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Department  : Business Statistics
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1 Introduction

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1.1 About

Optimasi penting dalam banyak bidang, termasuk dalam ilmu data. Di bidang manufaktur, di mana setiap keputusan sangat penting untuk proses dan keuntungan organisasi, optimasi sering digunakan, mulai dari jumlah setiap produk yang dihasilkan, bagaimana unit dijadwalkan untuk produksi, mendapatkan parameter proses terbaik atau optimal, serta perutean. penentuan seperti masalah salesman keliling. Dalam ilmu data, kami akrab dengan penyetelan model, di mana kami menyetel model kami untuk meningkatkan kinerja model. Algoritma optimasi dapat membantu kita untuk mendapatkan performa model yang lebih baik. Algoritma Genetika (GA) merupakan salah satu algoritma optimasi yang banyak digunakan.

Artikel ini mencoba menjelaskan mekanisme di balik salah satu algoritma yang paling efektif untuk masalah optimasi: Algoritma Genetika (GA). Ada banyak algoritma yang khusus dibuat untuk optimasi, seperti Particle Swarm Optimization (PSO), Simulated Annealing (SA), dan Tabu Search. Namun, di banyak bidang, GA dapat mencapai tujuan lebih baik daripada metode tersebut. Ada berbagai turunan dan variasi implementasi GA, mungkin yang paling terkenal adalah implementasi GA dalam masalah optimasi multiobjective, di mana kita ingin mengoptimalkan dua tujuan secara bersamaan, yang disebut Multi Objective Evolutionary Algorithm (MOEA). Kita akan melihat bagaimana GA umum bekerja dan di mana itu dapat diterapkan, baik pada masalah bisnis maupun di bidang ilmu data.

1.2 Objectives

Tujuan pembelajaran: * Mempelajari pentingnya optimasi dalam bisnis * Mempelajari tentang fungsi biaya atau fungsi tujuan dan varianel keputusan. * Mempelajari hubungan antara pembelajaran mesin dan pengoptimalan. * Mempelajari prinsip dan konsep Algoritma Genetika. * Mempelajari implementasi GA dalam kasus bisnis dan bidang ilmu data.

1.3 Library and Setup

Untuk menggunakan GA, kita dapat install package GA menggunakan fungsi install.packages()

Berikut ini adalah paket-paket yang akan digunakan di seluruh artikel.

library(tidyverse)
## -- Attaching packages --------------------------------------- tidyverse 1.3.1 --
## v ggplot2 3.3.5     v purrr   0.3.4
## v tibble  3.1.5     v dplyr   1.0.7
## v tidyr   1.1.4     v stringr 1.4.0
## v readr   2.0.2     v forcats 0.5.1
## -- Conflicts ------------------------------------------ tidyverse_conflicts() --
## x dplyr::filter() masks stats::filter()
## x dplyr::lag()    masks stats::lag()
library(GA)
## Loading required package: foreach
## 
## Attaching package: 'foreach'
## The following objects are masked from 'package:purrr':
## 
##     accumulate, when
## Loading required package: iterators
## Package 'GA' version 3.2.2
## Type 'citation("GA")' for citing this R package in publications.
## 
## Attaching package: 'GA'
## The following object is masked from 'package:utils':
## 
##     de
library(ranger)
library(tidymodels)
## Registered S3 method overwritten by 'tune':
##   method                   from   
##   required_pkgs.model_spec parsnip
## -- Attaching packages -------------------------------------- tidymodels 0.1.4 --
## v broom        0.7.10     v rsample      0.1.1 
## v dials        0.0.10     v tune         0.1.6 
## v infer        1.0.0      v workflows    0.2.4 
## v modeldata    0.1.1      v workflowsets 0.1.0 
## v parsnip      0.1.7      v yardstick    0.0.9 
## v recipes      0.1.17
## -- Conflicts ----------------------------------------- tidymodels_conflicts() --
## x foreach::accumulate() masks purrr::accumulate()
## x scales::discard()     masks purrr::discard()
## x dplyr::filter()       masks stats::filter()
## x recipes::fixed()      masks stringr::fixed()
## x dplyr::lag()          masks stats::lag()
## x yardstick::spec()     masks readr::spec()
## x recipes::step()       masks stats::step()
## x foreach::when()       masks purrr::when()
## * Learn how to get started at https://www.tidymodels.org/start/
library(caret)
## Loading required package: lattice
## 
## Attaching package: 'caret'
## The following objects are masked from 'package:yardstick':
## 
##     precision, recall, sensitivity, specificity
## The following object is masked from 'package:purrr':
## 
##     lift
library(tictoc)

2 Optimization Problem

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2.1 Why Optimization is Important

Katakanlah, kita memiliki 2 baris produk, dengan produk A memiliki keuntungan sebesar USD 50 sedangkan produk B memiliki keuntungan sebesar USD 30. Kita ingin memaksimalkan keuntungan kita, tetapi kita memiliki sumber daya yang terbatas. Kami hanya memiliki 80 jam kerja selama seminggu, dengan produk A memakan waktu sekitar 10 jam dalam pembuatan sedangkan produk B adalah 4 jam dalam pembuatan. Kedua produk berbagi bahan yang sama dan kita hanya memiliki 100 meter kain dengan masing-masing produk A membutuhkan 2 meter kain sedangkan produk B membutuhkan 4 meter kain. Bagaimana kita memutuskan berapa jumlah produk A dan B terbaik yang akan diproduksi? Begitulah masalah optimasi (dalam hal ini, mengoptimalkan keuntungan).

Bagaimana jika kita memutuskan untuk memilih secara acak jumlah setiap produk yang akan diproduksi. Kita mungkin tidak punya cukup waktu untuk menyelesaikannya. Kita mungkin tidak memiliki cukup bahan, atau sebaliknya bisa terjadi: kita mungkin memiliki bahan cadangan.

Kasus lain, katakanlah kita ingin mengirimkan produk kita ke beberapa gudang. Bagaimana kita memutuskan gudang mana yang harus kita kunjungi terlebih dahulu atau bagaimana kita memutuskan rute apa yang harus kita ambil untuk meminimalkan waktu pengiriman?

Optimalisasi penting terutama jika kita memiliki sumber daya yang terbatas. Lebih penting lagi, optimasi memperhatikan keuntungan dan kerugian: memilih rute pengiriman yang salah akan mengakibatkan keterlambatan pengiriman, yang dapat menimbulkan biaya penalti atau merusak produk kita di sepanjang jalan. Itulah mengapa pengoptimalan sangat penting untuk bisnis.

2.2 Objection Function and Decision Variables

Setiap masalah optimasi selalu memiliki 2 elemen: fungsi tujuan dan variabel keputusan. Fungsi objektif berarti bagaimana kita merumuskan tujuan kita, seperti bagaimana kita mengukur keuntungan untuk memaksimalkannya, atau bagaimana kita mengukur waktu pengiriman untuk meminimalkannya. Di dalam fungsi tujuan terdapat variabel keputusan, apa yang harus menjadi keputusan kita yang dapat menghasilkan keuntungan maksimal? Kami ingin memaksimalkan tujuan kita dengan memilih variabel keputusan yang tepat. Pada contoh sebelumnya, tujuan untuk memaksimalkan laba termasuk ke dalam fungsi tujuan, sedangkan jumlah produk A dan produk B yang akan diproduksi termasuk dalam variabel keputusan.

Beberapa tujuan mungkin memiliki kendala, seperti jumlah jam kerja seminggu hanya 80 jam atau jumlah bahan yang tersedia hanya 100 meter. Kendala itu penting, karena solusi apa pun yang tidak memenuhi kendala adalah solusi yang tidak layak.

2.3 Machine Learning and Optimization

Machine learning dan optimasi tidak dapat dipisahkan, keduanya saling berkaitan, meskipun tujuannya berbeda. Pembelajaran mesin berkaitan dengan prediksi atau klasifikasi berdasarkan beberapa prediktor, sedangkan optimasi berkaitan dengan menemukan nilai objektif terbaik berdasarkan pilihan variabel keputusan. Namun, mekanisme di balik sebagian besar model pembelajaran mesin adalah pengoptimalan. Sebagai contoh, metode gradient descent dari model pelatihan Neural Network adalah metode optimasi, yang tujuannya adalah untuk menemukan titik terendah dan konvergen. Contoh lain adalah pemasangan regresi linier, yang meminimalkan jumlah kesalahan kuadrat (dengan demikian, nama metode Kuadrat Terkecil).

3 Genetic Algorithm: Concepts

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3.1 Overview

“Algoritma genetika (GA) adalah algoritma pencarian stokastik yang terinspirasi oleh prinsip-prinsip dasar evolusi biologis dan seleksi alam. GA mensimulasikan evolusi organisme hidup, di mana individu yang paling kuat mendominasi yang lebih lemah, dengan meniru mekanisme evolusi biologis, seperti seleksi, persilangan, dan mutasi.” - Luca Scrucca

Algoritma Genetika adalah algoritma optimasi yang menggunakan konsep evolusi melalui seleksi alam. Evolusi melalui seleksi alam, sebagaimana dikemukakan oleh Darwin, adalah mekanisme berapa banyak jenis makhluk hidup yang beradaptasi dengan lingkungannya untuk bertahan hidup, melalui 2 prinsip utama: seleksi alam dan mutasi acak. Algoritma genetika (GA) meminjam konsep dan menggunakannya untuk mendapatkan solusi optimal dengan memilih solusi terbaik atau paling cocok di samping mutasi yang jarang dan acak. Aliran umum dari algoritma ditunjukkan di bawah ini:

knitr::include_graphics("3.1.png")

\(Genetic Algorithm\)

  1. Akan ada populasi kromosom atau solusi yang dipilih secara acak.
  2. Nilai fitness atau nilai fungsi tujuan dari masing-masing solusi dihitung.
  3. Dari populasi tersebut akan dipilih dua solusi sebagai solusi induk, baik dengan seleksi turnamen maupun metode seleksi lainnya.
  4. Solusi yang dipilih akan disilangkan untuk menciptakan solusi baru, yang disebut solusi anak.
  5. Solusi anak dapat berubah karena mutasi acak (yang memiliki kemungkinan yang sangat rendah untuk terjadi).
  6. Pada akhir iterasi, populasi baru akan dipilih dari solusi induk atau populasi awal dan solusi anak berdasarkan nilai fitness.
  7. Selama kriteria penghentian tidak terpenuhi, biasanya dalam hal jumlah iterasi, algoritma akan terus melakukan iterasi.
  8. Solusi terbaik atau optimal adalah solusi dengan nilai fitness optimal.

3.2 Elements

Ada 3 elemen utama GA: Populasi, Kromosom, dan Gen.

Populasi adalah sekelompok individu atau solusi, terutama disebut kromosom. Sebuah kromosom terdiri dari urutan gen, dengan masing-masing atau beberapa gen (tergantung pada pengkodeannya) mewakili variabel keputusan tunggal yang akan dipasang pada fungsi tujuan.

knitr::include_graphics("3.2.png")

\(Population, Chromosome, and Gene\)

Gen dapat direpresentasikan atau dikodekan dengan berbagai cara, termasuk:

  • Binary Encoding
knitr::include_graphics("3.2.2.png")

Pengkodean biner berarti bahwa gen kita dikodekan ke dalam bilangan biner, ini adalah bentuk pengkodean GA yang paling awal dan paling umum.

*Real-Valued Encoding

knitr::include_graphics("3.2.3.png")

Pengkodean bernilai nyata berarti bahwa gen kita dikodekan dalam floating point atau angka desimal. Encoding bernilai nyata dapat digunakan untuk mengoptimalkan parameter proses, karena terdiri dari bilangan floating point dan tidak cocok untuk optimasi berbasis integer.

  • Permutation Encoding
knitr::include_graphics("3.2.4.png")

Pengkodean permutasi berarti bahwa gen kita dikodekan ke dalam urutan nomor, setiap nomor secara unik ditugaskan untuk gen sehingga tidak ada 2 gen yang akan memiliki nomor atau nilai yang sama. Pengkodean ini sering digunakan dalam masalah penjadwalan atau perutean, di mana setiap permutasi mewakili satu lokasi atau titik unik.

3.3 Parents Selection

Seleksi parent dilakukan untuk memilih dua solusi yang akan digunakan untuk crossover untuk membuat solusi baru yang disebut solusi anak. Ada beberapa metode untuk memilih orang tua:

  • Pairing From Top to Bottom

Metode ini memasangkan kromosom individu teratas dalam populasi dengan individu setelahnya sampai sejumlah individu terpenuhi untuk digunakan dalam proses persilangan. Dengan kata lain, metode ini mengawinkan solusi pada baris ganjil dengan solusi pada baris genap. Metodenya sangat sederhana meskipun tidak memodelkan seleksi alam secara akurat.

  • Random Pairing

Orang tua dipilih secara acak dengan kesempatan yang sama untuk dipilih.

  • Weighted Random Pairing (Roulette Selection)
knitr::include_graphics("3.3.png")

Orang tua akan dipilih secara acak berdasarkan nilai fitness. Nilai fitness yang lebih tinggi berarti kesempatan yang lebih tinggi untuk dipilih.

  • Tournament Selection

Seleksi turnamen dilakukan dengan menyeleksi sekumpulan kromosom dari populasi dan membuat kriteria seleksi tertentu. Pemilihan turnamen efektif untuk GA yang memiliki populasi besar karena tidak perlu mengurutkan individu di dalam populasi.

3.4 Crossover and Mutation

3.4.1 Crossover

Crossover adalah proses perkawinan antara dua individu yang dipilih, proses tersebut mewakili bagaimana gen ditransfer ke keturunannya. Ada beberapa metode crossover:

  • One-point crossover

Crossover satu titik hanya menggunakan satu titik acak sebagai penanda dimana seharusnya crossover terjadi.

knitr::include_graphics("3.4.1.1.png")

  • Two-point crossover

Crossover dua titik menggunakan dua titik sebagai penanda dimana setiap kromosom harus berpisah dan bergabung dengan kromosom lainnya.

knitr::include_graphics("3.4.1.2.png")

  • Three-point crossover

Crossover tiga titik menggunakan tiga titik sebagai penanda dimana setiap kromosom harus berpisah dan bergabung dengan kromosom lainnya.

knitr::include_graphics("3.4.1.3.png")

3.4.2 Mutation

Mutasi berarti perubahan pada satu atau beberapa gen di dalam kromosom. Seperti halnya di alam, mutasi jarang terjadi, sehingga kemungkinannya kecil untuk terjadi, biasanya ditetapkan pada 0,01. Ada beberapa contoh mutasi:

  • Adjacent Exchange Mutation

Dua gen yang berdekatan ditukar secara acak.

knitr::include_graphics("3.4.2.1.png")

  • Random Exchange Mutation

Dua gen secara acak bertukar posisi.

knitr::include_graphics("3.4.2.2.png")

  • Shift Mutation

Pergeseran mutasi dilakukan dengan memposisikan ulang gen secara acak dan menggeser gen berikut setelah posisinya.

knitr::include_graphics("3.4.2.3.png")

  • Inverse Mutation

Mutasi terbalik dilakukan dengan cara membalik barisan antara dua titik acak.

knitr::include_graphics("3.4.2.4.png")

3.5 Application

Algoritma Genetika dapat diterapkan dalam berbagai permasalahan bisnis. Karena algoritme adalah tentang pengoptimalan, selama ada fungsi tujuan/kebugaran untuk dioptimalkan, GA dapat diterapkan. Beberapa contoh termasuk penjadwalan produksi, masalah knapsack (berapa banyak/berapa banyak barang yang dapat kami muat di tas atau truk kami untuk memaksimalkan ruang atau beban berat), masalah travelling salesman, dll. GA juga dapat diterapkan di bidang ilmu data, khususnya ketika kami melakukan penyetelan hyper-parameter untuk mengoptimalkan kinerja model.

4 Genetic Algorithm with R

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Di sini kami akan mengilustrasikan bagaimana GA dapat bekerja menggunakan paket GA baik pada masalah bisnis maupun pada penyetelan hyper-parameter machine learning.

4.1 Business Application

4.1.1 Production Scheduling

Misalkan kita memiliki berbagai unit mobil yang akan diproduksi di pabrik kita. Ada 7 jenis warna produk yang berbeda. Jika unit berikut memiliki warna yang berbeda dari mobil sebelumnya, maka akan ada biaya changeover (biaya yang timbul karena perubahan jenis produk), seperti biaya material yang dibutuhkan untuk membersihkan peralatan dari warna cat sebelumnya. Ada banyak cara untuk mengoptimalkan urutan warna, tetapi kami akan menggunakan yang paling sederhana di sini. Kami ingin meminimalkan jumlah setup, membuat jumlah pergantian warna atau pergantian terjadi lebih sedikit, sehingga biaya pergantian juga dapat diminimalkan.

Pertama kita impor datanya. Saya sudah menyiapkan data dummy yang bisa Anda akses di sini.

df_car <- read.csv("data_input/car_data.csv")

df_car
##     X       color
## 1   1       White
## 2   2       White
## 3   3       White
## 4   4        Gray
## 5   5      Silver
## 6   6       Black
## 7   7      Silver
## 8   8       White
## 9   9      Orange
## 10 10      Silver
## 11 11        Gray
## 12 12       Black
## 13 13      Silver
## 14 14 Solid White
## 15 15       Black
## 16 16       White
## 17 17      Silver
## 18 18        Gray
## 19 19      Orange
## 20 20       White
## 21 21       Black
## 22 22 Solid White
## 23 23       White
## 24 24        Gray
## 25 25      Silver
## 26 26      Silver
## 27 27       White
## 28 28      Silver

The objective function will be:

\[ S = 1 + \Sigma_{k=2}^{DT} \ S_k\]

  • \(S\) = jumlah pengaturan
  • \(D_T\) = Jumlah mobil/unit yang akan diproduksi
  • \(k\) = Posisi mobil dalam barisan
  • \(S_k\)= Apakah pengaturan diperlukan? 1 jika mobil berikutnya (K+1) tidak memiliki warna yang sama dengan mobil ke-k saat ini, 0 jika mobil berikutnya berwarna

Kami akan menerjemahkan fungsi tujuan menjadi fungsi R dari min_setup. Algoritma dalam paket GA dijalankan dalam konteks maksimisasi, jadi untuk menyelesaikan masalah minimasi, kita akan membuat nilai fitness kita menjadi negatif.

min_setup <- function(x){
  df <- df_car[x, ]
  print(df)
  S <- df %>% 
  mutate(color_next = lead(color),
         setup = if_else(color == color_next, 0, 1)) %>% 
  head(nrow(df)-1) %>% 
  pull("setup") %>% 
  sum() + 1
  S <- -S
  return(S)
}

Sekarang kita jalankan algoritmanya. Karena masalahnya adalah masalah penjadwalan, kami akan mengkodekan solusi kami dengan pengkodean permutasi. Kami akan menghentikan algoritma jika jumlah iterasi telah mencapai 1000 iterasi atau jika dalam 100 iterasi tidak ada peningkatan nilai fitness yang optimal.

PENTING

Pemilihan ukuran populasi dan jumlah iterasi akan sangat mempengaruhi kinerja GA. Jika ukuran populasi terlalu kecil, akan ada kumpulan gen yang terbatas dalam populasi kita sehingga solusi baru tidak akan terlalu berbeda jauh dari generasi sebelumnya. Jika jumlah iterasi terlalu sedikit, tidak akan ada cukup waktu bagi algoritma untuk menemukan solusi optimal baru. Paket GA dapat dijalankan dengan komputasi paralel.

Parameter algoritma:

  • type: Jenis pengkodean gen, di sini kita menggunakan “permutasi”
  • kebugaran: Fungsi kebugaran yang akan dioptimalkan
  • lebih rendah: Nilai terendah dari pengkodean permutasi, kami akan mengkodekan permutasi dari 1 ke jumlah mobil yang tersedia
  • atas: Nilai tertinggi dari pengkodean permutasi
  • seed: Nilai seed acak untuk mendapatkan hasil yang dapat direproduksi
  • elitism : Jumlah solusi terbaik yang akan bertahan di setiap iterasi, default adalah 5% teratas dari populasi, di sini kami menetapkannya menjadi 50 solusi yang akan bertahan
  • maxiter: Jumlah iterasi maksimal untuk menjalankan algoritma
  • popSize: Jumlah solusi dalam suatu populasi
  • run: Jumlah iterasi sebelum algoritma berhenti jika tidak ada perbaikan pada nilai fitness optimal
  • paralel: Apakah kita akan menggunakan komputasi paralel? Dapat berupa nilai logika atau jumlah inti yang digunakan

Parameter lainnya, seperti probabilitas crossover dan mutasi diserahkan ke pengaturan default.

tic()
gann <- ga(type = "permutation", fitness = min_setup, lower = 1, upper = nrow(df_car), 
    seed = 123, elitism = 50, maxiter = 300, popSize = 300, run = 30, parallel = parallel::detectCores())

summary(gann)
## -- Genetic Algorithm ------------------- 
## 
## GA settings: 
## Type                  =  permutation 
## Population size       =  300 
## Number of generations =  300 
## Elitism               =  50 
## Crossover probability =  0.8 
## Mutation probability  =  0.1 
## 
## GA results: 
## Iterations             = 91 
## Fitness function value = -6 
## Solutions = 
##       x1 x2 x3 x4 x5 x6 x7 x8 x9 x10  ...  x27 x28
## [1,]  24  4 11 18 16 20  1  8  3  23        14  22
## [2,]   4 24 11 18  3 16 20  1  8  23        14  22
## [3,]   4 11 24 18 16 20  1  8  3  23        14  22
## [4,]   4 11 24 18 20  1  8  3 23  16        14  22
## [5,]   3 16 20  1  2 23  8 27  9  19        11  18
## [6,]   4 24 11 18  3 16 20  1  8  23        22  14
## [7,]   3 16 20  1  2 23  8 27  9  19        11  18
## [8,]  14 22  4 11 24 18  3 16 20   1        15  21
## [9,]   4 11 24 18  3 16 20  1  8  23        14  22
## [10,]  3 16 20  1  2 23  8 27  9  19        11  18
##  ...                                              
## [18,] 11 24  4 18  3 16 20  1  8  23        14  22
## [19,]  4 11 24 18 16 20  1  8 27   3        14  22
toc()
## 123.77 sec elapsed

Kita dapat memplot perkembangan algoritma dengan menggunakan fungsi plot() pada objek GA.

plot(gann)

Solusi terbaik atau optimal diperoleh setidaknya pada iterasi ke-67 dan tidak mengalami perbaikan sejak saat itu, sehingga algoritma berhenti setelah 30 iterasi pada iterasi ke-96.

Output Solution adalah solusi yang menghasilkan nilai fitness yang optimal. Kita dapat memilih salah satunya karena akan menghasilkan nilai fitness yang sama. Mari kita periksa salah satunya.

min_setup(gann@solution[1, ])
##     X       color
## 24 24        Gray
## 4   4        Gray
## 11 11        Gray
## 18 18        Gray
## 16 16       White
## 20 20       White
## 1   1       White
## 8   8       White
## 3   3       White
## 23 23       White
## 27 27       White
## 2   2       White
## 7   7      Silver
## 28 28      Silver
## 5   5      Silver
## 17 17      Silver
## 26 26      Silver
## 25 25      Silver
## 13 13      Silver
## 10 10      Silver
## 12 12       Black
## 6   6       Black
## 21 21       Black
## 15 15       Black
## 9   9      Orange
## 19 19      Orange
## 14 14 Solid White
## 22 22 Solid White
## [1] -6

Jika ingin melihat semua nilai fitness dari populasi terakhir, gunakan bisa menggunakan atribut fitness dari objek GA. Kami akan meringkas nilai fitness untuk mendapatkan distribusinya.

summary(gann@fitness)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  -22.00  -16.00  -13.00  -12.43   -8.00   -6.00

Solusi terburuk dalam populasi memiliki nilai fitness 25, sedangkan solusi optimal memiliki nilai fitness 7. Dari seluruh 300 kromosom atau solusi yang dihasilkan, median nilai fitness adalah 15 sedangkan meannya adalah 14,29.

Mari kita menempatkan urutan optimal untuk data kita. Data frame yang dihasilkan akan menjadi jadwal produksi kita. Karena ada banyak solusi, mari kita lihat dua solusi optimal pertama.

Solusi pertama:

df_car[gann@solution[1, ], ]
##     X       color
## 24 24        Gray
## 4   4        Gray
## 11 11        Gray
## 18 18        Gray
## 16 16       White
## 20 20       White
## 1   1       White
## 8   8       White
## 3   3       White
## 23 23       White
## 27 27       White
## 2   2       White
## 7   7      Silver
## 28 28      Silver
## 5   5      Silver
## 17 17      Silver
## 26 26      Silver
## 25 25      Silver
## 13 13      Silver
## 10 10      Silver
## 12 12       Black
## 6   6       Black
## 21 21       Black
## 15 15       Black
## 9   9      Orange
## 19 19      Orange
## 14 14 Solid White
## 22 22 Solid White

Solusi Kedua:

df_car[gann@solution[2, ], ]
##     X       color
## 4   4        Gray
## 24 24        Gray
## 11 11        Gray
## 18 18        Gray
## 3   3       White
## 16 16       White
## 20 20       White
## 1   1       White
## 8   8       White
## 23 23       White
## 27 27       White
## 2   2       White
## 7   7      Silver
## 28 28      Silver
## 5   5      Silver
## 17 17      Silver
## 26 26      Silver
## 25 25      Silver
## 13 13      Silver
## 10 10      Silver
## 12 12       Black
## 6   6       Black
## 21 21       Black
## 15 15       Black
## 9   9      Orange
## 19 19      Orange
## 14 14 Solid White
## 22 22 Solid White

Meskipun solusi pertama dan solusi kedua memiliki urutan yang berbeda, fungsi fitness atau jumlah setup adalah sama, oleh karena itu keduanya merupakan solusi optimal dan keputusan untuk memilih mana yang harus digunakan sebenarnya diserahkan kepada pengambil keputusan. , dalam hal ini, staf kontrol produksi.

4.1.2 Knapsack Problem

Misalkan kita memiliki beberapa item untuk dikirim ke pusat distribusi. Namun, truk kami hanya dapat memuat hingga total 10 ton atau 10.000 kg, jadi kami harus memilih barang mana yang akan dikirim dan memaksimalkan berat yang dimuat. Anda dapat langsung menyelesaikan masalah ini menggunakan Metode Knapsack, tetapi Anda juga dapat menggunakan Algoritma Genetika. Di sini kita akan melihat bagaimana GA menangani masalah yang dibatasi (berat tidak boleh melebihi 10 ton atau 10.000 kg).

df_item <- data.frame(item = c("Tires", "Bumper", "Engine", "Chasis", "Seat"), freq = c(80, 
    50, 70, 50, 70), weight = c(7, 17, 158, 100, 30))

df_item
##     item freq weight
## 1  Tires   80      7
## 2 Bumper   50     17
## 3 Engine   70    158
## 4 Chasis   50    100
## 5   Seat   70     30

Setiap item memiliki jumlah dan berat masing-masing.s

Mari kita buat dataset baru dengan satu observasi yang sesuai dengan hanya 1 item.

df_item_long <- df_item[rep(rownames(df_item), df_item$freq), c(1, 3)]

df_item_long
##        item weight
## 1     Tires      7
## 1.1   Tires      7
## 1.2   Tires      7
## 1.3   Tires      7
## 1.4   Tires      7
## 1.5   Tires      7
## 1.6   Tires      7
## 1.7   Tires      7
## 1.8   Tires      7
## 1.9   Tires      7
## 1.10  Tires      7
## 1.11  Tires      7
## 1.12  Tires      7
## 1.13  Tires      7
## 1.14  Tires      7
## 1.15  Tires      7
## 1.16  Tires      7
## 1.17  Tires      7
## 1.18  Tires      7
## 1.19  Tires      7
## 1.20  Tires      7
## 1.21  Tires      7
## 1.22  Tires      7
## 1.23  Tires      7
## 1.24  Tires      7
## 1.25  Tires      7
## 1.26  Tires      7
## 1.27  Tires      7
## 1.28  Tires      7
## 1.29  Tires      7
## 1.30  Tires      7
## 1.31  Tires      7
## 1.32  Tires      7
## 1.33  Tires      7
## 1.34  Tires      7
## 1.35  Tires      7
## 1.36  Tires      7
## 1.37  Tires      7
## 1.38  Tires      7
## 1.39  Tires      7
## 1.40  Tires      7
## 1.41  Tires      7
## 1.42  Tires      7
## 1.43  Tires      7
## 1.44  Tires      7
## 1.45  Tires      7
## 1.46  Tires      7
## 1.47  Tires      7
## 1.48  Tires      7
## 1.49  Tires      7
## 1.50  Tires      7
## 1.51  Tires      7
## 1.52  Tires      7
## 1.53  Tires      7
## 1.54  Tires      7
## 1.55  Tires      7
## 1.56  Tires      7
## 1.57  Tires      7
## 1.58  Tires      7
## 1.59  Tires      7
## 1.60  Tires      7
## 1.61  Tires      7
## 1.62  Tires      7
## 1.63  Tires      7
## 1.64  Tires      7
## 1.65  Tires      7
## 1.66  Tires      7
## 1.67  Tires      7
## 1.68  Tires      7
## 1.69  Tires      7
## 1.70  Tires      7
## 1.71  Tires      7
## 1.72  Tires      7
## 1.73  Tires      7
## 1.74  Tires      7
## 1.75  Tires      7
## 1.76  Tires      7
## 1.77  Tires      7
## 1.78  Tires      7
## 1.79  Tires      7
## 2    Bumper     17
## 2.1  Bumper     17
## 2.2  Bumper     17
## 2.3  Bumper     17
## 2.4  Bumper     17
## 2.5  Bumper     17
## 2.6  Bumper     17
## 2.7  Bumper     17
## 2.8  Bumper     17
## 2.9  Bumper     17
## 2.10 Bumper     17
## 2.11 Bumper     17
## 2.12 Bumper     17
## 2.13 Bumper     17
## 2.14 Bumper     17
## 2.15 Bumper     17
## 2.16 Bumper     17
## 2.17 Bumper     17
## 2.18 Bumper     17
## 2.19 Bumper     17
## 2.20 Bumper     17
## 2.21 Bumper     17
## 2.22 Bumper     17
## 2.23 Bumper     17
## 2.24 Bumper     17
## 2.25 Bumper     17
## 2.26 Bumper     17
## 2.27 Bumper     17
## 2.28 Bumper     17
## 2.29 Bumper     17
## 2.30 Bumper     17
## 2.31 Bumper     17
## 2.32 Bumper     17
## 2.33 Bumper     17
## 2.34 Bumper     17
## 2.35 Bumper     17
## 2.36 Bumper     17
## 2.37 Bumper     17
## 2.38 Bumper     17
## 2.39 Bumper     17
## 2.40 Bumper     17
## 2.41 Bumper     17
## 2.42 Bumper     17
## 2.43 Bumper     17
## 2.44 Bumper     17
## 2.45 Bumper     17
## 2.46 Bumper     17
## 2.47 Bumper     17
## 2.48 Bumper     17
## 2.49 Bumper     17
## 3    Engine    158
## 3.1  Engine    158
## 3.2  Engine    158
## 3.3  Engine    158
## 3.4  Engine    158
## 3.5  Engine    158
## 3.6  Engine    158
## 3.7  Engine    158
## 3.8  Engine    158
## 3.9  Engine    158
## 3.10 Engine    158
## 3.11 Engine    158
## 3.12 Engine    158
## 3.13 Engine    158
## 3.14 Engine    158
## 3.15 Engine    158
## 3.16 Engine    158
## 3.17 Engine    158
## 3.18 Engine    158
## 3.19 Engine    158
## 3.20 Engine    158
## 3.21 Engine    158
## 3.22 Engine    158
## 3.23 Engine    158
## 3.24 Engine    158
## 3.25 Engine    158
## 3.26 Engine    158
## 3.27 Engine    158
## 3.28 Engine    158
## 3.29 Engine    158
## 3.30 Engine    158
## 3.31 Engine    158
## 3.32 Engine    158
## 3.33 Engine    158
## 3.34 Engine    158
## 3.35 Engine    158
## 3.36 Engine    158
## 3.37 Engine    158
## 3.38 Engine    158
## 3.39 Engine    158
## 3.40 Engine    158
## 3.41 Engine    158
## 3.42 Engine    158
## 3.43 Engine    158
## 3.44 Engine    158
## 3.45 Engine    158
## 3.46 Engine    158
## 3.47 Engine    158
## 3.48 Engine    158
## 3.49 Engine    158
## 3.50 Engine    158
## 3.51 Engine    158
## 3.52 Engine    158
## 3.53 Engine    158
## 3.54 Engine    158
## 3.55 Engine    158
## 3.56 Engine    158
## 3.57 Engine    158
## 3.58 Engine    158
## 3.59 Engine    158
## 3.60 Engine    158
## 3.61 Engine    158
## 3.62 Engine    158
## 3.63 Engine    158
## 3.64 Engine    158
## 3.65 Engine    158
## 3.66 Engine    158
## 3.67 Engine    158
## 3.68 Engine    158
## 3.69 Engine    158
## 4    Chasis    100
## 4.1  Chasis    100
## 4.2  Chasis    100
## 4.3  Chasis    100
## 4.4  Chasis    100
## 4.5  Chasis    100
## 4.6  Chasis    100
## 4.7  Chasis    100
## 4.8  Chasis    100
## 4.9  Chasis    100
## 4.10 Chasis    100
## 4.11 Chasis    100
## 4.12 Chasis    100
## 4.13 Chasis    100
## 4.14 Chasis    100
## 4.15 Chasis    100
## 4.16 Chasis    100
## 4.17 Chasis    100
## 4.18 Chasis    100
## 4.19 Chasis    100
## 4.20 Chasis    100
## 4.21 Chasis    100
## 4.22 Chasis    100
## 4.23 Chasis    100
## 4.24 Chasis    100
## 4.25 Chasis    100
## 4.26 Chasis    100
## 4.27 Chasis    100
## 4.28 Chasis    100
## 4.29 Chasis    100
## 4.30 Chasis    100
## 4.31 Chasis    100
## 4.32 Chasis    100
## 4.33 Chasis    100
## 4.34 Chasis    100
## 4.35 Chasis    100
## 4.36 Chasis    100
## 4.37 Chasis    100
## 4.38 Chasis    100
## 4.39 Chasis    100
## 4.40 Chasis    100
## 4.41 Chasis    100
## 4.42 Chasis    100
## 4.43 Chasis    100
## 4.44 Chasis    100
## 4.45 Chasis    100
## 4.46 Chasis    100
## 4.47 Chasis    100
## 4.48 Chasis    100
## 4.49 Chasis    100
## 5      Seat     30
## 5.1    Seat     30
## 5.2    Seat     30
## 5.3    Seat     30
## 5.4    Seat     30
## 5.5    Seat     30
## 5.6    Seat     30
## 5.7    Seat     30
## 5.8    Seat     30
## 5.9    Seat     30
## 5.10   Seat     30
## 5.11   Seat     30
## 5.12   Seat     30
## 5.13   Seat     30
## 5.14   Seat     30
## 5.15   Seat     30
## 5.16   Seat     30
## 5.17   Seat     30
## 5.18   Seat     30
## 5.19   Seat     30
## 5.20   Seat     30
## 5.21   Seat     30
## 5.22   Seat     30
## 5.23   Seat     30
## 5.24   Seat     30
## 5.25   Seat     30
## 5.26   Seat     30
## 5.27   Seat     30
## 5.28   Seat     30
## 5.29   Seat     30
## 5.30   Seat     30
## 5.31   Seat     30
## 5.32   Seat     30
## 5.33   Seat     30
## 5.34   Seat     30
## 5.35   Seat     30
## 5.36   Seat     30
## 5.37   Seat     30
## 5.38   Seat     30
## 5.39   Seat     30
## 5.40   Seat     30
## 5.41   Seat     30
## 5.42   Seat     30
## 5.43   Seat     30
## 5.44   Seat     30
## 5.45   Seat     30
## 5.46   Seat     30
## 5.47   Seat     30
## 5.48   Seat     30
## 5.49   Seat     30
## 5.50   Seat     30
## 5.51   Seat     30
## 5.52   Seat     30
## 5.53   Seat     30
## 5.54   Seat     30
## 5.55   Seat     30
## 5.56   Seat     30
## 5.57   Seat     30
## 5.58   Seat     30
## 5.59   Seat     30
## 5.60   Seat     30
## 5.61   Seat     30
## 5.62   Seat     30
## 5.63   Seat     30
## 5.64   Seat     30
## 5.65   Seat     30
## 5.66   Seat     30
## 5.67   Seat     30
## 5.68   Seat     30
## 5.69   Seat     30

The objective function will be: \[ Total Weight= \Sigma_{i=1}^{k} \ W_k*n_k\]

  • \(Total Weight\) = Total berat
  • \(k\) = Jumlah data unik
  • \(W_k\) = berat data k
  • \(n_k\)= nomor item k yang dipilih

Batasan:

\[ Total Weight <= 10000 \]

weightlimit <- 10000

evalFunc <- function(x) {
    df <- df_item_long[x == 1, ]
    total_weight <- sum(df$weight)
    total_weight <- if_else(total_weight > weightlimit, 0, total_weight)
    return(total_weight)
}

Mari kita jalankan algoritmanya. Kami akan menggunakan pengkodean biner karena variabel keputusan bernilai integer. Setiap bit mewakili nilai logis tunggal apakah item tersebut dipilih.

tic()
gann2 <- ga(type = "binary", fitness = evalFunc, popSize = 100, maxiter = 100, run = 20, 
    nBits = nrow(df_item_long), seed = 123)

summary(gann2)
## -- Genetic Algorithm ------------------- 
## 
## GA settings: 
## Type                  =  binary 
## Population size       =  100 
## Number of generations =  100 
## Elitism               =  5 
## Crossover probability =  0.8 
## Mutation probability  =  0.1 
## 
## GA results: 
## Iterations             = 22 
## Fitness function value = 10000 
## Solutions = 
##      x1 x2 x3 x4 x5 x6 x7 x8 x9 x10  ...  x319 x320
## [1,]  1  1  0  1  1  1  1  0  1   1          0    1
## [2,]  1  1  0  1  1  1  1  0  1   1          1    1
## [3,]  0  1  1  1  1  0  0  1  1   0          0    0
## [4,]  1  1  0  1  1  1  1  0  1   1          1    1
## [5,]  1  1  0  1  1  1  1  0  1   1          1    0
toc()
## 1.51 sec elapsed
plot(gann2)

Mari pilih salah satu solusi sebagai pilihan optimal.

df_sol <- df_item_long[gann2@solution[1, ] == 1, ]

df_sol <- df_sol %>% group_by(item, weight) %>% summarise(freq = n()) %>% mutate(total_weigth = freq * 
    weight)
## `summarise()` has grouped output by 'item'. You can override using the `.groups` argument.
df_sol
## # A tibble: 5 x 4
## # Groups:   item [5]
##   item   weight  freq total_weigth
##   <chr>   <dbl> <int>        <dbl>
## 1 Bumper     17    21          357
## 2 Chasis    100    32         3200
## 3 Engine    158    33         5214
## 4 Seat       30    30          900
## 5 Tires       7    47          329

Total berat:

sum(df_sol$total_weigth)
## [1] 10000

Nilai fitness yang optimal sama dengan constrainnya, sehingga kita dapat memuat kendaraan secara penuh sesuai dengan kapasitas maksimumnya.

Penerapan GA di berbagai bidang masih banyak, terutama dalam proses manufaktur dan engineering. Selama ada fungsi fitness dan variabel keputusan, GA dapat diterapkan terhadap masalah tersebut.

4.2 Hyper-Parameter Tuning on Machine Learning Model

Sekarang kami akan mencoba menerapkan algoritme untuk mengoptimalkan model pembelajaran mesin kami. Kami akan menggunakan dataset attrition.

4.2.1 Import Data

attrition <- read.csv("data_input/attrition.csv")

attrition <- attrition %>% mutate(job_involvement = as.factor(job_involvement), education = as.factor(education), 
    environment_satisfaction = as.factor(environment_satisfaction), performance_rating = as.factor(performance_rating), 
    relationship_satisfaction = as.factor(relationship_satisfaction), work_life_balance = as.factor(work_life_balance))

attrition
##      attrition age   business_travel daily_rate           department
## 1          yes  41     travel_rarely       1102                sales
## 2           no  49 travel_frequently        279 research_development
## 3          yes  37     travel_rarely       1373 research_development
## 4           no  33 travel_frequently       1392 research_development
## 5           no  27     travel_rarely        591 research_development
## 6           no  32 travel_frequently       1005 research_development
## 7           no  59     travel_rarely       1324 research_development
## 8           no  30     travel_rarely       1358 research_development
## 9           no  38 travel_frequently        216 research_development
## 10          no  36     travel_rarely       1299 research_development
## 11          no  35     travel_rarely        809 research_development
## 12          no  29     travel_rarely        153 research_development
## 13          no  31     travel_rarely        670 research_development
## 14          no  34     travel_rarely       1346 research_development
## 15         yes  28     travel_rarely        103 research_development
## 16          no  29     travel_rarely       1389 research_development
## 17          no  32     travel_rarely        334 research_development
## 18          no  22        non_travel       1123 research_development
## 19          no  53     travel_rarely       1219                sales
## 20          no  38     travel_rarely        371 research_development
## 21          no  24        non_travel        673 research_development
## 22         yes  36     travel_rarely       1218                sales
## 23          no  34     travel_rarely        419 research_development
## 24          no  21     travel_rarely        391 research_development
## 25         yes  34     travel_rarely        699 research_development
## 26          no  53     travel_rarely       1282 research_development
## 27         yes  32 travel_frequently       1125 research_development
## 28          no  42     travel_rarely        691                sales
## 29          no  44     travel_rarely        477 research_development
## 30          no  46     travel_rarely        705                sales
## 31          no  33     travel_rarely        924 research_development
## 32          no  44     travel_rarely       1459 research_development
## 33          no  30     travel_rarely        125 research_development
## 34         yes  39     travel_rarely        895                sales
## 35         yes  24     travel_rarely        813 research_development
## 36          no  43     travel_rarely       1273 research_development
## 37         yes  50     travel_rarely        869                sales
## 38          no  35     travel_rarely        890                sales
## 39          no  36     travel_rarely        852 research_development
## 40          no  33 travel_frequently       1141                sales
## 41          no  35     travel_rarely        464 research_development
## 42          no  27     travel_rarely       1240 research_development
## 43         yes  26     travel_rarely       1357 research_development
## 44          no  27 travel_frequently        994                sales
## 45          no  30 travel_frequently        721 research_development
## 46         yes  41     travel_rarely       1360 research_development
## 47          no  34        non_travel       1065                sales
## 48          no  37     travel_rarely        408 research_development
## 49          no  46 travel_frequently       1211                sales
## 50          no  35     travel_rarely       1229 research_development
## 51         yes  48     travel_rarely        626 research_development
## 52         yes  28     travel_rarely       1434 research_development
## 53          no  44     travel_rarely       1488                sales
## 54          no  35        non_travel       1097 research_development
## 55          no  26     travel_rarely       1443                sales
## 56          no  33 travel_frequently        515 research_development
## 57          no  35 travel_frequently        853                sales
## 58          no  35     travel_rarely       1142 research_development
## 59          no  31     travel_rarely        655 research_development
## 60          no  37     travel_rarely       1115 research_development
## 61          no  32     travel_rarely        427 research_development
## 62          no  38 travel_frequently        653 research_development
## 63          no  50     travel_rarely        989 research_development
## 64          no  59     travel_rarely       1435                sales
## 65          no  36     travel_rarely       1223 research_development
## 66          no  55     travel_rarely        836 research_development
## 67          no  36 travel_frequently       1195 research_development
## 68          no  45     travel_rarely       1339 research_development
## 69          no  35 travel_frequently        664 research_development
## 70         yes  36     travel_rarely        318 research_development
## 71          no  59 travel_frequently       1225                sales
## 72          no  29     travel_rarely       1328 research_development
## 73          no  31     travel_rarely       1082 research_development
## 74          no  32     travel_rarely        548 research_development
## 75          no  36     travel_rarely        132 research_development
## 76          no  31     travel_rarely        746 research_development
## 77          no  35     travel_rarely        776                sales
## 78          no  45     travel_rarely        193 research_development
## 79          no  37     travel_rarely        397 research_development
## 80          no  46     travel_rarely        945      human_resources
## 81          no  30     travel_rarely        852 research_development
## 82          no  35     travel_rarely       1214 research_development
## 83          no  55     travel_rarely        111                sales
## 84          no  38        non_travel        573 research_development
## 85          no  34     travel_rarely       1153 research_development
## 86          no  56     travel_rarely       1400 research_development
## 87          no  23     travel_rarely        541                sales
## 88          no  51     travel_rarely        432 research_development
## 89          no  30     travel_rarely        288 research_development
## 90         yes  46     travel_rarely        669                sales
## 91          no  40 travel_frequently        530 research_development
## 92          no  51     travel_rarely        632                sales
## 93          no  30     travel_rarely       1334                sales
## 94          no  46 travel_frequently        638 research_development
## 95          no  32     travel_rarely       1093                sales
## 96          no  54     travel_rarely       1217 research_development
## 97          no  24     travel_rarely       1353                sales
## 98          no  28        non_travel        120                sales
## 99          no  58     travel_rarely        682                sales
## 100         no  44        non_travel        489 research_development
## 101        yes  37     travel_rarely        807      human_resources
## 102         no  32     travel_rarely        827 research_development
## 103        yes  20 travel_frequently        871 research_development
## 104         no  34     travel_rarely        665 research_development
## 105         no  37        non_travel       1040 research_development
## 106         no  59        non_travel       1420      human_resources
## 107         no  50 travel_frequently       1115 research_development
## 108        yes  25     travel_rarely        240                sales
## 109         no  25     travel_rarely       1280 research_development
## 110         no  22     travel_rarely        534 research_development
## 111         no  51 travel_frequently       1456 research_development
## 112        yes  34 travel_frequently        658 research_development
## 113         no  54        non_travel        142      human_resources
## 114         no  24     travel_rarely       1127 research_development
## 115         no  34     travel_rarely       1031 research_development
## 116         no  37     travel_rarely       1189                sales
## 117         no  34     travel_rarely       1354 research_development
## 118         no  36 travel_frequently       1467                sales
## 119         no  36     travel_rarely        922 research_development
## 120         no  43 travel_frequently        394                sales
## 121         no  30 travel_frequently       1312 research_development
## 122         no  33        non_travel        750                sales
## 123        yes  56     travel_rarely        441 research_development
## 124         no  51     travel_rarely        684 research_development
## 125        yes  31     travel_rarely        249                sales
## 126         no  26     travel_rarely        841 research_development
## 127        yes  58     travel_rarely        147 research_development
## 128        yes  19     travel_rarely        528                sales
## 129         no  22     travel_rarely        594 research_development
## 130         no  49     travel_rarely        470 research_development
## 131         no  43 travel_frequently        957 research_development
## 132         no  50 travel_frequently        809                sales
## 133        yes  31     travel_rarely        542                sales
## 134         no  41     travel_rarely        802                sales
## 135         no  26     travel_rarely       1355      human_resources
## 136         no  36     travel_rarely        216 research_development
## 137        yes  51 travel_frequently       1150 research_development
## 138         no  39     travel_rarely       1329                sales
## 139         no  25     travel_rarely        959                sales
## 140         no  30     travel_rarely       1240      human_resources
## 141        yes  32     travel_rarely       1033 research_development
## 142         no  45     travel_rarely       1316 research_development
## 143         no  38     travel_rarely        364 research_development
## 144         no  30     travel_rarely        438 research_development
## 145         no  32 travel_frequently        689                sales
## 146         no  30     travel_rarely        201 research_development
## 147         no  30     travel_rarely       1427 research_development
## 148         no  41 travel_frequently        857 research_development
## 149         no  41     travel_rarely        933 research_development
## 150         no  19     travel_rarely       1181 research_development
## 151         no  40 travel_frequently       1395 research_development
## 152         no  35     travel_rarely        662                sales
## 153         no  53     travel_rarely       1436                sales
## 154         no  45     travel_rarely        194 research_development
## 155         no  32 travel_frequently        967                sales
## 156         no  29        non_travel       1496 research_development
## 157         no  51     travel_rarely       1169 research_development
## 158         no  58     travel_rarely       1145 research_development
## 159         no  40     travel_rarely        630                sales
## 160         no  34 travel_frequently        303                sales
## 161         no  22     travel_rarely       1256 research_development
## 162         no  27        non_travel        691 research_development
## 163         no  28     travel_rarely        440 research_development
## 164         no  57     travel_rarely        334 research_development
## 165         no  27        non_travel       1450 research_development
## 166         no  50     travel_rarely       1452 research_development
## 167         no  41     travel_rarely        465 research_development
## 168         no  30     travel_rarely       1339                sales
## 169         no  38     travel_rarely        702                sales
## 170         no  32     travel_rarely        120 research_development
## 171         no  27     travel_rarely       1157 research_development
## 172        yes  19 travel_frequently        602                sales
## 173         no  36 travel_frequently       1480 research_development
## 174         no  30        non_travel        111 research_development
## 175         no  45     travel_rarely       1268                sales
## 176         no  56     travel_rarely        713 research_development
## 177         no  33     travel_rarely        134 research_development
## 178        yes  19     travel_rarely        303 research_development
## 179         no  46     travel_rarely        526                sales
## 180         no  38     travel_rarely       1380 research_development
## 181         no  31     travel_rarely        140 research_development
## 182         no  34     travel_rarely        629 research_development
## 183        yes  41     travel_rarely       1356                sales
## 184         no  50     travel_rarely        328 research_development
## 185         no  53     travel_rarely       1084 research_development
## 186         no  33     travel_rarely        931 research_development
## 187         no  40     travel_rarely        989 research_development
## 188         no  55     travel_rarely        692 research_development
## 189         no  34 travel_frequently       1069 research_development
## 190         no  51     travel_rarely        313 research_development
## 191         no  52     travel_rarely        699 research_development
## 192         no  27     travel_rarely        894 research_development
## 193        yes  35     travel_rarely        556 research_development
## 194         no  43        non_travel       1344 research_development
## 195         no  45        non_travel       1195 research_development
## 196         no  37     travel_rarely        290 research_development
## 197         no  35 travel_frequently        138 research_development
## 198         no  42        non_travel        926 research_development
## 199         no  38     travel_rarely       1261 research_development
## 200         no  38     travel_rarely       1084 research_development
## 201         no  27 travel_frequently        472 research_development
## 202         no  49        non_travel       1002 research_development
## 203         no  34 travel_frequently        878 research_development
## 204         no  40     travel_rarely        905 research_development
## 205        yes  38     travel_rarely       1180 research_development
## 206        yes  29     travel_rarely        121                sales
## 207         no  22     travel_rarely       1136 research_development
## 208         no  36 travel_frequently        635 research_development
## 209         no  40        non_travel       1151 research_development
## 210         no  46     travel_rarely        644 research_development
## 211        yes  32     travel_rarely       1045                sales
## 212         no  30        non_travel        829 research_development
## 213         no  27 travel_frequently       1242                sales
## 214         no  51     travel_rarely       1469 research_development
## 215        yes  30     travel_rarely       1005 research_development
## 216         no  41     travel_rarely        896                sales
## 217        yes  30 travel_frequently        334                sales
## 218        yes  29     travel_rarely        992 research_development
## 219         no  45        non_travel       1052                sales
## 220         no  54     travel_rarely       1147                sales
## 221         no  36     travel_rarely       1396 research_development
## 222         no  33     travel_rarely        147 research_development
## 223         no  37 travel_frequently        663 research_development
## 224         no  38     travel_rarely        119                sales
## 225         no  31        non_travel        979 research_development
## 226         no  59     travel_rarely        142 research_development
## 227         no  37 travel_frequently        319                sales
## 228         no  29 travel_frequently       1413                sales
## 229         no  35 travel_frequently        944                sales
## 230        yes  29     travel_rarely        896 research_development
## 231         no  52     travel_rarely       1323 research_development
## 232         no  42     travel_rarely        532 research_development
## 233         no  59     travel_rarely        818      human_resources
## 234         no  50     travel_rarely        854                sales
## 235        yes  33     travel_rarely        813 research_development
## 236         no  43     travel_rarely       1034                sales
## 237        yes  33     travel_rarely        465 research_development
## 238         no  52        non_travel        771                sales
## 239         no  32     travel_rarely       1401                sales
## 240        yes  32     travel_rarely        515 research_development
## 241         no  39     travel_rarely       1431 research_development
## 242         no  32        non_travel        976                sales
## 243         no  41     travel_rarely       1411 research_development
## 244         no  40     travel_rarely       1300 research_development
## 245         no  45     travel_rarely        252 research_development
## 246         no  31 travel_frequently       1327 research_development
## 247         no  33     travel_rarely        832 research_development
## 248         no  34     travel_rarely        470 research_development
## 249         no  37     travel_rarely       1017 research_development
## 250         no  45 travel_frequently       1199 research_development
## 251        yes  37 travel_frequently        504 research_development
## 252         no  39 travel_frequently        505 research_development
## 253         no  29     travel_rarely        665 research_development
## 254         no  42     travel_rarely        916 research_development
## 255         no  29     travel_rarely       1247                sales
## 256         no  25     travel_rarely        685 research_development
## 257         no  42     travel_rarely        269 research_development
## 258         no  40     travel_rarely       1416 research_development
## 259         no  51     travel_rarely        833 research_development
## 260        yes  31 travel_frequently        307 research_development
## 261         no  32 travel_frequently       1311 research_development
## 262         no  38        non_travel       1327                sales
## 263         no  32     travel_rarely        128 research_development
## 264         no  46     travel_rarely        488                sales
## 265        yes  28     travel_rarely        529 research_development
## 266         no  29     travel_rarely       1210                sales
## 267         no  31     travel_rarely       1463 research_development
## 268         no  25        non_travel        675 research_development
## 269         no  45     travel_rarely       1385 research_development
## 270         no  36     travel_rarely       1403 research_development
## 271         no  55     travel_rarely        452 research_development
## 272        yes  47        non_travel        666 research_development
## 273         no  28     travel_rarely       1158 research_development
## 274         no  37     travel_rarely        228                sales
## 275         no  21     travel_rarely        996 research_development
## 276         no  37        non_travel        728 research_development
## 277         no  35     travel_rarely       1315 research_development
## 278         no  38     travel_rarely        322                sales
## 279         no  26 travel_frequently       1479 research_development
## 280         no  50     travel_rarely        797 research_development
## 281         no  53     travel_rarely       1070 research_development
## 282         no  42     travel_rarely        635                sales
## 283         no  29 travel_frequently        442                sales
## 284         no  55     travel_rarely        147 research_development
## 285         no  26 travel_frequently        496 research_development
## 286         no  37     travel_rarely       1372 research_development
## 287        yes  44 travel_frequently        920 research_development
## 288         no  38     travel_rarely        688 research_development
## 289        yes  26     travel_rarely       1449 research_development
## 290         no  28     travel_rarely       1117 research_development
## 291         no  49 travel_frequently        636 research_development
## 292         no  36     travel_rarely        506 research_development
## 293         no  31 travel_frequently        444                sales
## 294        yes  26     travel_rarely        950                sales
## 295         no  37 travel_frequently        889 research_development
## 296         no  42 travel_frequently        555                sales
## 297        yes  18     travel_rarely        230 research_development
## 298         no  35     travel_rarely       1232                sales
## 299         no  36 travel_frequently        566 research_development
## 300         no  51     travel_rarely       1302 research_development
## 301         no  41     travel_rarely        334                sales
## 302         no  18     travel_rarely        812                sales
## 303         no  28     travel_rarely       1476 research_development
## 304         no  31     travel_rarely        218                sales
## 305         no  39     travel_rarely       1132 research_development
## 306         no  36        non_travel       1105 research_development
## 307         no  32     travel_rarely        906                sales
## 308         no  38     travel_rarely        849 research_development
## 309         no  58        non_travel        390 research_development
## 310         no  31     travel_rarely        691 research_development
## 311         no  31     travel_rarely        106      human_resources
## 312         no  45 travel_frequently       1249 research_development
## 313         no  31     travel_rarely        192 research_development
## 314         no  33 travel_frequently        553 research_development
## 315         no  39     travel_rarely        117 research_development
## 316         no  43 travel_frequently        185 research_development
## 317         no  49     travel_rarely       1091 research_development
## 318        yes  52     travel_rarely        723 research_development
## 319         no  27     travel_rarely       1220 research_development
## 320         no  32     travel_rarely        588                sales
## 321         no  27     travel_rarely       1377                sales
## 322         no  31     travel_rarely        691                sales
## 323         no  32     travel_rarely       1018 research_development
## 324        yes  28     travel_rarely       1157 research_development
## 325         no  30     travel_rarely       1275 research_development
## 326         no  31 travel_frequently        798 research_development
## 327         no  39 travel_frequently        672 research_development
## 328        yes  39     travel_rarely       1162                sales
## 329         no  33 travel_frequently        508                sales
## 330         no  47     travel_rarely       1482 research_development
## 331         no  43 travel_frequently        559 research_development
## 332         no  27        non_travel        210                sales
## 333         no  54 travel_frequently        928 research_development
## 334         no  43     travel_rarely       1001 research_development
## 335         no  45     travel_rarely        549 research_development
## 336         no  40     travel_rarely       1124                sales
## 337        yes  29     travel_rarely        318 research_development
## 338         no  29     travel_rarely        738 research_development
## 339         no  30     travel_rarely        570                sales
## 340         no  27     travel_rarely       1130                sales
## 341         no  37     travel_rarely       1192 research_development
## 342         no  38     travel_rarely        343 research_development
## 343         no  31     travel_rarely       1232 research_development
## 344         no  29     travel_rarely        144                sales
## 345         no  35     travel_rarely       1296 research_development
## 346         no  23     travel_rarely       1309 research_development
## 347         no  41     travel_rarely        483 research_development
## 348         no  47 travel_frequently       1309                sales
## 349         no  42     travel_rarely        810 research_development
## 350         no  29        non_travel        746                sales
## 351         no  42     travel_rarely        544      human_resources
## 352         no  32     travel_rarely       1062 research_development
## 353         no  48     travel_rarely        530                sales
## 354         no  37     travel_rarely       1319 research_development
## 355         no  30        non_travel        641                sales
## 356         no  26     travel_rarely        933                sales
## 357         no  42     travel_rarely       1332 research_development
## 358        yes  21 travel_frequently        756                sales
## 359         no  36        non_travel        845                sales
## 360         no  36 travel_frequently        541                sales
## 361         no  57     travel_rarely        593 research_development
## 362         no  40     travel_rarely       1171 research_development
## 363         no  21        non_travel        895                sales
## 364        yes  33     travel_rarely        350                sales
## 365         no  37     travel_rarely        921 research_development
## 366         no  46        non_travel       1144 research_development
## 367        yes  41 travel_frequently        143                sales
## 368         no  50     travel_rarely       1046 research_development
## 369        yes  40     travel_rarely        575                sales
## 370         no  31     travel_rarely        408 research_development
## 371        yes  21     travel_rarely        156                sales
## 372         no  29     travel_rarely       1283 research_development
## 373         no  35     travel_rarely        755 research_development
## 374         no  27     travel_rarely       1469 research_development
## 375         no  28     travel_rarely        304                sales
## 376         no  49     travel_rarely       1261 research_development
## 377         no  51     travel_rarely       1178                sales
## 378         no  36     travel_rarely        329 research_development
## 379        yes  34        non_travel       1362                sales
## 380         no  55     travel_rarely       1311 research_development
## 381         no  24     travel_rarely       1371                sales
## 382         no  30     travel_rarely        202                sales
## 383        yes  26 travel_frequently        575 research_development
## 384         no  22     travel_rarely        253 research_development
## 385         no  36     travel_rarely        164                sales
## 386        yes  30 travel_frequently        464 research_development
## 387         no  37     travel_rarely       1107 research_development
## 388         no  40     travel_rarely        759                sales
## 389         no  42     travel_rarely        201 research_development
## 390         no  37     travel_rarely       1305 research_development
## 391         no  43     travel_rarely        982 research_development
## 392         no  40     travel_rarely        555 research_development
## 393         no  54     travel_rarely        821 research_development
## 394         no  34        non_travel       1381                sales
## 395         no  31     travel_rarely        480 research_development
## 396         no  43 travel_frequently        313 research_development
## 397         no  43     travel_rarely       1473 research_development
## 398         no  25     travel_rarely        891                sales
## 399         no  37        non_travel       1063 research_development
## 400         no  31     travel_rarely        329 research_development
## 401         no  39 travel_frequently       1218 research_development
## 402         no  56 travel_frequently        906                sales
## 403         no  30     travel_rarely       1082                sales
## 404         no  41     travel_rarely        645                sales
## 405         no  28     travel_rarely       1300 research_development
## 406        yes  25     travel_rarely        688 research_development
## 407         no  52     travel_rarely        319 research_development
## 408         no  45     travel_rarely        192 research_development
## 409         no  52     travel_rarely       1490 research_development
## 410         no  42 travel_frequently        532 research_development
## 411         no  30     travel_rarely        317 research_development
## 412         no  60     travel_rarely        422 research_development
## 413         no  46     travel_rarely       1485 research_development
## 414         no  42 travel_frequently       1368 research_development
## 415        yes  24     travel_rarely       1448                sales
## 416        yes  34 travel_frequently        296                sales
## 417         no  38 travel_frequently       1490 research_development
## 418         no  40     travel_rarely       1398                sales
## 419         no  26     travel_rarely       1349 research_development
## 420         no  30        non_travel       1400 research_development
## 421         no  29     travel_rarely        986 research_development
## 422        yes  29     travel_rarely        408 research_development
## 423        yes  19     travel_rarely        489      human_resources
## 424         no  30        non_travel       1398                sales
## 425         no  57     travel_rarely        210                sales
## 426         no  50     travel_rarely       1099 research_development
## 427         no  30        non_travel       1116 research_development
## 428         no  60 travel_frequently       1499                sales
## 429         no  47     travel_rarely        983 research_development
## 430         no  46     travel_rarely       1009 research_development
## 431         no  35     travel_rarely        144 research_development
## 432         no  54     travel_rarely        548 research_development
## 433         no  34     travel_rarely       1303 research_development
## 434         no  46     travel_rarely       1125                sales
## 435         no  31     travel_rarely       1274 research_development
## 436        yes  33     travel_rarely       1277 research_development
## 437        yes  33     travel_rarely        587 research_development
## 438         no  30     travel_rarely        413                sales
## 439         no  35     travel_rarely       1276 research_development
## 440        yes  31 travel_frequently        534 research_development
## 441        yes  34 travel_frequently        988      human_resources
## 442         no  42 travel_frequently       1474 research_development
## 443         no  36        non_travel        635                sales
## 444        yes  22 travel_frequently       1368 research_development
## 445         no  48     travel_rarely        163                sales
## 446         no  55     travel_rarely       1117                sales
## 447         no  41        non_travel        267                sales
## 448         no  35     travel_rarely        619                sales
## 449         no  40     travel_rarely        302 research_development
## 450         no  39 travel_frequently        443 research_development
## 451         no  31     travel_rarely        828                sales
## 452         no  42     travel_rarely        319 research_development
## 453         no  45     travel_rarely        561                sales
## 454        yes  26 travel_frequently        426      human_resources
## 455         no  29     travel_rarely        232 research_development
## 456         no  33     travel_rarely        922 research_development
## 457         no  31     travel_rarely        688                sales
## 458        yes  18 travel_frequently       1306                sales
## 459         no  40        non_travel       1094                sales
## 460         no  41        non_travel        509 research_development
## 461         no  26     travel_rarely        775                sales
## 462         no  35     travel_rarely        195                sales
## 463         no  34     travel_rarely        258                sales
## 464        yes  26     travel_rarely        471 research_development
## 465         no  37     travel_rarely        799 research_development
## 466         no  46 travel_frequently       1034 research_development
## 467         no  41     travel_rarely       1276                sales
## 468         no  37        non_travel        142                sales
## 469         no  52     travel_rarely        956 research_development
## 470        yes  32        non_travel       1474                sales
## 471         no  24 travel_frequently        535                sales
## 472         no  38     travel_rarely       1495 research_development
## 473         no  37     travel_rarely        446 research_development
## 474         no  49     travel_rarely       1245 research_development
## 475         no  24     travel_rarely        691 research_development
## 476         no  26     travel_rarely        703                sales
## 477         no  24     travel_rarely        823 research_development
## 478         no  50 travel_frequently       1246      human_resources
## 479         no  25     travel_rarely        622                sales
## 480        yes  24 travel_frequently       1287 research_development
## 481        yes  30 travel_frequently        448                sales
## 482         no  34     travel_rarely        254 research_development
## 483        yes  31     travel_rarely       1365                sales
## 484         no  35     travel_rarely        538 research_development
## 485         no  31     travel_rarely        525                sales
## 486         no  27     travel_rarely        798 research_development
## 487         no  37     travel_rarely        558                sales
## 488         no  20     travel_rarely        959 research_development
## 489         no  42     travel_rarely        622 research_development
## 490         no  43     travel_rarely        782 research_development
## 491         no  38     travel_rarely        362 research_development
## 492         no  43 travel_frequently       1001 research_development
## 493         no  48     travel_rarely       1236 research_development
## 494         no  44     travel_rarely       1112      human_resources
## 495         no  34     travel_rarely        204                sales
## 496        yes  27     travel_rarely       1420                sales
## 497         no  21     travel_rarely       1343                sales
## 498         no  44     travel_rarely       1315 research_development
## 499         no  22     travel_rarely        604 research_development
## 500         no  33     travel_rarely       1216                sales
## 501         no  32     travel_rarely        646 research_development
## 502         no  30 travel_frequently        160 research_development
## 503         no  53     travel_rarely        238                sales
## 504         no  34     travel_rarely       1397 research_development
## 505        yes  45 travel_frequently        306                sales
## 506         no  26     travel_rarely        991 research_development
## 507         no  37     travel_rarely        482 research_development
## 508         no  29     travel_rarely       1176                sales
## 509         no  35     travel_rarely       1017 research_development
## 510         no  33 travel_frequently       1296 research_development
## 511         no  54     travel_rarely        397      human_resources
## 512         no  36     travel_rarely        913 research_development
## 513         no  27     travel_rarely       1115 research_development
## 514        yes  20     travel_rarely       1362 research_development
## 515        yes  33 travel_frequently       1076 research_development
## 516         no  35        non_travel        727 research_development
## 517         no  23     travel_rarely        885 research_development
## 518         no  25     travel_rarely        810                sales
## 519         no  38     travel_rarely        243                sales
## 520         no  29 travel_frequently        806 research_development
## 521         no  48     travel_rarely        817                sales
## 522         no  27 travel_frequently       1410                sales
## 523         no  37     travel_rarely       1225 research_development
## 524         no  50     travel_rarely       1207 research_development
## 525         no  34     travel_rarely       1442 research_development
## 526        yes  24     travel_rarely        693                sales
## 527         no  39     travel_rarely        408 research_development
## 528         no  32     travel_rarely        929                sales
## 529        yes  50 travel_frequently        562                sales
## 530         no  38     travel_rarely        827 research_development
## 531         no  27     travel_rarely        608 research_development
## 532         no  32     travel_rarely       1018 research_development
## 533         no  47     travel_rarely        703                sales
## 534         no  40 travel_frequently        580                sales
## 535         no  53     travel_rarely        970 research_development
## 536         no  41     travel_rarely        427      human_resources
## 537         no  60     travel_rarely       1179                sales
## 538         no  27 travel_frequently        294 research_development
## 539         no  41     travel_rarely        314      human_resources
## 540         no  50     travel_rarely        316                sales
## 541        yes  28     travel_rarely        654 research_development
## 542         no  36        non_travel        427 research_development
## 543         no  38     travel_rarely        168 research_development
## 544         no  44        non_travel        381 research_development
## 545         no  47 travel_frequently        217                sales
## 546         no  30     travel_rarely        501                sales
## 547         no  29     travel_rarely       1396                sales
## 548        yes  42 travel_frequently        933 research_development
## 549         no  43 travel_frequently        775                sales
## 550         no  34     travel_rarely        970 research_development
## 551         no  23     travel_rarely        650 research_development
## 552         no  39     travel_rarely        141      human_resources
## 553         no  56     travel_rarely        832 research_development
## 554         no  40     travel_rarely        804 research_development
## 555         no  27     travel_rarely        975 research_development
## 556         no  29     travel_rarely       1090                sales
## 557         no  53     travel_rarely        346 research_development
## 558         no  35        non_travel       1225 research_development
## 559         no  32 travel_frequently        430 research_development
## 560         no  38     travel_rarely        268 research_development
## 561         no  34     travel_rarely        167 research_development
## 562         no  52     travel_rarely        621                sales
## 563        yes  33     travel_rarely        527 research_development
## 564         no  25     travel_rarely        883                sales
## 565         no  45     travel_rarely        954                sales
## 566         no  23     travel_rarely        310 research_development
## 567        yes  47 travel_frequently        719                sales
## 568         no  34     travel_rarely        304                sales
## 569        yes  55     travel_rarely        725 research_development
## 570         no  36        non_travel       1434                sales
## 571         no  52        non_travel        715 research_development
## 572         no  26 travel_frequently        575 research_development
## 573         no  29     travel_rarely        657 research_development
## 574        yes  26     travel_rarely       1146                sales
## 575         no  34     travel_rarely        182 research_development
## 576         no  54     travel_rarely        376 research_development
## 577         no  27 travel_frequently        829                sales
## 578         no  37     travel_rarely        571 research_development
## 579         no  38 travel_frequently        240 research_development
## 580         no  34     travel_rarely        121 research_development
## 581         no  35     travel_rarely        384                sales
## 582         no  30     travel_rarely        921 research_development
## 583         no  40 travel_frequently        791 research_development
## 584         no  34     travel_rarely       1111                sales
## 585         no  42 travel_frequently        570 research_development
## 586        yes  23     travel_rarely       1243 research_development
## 587         no  24        non_travel       1092 research_development
## 588         no  52     travel_rarely       1325 research_development
## 589         no  50     travel_rarely        691 research_development
## 590        yes  29     travel_rarely        805 research_development
## 591         no  33     travel_rarely        213 research_development
## 592        yes  33     travel_rarely        118                sales
## 593         no  47     travel_rarely        202 research_development
## 594         no  36     travel_rarely        676 research_development
## 595         no  29     travel_rarely       1252 research_development
## 596        yes  58     travel_rarely        286 research_development
## 597         no  35     travel_rarely       1258 research_development
## 598         no  42     travel_rarely        932 research_development
## 599        yes  28     travel_rarely        890 research_development
## 600         no  36     travel_rarely       1041      human_resources
## 601         no  32     travel_rarely        859 research_development
## 602         no  40 travel_frequently        720 research_development
## 603         no  30     travel_rarely        946 research_development
## 604         no  45     travel_rarely        252 research_development
## 605         no  42     travel_rarely        933 research_development
## 606         no  38 travel_frequently        471 research_development
## 607         no  34 travel_frequently        702 research_development
## 608        yes  49     travel_rarely       1184                sales
## 609        yes  55     travel_rarely        436                sales
## 610         no  43     travel_rarely        589 research_development
## 611         no  27     travel_rarely        269 research_development
## 612         no  35     travel_rarely        950 research_development
## 613         no  28     travel_rarely        760                sales
## 614         no  34     travel_rarely        829      human_resources
## 615        yes  26 travel_frequently        887 research_development
## 616         no  27        non_travel        443 research_development
## 617         no  51     travel_rarely       1318                sales
## 618         no  44     travel_rarely        625 research_development
## 619         no  25     travel_rarely        180 research_development
## 620         no  33     travel_rarely        586                sales
## 621         no  35     travel_rarely       1343 research_development
## 622         no  36     travel_rarely        928                sales
## 623         no  32     travel_rarely        117                sales
## 624         no  30 travel_frequently       1012 research_development
## 625         no  53     travel_rarely        661                sales
## 626         no  45     travel_rarely        930                sales
## 627         no  32     travel_rarely        638 research_development
## 628         no  52 travel_frequently        890 research_development
## 629         no  37     travel_rarely        342                sales
## 630         no  28     travel_rarely       1169      human_resources
## 631         no  22     travel_rarely       1230 research_development
## 632         no  44     travel_rarely        986 research_development
## 633         no  42 travel_frequently       1271 research_development
## 634         no  36     travel_rarely       1278      human_resources
## 635         no  25     travel_rarely        141                sales
## 636         no  35     travel_rarely        607 research_development
## 637        yes  35 travel_frequently        130 research_development
## 638         no  32        non_travel        300 research_development
## 639         no  25     travel_rarely        583                sales
## 640         no  49     travel_rarely       1418 research_development
## 641         no  24        non_travel       1269 research_development
## 642         no  32 travel_frequently        379                sales
## 643         no  38     travel_rarely        395                sales
## 644         no  42     travel_rarely       1265 research_development
## 645         no  31     travel_rarely       1222 research_development
## 646        yes  29     travel_rarely        341                sales
## 647         no  53     travel_rarely        868                sales
## 648         no  35     travel_rarely        672 research_development
## 649         no  37 travel_frequently       1231                sales
## 650         no  53     travel_rarely        102 research_development
## 651         no  43 travel_frequently        422 research_development
## 652         no  47     travel_rarely        249                sales
## 653         no  37        non_travel       1252                sales
## 654         no  50        non_travel        881 research_development
## 655         no  39     travel_rarely       1383      human_resources
## 656         no  33     travel_rarely       1075      human_resources
## 657        yes  32     travel_rarely        374 research_development
## 658         no  29     travel_rarely       1086 research_development
## 659         no  44     travel_rarely        661 research_development
## 660         no  28     travel_rarely        821                sales
## 661        yes  58 travel_frequently        781 research_development
## 662         no  43     travel_rarely        177 research_development
## 663        yes  20     travel_rarely        500                sales
## 664        yes  21     travel_rarely       1427 research_development
## 665         no  36     travel_rarely       1425 research_development
## 666         no  47     travel_rarely       1454                sales
## 667        yes  22     travel_rarely        617 research_development
## 668        yes  41     travel_rarely       1085 research_development
## 669         no  28     travel_rarely        995 research_development
## 670        yes  39     travel_rarely       1122 research_development
## 671         no  27     travel_rarely        618 research_development
## 672         no  34     travel_rarely        546 research_development
## 673         no  42     travel_rarely        462                sales
## 674         no  33     travel_rarely       1198 research_development
## 675         no  58     travel_rarely       1272 research_development
## 676         no  31     travel_rarely        154                sales
## 677         no  35     travel_rarely       1137 research_development
## 678         no  49     travel_rarely        527 research_development
## 679         no  48     travel_rarely       1469 research_development
## 680         no  31        non_travel       1188                sales
## 681         no  36     travel_rarely        188 research_development
## 682         no  38     travel_rarely       1333 research_development
## 683         no  32        non_travel       1184 research_development
## 684        yes  25     travel_rarely        867                sales
## 685         no  40     travel_rarely        658                sales
## 686         no  26 travel_frequently       1283                sales
## 687         no  41     travel_rarely        263 research_development
## 688         no  36     travel_rarely        938 research_development
## 689        yes  19     travel_rarely        419                sales
## 690        yes  20     travel_rarely        129 research_development
## 691         no  31     travel_rarely        616 research_development
## 692         no  40 travel_frequently       1469 research_development
## 693         no  32     travel_rarely        498 research_development
## 694        yes  36     travel_rarely        530                sales
## 695         no  33     travel_rarely       1069 research_development
## 696        yes  37     travel_rarely        625                sales
## 697         no  45        non_travel        805 research_development
## 698         no  29 travel_frequently       1404                sales
## 699         no  35     travel_rarely       1219                sales
## 700         no  52     travel_rarely       1053 research_development
## 701        yes  58     travel_rarely        289 research_development
## 702         no  53     travel_rarely       1376                sales
## 703         no  30     travel_rarely        231                sales
## 704         no  38        non_travel        152                sales
## 705         no  35     travel_rarely        882                sales
## 706         no  39     travel_rarely        903                sales
## 707        yes  40        non_travel       1479                sales
## 708         no  47 travel_frequently       1379 research_development
## 709         no  36        non_travel       1229                sales
## 710        yes  31        non_travel        335 research_development
## 711         no  33        non_travel        722                sales
## 712        yes  29     travel_rarely        906 research_development
## 713         no  33     travel_rarely        461 research_development
## 714         no  45     travel_rarely        974 research_development
## 715         no  50     travel_rarely       1126 research_development
## 716         no  33 travel_frequently        827 research_development
## 717         no  41 travel_frequently        840 research_development
## 718         no  27     travel_rarely       1134 research_development
## 719         no  45        non_travel        248 research_development
## 720         no  47     travel_rarely        955                sales
## 721        yes  30     travel_rarely        138 research_development
## 722         no  50     travel_rarely        939 research_development
## 723         no  38 travel_frequently       1391 research_development
## 724         no  46     travel_rarely        566 research_development
## 725         no  24     travel_rarely       1206 research_development
## 726        yes  35     travel_rarely        622 research_development
## 727         no  31 travel_frequently        853 research_development
## 728         no  18        non_travel        287 research_development
## 729         no  54     travel_rarely       1441 research_development
## 730         no  35     travel_rarely        583 research_development
## 731         no  30     travel_rarely        153 research_development
## 732        yes  20     travel_rarely       1097 research_development
## 733        yes  30 travel_frequently        109 research_development
## 734         no  26     travel_rarely       1066 research_development
## 735         no  22     travel_rarely        217 research_development
## 736         no  48     travel_rarely        277 research_development
## 737         no  48     travel_rarely       1355 research_development
## 738         no  41     travel_rarely        549 research_development
## 739         no  39     travel_rarely        466 research_development
## 740         no  27     travel_rarely       1055 research_development
## 741         no  35     travel_rarely        802 research_development
## 742         no  42     travel_rarely        265                sales
## 743         no  50     travel_rarely        804 research_development
## 744         no  59     travel_rarely        715 research_development
## 745        yes  37     travel_rarely       1141 research_development
## 746         no  55 travel_frequently        135 research_development
## 747         no  41        non_travel        247 research_development
## 748         no  38     travel_rarely       1035                sales
## 749        yes  26        non_travel        265                sales
## 750        yes  52     travel_rarely        266                sales
## 751         no  44     travel_rarely       1448                sales
## 752         no  50        non_travel        145                sales
## 753        yes  36     travel_rarely        885 research_development
## 754         no  39 travel_frequently        945 research_development
## 755         no  33        non_travel       1038                sales
## 756         no  45     travel_rarely       1234                sales
## 757         no  32        non_travel       1109 research_development
## 758         no  34     travel_rarely        216                sales
## 759         no  59     travel_rarely       1089                sales
## 760         no  45     travel_rarely        788      human_resources
## 761         no  53 travel_frequently        124                sales
## 762        yes  36     travel_rarely        660 research_development
## 763        yes  26 travel_frequently        342 research_development
## 764         no  34     travel_rarely       1333                sales
## 765         no  28     travel_rarely       1144                sales
## 766         no  38 travel_frequently       1186 research_development
## 767         no  50     travel_rarely       1464 research_development
## 768         no  37     travel_rarely        124 research_development
## 769         no  40     travel_rarely        300                sales
## 770         no  26 travel_frequently        921 research_development
## 771         no  46     travel_rarely        430 research_development
## 772         no  54     travel_rarely       1082                sales
## 773         no  56 travel_frequently       1240 research_development
## 774         no  36     travel_rarely        796 research_development
## 775         no  55        non_travel        444 research_development
## 776         no  43     travel_rarely        415                sales
## 777        yes  20 travel_frequently        769                sales
## 778        yes  21     travel_rarely       1334 research_development
## 779         no  46     travel_rarely       1003 research_development
## 780        yes  51     travel_rarely       1323 research_development
## 781        yes  28        non_travel       1366 research_development
## 782         no  26     travel_rarely        192 research_development
## 783         no  30     travel_rarely       1176 research_development
## 784         no  41     travel_rarely        509 research_development
## 785         no  38     travel_rarely        330 research_development
## 786         no  40     travel_rarely       1492 research_development
## 787         no  27        non_travel       1277 research_development
## 788         no  55 travel_frequently       1091 research_development
## 789         no  28     travel_rarely        857 research_development
## 790        yes  44     travel_rarely       1376      human_resources
## 791         no  33     travel_rarely        654 research_development
## 792        yes  35     travel_rarely       1204                sales
## 793        yes  33 travel_frequently        827 research_development
## 794         no  28     travel_rarely        895 research_development
## 795         no  34 travel_frequently        618 research_development
## 796         no  37     travel_rarely        309                sales
## 797        yes  25     travel_rarely       1219 research_development
## 798        yes  26     travel_rarely       1330 research_development
## 799        yes  33     travel_rarely       1017 research_development
## 800         no  42     travel_rarely        469 research_development
## 801        yes  28 travel_frequently       1009 research_development
## 802        yes  50 travel_frequently        959                sales
## 803         no  33 travel_frequently        970                sales
## 804         no  34        non_travel        697 research_development
## 805         no  48        non_travel       1262 research_development
## 806         no  45        non_travel       1050                sales
## 807         no  52     travel_rarely        994 research_development
## 808         no  38     travel_rarely        770                sales
## 809         no  29     travel_rarely       1107 research_development
## 810         no  28     travel_rarely        950 research_development
## 811         no  46     travel_rarely        406                sales
## 812         no  38     travel_rarely        130                sales
## 813         no  43 travel_frequently       1082 research_development
## 814        yes  39 travel_frequently        203 research_development
## 815         no  40     travel_rarely       1308 research_development
## 816         no  21     travel_rarely        984 research_development
## 817         no  39        non_travel        439 research_development
## 818         no  36        non_travel        217 research_development
## 819         no  31 travel_frequently        793                sales
## 820         no  28     travel_rarely       1451 research_development
## 821         no  35 travel_frequently       1182                sales
## 822         no  49     travel_rarely        174                sales
## 823         no  34 travel_frequently       1003 research_development
## 824         no  29 travel_frequently        490 research_development
## 825         no  42     travel_rarely        188 research_development
## 826         no  29     travel_rarely        718 research_development
## 827         no  38     travel_rarely        433      human_resources
## 828         no  28 travel_frequently        773 research_development
## 829        yes  18        non_travel        247 research_development
## 830        yes  33     travel_rarely        603                sales
## 831         no  41     travel_rarely        167 research_development
## 832        yes  31 travel_frequently        874 research_development
## 833         no  37     travel_rarely        367 research_development
## 834         no  27     travel_rarely        199 research_development
## 835         no  34     travel_rarely       1400                sales
## 836         no  35     travel_rarely        528      human_resources
## 837        yes  29     travel_rarely        408                sales
## 838         no  40 travel_frequently        593 research_development
## 839        yes  42 travel_frequently        481                sales
## 840         no  42     travel_rarely        647                sales
## 841         no  35     travel_rarely        982 research_development
## 842         no  24     travel_rarely        477 research_development
## 843        yes  28     travel_rarely       1485 research_development
## 844         no  26     travel_rarely       1384 research_development
## 845         no  30     travel_rarely        852                sales
## 846         no  40 travel_frequently        902 research_development
## 847         no  35     travel_rarely        819 research_development
## 848         no  34 travel_frequently        669 research_development
## 849         no  35 travel_frequently        636 research_development
## 850        yes  43     travel_rarely       1372                sales
## 851         no  32        non_travel        862                sales
## 852         no  56     travel_rarely        718 research_development
## 853         no  29     travel_rarely       1401 research_development
## 854         no  19     travel_rarely        645 research_development
## 855         no  45     travel_rarely       1457 research_development
## 856         no  37     travel_rarely        977 research_development
## 857         no  20     travel_rarely        805 research_development
## 858        yes  44     travel_rarely       1097 research_development
## 859         no  53     travel_rarely       1223 research_development
## 860         no  29     travel_rarely        942 research_development
## 861        yes  22 travel_frequently       1256 research_development
## 862         no  46     travel_rarely       1402                sales
## 863         no  44        non_travel        111 research_development
## 864         no  33     travel_rarely        147      human_resources
## 865        yes  41        non_travel        906 research_development
## 866         no  30     travel_rarely       1329                sales
## 867         no  40 travel_frequently       1184                sales
## 868         no  50 travel_frequently       1421 research_development
## 869         no  28     travel_rarely       1179 research_development
## 870         no  46     travel_rarely       1450 research_development
## 871         no  35     travel_rarely       1361                sales
## 872        yes  24     travel_rarely        984 research_development
## 873         no  33 travel_frequently       1146                sales
## 874         no  36     travel_rarely        917 research_development
## 875         no  30     travel_rarely        853 research_development
## 876         no  44     travel_rarely        200 research_development
## 877         no  20     travel_rarely        654                sales
## 878         no  46     travel_rarely        150 research_development
## 879         no  42        non_travel        179      human_resources
## 880         no  60     travel_rarely        696                sales
## 881         no  32 travel_frequently        116 research_development
## 882         no  32 travel_frequently       1316 research_development
## 883         no  36     travel_rarely        363 research_development
## 884         no  33     travel_rarely        117 research_development
## 885         no  40     travel_rarely        107                sales
## 886         no  25     travel_rarely       1356                sales
## 887         no  30     travel_rarely       1465 research_development
## 888         no  42 travel_frequently        458 research_development
## 889         no  35        non_travel       1212                sales
## 890         no  27     travel_rarely       1103 research_development
## 891         no  54 travel_frequently        966 research_development
## 892         no  44     travel_rarely       1117 research_development
## 893        yes  19        non_travel        504 research_development
## 894         no  29     travel_rarely       1010 research_development
## 895         no  54     travel_rarely        685 research_development
## 896         no  31     travel_rarely       1332 research_development
## 897         no  31     travel_rarely       1062 research_development
## 898         no  59     travel_rarely        326                sales
## 899         no  43     travel_rarely        920 research_development
## 900         no  49     travel_rarely       1098 research_development
## 901         no  36 travel_frequently        469 research_development
## 902         no  48     travel_rarely        969 research_development
## 903         no  27     travel_rarely       1167 research_development
## 904         no  29     travel_rarely       1329 research_development
## 905         no  48     travel_rarely        715 research_development
## 906         no  29     travel_rarely        694 research_development
## 907         no  34     travel_rarely       1320 research_development
## 908         no  44     travel_rarely       1099                sales
## 909         no  33     travel_rarely        536                sales
## 910         no  19     travel_rarely        265 research_development
## 911         no  23     travel_rarely        373 research_development
## 912        yes  25 travel_frequently        599                sales
## 913         no  26     travel_rarely        583 research_development
## 914        yes  45     travel_rarely       1449                sales
## 915         no  55        non_travel        177 research_development
## 916        yes  21 travel_frequently        251 research_development
## 917         no  46     travel_rarely        168                sales
## 918         no  34     travel_rarely        131                sales
## 919         no  51 travel_frequently        237                sales
## 920         no  59     travel_rarely       1429 research_development
## 921         no  34 travel_frequently        135 research_development
## 922         no  28 travel_frequently        791 research_development
## 923         no  44     travel_rarely       1199 research_development
## 924         no  34 travel_frequently        648      human_resources
## 925         no  35     travel_rarely        735 research_development
## 926         no  42     travel_rarely        603 research_development
## 927         no  43     travel_rarely        531                sales
## 928         no  36     travel_rarely        429 research_development
## 929        yes  44     travel_rarely        621 research_development
## 930         no  28 travel_frequently        193 research_development
## 931         no  51 travel_frequently        968 research_development
## 932         no  30        non_travel        879 research_development
## 933        yes  29     travel_rarely        806 research_development
## 934         no  28     travel_rarely        640 research_development
## 935         no  25     travel_rarely        266 research_development
## 936         no  32     travel_rarely        604                sales
## 937         no  45 travel_frequently        364 research_development
## 938         no  39     travel_rarely        412 research_development
## 939         no  58     travel_rarely        848 research_development
## 940        yes  32     travel_rarely       1089 research_development
## 941        yes  39     travel_rarely        360 research_development
## 942         no  30     travel_rarely       1138 research_development
## 943         no  36     travel_rarely        325 research_development
## 944         no  46     travel_rarely        991      human_resources
## 945         no  28        non_travel       1476 research_development
## 946         no  50     travel_rarely       1322 research_development
## 947        yes  40     travel_rarely        299                sales
## 948        yes  52     travel_rarely       1030                sales
## 949         no  30     travel_rarely        634 research_development
## 950         no  39     travel_rarely        524 research_development
## 951         no  31        non_travel        587                sales
## 952         no  41        non_travel        256                sales
## 953        yes  31 travel_frequently       1060                sales
## 954        yes  44     travel_rarely        935 research_development
## 955         no  42        non_travel        495 research_development
## 956         no  55     travel_rarely        282 research_development
## 957         no  56     travel_rarely        206      human_resources
## 958         no  40        non_travel        458 research_development
## 959         no  34     travel_rarely        943 research_development
## 960         no  40     travel_rarely        523 research_development
## 961         no  41 travel_frequently       1018                sales
## 962         no  35 travel_frequently        482 research_development
## 963         no  51     travel_rarely        770      human_resources
## 964         no  38     travel_rarely       1009                sales
## 965         no  34     travel_rarely        507                sales
## 966         no  25     travel_rarely        882 research_development
## 967        yes  58     travel_rarely        601 research_development
## 968         no  40     travel_rarely        329 research_development
## 969         no  36 travel_frequently        607                sales
## 970         no  48     travel_rarely        855 research_development
## 971         no  27     travel_rarely       1291                sales
## 972         no  51     travel_rarely       1405 research_development
## 973         no  18        non_travel       1124 research_development
## 974         no  35     travel_rarely        817 research_development
## 975         no  27 travel_frequently        793                sales
## 976        yes  55     travel_rarely        267                sales
## 977         no  56     travel_rarely       1369 research_development
## 978         no  34        non_travel        999 research_development
## 979         no  40     travel_rarely       1202 research_development
## 980         no  34     travel_rarely        285 research_development
## 981        yes  31 travel_frequently        703                sales
## 982        yes  35 travel_frequently        662                sales
## 983         no  38 travel_frequently        693 research_development
## 984         no  34     travel_rarely        404 research_development
## 985         no  28     travel_rarely        736                sales
## 986        yes  31     travel_rarely        330 research_development
## 987         no  39     travel_rarely       1498                sales
## 988         no  51 travel_frequently        541                sales
## 989         no  41 travel_frequently       1200 research_development
## 990         no  37     travel_rarely       1439 research_development
## 991         no  33 travel_frequently       1111                sales
## 992         no  32     travel_rarely        499                sales
## 993         no  39        non_travel       1485 research_development
## 994         no  25     travel_rarely       1372                sales
## 995         no  52 travel_frequently        322 research_development
## 996         no  43     travel_rarely        930 research_development
## 997         no  27     travel_rarely        205                sales
## 998        yes  27     travel_rarely        135 research_development
## 999         no  26     travel_rarely        683 research_development
## 1000        no  42     travel_rarely       1147      human_resources
## 1001        no  52     travel_rarely        258 research_development
## 1002        no  37     travel_rarely       1462 research_development
## 1003        no  35 travel_frequently        200 research_development
## 1004        no  25     travel_rarely        949 research_development
## 1005        no  26     travel_rarely        652 research_development
## 1006        no  29     travel_rarely        332      human_resources
## 1007       yes  49 travel_frequently       1475 research_development
## 1008       yes  29 travel_frequently        337 research_development
## 1009        no  54     travel_rarely        971 research_development
## 1010        no  58     travel_rarely       1055 research_development
## 1011        no  55     travel_rarely       1136 research_development
## 1012        no  36     travel_rarely       1174                sales
## 1013       yes  31 travel_frequently        667                sales
## 1014        no  30     travel_rarely        855                sales
## 1015        no  31     travel_rarely        182 research_development
## 1016        no  34 travel_frequently        560 research_development
## 1017       yes  31     travel_rarely        202 research_development
## 1018        no  27     travel_rarely       1377 research_development
## 1019        no  36     travel_rarely        172 research_development
## 1020        no  36     travel_rarely        329                sales
## 1021        no  47     travel_rarely        465 research_development
## 1022       yes  25     travel_rarely        383                sales
## 1023        no  37        non_travel       1413 research_development
## 1024        no  56     travel_rarely       1255 research_development
## 1025        no  47     travel_rarely        359 research_development
## 1026        no  24     travel_rarely       1476                sales
## 1027        no  32     travel_rarely        601                sales
## 1028        no  34     travel_rarely        401 research_development
## 1029        no  41     travel_rarely       1283 research_development
## 1030        no  40        non_travel        663 research_development
## 1031        no  31     travel_rarely        326                sales
## 1032       yes  46     travel_rarely        377                sales
## 1033       yes  39        non_travel        592 research_development
## 1034       yes  31 travel_frequently       1445 research_development
## 1035        no  45     travel_rarely       1038 research_development
## 1036        no  31     travel_rarely       1398      human_resources
## 1037       yes  31 travel_frequently        523 research_development
## 1038        no  45     travel_rarely       1448 research_development
## 1039        no  48     travel_rarely       1221                sales
## 1040       yes  34     travel_rarely       1107      human_resources
## 1041        no  40        non_travel        218 research_development
## 1042        no  28     travel_rarely        866                sales
## 1043        no  44        non_travel        981 research_development
## 1044        no  53     travel_rarely        447 research_development
## 1045        no  49     travel_rarely       1495 research_development
## 1046        no  40     travel_rarely        896 research_development
## 1047        no  44     travel_rarely       1467 research_development
## 1048        no  33 travel_frequently        430                sales
## 1049        no  34     travel_rarely       1326                sales
## 1050        no  30     travel_rarely       1358                sales
## 1051        no  42 travel_frequently        748 research_development
## 1052        no  44 travel_frequently        383                sales
## 1053        no  30        non_travel        990 research_development
## 1054        no  57     travel_rarely        405 research_development
## 1055        no  49     travel_rarely       1490 research_development
## 1056        no  34 travel_frequently        829 research_development
## 1057       yes  28 travel_frequently       1496                sales
## 1058       yes  29 travel_frequently        115                sales
## 1059       yes  34     travel_rarely        790                sales
## 1060        no  35     travel_rarely        660                sales
## 1061       yes  24 travel_frequently        381 research_development
## 1062        no  24        non_travel        830                sales
## 1063        no  44 travel_frequently       1193 research_development
## 1064        no  29     travel_rarely       1246                sales
## 1065        no  30     travel_rarely        330      human_resources
## 1066        no  55     travel_rarely       1229 research_development
## 1067        no  33     travel_rarely       1099 research_development
## 1068        no  47     travel_rarely        571                sales
## 1069       yes  28 travel_frequently        289 research_development
## 1070        no  28     travel_rarely       1423 research_development
## 1071        no  28 travel_frequently        467                sales
## 1072        no  49     travel_rarely        271 research_development
## 1073        no  29 travel_frequently        410 research_development
## 1074        no  28     travel_rarely       1083 research_development
## 1075        no  33     travel_rarely        516 research_development
## 1076        no  32     travel_rarely        495 research_development
## 1077        no  54 travel_frequently       1050 research_development
## 1078       yes  29     travel_rarely        224 research_development
## 1079        no  44     travel_rarely        136 research_development
## 1080        no  39     travel_rarely       1089 research_development
## 1081        no  46     travel_rarely        228                sales
## 1082        no  35     travel_rarely       1029 research_development
## 1083        no  23     travel_rarely        507 research_development
## 1084       yes  40     travel_rarely        676 research_development
## 1085        no  34     travel_rarely        971                sales
## 1086       yes  31 travel_frequently        561 research_development
## 1087        no  50 travel_frequently        333 research_development
## 1088        no  34     travel_rarely       1440                sales
## 1089        no  42     travel_rarely       1210 research_development
## 1090        no  37     travel_rarely        674 research_development
## 1091        no  29     travel_rarely        441 research_development
## 1092        no  33     travel_rarely        575 research_development
## 1093        no  45     travel_rarely        950 research_development
## 1094        no  42 travel_frequently        288 research_development
## 1095        no  40     travel_rarely       1342                sales
## 1096        no  33     travel_rarely        589 research_development
## 1097        no  40     travel_rarely        898      human_resources
## 1098        no  24     travel_rarely        350 research_development
## 1099        no  40        non_travel       1142 research_development
## 1100        no  45     travel_rarely        538 research_development
## 1101        no  35     travel_rarely       1402                sales
## 1102        no  32     travel_rarely        824 research_development
## 1103        no  36     travel_rarely       1157                sales
## 1104        no  48     travel_rarely        492                sales
## 1105        no  29     travel_rarely        598 research_development
## 1106        no  33     travel_rarely       1242                sales
## 1107       yes  30     travel_rarely        740                sales
## 1108        no  38 travel_frequently        888      human_resources
## 1109        no  35     travel_rarely        992 research_development
## 1110        no  30     travel_rarely       1288                sales
## 1111       yes  35     travel_rarely        104 research_development
## 1112       yes  53     travel_rarely        607 research_development
## 1113       yes  38     travel_rarely        903 research_development
## 1114        no  32        non_travel       1200 research_development
## 1115        no  48     travel_rarely       1108 research_development
## 1116        no  34     travel_rarely        479 research_development
## 1117        no  55     travel_rarely        685                sales
## 1118        no  34     travel_rarely       1351 research_development
## 1119        no  26     travel_rarely        474 research_development
## 1120        no  38     travel_rarely       1245                sales
## 1121        no  38     travel_rarely        437                sales
## 1122        no  36     travel_rarely        884                sales
## 1123        no  29     travel_rarely       1370 research_development
## 1124        no  35     travel_rarely        670 research_development
## 1125        no  39     travel_rarely       1462                sales
## 1126        no  29 travel_frequently        995 research_development
## 1127        no  50     travel_rarely        264                sales
## 1128        no  23     travel_rarely        977 research_development
## 1129        no  36 travel_frequently       1302 research_development
## 1130        no  42     travel_rarely       1059 research_development
## 1131        no  35     travel_rarely        750 research_development
## 1132        no  34 travel_frequently        653 research_development
## 1133        no  40     travel_rarely        118                sales
## 1134        no  43     travel_rarely        990 research_development
## 1135        no  35     travel_rarely       1349 research_development
## 1136        no  46     travel_rarely        563                sales
## 1137       yes  28     travel_rarely        329 research_development
## 1138        no  22        non_travel        457 research_development
## 1139        no  50 travel_frequently       1234 research_development
## 1140        no  32     travel_rarely        634 research_development
## 1141        no  44     travel_rarely       1313 research_development
## 1142        no  30     travel_rarely        241 research_development
## 1143        no  45     travel_rarely       1015 research_development
## 1144        no  45        non_travel        336                sales
## 1145        no  31 travel_frequently        715                sales
## 1146        no  36     travel_rarely        559 research_development
## 1147        no  34 travel_frequently        426 research_development
## 1148        no  49     travel_rarely        722 research_development
## 1149        no  39     travel_rarely       1387 research_development
## 1150        no  27     travel_rarely       1302 research_development
## 1151        no  35     travel_rarely        819 research_development
## 1152        no  28     travel_rarely        580 research_development
## 1153        no  21     travel_rarely        546 research_development
## 1154       yes  18 travel_frequently        544                sales
## 1155        no  47     travel_rarely       1176      human_resources
## 1156        no  39     travel_rarely        170 research_development
## 1157        no  40     travel_rarely        884 research_development
## 1158        no  35        non_travel        208 research_development
## 1159        no  37     travel_rarely        671 research_development
## 1160        no  39 travel_frequently        711 research_development
## 1161        no  45     travel_rarely       1329 research_development
## 1162        no  38     travel_rarely        397 research_development
## 1163       yes  35     travel_rarely        737                sales
## 1164        no  37     travel_rarely       1470 research_development
## 1165        no  40     travel_rarely        448 research_development
## 1166        no  44 travel_frequently        602      human_resources
## 1167        no  48 travel_frequently        365 research_development
## 1168       yes  35     travel_rarely        763                sales
## 1169        no  24 travel_frequently        567 research_development
## 1170        no  27     travel_rarely        486 research_development
## 1171        no  27 travel_frequently        591 research_development
## 1172       yes  40     travel_rarely       1329 research_development
## 1173        no  29     travel_rarely        469                sales
## 1174        no  36     travel_rarely        711 research_development
## 1175        no  25 travel_frequently        772 research_development
## 1176        no  39     travel_rarely        492 research_development
## 1177        no  49     travel_rarely        301 research_development
## 1178        no  50     travel_rarely        813 research_development
## 1179        no  20     travel_rarely       1141                sales
## 1180        no  34     travel_rarely       1130 research_development
## 1181        no  36     travel_rarely        311 research_development
## 1182        no  49     travel_rarely        465 research_development
## 1183        no  36        non_travel        894 research_development
## 1184        no  36     travel_rarely       1040 research_development
## 1185        no  54     travel_rarely        584 research_development
## 1186        no  43     travel_rarely       1291 research_development
## 1187       yes  35 travel_frequently        880                sales
## 1188        no  38 travel_frequently       1189 research_development
## 1189        no  29     travel_rarely        991                sales
## 1190        no  33     travel_rarely        392                sales
## 1191        no  32     travel_rarely        977 research_development
## 1192        no  31     travel_rarely       1112                sales
## 1193        no  49     travel_rarely        464 research_development
## 1194        no  38 travel_frequently        148 research_development
## 1195        no  47     travel_rarely       1225                sales
## 1196        no  49     travel_rarely        809 research_development
## 1197        no  41     travel_rarely       1206                sales
## 1198        no  20     travel_rarely        727                sales
## 1199        no  33        non_travel        530                sales
## 1200        no  36     travel_rarely       1351 research_development
## 1201        no  44     travel_rarely        528      human_resources
## 1202       yes  23     travel_rarely       1320 research_development
## 1203        no  38     travel_rarely       1495 research_development
## 1204        no  53     travel_rarely       1395 research_development
## 1205       yes  48 travel_frequently        708                sales
## 1206       yes  32     travel_rarely       1259 research_development
## 1207        no  26        non_travel        786 research_development
## 1208        no  55     travel_rarely       1441 research_development
## 1209        no  34     travel_rarely       1157 research_development
## 1210        no  60     travel_rarely        370 research_development
## 1211        no  33     travel_rarely        267 research_development
## 1212        no  37 travel_frequently       1278                sales
## 1213        no  34     travel_rarely        678 research_development
## 1214       yes  23     travel_rarely        427                sales
## 1215        no  44     travel_rarely        921 research_development
## 1216        no  35 travel_frequently        146 research_development
## 1217        no  43     travel_rarely       1179                sales
## 1218        no  24     travel_rarely        581 research_development
## 1219        no  41     travel_rarely        918                sales
## 1220        no  29     travel_rarely       1082 research_development
## 1221        no  36     travel_rarely        530                sales
## 1222        no  45        non_travel       1238 research_development
## 1223       yes  24     travel_rarely        240      human_resources
## 1224       yes  47 travel_frequently       1093                sales
## 1225        no  26     travel_rarely        390 research_development
## 1226        no  45     travel_rarely       1005 research_development
## 1227        no  32 travel_frequently        585 research_development
## 1228        no  31     travel_rarely        741 research_development
## 1229        no  41        non_travel        552      human_resources
## 1230        no  40     travel_rarely        369 research_development
## 1231        no  24     travel_rarely        506 research_development
## 1232        no  46     travel_rarely        717 research_development
## 1233        no  35     travel_rarely       1370 research_development
## 1234        no  30     travel_rarely        793 research_development
## 1235        no  47        non_travel        543                sales
## 1236        no  46     travel_rarely       1277                sales
## 1237       yes  36     travel_rarely       1456                sales
## 1238       yes  32     travel_rarely        964                sales
## 1239        no  23     travel_rarely        160 research_development
## 1240        no  31 travel_frequently        163 research_development
## 1241        no  39        non_travel        792 research_development
## 1242        no  32     travel_rarely        371                sales
## 1243        no  40     travel_rarely        611                sales
## 1244        no  45     travel_rarely        176      human_resources
## 1245        no  30 travel_frequently       1312 research_development
## 1246        no  24 travel_frequently        897      human_resources
## 1247       yes  30 travel_frequently        600      human_resources
## 1248        no  31     travel_rarely       1003                sales
## 1249        no  27     travel_rarely       1054 research_development
## 1250       yes  29     travel_rarely        428                sales
## 1251        no  29 travel_frequently        461 research_development
## 1252        no  30     travel_rarely        979                sales
## 1253        no  34     travel_rarely        181 research_development
## 1254        no  33        non_travel       1283                sales
## 1255        no  49     travel_rarely       1313                sales
## 1256       yes  33     travel_rarely        211                sales
## 1257        no  38 travel_frequently        594 research_development
## 1258       yes  31     travel_rarely       1079                sales
## 1259        no  29     travel_rarely        590 research_development
## 1260        no  30     travel_rarely        305 research_development
## 1261        no  32        non_travel        953 research_development
## 1262        no  38     travel_rarely        833 research_development
## 1263       yes  43 travel_frequently        807 research_development
## 1264        no  42     travel_rarely        855 research_development
## 1265        no  55     travel_rarely        478 research_development
## 1266        no  33        non_travel        775 research_development
## 1267        no  41     travel_rarely        548 research_development
## 1268        no  34        non_travel       1375                sales
## 1269        no  53        non_travel        661 research_development
## 1270        no  43     travel_rarely        244      human_resources
## 1271        no  34     travel_rarely        511                sales
## 1272       yes  21     travel_rarely        337                sales
## 1273        no  38     travel_rarely       1153 research_development
## 1274       yes  22     travel_rarely       1294 research_development
## 1275        no  31     travel_rarely        196                sales
## 1276        no  51     travel_rarely        942 research_development
## 1277        no  37     travel_rarely        589                sales
## 1278        no  46     travel_rarely        734 research_development
## 1279        no  36     travel_rarely       1383 research_development
## 1280       yes  44 travel_frequently        429 research_development
## 1281        no  37     travel_rarely       1239      human_resources
## 1282       yes  35     travel_rarely        303                sales
## 1283        no  33     travel_rarely        867 research_development
## 1284        no  28     travel_rarely       1181 research_development
## 1285        no  39     travel_rarely       1253 research_development
## 1286        no  46        non_travel        849                sales
## 1287        no  40     travel_rarely        616 research_development
## 1288        no  42     travel_rarely       1128 research_development
## 1289        no  35        non_travel       1180 research_development
## 1290        no  38        non_travel       1336      human_resources
## 1291       yes  34 travel_frequently        234 research_development
## 1292       yes  37     travel_rarely        370 research_development
## 1293        no  39 travel_frequently        766                sales
## 1294        no  43        non_travel        343 research_development
## 1295        no  41     travel_rarely        447 research_development
## 1296        no  41     travel_rarely        796                sales
## 1297        no  30     travel_rarely       1092 research_development
## 1298       yes  26     travel_rarely        920      human_resources
## 1299       yes  46     travel_rarely        261 research_development
## 1300        no  40     travel_rarely       1194 research_development
## 1301        no  34     travel_rarely        810                sales
## 1302        no  58        non_travel        350                sales
## 1303        no  35     travel_rarely        185 research_development
## 1304        no  47     travel_rarely       1001 research_development
## 1305        no  40     travel_rarely        750 research_development
## 1306        no  54     travel_rarely        431 research_development
## 1307        no  31 travel_frequently       1125                sales
## 1308        no  28     travel_rarely       1217 research_development
## 1309        no  38     travel_rarely        723                sales
## 1310        no  26     travel_rarely        572                sales
## 1311        no  58 travel_frequently       1216 research_development
## 1312        no  18        non_travel       1431 research_development
## 1313       yes  31     travel_rarely        359      human_resources
## 1314       yes  29     travel_rarely        350      human_resources
## 1315        no  45        non_travel        589                sales
## 1316        no  36     travel_rarely        430 research_development
## 1317        no  43 travel_frequently       1422                sales
## 1318        no  27 travel_frequently       1297 research_development
## 1319        no  29 travel_frequently        574 research_development
## 1320        no  32 travel_frequently       1318                sales
## 1321        no  42        non_travel        355 research_development
## 1322        no  47     travel_rarely        207 research_development
## 1323        no  46     travel_rarely        706 research_development
## 1324        no  28        non_travel        280      human_resources
## 1325        no  29     travel_rarely        726 research_development
## 1326        no  42     travel_rarely       1142 research_development
## 1327       yes  32     travel_rarely        414                sales
## 1328        no  46     travel_rarely       1319                sales
## 1329        no  27     travel_rarely        728                sales
## 1330        no  29     travel_rarely        352      human_resources
## 1331        no  43     travel_rarely        823 research_development
## 1332        no  48     travel_rarely       1224 research_development
## 1333       yes  29 travel_frequently        459 research_development
## 1334       yes  46     travel_rarely       1254                sales
## 1335        no  27 travel_frequently       1131 research_development
## 1336        no  39     travel_rarely        835 research_development
## 1337        no  55     travel_rarely        836 research_development
## 1338        no  28     travel_rarely       1172                sales
## 1339       yes  30     travel_rarely        945                sales
## 1340       yes  22     travel_rarely        391 research_development
## 1341        no  36     travel_rarely       1266                sales
## 1342        no  31     travel_rarely        311 research_development
## 1343        no  34     travel_rarely       1480                sales
## 1344        no  29     travel_rarely        592 research_development
## 1345        no  37     travel_rarely        783 research_development
## 1346        no  35     travel_rarely        219 research_development
## 1347        no  45     travel_rarely        556 research_development
## 1348        no  36 travel_frequently       1213      human_resources
## 1349        no  40     travel_rarely       1137 research_development
## 1350        no  26     travel_rarely        482 research_development
## 1351        no  27     travel_rarely        511                sales
## 1352        no  48 travel_frequently        117 research_development
## 1353        no  44     travel_rarely        170 research_development
## 1354       yes  34        non_travel        967 research_development
## 1355       yes  56     travel_rarely       1162 research_development
## 1356        no  36     travel_rarely        335                sales
## 1357        no  41     travel_rarely        337                sales
## 1358        no  42     travel_rarely       1396 research_development
## 1359        no  31     travel_rarely       1079                sales
## 1360        no  34     travel_rarely        735                sales
## 1361        no  31     travel_rarely        471 research_development
## 1362        no  26 travel_frequently       1096 research_development
## 1363        no  45 travel_frequently       1297 research_development
## 1364        no  33     travel_rarely        217                sales
## 1365        no  28 travel_frequently        783                sales
## 1366       yes  29 travel_frequently        746                sales
## 1367        no  39        non_travel       1251                sales
## 1368        no  27     travel_rarely       1354 research_development
## 1369        no  34 travel_frequently        735 research_development
## 1370       yes  28     travel_rarely       1475                sales
## 1371        no  47        non_travel       1169 research_development
## 1372        no  56     travel_rarely       1443                sales
## 1373        no  39     travel_rarely        867 research_development
## 1374        no  38 travel_frequently       1394 research_development
## 1375        no  58     travel_rarely        605                sales
## 1376       yes  32 travel_frequently        238 research_development
## 1377        no  38     travel_rarely       1206 research_development
## 1378        no  49 travel_frequently       1064 research_development
## 1379        no  42     travel_rarely        419                sales
## 1380       yes  27 travel_frequently       1337      human_resources
## 1381        no  35     travel_rarely        682                sales
## 1382        no  28        non_travel       1103 research_development
## 1383        no  31        non_travel        976 research_development
## 1384        no  36        non_travel       1351 research_development
## 1385        no  34     travel_rarely        937                sales
## 1386        no  34     travel_rarely       1239                sales
## 1387        no  26     travel_rarely        157 research_development
## 1388        no  29     travel_rarely        136 research_development
## 1389        no  32        non_travel       1146 research_development
## 1390        no  31 travel_frequently       1125 research_development
## 1391       yes  28     travel_rarely       1404 research_development
## 1392        no  38     travel_rarely       1404                sales
## 1393        no  35     travel_rarely       1224                sales
## 1394        no  27     travel_rarely        954                sales
## 1395        no  32     travel_rarely       1373 research_development
## 1396       yes  31 travel_frequently        754                sales
## 1397       yes  53     travel_rarely       1168                sales
## 1398        no  54     travel_rarely        155 research_development
## 1399        no  33 travel_frequently       1303 research_development
## 1400        no  43     travel_rarely        574 research_development
## 1401        no  38 travel_frequently       1444      human_resources
## 1402        no  55     travel_rarely        189      human_resources
## 1403        no  31     travel_rarely       1276 research_development
## 1404        no  39     travel_rarely        119                sales
## 1405        no  42        non_travel        335 research_development
## 1406        no  31        non_travel        697 research_development
## 1407        no  54     travel_rarely        157 research_development
## 1408        no  24     travel_rarely        771 research_development
## 1409        no  23     travel_rarely        571 research_development
## 1410        no  40 travel_frequently        692 research_development
## 1411        no  40     travel_rarely        444                sales
## 1412        no  25     travel_rarely        309      human_resources
## 1413        no  30     travel_rarely        911 research_development
## 1414        no  25     travel_rarely        977 research_development
## 1415        no  47     travel_rarely       1180 research_development
## 1416        no  33        non_travel       1313 research_development
## 1417        no  38     travel_rarely       1321                sales
## 1418        no  31     travel_rarely       1154                sales
## 1419        no  38 travel_frequently        508 research_development
## 1420        no  42     travel_rarely        557 research_development
## 1421        no  41     travel_rarely        642 research_development
## 1422        no  47        non_travel       1162 research_development
## 1423        no  35     travel_rarely       1490 research_development
## 1424        no  22     travel_rarely        581 research_development
## 1425        no  35     travel_rarely       1395 research_development
## 1426        no  33     travel_rarely        501 research_development
## 1427        no  32     travel_rarely        267 research_development
## 1428        no  40     travel_rarely        543 research_development
## 1429        no  32     travel_rarely        234                sales
## 1430        no  39     travel_rarely        116 research_development
## 1431        no  38     travel_rarely        201 research_development
## 1432        no  32     travel_rarely        801                sales
## 1433        no  37     travel_rarely        161 research_development
## 1434        no  25     travel_rarely       1382                sales
## 1435        no  52        non_travel        585                sales
## 1436        no  44     travel_rarely       1037 research_development
## 1437        no  21     travel_rarely        501                sales
## 1438        no  39        non_travel        105 research_development
## 1439       yes  23 travel_frequently        638                sales
## 1440        no  36     travel_rarely        557                sales
## 1441        no  36 travel_frequently        688 research_development
## 1442        no  56        non_travel        667 research_development
## 1443       yes  29     travel_rarely       1092 research_development
## 1444        no  42     travel_rarely        300 research_development
## 1445       yes  56     travel_rarely        310 research_development
## 1446        no  41     travel_rarely        582 research_development
## 1447        no  34     travel_rarely        704                sales
## 1448        no  36        non_travel        301                sales
## 1449        no  41     travel_rarely        930                sales
## 1450        no  32     travel_rarely        529 research_development
## 1451        no  35     travel_rarely       1146      human_resources
## 1452        no  38     travel_rarely        345                sales
## 1453       yes  50 travel_frequently        878                sales
## 1454        no  36     travel_rarely       1120                sales
## 1455        no  45     travel_rarely        374                sales
## 1456        no  40     travel_rarely       1322 research_development
## 1457        no  35 travel_frequently       1199 research_development
## 1458        no  40     travel_rarely       1194 research_development
## 1459        no  35     travel_rarely        287 research_development
## 1460        no  29     travel_rarely       1378 research_development
## 1461        no  29     travel_rarely        468 research_development
## 1462       yes  50     travel_rarely        410                sales
## 1463        no  39     travel_rarely        722                sales
## 1464        no  31        non_travel        325 research_development
## 1465        no  26     travel_rarely       1167                sales
## 1466        no  36 travel_frequently        884 research_development
## 1467        no  39     travel_rarely        613 research_development
## 1468        no  27     travel_rarely        155 research_development
## 1469        no  49 travel_frequently       1023                sales
## 1470        no  34     travel_rarely        628 research_development
##      distance_from_home education  education_field employee_count
## 1                     1         2    life_sciences              1
## 2                     8         1    life_sciences              1
## 3                     2         2            other              1
## 4                     3         4    life_sciences              1
## 5                     2         1          medical              1
## 6                     2         2    life_sciences              1
## 7                     3         3          medical              1
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##      job_involvement job_level                  job_role job_satisfaction
## 1                  3         2           sales_executive                4
## 2                  2         2        research_scientist                2
## 3                  2         1     laboratory_technician                3
## 4                  3         1        research_scientist                3
## 5                  3         1     laboratory_technician                2
## 6                  3         1     laboratory_technician                4
## 7                  4         1     laboratory_technician                1
## 8                  3         1     laboratory_technician                3
## 9                  2         3    manufacturing_director                3
## 10                 3         2 healthcare_representative                3
## 11                 4         1     laboratory_technician                2
## 12                 2         2     laboratory_technician                3
## 13                 3         1        research_scientist                3
## 14                 3         1     laboratory_technician                4
## 15                 2         1     laboratory_technician                3
## 16                 4         3    manufacturing_director                1
## 17                 4         1        research_scientist                2
## 18                 4         1     laboratory_technician                4
## 19                 2         4                   manager                4
## 20                 3         1        research_scientist                4
## 21                 4         2    manufacturing_director                3
## 22                 2         1      sales_representative                1
## 23                 3         3         research_director                2
## 24                 3         1        research_scientist                4
## 25                 3         1        research_scientist                1
## 26                 3         5                   manager                3
## 27                 1         1        research_scientist                1
## 28                 3         2           sales_executive                2
## 29                 2         3 healthcare_representative                4
## 30                 3         5                   manager                1
## 31                 3         1     laboratory_technician                4
## 32                 3         2 healthcare_representative                4
## 33                 2         1     laboratory_technician                3
## 34                 3         2      sales_representative                4
## 35                 3         1        research_scientist                4
## 36                 4         1        research_scientist                3
## 37                 2         1      sales_representative                3
## 38                 3         1      sales_representative                4
## 39                 2         1        research_scientist                1
## 40                 4         2           sales_executive                1
## 41                 3         1     laboratory_technician                4
## 42                 3         1     laboratory_technician                1
## 43                 1         1     laboratory_technician                3
## 44                 3         3           sales_executive                3
## 45                 3         2     laboratory_technician                4
## 46                 3         5         research_director                3
## 47                 3         2           sales_executive                3
## 48                 3         1        research_scientist                2
## 49                 3         2           sales_executive                4
## 50                 4         1     laboratory_technician                4
## 51                 2         3     laboratory_technician                3
## 52                 3         1     laboratory_technician                3
## 53                 3         2           sales_executive                1
## 54                 2         3 healthcare_representative                1
## 55                 2         2           sales_executive                4
## 56                 3         3         research_director                4
## 57                 3         3           sales_executive                1
## 58                 3         1     laboratory_technician                1
## 59                 3         2     laboratory_technician                4
## 60                 2         2    manufacturing_director                3
## 61                 3         2    manufacturing_director                4
## 62                 3         2     laboratory_technician                4
## 63                 2         5         research_director                3
## 64                 3         3           sales_executive                1
## 65                 3         3 healthcare_representative                3
## 66                 3         4                   manager                3
## 67                 2         2    manufacturing_director                2
## 68                 3         3        research_scientist                1
## 69                 3         1        research_scientist                1
## 70                 2         1        research_scientist                3
## 71                 2         2           sales_executive                3
## 72                 3         1        research_scientist                2
## 73                 3         1        research_scientist                2
## 74                 3         2        research_scientist                2
## 75                 4         1     laboratory_technician                4
## 76                 3         2    manufacturing_director                4
## 77                 2         2           sales_executive                1
## 78                 3         3         research_director                1
## 79                 3         3         research_director                3
## 80                 3         2           human_resources                2
## 81                 2         2     laboratory_technician                4
## 82                 2         1        research_scientist                3
## 83                 3         3           sales_executive                4
## 84                 1         2        research_scientist                4
## 85                 3         2    manufacturing_director                2
## 86                 1         3    manufacturing_director                4
## 87                 3         1      sales_representative                1
## 88                 3         1     laboratory_technician                4
## 89                 2         2 healthcare_representative                4
## 90                 2         3           sales_executive                4
## 91                 2         4 healthcare_representative                2
## 92                 3         2           sales_executive                4
## 93                 2         2           sales_executive                2
## 94                 2         3 healthcare_representative                1
## 95                 3         2           sales_executive                3
## 96                 3         3         research_director                3
## 97                 3         2           sales_executive                3
## 98                 3         2           sales_executive                3
## 99                 3         4           sales_executive                3
## 100                3         2     laboratory_technician                2
## 101                3         1           human_resources                1
## 102                3         1        research_scientist                1
## 103                2         1     laboratory_technician                4
## 104                3         2        research_scientist                3
## 105                2         2 healthcare_representative                4
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## 1163               2         3           sales_executive                1
## 1164               3         1        research_scientist                2
## 1165               3         3    manufacturing_director                4
## 1166               3         2           human_resources                4
## 1167               2         4                   manager                4
## 1168               1         2           sales_executive                4
## 1169               3         1        research_scientist                4
## 1170               4         1        research_scientist                3
## 1171               3         1        research_scientist                4
## 1172               3         1     laboratory_technician                1
## 1173               2         2           sales_executive                3
## 1174               3         3 healthcare_representative                1
## 1175               4         2    manufacturing_director                3
## 1176               3         2    manufacturing_director                2
## 1177               3         4         research_director                2
## 1178               2         3         research_director                1
## 1179               3         1      sales_representative                3
## 1180               3         2        research_scientist                2
## 1181               3         1     laboratory_technician                2
## 1182               2         4 healthcare_representative                3
## 1183               2         2    manufacturing_director                3
## 1184               4         2 healthcare_representative                1
## 1185               3         4                   manager                3
## 1186               2         4         research_director                3
## 1187               3         2           sales_executive                4
## 1188               3         2        research_scientist                4
## 1189               2         2           sales_executive                2
## 1190               3         2           sales_executive                4
## 1191               3         2        research_scientist                2
## 1192               3         2           sales_executive                4
## 1193               3         1     laboratory_technician                1
## 1194               2         1     laboratory_technician                2
## 1195               4         4                   manager                2
## 1196               3         4                   manager                3
## 1197               3         3           sales_executive                3
## 1198               3         1      sales_representative                1
## 1199               3         2           sales_executive                4
## 1200               3         2 healthcare_representative                3
## 1201               3         1           human_resources                4
## 1202               2         1     laboratory_technician                3
## 1203               3         1     laboratory_technician                3
## 1204               4         3 healthcare_representative                4
## 1205               3         1      sales_representative                3
## 1206               3         1     laboratory_technician                2
## 1207               3         1     laboratory_technician                4
## 1208               2         1        research_scientist                2
## 1209               2         2     laboratory_technician                4
## 1210               1         3 healthcare_representative                4
## 1211               4         1     laboratory_technician                2
## 1212               1         2           sales_executive                4
## 1213               2         1        research_scientist                4
## 1214               3         1      sales_representative                4
## 1215               4         3 healthcare_representative                4
## 1216               2         1        research_scientist                4
## 1217               3         2           sales_executive                4
## 1218               4         1        research_scientist                3
## 1219               3         3           sales_executive                3
## 1220               3         1     laboratory_technician                3
## 1221               3         2      sales_representative                4
## 1222               2         3 healthcare_representative                3
## 1223               1         1           human_resources                3
## 1224               1         4           sales_executive                3
## 1225               1         1     laboratory_technician                3
## 1226               2         4         research_director                2
## 1227               3         1        research_scientist                3
## 1228               3         1     laboratory_technician                3
## 1229               1         2           human_resources                2
## 1230               3         2    manufacturing_director                1
## 1231               3         1     laboratory_technician                1
## 1232               3         2 healthcare_representative                2
## 1233               3         2    manufacturing_director                3
## 1234               3         1        research_scientist                4
## 1235               3         2           sales_executive                2
## 1236               3         3           sales_executive                4
## 1237               2         2           sales_executive                1
## 1238               1         2           sales_executive                2
## 1239               3         1     laboratory_technician                2
## 1240               3         2    manufacturing_director                4
## 1241               3         2     laboratory_technician                4
## 1242               1         3           sales_executive                3
## 1243               3         5                   manager                2
## 1244               1         3           human_resources                3
## 1245               2         1        research_scientist                1
## 1246               3         1           human_resources                4
## 1247               2         1           human_resources                4
## 1248               3         2           sales_executive                3
## 1249               3         1        research_scientist                4
## 1250               1         1      sales_representative                2
## 1251               4         2 healthcare_representative                3
## 1252               2         3           sales_executive                1
## 1253               4         1        research_scientist                4
## 1254               3         2           sales_executive                2
## 1255               3         2           sales_executive                4
## 1256               3         3           sales_executive                1
## 1257               2         1     laboratory_technician                2
## 1258               3         3           sales_executive                3
## 1259               2         1        research_scientist                1
## 1260               4         2 healthcare_representative                3
## 1261               3         1        research_scientist                2
## 1262               1         2 healthcare_representative                4
## 1263               2         1        research_scientist                3
## 1264               3         1     laboratory_technician                2
## 1265               2         5         research_director                1
## 1266               3         2        research_scientist                2
## 1267               3         1     laboratory_technician                1
## 1268               3         2           sales_executive                3
## 1269               2         4    manufacturing_director                3
## 1270               3         1           human_resources                4
## 1271               1         2           sales_executive                4
## 1272               3         1      sales_representative                2
## 1273               2         1     laboratory_technician                3
## 1274               3         1     laboratory_technician                1
## 1275               2         2           sales_executive                4
## 1276               3         3                   manager                3
## 1277               2         2           sales_executive                2
## 1278               3         5         research_director                4
## 1279               3         3 healthcare_representative                1
## 1280               3         1        research_scientist                2
## 1281               3         2           human_resources                2
## 1282               3         2           sales_executive                4
## 1283               4         1        research_scientist                1
## 1284               3         1        research_scientist                4
## 1285               3         3         research_director                3
## 1286               2         2           sales_executive                2
## 1287               3         1     laboratory_technician                1
## 1288               4         2 healthcare_representative                1
## 1289               3         2    manufacturing_director                4
## 1290               3         1           human_resources                2
## 1291               3         2     laboratory_technician                1
## 1292               3         2    manufacturing_director                1
## 1293               3         2           sales_executive                4
## 1294               3         1        research_scientist                3
## 1295               4         2 healthcare_representative                2
## 1296               3         3           sales_executive                3
## 1297               3         3    manufacturing_director                3
## 1298               3         1           human_resources                2
## 1299               3         2 healthcare_representative                2
## 1300               3         2 healthcare_representative                4
## 1301               4         2           sales_executive                3
## 1302               3         4                   manager                2
## 1303               1         1     laboratory_technician                3
## 1304               2         3    manufacturing_director                2
## 1305               3         2 healthcare_representative                1
## 1306               3         2        research_scientist                4
## 1307               3         3           sales_executive                1
## 1308               3         1        research_scientist                1
## 1309               1         2      sales_representative                4
## 1310               3         2           sales_executive                4
## 1311               3         4         research_director                3
## 1312               3         1        research_scientist                3
## 1313               4         1           human_resources                1
## 1314               2         1           human_resources                1
## 1315               3         2           sales_executive                3
## 1316               3         2        research_scientist                2
## 1317               3         2           sales_executive                4
## 1318               3         1     laboratory_technician                4
## 1319               3         1     laboratory_technician                4
## 1320               3         2           sales_executive                4
## 1321               3         1        research_scientist                3
## 1322               3         1     laboratory_technician                3
## 1323               3         3    manufacturing_director                4
## 1324               3         1           human_resources                4
## 1325               1         2 healthcare_representative                3
## 1326               3         1     laboratory_technician                3
## 1327               2         2           sales_executive                2
## 1328               4         4           sales_executive                1
## 1329               2         2      sales_representative                3
## 1330               2         1           human_resources                2
## 1331               2         5                   manager                3
## 1332               2         5         research_director                2
## 1333               2         1        research_scientist                4
## 1334               3         3           sales_executive                2
## 1335               2         1        research_scientist                1
## 1336               3         2        research_scientist                4
## 1337               2         1        research_scientist                4
## 1338               3         1      sales_representative                2
## 1339               3         1      sales_representative                4
## 1340               3         1        research_scientist                2
## 1341               2         2           sales_executive                3
## 1342               3         2     laboratory_technician                3
## 1343               3         3           sales_executive                4
## 1344               3         1     laboratory_technician                1
## 1345               3         2        research_scientist                1
## 1346               2         2    manufacturing_director                2
## 1347               2         2    manufacturing_director                4
## 1348               2         2           human_resources                4
## 1349               3         4                   manager                1
## 1350               2         1        research_scientist                3
## 1351               4         2           sales_executive                3
## 1352               3         4                   manager                4
## 1353               4         2 healthcare_representative                1
## 1354               1         1        research_scientist                1
## 1355               3         1     laboratory_technician                4
## 1356               2         2           sales_executive                2
## 1357               3         2           sales_executive                2
## 1358               3         3         research_director                1
## 1359               3         2           sales_executive                4
## 1360               2         2           sales_executive                4
## 1361               4         1     laboratory_technician                3
## 1362               4         1     laboratory_technician                4
## 1363               3         2 healthcare_representative                3
## 1364               3         2           sales_executive                3
## 1365               2         2           sales_executive                4
## 1366               4         1      sales_representative                1
## 1367               1         2           sales_executive                3
## 1368               3         1        research_scientist                2
## 1369               2         2        research_scientist                4
## 1370               3         2           sales_executive                3
## 1371               3         2        research_scientist                2
## 1372               2         2           sales_executive                1
## 1373               3         2    manufacturing_director                1
## 1374               2         2        research_scientist                2
## 1375               3         4                   manager                4
## 1376               4         1        research_scientist                3
## 1377               3         1        research_scientist                4
## 1378               3         5         research_director                4
## 1379               3         2           sales_executive                4
## 1380               2         1           human_resources                2
## 1381               3         2           sales_executive                1
## 1382               3         1        research_scientist                3
## 1383               3         1        research_scientist                1
## 1384               4         1     laboratory_technician                2
## 1385               3         3           sales_executive                4
## 1386               3         3           sales_executive                3
## 1387               3         1     laboratory_technician                1
## 1388               3         2 healthcare_representative                1
## 1389               3         2 healthcare_representative                4
## 1390               1         2        research_scientist                1
## 1391               2         1     laboratory_technician                4
## 1392               2         1      sales_representative                1
## 1393               3         2           sales_executive                4
## 1394               3         2           sales_executive                4
## 1395               2         2    manufacturing_director                4
## 1396               3         2           sales_executive                4
## 1397               3         3           sales_executive                1
## 1398               3         2        research_scientist                3
## 1399               3         2 healthcare_representative                3
## 1400               3         3 healthcare_representative                3
## 1401               3         1           human_resources                2
## 1402               4         5                   manager                2
## 1403               1         1     laboratory_technician                4
## 1404               3         4           sales_executive                1
## 1405               2         2        research_scientist                3
## 1406               3         3         research_director                3
## 1407               3         2    manufacturing_director                1
## 1408               2         2 healthcare_representative                3
## 1409               3         1     laboratory_technician                4
## 1410               3         2     laboratory_technician                3
## 1411               3         2           sales_executive                2
## 1412               3         1           human_resources                2
## 1413               3         1     laboratory_technician                2
## 1414               3         1     laboratory_technician                3
## 1415               3         3 healthcare_representative                3
## 1416               2         1     laboratory_technician                3
## 1417               3         2           sales_executive                2
## 1418               3         1      sales_representative                3
## 1419               2         2    manufacturing_director                3
## 1420               3         2        research_scientist                1
## 1421               3         1        research_scientist                4
## 1422               3         3         research_director                2
## 1423               3         1     laboratory_technician                3
## 1424               3         1        research_scientist                3
## 1425               3         2        research_scientist                3
## 1426               3         2 healthcare_representative                4
## 1427               2         1     laboratory_technician                2
## 1428               3         1     laboratory_technician                4
## 1429               2         1      sales_representative                2
## 1430               3         2        research_scientist                4
## 1431               1         3         research_director                3
## 1432               3         3           sales_executive                4
## 1433               4         3         research_director                4
## 1434               3         2           sales_executive                3
## 1435               3         1      sales_representative                4
## 1436               3         1        research_scientist                4
## 1437               3         1      sales_representative                1
## 1438               3         5                   manager                4
## 1439               3         1      sales_representative                1
## 1440               2         3           sales_executive                4
## 1441               3         2    manufacturing_director                2
## 1442               3         2 healthcare_representative                3
## 1443               3         1        research_scientist                4
## 1444               3         5                   manager                3
## 1445               3         1     laboratory_technician                3
## 1446               2         4    manufacturing_director                2
## 1447               2         2           sales_executive                3
## 1448               1         2           sales_executive                4
## 1449               2         2           sales_executive                2
## 1450               3         1        research_scientist                1
## 1451               3         3           human_resources                4
## 1452               3         2           sales_executive                4
## 1453               3         2           sales_executive                3
## 1454               2         2           sales_executive                4
## 1455               3         2           sales_executive                3
## 1456               2         1        research_scientist                3
## 1457               3         2 healthcare_representative                3
## 1458               3         1        research_scientist                3
## 1459               1         1        research_scientist                4
## 1460               2         2     laboratory_technician                2
## 1461               2         1        research_scientist                1
## 1462               2         3           sales_executive                1
## 1463               2         4           sales_executive                4
## 1464               3         2    manufacturing_director                1
## 1465               2         1      sales_representative                3
## 1466               4         2     laboratory_technician                4
## 1467               2         3 healthcare_representative                1
## 1468               4         2    manufacturing_director                2
## 1469               2         2           sales_executive                2
## 1470               4         2     laboratory_technician                3
##      marital_status monthly_income monthly_rate num_companies_worked over_18
## 1            single           5993        19479                    8       y
## 2           married           5130        24907                    1       y
## 3            single           2090         2396                    6       y
## 4           married           2909        23159                    1       y
## 5           married           3468        16632                    9       y
## 6            single           3068        11864                    0       y
## 7           married           2670         9964                    4       y
## 8          divorced           2693        13335                    1       y
## 9            single           9526         8787                    0       y
## 10          married           5237        16577                    6       y
## 11          married           2426        16479                    0       y
## 12           single           4193        12682                    0       y
## 13         divorced           2911        15170                    1       y
## 14         divorced           2661         8758                    0       y
## 15           single           2028        12947                    5       y
## 16         divorced           9980        10195                    1       y
## 17         divorced           3298        15053                    0       y
## 18         divorced           2935         7324                    1       y
## 19          married          15427        22021                    2       y
## 20           single           3944         4306                    5       y
## 21         divorced           4011         8232                    0       y
## 22           single           3407         6986                    7       y
## 23           single          11994        21293                    0       y
## 24           single           1232        19281                    1       y
## 25           single           2960        17102                    2       y
## 26         divorced          19094        10735                    4       y
## 27           single           3919         4681                    1       y
## 28          married           6825        21173                    0       y
## 29          married          10248         2094                    3       y
## 30           single          18947        22822                    3       y
## 31           single           2496         6670                    4       y
## 32          married           6465        19121                    2       y
## 33           single           2206        16117                    1       y
## 34          married           2086         3335                    3       y
## 35          married           2293         3020                    2       y
## 36         divorced           2645        21923                    1       y
## 37          married           2683         3810                    1       y
## 38          married           2014         9687                    1       y
## 39          married           3419        13072                    9       y
## 40          married           5376         3193                    2       y
## 41         divorced           1951        10910                    1       y
## 42         divorced           2341        19715                    1       y
## 43           single           2293        10558                    1       y
## 44           single           8726         2975                    1       y
## 45           single           4011        10781                    1       y
## 46          married          19545        16280                    1       y
## 47           single           4568        10034                    0       y
## 48          married           3022        10227                    4       y
## 49           single           5772        20445                    4       y
## 50          married           2269         4892                    1       y
## 51           single           5381        19294                    9       y
## 52           single           3441        11179                    1       y
## 53         divorced           5454         4009                    5       y
## 54          married           9884         8302                    2       y
## 55          married           4157        21436                    7       y
## 56           single          13458        15146                    1       y
## 57          married           9069        11031                    1       y
## 58          married           4014        16002                    3       y
## 59         divorced           5915         9528                    3       y
## 60         divorced           5993         2689                    1       y
## 61          married           6162        10877                    1       y
## 62           single           2406         5456                    1       y
## 63         divorced          18740        16701                    5       y
## 64           single           7637         2354                    7       y
## 65         divorced          10096         8202                    1       y
## 66         divorced          14756        19730                    2       y
## 67           single           6499        22656                    1       y
## 68         divorced           9724        18787                    2       y
## 69          married           2194         5868                    4       y
## 70          married           3388        21777                    0       y
## 71           single           5473        24668                    7       y
## 72          married           2703         4956                    0       y
## 73           single           2501        18775                    1       y
## 74          married           6220         7346                    1       y
## 75          married           3038        22002                    3       y
## 76           single           4424        20682                    1       y
## 77           single           4312        23016                    0       y
## 78          married          13245        15067                    4       y
## 79           single          13664        25258                    4       y
## 80         divorced           5021        10425                    8       y
## 81          married           5126        15998                    1       y
## 82           single           2859        26278                    1       y
## 83          married          10239        18092                    3       y
## 84         divorced           5329        15717                    7       y
## 85          married           4325        17736                    1       y
## 86           single           7260        21698                    4       y
## 87         divorced           2322         9518                    3       y
## 88          married           2075        18725                    3       y
## 89          married           4152        15830                    1       y
## 90           single           9619        13596                    1       y
## 91          married          13503        14115                    1       y
## 92           single           5441         8423                    0       y
## 93         divorced           5209        19760                    1       y
## 94          married          10673         3142                    2       y
## 95           single           5010        24301                    1       y
## 96          married          13549        24001                    9       y
## 97          married           4999        17519                    0       y
## 98          married           4221         8863                    1       y
## 99           single          13872        24409                    0       y
## 100         married           2042        25043                    4       y
## 101        divorced           2073        23648                    4       y
## 102          single           2956        15178                    1       y
## 103          single           2926        19783                    1       y
## 104          single           4809        12482                    1       y
## 105        divorced           5163        15850                    5       y
## 106         married          18844        21922                    9       y
## 107         married          18172         9755                    3       y
## 108          single           5744        26959                    1       y
## 109         married           2889        26897                    1       y
## 110          single           2871        23785                    1       y
## 111          single           7484        25796                    3       y
## 112          single           6074        22887                    1       y
## 113          single          17328        13871                    2       y
## 114         married           2774        13257                    0       y
## 115        divorced           4505        15000                    6       y
## 116          single           7428        14506                    2       y
## 117          single          11631         5615                    2       y
## 118         married           9738        22952                    0       y
## 119        divorced           2835         2561                    5       y
## 120         married          16959        19494                    1       y
## 121        divorced           2613        22310                    1       y
## 122         married           6146        15480                    0       y
## 123         married           4963         4510                    9       y
## 124          single          19537         6462                    7       y
## 125         married           6172        20739                    4       y
## 126         married           2368        23300                    1       y
## 127         married          10312         3465                    1       y
## 128          single           1675        26820                    1       y
## 129         married           2523        19299                    0       y
## 130         married           6567         5549                    1       y
## 131          single           4739        16090                    4       y
## 132          single           9208         6645                    4       y
## 133         married           4559        24788                    3       y
## 134        divorced           8189        21196                    3       y
## 135         married           2942         8916                    1       y
## 136        divorced           4941         2819                    6       y
## 137          single          10650        25150                    2       y
## 138         married           5902        14590                    4       y
## 139         married           8639        24835                    2       y
## 140         married           6347        13982                    0       y
## 141          single           4200        10224                    7       y
## 142          single           3452         9752                    5       y
## 143          single           4317         2302                    3       y
## 144          single           2632        23910                    1       y
## 145        divorced           4668        22812                    0       y
## 146        divorced           3204        10415                    5       y
## 147          single           2720        11162                    0       y
## 148        divorced          17181        12888                    4       y
## 149         married           2238         6961                    2       y
## 150          single           1483        16102                    1       y
## 151        divorced           5605         8504                    1       y
## 152         married           7295        11439                    1       y
## 153         married           2306        16047                    2       y
## 154        divorced           2348        10901                    8       y
## 155          single           8998        15589                    1       y
## 156         married           4319        26283                    1       y
## 157         married           6132        13983                    2       y
## 158         married           3346        11873                    4       y
## 159         married          10855         8552                    7       y
## 160         married           2231        11314                    6       y
## 161         married           2323        11992                    1       y
## 162        divorced           2024         5970                    6       y
## 163         married           2713         6672                    1       y
## 164        divorced           9439        23402                    3       y
## 165        divorced           2566        25326                    1       y
## 166          single          19926        17053                    3       y
## 167        divorced           2451         4609                    4       y
## 168         married           9419         8053                    2       y
## 169          single           8686        12930                    4       y
## 170          single           3038        12430                    3       y
## 171         married           3058        13364                    0       y
## 172          single           2325        20989                    0       y
## 173          single           2088        15062                    4       y
## 174        divorced           3072        11012                    1       y
## 175        divorced           5006         6319                    4       y
## 176        divorced           4257        13939                    4       y
## 177          single           2500        10515                    0       y
## 178          single           1102         9241                    1       y
## 179        divorced          10453         2137                    1       y
## 180          single           2288         6319                    1       y
## 181         married           3929         6984                    8       y
## 182          single           2311         5711                    2       y
## 183          single           3140        21728                    1       y
## 184         married           3690         3425                    2       y
## 185        divorced           4450        26250                    1       y
## 186         married           2756         4673                    1       y
## 187         married          19033         6499                    1       y
## 188          single          18722        13339                    8       y
## 189         married           9547        14074                    1       y
## 190          single          13734         7192                    3       y
## 191         married          19999         5678                    0       y
## 192          single           2279        11781                    1       y
## 193         married           5916        15497                    3       y
## 194        divorced           2089         5228                    4       y
## 195         married          16792        20462                    9       y
## 196         married           3564        22977                    1       y
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## 1159        married           5768        26493                    3       y
## 1160         single           5042         3140                    0       y
## 1161       divorced           5770         5388                    1       y
## 1162        married           7756        14199                    3       y
## 1163        married          10306        21530                    9       y
## 1164        married           3936         9953                    1       y
## 1165         single           7945        19948                    6       y
## 1166        married           5743        10503                    4       y
## 1167        married          15202         5602                    2       y
## 1168       divorced           5440        22098                    6       y
## 1169         single           3760        17218                    1       y
## 1170        married           3517        22490                    7       y
## 1171         single           2580         6297                    2       y
## 1172         single           2166         3339                    3       y
## 1173         single           5869        23413                    9       y
## 1174        married           8008        22792                    4       y
## 1175       divorced           5206         4973                    1       y
## 1176        married           5295         7693                    4       y
## 1177        married          16413         3498                    3       y
## 1178       divorced          13269        21981                    5       y
## 1179         single           2783        13251                    1       y
## 1180       divorced           5433        19332                    1       y
## 1181         single           2013        10950                    2       y
## 1182        married          13966        11652                    2       y
## 1183        married           4374        15411                    0       y
## 1184       divorced           6842        26308                    6       y
## 1185        married          17426        18685                    3       y
## 1186        married          17603         3525                    1       y
## 1187         single           4581        10414                    3       y
## 1188        married           4735         9867                    7       y
## 1189       divorced           4187         3356                    1       y
## 1190       divorced           5505         3921                    1       y
## 1191       divorced           5470        25518                    0       y
## 1192        married           5476        22589                    1       y
## 1193       divorced           2587        24941                    4       y
## 1194         single           2440        23826                    1       y
## 1195       divorced          15972        21086                    6       y
## 1196         single          15379        22384                    4       y
## 1197         single           7082        11591                    3       y
## 1198         single           2728        21082                    1       y
## 1199       divorced           5368        16130                    1       y
## 1200        married           5347         7419                    6       y
## 1201       divorced           3195         4167                    4       y
## 1202         single           3989        20586                    1       y
## 1203        married           3306        26176                    7       y
## 1204        married           7005         3458                    3       y
## 1205        married           2655        11740                    2       y
## 1206         single           1393        24852                    1       y
## 1207         single           2570        11925                    1       y
## 1208       divorced           3537        23737                    5       y
## 1209        married           3986        11912                    1       y
## 1210       divorced          10883        20467                    3       y
## 1211        married           2028        13637                    1       y
## 1212       divorced           9525         7677                    1       y
## 1213        married           2929        20338                    1       y
## 1214       divorced           2275        25103                    1       y
## 1215        married           7879        14810                    1       y
## 1216         single           4930        13970                    0       y
## 1217        married           7847         6069                    1       y
## 1218        married           4401        17616                    1       y
## 1219         single           9241        15869                    1       y
## 1220        married           2974        25412                    9       y
## 1221         single           4502         7439                    3       y
## 1222        married          10748         3395                    3       y
## 1223        married           1555        11585                    1       y
## 1224        married          12936        24164                    7       y
## 1225        married           2305         6217                    1       y
## 1226         single          16704        17119                    1       y
## 1227        married           3433        17360                    6       y
## 1228        married           3477        18103                    1       y
## 1229        married           6430        20794                    6       y
## 1230        married           6516         5041                    2       y
## 1231       divorced           3907         3622                    1       y
## 1232         single           5562         9697                    6       y
## 1233        married           6883         5151                    2       y
## 1234        married           2862         3811                    1       y
## 1235        married           4978         3536                    7       y
## 1236       divorced          10368         5596                    4       y
## 1237       divorced           6134         8658                    5       y
## 1238         single           6735        12147                    6       y
## 1239         single           3295        12862                    1       y
## 1240         single           5238         6670                    2       y
## 1241        married           6472         8989                    1       y
## 1242        married           9610         3840                    3       y
## 1243         single          19833         4349                    1       y
## 1244        married           9756         6595                    4       y
## 1245         single           4968        26427                    0       y
## 1246        married           2145         2097                    0       y
## 1247       divorced           2180         9732                    6       y
## 1248        married           8346        20943                    1       y
## 1249         single           3445         6152                    1       y
## 1250         single           2760        14630                    1       y
## 1251         single           6294        23060                    8       y
## 1252       divorced           7140         3088                    2       y
## 1253        married           2932         5586                    0       y
## 1254         single           5147        10697                    8       y
## 1255         single           4507         8191                    3       y
## 1256         single           8564        10092                    2       y
## 1257        married           2468        15963                    4       y
## 1258        married           8161        19002                    2       y
## 1259       divorced           2109        10007                    1       y
## 1260        married           5294         9128                    3       y
## 1261         single           2718        17674                    2       y
## 1262        married           5811        24539                    3       y
## 1263        married           2437        15587                    9       y
## 1264       divorced           2766         8952                    8       y
## 1265        married          19038        19805                    8       y
## 1266       divorced           3055         6194                    5       y
## 1267       divorced           2289        20520                    1       y
## 1268       divorced           4001        12313                    1       y
## 1269        married          12965        22308                    4       y
## 1270         single           3539         5033                    0       y
## 1271         single           6029        25353                    5       y
## 1272         single           2679         4567                    1       y
## 1273        married           3702        16376                    1       y
## 1274        married           2398        15999                    1       y
## 1275        married           5468        13402                    1       y
## 1276        married          13116        22984                    2       y
## 1277        married           4189         8800                    1       y
## 1278       divorced          19328        14218                    7       y
## 1279        married           8321        25949                    7       y
## 1280       divorced           2342        11092                    1       y
## 1281       divorced           4071        12832                    2       y
## 1282         single           5813        13492                    1       y
## 1283        married           3143         6076                    6       y
## 1284        married           2044         5531                    1       y
## 1285         single          13464         7914                    7       y
## 1286         single           7991        25166                    8       y
## 1287        married           3377        25605                    4       y
## 1288        married           5538         5696                    5       y
## 1289       divorced           5762        24442                    2       y
## 1290       divorced           2592         7129                    5       y
## 1291        married           5346         6208                    4       y
## 1292         single           4213         4992                    1       y
## 1293       divorced           4127        19188                    2       y
## 1294         single           2438        24978                    4       y
## 1295         single           6870        15530                    3       y
## 1296       divorced          10447        26458                    0       y
## 1297         single           9667         2739                    9       y
## 1298        married           2148         6889                    0       y
## 1299        married           8926        10842                    4       y
## 1300       divorced           6513         9060                    4       y
## 1301        married           6799        22128                    1       y
## 1302       divorced          16291        22577                    4       y
## 1303        married           2705         9696                    0       y
## 1304       divorced          10333        19271                    8       y
## 1305       divorced           4448        10748                    2       y
## 1306        married           6854        15696                    4       y
## 1307        married           9637         8277                    2       y
## 1308        married           3591        12719                    1       y
## 1309        married           5405         4244                    2       y
## 1310         single           4684         9125                    1       y
## 1311        married          15787        21624                    2       y
## 1312         single           1514         8018                    1       y
## 1313        married           2956        21495                    0       y
## 1314       divorced           2335         3157                    4       y
## 1315        married           5154        19665                    4       y
## 1316        married           6962        19573                    4       y
## 1317        married           5675        19246                    1       y
## 1318         single           2379        19826                    0       y
## 1319        married           3812         7003                    1       y
## 1320         single           4648        26075                    8       y
## 1321        married           2936         6161                    3       y
## 1322         single           2105         5411                    4       y
## 1323       divorced           8578        19989                    3       y
## 1324       divorced           2706        10494                    1       y
## 1325       divorced           6384        21143                    8       y
## 1326         single           3968        13624                    4       y
## 1327         single           9907        26186                    7       y
## 1328       divorced          13225         7739                    2       y
## 1329        married           3540         7018                    1       y
## 1330        married           2804        15434                    1       y
## 1331        married          19392        22539                    7       y
## 1332        married          19665        13583                    4       y
## 1333         single           2439        14753                    1       y
## 1334        married           7314        14011                    5       y
## 1335        married           4774        23844                    0       y
## 1336       divorced           3902         5141                    8       y
## 1337        married           2662         7975                    8       y
## 1338        married           2856         3692                    1       y
## 1339         single           1081        16019                    1       y
## 1340         single           2472        26092                    1       y
## 1341        married           5673         6060                    1       y
## 1342       divorced           4197        18624                    1       y
## 1343        married           9713        24444                    2       y
## 1344         single           2062        19384                    3       y
## 1345        married           4284        13588                    5       y
## 1346        married           4788        25388                    0       y
## 1347        married           5906        23888                    0       y
## 1348         single           3886         4223                    1       y
## 1349       divorced          16823        18991                    2       y
## 1350        married           2933        14908                    1       y
## 1351         single           6500        26997                    0       y
## 1352       divorced          17174         2437                    3       y
## 1353        married           5033         9364                    2       y
## 1354        married           2307        14460                    1       y
## 1355         single           2587        10261                    1       y
## 1356        married           5507        16822                    2       y
## 1357        married           4393        26841                    5       y
## 1358        married          13348        14842                    9       y
## 1359       divorced           6583        20115                    2       y
## 1360        married           8103        16495                    3       y
## 1361       divorced           3978        16031                    8       y
## 1362        married           2544         7102                    0       y
## 1363         single           5399        14511                    4       y
## 1364         single           5487        10410                    1       y
## 1365        married           6834        19255                    1       y
## 1366         single           1091        10642                    1       y
## 1367        married           5736         3987                    6       y
## 1368        married           2226         6073                    1       y
## 1369        married           5747        26496                    1       y
## 1370         single           9854        23352                    3       y
## 1371        married           5467         2125                    8       y
## 1372        married           5380        20328                    4       y
## 1373        married           5151        12315                    1       y
## 1374       divorced           2133        18115                    1       y
## 1375        married          17875        11761                    4       y
## 1376         single           2432        15318                    3       y
## 1377       divorced           4771        14293                    2       y
## 1378        married          19161        13738                    3       y
## 1379       divorced           5087         2900                    3       y
## 1380        married           2863        19555                    1       y
## 1381        married           5561        15975                    0       y
## 1382         single           2144         2122                    1       y
## 1383       divorced           3065         3995                    1       y
## 1384        married           2810         9238                    1       y
## 1385         single           9888         6770                    1       y
## 1386       divorced           8628        22914                    1       y
## 1387         single           2867        20006                    0       y
## 1388        married           5373         6225                    0       y
## 1389       divorced           6667        16542                    5       y
## 1390        married           5003         5771                    1       y
## 1391       divorced           2367        18779                    5       y
## 1392         single           2858        11473                    4       y
## 1393        married           5204        13586                    1       y
## 1394         single           4105         5099                    1       y
## 1395         single           9679        10138                    8       y
## 1396        married           5617        21075                    1       y
## 1397         single          10448         5843                    6       y
## 1398        married           2897        22474                    3       y
## 1399       divorced           5968        18079                    1       y
## 1400        married           7510        16873                    1       y
## 1401        married           2991         5224                    0       y
## 1402        married          19636        25811                    4       y
## 1403       divorced           1129        17536                    1       y
## 1404         single          13341        25098                    0       y
## 1405         single           4332        14811                    1       y
## 1406        married          11031        26862                    4       y
## 1407         single           4440        25198                    6       y
## 1408         single           4617        14120                    1       y
## 1409         single           2647        13672                    1       y
## 1410        married           6323        26849                    1       y
## 1411        married           5677         4258                    3       y
## 1412        married           2187        19655                    4       y
## 1413        married           3748         4077                    1       y
## 1414       divorced           3977         7298                    6       y
## 1415         single           8633        13084                    2       y
## 1416       divorced           2008        20439                    1       y
## 1417        married           4440         7636                    0       y
## 1418        married           3067         6393                    0       y
## 1419        married           5321        14284                    2       y
## 1420       divorced           5410        11189                    6       y
## 1421        married           2782        21412                    3       y
## 1422        married          11957        17231                    0       y
## 1423        married           2660        20232                    7       y
## 1424         single           3375        17624                    0       y
## 1425         single           5098        18698                    1       y
## 1426        married           4878        21653                    0       y
## 1427         single           2837        15919                    1       y
## 1428        married           2406         4060                    8       y
## 1429        married           2269        18024                    0       y
## 1430         single           4108         5340                    7       y
## 1431        married          13206         3376                    3       y
## 1432        married          10422        24032                    1       y
## 1433        married          13744        15471                    1       y
## 1434       divorced           4907        13684                    0       y
## 1435       divorced           3482        19788                    2       y
## 1436         single           2436        13422                    6       y
## 1437         single           2380        25479                    1       y
## 1438         single          19431        15302                    2       y
## 1439        married           1790        26956                    1       y
## 1440        married           7644        12695                    0       y
## 1441       divorced           5131         9192                    7       y
## 1442       divorced           6306        26236                    1       y
## 1443        married           4787        26124                    9       y
## 1444        married          18880        17312                    5       y
## 1445        married           2339         3666                    8       y
## 1446        married          13570         5640                    0       y
## 1447        married           6712         8978                    1       y
## 1448       divorced           5406        10436                    1       y
## 1449       divorced           8938        12227                    2       y
## 1450         single           2439        11288                    1       y
## 1451         single           8837        16642                    1       y
## 1452        married           5343         5982                    1       y
## 1453       divorced           6728        14255                    7       y
## 1454        married           6652        14369                    4       y
## 1455         single           4850        23333                    8       y
## 1456         single           2809         2725                    2       y
## 1457        married           5689        24594                    1       y
## 1458        married           2001        12549                    2       y
## 1459        married           2977         8952                    1       y
## 1460        married           4025        23679                    4       y
## 1461         single           3785         8489                    1       y
## 1462       divorced          10854        16586                    4       y
## 1463        married          12031         8828                    0       y
## 1464         single           9936         3787                    0       y
## 1465         single           2966        21378                    0       y
## 1466        married           2571        12290                    4       y
## 1467        married           9991        21457                    4       y
## 1468        married           6142         5174                    1       y
## 1469        married           5390        13243                    2       y
## 1470        married           4404        10228                    2       y
##      over_time percent_salary_hike performance_rating relationship_satisfaction
## 1          yes                  11                  3                         1
## 2           no                  23                  4                         4
## 3          yes                  15                  3                         2
## 4          yes                  11                  3                         3
## 5           no                  12                  3                         4
## 6           no                  13                  3                         3
## 7          yes                  20                  4                         1
## 8           no                  22                  4                         2
## 9           no                  21                  4                         2
## 10          no                  13                  3                         2
## 11          no                  13                  3                         3
## 12         yes                  12                  3                         4
## 13          no                  17                  3                         4
## 14          no                  11                  3                         3
## 15         yes                  14                  3                         2
## 16          no                  11                  3                         3
## 17         yes                  12                  3                         4
## 18         yes                  13                  3                         2
## 19          no                  16                  3                         3
## 20         yes                  11                  3                         3
## 21          no                  18                  3                         4
## 22          no                  23                  4                         2
## 23          no                  11                  3                         3
## 24          no                  14                  3                         4
## 25          no                  11                  3                         3
## 26          no                  11                  3                         4
## 27         yes                  22                  4                         2
## 28          no                  11                  3                         4
## 29          no                  14                  3                         4
## 30          no                  12                  3                         4
## 31          no                  11                  3                         4
## 32         yes                  13                  3                         4
## 33          no                  13                  3                         1
## 34          no                  14                  3                         3
## 35         yes                  16                  3                         1
## 36          no                  12                  3                         4
## 37         yes                  14                  3                         3
## 38          no                  13                  3                         1
## 39         yes                  14                  3                         4
## 40          no                  19                  3                         1
## 41          no                  12                  3                         3
## 42          no                  13                  3                         4
## 43          no                  12                  3                         3
## 44          no                  15                  3                         4
## 45          no                  23                  4                         4
## 46          no                  12                  3                         4
## 47          no                  20                  4                         3
## 48          no                  21                  4                         1
## 49         yes                  21                  4                         3
## 50          no                  19                  3                         4
## 51         yes                  13                  3                         4
## 52         yes                  13                  3                         3
## 53         yes                  21                  4                         3
## 54         yes                  13                  3                         3
## 55         yes                  19                  3                         3
## 56         yes                  12                  3                         3
## 57          no                  22                  4                         4
## 58         yes                  15                  3                         3
## 59          no                  22                  4                         4
## 60          no                  18                  3                         3
## 61         yes                  22                  4                         2
## 62          no                  11                  3                         4
## 63         yes                  12                  3                         4
## 64          no                  11                  3                         4
## 65          no                  13                  3                         2
## 66         yes                  14                  3                         3
## 67          no                  13                  3                         3
## 68          no                  17                  3                         3
## 69          no                  13                  3                         4
## 70         yes                  17                  3                         1
## 71          no                  11                  3                         4
## 72          no                  23                  4                         4
## 73          no                  17                  3                         2
## 74          no                  17                  3                         2
## 75          no                  12                  3                         2
## 76          no                  23                  4                         4
## 77          no                  14                  3                         2
## 78         yes                  14                  3                         2
## 79          no                  13                  3                         1
## 80         yes                  22                  4                         4
## 81         yes                  12                  3                         3
## 82          no                  18                  3                         1
## 83          no                  14                  3                         4
## 84         yes                  12                  3                         4
## 85          no                  15                  3                         3
## 86          no                  11                  3                         1
## 87          no                  13                  3                         3
## 88          no                  23                  4                         2
## 89          no                  19                  3                         1
## 90          no                  16                  3                         4
## 91          no                  22                  4                         4
## 92         yes                  22                  4                         4
## 93         yes                  12                  3                         2
## 94         yes                  13                  3                         3
## 95          no                  16                  3                         1
## 96          no                  12                  3                         1
## 97          no                  21                  4                         1
## 98          no                  15                  3                         2
## 99          no                  13                  3                         3
## 100         no                  12                  3                         3
## 101        yes                  22                  4                         4
## 102         no                  13                  3                         4
## 103        yes                  18                  3                         2
## 104         no                  14                  3                         3
## 105         no                  14                  3                         4
## 106         no                  21                  4                         4
## 107        yes                  19                  3                         1
## 108        yes                  11                  3                         4
## 109         no                  11                  3                         3
## 110         no                  15                  3                         3
## 111         no                  20                  4                         3
## 112        yes                  24                  4                         4
## 113        yes                  12                  3                         3
## 114         no                  12                  3                         3
## 115         no                  15                  3                         3
## 116         no                  12                  3                         1
## 117         no                  12                  3                         4
## 118         no                  14                  3                         3
## 119         no                  22                  4                         1
## 120        yes                  12                  3                         4
## 121         no                  25                  4                         3
## 122         no                  13                  3                         1
## 123        yes                  18                  3                         1
## 124         no                  13                  3                         3
## 125        yes                  18                  3                         2
## 126         no                  19                  3                         3
## 127         no                  12                  3                         4
## 128        yes                  19                  3                         4
## 129         no                  14                  3                         3
## 130         no                  14                  3                         3
## 131         no                  12                  3                         4
## 132         no                  11                  3                         4
## 133        yes                  11                  3                         3
## 134        yes                  13                  3                         3
## 135         no                  23                  4                         4
## 136         no                  20                  4                         4
## 137         no                  15                  3                         4
## 138         no                  14                  3                         3
## 139         no                  18                  3                         4
## 140        yes                  19                  3                         4
## 141         no                  22                  4                         1
## 142         no                  13                  3                         2
## 143        yes                  20                  4                         2
## 144         no                  14                  3                         3
## 145         no                  17                  3                         4
## 146         no                  14                  3                         4
## 147         no                  13                  3                         4
## 148         no                  13                  3                         2
## 149         no                  21                  4                         4
## 150         no                  14                  3                         4
## 151         no                  11                  3                         1
## 152         no                  13                  3                         1
## 153        yes                  20                  4                         4
## 154         no                  18                  3                         3
## 155         no                  14                  3                         4
## 156         no                  13                  3                         1
## 157         no                  17                  3                         3
## 158        yes                  20                  4                         2
## 159         no                  11                  3                         1
## 160         no                  18                  3                         4
## 161         no                  24                  4                         1
## 162         no                  18                  3                         4
## 163         no                  11                  3                         3
## 164        yes                  16                  3                         2
## 165        yes                  15                  3                         4
## 166         no                  15                  3                         2
## 167         no                  12                  3                         1
## 168         no                  12                  3                         3
## 169         no                  22                  4                         3
## 170         no                  20                  4                         1
## 171        yes                  16                  3                         4
## 172         no                  21                  4                         1
## 173         no                  12                  3                         3
## 174         no                  11                  3                         3
## 175        yes                  11                  3                         1
## 176        yes                  18                  3                         3
## 177         no                  14                  3                         1
## 178         no                  22                  4                         3
## 179         no                  25                  4                         3
## 180         no                  12                  3                         3
## 181        yes                  23                  4                         3
## 182         no                  15                  3                         4
## 183        yes                  22                  4                         4
## 184         no                  15                  3                         4
## 185         no                  11                  3                         3
## 186         no                  13                  3                         4
## 187         no                  14                  3                         2
## 188         no                  11                  3                         4
## 189         no                  17                  3                         3
## 190         no                  18                  3                         3
## 191         no                  14                  3                         1
## 192         no                  16                  3                         4
## 193        yes                  13                  3                         1
## 194         no                  14                  3                         4
## 195         no                  23                  4                         4
## 196        yes                  12                  3                         1
## 197         no                  11                  3                         4
## 198         no                  16                  3                         2
## 199         no                  14                  3                         2
## 200         no                  18                  3                         1
## 201         no                  19                  3                         3
## 202        yes                  15                  3                         1
## 203        yes                  17                  3                         4
## 204        yes                  15                  3                         3
## 205        yes                  19                  3                         2
## 206         no                  22                  4                         4
## 207        yes                  16                  3                         1
## 208         no                  13                  3                         1
## 209         no                  14                  3                         4
## 210         no                  16                  3                         3
## 211         no                  11                  3                         3
## 212         no                  22                  4                         3
## 213         no                  14                  3                         4
## 214         no                  16                  3                         4
## 215        yes                  11                  3                         3
## 216        yes                  18                  3                         3
## 217         no                  15                  3                         3
## 218         no                  14                  3                         4
## 219         no                  12                  3                         4
## 220         no                  14                  3                         4
## 221         no                  16                  3                         4
## 222         no                  21                  4                         4
## 223        yes                  14                  3                         3
## 224         no                  12                  3                         3
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## 882        yes                  14                  3                         4
## 883        yes                  21                  4                         3
## 884         no                  13                  3                         2
## 885         no                  12                  3                         2
## 886         no                  14                  3                         2
## 887        yes                  21                  4                         1
## 888        yes                  17                  3                         3
## 889        yes                  11                  3                         2
## 890        yes                  14                  3                         4
## 891         no                  17                  3                         1
## 892         no                  13                  3                         4
## 893        yes                  25                  4                         2
## 894         no                  15                  3                         1
## 895         no                  14                  3                         1
## 896        yes                  12                  3                         4
## 897         no                  19                  3                         2
## 898         no                  17                  3                         4
## 899         no                  14                  3                         2
## 900         no                  13                  3                         3
## 901         no                  12                  3                         3
## 902         no                  11                  3                         3
## 903         no                  11                  3                         2
## 904        yes                  11                  3                         2
## 905         no                  12                  3                         3
## 906         no                  14                  3                         2
## 907         no                  17                  3                         4
## 908         no                  11                  3                         3
## 909        yes                  14                  3                         4
## 910        yes                  12                  3                         4
## 911         no                  22                  4                         4
## 912        yes                  14                  3                         4
## 913        yes                  20                  4                         2
## 914        yes                  16                  3                         1
## 915        yes                  15                  3                         4
## 916         no                  20                  4                         3
## 917         no                  14                  3                         3
## 918        yes                  12                  3                         4
## 919        yes                  24                  4                         1
## 920         no                  12                  3                         4
## 921         no                  13                  3                         3
## 922        yes                  11                  3                         3
## 923         no                  14                  3                         4
## 924         no                  11                  3                         4
## 925        yes                  14                  3                         4
## 926        yes                  16                  3                         4
## 927         no                  14                  3                         4
## 928        yes                  11                  3                         4
## 929         no                  11                  3                         4
## 930        yes                  12                  3                         2
## 931         no                  14                  3                         2
## 932        yes                  18                  3                         3
## 933        yes                  13                  3                         1
## 934         no                  11                  3                         2
## 935         no                  18                  3                         4
## 936         no                  15                  3                         3
## 937         no                  22                  4                         3
## 938        yes                  13                  3                         4
## 939         no                  12                  3                         4
## 940         no                  18                  3                         1
## 941         no                  13                  3                         1
## 942         no                  12                  3                         1
## 943         no                  12                  3                         1
## 944         no                  12                  3                         3
## 945         no                  11                  3                         1
## 946        yes                  11                  3                         2
## 947        yes                  12                  3                         3
## 948        yes                  19                  3                         3
## 949        yes                  23                  4                         4
## 950         no                  11                  3                         1
## 951        yes                  19                  3                         1
## 952         no                  13                  3                         1
## 953        yes                  11                  3                         1
## 954         no                  12                  3                         3
## 955        yes                  13                  3                         4
## 956         no                  14                  3                         4
## 957         no                  14                  3                         1
## 958         no                  16                  3                         2
## 959         no                  11                  3                         4
## 960         no                  13                  3                         3
## 961         no                  17                  3                         4
## 962        yes                  11                  3                         2
## 963        yes                  11                  3                         2
## 964         no                  15                  3                         4
## 965         no                  12                  3                         4
## 966         no                  11                  3                         3
## 967        yes                  14                  3                         4
## 968         no                  22                  4                         3
## 969         no                  16                  3                         4
## 970         no                  11                  3                         3
## 971         no                  14                  3                         2
## 972         no                  16                  3                         2
## 973         no                  15                  3                         3
## 974         no                  12                  3                         2
## 975         no                  20                  4                         2
## 976        yes                  17                  3                         3
## 977        yes                  12                  3                         1
## 978         no                  20                  4                         3
## 979         no                  20                  4                         2
## 980         no                  13                  3                         1
## 981         no                  14                  3                         3
## 982        yes                  18                  3                         3
## 983         no                  11                  3                         4
## 984         no                  11                  3                         4
## 985         no                  11                  3                         3
## 986        yes                  15                  3                         4
## 987        yes                  12                  3                         4
## 988         no                  11                  3                         2
## 989        yes                  14                  3                         1
## 990        yes                  15                  3                         4
## 991         no                  13                  3                         1
## 992        yes                  13                  3                         1
## 993         no                  21                  4                         2
## 994         no                  11                  3                         2
## 995        yes                  11                  3                         2
## 996        yes                  14                  3                         1
## 997        yes                  11                  3                         4
## 998        yes                  13                  3                         4
## 999         no                  12                  3                         4
## 1000        no                  14                  3                         3
## 1001        no                  13                  3                         3
## 1002        no                  18                  3                         1
## 1003        no                  11                  3                         3
## 1004        no                  11                  3                         2
## 1005        no                  12                  3                         4
## 1006        no                  13                  3                         1
## 1007        no                  20                  4                         1
## 1008       yes                  12                  3                         1
## 1009        no                  19                  3                         4
## 1010       yes                  21                  4                         3
## 1011        no                  13                  3                         4
## 1012       yes                  16                  3                         4
## 1013        no                  12                  3                         2
## 1014        no                  14                  3                         2
## 1015        no                  11                  3                         3
## 1016        no                  14                  3                         3
## 1017        no                  12                  3                         3
## 1018        no                  14                  3                         2
## 1019        no                  16                  3                         3
## 1020        no                  13                  3                         1
## 1021        no                  12                  3                         3
## 1022        no                  12                  3                         1
## 1023        no                  14                  3                         1
## 1024        no                  22                  4                         4
## 1025        no                  19                  3                         2
## 1026       yes                  12                  3                         3
## 1027        no                  12                  3                         3
## 1028        no                  17                  3                         1
## 1029       yes                  12                  3                         1
## 1030        no                  11                  3                         3
## 1031        no                  18                  3                         1
## 1032        no                  11                  3                         1
## 1033       yes                  23                  4                         2
## 1034        no                  11                  3                         1
## 1035       yes                  18                  3                         2
## 1036        no                  18                  3                         4
## 1037       yes                  13                  3                         3
## 1038       yes                  18                  3                         4
## 1039        no                  11                  3                         1
## 1040        no                  15                  3                         4
## 1041        no                  11                  3                         3
## 1042        no                  18                  3                         4
## 1043        no                  14                  3                         4
## 1044        no                  12                  3                         2
## 1045        no                  14                  3                         2
## 1046        no                  14                  3                         3
## 1047        no                  13                  3                         3
## 1048        no                  14                  3                         1
## 1049        no                  18                  3                         4
## 1050        no                  15                  3                         3
## 1051        no                  13                  3                         3
## 1052        no                  12                  3                         3
## 1053        no                  13                  3                         2
## 1054        no                  24                  4                         1
## 1055        no                  14                  3                         2
## 1056        no                  14                  3                         4
## 1057        no                  15                  3                         4
## 1058        no                  11                  3                         1
## 1059       yes                  23                  4                         3
## 1060        no                  13                  3                         1
## 1061       yes                  11                  3                         3
## 1062        no                  13                  3                         3
## 1063       yes                  18                  3                         2
## 1064        no                  14                  3                         3
## 1065        no                  21                  4                         1
## 1066       yes                  16                  3                         2
## 1067        no                  11                  3                         4
## 1068       yes                  17                  3                         3
## 1069        no                  11                  3                         3
## 1070        no                  14                  3                         4
## 1071        no                  14                  3                         4
## 1072        no                  25                  4                         1
## 1073        no                  13                  3                         3
## 1074        no                  14                  3                         2
## 1075       yes                  17                  3                         1
## 1076        no                  25                  4                         2
## 1077        no                  20                  4                         1
## 1078        no                  13                  3                         3
## 1079        no                  13                  3                         3
## 1080        no                  18                  3                         4
## 1081        no                  12                  3                         4
## 1082        no                  19                  3                         4
## 1083        no                  14                  3                         2
## 1084        no                  14                  3                         2
## 1085       yes                  14                  3                         4
## 1086        no                  12                  3                         1
## 1087       yes                  13                  3                         4
## 1088       yes                  25                  4                         2
## 1089        no                  14                  3                         2
## 1090        no                  17                  3                         1
## 1091        no                  13                  3                         3
## 1092        no                  13                  3                         4
## 1093        no                  20                  4                         4
## 1094       yes                  14                  3                         3
## 1095        no                  12                  3                         4
## 1096       yes                  12                  3                         2
## 1097       yes                  21                  4                         4
## 1098        no                  14                  3                         2
## 1099       yes                  18                  3                         3
## 1100        no                  12                  3                         1
## 1101        no                  23                  4                         1
## 1102        no                  12                  3                         1
## 1103       yes                  21                  4                         4
## 1104        no                  14                  3                         3
## 1105        no                  18                  3                         1
## 1106        no                  13                  3                         4
## 1107        no                  11                  3                         4
## 1108        no                  11                  3                         3
## 1109        no                  19                  3                         2
## 1110        no                  12                  3                         2
## 1111       yes                  12                  3                         4
## 1112        no                  16                  3                         2
## 1113        no                  11                  3                         1
## 1114        no                  14                  3                         2
## 1115        no                  12                  3                         4
## 1116        no                  13                  3                         3
## 1117        no                  21                  4                         3
## 1118        no                  17                  3                         2
## 1119        no                  21                  4                         1
## 1120        no                  11                  3                         4
## 1121        no                  12                  3                         2
## 1122        no                  13                  3                         1
## 1123       yes                  18                  3                         4
## 1124       yes                  16                  3                         3
## 1125        no                  11                  3                         1
## 1126        no                  19                  3                         4
## 1127       yes                  16                  3                         3
## 1128        no                  16                  3                         4
## 1129       yes                  13                  3                         4
## 1130        no                  22                  4                         4
## 1131        no                  17                  3                         4
## 1132        no                  14                  3                         2
## 1133        no                  15                  3                         3
## 1134        no                  12                  3                         3
## 1135        no                  18                  3                         4
## 1136        no                  15                  3                         2
## 1137       yes                  17                  3                         3
## 1138       yes                  14                  3                         2
## 1139       yes                  15                  3                         3
## 1140        no                  17                  3                         4
## 1141       yes                  14                  3                         4
## 1142        no                  12                  3                         2
## 1143       yes                  14                  3                         1
## 1144        no                  15                  3                         1
## 1145        no                  13                  3                         4
## 1146       yes                  12                  3                         2
## 1147        no                  13                  3                         1
## 1148        no                  14                  3                         4
## 1149        no                  13                  3                         4
## 1150        no                  11                  3                         1
## 1151        no                  11                  3                         4
## 1152        no                  21                  4                         2
## 1153        no                  18                  3                         3
## 1154       yes                  12                  3                         3
## 1155        no                  11                  3                         3
## 1156        no                  15                  3                         4
## 1157        no                  13                  3                         4
## 1158        no                  12                  3                         4
## 1159        no                  17                  3                         1
## 1160        no                  13                  3                         4
## 1161        no                  19                  3                         1
## 1162       yes                  19                  3                         4
## 1163        no                  17                  3                         3
## 1164        no                  11                  3                         1
## 1165       yes                  15                  3                         4
## 1166       yes                  11                  3                         3
## 1167        no                  25                  4                         2
## 1168       yes                  14                  3                         4
## 1169       yes                  13                  3                         3
## 1170        no                  17                  3                         1
## 1171        no                  13                  3                         3
## 1172       yes                  14                  3                         2
## 1173        no                  11                  3                         3
## 1174        no                  12                  3                         3
## 1175        no                  17                  3                         3
## 1176        no                  21                  4                         3
## 1177        no                  16                  3                         2
## 1178        no                  15                  3                         3
## 1179        no                  19                  3                         1
## 1180        no                  12                  3                         3
## 1181        no                  11                  3                         3
## 1182       yes                  19                  3                         2
## 1183        no                  15                  3                         3
## 1184        no                  20                  4                         1
## 1185        no                  25                  4                         3
## 1186        no                  24                  4                         1
## 1187       yes                  24                  4                         1
## 1188        no                  15                  3                         4
## 1189       yes                  13                  3                         2
## 1190        no                  14                  3                         3
## 1191        no                  13                  3                         3
## 1192        no                  11                  3                         1
## 1193       yes                  16                  3                         2
## 1194        no                  22                  4                         2
## 1195        no                  14                  3                         3
## 1196        no                  14                  3                         1
## 1197       yes                  16                  3                         4
## 1198        no                  11                  3                         1
## 1199       yes                  25                  4                         3
## 1200        no                  14                  3                         2
## 1201       yes                  18                  3                         1
## 1202       yes                  11                  3                         1
## 1203        no                  19                  3                         4
## 1204        no                  15                  3                         3
## 1205       yes                  11                  3                         3
## 1206        no                  12                  3                         1
## 1207        no                  20                  4                         3
## 1208        no                  12                  3                         4
## 1209        no                  14                  3                         3
## 1210        no                  20                  4                         3
## 1211        no                  18                  3                         4
## 1212        no                  14                  3                         3
## 1213        no                  12                  3                         2
## 1214       yes                  21                  4                         2
## 1215       yes                  19                  3                         2
## 1216       yes                  14                  3                         3
## 1217       yes                  17                  3                         1
## 1218        no                  16                  3                         4
## 1219        no                  12                  3                         2
## 1220        no                  17                  3                         3
## 1221        no                  15                  3                         3
## 1222        no                  23                  4                         4
## 1223        no                  11                  3                         3
## 1224        no                  11                  3                         3
## 1225        no                  15                  3                         3
## 1226        no                  11                  3                         3
## 1227        no                  13                  3                         1
## 1228        no                  14                  3                         4
## 1229        no                  19                  3                         2
## 1230       yes                  16                  3                         2
## 1231        no                  13                  3                         2
## 1232        no                  14                  3                         4
## 1233        no                  16                  3                         2
## 1234        no                  12                  3                         2
## 1235        no                  11                  3                         4
## 1236       yes                  12                  3                         2
## 1237       yes                  13                  3                         2
## 1238        no                  15                  3                         2
## 1239        no                  13                  3                         3
## 1240        no                  20                  4                         4
## 1241       yes                  15                  3                         4
## 1242        no                  13                  3                         3
## 1243        no                  14                  3                         2
## 1244        no                  21                  4                         3
## 1245        no                  16                  3                         4
## 1246        no                  14                  3                         4
## 1247        no                  11                  3                         3
## 1248        no                  19                  3                         3
## 1249        no                  11                  3                         3
## 1250        no                  13                  3                         3
## 1251       yes                  12                  3                         4
## 1252        no                  11                  3                         1
## 1253       yes                  14                  3                         1
## 1254        no                  15                  3                         4
## 1255        no                  12                  3                         3
## 1256       yes                  20                  4                         3
## 1257        no                  14                  3                         2
## 1258        no                  13                  3                         1
## 1259        no                  13                  3                         3
## 1260        no                  16                  3                         3
## 1261        no                  14                  3                         2
## 1262       yes                  16                  3                         3
## 1263       yes                  16                  3                         4
## 1264        no                  22                  4                         2
## 1265        no                  12                  3                         2
## 1266        no                  15                  3                         4
## 1267        no                  20                  4                         2
## 1268       yes                  14                  3                         3
## 1269       yes                  20                  4                         4
## 1270        no                  13                  3                         2
## 1271        no                  12                  3                         1
## 1272        no                  13                  3                         2
## 1273        no                  11                  3                         2
## 1274       yes                  17                  3                         3
## 1275        no                  14                  3                         1
## 1276        no                  11                  3                         4
## 1277        no                  14                  3                         1
## 1278       yes                  17                  3                         3
## 1279       yes                  13                  3                         4
## 1280       yes                  12                  3                         3
## 1281        no                  13                  3                         3
## 1282       yes                  18                  3                         4
## 1283        no                  19                  3                         2
## 1284        no                  11                  3                         3
## 1285        no                  21                  4                         3
## 1286        no                  15                  3                         3
## 1287        no                  17                  3                         4
## 1288        no                  18                  3                         3
## 1289        no                  14                  3                         3
## 1290        no                  13                  3                         4
## 1291        no                  17                  3                         3
## 1292        no                  15                  3                         2
## 1293        no                  18                  3                         4
## 1294        no                  13                  3                         3
## 1295        no                  12                  3                         1
## 1296       yes                  13                  3                         4
## 1297        no                  14                  3                         2
## 1298       yes                  11                  3                         3
## 1299        no                  22                  4                         4
## 1300        no                  17                  3                         4
## 1301        no                  21                  4                         3
## 1302        no                  22                  4                         4
## 1303        no                  16                  3                         2
## 1304       yes                  12                  3                         3
## 1305        no                  12                  3                         2
## 1306        no                  15                  3                         2
## 1307        no                  14                  3                         4
## 1308        no                  25                  4                         3
## 1309       yes                  20                  4                         1
## 1310        no                  13                  3                         1
## 1311       yes                  14                  3                         2
## 1312        no                  16                  3                         3
## 1313        no                  17                  3                         3
## 1314       yes                  15                  3                         4
## 1315        no                  22                  4                         2
## 1316       yes                  22                  4                         4
## 1317        no                  20                  4                         3
## 1318       yes                  14                  3                         3
## 1319        no                  13                  3                         2
## 1320        no                  13                  3                         3
## 1321        no                  22                  4                         2
## 1322        no                  12                  3                         3
## 1323        no                  14                  3                         3
## 1324        no                  15                  3                         2
## 1325        no                  17                  3                         4
## 1326        no                  13                  3                         4
## 1327       yes                  12                  3                         3
## 1328        no                  12                  3                         4
## 1329        no                  21                  4                         4
## 1330        no                  11                  3                         4
## 1331        no                  13                  3                         4
## 1332        no                  12                  3                         4
## 1333       yes                  24                  4                         2
## 1334        no                  21                  4                         3
## 1335        no                  19                  3                         4
## 1336        no                  14                  3                         2
## 1337        no                  20                  4                         2
## 1338        no                  19                  3                         4
## 1339        no                  13                  3                         3
## 1340       yes                  23                  4                         1
## 1341       yes                  13                  3                         1
## 1342        no                  11                  3                         1
## 1343       yes                  13                  3                         4
## 1344        no                  14                  3                         2
## 1345       yes                  22                  4                         3
## 1346       yes                  11                  3                         4
## 1347        no                  13                  3                         4
## 1348        no                  21                  4                         4
## 1349        no                  11                  3                         1
## 1350       yes                  13                  3                         3
## 1351        no                  14                  3                         2
## 1352        no                  11                  3                         2
## 1353        no                  15                  3                         4
## 1354       yes                  23                  4                         2
## 1355        no                  16                  3                         4
## 1356        no                  16                  3                         3
## 1357        no                  21                  4                         3
## 1358        no                  13                  3                         2
## 1359       yes                  11                  3                         4
## 1360       yes                  12                  3                         3
## 1361        no                  12                  3                         2
## 1362        no                  18                  3                         1
## 1363        no                  12                  3                         3
## 1364        no                  14                  3                         2
## 1365       yes                  12                  3                         3
## 1366        no                  17                  3                         4
## 1367        no                  19                  3                         3
## 1368        no                  11                  3                         3
## 1369       yes                  15                  3                         2
## 1370       yes                  11                  3                         4
## 1371        no                  18                  3                         3
## 1372        no                  16                  3                         3
## 1373        no                  25                  4                         4
## 1374       yes                  16                  3                         3
## 1375       yes                  13                  3                         3
## 1376       yes                  14                  3                         1
## 1377        no                  19                  3                         4
## 1378        no                  15                  3                         4
## 1379       yes                  12                  3                         3
## 1380        no                  12                  3                         1
## 1381        no                  16                  3                         4
## 1382        no                  14                  3                         3
## 1383       yes                  13                  3                         4
## 1384        no                  22                  4                         2
## 1385        no                  21                  4                         1
## 1386        no                  18                  3                         3
## 1387        no                  13                  3                         4
## 1388        no                  12                  3                         1
## 1389        no                  18                  3                         2
## 1390        no                  21                  4                         2
## 1391        no                  12                  3                         1
## 1392        no                  14                  3                         1
## 1393       yes                  11                  3                         4
## 1394        no                  14                  3                         1
## 1395        no                  24                  4                         2
## 1396       yes                  11                  3                         3
## 1397       yes                  13                  3                         2
## 1398        no                  11                  3                         3
## 1399        no                  20                  4                         3
## 1400        no                  17                  3                         2
## 1401       yes                  11                  3                         2
## 1402       yes                  18                  3                         1
## 1403       yes                  11                  3                         3
## 1404        no                  12                  3                         1
## 1405        no                  12                  3                         4
## 1406        no                  20                  4                         3
## 1407       yes                  19                  3                         4
## 1408        no                  12                  3                         2
## 1409        no                  13                  3                         3
## 1410        no                  11                  3                         1
## 1411        no                  14                  3                         3
## 1412        no                  14                  3                         3
## 1413        no                  13                  3                         3
## 1414       yes                  19                  3                         3
## 1415        no                  23                  4                         2
## 1416        no                  12                  3                         3
## 1417        no                  15                  3                         1
## 1418        no                  19                  3                         3
## 1419        no                  11                  3                         4
## 1420       yes                  17                  3                         3
## 1421        no                  22                  4                         1
## 1422        no                  18                  3                         1
## 1423       yes                  11                  3                         3
## 1424        no                  12                  3                         4
## 1425        no                  19                  3                         2
## 1426       yes                  13                  3                         1
## 1427        no                  13                  3                         3
## 1428        no                  19                  3                         3
## 1429        no                  14                  3                         2
## 1430        no                  13                  3                         1
## 1431        no                  12                  3                         1
## 1432        no                  19                  3                         3
## 1433       yes                  25                  4                         1
## 1434       yes                  22                  4                         2
## 1435        no                  15                  3                         2
## 1436       yes                  12                  3                         3
## 1437       yes                  11                  3                         4
## 1438        no                  13                  3                         3
## 1439        no                  19                  3                         1
## 1440        no                  19                  3                         3
## 1441        no                  13                  3                         2
## 1442        no                  21                  4                         1
## 1443       yes                  14                  3                         2
## 1444        no                  11                  3                         1
## 1445        no                  11                  3                         4
## 1446        no                  23                  4                         3
## 1447        no                  21                  4                         4
## 1448        no                  24                  4                         1
## 1449        no                  11                  3                         3
## 1450        no                  14                  3                         4
## 1451       yes                  16                  3                         3
## 1452        no                  11                  3                         3
## 1453        no                  12                  3                         4
## 1454        no                  13                  3                         1
## 1455        no                  15                  3                         3
## 1456        no                  14                  3                         4
## 1457       yes                  14                  3                         4
## 1458        no                  14                  3                         2
## 1459        no                  12                  3                         4
## 1460       yes                  13                  3                         1
## 1461        no                  14                  3                         2
## 1462       yes                  13                  3                         2
## 1463        no                  11                  3                         1
## 1464        no                  19                  3                         2
## 1465        no                  18                  3                         4
## 1466        no                  17                  3                         3
## 1467        no                  15                  3                         1
## 1468       yes                  20                  4                         2
## 1469        no                  14                  3                         4
## 1470        no                  12                  3                         1
##      standard_hours stock_option_level total_working_years
## 1                80                  0                   8
## 2                80                  1                  10
## 3                80                  0                   7
## 4                80                  0                   8
## 5                80                  1                   6
## 6                80                  0                   8
## 7                80                  3                  12
## 8                80                  1                   1
## 9                80                  0                  10
## 10               80                  2                  17
## 11               80                  1                   6
## 12               80                  0                  10
## 13               80                  1                   5
## 14               80                  1                   3
## 15               80                  0                   6
## 16               80                  1                  10
## 17               80                  2                   7
## 18               80                  2                   1
## 19               80                  0                  31
## 20               80                  0                   6
## 21               80                  1                   5
## 22               80                  0                  10
## 23               80                  0                  13
## 24               80                  0                   0
## 25               80                  0                   8
## 26               80                  1                  26
## 27               80                  0                  10
## 28               80                  1                  10
## 29               80                  1                  24
## 30               80                  0                  22
## 31               80                  0                   7
## 32               80                  0                   9
## 33               80                  0                  10
## 34               80                  1                  19
## 35               80                  1                   6
## 36               80                  2                   6
## 37               80                  0                   3
## 38               80                  0                   2
## 39               80                  1                   6
## 40               80                  2                  10
## 41               80                  1                   1
## 42               80                  1                   1
## 43               80                  0                   1
## 44               80                  0                   9
## 45               80                  0                  12
## 46               80                  0                  23
## 47               80                  0                  10
## 48               80                  0                   8
## 49               80                  0                  14
## 50               80                  0                   1
## 51               80                  0                  23
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##      training_times_last_year work_life_balance years_at_company
## 1                           0                 1                6
## 2                           3                 3               10
## 3                           3                 3                0
## 4                           3                 3                8
## 5                           3                 3                2
## 6                           2                 2                7
## 7                           3                 2                1
## 8                           2                 3                1
## 9                           2                 3                9
## 10                          3                 2                7
## 11                          5                 3                5
## 12                          3                 3                9
## 13                          1                 2                5
## 14                          2                 3                2
## 15                          4                 3                4
## 16                          1                 3               10
## 17                          5                 2                6
## 18                          2                 2                1
## 19                          3                 3               25
## 20                          3                 3                3
## 21                          5                 2                4
## 22                          4                 3                5
## 23                          4                 3               12
## 24                          6                 3                0
## 25                          2                 3                4
## 26                          3                 2               14
## 27                          5                 3               10
## 28                          2                 3                9
## 29                          4                 3               22
## 30                          2                 2                2
## 31                          3                 3                1
## 32                          5                 4                4
## 33                          5                 3               10
## 34                          6                 4                1
## 35                          2                 2                2
## 36                          3                 2                5
## 37                          2                 3                3
## 38                          3                 3                2
## 39                          3                 4                1
## 40                          3                 3                5
## 41                          3                 3                1
## 42                          6                 3                1
## 43                          2                 2                1
## 44                          0                 3                9
## 45                          2                 3               12
## 46                          0                 3               22
## 47                          2                 3                9
## 48                          1                 3                1
## 49                          4                 3                9
## 50                          2                 3                1
## 51                          2                 3                1
## 52                          3                 2                2
## 53                          2                 2                4
## 54                          3                 3                4
## 55                          2                 2                2
## 56                          1                 3               15
## 57                          3                 2                9
## 58                          3                 3                2
## 59                          3                 2                7
## 60                          2                 4                7
## 61                          3                 3                9
## 62                          2                 3               10
## 63                          2                 2               27
## 64                          3                 2               21
## 65                          2                 3               17
## 66                          2                 3                5
## 67                          3                 3                6
## 68                          2                 3                1
## 69                          2                 2                3
## 70                          0                 2                1
## 71                          2                 2                4
## 72                          3                 3                5
## 73                          4                 3                1
## 74                          3                 3               10
## 75                          3                 3                1
## 76                          2                 3               11
## 77                          2                 3               15
## 78                          3                 4                0
## 79                          3                 4                5
## 80                          2                 3                4
## 81                          1                 2               10
## 82                          3                 3                6
## 83                          4                 3                1
## 84                          3                 3               13
## 85                          2                 3                5
## 86                          3                 2                6
## 87                          3                 3                0
## 88                          4                 3                4
## 89                          3                 3               11
## 90                          3                 3                9
## 91                          3                 2               22
## 92                          2                 1               10
## 93                          4                 2               11
## 94                          5                 2               10
## 95                          0                 3               11
## 96                          5                 1                4
## 97                          2                 2                3
## 98                          3                 4                5
## 99                          1                 2               37
## 100                         3                 4                3
## 101                         3                 3                3
## 102                         2                 3                1
## 103                         5                 3                1
## 104                         3                 3               16
## 105                         2                 4                1
## 106                         3                 3                3
## 107                         1                 2                8
## 108                         1                 3                6
## 109                         2                 3                2
## 110                         5                 3                0
## 111                         1                 2               13
## 112                         3                 3                9
## 113                         3                 3                5
## 114                         2                 3                5
## 115                         3                 3                1
## 116                         3                 3                5
## 117                         6                 3               11
## 118                         6                 3                9
## 119                         2                 3                1
## 120                         3                 4               25
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##      years_in_current_role years_since_last_promotion years_with_curr_manager
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4.2.2 Cross-Validation

Kami membagi data menjadi training set dan testing dataset, dengan 80% data akan digunakan sebagai training set.

set.seed(123)
intrain <- initial_split(attrition, prop = 0.8, strata = "attrition")

intrain
## <Analysis/Assess/Total>
## <1175/295/1470>

4.2.3 Data Preprocessing

Kami akan melakukan preprocess data dengan langkah berikut:

  • Upsample untuk meningkatkan jumlah kelas minoritas dan mencegah ketidakseimbangan kelas
  • Menskalakan semua variabel numerik
  • Hapus variabel numerik dengan varian hampir nol
  • Gunakan PCA untuk mengurangi dimensi dengan ambang 90% informasi disimpan
  • Hapus variabel over_18 karena hanya memiliki 1 level faktor
rec <- recipe(attrition ~ ., data = training(intrain)) %>% 
  themis::step_upsample(attrition) %>% 
  step_scale(all_numeric()) %>% 
  step_nzv(all_numeric()) %>% 
  step_pca(all_numeric(), threshold = 0.9) %>% 
  step_rm(over_18) %>% 
  prep()
## Registered S3 methods overwritten by 'themis':
##   method                  from   
##   bake.step_downsample    recipes
##   bake.step_upsample      recipes
##   prep.step_downsample    recipes
##   prep.step_upsample      recipes
##   tidy.step_downsample    recipes
##   tidy.step_upsample      recipes
##   tunable.step_downsample recipes
##   tunable.step_upsample   recipes
data_train <- juice(rec)
data_test <- bake(rec, testing(intrain))

data_train
## # A tibble: 1,972 x 18
##    business_travel  department education education_field environment_sat~ gender
##    <fct>            <fct>      <fct>     <fct>           <fct>            <fct> 
##  1 travel_frequent~ research_~ 4         life_sciences   4                female
##  2 travel_rarely    research_~ 1         medical         1                male  
##  3 travel_rarely    research_~ 3         medical         3                female
##  4 travel_rarely    research_~ 1         life_sciences   4                male  
##  5 travel_rarely    research_~ 3         medical         3                male  
##  6 travel_rarely    research_~ 3         medical         1                male  
##  7 travel_rarely    research_~ 2         life_sciences   4                female
##  8 travel_rarely    research_~ 1         life_sciences   1                male  
##  9 travel_rarely    research_~ 4         life_sciences   2                female
## 10 travel_rarely    research_~ 2         life_sciences   1                male  
## # ... with 1,962 more rows, and 12 more variables: job_involvement <fct>,
## #   job_role <fct>, marital_status <fct>, over_time <fct>,
## #   performance_rating <fct>, relationship_satisfaction <fct>,
## #   work_life_balance <fct>, attrition <fct>, PC1 <dbl>, PC2 <dbl>, PC3 <dbl>,
## #   PC4 <dbl>

4.2.4 Create Fitness Function

Kami akan melatih model menggunakan hutan acak. Kami akan mengoptimalkan nilai mtry (jumlah node di setiap pohon) dan nilai min_n (jumlah minimum anggota di setiap pohon untuk dipecah) dengan memaksimalkan akurasi model pada kumpulan data pengujian. Karena jumlah mtry dan min_n adalah bilangan bulat, lebih baik kita menggunakan encoding biner daripada encoding real-valued.

Kami akan mengatur rentang mtry dari 1 hingga 32. Kami akan membatasi rentang min_n dari 1 hingga 128. Mari kita periksa berapa bit yang kita perlukan untuk menutupi angka-angka itu.

# max value of mtry = 32
2^5
## [1] 32
# max value of min_n = 128
2^7
## [1] 128

Jadi, kita membutuhkan setidaknya 12 bit biner. Jika nilai konversi bit untuk mtry atau min_n adalah 0, kami mengubahnya menjadi 1.

Kami akan menulis model sebagai fungsi kebugaran. Kami akan memaksimalkan akurasi model kami pada dataset pengujian.

fit_function <- function(x){
  a <- binary2decimal(x[1:5])
  b <- binary2decimal(x[6:12])
  
  if (a == 0) {
    a <- 1
  }
  if (b == 0) {
    b <- 1
  }
  if (a > 17) {
    a <- 17
  }
  
#define model spec
model_spec <- rand_forest(
  mode = "classification",
  mtry = a,
  min_n = b,
  trees = 500)

#define model engine
model_spec <- set_engine(model_spec,
                         engine = "ranger",
                         seed = 123,
                         num.threads = parallel::detectCores(),
                         importance = "impurity")

#model fitting
set.seed(123)
model <- fit_xy(
  object = model_spec,
  x = select(data_train, -attrition),
  y = select(data_train, attrition)
)

pred_test <- predict(model, new_data = data_test %>% select(-attrition))
acc <- accuracy_vec(truth = data_test$attrition, estimate = pred_test$.pred_class)
return(acc)
}

4.2.5 Run the Algorithm

IMPORTANT Karena beberapa model memerlukan banyak waktu untuk dilatih, Anda mungkin perlu ekstra hati-hati dalam memilih ukuran populasi dan jumlah iterasi. Jika Anda tidak memiliki masalah untuk menjalankan GA dalam jangka waktu yang lama, Anda dapat memilih ukuran populasi dan jumlah iterasi yang lebih besar. Di sini saya akan mengatur ukuran populasi menjadi hanya 100 dan jumlah maksimum iterasi adalah 100. Anda dapat menggunakan parallel = TRUE jika Anda ingin komputasi yang lebih cepat dengan komputasi paralel.

Kami akan mencoba menggunakan pemilihan turnamen alih-alih pemilihan peringkat linier default.

tic()
ga_rf <- ga(type = "binary", fitness = fit_function, nBits = 12, seed = 123, 
            popSize = 100, maxiter = 100, run = 10, parallel = T, 
            selection = gabin_tourSelection)
summary(ga_rf)
## -- Genetic Algorithm ------------------- 
## 
## GA settings: 
## Type                  =  binary 
## Population size       =  100 
## Number of generations =  100 
## Elitism               =  5 
## Crossover probability =  0.8 
## Mutation probability  =  0.1 
## 
## GA results: 
## Iterations             = 13 
## Fitness function value = 0.8576271 
## Solution = 
##      x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12
## [1,]  0  0  1  0  0  0  0  0  1   1   0   1
toc()
## 1331.06 sec elapsed

Mari kita plot perkembangan GA

plot(ga_rf)

Mari kita periksa setiap variabel keputusan dan akurasi yang digunakan sebagai nilai fitness.

# Transform decision variables into data frame
ga_rf_pop <- as.data.frame(ga_rf@population)

# Convert decision variables into mtry and min_n
ga_mtry <- apply(ga_rf_pop[ , 1:5], 1, binary2decimal)
ga_min_n <- apply(ga_rf_pop[ , 6:12], 1, binary2decimal)

# Show the list of solutions in the final population
data.frame(mtry = ga_mtry,
           min_n = ga_min_n,
           accuracy = ga_rf@fitness) %>% 
  mutate(mtry = ifelse(mtry == 0, 1, mtry),
         min_n = ifelse(min_n == 0, 1, min_n),
         mtry = ifelse(mtry > 17, 17, mtry)) %>% 
  distinct() %>%
  arrange(desc(accuracy))
##   mtry min_n  accuracy
## 1    4    13 0.8576271
## 2    6    14 0.8508475
## 3    4    14 0.8508475
## 4    4    10 0.8508475
## 5    2    14 0.8508475
## 6    4     9 0.8440678
## 7    4    29 0.8305085
## 8   17    13 0.8203390
## 9    4    45 0.8101695

4.2.6 Compare with K-fold Cross Validation

Anda mungkin ingin membandingkan waktu komputasi GA dengan waktu yang diperlukan untuk validasi silang K-fold berulang menggunakan paket caret konvensional. Kami akan menggunakan k = 5 dan 10 pengulangan.

tic()
set.seed(123)
ctrl <- trainControl(method="repeatedcv", number=5, repeats=10)
attrition_forest <- train(attrition ~ ., data=data_train, method="rf", trControl = ctrl)
toc()
## 653.66 sec elapsed
attrition_forest
## Random Forest 
## 
## 1972 samples
##   17 predictor
##    2 classes: 'no', 'yes' 
## 
## No pre-processing
## Resampling: Cross-Validated (5 fold, repeated 10 times) 
## Summary of sample sizes: 1578, 1577, 1577, 1578, 1578, 1577, ... 
## Resampling results across tuning parameters:
## 
##   mtry  Accuracy   Kappa    
##    2    0.9513710  0.9027417
##   22    0.9646545  0.9293085
##   42    0.9578604  0.9157203
## 
## Accuracy was used to select the optimal model using the largest value.
## The final value used for the model was mtry = 22.

Mari kita periksa keakuratan model hutan acak dengan caret

pred_rf <- predict(attrition_forest, newdata = data_test)
accuracy_vec(truth = data_test$attrition, estimate = pred_rf)
## [1] 0.820339

Performa model oleh GA lebih baik daripada yang dioptimalkan dengan validasi silang K-fold sederhana, meskipun GA memerlukan lebih banyak waktu untuk menghitung. Pertukaran waktu komputasi vs kinerja ini harus dipertimbangkan.

5 Conclusion

Masalah optimasi adalah salah satu dari banyak perhatian dalam bisnis, yang mungkin berusaha untuk memaksimalkan keuntungan dan meminimalkan kerugian. Pembelajaran mesin menerapkan pengoptimalan pada metode model pelatihan mereka untuk mendapatkan hasil terbaik. GA merupakan algoritma optimasi yang dapat diterapkan di berbagai bidang, termasuk data science. Jika seorang ilmuwan data dapat memanfaatkan manfaat GA, ia bisa mendapatkan model yang lebih optimal dengan kinerja yang lebih baik. Kelemahan GA adalah membutuhkan waktu untuk menghitung karena termasuk dalam kelompok algoritma pencarian, di mana ia mengeksplorasi solusi yang mungkin secara efisien dibandingkan dengan pencarian acak.

6 What’s Next

Penelitian dalam algoritma evolusioner masih berkembang dalam beberapa tahun terakhir, beberapa membahas skema crossover dan mutasi terbaik, sementara yang lain meningkatkan metode. GA juga dapat diterapkan untuk optimasi multi-tujuan, di mana dua atau lebih tujuan yang saling bertentangan perlu dioptimalkan. Beberapa metode seperti NSGA-II atau SPEA2 merupakan metode GA populer yang dapat digunakan untuk melakukan optimasi multi-objektif. Banyak algoritma evolusioner multi-tujuan atau bahkan banyak-tujuan baru (yang memiliki lebih dari 3 tujuan) diturunkan dari dua metode ini1. Salah satu aplikasi yang paling menarik adalah di sektor manufaktur, terutama untuk masalah penjadwalan, di mana masalah optimasi kombinatorial yang kompleks perlu dipecahkan karena memiliki dampak yang besar terhadap produktivitas dan biaya2.

7 Reference