,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [601,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [602,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [603,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [604,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [605,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [606,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [607,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [608,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [609,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [610,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [611,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [612,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [613,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [614,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [615,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [616,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [617,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [618,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [619,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [620,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [621,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [622,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [623,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [624,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [625,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [626,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [627,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [628,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [629,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [630,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [631,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [632,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [633,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [634,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [635,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [636,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [637,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [638,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [639,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [640,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [641,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [642,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [643,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [644,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [645,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [646,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [647,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [648,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [649,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [650,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [651,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [652,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [653,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [654,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [655,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [656,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [657,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [658,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536  6.0767509
##  [659,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [660,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [661,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [662,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [663,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [664,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [665,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [666,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [667,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [668,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [669,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [670,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [671,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [672,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [673,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [674,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [675,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [676,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [677,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [678,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [679,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [680,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [681,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [682,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [683,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [684,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [685,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [686,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [687,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [688,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [689,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [690,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [691,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [692,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [693,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [694,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [695,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [696,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [697,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [698,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [699,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [700,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [701,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [702,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [703,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [704,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [705,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [706,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [707,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [708,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [709,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [710,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [711,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [712,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [713,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [714,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [715,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [716,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [717,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [718,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [719,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [720,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [721,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [722,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [723,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [724,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [725,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [726,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [727,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [728,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [729,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [730,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [731,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [732,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [733,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [734,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [735,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [736,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [737,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [738,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [739,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [740,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [741,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [742,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [743,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [744,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [745,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [746,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [747,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [748,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [749,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [750,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [751,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [752,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [753,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [754,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [755,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [756,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [757,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [758,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [759,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [760,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [761,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [762,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [763,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [764,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [765,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [766,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [767,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [768,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [769,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [770,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [771,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [772,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [773,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [774,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [775,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [776,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [777,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [778,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [779,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [780,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [781,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [782,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [783,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [784,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [785,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [786,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [787,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [788,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [789,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [790,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [791,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [792,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [793,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [794,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [795,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [796,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [797,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [798,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [799,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [800,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [801,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [802,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [803,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [804,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [805,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [806,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [807,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [808,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [809,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [810,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [811,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [812,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [813,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [814,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [815,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [816,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [817,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [818,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [819,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [820,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [821,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [822,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [823,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [824,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [825,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [826,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [827,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [828,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [829,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [830,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [831,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [832,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [833,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [834,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [835,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [836,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [837,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [838,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [839,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [840,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [841,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [842,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [843,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [844,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [845,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [846,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [847,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [848,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [849,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [850,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [851,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [852,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [853,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [854,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [855,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [856,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [857,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [858,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [859,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [860,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [861,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [862,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [863,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [864,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [865,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [866,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [867,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [868,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [869,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [870,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [871,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [872,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [873,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [874,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [875,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [876,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [877,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [878,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [879,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [880,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [881,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [882,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [883,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [884,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [885,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [886,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [887,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [888,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [889,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [890,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [891,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [892,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [893,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [894,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [895,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [896,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [897,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [898,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [899,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [900,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [901,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [902,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [903,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [904,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [905,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [906,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [907,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [908,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [909,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [910,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [911,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [912,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [913,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [914,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [915,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [916,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [917,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [918,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [919,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [920,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [921,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [922,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [923,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [924,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [925,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [926,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [927,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [928,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [929,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [930,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [931,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [932,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [933,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [934,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [935,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [936,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [937,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [938,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [939,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [940,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [941,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [942,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [943,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [944,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [945,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [946,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [947,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [948,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [949,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [950,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [951,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [952,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [953,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [954,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [955,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [956,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [957,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [958,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [959,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [960,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [961,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [962,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [963,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [964,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [965,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [966,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [967,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [968,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [969,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [970,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [971,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [972,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [973,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [974,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [975,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [976,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [977,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [978,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [979,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [980,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [981,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [982,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [983,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [984,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [985,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [986,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [987,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [988,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [989,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [990,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [991,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [992,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [993,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [994,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [995,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
##  [996,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [997,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [998,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##  [999,] -0.6642294 -0.6037308 -0.0992099 -0.1041035  3.5319484 -0.1644011
## [1000,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1001,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1002,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1003,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1004,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1005,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1006,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1007,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1008,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1009,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1010,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1011,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1012,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1013,] -0.6642294 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1014,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1015,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1016,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1017,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1018,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1019,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1020,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1021,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1022,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1023,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1024,]  1.5040353 -0.6037308 -0.0992099 -0.1041035 -0.2828536 -0.1644011
## [1025,] -0.6642294  1.6547513 -0.0992099 -0.1041035 -0.2828536 -0.1644011
##            lokasi_8    lokasi_9   lokasi_10   lokasi_11    log_harga
##    [1,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.142478730
##    [2,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.751753174
##    [3,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.278690101
##    [4,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.252966346
##    [5,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.030907844
##    [6,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.440170569
##    [7,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.115708748
##    [8,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.398177783
##    [9,] -0.06256121 -0.03123475 -0.03123475 11.26947096  0.932807735
##   [10,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.793342285
##   [11,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.781732487
##   [12,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.398177783
##   [13,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.169093266
##   [14,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.456304862
##   [15,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.087255215
##   [16,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.335164857
##   [17,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.092280248
##   [18,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.921909579
##   [19,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.430656130
##   [20,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.830142571
##   [21,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.171702999
##   [22,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.995706692
##   [23,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.363415982
##   [24,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.818016909
##   [25,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.995706692
##   [26,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.083042306
##   [27,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.370352635
##   [28,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.880673273
##   [29,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.204972002
##   [30,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.521263089
##   [31,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.750534168
##   [32,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.932807735
##   [33,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.627574309
##   [34,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.316099215
##   [35,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.995706692
##   [36,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.552639576
##   [37,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.278690101
##   [38,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.208597628
##   [39,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.205135094
##   [40,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.600542190
##   [41,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.359953449
##   [42,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.205135094
##   [43,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.315584730
##   [44,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.331304354
##   [45,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.755117951
##   [46,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.493555087
##   [47,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.205135094
##   [48,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.537643232
##   [49,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.226246293
##   [50,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.726135492
##   [51,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.291190680
##   [52,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.277360396
##   [53,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.039117253
##   [54,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.240578839
##   [55,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.349392782
##   [56,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.277360396
##   [57,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.277360396
##   [58,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.349392782
##   [59,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.952898575
##   [60,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.152176278
##   [61,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.985501410
##   [62,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.545812265
##   [63,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.833122594
##   [64,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.865567587
##   [65,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.533059449
##   [66,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.240578839
##   [67,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.630532112
##   [68,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.818016909
##   [69,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.117804106
##   [70,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.277360396
##   [71,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.199083189
##   [72,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.349392782
##   [73,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.775208792
##   [74,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.681344397
##   [75,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.212962127
##   [76,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.349392782
##   [77,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.336277898
##   [78,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.335164857
##   [79,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.775208792
##   [80,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.093443144
##   [81,] -0.06256121 -0.03123475 -0.03123475 11.26947096  1.928504525
##   [82,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.398177783
##   [83,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.115708748
##   [84,] -0.06256121 -0.03123475 -0.03123475 11.26947096  0.932807735
##   [85,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.908924398
##   [86,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.405645984
##   [87,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.593362944
##   [88,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.098147992
##   [89,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.485508770
##   [90,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.359953449
##   [91,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.434118663
##   [92,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.687877804
##   [93,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.315584730
##   [94,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.003510416
##   [95,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.331304354
##   [96,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -2.204294418
##   [97,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.557734073
##   [98,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -2.204294418
##   [99,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.557734073
##  [100,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.440170569
##  [101,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.074995989
##  [102,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.376772972
##  [103,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.277360396
##  [104,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.291190680
##  [105,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.985501410
##  [106,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.659626678
##  [107,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.659626678
##  [108,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.440170569
##  [109,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.691449679
##  [110,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.196801268
##  [111,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.359953449
##  [112,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.715333016
##  [113,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.803918686
##  [114,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.106194309
##  [115,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.569600049
##  [116,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.015802158
##  [117,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.117804106
##  [118,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.347281689
##  [119,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.292470708
##  [120,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.258587846
##  [121,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.166544041
##  [122,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.842082220
##  [123,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.814733453
##  [124,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.015911501
##  [125,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.656755997
##  [126,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.117804106
##  [127,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -2.484668095
##  [128,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.865567587
##  [129,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.034365321
##  [130,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.127749045
##  [131,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.278690101
##  [132,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.440170569
##  [133,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.537643232
##  [134,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.015802158
##  [135,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.768026691
##  [136,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.292470708
##  [137,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.017842962
##  [138,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.604042704
##  [139,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.396848077
##  [140,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.768026691
##  [141,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.252966346
##  [142,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.394923573
##  [143,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.711029806
##  [144,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.396848077
##  [145,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.604042704
##  [146,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.396848077
##  [147,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.768026691
##  [148,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.711029806
##  [149,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.045006066
##  [150,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.585193911
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##  [210,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.430656130
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##  [218,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.687877804
##  [219,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  3.535279935
##  [220,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.235367610
##  [221,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.015911501
##  [222,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.452842329
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##  [224,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.151809007
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##  [226,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.189298075
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##  [228,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.033540485
##  [229,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.087345515
##  [230,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.335164857
##  [231,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.768981323
##  [232,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.504602930
##  [233,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.138151125
##  [234,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.256428880
##  [235,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.687877804
##  [236,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.552748918
##  [237,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.356429604
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##  [242,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.901784472
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##  [251,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.039794837
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##  [254,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.470556387
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##  [259,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.411561971
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##  [262,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.236275630
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##  [266,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.986819699
##  [267,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.180141109
##  [268,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.813433125
##  [269,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.663198554
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##  [271,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.218392640
##  [272,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.208597628
##  [273,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.455757755
##  [274,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.161046949
##  [275,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.986819699
##  [276,] 15.96874997 -0.03123475 -0.03123475 -0.08864874 -1.080898062
##  [277,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.986819699
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##  [279,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.975652813
##  [280,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.335164857
##  [281,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.073715961
##  [282,] -0.06256121 -0.03123475 31.98438643 -0.08864874 -1.426072346
##  [283,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.349392782
##  [284,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.794133572
##  [285,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.440170569
##  [286,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.074995989
##  [287,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.359953449
##  [288,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.894696473
##  [289,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.470403085
##  [290,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.240578839
##  [291,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.278690101
##  [292,] 15.96874997 -0.03123475 -0.03123475 -0.08864874 -1.344321823
##  [293,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.278690101
##  [294,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.063948147
##  [295,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.132683717
##  [296,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.877101397
##  [297,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.356047249
##  [298,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.015911501
##  [299,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.569600049
##  [300,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.440170569
##  [301,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.646632791
##  [302,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.397615828
##  [303,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.641172858
##  [304,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.880673273
##  [305,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.691340337
##  [306,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.035491628
##  [307,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.537643232
##  [308,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.012339625
##  [309,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.045006066
##  [310,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.138151125
##  [311,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.291190680
##  [312,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.169093266
##  [313,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.212121472
##  [314,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.487653014
##  [315,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.359953449
##  [316,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.115708748
##  [317,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.124609226
##  [318,] 15.96874997 -0.03123475 -0.03123475 -0.08864874  0.860915571
##  [319,] 15.96874997 -0.03123475 -0.03123475 -0.08864874  1.803918686
##  [320,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.485508770
##  [321,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.074995989
##  [322,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.115708748
##  [323,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.355369665
##  [324,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.083042306
##  [325,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.687877804
##  [326,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.880673273
##  [327,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.039794837
##  [328,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.291190680
##  [329,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.190029408
##  [330,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.452842329
##  [331,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.708801988
##  [332,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.529433823
##  [333,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.205135094
##  [334,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.015911501
##  [335,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.355369665
##  [336,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.608345913
##  [337,] -0.06256121 31.98438643 -0.03123475 -0.08864874 -0.813433125
##  [338,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.542854462
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##  [340,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.142478730
##  [341,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.543739209
##  [342,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.265894352
##  [343,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.731442400
##  [344,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.907811357
##  [345,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.949904423
##  [346,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.275141884
##  [347,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.799242866
##  [348,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.304805779
##  [349,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.274443491
##  [350,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.396848077
##  [351,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.073715961
##  [352,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.635743342
##  [353,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -2.008721645
##  [354,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.635743342
##  [355,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.635743342
##  [356,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -2.101610525
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##  [358,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.015911501
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##  [390,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.793342285
##  [391,] -0.06256121 -0.03123475 -0.03123475 11.26947096  1.586443967
##  [392,] -0.06256121 -0.03123475 -0.03123475 11.26947096  0.137593529
##  [393,] -0.06256121 -0.03123475 -0.03123475 11.26947096  1.180141109
##  [394,] -0.06256121 -0.03123475 -0.03123475 11.26947096 -0.355369665
##  [395,] -0.06256121 -0.03123475 -0.03123475 11.26947096  1.928504525
##  [396,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.117804106
##  [397,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.818016909
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##  [399,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.087255215
##  [400,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.235367610
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##  [405,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.235367610
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##  [410,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.359953449
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##  [417,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.430656130
##  [418,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.552639576
##  [419,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.493555087
##  [420,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.768026691
##  [421,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.291190680
##  [422,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.394422111
##  [423,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.534389154
##  [424,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.742035935
##  [425,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.277360396
##  [426,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.981608470
##  [427,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.087255215
##  [428,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.320168513
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##  [430,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.277360396
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##  [438,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.542854462
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##  [441,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.949981669
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##  [444,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.493555087
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##  [449,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.277360396
##  [450,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.430656130
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##  [452,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.213181411
##  [453,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.278690101
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##  [456,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.277360396
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##  [460,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.494835115
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##  [463,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.485508770
##  [464,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.156834041
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##  [492,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.652123485
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##  [494,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.144414005
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##  [497,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.074995989
##  [498,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.521263089
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##  [500,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.398177783
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##  [503,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.434959339
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##  [510,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.284886268
##  [511,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.691449679
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##  [513,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.137894946
##  [514,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  3.012115946
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##  [516,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.865567587
##  [517,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.390871195
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##  [519,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.257269556
##  [520,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.786035697
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##  [523,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.098147992
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##  [530,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.847241178
##  [531,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.038954161
##  [532,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.015911501
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##  [535,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.645187961
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##  [538,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.154604392
##  [539,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.087255215
##  [540,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.300114634
##  [541,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.748692185
##  [542,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.928504525
##  [543,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.932807735
##  [544,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.320168513
##  [545,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.569600049
##  [546,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.537643232
##  [547,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.010703036
##  [548,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.038954161
##  [549,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.517620399
##  [550,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.106194309
##  [551,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.511659551
##  [552,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.597456464
##  [553,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.128380508
##  [554,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.780766684
##  [555,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.995706692
##  [556,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.278690101
##  [557,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.748692185
##  [558,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.317800579
##  [559,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.287128211
##  [560,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.923363115
##  [561,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  1.349392782
##  [562,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.355369665
##  [563,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.240578839
##  [564,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.379253002
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##  [979,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.533059449
##  [980,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.405645984
##  [981,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.212121472
##  [982,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.839775150
##  [983,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.340263980
##  [984,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.255125312
##  [985,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.228287097
##  [986,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.217484620
##  [987,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.339260281
##  [988,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.102693794
##  [989,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.646632791
##  [990,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.687877804
##  [991,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.603786525
##  [992,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.542854462
##  [993,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.593362944
##  [994,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.787784393
##  [995,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.487653014
##  [996,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.292470708
##  [997,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.646632791
##  [998,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.092488512
##  [999,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  2.604042704
## [1000,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.177679882
## [1001,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.775208792
## [1002,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.714655432
## [1003,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.575867566
## [1004,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.954228280
## [1005,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.333183466
## [1006,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.034365321
## [1007,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.968008887
## [1008,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.968008887
## [1009,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.449071047
## [1010,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.240578839
## [1011,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.371749809
## [1012,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -1.030907844
## [1013,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.092488512
## [1014,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.533059449
## [1015,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.593362944
## [1016,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.212121472
## [1017,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.212121472
## [1018,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.714655432
## [1019,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.177679882
## [1020,] -0.06256121 -0.03123475 -0.03123475 -0.08864874  0.034365321
## [1021,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.255125312
## [1022,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.646632791
## [1023,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.775208792
## [1024,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.431350639
## [1025,] -0.06256121 -0.03123475 -0.03123475 -0.08864874 -0.164236971
## attr(,"scaled:center")
##  jml_km_buah  jml_kt_buah jml_gar_buah        lt_m2        lb_m2     lokasi_2 
## 3.218537e+00 2.487805e+00 9.170732e-01 1.577639e+02 1.637180e+02 3.063415e-01 
##     lokasi_3     lokasi_4     lokasi_5     lokasi_6     lokasi_7     lokasi_8 
## 2.673171e-01 9.756098e-03 1.073171e-02 7.414634e-02 2.634146e-02 3.902439e-03 
##     lokasi_9    lokasi_10    lokasi_11    log_harga 
## 9.756098e-04 9.756098e-04 7.804878e-03 2.127022e+01 
## attr(,"scaled:scale")
##  jml_km_buah  jml_kt_buah jml_gar_buah        lt_m2        lb_m2     lokasi_2 
##   1.38174758   1.48103162   1.20219169 183.23016622 179.95421921   0.46119832 
##     lokasi_3     lokasi_4     lokasi_5     lokasi_6     lokasi_7     lokasi_8 
##   0.44277525   0.09833794   0.10308688   0.26213680   0.16022683   0.06237793 
##     lokasi_9    lokasi_10    lokasi_11    log_harga 
##   0.03123475   0.03123475   0.08804274   1.02606663

Lasso dan Shrinkage

A. Lasso

# --- Buat X dan y ---
X = model.matrix(log_harga ~ . - harga_rp, data = rumah.log)[, -1]  # prediktor
y = rumah.log$log_harga # respon


# Cek konsistensi ukuran
cat("nrow(X):", nrow(X), "\n")
## nrow(X): 1025
cat("length(y):", length(y), "\n")
## length(y): 1025
# LASSO dengan 10-fold CV
set.seed(123)
lasso_reg = cv.glmnet(
  X, y,
  alpha = 1,# LASSO
  standardize = TRUE, 
  nfolds = 10
)

# --- Tampilkan lambda hasil CV ---
cat("Lambda min :", lasso_reg$lambda.min, "\n")
## Lambda min : 0.003900763
cat("Lambda 1se :", lasso_reg$lambda.1se, "\n")
## Lambda 1se : 0.06977098
# Koefisien model pada lambda.min
coef(lasso_reg, s = "lambda.min")
## 16 x 1 sparse Matrix of class "dgCMatrix"
##                lambda.min
## (Intercept)  20.397539101
## jml_km_buah   0.035646058
## jml_kt_buah   0.139888492
## jml_gar_buah  0.172007914
## lt_m2         0.001032860
## lb_m2         0.001913687
## lokasi_2     -0.138435014
## lokasi_3     -0.453788322
## lokasi_4     -0.556529643
## lokasi_5     -0.797982632
## lokasi_6     -0.479630923
## lokasi_7     -0.100891281
## lokasi_8     -0.116692463
## lokasi_9     -2.017960454
## lokasi_10    -1.030505415
## lokasi_11    -0.602461731
# Koefisien model pada lambda.1se
coef(lasso_reg, s = "lambda.1se")
## 16 x 1 sparse Matrix of class "dgCMatrix"
##                 lambda.1se
## (Intercept)  20.3565903091
## jml_km_buah   0.0068907049
## jml_kt_buah   0.1494723976
## jml_gar_buah  0.1470696759
## lt_m2         0.0007175711
## lb_m2         0.0019942181
## lokasi_2      .           
## lokasi_3     -0.1914504737
## lokasi_4      .           
## lokasi_5      .           
## lokasi_6     -0.0512242908
## lokasi_7      .           
## lokasi_8      .           
## lokasi_9      .           
## lokasi_10     .           
## lokasi_11     .
# Plot kurva CV
plot(lasso_reg)

B. Ridge

library(glmnet)

# Gunakan X dan y yang sama
X = model.matrix(log_harga ~ . - harga_rp, data = rumah.log)[, -1]
y = rumah.log$log_harga

# Ridge regression dengan 10-fold CV
set.seed(123)
ridge_reg = cv.glmnet(
  X, y,
  alpha = 0,    # alpha=0 → Ridge
  standardize = TRUE,
  nfolds = 10
)

# Tampilkan lambda hasil CV
cat("Lambda min :", ridge_reg$lambda.min, "\n")
## Lambda min : 0.07837542
cat("Lambda 1se :", ridge_reg$lambda.1se, "\n")
## Lambda 1se : 0.6659978
# Koefisien model pada lambda.min
coef(ridge_reg, s = "lambda.min")
## 16 x 1 sparse Matrix of class "dgCMatrix"
##                lambda.min
## (Intercept)  20.370142934
## jml_km_buah   0.054350391
## jml_kt_buah   0.129860932
## jml_gar_buah  0.167938965
## lt_m2         0.001098662
## lb_m2         0.001740819
## lokasi_2     -0.127566913
## lokasi_3     -0.428559698
## lokasi_4     -0.550121803
## lokasi_5     -0.774379777
## lokasi_6     -0.434727219
## lokasi_7     -0.100041675
## lokasi_8     -0.151462665
## lokasi_9     -2.002897456
## lokasi_10    -1.061432297
## lokasi_11    -0.576290511
# Koefisien model pada lambda.1se
coef(ridge_reg, s = "lambda.1se")
## 16 x 1 sparse Matrix of class "dgCMatrix"
##                 lambda.1se
## (Intercept)  20.3579294251
## jml_km_buah   0.0802934653
## jml_kt_buah   0.1081363692
## jml_gar_buah  0.1398308302
## lt_m2         0.0009888103
## lb_m2         0.0012656785
## lokasi_2     -0.0420083942
## lokasi_3     -0.2598017377
## lokasi_4     -0.2959998524
## lokasi_5     -0.4647771342
## lokasi_6     -0.1821943737
## lokasi_7      0.0156891763
## lokasi_8     -0.0270357435
## lokasi_9     -1.1841288260
## lokasi_10    -0.6612333366
## lokasi_11    -0.1808075896
# Plot kurva CV
plot(ridge_reg)

library(glmnet)

# LASSO dengan standardisasi
fit_std = glmnet(X, y, alpha = 1, standardize = TRUE)

# LASSO tanpa standardisasi
fit_raw = glmnet(X, y, alpha = 1, standardize = FALSE)

# Plot dengan standardisasi
plot(fit_std, xvar = "lambda", label = TRUE, main = "LASSO - Standarisasi (TRUE)")

# Plot tanpa standardisasi
plot(fit_raw, xvar = "lambda", label = TRUE, main = "LASSO - Standarisasi (FALSE)")

library(glmnet)

# Ridge dengan standardisasi
fit_ridge_std = glmnet(X, y, alpha = 0, standardize = TRUE)

# Ridge tanpa standardisasi
fit_ridge_raw = glmnet(X, y, alpha = 0, standardize = FALSE)

# Plot dengan standardisasi
plot(fit_ridge_std, xvar = "lambda", label = TRUE, main = "Ridge - Standarisasi (TRUE)")

# Plot tanpa standardisasi
plot(fit_ridge_raw, xvar = "lambda", label = TRUE, main = "Ridge - Standarisasi (FALSE)")

summary.best
## Subset selection object
## Call: regsubsets.formula(harga_rp ~ ., data = rumah.clean, nvmax = ncol(rumah.clean) - 
##     1)
## 15 Variables  (and intercept)
##              Forced in Forced out
## jml_km_buah      FALSE      FALSE
## jml_kt_buah      FALSE      FALSE
## jml_gar_buah     FALSE      FALSE
## lt_m2            FALSE      FALSE
## lb_m2            FALSE      FALSE
## lokasi_2         FALSE      FALSE
## lokasi_3         FALSE      FALSE
## lokasi_4         FALSE      FALSE
## lokasi_5         FALSE      FALSE
## lokasi_6         FALSE      FALSE
## lokasi_7         FALSE      FALSE
## lokasi_8         FALSE      FALSE
## lokasi_9         FALSE      FALSE
## lokasi_10        FALSE      FALSE
## lokasi_11        FALSE      FALSE
## 1 subsets of each size up to 15
## Selection Algorithm: exhaustive
##           jml_km_buah jml_kt_buah jml_gar_buah lt_m2 lb_m2 lokasi_2 lokasi_3
## 1  ( 1 )  " "         " "         " "          " "   "*"   " "      " "     
## 2  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 3  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 4  ( 1 )  " "         " "         "*"          "*"   "*"   " "      " "     
## 5  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 6  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 7  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 8  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 9  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 10  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 11  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 12  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 13  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 14  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 15  ( 1 ) "*"         "*"         "*"          "*"   "*"   "*"      "*"     
##           lokasi_4 lokasi_5 lokasi_6 lokasi_7 lokasi_8 lokasi_9 lokasi_10
## 1  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 2  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 3  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 4  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 5  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 6  ( 1 )  " "      " "      "*"      " "      " "      " "      " "      
## 7  ( 1 )  " "      " "      "*"      " "      " "      " "      " "      
## 8  ( 1 )  " "      " "      "*"      " "      " "      "*"      " "      
## 9  ( 1 )  " "      " "      "*"      "*"      " "      "*"      " "      
## 10  ( 1 ) " "      " "      "*"      "*"      " "      "*"      " "      
## 11  ( 1 ) "*"      " "      "*"      "*"      " "      "*"      " "      
## 12  ( 1 ) "*"      "*"      "*"      "*"      " "      "*"      " "      
## 13  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      " "      
## 14  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      "*"      
## 15  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      "*"      
##           lokasi_11
## 1  ( 1 )  " "      
## 2  ( 1 )  " "      
## 3  ( 1 )  "*"      
## 4  ( 1 )  "*"      
## 5  ( 1 )  "*"      
## 6  ( 1 )  "*"      
## 7  ( 1 )  "*"      
## 8  ( 1 )  "*"      
## 9  ( 1 )  "*"      
## 10  ( 1 ) "*"      
## 11  ( 1 ) "*"      
## 12  ( 1 ) "*"      
## 13  ( 1 ) "*"      
## 14  ( 1 ) "*"      
## 15  ( 1 ) "*"
summary.bw
## Subset selection object
## Call: regsubsets.formula(harga_rp ~ ., data = rumah.clean, nbest = 1, 
##     nvmax = NULL, method = "backward")
## 15 Variables  (and intercept)
##              Forced in Forced out
## jml_km_buah      FALSE      FALSE
## jml_kt_buah      FALSE      FALSE
## jml_gar_buah     FALSE      FALSE
## lt_m2            FALSE      FALSE
## lb_m2            FALSE      FALSE
## lokasi_2         FALSE      FALSE
## lokasi_3         FALSE      FALSE
## lokasi_4         FALSE      FALSE
## lokasi_5         FALSE      FALSE
## lokasi_6         FALSE      FALSE
## lokasi_7         FALSE      FALSE
## lokasi_8         FALSE      FALSE
## lokasi_9         FALSE      FALSE
## lokasi_10        FALSE      FALSE
## lokasi_11        FALSE      FALSE
## 1 subsets of each size up to 15
## Selection Algorithm: backward
##           jml_km_buah jml_kt_buah jml_gar_buah lt_m2 lb_m2 lokasi_2 lokasi_3
## 1  ( 1 )  " "         " "         " "          " "   "*"   " "      " "     
## 2  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 3  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 4  ( 1 )  " "         " "         "*"          "*"   "*"   " "      " "     
## 5  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 6  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 7  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 8  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 9  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 10  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 11  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 12  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 13  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 14  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 15  ( 1 ) "*"         "*"         "*"          "*"   "*"   "*"      "*"     
##           lokasi_4 lokasi_5 lokasi_6 lokasi_7 lokasi_8 lokasi_9 lokasi_10
## 1  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 2  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 3  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 4  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 5  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 6  ( 1 )  " "      " "      "*"      " "      " "      " "      " "      
## 7  ( 1 )  " "      " "      "*"      " "      " "      " "      " "      
## 8  ( 1 )  " "      " "      "*"      " "      " "      "*"      " "      
## 9  ( 1 )  " "      " "      "*"      "*"      " "      "*"      " "      
## 10  ( 1 ) " "      " "      "*"      "*"      " "      "*"      " "      
## 11  ( 1 ) "*"      " "      "*"      "*"      " "      "*"      " "      
## 12  ( 1 ) "*"      "*"      "*"      "*"      " "      "*"      " "      
## 13  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      " "      
## 14  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      "*"      
## 15  ( 1 ) "*"      "*"      "*"      "*"      "*"      "*"      "*"      
##           lokasi_11
## 1  ( 1 )  " "      
## 2  ( 1 )  " "      
## 3  ( 1 )  "*"      
## 4  ( 1 )  "*"      
## 5  ( 1 )  "*"      
## 6  ( 1 )  "*"      
## 7  ( 1 )  "*"      
## 8  ( 1 )  "*"      
## 9  ( 1 )  "*"      
## 10  ( 1 ) "*"      
## 11  ( 1 ) "*"      
## 12  ( 1 ) "*"      
## 13  ( 1 ) "*"      
## 14  ( 1 ) "*"      
## 15  ( 1 ) "*"
summary.fw
## Subset selection object
## Call: regsubsets.formula(harga_rp ~ ., data = rumah.clean, nvmax = 15, 
##     method = "forward")
## 15 Variables  (and intercept)
##              Forced in Forced out
## jml_km_buah      FALSE      FALSE
## jml_kt_buah      FALSE      FALSE
## jml_gar_buah     FALSE      FALSE
## lt_m2            FALSE      FALSE
## lb_m2            FALSE      FALSE
## lokasi_2         FALSE      FALSE
## lokasi_3         FALSE      FALSE
## lokasi_4         FALSE      FALSE
## lokasi_5         FALSE      FALSE
## lokasi_6         FALSE      FALSE
## lokasi_7         FALSE      FALSE
## lokasi_8         FALSE      FALSE
## lokasi_9         FALSE      FALSE
## lokasi_10        FALSE      FALSE
## lokasi_11        FALSE      FALSE
## 1 subsets of each size up to 15
## Selection Algorithm: forward
##           jml_km_buah jml_kt_buah jml_gar_buah lt_m2 lb_m2 lokasi_2 lokasi_3
## 1  ( 1 )  " "         " "         " "          " "   "*"   " "      " "     
## 2  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 3  ( 1 )  " "         " "         " "          "*"   "*"   " "      " "     
## 4  ( 1 )  " "         " "         "*"          "*"   "*"   " "      " "     
## 5  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 6  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      " "     
## 7  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 8  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 9  ( 1 )  "*"         " "         "*"          "*"   "*"   " "      "*"     
## 10  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 11  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 12  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 13  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 14  ( 1 ) "*"         " "         "*"          "*"   "*"   "*"      "*"     
## 15  ( 1 ) "*"         "*"         "*"          "*"   "*"   "*"      "*"     
##           lokasi_4 lokasi_5 lokasi_6 lokasi_7 lokasi_8 lokasi_9 lokasi_10
## 1  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 2  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 3  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
## 4  ( 1 )  " "      " "      " "      " "      " "      " "      " "      
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summary.hy
## Subset selection object
## Call: regsubsets.formula(harga_rp ~ ., data = rumah.clean, nbest = 1, 
##     nvmax = NULL, method = "seqrep")
## 15 Variables  (and intercept)
##              Forced in Forced out
## jml_km_buah      FALSE      FALSE
## jml_kt_buah      FALSE      FALSE
## jml_gar_buah     FALSE      FALSE
## lt_m2            FALSE      FALSE
## lb_m2            FALSE      FALSE
## lokasi_2         FALSE      FALSE
## lokasi_3         FALSE      FALSE
## lokasi_4         FALSE      FALSE
## lokasi_5         FALSE      FALSE
## lokasi_6         FALSE      FALSE
## lokasi_7         FALSE      FALSE
## lokasi_8         FALSE      FALSE
## lokasi_9         FALSE      FALSE
## lokasi_10        FALSE      FALSE
## lokasi_11        FALSE      FALSE
## 1 subsets of each size up to 15
## Selection Algorithm: 'sequential replacement'
##           jml_km_buah jml_kt_buah jml_gar_buah lt_m2 lb_m2 lokasi_2 lokasi_3
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##           lokasi_4 lokasi_5 lokasi_6 lokasi_7 lokasi_8 lokasi_9 lokasi_10
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# Data 
X = model.matrix(log_harga ~ . - harga_rp, data = rumah.log)[, -1]
y = rumah.log$log_harga
dat = data.frame(y, X)

# sigma^2 untuk Cp
ols_full = lm(y ~ ., data = dat)
sigma2 = sum(resid(ols_full)^2) / ols_full$df.residual
n = nrow(dat)

# Fungsi metrik
get_metrics = function(fit, s, name) {
  vars = rownames(coef(fit, s))[which(coef(fit, s) != 0)[-1]]
  if (length(vars) == 0) {
    return(data.frame(Model=name, Adj_R2=NA, AIC=NA, Cp=NA, Num_Vars=0, Vars=""))
  }
  lm_fit = lm(reformulate(vars, "y"), data = dat)
  RSS = sum(resid(lm_fit)^2); p = length(coef(lm_fit))
  data.frame(Model=name,
             Adj_R2=summary(lm_fit)$adj.r.squared,
             AIC=AIC(lm_fit),
             Cp=RSS/sigma2 - (n-2*p),
             Num_Vars=p-1,
             Vars=paste(vars, collapse=", "))
}

# LASSO & RIDGE
set.seed(123)
lasso = cv.glmnet(X, y, alpha=1)
ridge = cv.glmnet(X, y, alpha=0)

# Hasil akhir
results = rbind(
  get_metrics(lasso, "lambda.min", "Lasso_min"),
  get_metrics(lasso, "lambda.1se", "Lasso_1se"),
  get_metrics(ridge, "lambda.min", "Ridge_min"),
  get_metrics(ridge, "lambda.1se", "Ridge_1se")
)

print(results, row.names = FALSE)
##      Model    Adj_R2      AIC       Cp Num_Vars
##  Lasso_min 0.7292676 1640.160 16.00000       15
##  Lasso_1se 0.7119898 1695.666 72.90382        7
##  Ridge_min 0.7292676 1640.160 16.00000       15
##  Ridge_1se 0.7292676 1640.160 16.00000       15
##                                                                                                                                                        Vars
##  jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
##                                                                                    jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_3, lokasi_6
##  jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
##  jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
# Model Terbaik Regresi Linear Berganda 
# Fungsi untuk menghitung Adjusted R², AIC, dan Mallows' Cp
get_lm_metrics = function(model, full_model) {
  n = length(model$fitted.values)
  k = length(coef(model)) - 1
  
  # Residual Sum of Squares
  rss = sum(resid(model)^2)
  
  # Total Sum of Squares
  tss = sum((model$model[[1]] - mean(model$model[[1]]))^2)
  
  # R² dan Adj R²
  r2 = 1 - rss/tss
  adj_r2 = 1 - (1-r2)*(n-1)/(n-k-1)
  
  # AIC
  aic = AIC(model)
  
  # Mallows' Cp
  sigma2_full = sum(resid(full_model)^2) / (n - length(coef(full_model)))
  cp = rss/sigma2_full - (n - 2*(k+1))
  
  return(c(Adj_R2 = adj_r2, AIC = aic, Cp = cp))
}

reg_metrics = get_lm_metrics(reg, full_model = reg)
reg_metrics
##       Adj_R2          AIC           Cp 
## 5.574054e-01 4.986161e+04 1.600000e+01
# Jalankan best subset selection
library(leaps)
best = regsubsets(log_harga ~ . - harga_rp, data = rumah.log, nvmax = 15)
summary.best = summary(best)

# Ambil metrik
adjr2 = summary.best$adjr2
cp    = summary.best$cp
rss   = summary.best$rss
n     = nrow(rumah.log)
p     = 1:(ncol(rumah.log)-1)
aic   = n*log(rss/n) + 2*(p+1)
## Warning in n * log(rss/n) + 2 * (p + 1): longer object length is not a multiple
## of shorter object length
# Skor gabungan
norm = function(x) (x - min(x)) / (max(x) - min(x))
adjr2_n = norm(adjr2)
aic_n = 1 - norm(aic)
cp_n = 1 - norm(abs(cp - (p+1)))
## Warning in cp - (p + 1): longer object length is not a multiple of shorter
## object length
score = (adjr2_n + aic_n + cp_n) / 3
## Warning in adjr2_n + aic_n: longer object length is not a multiple of shorter
## object length
best_general = which.max(score)

# Variabel di model terbaik
which_mat = summary.best$which
vars_in_best = colnames(which_mat)[which_mat[best_general, ] & colnames(which_mat) != "(Intercept)"]

best_subset_table = data.frame(
  Model = paste0("Best Subset (M", best_general, ")"),
  Num_Variables = length(vars_in_best),
  Adj_R2 = adjr2[best_general],
  AIC = aic[best_general],
  Cp = cp[best_general],
  Vars = paste(vars_in_best, collapse = ", ")
)
best_subset_table
##               Model Num_Variables    Adj_R2       AIC       Cp
## 1 Best Subset (M14)            14 0.7293833 -1272.087 14.56843
##                                                                                                                                               Vars
## 1 jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_9, lokasi_10, lokasi_11
# Model Terbaik Regresi Linear Berganda (model penuh)

n = nrow(rumah2_dummy)
k = length(coef(reg)) - 1
rss = sum(resid(reg)^2)
tss = sum((reg$model[[1]] - mean(reg$model[[1]]))^2)

# Adjusted R²
r2 = 1 - rss/tss
adjr2 = 1 - (1 - r2) * (n - 1) / (n - k - 1)

# AIC
aic = AIC(reg)

# Mallows' Cp (pakai model penuh)
sigma2_full = rss / (n - (k + 1))
cp = rss / sigma2_full - (n - 2 * (k + 1))

# Ambil nama variabel dari model
vars = names(coef(reg))[-1]

# Satukan dalam data frame
reg_metrics = data.frame(
  Model = "Regresi Linear Penuh",
  Num_Variables = k,
  Adj_R2 = adjr2,
  Cp = cp,
  AIC = aic,
  Vars = paste(vars, collapse = ", ")
)

reg_metrics
##                  Model Num_Variables    Adj_R2 Cp      AIC
## 1 Regresi Linear Penuh            15 0.5574054 16 49861.61
##                                                                                                                                                         Vars
## 1 jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11

Perbandingan Model Terbaik

# Model Regresi Linear (tambah nama variabel juga)
vars_reg = names(coef(reg))[-1]   # semua variabel kecuali intercept
reg_table = data.frame(
  Model = "Regresi Linear",
  Adj_R2 = reg_metrics$Adj_R2,
  AIC = reg_metrics$AIC,
  Cp = reg_metrics$Cp,
  Num_Vars = length(vars_reg),
  Vars = paste(vars_reg, collapse = ", ")
)

# Ambil dari Lasso dan Ridge (sudah ada di results_df)
lasso_ridge_table = results[, c("Model","Adj_R2","AIC","Cp","Num_Vars","Vars")]

# Ambil dari Best Subset
best_table = data.frame(
  Model = paste0("Best Subset (model ", best_subset_table$Model, ")"),
  Adj_R2 = best_subset_table$Adj_R2,
  AIC = best_subset_table$AIC,
  Cp = best_subset_table$Cp,
  Num_Vars = length(vars_in_best),
  Vars = best_subset_table$Vars
)

# Gabungkan semua
hasil_perbandingan = rbind(lasso_ridge_table, reg_table, best_table)

print(hasil_perbandingan, row.names = FALSE)
##                                  Model    Adj_R2       AIC       Cp Num_Vars
##                              Lasso_min 0.7292676  1640.160 16.00000       15
##                              Lasso_1se 0.7119898  1695.666 72.90382        7
##                              Ridge_min 0.7292676  1640.160 16.00000       15
##                              Ridge_1se 0.7292676  1640.160 16.00000       15
##                         Regresi Linear 0.5574054 49861.606 16.00000       15
##  Best Subset (model Best Subset (M14)) 0.7293833 -1272.087 14.56843       14
##                                                                                                                                                        Vars
##  jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
##                                                                                    jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_3, lokasi_6
##  jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
##  jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
##  jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
##            jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_9, lokasi_10, lokasi_11

Hasil Model Terbaik

library(gt)
hasil_perbandingan %>% gt()
Model Adj_R2 AIC Cp Num_Vars Vars
Lasso_min 0.7292676 1640.160 16.00000 15 jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
Lasso_1se 0.7119898 1695.666 72.90382 7 jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_3, lokasi_6
Ridge_min 0.7292676 1640.160 16.00000 15 jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
Ridge_1se 0.7292676 1640.160 16.00000 15 jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
Regresi Linear 0.5574054 49861.606 16.00000 15 jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_8, lokasi_9, lokasi_10, lokasi_11
Best Subset (model Best Subset (M14)) 0.7293833 -1272.087 14.56843 14 jml_km_buah, jml_kt_buah, jml_gar_buah, lt_m2, lb_m2, lokasi_2, lokasi_3, lokasi_4, lokasi_5, lokasi_6, lokasi_7, lokasi_9, lokasi_10, lokasi_11