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Load all required library

library(readr)
#library(caret)
library(C50)
## Warning: package 'C50' was built under R version 4.3.3
library(cluster)
library(fpc)
## Warning: package 'fpc' was built under R version 4.3.3
library (cluster)
library (vegan)
## Warning: package 'vegan' was built under R version 4.3.3
## Loading required package: permute
## Warning: package 'permute' was built under R version 4.3.3
## Loading required package: lattice
## This is vegan 2.6-4
library(ggplot2)
library(tidyr)
###install.packages("corrplot")
library(corrplot)
## Warning: package 'corrplot' was built under R version 4.3.3
## corrplot 0.92 loaded
library(GGally)
## Warning: package 'GGally' was built under R version 4.3.3
## Registered S3 method overwritten by 'GGally':
##   method from   
##   +.gg   ggplot2
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(caTools)
## Warning: package 'caTools' was built under R version 4.3.3
library(rpart)
library(rattle)
## Warning: package 'rattle' was built under R version 4.3.3
## Loading required package: tibble
## Loading required package: bitops
## Rattle: A free graphical interface for data science with R.
## Version 5.5.1 Copyright (c) 2006-2021 Togaware Pty Ltd.
## Type 'rattle()' to shake, rattle, and roll your data.
library(rpart.plot)
## Warning: package 'rpart.plot' was built under R version 4.3.3
library(RColorBrewer)

#1) Select import dataset as csv from https://goo.gl/At238b

titanic_ds <- read_csv("C:/GGTUAN/DREAMS/Yankee/TSU/MSc_TSU/Spring_2024/CS-583 Data Minning/Project_Data/titanic_ds.txt")
## Rows: 1309 Columns: 14
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (8): pclass, name, sex, ticket, cabin, embarked, boat, home.dest
## dbl (6): survived, age, sibsp, parch, fare, body
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
View(titanic_ds)
#titanic <- titanic_ds

#2) Load into R into a variable called T3

T3  <- titanic_ds
str(T3)
## spc_tbl_ [1,309 × 14] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
##  $ pclass   : chr [1:1309] "1st" "1st" "1st" "1st" ...
##  $ survived : num [1:1309] 1 1 0 0 0 1 1 0 1 0 ...
##  $ name     : chr [1:1309] "Allen, Miss. Elisabeth Walton" "Allison, Master. Hudson Trevor" "Allison, Miss. Helen Loraine" "Allison, Mr. Hudson Joshua Creighton" ...
##  $ sex      : chr [1:1309] "female" "male" "female" "male" ...
##  $ age      : num [1:1309] 29 0.92 2 30 25 48 63 39 53 71 ...
##  $ sibsp    : num [1:1309] 0 1 1 1 1 0 1 0 2 0 ...
##  $ parch    : num [1:1309] 0 2 2 2 2 0 0 0 0 0 ...
##  $ ticket   : chr [1:1309] "24160" "113781" "113781" "113781" ...
##  $ fare     : num [1:1309] 211 152 152 152 152 ...
##  $ cabin    : chr [1:1309] "B5" "C22 C26" "C22 C26" "C22 C26" ...
##  $ embarked : chr [1:1309] "S" "S" "S" "S" ...
##  $ boat     : chr [1:1309] "2" "11" NA NA ...
##  $ body     : num [1:1309] NA NA NA 135 NA NA NA NA NA 22 ...
##  $ home.dest: chr [1:1309] "St Louis, MO" "Montreal, PQ / Chesterville, ON" "Montreal, PQ / Chesterville, ON" "Montreal, PQ / Chesterville, ON" ...
##  - attr(*, "spec")=
##   .. cols(
##   ..   pclass = col_character(),
##   ..   survived = col_double(),
##   ..   name = col_character(),
##   ..   sex = col_character(),
##   ..   age = col_double(),
##   ..   sibsp = col_double(),
##   ..   parch = col_double(),
##   ..   ticket = col_character(),
##   ..   fare = col_double(),
##   ..   cabin = col_character(),
##   ..   embarked = col_character(),
##   ..   boat = col_character(),
##   ..   body = col_double(),
##   ..   home.dest = col_character()
##   .. )
##  - attr(*, "problems")=<externalptr>
T3
## # A tibble: 1,309 × 14
##    pclass survived name      sex     age sibsp parch ticket  fare cabin embarked
##    <chr>     <dbl> <chr>     <chr> <dbl> <dbl> <dbl> <chr>  <dbl> <chr> <chr>   
##  1 1st           1 Allen, M… fema… 29        0     0 24160  211.  B5    S       
##  2 1st           1 Allison,… male   0.92     1     2 113781 152.  C22 … S       
##  3 1st           0 Allison,… fema…  2        1     2 113781 152.  C22 … S       
##  4 1st           0 Allison,… male  30        1     2 113781 152.  C22 … S       
##  5 1st           0 Allison,… fema… 25        1     2 113781 152.  C22 … S       
##  6 1st           1 Anderson… male  48        0     0 19952   26.6 E12   S       
##  7 1st           1 Andrews,… fema… 63        1     0 13502   78.0 D7    S       
##  8 1st           0 Andrews,… male  39        0     0 112050   0   A36   S       
##  9 1st           1 Appleton… fema… 53        2     0 11769   51.5 C101  S       
## 10 1st           0 Artagave… male  71        0     0 PC 17…  49.5 <NA>  C       
## # ℹ 1,299 more rows
## # ℹ 3 more variables: boat <chr>, body <dbl>, home.dest <chr>
#T4 <- list (T3$survived, T3$embarked, T3$age, T3$sex, T3$sibsp, T3$parch, T3$fare)
#str(T4)
#head(T4)
T5 <- data.frame(T3)
#T5

#3) Build a new dataset, titanic, by selecting these features: survived, embarked, age, sex, sibsp, parch and fare

#titanic <- list(T5$survived , T5$embarked, T5$age, T5$sex, T5$sibsp, T5$parch, T5$fare)
titanic <- data.frame(T5$survived , T5$embarked, T5$age, T5$sex, T5$sibsp, T5$parch, T5$fare)
titanic
##      T5.survived T5.embarked T5.age T5.sex T5.sibsp T5.parch  T5.fare
## 1              1           S  29.00 female        0        0 211.3375
## 2              1           S   0.92   male        1        2 151.5500
## 3              0           S   2.00 female        1        2 151.5500
## 4              0           S  30.00   male        1        2 151.5500
## 5              0           S  25.00 female        1        2 151.5500
## 6              1           S  48.00   male        0        0  26.5500
## 7              1           S  63.00 female        1        0  77.9583
## 8              0           S  39.00   male        0        0   0.0000
## 9              1           S  53.00 female        2        0  51.4792
## 10             0           C  71.00   male        0        0  49.5042
## 11             0           C  47.00   male        1        0 227.5250
## 12             1           C  18.00 female        1        0 227.5250
## 13             1           C  24.00 female        0        0  69.3000
## 14             1           S  26.00 female        0        0  78.8500
## 15             1           S  80.00   male        0        0  30.0000
## 16             0           S     NA   male        0        0  25.9250
## 17             0           C  24.00   male        0        1 247.5208
## 18             1           C  50.00 female        0        1 247.5208
## 19             1           C  32.00 female        0        0  76.2917
## 20             0           C  36.00   male        0        0  75.2417
## 21             1           S  37.00   male        1        1  52.5542
## 22             1           S  47.00 female        1        1  52.5542
## 23             1           C  26.00   male        0        0  30.0000
## 24             1           C  42.00 female        0        0 227.5250
## 25             1           S  29.00 female        0        0 221.7792
## 26             0           C  25.00   male        0        0  26.0000
## 27             1           C  25.00   male        1        0  91.0792
## 28             1           C  19.00 female        1        0  91.0792
## 29             1           S  35.00 female        0        0 135.6333
## 30             1           S  28.00   male        0        0  26.5500
## 31             0           S  45.00   male        0        0  35.5000
## 32             1           C  40.00   male        0        0  31.0000
## 33             1           S  30.00 female        0        0 164.8667
## 34             1           S  58.00 female        0        0  26.5500
## 35             0           S  42.00   male        0        0  26.5500
## 36             1           C  45.00 female        0        0 262.3750
## 37             1           S  22.00 female        0        1  55.0000
## 38             1           S     NA   male        0        0  26.5500
## 39             0           S  41.00   male        0        0  30.5000
## 40             0           C  48.00   male        0        0  50.4958
## 41             0           C     NA   male        0        0  39.6000
## 42             1           C  44.00 female        0        0  27.7208
## 43             1           S  59.00 female        2        0  51.4792
## 44             1           C  60.00 female        0        0  76.2917
## 45             1           C  41.00 female        0        0 134.5000
## 46             0           S  45.00   male        0        0  26.5500
## 47             0           S     NA   male        0        0  31.0000
## 48             1           S  42.00   male        0        0  26.2875
## 49             1           C  53.00 female        0        0  27.4458
## 50             1           C  36.00   male        0        1 512.3292
## 51             1           C  58.00 female        0        1 512.3292
## 52             0           S  33.00   male        0        0   5.0000
## 53             0           S  28.00   male        0        0  47.1000
## 54             0           S  17.00   male        0        0  47.1000
## 55             1           S  11.00   male        1        2 120.0000
## 56             1           S  14.00 female        1        2 120.0000
## 57             1           S  36.00   male        1        2 120.0000
## 58             1           S  36.00 female        1        2 120.0000
## 59             0           S  49.00   male        0        0  26.0000
## 60             1           C     NA female        0        0  27.7208
## 61             0           S  36.00   male        1        0  78.8500
## 62             1           S  76.00 female        1        0  78.8500
## 63             0           S  46.00   male        1        0  61.1750
## 64             1           S  47.00 female        1        0  61.1750
## 65             1           S  27.00   male        1        0  53.1000
## 66             1           S  33.00 female        1        0  53.1000
## 67             1           C  36.00 female        0        0 262.3750
## 68             1           S  30.00 female        0        0  86.5000
## 69             1           C  45.00   male        0        0  29.7000
## 70             1           S     NA female        0        1  55.0000
## 71             0           S     NA   male        0        0   0.0000
## 72             0           C  27.00   male        1        0 136.7792
## 73             1           C  26.00 female        1        0 136.7792
## 74             1           S  22.00 female        0        0 151.5500
## 75             0           S     NA   male        0        0  52.0000
## 76             0           S  47.00   male        0        0  25.5875
## 77             1           C  39.00 female        1        1  83.1583
## 78             0           C  37.00   male        1        1  83.1583
## 79             1           C  64.00 female        0        2  83.1583
## 80             1           S  55.00 female        2        0  25.7000
## 81             0           S     NA   male        0        0  26.5500
## 82             0           S  70.00   male        1        1  71.0000
## 83             1           S  36.00 female        0        2  71.0000
## 84             1           S  64.00 female        1        1  26.5500
## 85             0           C  39.00   male        1        0  71.2833
## 86             1           C  38.00 female        1        0  71.2833
## 87             1           S  51.00   male        0        0  26.5500
## 88             1           S  27.00   male        0        0  30.5000
## 89             1           S  33.00 female        0        0 151.5500
## 90             0           S  31.00   male        1        0  52.0000
## 91             1           S  27.00 female        1        2  52.0000
## 92             1           S  31.00   male        1        0  57.0000
## 93             1           S  17.00 female        1        0  57.0000
## 94             1           S  53.00   male        1        1  81.8583
## 95             1           S   4.00   male        0        2  81.8583
## 96             1           S  54.00 female        1        1  81.8583
## 97             0           C  50.00   male        1        0 106.4250
## 98             1           C  27.00 female        1        1 247.5208
## 99             1           C  48.00 female        1        0 106.4250
## 100            1           C  48.00 female        1        0  39.6000
## 101            1           C  49.00   male        1        0  56.9292
## 102            0           C  39.00   male        0        0  29.7000
## 103            1           C  23.00 female        0        1  83.1583
## 104            1           C  38.00 female        0        0 227.5250
## 105            1           C  54.00 female        1        0  78.2667
## 106            0           C  36.00 female        0        0  31.6792
## 107            0           S     NA   male        0        0 221.7792
## 108            1           S     NA female        0        0  31.6833
## 109            1           C     NA female        0        0 110.8833
## 110            1           S  36.00   male        0        0  26.3875
## 111            0           C  30.00   male        0        0  27.7500
## 112            1           S  24.00 female        3        2 263.0000
## 113            1           S  28.00 female        3        2 263.0000
## 114            1           S  23.00 female        3        2 263.0000
## 115            0           S  19.00   male        3        2 263.0000
## 116            0           S  64.00   male        1        4 263.0000
## 117            1           S  60.00 female        1        4 263.0000
## 118            1           C  30.00 female        0        0  56.9292
## 119            0           S     NA   male        0        0  26.5500
## 120            1           S  50.00   male        2        0 133.6500
## 121            1           C  43.00   male        1        0  27.7208
## 122            1           S     NA female        1        0 133.6500
## 123            1           C  22.00 female        0        2  49.5000
## 124            1           C  60.00   male        1        1  79.2000
## 125            1           C  48.00 female        1        1  79.2000
## 126            0           S     NA   male        0        0   0.0000
## 127            0           S  37.00   male        1        0  53.1000
## 128            1           S  35.00 female        1        0  53.1000
## 129            0           S  47.00   male        0        0  38.5000
## 130            1           C  35.00 female        0        0 211.5000
## 131            1           C  22.00 female        0        1  59.4000
## 132            1           C  45.00 female        0        1  59.4000
## 133            0           C  24.00   male        0        0  79.2000
## 134            1           C  49.00   male        1        0  89.1042
## 135            1           C     NA female        1        0  89.1042
## 136            0           C  71.00   male        0        0  34.6542
## 137            1           C  53.00   male        0        0  28.5000
## 138            1           S  19.00 female        0        0  30.0000
## 139            0           S  38.00   male        0        1 153.4625
## 140            1           S  58.00 female        0        1 153.4625
## 141            1           C  23.00   male        0        1  63.3583
## 142            1           C  45.00 female        0        1  63.3583
## 143            0           C  46.00   male        0        0  79.2000
## 144            1           C  25.00   male        1        0  55.4417
## 145            1           C  25.00 female        1        0  55.4417
## 146            1           C  48.00   male        1        0  76.7292
## 147            1           C  49.00 female        1        0  76.7292
## 148            0           S     NA   male        0        0  42.4000
## 149            0           S  45.00   male        1        0  83.4750
## 150            1           S  35.00 female        1        0  83.4750
## 151            0           S  40.00   male        0        0   0.0000
## 152            1           C  27.00   male        0        0  76.7292
## 153            1           S     NA   male        0        0  30.0000
## 154            1           C  24.00 female        0        0  83.1583
## 155            0           S  55.00   male        1        1  93.5000
## 156            1           S  52.00 female        1        1  93.5000
## 157            0           S  42.00   male        0        0  42.5000
## 158            0           S     NA   male        0        0  51.8625
## 159            0           S  55.00   male        0        0  50.0000
## 160            1           C  16.00 female        0        1  57.9792
## 161            1           C  44.00 female        0        1  57.9792
## 162            1           S  51.00 female        1        0  77.9583
## 163            0           S  42.00   male        1        0  52.0000
## 164            1           S  35.00 female        1        0  52.0000
## 165            1           C  35.00   male        0        0  26.5500
## 166            1           S  38.00   male        1        0  90.0000
## 167            0           C     NA   male        0        0  30.6958
## 168            1           S  35.00 female        1        0  90.0000
## 169            1        <NA>  38.00 female        0        0  80.0000
## 170            0           C  50.00 female        0        0  28.7125
## 171            1           S  49.00   male        0        0   0.0000
## 172            0           S  46.00   male        0        0  26.0000
## 173            0           S  50.00   male        0        0  26.0000
## 174            0           C  32.50   male        0        0 211.5000
## 175            0           C  58.00   male        0        0  29.7000
## 176            0           S  41.00   male        1        0  51.8625
## 177            1           S     NA female        1        0  51.8625
## 178            1           S  42.00   male        1        0  52.5542
## 179            1           S  45.00 female        1        0  52.5542
## 180            0           S     NA   male        0        0  26.5500
## 181            1           S  39.00 female        0        0 211.3375
## 182            1           S  49.00 female        0        0  25.9292
## 183            1           C  30.00 female        0        0 106.4250
## 184            1           C  35.00   male        0        0 512.3292
## 185            0           C     NA   male        0        0  27.7208
## 186            0           S  42.00   male        0        0  26.5500
## 187            1           C  55.00 female        0        0  27.7208
## 188            1           S  16.00 female        0        1  39.4000
## 189            1           S  51.00 female        0        1  39.4000
## 190            0           S  29.00   male        0        0  30.0000
## 191            1           S  21.00 female        0        0  77.9583
## 192            0           S  30.00   male        0        0  45.5000
## 193            1           C  58.00 female        0        0 146.5208
## 194            1           S  15.00 female        0        1 211.3375
## 195            0           S  30.00   male        0        0  26.0000
## 196            1           S  16.00 female        0        0  86.5000
## 197            1           C     NA   male        0        0  29.7000
## 198            0           S  19.00   male        1        0  53.1000
## 199            1           S  18.00 female        1        0  53.1000
## 200            1           C  24.00 female        0        0  49.5042
## 201            0           C  46.00   male        0        0  75.2417
## 202            0           S  54.00   male        0        0  51.8625
## 203            1           S  36.00   male        0        0  26.2875
## 204            0           C  28.00   male        1        0  82.1708
## 205            1           C     NA female        1        0  82.1708
## 206            0           S  65.00   male        0        0  26.5500
## 207            0           Q  44.00   male        2        0  90.0000
## 208            1           Q  33.00 female        1        0  90.0000
## 209            1           Q  37.00 female        1        0  90.0000
## 210            1           C  30.00   male        1        0  57.7500
## 211            0           S  55.00   male        0        0  30.5000
## 212            0           S  47.00   male        0        0  42.4000
## 213            0           C  37.00   male        0        1  29.7000
## 214            1           C  31.00 female        1        0 113.2750
## 215            1           C  23.00 female        1        0 113.2750
## 216            0           C  58.00   male        0        2 113.2750
## 217            1           S  19.00 female        0        2  26.2833
## 218            0           S  64.00   male        0        0  26.0000
## 219            1           C  39.00 female        0        0 108.9000
## 220            1           C     NA   male        0        0  25.7417
## 221            1           C  22.00 female        0        1  61.9792
## 222            0           C  65.00   male        0        1  61.9792
## 223            0           C  28.50   male        0        0  27.7208
## 224            0           S     NA   male        0        0   0.0000
## 225            0           S  45.50   male        0        0  28.5000
## 226            0           S  23.00   male        0        0  93.5000
## 227            0           S  29.00   male        1        0  66.6000
## 228            1           S  22.00 female        1        0  66.6000
## 229            0           C  18.00   male        1        0 108.9000
## 230            1           C  17.00 female        1        0 108.9000
## 231            1           S  30.00 female        0        0  93.5000
## 232            1           S  52.00   male        0        0  30.5000
## 233            0           S  47.00   male        0        0  52.0000
## 234            1           C  56.00 female        0        1  83.1583
## 235            0           S  38.00   male        0        0   0.0000
## 236            1           S     NA   male        0        0  39.6000
## 237            0           C  22.00   male        0        0 135.6333
## 238            0           C     NA   male        0        0 227.5250
## 239            1           S  43.00 female        0        1 211.3375
## 240            0           S  31.00   male        0        0  50.4958
## 241            1           S  45.00   male        0        0  26.5500
## 242            0           S     NA   male        0        0  50.0000
## 243            1           C  33.00 female        0        0  27.7208
## 244            0           C  46.00   male        0        0  79.2000
## 245            0           C  36.00   male        0        0  40.1250
## 246            1           S  33.00 female        0        0  86.5000
## 247            0           C  55.00   male        1        0  59.4000
## 248            1           C  54.00 female        1        0  59.4000
## 249            0           S  33.00   male        0        0  26.5500
## 250            1           C  13.00   male        2        2 262.3750
## 251            1           C  18.00 female        2        2 262.3750
## 252            1           C  21.00 female        2        2 262.3750
## 253            0           C  61.00   male        1        3 262.3750
## 254            1           C  48.00 female        1        3 262.3750
## 255            1           S     NA   male        0        0  30.5000
## 256            1           C  24.00 female        0        0  69.3000
## 257            1           S     NA   male        0        0  26.0000
## 258            1           C  35.00 female        1        0  57.7500
## 259            1           C  30.00 female        0        0  31.0000
## 260            1           S  34.00   male        0        0  26.5500
## 261            1           S  40.00 female        0        0 153.4625
## 262            1           S  35.00   male        0        0  26.2875
## 263            0           S  50.00   male        1        0  55.9000
## 264            1           S  39.00 female        1        0  55.9000
## 265            1           C  56.00   male        0        0  35.5000
## 266            1           S  28.00   male        0        0  35.5000
## 267            0           S  56.00   male        0        0  26.5500
## 268            0           C  56.00   male        0        0  30.6958
## 269            0           S  24.00   male        1        0  60.0000
## 270            0           S     NA   male        0        0  26.0000
## 271            1           S  18.00 female        1        0  60.0000
## 272            1           S  24.00   male        1        0  82.2667
## 273            1           S  23.00 female        1        0  82.2667
## 274            1           C   6.00   male        0        2 134.5000
## 275            1           C  45.00   male        1        1 134.5000
## 276            1           C  40.00 female        1        1 134.5000
## 277            0           C  57.00   male        1        0 146.5208
## 278            1           C     NA female        1        0 146.5208
## 279            1           C  32.00   male        0        0  30.5000
## 280            0           S  62.00   male        0        0  26.5500
## 281            1           C  54.00   male        1        0  55.4417
## 282            1           C  43.00 female        1        0  55.4417
## 283            1           C  52.00 female        1        0  78.2667
## 284            0           C     NA   male        0        0  27.7208
## 285            1        <NA>  62.00 female        0        0  80.0000
## 286            0           S  67.00   male        1        0 221.7792
## 287            0           S  63.00 female        1        0 221.7792
## 288            0           S  61.00   male        0        0  32.3208
## 289            1           S  48.00 female        0        0  25.9292
## 290            1           S  18.00 female        0        2  79.6500
## 291            0           S  52.00   male        1        1  79.6500
## 292            1           S  39.00 female        1        1  79.6500
## 293            1           S  48.00   male        1        0  52.0000
## 294            1           S     NA female        1        0  52.0000
## 295            0           C  49.00   male        1        1 110.8833
## 296            1           C  17.00   male        0        2 110.8833
## 297            1           C  39.00 female        1        1 110.8833
## 298            1           C     NA female        0        0  79.2000
## 299            1           C  31.00   male        0        0  28.5375
## 300            0           C  40.00   male        0        0  27.7208
## 301            0           S  61.00   male        0        0  33.5000
## 302            0           S  47.00   male        0        0  34.0208
## 303            1           C  35.00 female        0        0 512.3292
## 304            0           C  64.00   male        1        0  75.2500
## 305            1           C  60.00 female        1        0  75.2500
## 306            0           S  60.00   male        0        0  26.5500
## 307            0           S  54.00   male        0        1  77.2875
## 308            0           S  21.00   male        0        1  77.2875
## 309            1           C  55.00 female        0        0 135.6333
## 310            1           S  31.00 female        0        2 164.8667
## 311            0           S  57.00   male        1        1 164.8667
## 312            1           S  45.00 female        1        1 164.8667
## 313            0           C  50.00   male        1        1 211.5000
## 314            0           C  27.00   male        0        2 211.5000
## 315            1           C  50.00 female        1        1 211.5000
## 316            1           S  21.00 female        0        0  26.5500
## 317            0           C  51.00   male        0        1  61.3792
## 318            1           C  21.00   male        0        1  61.3792
## 319            0           S     NA   male        0        0  35.0000
## 320            1           C  31.00 female        0        0 134.5000
## 321            1           S     NA   male        0        0  35.5000
## 322            0           S  62.00   male        0        0  26.5500
## 323            1           C  36.00 female        0        0 135.6333
## 324            0           C  30.00   male        1        0  24.0000
## 325            1           C  28.00 female        1        0  24.0000
## 326            0           S  30.00   male        0        0  13.0000
## 327            0           S  18.00   male        0        0  11.5000
## 328            0           S  25.00   male        0        0  10.5000
## 329            0           S  34.00   male        1        0  26.0000
## 330            1           S  36.00 female        1        0  26.0000
## 331            0           S  57.00   male        0        0  13.0000
## 332            0           S  18.00   male        0        0  11.5000
## 333            0           S  23.00   male        0        0  10.5000
## 334            1           S  36.00 female        0        0  13.0000
## 335            0           S  28.00   male        0        0  10.5000
## 336            0           S  51.00   male        0        0  12.5250
## 337            1           S  32.00   male        1        0  26.0000
## 338            1           S  19.00 female        1        0  26.0000
## 339            0           S  28.00   male        0        0  26.0000
## 340            1           S   1.00   male        2        1  39.0000
## 341            1           S   4.00 female        2        1  39.0000
## 342            1           S  12.00 female        2        1  39.0000
## 343            1           S  36.00 female        0        3  39.0000
## 344            1           S  34.00   male        0        0  13.0000
## 345            1           S  19.00 female        0        0  13.0000
## 346            0           S  23.00   male        0        0  13.0000
## 347            0           S  26.00   male        0        0  13.0000
## 348            0           S  42.00   male        0        0  13.0000
## 349            0           S  27.00   male        0        0  13.0000
## 350            1           S  24.00 female        0        0  13.0000
## 351            1           S  15.00 female        0        2  39.0000
## 352            0           S  60.00   male        1        1  39.0000
## 353            1           S  40.00 female        1        1  39.0000
## 354            1           S  20.00 female        1        0  26.0000
## 355            0           S  25.00   male        1        0  26.0000
## 356            1           S  36.00 female        0        0  13.0000
## 357            0           S  25.00   male        0        0  13.0000
## 358            0           S  42.00   male        0        0  13.0000
## 359            1           S  42.00 female        0        0  13.0000
## 360            1           S   0.83   male        0        2  29.0000
## 361            1           S  26.00   male        1        1  29.0000
## 362            1           S  22.00 female        1        1  29.0000
## 363            1           S  35.00 female        0        0  21.0000
## 364            0           S     NA   male        0        0   0.0000
## 365            0           S  19.00   male        0        0  13.0000
## 366            0           S  44.00 female        1        0  26.0000
## 367            0           S  54.00   male        1        0  26.0000
## 368            0           S  52.00   male        0        0  13.5000
## 369            0           S  37.00   male        1        0  26.0000
## 370            0           S  29.00 female        1        0  26.0000
## 371            1           S  25.00 female        1        1  30.0000
## 372            1           S  45.00 female        0        2  30.0000
## 373            0           S  29.00   male        1        0  26.0000
## 374            1           S  28.00 female        1        0  26.0000
## 375            0           S  29.00   male        0        0  10.5000
## 376            0           S  28.00   male        0        0  13.0000
## 377            1           S  24.00   male        0        0  10.5000
## 378            1           S   8.00 female        0        2  26.2500
## 379            0           S  31.00   male        1        1  26.2500
## 380            1           S  31.00 female        1        1  26.2500
## 381            1           S  22.00 female        0        0  10.5000
## 382            0           S  30.00 female        0        0  13.0000
## 383            0           S     NA female        0        0  21.0000
## 384            0           S  21.00   male        0        0  11.5000
## 385            0           S     NA   male        0        0   0.0000
## 386            1           S   8.00   male        1        1  36.7500
## 387            0           S  18.00   male        0        0  73.5000
## 388            1           S  48.00 female        0        2  36.7500
## 389            1           S  28.00 female        0        0  13.0000
## 390            0           S  32.00   male        0        0  13.0000
## 391            0           S  17.00   male        0        0  73.5000
## 392            0           C  29.00   male        1        0  27.7208
## 393            1           C  24.00 female        1        0  27.7208
## 394            0           S  25.00   male        0        0  31.5000
## 395            0           S  18.00   male        0        0  73.5000
## 396            1           S  18.00 female        0        1  23.0000
## 397            1           S  34.00 female        0        1  23.0000
## 398            0           S  54.00   male        0        0  26.0000
## 399            1           S   8.00   male        0        2  32.5000
## 400            0           S  42.00   male        1        1  32.5000
## 401            1           S  34.00 female        1        1  32.5000
## 402            1           C  27.00 female        1        0  13.8583
## 403            1           C  30.00 female        1        0  13.8583
## 404            0           S  23.00   male        0        0  13.0000
## 405            0           S  21.00   male        0        0  13.0000
## 406            0           S  18.00   male        0        0  13.0000
## 407            0           S  40.00   male        1        0  26.0000
## 408            1           S  29.00 female        1        0  26.0000
## 409            0           S  18.00   male        0        0  10.5000
## 410            0           S  36.00   male        0        0  13.0000
## 411            0           S     NA   male        0        0   0.0000
## 412            0           S  38.00 female        0        0  13.0000
## 413            0           S  35.00   male        0        0  26.0000
## 414            0           S  38.00   male        1        0  21.0000
## 415            0           S  34.00   male        1        0  21.0000
## 416            1           S  34.00 female        0        0  13.0000
## 417            0           S  16.00   male        0        0  26.0000
## 418            0           S  26.00   male        0        0  10.5000
## 419            0           S  47.00   male        0        0  10.5000
## 420            0           S  21.00   male        1        0  11.5000
## 421            0           S  21.00   male        1        0  11.5000
## 422            0           S  24.00   male        0        0  13.5000
## 423            0           S  24.00   male        0        0  13.0000
## 424            0           S  34.00   male        0        0  13.0000
## 425            0           S  30.00   male        0        0  13.0000
## 426            0           S  52.00   male        0        0  13.0000
## 427            0           S  30.00   male        0        0  13.0000
## 428            1           S   0.67   male        1        1  14.5000
## 429            1           S  24.00 female        0        2  14.5000
## 430            0           S  44.00   male        0        0  13.0000
## 431            1           S   6.00 female        0        1  33.0000
## 432            0           S  28.00   male        0        1  33.0000
## 433            1           S  62.00   male        0        0  10.5000
## 434            0           S  30.00   male        0        0  10.5000
## 435            1           S   7.00 female        0        2  26.2500
## 436            0           S  43.00   male        1        1  26.2500
## 437            1           S  45.00 female        1        1  26.2500
## 438            1           S  24.00 female        1        2  65.0000
## 439            1           S  24.00 female        1        2  65.0000
## 440            0           S  49.00   male        1        2  65.0000
## 441            1           S  48.00 female        1        2  65.0000
## 442            1           S  55.00 female        0        0  16.0000
## 443            0           S  24.00   male        2        0  73.5000
## 444            0           S  32.00   male        2        0  73.5000
## 445            0           S  21.00   male        2        0  73.5000
## 446            0           S  18.00 female        1        1  13.0000
## 447            1           S  20.00 female        2        1  23.0000
## 448            0           S  23.00   male        2        1  11.5000
## 449            0           S  36.00   male        0        0  13.0000
## 450            1           S  54.00 female        1        3  23.0000
## 451            0           S  50.00   male        0        0  13.0000
## 452            0           S  44.00   male        1        0  26.0000
## 453            1           S  29.00 female        1        0  26.0000
## 454            0           S  21.00   male        0        0  73.5000
## 455            1           S  42.00   male        0        0  13.0000
## 456            0           S  63.00   male        1        0  26.0000
## 457            0           S  60.00 female        1        0  26.0000
## 458            0           S  33.00   male        0        0  12.2750
## 459            1           S  17.00 female        0        0  10.5000
## 460            0           S  42.00   male        1        0  27.0000
## 461            1           S  24.00 female        2        1  27.0000
## 462            0           S  47.00   male        0        0  15.0000
## 463            0           S  24.00   male        2        0  31.5000
## 464            0           S  22.00   male        2        0  31.5000
## 465            0           S  32.00   male        0        0  10.5000
## 466            1           C  23.00 female        0        0  13.7917
## 467            0           S  34.00   male        1        0  26.0000
## 468            1           S  24.00 female        1        0  26.0000
## 469            0           S  22.00 female        0        0  21.0000
## 470            1           Q     NA female        0        0  12.3500
## 471            0           Q  35.00   male        0        0  12.3500
## 472            1           S  45.00 female        0        0  13.5000
## 473            0           Q  57.00   male        0        0  12.3500
## 474            0           S     NA   male        0        0   0.0000
## 475            0           S  31.00   male        0        0  10.5000
## 476            0           S  26.00 female        1        1  26.0000
## 477            0           S  30.00   male        1        1  26.0000
## 478            0           Q     NA   male        0        0  10.7083
## 479            1           C   1.00 female        1        2  41.5792
## 480            1           C   3.00 female        1        2  41.5792
## 481            0           C  25.00   male        1        2  41.5792
## 482            1           C  22.00 female        1        2  41.5792
## 483            1           C  17.00 female        0        0  12.0000
## 484            1           S     NA female        0        0  33.0000
## 485            1           S  34.00 female        0        0  10.5000
## 486            0           C  36.00   male        0        0  12.8750
## 487            0           S  24.00   male        0        0  10.5000
## 488            0           Q  61.00   male        0        0  12.3500
## 489            0           S  50.00   male        1        0  26.0000
## 490            1           S  42.00 female        1        0  26.0000
## 491            0           S  57.00 female        0        0  10.5000
## 492            0           C     NA   male        0        0  15.0458
## 493            1           C   1.00   male        0        2  37.0042
## 494            0           C  31.00   male        1        1  37.0042
## 495            1           C  24.00 female        1        1  37.0042
## 496            0           C     NA   male        0        0  15.5792
## 497            0           S  30.00   male        0        0  13.0000
## 498            0           S  40.00   male        0        0  16.0000
## 499            0           S  32.00   male        0        0  13.5000
## 500            0           S  30.00   male        0        0  13.0000
## 501            0           S  46.00   male        0        0  26.0000
## 502            1           S  13.00 female        0        1  19.5000
## 503            1           S  41.00 female        0        1  19.5000
## 504            1           S  19.00   male        0        0  10.5000
## 505            0           S  39.00   male        0        0  13.0000
## 506            0           S  48.00   male        0        0  13.0000
## 507            0           S  70.00   male        0        0  10.5000
## 508            0           S  27.00   male        0        0  13.0000
## 509            0           S  54.00   male        0        0  14.0000
## 510            0           S  39.00   male        0        0  26.0000
## 511            0           S  16.00   male        0        0  10.5000
## 512            0           Q  62.00   male        0        0   9.6875
## 513            0           C  32.50   male        1        0  30.0708
## 514            1           C  14.00 female        1        0  30.0708
## 515            1           S   2.00   male        1        1  26.0000
## 516            1           S   3.00   male        1        1  26.0000
## 517            0           S  36.50   male        0        2  26.0000
## 518            0           S  26.00   male        0        0  13.0000
## 519            0           S  19.00   male        1        1  36.7500
## 520            0           S  28.00   male        0        0  13.5000
## 521            1           C  20.00   male        0        0  13.8625
## 522            1           S  29.00 female        0        0  10.5000
## 523            0           S  39.00   male        0        0  13.0000
## 524            1           S  22.00   male        0        0  10.5000
## 525            1           C     NA   male        0        0  13.8625
## 526            0           S  23.00   male        0        0  10.5000
## 527            1           C  29.00   male        0        0  13.8583
## 528            0           S  28.00   male        0        0  10.5000
## 529            0           S     NA   male        0        0   0.0000
## 530            1           S  50.00 female        0        1  26.0000
## 531            0           S  19.00   male        0        0  10.5000
## 532            0           C     NA   male        0        0  15.0500
## 533            0           S  41.00   male        0        0  13.0000
## 534            1           S  21.00 female        0        1  21.0000
## 535            1           S  19.00 female        0        0  26.0000
## 536            0           S  43.00   male        0        1  21.0000
## 537            1           S  32.00 female        0        0  13.0000
## 538            0           S  34.00   male        0        0  13.0000
## 539            1           C  30.00   male        0        0  12.7375
## 540            0           C  27.00   male        0        0  15.0333
## 541            1           S   2.00 female        1        1  26.0000
## 542            1           S   8.00 female        1        1  26.0000
## 543            1           S  33.00 female        0        2  26.0000
## 544            0           S  36.00   male        0        0  10.5000
## 545            0           S  34.00   male        1        0  21.0000
## 546            1           S  30.00 female        3        0  21.0000
## 547            1           S  28.00 female        0        0  13.0000
## 548            0           C  23.00   male        0        0  15.0458
## 549            1           S   0.83   male        1        1  18.7500
## 550            1           S   3.00   male        1        1  18.7500
## 551            1           S  24.00 female        2        3  18.7500
## 552            1           S  50.00 female        0        0  10.5000
## 553            0           S  19.00   male        0        0  10.5000
## 554            1           S  21.00 female        0        0  10.5000
## 555            0           S  26.00   male        0        0  13.0000
## 556            0           S  25.00   male        0        0  13.0000
## 557            0           S  27.00   male        0        0  26.0000
## 558            1           S  25.00 female        0        1  26.0000
## 559            1           S  18.00 female        0        2  13.0000
## 560            1           S  20.00 female        0        0  36.7500
## 561            1           S  30.00 female        0        0  13.0000
## 562            0           S  59.00   male        0        0  13.5000
## 563            1           Q  30.00 female        0        0  12.3500
## 564            0           S  35.00   male        0        0  10.5000
## 565            1           S  40.00 female        0        0  13.0000
## 566            0           S  25.00   male        0        0  13.0000
## 567            0           C  41.00   male        0        0  15.0458
## 568            0           S  25.00   male        0        0  10.5000
## 569            0           S  18.50   male        0        0  13.0000
## 570            0           S  14.00   male        0        0  65.0000
## 571            1           S  50.00 female        0        0  10.5000
## 572            0           S  23.00   male        0        0  13.0000
## 573            1           S  28.00 female        0        0  12.6500
## 574            1           S  27.00 female        0        0  10.5000
## 575            0           S  29.00   male        1        0  21.0000
## 576            0           S  27.00 female        1        0  21.0000
## 577            0           S  40.00   male        0        0  13.0000
## 578            1           S  31.00 female        0        0  21.0000
## 579            0           S  30.00   male        1        0  21.0000
## 580            0           S  23.00   male        1        0  10.5000
## 581            1           S  31.00 female        0        0  21.0000
## 582            0           S     NA   male        0        0   0.0000
## 583            1           S  12.00 female        0        0  15.7500
## 584            1           S  40.00 female        0        0  15.7500
## 585            1           S  32.50 female        0        0  13.0000
## 586            0           S  27.00   male        1        0  26.0000
## 587            1           S  29.00 female        1        0  26.0000
## 588            1           S   2.00   male        1        1  23.0000
## 589            1           S   4.00 female        1        1  23.0000
## 590            1           S  29.00 female        0        2  23.0000
## 591            1           S   0.92 female        1        2  27.7500
## 592            1           S   5.00 female        1        2  27.7500
## 593            0           S  36.00   male        1        2  27.7500
## 594            1           S  33.00 female        1        2  27.7500
## 595            0           S  66.00   male        0        0  10.5000
## 596            0           S     NA   male        0        0  12.8750
## 597            1           S  31.00   male        0        0  13.0000
## 598            1           S     NA   male        0        0  13.0000
## 599            1           S  26.00 female        0        0  13.5000
## 600            0           S  24.00 female        0        0  13.0000
## 601            0           S  42.00   male        0        0   7.5500
## 602            0           S  13.00   male        0        2  20.2500
## 603            0           S  16.00   male        1        1  20.2500
## 604            1           S  35.00 female        1        1  20.2500
## 605            1           S  16.00 female        0        0   7.6500
## 606            1           S  25.00   male        0        0   7.6500
## 607            1           S  20.00   male        0        0   7.9250
## 608            1           C  18.00 female        0        0   7.2292
## 609            0           S  30.00   male        0        0   7.2500
## 610            0           S  26.00   male        0        0   8.0500
## 611            0           S  40.00 female        1        0   9.4750
## 612            1           S   0.83   male        0        1   9.3500
## 613            1           S  18.00 female        0        1   9.3500
## 614            1           C  26.00   male        0        0  18.7875
## 615            0           S  26.00   male        0        0   7.8875
## 616            0           S  20.00   male        0        0   7.9250
## 617            0           S  24.00   male        0        0   7.0500
## 618            0           S  25.00   male        0        0   7.0500
## 619            0           S  35.00   male        0        0   8.0500
## 620            0           S  18.00   male        0        0   8.3000
## 621            0           S  32.00   male        0        0  22.5250
## 622            1           S  19.00 female        1        0   7.8542
## 623            0           S   4.00   male        4        2  31.2750
## 624            0           S   6.00 female        4        2  31.2750
## 625            0           S   2.00 female        4        2  31.2750
## 626            1           S  17.00 female        4        2   7.9250
## 627            0           S  38.00 female        4        2   7.7750
## 628            0           S   9.00 female        4        2  31.2750
## 629            0           S  11.00 female        4        2  31.2750
## 630            0           S  39.00   male        1        5  31.2750
## 631            1           S  27.00   male        0        0   7.7958
## 632            0           S  26.00   male        0        0   7.7750
## 633            0           S  39.00 female        1        5  31.2750
## 634            0           S  20.00   male        0        0   7.8542
## 635            0           S  26.00   male        0        0   7.8958
## 636            0           S  25.00   male        1        0  17.8000
## 637            0           S  18.00 female        1        0  17.8000
## 638            0           S  24.00   male        0        0   7.7750
## 639            0           S  35.00   male        0        0   7.0500
## 640            0           S   5.00   male        4        2  31.3875
## 641            0           S   9.00   male        4        2  31.3875
## 642            1           S   3.00   male        4        2  31.3875
## 643            0           S  13.00   male        4        2  31.3875
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## 671            0           S  26.00   male        0        0   7.7750
## 672            0           S  22.00   male        0        0   9.3500
## 673            0           C     NA   male        0        0   7.2292
## 674            0           C  20.00   male        0        0   4.0125
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## 680            0           C   9.00 female        1        1  15.2458
## 681            0           C     NA   male        0        0   7.2250
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## 704            0           Q  21.00   male        0        0   7.7500
## 705            0           S  21.00   male        0        0   8.0500
## 706            0           C     NA   male        1        0  14.4583
## 707            0           C     NA female        1        0  14.4583
## 708            0           S  28.00   male        0        0   7.7958
## 709            0           S  24.00   male        0        0   7.8542
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## 731            0           S  27.00   male        0        0   7.8958
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## 735            1           S   3.00   male        1        1  15.9000
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## 738            0           S  19.00   male        0        0   8.1583
## 739            1           S  17.00 female        0        1  16.1000
## 740            0           S  44.00   male        0        1  16.1000
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## 742            0           C  22.50   male        0        0   7.2250
## 743            1           S  45.00   male        0        0   8.0500
## 744            0           S  22.00 female        0        0  10.5167
## 745            0           S  19.00   male        0        0  10.1708
## 746            1           Q  30.00 female        0        0   6.9500
## 747            1           Q  29.00   male        0        0   7.7500
## 748            0           S   0.33   male        0        2  14.4000
## 749            0           S  34.00   male        1        1  14.4000
## 750            0           S  28.00 female        1        1  14.4000
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## 755            0           S  21.00   male        2        0  24.1500
## 756            0           S  17.00   male        2        0   8.0500
## 757            0           S     NA   male        1        0  16.1000
## 758            1           S     NA female        1        0  16.1000
## 759            1           S  36.50   male        1        0  17.4000
## 760            1           S  36.00 female        1        0  17.4000
## 761            1           S  30.00   male        0        0   9.5000
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## 766            1           S  33.00 female        1        2  20.5750
## 767            0           S  25.00   male        0        0   7.8958
## 768            0           S     NA   male        0        0   7.8958
## 769            0           S     NA   male        0        0   7.8958
## 770            0           S  22.00   male        0        0   7.2500
## 771            0           S  36.00   male        0        0   7.2500
## 772            1           Q  19.00 female        0        0   7.8792
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## 774            0           S  42.00   male        0        0   8.6625
## 775            0           S  43.00   male        0        0   7.8958
## 776            0           C     NA   male        0        0   7.2292
## 777            0           Q  32.00   male        0        0   7.7500
## 778            1           S  19.00   male        0        0   8.0500
## 779            1           S  30.00 female        0        0  12.4750
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## 782            0           C  33.00   male        0        0   7.8958
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## 788            0           S  16.00   male        0        0   7.7750
## 789            0           S  45.00   male        0        0   6.9750
## 790            0           C     NA   male        0        0   7.2250
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## 793            0           C  15.00   male        1        1   7.2292
## 794            0           S  47.00   male        0        0   7.2500
## 795            1           S   5.00 female        0        0  12.4750
## 796            0           C     NA   male        0        0   7.2250
## 797            0           S  40.50   male        0        0  15.1000
## 798            0           Q  40.50   male        0        0   7.7500
## 799            1           S     NA   male        0        0   7.0500
## 800            0           S  18.00   male        0        0   7.7958
## 801            0           Q     NA female        0        0   7.7500
## 802            0           Q     NA   male        0        0   7.7500
## 803            0           Q     NA   male        0        0   6.9500
## 804            0           Q  26.00   male        0        0   7.8792
## 805            0           Q     NA   male        0        0   7.7500
## 806            1           S     NA   male        0        0  56.4958
## 807            0           S  21.00 female        2        2  34.3750
## 808            0           S   9.00 female        2        2  34.3750
## 809            0           S     NA   male        0        0   8.0500
## 810            0           S  18.00   male        2        2  34.3750
## 811            0           S  16.00   male        1        3  34.3750
## 812            0           S  48.00 female        1        3  34.3750
## 813            0           Q     NA   male        0        0   7.7500
## 814            0           S     NA   male        0        0   7.2500
## 815            0           Q  25.00   male        0        0   7.7417
## 816            0           S     NA   male        0        0  14.5000
## 817            0           C     NA   male        0        0   7.8958
## 818            0           S  22.00   male        0        0   8.0500
## 819            1           Q  16.00 female        0        0   7.7333
## 820            1           Q     NA female        0        0   7.7500
## 821            1           S   9.00   male        0        2  20.5250
## 822            0           S  33.00   male        1        1  20.5250
## 823            0           S  41.00   male        0        0   7.8500
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## 826            0           S   9.00   male        5        2  46.9000
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## 834            0           S  51.00   male        0        0   8.0500
## 835            0           S  32.00   male        0        0   8.3625
## 836            0           S     NA   male        0        0   8.0500
## 837            0           S  20.00   male        0        0   9.8458
## 838            0           S  37.00   male        2        0   7.9250
## 839            0           S  28.00   male        2        0   7.9250
## 840            0           S  19.00   male        0        0   7.7750
## 841            0           S  24.00 female        0        0   8.8500
## 842            0           Q  17.00 female        0        0   7.7333
## 843            0           S     NA   male        1        0  19.9667
## 844            0           S     NA   male        1        0  19.9667
## 845            0           S  28.00   male        1        0  15.8500
## 846            1           S  24.00 female        1        0  15.8500
## 847            0           S  20.00   male        0        0   9.5000
## 848            0           C  23.50   male        0        0   7.2292
## 849            0           S  41.00   male        2        0  14.1083
## 850            0           S  26.00   male        1        0   7.8542
## 851            0           S  21.00   male        0        0   7.8542
## 852            1           S  45.00 female        1        0  14.1083
## 853            0           S     NA female        0        0   7.5500
## 854            0           S  25.00   male        0        0   7.2500
## 855            0           Q     NA   male        0        0   6.8583
## 856            0           C  11.00   male        0        0  18.7875
## 857            1           Q     NA female        0        0   7.7500
## 858            1           S  27.00   male        0        0   6.9750
## 859            1           S     NA   male        0        0  56.4958
## 860            0           Q  18.00 female        0        0   6.7500
## 861            1           S  26.00 female        0        0   7.9250
## 862            0           S  23.00 female        0        0   7.9250
## 863            1           S  22.00 female        0        0   8.9625
## 864            0           S  28.00   male        0        0   7.8958
## 865            0           S  28.00 female        0        0   7.7750
## 866            0           Q     NA female        0        0   7.7500
## 867            1           S   2.00 female        0        1  12.2875
## 868            1           S  22.00 female        1        1  12.2875
## 869            0           S  43.00   male        0        0   6.4500
## 870            0           S  28.00   male        0        0  22.5250
## 871            1           S  27.00 female        0        0   7.9250
## 872            0           Q     NA   male        0        0   7.7500
## 873            1           S     NA female        0        0   8.0500
## 874            0           S  42.00   male        0        0   7.6500
## 875            1           S     NA   male        0        0   7.8875
## 876            0           C  30.00   male        0        0   7.2292
## 877            0           S     NA   male        0        0   7.8958
## 878            0           S  27.00 female        1        0   7.9250
## 879            0           S  25.00 female        1        0   7.9250
## 880            0           S     NA   male        0        0   7.8958
## 881            1           C  29.00   male        0        0   7.8958
## 882            1           S  21.00   male        0        0   7.7958
## 883            0           S     NA   male        0        0   7.0500
## 884            0           S  20.00   male        0        0   7.8542
## 885            0           S  48.00   male        0        0   7.8542
## 886            0           S  17.00   male        1        0   7.0542
## 887            1           Q     NA female        0        0   7.7500
## 888            1           S     NA   male        0        0   8.1125
## 889            0           S  34.00   male        0        0   6.4958
## 890            1           S  26.00   male        0        0   7.7750
## 891            0           S  22.00   male        0        0   7.7958
## 892            0           S  33.00   male        0        0   8.6542
## 893            0           S  31.00   male        0        0   7.7750
## 894            0           S  29.00   male        0        0   7.8542
## 895            1           S   4.00   male        1        1  11.1333
## 896            1           S   1.00 female        1        1  11.1333
## 897            0           S  49.00   male        0        0   0.0000
## 898            0           S  33.00   male        0        0   7.7750
## 899            0           S  19.00   male        0        0   0.0000
## 900            1           S  27.00 female        0        2  11.1333
## 901            0           S     NA   male        1        2  23.4500
## 902            0           S     NA female        1        2  23.4500
## 903            0           S     NA   male        1        2  23.4500
## 904            0           S     NA female        1        2  23.4500
## 905            0           S  23.00   male        0        0   7.8958
## 906            1           S  32.00   male        0        0   7.8542
## 907            0           S  27.00   male        0        0   7.8542
## 908            0           S  20.00 female        1        0   9.8250
## 909            0           S  21.00 female        1        0   9.8250
## 910            1           S  32.00   male        0        0   7.9250
## 911            0           S  17.00   male        0        0   7.1250
## 912            0           S  21.00   male        0        0   8.4333
## 913            0           S  30.00   male        0        0   7.8958
## 914            1           S  21.00   male        0        0   7.7958
## 915            0           S  33.00   male        0        0   7.8542
## 916            0           S  22.00   male        0        0   7.5208
## 917            1           C   4.00 female        0        1  13.4167
## 918            1           C  39.00   male        0        1  13.4167
## 919            0           C     NA   male        0        0   7.2292
## 920            0           C  18.50   male        0        0   7.2292
## 921            0           Q     NA   male        0        0   7.7500
## 922            0           S     NA   male        0        0   7.2500
## 923            1           Q     NA female        0        0   7.7500
## 924            1           Q     NA female        0        0   7.7500
## 925            0           Q  34.50   male        0        0   7.8292
## 926            0           S  44.00   male        0        0   8.0500
## 927            1           Q     NA   male        0        0   7.7500
## 928            0           C     NA   male        1        0  14.4542
## 929            0           C     NA female        1        0  14.4542
## 930            0           Q     NA   male        1        0   7.7500
## 931            0           Q     NA   male        1        0   7.7500
## 932            0           Q     NA   male        0        0   7.7375
## 933            0           S  22.00 female        2        0   8.6625
## 934            0           S  26.00   male        2        0   8.6625
## 935            1           S   4.00 female        0        2  22.0250
## 936            1           S  29.00   male        3        1  22.0250
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## 938            0           S   1.00 female        1        1  12.1833
## 939            0           S  18.00   male        1        1   7.8542
## 940            0           S  36.00 female        0        2  12.1833
## 941            0           C     NA   male        0        0   7.8958
## 942            1           C  25.00   male        0        0   7.2292
## 943            0           C     NA   male        0        0   7.2250
## 944            0           S  37.00 female        0        0   9.5875
## 945            0           S     NA   male        0        0   7.8958
## 946            1           S     NA   male        0        0  56.4958
## 947            0           S     NA   male        0        0  56.4958
## 948            1           S  22.00 female        0        0   7.2500
## 949            0           Q     NA   male        0        0   7.7500
## 950            1           S  26.00   male        0        0  56.4958
## 951            0           S  29.00   male        0        0   9.4833
## 952            0           S  29.00   male        0        0   7.7750
## 953            0           S  22.00   male        0        0   7.7750
## 954            1           C  22.00   male        0        0   7.2250
## 955            0           S     NA   male        3        1  25.4667
## 956            0           S     NA female        3        1  25.4667
## 957            0           S     NA female        3        1  25.4667
## 958            0           S     NA female        3        1  25.4667
## 959            0           S     NA female        0        4  25.4667
## 960            0           S  32.00   male        0        0   7.9250
## 961            0           C  34.50   male        0        0   6.4375
## 962            0           Q     NA female        1        0  15.5000
## 963            0           Q     NA   male        1        0  15.5000
## 964            0           S  36.00   male        0        0   0.0000
## 965            0           S  39.00   male        0        0  24.1500
## 966            0           S  24.00   male        0        0   9.5000
## 967            0           S  25.00 female        0        0   7.7750
## 968            0           S  45.00 female        0        0   7.7500
## 969            0           S  36.00   male        1        0  15.5500
## 970            0           S  30.00 female        1        0  15.5500
## 971            1           S  20.00   male        1        0   7.9250
## 972            0           Q     NA   male        0        0   7.8792
## 973            0           S  28.00   male        0        0  56.4958
## 974            0           S     NA   male        0        0   7.5500
## 975            0           S  30.00   male        1        0  16.1000
## 976            0           S  26.00 female        1        0  16.1000
## 977            0           S     NA   male        0        0   7.8792
## 978            0           S  20.50   male        0        0   7.2500
## 979            1           S  27.00   male        0        0   8.6625
## 980            0           S  51.00   male        0        0   7.0542
## 981            1           S  23.00 female        0        0   7.8542
## 982            1           S  32.00   male        0        0   7.5792
## 983            0           S     NA   male        0        0   7.8958
## 984            0           S     NA   male        0        0   7.5500
## 985            1           Q     NA female        0        0   7.7500
## 986            1           S  24.00   male        0        0   7.1417
## 987            0           S  22.00   male        0        0   7.1250
## 988            0           Q     NA female        0        0   7.8792
## 989            0           Q     NA   male        0        0   7.7500
## 990            0           S     NA   male        0        0   8.0500
## 991            0           S  29.00   male        0        0   7.9250
## 992            1           C     NA   male        0        0   7.2292
## 993            0           Q  30.50 female        0        0   7.7500
## 994            1           Q     NA female        0        0   7.7375
## 995            0           C     NA   male        0        0   7.2292
## 996            0           C  35.00   male        0        0   7.8958
## 997            0           S  33.00   male        0        0   7.8958
## 998            1           C     NA female        0        0   7.2250
## 999            0           C     NA   male        0        0   7.8958
## 1000           1           Q     NA female        0        0   7.7500
## 1001           1           Q     NA   male        0        0   7.7500
## 1002           1           Q     NA female        2        0  23.2500
## 1003           1           Q     NA female        2        0  23.2500
## 1004           1           Q     NA   male        2        0  23.2500
## 1005           1           Q     NA female        0        0   7.7875
## 1006           0           Q     NA   male        0        0  15.5000
## 1007           1           Q     NA female        0        0   7.8792
## 1008           1           Q  15.00 female        0        0   8.0292
## 1009           0           Q  35.00 female        0        0   7.7500
## 1010           0           Q     NA   male        0        0   7.7500
## 1011           0           S  24.00   male        1        0  16.1000
## 1012           0           S  19.00 female        1        0  16.1000
## 1013           0           Q     NA female        0        0   7.7500
## 1014           0           S     NA female        0        0   8.0500
## 1015           0           S     NA female        0        0   8.0500
## 1016           0           S  55.50   male        0        0   8.0500
## 1017           0           Q     NA   male        0        0   7.7500
## 1018           1           S  21.00   male        0        0   7.7750
## 1019           0           S     NA   male        0        0   8.0500
## 1020           0           S  24.00   male        0        0   7.8958
## 1021           0           S  21.00   male        0        0   7.8958
## 1022           0           S  28.00   male        0        0   7.8958
## 1023           0           S     NA   male        0        0   7.8958
## 1024           1           Q     NA female        0        0   7.8792
## 1025           0           S  25.00   male        0        0   7.6500
## 1026           1           S   6.00   male        0        1  12.4750
## 1027           1           S  27.00 female        0        1  12.4750
## 1028           0           S     NA   male        0        0   8.0500
## 1029           1           Q     NA female        1        0  24.1500
## 1030           0           Q     NA   male        1        0  24.1500
## 1031           0           Q     NA   male        0        0   8.4583
## 1032           0           S  34.00   male        0        0   8.0500
## 1033           0           Q     NA   male        0        0   7.7500
## 1034           1           S     NA   male        0        0   7.7750
## 1035           1           C     NA   male        1        1  15.2458
## 1036           1           C     NA   male        1        1  15.2458
## 1037           1           C     NA female        0        2  15.2458
## 1038           1           C     NA female        0        0   7.2292
## 1039           0           S     NA   male        0        0   8.0500
## 1040           1           Q     NA female        0        0   7.7333
## 1041           1           Q  24.00 female        0        0   7.7500
## 1042           0           S     NA   male        0        0   8.0500
## 1043           1           Q     NA female        1        0  15.5000
## 1044           1           Q     NA female        1        0  15.5000
## 1045           1           Q     NA female        0        0  15.5000
## 1046           0           S  18.00   male        0        0   7.7500
## 1047           0           S  22.00   male        0        0   7.8958
## 1048           1           C  15.00 female        0        0   7.2250
## 1049           1           C   1.00 female        0        2  15.7417
## 1050           1           C  20.00   male        1        1  15.7417
## 1051           1           C  19.00 female        1        1  15.7417
## 1052           0           S  33.00   male        0        0   8.0500
## 1053           0           S     NA   male        0        0   7.8958
## 1054           0           C     NA   male        0        0   7.2292
## 1055           0           Q     NA female        0        0   7.7500
## 1056           0           S     NA   male        0        0   7.8958
## 1057           1           C  12.00   male        1        0  11.2417
## 1058           1           C  14.00 female        1        0  11.2417
## 1059           0           S  29.00 female        0        0   7.9250
## 1060           0           S  28.00   male        0        0   8.0500
## 1061           1           S  18.00 female        0        0   7.7750
## 1062           1           S  26.00 female        0        0   7.8542
## 1063           0           S  21.00   male        0        0   7.8542
## 1064           0           S  41.00   male        0        0   7.1250
## 1065           1           S  39.00   male        0        0   7.9250
## 1066           0           S  21.00   male        0        0   7.8000
## 1067           0           C  28.50   male        0        0   7.2292
## 1068           1           S  22.00 female        0        0   7.7500
## 1069           0           S  61.00   male        0        0   6.2375
## 1070           0           Q     NA   male        1        0  15.5000
## 1071           0           Q     NA   male        0        0   7.8292
## 1072           1           Q     NA female        1        0  15.5000
## 1073           0           Q     NA   male        0        0   7.7333
## 1074           0           Q     NA   male        0        0   7.7500
## 1075           0           Q     NA   male        0        0   7.7500
## 1076           0           S  23.00   male        0        0   9.2250
## 1077           0           Q     NA female        0        0   7.7500
## 1078           1           Q     NA female        0        0   7.7500
## 1079           1           Q     NA female        0        0   7.8792
## 1080           1           S  22.00 female        0        0   7.7750
## 1081           1           Q     NA   male        0        0   7.7500
## 1082           1           Q     NA female        0        0   7.8292
## 1083           1           S   9.00   male        0        1   3.1708
## 1084           0           S  28.00   male        0        0  22.5250
## 1085           0           S  42.00   male        0        1   8.4042
## 1086           0           S     NA   male        0        0   7.3125
## 1087           0           S  31.00 female        0        0   7.8542
## 1088           0           S  28.00   male        0        0   7.8542
## 1089           1           S  32.00   male        0        0   7.7750
## 1090           0           S  20.00   male        0        0   9.2250
## 1091           0           S  23.00 female        0        0   8.6625
## 1092           0           S  20.00 female        0        0   8.6625
## 1093           0           S  20.00   male        0        0   8.6625
## 1094           0           S  16.00   male        0        0   9.2167
## 1095           1           S  31.00 female        0        0   8.6833
## 1096           0           Q     NA female        0        0   7.6292
## 1097           0           S   2.00   male        3        1  21.0750
## 1098           0           S   6.00   male        3        1  21.0750
## 1099           0           S   3.00 female        3        1  21.0750
## 1100           0           S   8.00 female        3        1  21.0750
## 1101           0           S  29.00 female        0        4  21.0750
## 1102           0           S   1.00   male        4        1  39.6875
## 1103           0           S   7.00   male        4        1  39.6875
## 1104           0           S   2.00   male        4        1  39.6875
## 1105           0           S  16.00   male        4        1  39.6875
## 1106           0           S  14.00   male        4        1  39.6875
## 1107           0           S  41.00 female        0        5  39.6875
## 1108           0           S  21.00   male        0        0   8.6625
## 1109           0           S  19.00   male        0        0  14.5000
## 1110           0           C     NA   male        0        0   8.7125
## 1111           0           S  32.00   male        0        0   7.8958
## 1112           0           S   0.75   male        1        1  13.7750
## 1113           0           S   3.00 female        1        1  13.7750
## 1114           0           S  26.00 female        0        2  13.7750
## 1115           0           S     NA   male        0        0   7.0000
## 1116           0           S     NA   male        0        0   7.7750
## 1117           0           S     NA   male        0        0   8.0500
## 1118           0           S  21.00   male        0        0   7.9250
## 1119           0           S  25.00   male        0        0   7.9250
## 1120           0           S  22.00   male        0        0   7.2500
## 1121           1           S  25.00   male        1        0   7.7750
## 1122           1           C     NA   male        1        1  22.3583
## 1123           1           C     NA female        1        1  22.3583
## 1124           1           C     NA female        0        2  22.3583
## 1125           0           Q     NA female        0        0   8.1375
## 1126           0           S  24.00   male        0        0   8.0500
## 1127           0           S  28.00 female        0        0   7.8958
## 1128           0           S  19.00   male        0        0   7.8958
## 1129           0           S     NA   male        0        0   7.8958
## 1130           0           S  25.00   male        1        0   7.7750
## 1131           0           S  18.00 female        0        0   7.7750
## 1132           1           S  32.00   male        0        0   8.0500
## 1133           0           S     NA   male        0        0   7.8958
## 1134           0           S  17.00   male        0        0   8.6625
## 1135           0           S  24.00   male        0        0   8.6625
## 1136           0           S     NA   male        0        0   7.8958
## 1137           0           S     NA female        0        0   8.1125
## 1138           0           C     NA   male        0        0   7.2292
## 1139           0           S     NA   male        0        0   7.2500
## 1140           0           S  38.00   male        0        0   7.8958
## 1141           0           S  21.00   male        0        0   8.0500
## 1142           0           Q  10.00   male        4        1  29.1250
## 1143           0           Q   4.00   male        4        1  29.1250
## 1144           0           Q   7.00   male        4        1  29.1250
## 1145           0           Q   2.00   male        4        1  29.1250
## 1146           0           Q   8.00   male        4        1  29.1250
## 1147           0           Q  39.00 female        0        5  29.1250
## 1148           0           S  22.00 female        0        0  39.6875
## 1149           0           S  35.00   male        0        0   7.1250
## 1150           1           Q     NA female        0        0   7.7208
## 1151           0           S     NA   male        0        0  14.5000
## 1152           0           S     NA female        0        0  14.5000
## 1153           0           S  50.00   male        1        0  14.5000
## 1154           0           S  47.00 female        1        0  14.5000
## 1155           0           S     NA   male        0        0   8.0500
## 1156           0           S     NA   male        0        0   7.7750
## 1157           0           S   2.00 female        1        1  20.2125
## 1158           0           S  18.00   male        1        1  20.2125
## 1159           0           S  41.00 female        0        2  20.2125
## 1160           1           S     NA female        0        0   8.0500
## 1161           0           S  50.00   male        0        0   8.0500
## 1162           0           S  16.00   male        0        0   8.0500
## 1163           1           Q     NA   male        0        0   7.7500
## 1164           0           Q     NA   male        0        0  24.1500
## 1165           0           C     NA   male        0        0   7.2292
## 1166           0           C  25.00   male        0        0   7.2250
## 1167           0           C     NA   male        0        0   7.2250
## 1168           0           Q     NA   male        0        0   7.7292
## 1169           0           S     NA   male        0        0   7.5750
## 1170           0           S  38.50   male        0        0   7.2500
## 1171           0           S     NA   male        8        2  69.5500
## 1172           0           S  14.50   male        8        2  69.5500
## 1173           0           S     NA female        8        2  69.5500
## 1174           0           S     NA female        8        2  69.5500
## 1175           0           S     NA female        8        2  69.5500
## 1176           0           S     NA female        8        2  69.5500
## 1177           0           S     NA   male        8        2  69.5500
## 1178           0           S     NA   male        8        2  69.5500
## 1179           0           S     NA   male        8        2  69.5500
## 1180           0           S     NA   male        1        9  69.5500
## 1181           0           S     NA female        1        9  69.5500
## 1182           0           S  24.00   male        0        0   9.3250
## 1183           1           S  21.00 female        0        0   7.6500
## 1184           0           S  39.00   male        0        0   7.9250
## 1185           0           C     NA   male        2        0  21.6792
## 1186           0           C     NA   male        2        0  21.6792
## 1187           0           C     NA   male        2        0  21.6792
## 1188           1           S   1.00 female        1        1  16.7000
## 1189           1           S  24.00 female        0        2  16.7000
## 1190           1           S   4.00 female        1        1  16.7000
## 1191           1           S  25.00   male        0        0   9.5000
## 1192           0           S  20.00   male        0        0   8.0500
## 1193           0           S  24.50   male        0        0   8.0500
## 1194           0           Q     NA   male        0        0   7.7250
## 1195           0           S     NA   male        0        0   7.8958
## 1196           0           Q     NA   male        0        0   7.7500
## 1197           1           S  29.00   male        0        0   9.5000
## 1198           0           S     NA   male        0        0  15.1000
## 1199           1           Q     NA female        0        0   7.7792
## 1200           0           S     NA   male        0        0   8.0500
## 1201           0           S     NA   male        0        0   8.0500
## 1202           0           C  22.00   male        0        0   7.2292
## 1203           0           S     NA   male        0        0   8.0500
## 1204           0           S  40.00   male        0        0   7.8958
## 1205           0           S  21.00   male        0        0   7.9250
## 1206           1           S  18.00 female        0        0   7.4958
## 1207           0           S   4.00   male        3        2  27.9000
## 1208           0           S  10.00   male        3        2  27.9000
## 1209           0           S   9.00 female        3        2  27.9000
## 1210           0           S   2.00 female        3        2  27.9000
## 1211           0           S  40.00   male        1        4  27.9000
## 1212           0           S  45.00 female        1        4  27.9000
## 1213           0           S     NA   male        0        0   7.8958
## 1214           0           S     NA   male        0        0   8.0500
## 1215           0           S     NA   male        0        0   8.6625
## 1216           0           Q     NA   male        0        0   7.7500
## 1217           1           Q     NA female        0        0   7.7333
## 1218           0           S  19.00   male        0        0   7.6500
## 1219           0           S  30.00   male        0        0   8.0500
## 1220           0           S     NA   male        0        0   8.0500
## 1221           0           S  32.00   male        0        0   8.0500
## 1222           0           S     NA   male        0        0   7.8958
## 1223           0           C  33.00   male        0        0   8.6625
## 1224           1           S  23.00 female        0        0   7.5500
## 1225           0           S  21.00   male        0        0   8.0500
## 1226           0           S  60.50   male        0        0       NA
## 1227           0           S  19.00   male        0        0   7.8958
## 1228           0           S  22.00 female        0        0   9.8375
## 1229           1           S  31.00   male        0        0   7.9250
## 1230           0           S  27.00   male        0        0   8.6625
## 1231           0           S   2.00 female        0        1  10.4625
## 1232           0           S  29.00 female        1        1  10.4625
## 1233           1           S  16.00   male        0        0   8.0500
## 1234           1           S  44.00   male        0        0   7.9250
## 1235           0           S  25.00   male        0        0   7.0500
## 1236           0           S  74.00   male        0        0   7.7750
## 1237           1           S  14.00   male        0        0   9.2250
## 1238           0           S  24.00   male        0        0   7.7958
## 1239           1           S  25.00   male        0        0   7.7958
## 1240           0           S  34.00   male        0        0   8.0500
## 1241           1           C   0.42   male        0        1   8.5167
## 1242           0           C     NA   male        1        0   6.4375
## 1243           0           C     NA   male        0        0   6.4375
## 1244           0           C     NA   male        0        0   7.2250
## 1245           1           C  16.00 female        1        1   8.5167
## 1246           0           S     NA   male        0        0   8.0500
## 1247           0           S     NA   male        1        0  16.1000
## 1248           1           S     NA female        1        0  16.1000
## 1249           0           S  32.00   male        0        0   7.9250
## 1250           0           Q     NA   male        0        0   7.7500
## 1251           0           S     NA   male        0        0   7.8958
## 1252           0           S  30.50   male        0        0   8.0500
## 1253           0           S  44.00   male        0        0   8.0500
## 1254           0           C     NA   male        0        0   7.2292
## 1255           1           S  25.00   male        0        0   0.0000
## 1256           0           C     NA   male        0        0   7.2292
## 1257           1           C   7.00   male        1        1  15.2458
## 1258           1           C   9.00 female        1        1  15.2458
## 1259           1           C  29.00 female        0        2  15.2458
## 1260           0           S  36.00   male        0        0   7.8958
## 1261           1           S  18.00 female        0        0   9.8417
## 1262           1           S  63.00 female        0        0   9.5875
## 1263           0           S     NA   male        1        1  14.5000
## 1264           0           S  11.50   male        1        1  14.5000
## 1265           0           S  40.50   male        0        2  14.5000
## 1266           0           S  10.00 female        0        2  24.1500
## 1267           0           S  36.00   male        1        1  24.1500
## 1268           0           S  30.00 female        1        1  24.1500
## 1269           0           S     NA   male        0        0   9.5000
## 1270           0           S  33.00   male        0        0   9.5000
## 1271           0           S  28.00   male        0        0   9.5000
## 1272           0           S  28.00   male        0        0   9.5000
## 1273           0           S  47.00   male        0        0   9.0000
## 1274           0           S  18.00 female        2        0  18.0000
## 1275           0           S  31.00   male        3        0  18.0000
## 1276           0           S  16.00   male        2        0  18.0000
## 1277           0           S  31.00 female        1        0  18.0000
## 1278           1           C  22.00   male        0        0   7.2250
## 1279           0           S  20.00   male        0        0   7.8542
## 1280           0           S  14.00 female        0        0   7.8542
## 1281           0           S  22.00   male        0        0   7.8958
## 1282           0           S  22.00   male        0        0   9.0000
## 1283           0           S     NA   male        0        0   8.0500
## 1284           0           S     NA   male        0        0   7.5500
## 1285           0           S     NA   male        0        0   8.0500
## 1286           0           S  32.50   male        0        0   9.5000
## 1287           1           C  38.00 female        0        0   7.2292
## 1288           0           S  51.00   male        0        0   7.7500
## 1289           0           S  18.00   male        1        0   6.4958
## 1290           0           S  21.00   male        1        0   6.4958
## 1291           1           S  47.00 female        1        0   7.0000
## 1292           0           S     NA   male        0        0   8.7125
## 1293           0           S     NA   male        0        0   7.5500
## 1294           0           S     NA   male        0        0   8.0500
## 1295           0           S  28.50   male        0        0  16.1000
## 1296           0           S  21.00   male        0        0   7.2500
## 1297           0           S  27.00   male        0        0   8.6625
## 1298           0           S     NA   male        0        0   7.2500
## 1299           0           S  36.00   male        0        0   9.5000
## 1300           0           C  27.00   male        1        0  14.4542
## 1301           1           C  15.00 female        1        0  14.4542
## 1302           0           C  45.50   male        0        0   7.2250
## 1303           0           C     NA   male        0        0   7.2250
## 1304           0           C     NA   male        0        0  14.4583
## 1305           0           C  14.50 female        1        0  14.4542
## 1306           0           C     NA female        1        0  14.4542
## 1307           0           C  26.50   male        0        0   7.2250
## 1308           0           C  27.00   male        0        0   7.2250
## 1309           0           S  29.00   male        0        0   7.8750

#4) Perform a statistical analysis of the titanic dataset

#Titanic Data Analysis
str(titanic)
## 'data.frame':    1309 obs. of  7 variables:
##  $ T5.survived: num  1 1 0 0 0 1 1 0 1 0 ...
##  $ T5.embarked: chr  "S" "S" "S" "S" ...
##  $ T5.age     : num  29 0.92 2 30 25 48 63 39 53 71 ...
##  $ T5.sex     : chr  "female" "male" "female" "male" ...
##  $ T5.sibsp   : num  0 1 1 1 1 0 1 0 2 0 ...
##  $ T5.parch   : num  0 2 2 2 2 0 0 0 0 0 ...
##  $ T5.fare    : num  211 152 152 152 152 ...
View(titanic)
summary(titanic)
##   T5.survived    T5.embarked            T5.age         T5.sex         
##  Min.   :0.000   Length:1309        Min.   : 0.17   Length:1309       
##  1st Qu.:0.000   Class :character   1st Qu.:21.00   Class :character  
##  Median :0.000   Mode  :character   Median :28.00   Mode  :character  
##  Mean   :0.382                      Mean   :29.88                     
##  3rd Qu.:1.000                      3rd Qu.:39.00                     
##  Max.   :1.000                      Max.   :80.00                     
##                                     NA's   :263                       
##     T5.sibsp         T5.parch        T5.fare       
##  Min.   :0.0000   Min.   :0.000   Min.   :  0.000  
##  1st Qu.:0.0000   1st Qu.:0.000   1st Qu.:  7.896  
##  Median :0.0000   Median :0.000   Median : 14.454  
##  Mean   :0.4989   Mean   :0.385   Mean   : 33.295  
##  3rd Qu.:1.0000   3rd Qu.:0.000   3rd Qu.: 31.275  
##  Max.   :8.0000   Max.   :9.000   Max.   :512.329  
##                                   NA's   :1
hist(titanic$T5.age)

hist(titanic$T5.survived)

hist(titanic$T5.fare)

hist(titanic$T5.parch)

sum(is.na(titanic))
## [1] 266
# summary(titanic_noNA$T5.fare)
# summary(titanic_noNA$T5.age)
# summary(titanic_noNA)

#5) Survived is the dependent variable, find its proportion in the dataset

table(titanic$T5.survived)
## 
##   0   1 
## 809 500
prop.table(table(titanic$T5.survived))
## 
##        0        1 
## 0.618029 0.381971

#6) Remove NAs if any.

is.na(titanic)
##         T5.survived T5.embarked T5.age T5.sex T5.sibsp T5.parch T5.fare
##    [1,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
##    [2,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
##    [3,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
##    [4,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
##    [5,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
##    [6,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
##    [7,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
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##  [744,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
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## [1110,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1111,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1112,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1113,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1114,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1115,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1116,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1117,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1118,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1119,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1120,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1121,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1122,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1123,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1124,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1125,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1126,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1127,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1128,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1129,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1130,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1131,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1132,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1133,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1134,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1135,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1136,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1137,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1138,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1139,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1140,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1141,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1142,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1143,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1144,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1145,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1146,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1147,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1148,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1149,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1150,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1151,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1152,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1153,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1154,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1155,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1156,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1157,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1158,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1159,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1160,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1161,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1162,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1163,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1164,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1165,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1166,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1167,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1168,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1169,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1170,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1171,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1172,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1173,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1174,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1175,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1176,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1177,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1178,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1179,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1180,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1181,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1182,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1183,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1184,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1185,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1186,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1187,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1188,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1189,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1190,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1191,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1192,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1193,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1194,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1195,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1196,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1197,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1198,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1199,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1200,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1201,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1202,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1203,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1204,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1205,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1206,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1207,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1208,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1209,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1210,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1211,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1212,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1213,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1214,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1215,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1216,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1217,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1218,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1219,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1220,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1221,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1222,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1223,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1224,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1225,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1226,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE    TRUE
## [1227,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1228,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1229,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1230,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1231,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1232,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1233,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1234,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1235,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1236,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1237,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1238,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1239,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1240,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1241,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1242,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1243,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1244,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1245,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1246,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1247,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1248,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1249,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1250,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1251,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1252,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1253,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1254,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1255,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1256,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1257,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1258,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1259,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1260,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1261,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1262,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1263,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1264,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1265,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1266,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1267,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1268,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1269,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1270,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1271,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1272,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1273,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1274,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1275,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1276,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1277,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1278,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1279,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1280,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1281,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1282,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1283,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1284,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1285,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1286,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1287,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1288,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1289,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1290,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1291,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1292,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1293,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1294,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1295,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1296,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1297,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1298,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1299,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1300,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1301,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1302,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1303,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1304,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1305,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1306,]       FALSE       FALSE   TRUE  FALSE    FALSE    FALSE   FALSE
## [1307,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1308,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
## [1309,]       FALSE       FALSE  FALSE  FALSE    FALSE    FALSE   FALSE
sum(is.na(titanic))
## [1] 266
head(titanic)
##   T5.survived T5.embarked T5.age T5.sex T5.sibsp T5.parch  T5.fare
## 1           1           S  29.00 female        0        0 211.3375
## 2           1           S   0.92   male        1        2 151.5500
## 3           0           S   2.00 female        1        2 151.5500
## 4           0           S  30.00   male        1        2 151.5500
## 5           0           S  25.00 female        1        2 151.5500
## 6           1           S  48.00   male        0        0  26.5500
titanic_noNA <- na.omit(titanic)
titanic_noNA
##      T5.survived T5.embarked T5.age T5.sex T5.sibsp T5.parch  T5.fare
## 1              1           S  29.00 female        0        0 211.3375
## 2              1           S   0.92   male        1        2 151.5500
## 3              0           S   2.00 female        1        2 151.5500
## 4              0           S  30.00   male        1        2 151.5500
## 5              0           S  25.00 female        1        2 151.5500
## 6              1           S  48.00   male        0        0  26.5500
## 7              1           S  63.00 female        1        0  77.9583
## 8              0           S  39.00   male        0        0   0.0000
## 9              1           S  53.00 female        2        0  51.4792
## 10             0           C  71.00   male        0        0  49.5042
## 11             0           C  47.00   male        1        0 227.5250
## 12             1           C  18.00 female        1        0 227.5250
## 13             1           C  24.00 female        0        0  69.3000
## 14             1           S  26.00 female        0        0  78.8500
## 15             1           S  80.00   male        0        0  30.0000
## 17             0           C  24.00   male        0        1 247.5208
## 18             1           C  50.00 female        0        1 247.5208
## 19             1           C  32.00 female        0        0  76.2917
## 20             0           C  36.00   male        0        0  75.2417
## 21             1           S  37.00   male        1        1  52.5542
## 22             1           S  47.00 female        1        1  52.5542
## 23             1           C  26.00   male        0        0  30.0000
## 24             1           C  42.00 female        0        0 227.5250
## 25             1           S  29.00 female        0        0 221.7792
## 26             0           C  25.00   male        0        0  26.0000
## 27             1           C  25.00   male        1        0  91.0792
## 28             1           C  19.00 female        1        0  91.0792
## 29             1           S  35.00 female        0        0 135.6333
## 30             1           S  28.00   male        0        0  26.5500
## 31             0           S  45.00   male        0        0  35.5000
## 32             1           C  40.00   male        0        0  31.0000
## 33             1           S  30.00 female        0        0 164.8667
## 34             1           S  58.00 female        0        0  26.5500
## 35             0           S  42.00   male        0        0  26.5500
## 36             1           C  45.00 female        0        0 262.3750
## 37             1           S  22.00 female        0        1  55.0000
## 39             0           S  41.00   male        0        0  30.5000
## 40             0           C  48.00   male        0        0  50.4958
## 42             1           C  44.00 female        0        0  27.7208
## 43             1           S  59.00 female        2        0  51.4792
## 44             1           C  60.00 female        0        0  76.2917
## 45             1           C  41.00 female        0        0 134.5000
## 46             0           S  45.00   male        0        0  26.5500
## 48             1           S  42.00   male        0        0  26.2875
## 49             1           C  53.00 female        0        0  27.4458
## 50             1           C  36.00   male        0        1 512.3292
## 51             1           C  58.00 female        0        1 512.3292
## 52             0           S  33.00   male        0        0   5.0000
## 53             0           S  28.00   male        0        0  47.1000
## 54             0           S  17.00   male        0        0  47.1000
## 55             1           S  11.00   male        1        2 120.0000
## 56             1           S  14.00 female        1        2 120.0000
## 57             1           S  36.00   male        1        2 120.0000
## 58             1           S  36.00 female        1        2 120.0000
## 59             0           S  49.00   male        0        0  26.0000
## 61             0           S  36.00   male        1        0  78.8500
## 62             1           S  76.00 female        1        0  78.8500
## 63             0           S  46.00   male        1        0  61.1750
## 64             1           S  47.00 female        1        0  61.1750
## 65             1           S  27.00   male        1        0  53.1000
## 66             1           S  33.00 female        1        0  53.1000
## 67             1           C  36.00 female        0        0 262.3750
## 68             1           S  30.00 female        0        0  86.5000
## 69             1           C  45.00   male        0        0  29.7000
## 72             0           C  27.00   male        1        0 136.7792
## 73             1           C  26.00 female        1        0 136.7792
## 74             1           S  22.00 female        0        0 151.5500
## 76             0           S  47.00   male        0        0  25.5875
## 77             1           C  39.00 female        1        1  83.1583
## 78             0           C  37.00   male        1        1  83.1583
## 79             1           C  64.00 female        0        2  83.1583
## 80             1           S  55.00 female        2        0  25.7000
## 82             0           S  70.00   male        1        1  71.0000
## 83             1           S  36.00 female        0        2  71.0000
## 84             1           S  64.00 female        1        1  26.5500
## 85             0           C  39.00   male        1        0  71.2833
## 86             1           C  38.00 female        1        0  71.2833
## 87             1           S  51.00   male        0        0  26.5500
## 88             1           S  27.00   male        0        0  30.5000
## 89             1           S  33.00 female        0        0 151.5500
## 90             0           S  31.00   male        1        0  52.0000
## 91             1           S  27.00 female        1        2  52.0000
## 92             1           S  31.00   male        1        0  57.0000
## 93             1           S  17.00 female        1        0  57.0000
## 94             1           S  53.00   male        1        1  81.8583
## 95             1           S   4.00   male        0        2  81.8583
## 96             1           S  54.00 female        1        1  81.8583
## 97             0           C  50.00   male        1        0 106.4250
## 98             1           C  27.00 female        1        1 247.5208
## 99             1           C  48.00 female        1        0 106.4250
## 100            1           C  48.00 female        1        0  39.6000
## 101            1           C  49.00   male        1        0  56.9292
## 102            0           C  39.00   male        0        0  29.7000
## 103            1           C  23.00 female        0        1  83.1583
## 104            1           C  38.00 female        0        0 227.5250
## 105            1           C  54.00 female        1        0  78.2667
## 106            0           C  36.00 female        0        0  31.6792
## 110            1           S  36.00   male        0        0  26.3875
## 111            0           C  30.00   male        0        0  27.7500
## 112            1           S  24.00 female        3        2 263.0000
## 113            1           S  28.00 female        3        2 263.0000
## 114            1           S  23.00 female        3        2 263.0000
## 115            0           S  19.00   male        3        2 263.0000
## 116            0           S  64.00   male        1        4 263.0000
## 117            1           S  60.00 female        1        4 263.0000
## 118            1           C  30.00 female        0        0  56.9292
## 120            1           S  50.00   male        2        0 133.6500
## 121            1           C  43.00   male        1        0  27.7208
## 123            1           C  22.00 female        0        2  49.5000
## 124            1           C  60.00   male        1        1  79.2000
## 125            1           C  48.00 female        1        1  79.2000
## 127            0           S  37.00   male        1        0  53.1000
## 128            1           S  35.00 female        1        0  53.1000
## 129            0           S  47.00   male        0        0  38.5000
## 130            1           C  35.00 female        0        0 211.5000
## 131            1           C  22.00 female        0        1  59.4000
## 132            1           C  45.00 female        0        1  59.4000
## 133            0           C  24.00   male        0        0  79.2000
## 134            1           C  49.00   male        1        0  89.1042
## 136            0           C  71.00   male        0        0  34.6542
## 137            1           C  53.00   male        0        0  28.5000
## 138            1           S  19.00 female        0        0  30.0000
## 139            0           S  38.00   male        0        1 153.4625
## 140            1           S  58.00 female        0        1 153.4625
## 141            1           C  23.00   male        0        1  63.3583
## 142            1           C  45.00 female        0        1  63.3583
## 143            0           C  46.00   male        0        0  79.2000
## 144            1           C  25.00   male        1        0  55.4417
## 145            1           C  25.00 female        1        0  55.4417
## 146            1           C  48.00   male        1        0  76.7292
## 147            1           C  49.00 female        1        0  76.7292
## 149            0           S  45.00   male        1        0  83.4750
## 150            1           S  35.00 female        1        0  83.4750
## 151            0           S  40.00   male        0        0   0.0000
## 152            1           C  27.00   male        0        0  76.7292
## 154            1           C  24.00 female        0        0  83.1583
## 155            0           S  55.00   male        1        1  93.5000
## 156            1           S  52.00 female        1        1  93.5000
## 157            0           S  42.00   male        0        0  42.5000
## 159            0           S  55.00   male        0        0  50.0000
## 160            1           C  16.00 female        0        1  57.9792
## 161            1           C  44.00 female        0        1  57.9792
## 162            1           S  51.00 female        1        0  77.9583
## 163            0           S  42.00   male        1        0  52.0000
## 164            1           S  35.00 female        1        0  52.0000
## 165            1           C  35.00   male        0        0  26.5500
## 166            1           S  38.00   male        1        0  90.0000
## 168            1           S  35.00 female        1        0  90.0000
## 170            0           C  50.00 female        0        0  28.7125
## 171            1           S  49.00   male        0        0   0.0000
## 172            0           S  46.00   male        0        0  26.0000
## 173            0           S  50.00   male        0        0  26.0000
## 174            0           C  32.50   male        0        0 211.5000
## 175            0           C  58.00   male        0        0  29.7000
## 176            0           S  41.00   male        1        0  51.8625
## 178            1           S  42.00   male        1        0  52.5542
## 179            1           S  45.00 female        1        0  52.5542
## 181            1           S  39.00 female        0        0 211.3375
## 182            1           S  49.00 female        0        0  25.9292
## 183            1           C  30.00 female        0        0 106.4250
## 184            1           C  35.00   male        0        0 512.3292
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## 1052           0           S  33.00   male        0        0   8.0500
## 1057           1           C  12.00   male        1        0  11.2417
## 1058           1           C  14.00 female        1        0  11.2417
## 1059           0           S  29.00 female        0        0   7.9250
## 1060           0           S  28.00   male        0        0   8.0500
## 1061           1           S  18.00 female        0        0   7.7750
## 1062           1           S  26.00 female        0        0   7.8542
## 1063           0           S  21.00   male        0        0   7.8542
## 1064           0           S  41.00   male        0        0   7.1250
## 1065           1           S  39.00   male        0        0   7.9250
## 1066           0           S  21.00   male        0        0   7.8000
## 1067           0           C  28.50   male        0        0   7.2292
## 1068           1           S  22.00 female        0        0   7.7500
## 1069           0           S  61.00   male        0        0   6.2375
## 1076           0           S  23.00   male        0        0   9.2250
## 1080           1           S  22.00 female        0        0   7.7750
## 1083           1           S   9.00   male        0        1   3.1708
## 1084           0           S  28.00   male        0        0  22.5250
## 1085           0           S  42.00   male        0        1   8.4042
## 1087           0           S  31.00 female        0        0   7.8542
## 1088           0           S  28.00   male        0        0   7.8542
## 1089           1           S  32.00   male        0        0   7.7750
## 1090           0           S  20.00   male        0        0   9.2250
## 1091           0           S  23.00 female        0        0   8.6625
## 1092           0           S  20.00 female        0        0   8.6625
## 1093           0           S  20.00   male        0        0   8.6625
## 1094           0           S  16.00   male        0        0   9.2167
## 1095           1           S  31.00 female        0        0   8.6833
## 1097           0           S   2.00   male        3        1  21.0750
## 1098           0           S   6.00   male        3        1  21.0750
## 1099           0           S   3.00 female        3        1  21.0750
## 1100           0           S   8.00 female        3        1  21.0750
## 1101           0           S  29.00 female        0        4  21.0750
## 1102           0           S   1.00   male        4        1  39.6875
## 1103           0           S   7.00   male        4        1  39.6875
## 1104           0           S   2.00   male        4        1  39.6875
## 1105           0           S  16.00   male        4        1  39.6875
## 1106           0           S  14.00   male        4        1  39.6875
## 1107           0           S  41.00 female        0        5  39.6875
## 1108           0           S  21.00   male        0        0   8.6625
## 1109           0           S  19.00   male        0        0  14.5000
## 1111           0           S  32.00   male        0        0   7.8958
## 1112           0           S   0.75   male        1        1  13.7750
## 1113           0           S   3.00 female        1        1  13.7750
## 1114           0           S  26.00 female        0        2  13.7750
## 1118           0           S  21.00   male        0        0   7.9250
## 1119           0           S  25.00   male        0        0   7.9250
## 1120           0           S  22.00   male        0        0   7.2500
## 1121           1           S  25.00   male        1        0   7.7750
## 1126           0           S  24.00   male        0        0   8.0500
## 1127           0           S  28.00 female        0        0   7.8958
## 1128           0           S  19.00   male        0        0   7.8958
## 1130           0           S  25.00   male        1        0   7.7750
## 1131           0           S  18.00 female        0        0   7.7750
## 1132           1           S  32.00   male        0        0   8.0500
## 1134           0           S  17.00   male        0        0   8.6625
## 1135           0           S  24.00   male        0        0   8.6625
## 1140           0           S  38.00   male        0        0   7.8958
## 1141           0           S  21.00   male        0        0   8.0500
## 1142           0           Q  10.00   male        4        1  29.1250
## 1143           0           Q   4.00   male        4        1  29.1250
## 1144           0           Q   7.00   male        4        1  29.1250
## 1145           0           Q   2.00   male        4        1  29.1250
## 1146           0           Q   8.00   male        4        1  29.1250
## 1147           0           Q  39.00 female        0        5  29.1250
## 1148           0           S  22.00 female        0        0  39.6875
## 1149           0           S  35.00   male        0        0   7.1250
## 1153           0           S  50.00   male        1        0  14.5000
## 1154           0           S  47.00 female        1        0  14.5000
## 1157           0           S   2.00 female        1        1  20.2125
## 1158           0           S  18.00   male        1        1  20.2125
## 1159           0           S  41.00 female        0        2  20.2125
## 1161           0           S  50.00   male        0        0   8.0500
## 1162           0           S  16.00   male        0        0   8.0500
## 1166           0           C  25.00   male        0        0   7.2250
## 1170           0           S  38.50   male        0        0   7.2500
## 1172           0           S  14.50   male        8        2  69.5500
## 1182           0           S  24.00   male        0        0   9.3250
## 1183           1           S  21.00 female        0        0   7.6500
## 1184           0           S  39.00   male        0        0   7.9250
## 1188           1           S   1.00 female        1        1  16.7000
## 1189           1           S  24.00 female        0        2  16.7000
## 1190           1           S   4.00 female        1        1  16.7000
## 1191           1           S  25.00   male        0        0   9.5000
## 1192           0           S  20.00   male        0        0   8.0500
## 1193           0           S  24.50   male        0        0   8.0500
## 1197           1           S  29.00   male        0        0   9.5000
## 1202           0           C  22.00   male        0        0   7.2292
## 1204           0           S  40.00   male        0        0   7.8958
## 1205           0           S  21.00   male        0        0   7.9250
## 1206           1           S  18.00 female        0        0   7.4958
## 1207           0           S   4.00   male        3        2  27.9000
## 1208           0           S  10.00   male        3        2  27.9000
## 1209           0           S   9.00 female        3        2  27.9000
## 1210           0           S   2.00 female        3        2  27.9000
## 1211           0           S  40.00   male        1        4  27.9000
## 1212           0           S  45.00 female        1        4  27.9000
## 1218           0           S  19.00   male        0        0   7.6500
## 1219           0           S  30.00   male        0        0   8.0500
## 1221           0           S  32.00   male        0        0   8.0500
## 1223           0           C  33.00   male        0        0   8.6625
## 1224           1           S  23.00 female        0        0   7.5500
## 1225           0           S  21.00   male        0        0   8.0500
## 1227           0           S  19.00   male        0        0   7.8958
## 1228           0           S  22.00 female        0        0   9.8375
## 1229           1           S  31.00   male        0        0   7.9250
## 1230           0           S  27.00   male        0        0   8.6625
## 1231           0           S   2.00 female        0        1  10.4625
## 1232           0           S  29.00 female        1        1  10.4625
## 1233           1           S  16.00   male        0        0   8.0500
## 1234           1           S  44.00   male        0        0   7.9250
## 1235           0           S  25.00   male        0        0   7.0500
## 1236           0           S  74.00   male        0        0   7.7750
## 1237           1           S  14.00   male        0        0   9.2250
## 1238           0           S  24.00   male        0        0   7.7958
## 1239           1           S  25.00   male        0        0   7.7958
## 1240           0           S  34.00   male        0        0   8.0500
## 1241           1           C   0.42   male        0        1   8.5167
## 1245           1           C  16.00 female        1        1   8.5167
## 1249           0           S  32.00   male        0        0   7.9250
## 1252           0           S  30.50   male        0        0   8.0500
## 1253           0           S  44.00   male        0        0   8.0500
## 1255           1           S  25.00   male        0        0   0.0000
## 1257           1           C   7.00   male        1        1  15.2458
## 1258           1           C   9.00 female        1        1  15.2458
## 1259           1           C  29.00 female        0        2  15.2458
## 1260           0           S  36.00   male        0        0   7.8958
## 1261           1           S  18.00 female        0        0   9.8417
## 1262           1           S  63.00 female        0        0   9.5875
## 1264           0           S  11.50   male        1        1  14.5000
## 1265           0           S  40.50   male        0        2  14.5000
## 1266           0           S  10.00 female        0        2  24.1500
## 1267           0           S  36.00   male        1        1  24.1500
## 1268           0           S  30.00 female        1        1  24.1500
## 1270           0           S  33.00   male        0        0   9.5000
## 1271           0           S  28.00   male        0        0   9.5000
## 1272           0           S  28.00   male        0        0   9.5000
## 1273           0           S  47.00   male        0        0   9.0000
## 1274           0           S  18.00 female        2        0  18.0000
## 1275           0           S  31.00   male        3        0  18.0000
## 1276           0           S  16.00   male        2        0  18.0000
## 1277           0           S  31.00 female        1        0  18.0000
## 1278           1           C  22.00   male        0        0   7.2250
## 1279           0           S  20.00   male        0        0   7.8542
## 1280           0           S  14.00 female        0        0   7.8542
## 1281           0           S  22.00   male        0        0   7.8958
## 1282           0           S  22.00   male        0        0   9.0000
## 1286           0           S  32.50   male        0        0   9.5000
## 1287           1           C  38.00 female        0        0   7.2292
## 1288           0           S  51.00   male        0        0   7.7500
## 1289           0           S  18.00   male        1        0   6.4958
## 1290           0           S  21.00   male        1        0   6.4958
## 1291           1           S  47.00 female        1        0   7.0000
## 1295           0           S  28.50   male        0        0  16.1000
## 1296           0           S  21.00   male        0        0   7.2500
## 1297           0           S  27.00   male        0        0   8.6625
## 1299           0           S  36.00   male        0        0   9.5000
## 1300           0           C  27.00   male        1        0  14.4542
## 1301           1           C  15.00 female        1        0  14.4542
## 1302           0           C  45.50   male        0        0   7.2250
## 1305           0           C  14.50 female        1        0  14.4542
## 1307           0           C  26.50   male        0        0   7.2250
## 1308           0           C  27.00   male        0        0   7.2250
## 1309           0           S  29.00   male        0        0   7.8750
summary(titanic_noNA)
##   T5.survived     T5.embarked            T5.age         T5.sex         
##  Min.   :0.0000   Length:1043        Min.   : 0.17   Length:1043       
##  1st Qu.:0.0000   Class :character   1st Qu.:21.00   Class :character  
##  Median :0.0000   Mode  :character   Median :28.00   Mode  :character  
##  Mean   :0.4075                      Mean   :29.81                     
##  3rd Qu.:1.0000                      3rd Qu.:39.00                     
##  Max.   :1.0000                      Max.   :80.00                     
##     T5.sibsp         T5.parch         T5.fare      
##  Min.   :0.0000   Min.   :0.0000   Min.   :  0.00  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:  8.05  
##  Median :0.0000   Median :0.0000   Median : 15.75  
##  Mean   :0.5043   Mean   :0.4219   Mean   : 36.60  
##  3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.: 35.08  
##  Max.   :8.0000   Max.   :6.0000   Max.   :512.33
dim(titanic)   ### titanic with NA
## [1] 1309    7
dim(titanic_noNA)   #### Titanic without NA
## [1] 1043    7
ncol(titanic_noNA)
## [1] 7
str(titanic_noNA)
## 'data.frame':    1043 obs. of  7 variables:
##  $ T5.survived: num  1 1 0 0 0 1 1 0 1 0 ...
##  $ T5.embarked: chr  "S" "S" "S" "S" ...
##  $ T5.age     : num  29 0.92 2 30 25 48 63 39 53 71 ...
##  $ T5.sex     : chr  "female" "male" "female" "male" ...
##  $ T5.sibsp   : num  0 1 1 1 1 0 1 0 2 0 ...
##  $ T5.parch   : num  0 2 2 2 2 0 0 0 0 0 ...
##  $ T5.fare    : num  211 152 152 152 152 ...
##  - attr(*, "na.action")= 'omit' Named int [1:266] 16 38 41 47 60 70 71 75 81 107 ...
##   ..- attr(*, "names")= chr [1:266] "16" "38" "41" "47" ...
titanic_noNA
##      T5.survived T5.embarked T5.age T5.sex T5.sibsp T5.parch  T5.fare
## 1              1           S  29.00 female        0        0 211.3375
## 2              1           S   0.92   male        1        2 151.5500
## 3              0           S   2.00 female        1        2 151.5500
## 4              0           S  30.00   male        1        2 151.5500
## 5              0           S  25.00 female        1        2 151.5500
## 6              1           S  48.00   male        0        0  26.5500
## 7              1           S  63.00 female        1        0  77.9583
## 8              0           S  39.00   male        0        0   0.0000
## 9              1           S  53.00 female        2        0  51.4792
## 10             0           C  71.00   male        0        0  49.5042
## 11             0           C  47.00   male        1        0 227.5250
## 12             1           C  18.00 female        1        0 227.5250
## 13             1           C  24.00 female        0        0  69.3000
## 14             1           S  26.00 female        0        0  78.8500
## 15             1           S  80.00   male        0        0  30.0000
## 17             0           C  24.00   male        0        1 247.5208
## 18             1           C  50.00 female        0        1 247.5208
## 19             1           C  32.00 female        0        0  76.2917
## 20             0           C  36.00   male        0        0  75.2417
## 21             1           S  37.00   male        1        1  52.5542
## 22             1           S  47.00 female        1        1  52.5542
## 23             1           C  26.00   male        0        0  30.0000
## 24             1           C  42.00 female        0        0 227.5250
## 25             1           S  29.00 female        0        0 221.7792
## 26             0           C  25.00   male        0        0  26.0000
## 27             1           C  25.00   male        1        0  91.0792
## 28             1           C  19.00 female        1        0  91.0792
## 29             1           S  35.00 female        0        0 135.6333
## 30             1           S  28.00   male        0        0  26.5500
## 31             0           S  45.00   male        0        0  35.5000
## 32             1           C  40.00   male        0        0  31.0000
## 33             1           S  30.00 female        0        0 164.8667
## 34             1           S  58.00 female        0        0  26.5500
## 35             0           S  42.00   male        0        0  26.5500
## 36             1           C  45.00 female        0        0 262.3750
## 37             1           S  22.00 female        0        1  55.0000
## 39             0           S  41.00   male        0        0  30.5000
## 40             0           C  48.00   male        0        0  50.4958
## 42             1           C  44.00 female        0        0  27.7208
## 43             1           S  59.00 female        2        0  51.4792
## 44             1           C  60.00 female        0        0  76.2917
## 45             1           C  41.00 female        0        0 134.5000
## 46             0           S  45.00   male        0        0  26.5500
## 48             1           S  42.00   male        0        0  26.2875
## 49             1           C  53.00 female        0        0  27.4458
## 50             1           C  36.00   male        0        1 512.3292
## 51             1           C  58.00 female        0        1 512.3292
## 52             0           S  33.00   male        0        0   5.0000
## 53             0           S  28.00   male        0        0  47.1000
## 54             0           S  17.00   male        0        0  47.1000
## 55             1           S  11.00   male        1        2 120.0000
## 56             1           S  14.00 female        1        2 120.0000
## 57             1           S  36.00   male        1        2 120.0000
## 58             1           S  36.00 female        1        2 120.0000
## 59             0           S  49.00   male        0        0  26.0000
## 61             0           S  36.00   male        1        0  78.8500
## 62             1           S  76.00 female        1        0  78.8500
## 63             0           S  46.00   male        1        0  61.1750
## 64             1           S  47.00 female        1        0  61.1750
## 65             1           S  27.00   male        1        0  53.1000
## 66             1           S  33.00 female        1        0  53.1000
## 67             1           C  36.00 female        0        0 262.3750
## 68             1           S  30.00 female        0        0  86.5000
## 69             1           C  45.00   male        0        0  29.7000
## 72             0           C  27.00   male        1        0 136.7792
## 73             1           C  26.00 female        1        0 136.7792
## 74             1           S  22.00 female        0        0 151.5500
## 76             0           S  47.00   male        0        0  25.5875
## 77             1           C  39.00 female        1        1  83.1583
## 78             0           C  37.00   male        1        1  83.1583
## 79             1           C  64.00 female        0        2  83.1583
## 80             1           S  55.00 female        2        0  25.7000
## 82             0           S  70.00   male        1        1  71.0000
## 83             1           S  36.00 female        0        2  71.0000
## 84             1           S  64.00 female        1        1  26.5500
## 85             0           C  39.00   male        1        0  71.2833
## 86             1           C  38.00 female        1        0  71.2833
## 87             1           S  51.00   male        0        0  26.5500
## 88             1           S  27.00   male        0        0  30.5000
## 89             1           S  33.00 female        0        0 151.5500
## 90             0           S  31.00   male        1        0  52.0000
## 91             1           S  27.00 female        1        2  52.0000
## 92             1           S  31.00   male        1        0  57.0000
## 93             1           S  17.00 female        1        0  57.0000
## 94             1           S  53.00   male        1        1  81.8583
## 95             1           S   4.00   male        0        2  81.8583
## 96             1           S  54.00 female        1        1  81.8583
## 97             0           C  50.00   male        1        0 106.4250
## 98             1           C  27.00 female        1        1 247.5208
## 99             1           C  48.00 female        1        0 106.4250
## 100            1           C  48.00 female        1        0  39.6000
## 101            1           C  49.00   male        1        0  56.9292
## 102            0           C  39.00   male        0        0  29.7000
## 103            1           C  23.00 female        0        1  83.1583
## 104            1           C  38.00 female        0        0 227.5250
## 105            1           C  54.00 female        1        0  78.2667
## 106            0           C  36.00 female        0        0  31.6792
## 110            1           S  36.00   male        0        0  26.3875
## 111            0           C  30.00   male        0        0  27.7500
## 112            1           S  24.00 female        3        2 263.0000
## 113            1           S  28.00 female        3        2 263.0000
## 114            1           S  23.00 female        3        2 263.0000
## 115            0           S  19.00   male        3        2 263.0000
## 116            0           S  64.00   male        1        4 263.0000
## 117            1           S  60.00 female        1        4 263.0000
## 118            1           C  30.00 female        0        0  56.9292
## 120            1           S  50.00   male        2        0 133.6500
## 121            1           C  43.00   male        1        0  27.7208
## 123            1           C  22.00 female        0        2  49.5000
## 124            1           C  60.00   male        1        1  79.2000
## 125            1           C  48.00 female        1        1  79.2000
## 127            0           S  37.00   male        1        0  53.1000
## 128            1           S  35.00 female        1        0  53.1000
## 129            0           S  47.00   male        0        0  38.5000
## 130            1           C  35.00 female        0        0 211.5000
## 131            1           C  22.00 female        0        1  59.4000
## 132            1           C  45.00 female        0        1  59.4000
## 133            0           C  24.00   male        0        0  79.2000
## 134            1           C  49.00   male        1        0  89.1042
## 136            0           C  71.00   male        0        0  34.6542
## 137            1           C  53.00   male        0        0  28.5000
## 138            1           S  19.00 female        0        0  30.0000
## 139            0           S  38.00   male        0        1 153.4625
## 140            1           S  58.00 female        0        1 153.4625
## 141            1           C  23.00   male        0        1  63.3583
## 142            1           C  45.00 female        0        1  63.3583
## 143            0           C  46.00   male        0        0  79.2000
## 144            1           C  25.00   male        1        0  55.4417
## 145            1           C  25.00 female        1        0  55.4417
## 146            1           C  48.00   male        1        0  76.7292
## 147            1           C  49.00 female        1        0  76.7292
## 149            0           S  45.00   male        1        0  83.4750
## 150            1           S  35.00 female        1        0  83.4750
## 151            0           S  40.00   male        0        0   0.0000
## 152            1           C  27.00   male        0        0  76.7292
## 154            1           C  24.00 female        0        0  83.1583
## 155            0           S  55.00   male        1        1  93.5000
## 156            1           S  52.00 female        1        1  93.5000
## 157            0           S  42.00   male        0        0  42.5000
## 159            0           S  55.00   male        0        0  50.0000
## 160            1           C  16.00 female        0        1  57.9792
## 161            1           C  44.00 female        0        1  57.9792
## 162            1           S  51.00 female        1        0  77.9583
## 163            0           S  42.00   male        1        0  52.0000
## 164            1           S  35.00 female        1        0  52.0000
## 165            1           C  35.00   male        0        0  26.5500
## 166            1           S  38.00   male        1        0  90.0000
## 168            1           S  35.00 female        1        0  90.0000
## 170            0           C  50.00 female        0        0  28.7125
## 171            1           S  49.00   male        0        0   0.0000
## 172            0           S  46.00   male        0        0  26.0000
## 173            0           S  50.00   male        0        0  26.0000
## 174            0           C  32.50   male        0        0 211.5000
## 175            0           C  58.00   male        0        0  29.7000
## 176            0           S  41.00   male        1        0  51.8625
## 178            1           S  42.00   male        1        0  52.5542
## 179            1           S  45.00 female        1        0  52.5542
## 181            1           S  39.00 female        0        0 211.3375
## 182            1           S  49.00 female        0        0  25.9292
## 183            1           C  30.00 female        0        0 106.4250
## 184            1           C  35.00   male        0        0 512.3292
## 186            0           S  42.00   male        0        0  26.5500
## 187            1           C  55.00 female        0        0  27.7208
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## 1058           1           C  14.00 female        1        0  11.2417
## 1059           0           S  29.00 female        0        0   7.9250
## 1060           0           S  28.00   male        0        0   8.0500
## 1061           1           S  18.00 female        0        0   7.7750
## 1062           1           S  26.00 female        0        0   7.8542
## 1063           0           S  21.00   male        0        0   7.8542
## 1064           0           S  41.00   male        0        0   7.1250
## 1065           1           S  39.00   male        0        0   7.9250
## 1066           0           S  21.00   male        0        0   7.8000
## 1067           0           C  28.50   male        0        0   7.2292
## 1068           1           S  22.00 female        0        0   7.7500
## 1069           0           S  61.00   male        0        0   6.2375
## 1076           0           S  23.00   male        0        0   9.2250
## 1080           1           S  22.00 female        0        0   7.7750
## 1083           1           S   9.00   male        0        1   3.1708
## 1084           0           S  28.00   male        0        0  22.5250
## 1085           0           S  42.00   male        0        1   8.4042
## 1087           0           S  31.00 female        0        0   7.8542
## 1088           0           S  28.00   male        0        0   7.8542
## 1089           1           S  32.00   male        0        0   7.7750
## 1090           0           S  20.00   male        0        0   9.2250
## 1091           0           S  23.00 female        0        0   8.6625
## 1092           0           S  20.00 female        0        0   8.6625
## 1093           0           S  20.00   male        0        0   8.6625
## 1094           0           S  16.00   male        0        0   9.2167
## 1095           1           S  31.00 female        0        0   8.6833
## 1097           0           S   2.00   male        3        1  21.0750
## 1098           0           S   6.00   male        3        1  21.0750
## 1099           0           S   3.00 female        3        1  21.0750
## 1100           0           S   8.00 female        3        1  21.0750
## 1101           0           S  29.00 female        0        4  21.0750
## 1102           0           S   1.00   male        4        1  39.6875
## 1103           0           S   7.00   male        4        1  39.6875
## 1104           0           S   2.00   male        4        1  39.6875
## 1105           0           S  16.00   male        4        1  39.6875
## 1106           0           S  14.00   male        4        1  39.6875
## 1107           0           S  41.00 female        0        5  39.6875
## 1108           0           S  21.00   male        0        0   8.6625
## 1109           0           S  19.00   male        0        0  14.5000
## 1111           0           S  32.00   male        0        0   7.8958
## 1112           0           S   0.75   male        1        1  13.7750
## 1113           0           S   3.00 female        1        1  13.7750
## 1114           0           S  26.00 female        0        2  13.7750
## 1118           0           S  21.00   male        0        0   7.9250
## 1119           0           S  25.00   male        0        0   7.9250
## 1120           0           S  22.00   male        0        0   7.2500
## 1121           1           S  25.00   male        1        0   7.7750
## 1126           0           S  24.00   male        0        0   8.0500
## 1127           0           S  28.00 female        0        0   7.8958
## 1128           0           S  19.00   male        0        0   7.8958
## 1130           0           S  25.00   male        1        0   7.7750
## 1131           0           S  18.00 female        0        0   7.7750
## 1132           1           S  32.00   male        0        0   8.0500
## 1134           0           S  17.00   male        0        0   8.6625
## 1135           0           S  24.00   male        0        0   8.6625
## 1140           0           S  38.00   male        0        0   7.8958
## 1141           0           S  21.00   male        0        0   8.0500
## 1142           0           Q  10.00   male        4        1  29.1250
## 1143           0           Q   4.00   male        4        1  29.1250
## 1144           0           Q   7.00   male        4        1  29.1250
## 1145           0           Q   2.00   male        4        1  29.1250
## 1146           0           Q   8.00   male        4        1  29.1250
## 1147           0           Q  39.00 female        0        5  29.1250
## 1148           0           S  22.00 female        0        0  39.6875
## 1149           0           S  35.00   male        0        0   7.1250
## 1153           0           S  50.00   male        1        0  14.5000
## 1154           0           S  47.00 female        1        0  14.5000
## 1157           0           S   2.00 female        1        1  20.2125
## 1158           0           S  18.00   male        1        1  20.2125
## 1159           0           S  41.00 female        0        2  20.2125
## 1161           0           S  50.00   male        0        0   8.0500
## 1162           0           S  16.00   male        0        0   8.0500
## 1166           0           C  25.00   male        0        0   7.2250
## 1170           0           S  38.50   male        0        0   7.2500
## 1172           0           S  14.50   male        8        2  69.5500
## 1182           0           S  24.00   male        0        0   9.3250
## 1183           1           S  21.00 female        0        0   7.6500
## 1184           0           S  39.00   male        0        0   7.9250
## 1188           1           S   1.00 female        1        1  16.7000
## 1189           1           S  24.00 female        0        2  16.7000
## 1190           1           S   4.00 female        1        1  16.7000
## 1191           1           S  25.00   male        0        0   9.5000
## 1192           0           S  20.00   male        0        0   8.0500
## 1193           0           S  24.50   male        0        0   8.0500
## 1197           1           S  29.00   male        0        0   9.5000
## 1202           0           C  22.00   male        0        0   7.2292
## 1204           0           S  40.00   male        0        0   7.8958
## 1205           0           S  21.00   male        0        0   7.9250
## 1206           1           S  18.00 female        0        0   7.4958
## 1207           0           S   4.00   male        3        2  27.9000
## 1208           0           S  10.00   male        3        2  27.9000
## 1209           0           S   9.00 female        3        2  27.9000
## 1210           0           S   2.00 female        3        2  27.9000
## 1211           0           S  40.00   male        1        4  27.9000
## 1212           0           S  45.00 female        1        4  27.9000
## 1218           0           S  19.00   male        0        0   7.6500
## 1219           0           S  30.00   male        0        0   8.0500
## 1221           0           S  32.00   male        0        0   8.0500
## 1223           0           C  33.00   male        0        0   8.6625
## 1224           1           S  23.00 female        0        0   7.5500
## 1225           0           S  21.00   male        0        0   8.0500
## 1227           0           S  19.00   male        0        0   7.8958
## 1228           0           S  22.00 female        0        0   9.8375
## 1229           1           S  31.00   male        0        0   7.9250
## 1230           0           S  27.00   male        0        0   8.6625
## 1231           0           S   2.00 female        0        1  10.4625
## 1232           0           S  29.00 female        1        1  10.4625
## 1233           1           S  16.00   male        0        0   8.0500
## 1234           1           S  44.00   male        0        0   7.9250
## 1235           0           S  25.00   male        0        0   7.0500
## 1236           0           S  74.00   male        0        0   7.7750
## 1237           1           S  14.00   male        0        0   9.2250
## 1238           0           S  24.00   male        0        0   7.7958
## 1239           1           S  25.00   male        0        0   7.7958
## 1240           0           S  34.00   male        0        0   8.0500
## 1241           1           C   0.42   male        0        1   8.5167
## 1245           1           C  16.00 female        1        1   8.5167
## 1249           0           S  32.00   male        0        0   7.9250
## 1252           0           S  30.50   male        0        0   8.0500
## 1253           0           S  44.00   male        0        0   8.0500
## 1255           1           S  25.00   male        0        0   0.0000
## 1257           1           C   7.00   male        1        1  15.2458
## 1258           1           C   9.00 female        1        1  15.2458
## 1259           1           C  29.00 female        0        2  15.2458
## 1260           0           S  36.00   male        0        0   7.8958
## 1261           1           S  18.00 female        0        0   9.8417
## 1262           1           S  63.00 female        0        0   9.5875
## 1264           0           S  11.50   male        1        1  14.5000
## 1265           0           S  40.50   male        0        2  14.5000
## 1266           0           S  10.00 female        0        2  24.1500
## 1267           0           S  36.00   male        1        1  24.1500
## 1268           0           S  30.00 female        1        1  24.1500
## 1270           0           S  33.00   male        0        0   9.5000
## 1271           0           S  28.00   male        0        0   9.5000
## 1272           0           S  28.00   male        0        0   9.5000
## 1273           0           S  47.00   male        0        0   9.0000
## 1274           0           S  18.00 female        2        0  18.0000
## 1275           0           S  31.00   male        3        0  18.0000
## 1276           0           S  16.00   male        2        0  18.0000
## 1277           0           S  31.00 female        1        0  18.0000
## 1278           1           C  22.00   male        0        0   7.2250
## 1279           0           S  20.00   male        0        0   7.8542
## 1280           0           S  14.00 female        0        0   7.8542
## 1281           0           S  22.00   male        0        0   7.8958
## 1282           0           S  22.00   male        0        0   9.0000
## 1286           0           S  32.50   male        0        0   9.5000
## 1287           1           C  38.00 female        0        0   7.2292
## 1288           0           S  51.00   male        0        0   7.7500
## 1289           0           S  18.00   male        1        0   6.4958
## 1290           0           S  21.00   male        1        0   6.4958
## 1291           1           S  47.00 female        1        0   7.0000
## 1295           0           S  28.50   male        0        0  16.1000
## 1296           0           S  21.00   male        0        0   7.2500
## 1297           0           S  27.00   male        0        0   8.6625
## 1299           0           S  36.00   male        0        0   9.5000
## 1300           0           C  27.00   male        1        0  14.4542
## 1301           1           C  15.00 female        1        0  14.4542
## 1302           0           C  45.50   male        0        0   7.2250
## 1305           0           C  14.50 female        1        0  14.4542
## 1307           0           C  26.50   male        0        0   7.2250
## 1308           0           C  27.00   male        0        0   7.2250
## 1309           0           S  29.00   male        0        0   7.8750
str(titanic_noNA)
## 'data.frame':    1043 obs. of  7 variables:
##  $ T5.survived: num  1 1 0 0 0 1 1 0 1 0 ...
##  $ T5.embarked: chr  "S" "S" "S" "S" ...
##  $ T5.age     : num  29 0.92 2 30 25 48 63 39 53 71 ...
##  $ T5.sex     : chr  "female" "male" "female" "male" ...
##  $ T5.sibsp   : num  0 1 1 1 1 0 1 0 2 0 ...
##  $ T5.parch   : num  0 2 2 2 2 0 0 0 0 0 ...
##  $ T5.fare    : num  211 152 152 152 152 ...
##  - attr(*, "na.action")= 'omit' Named int [1:266] 16 38 41 47 60 70 71 75 81 107 ...
##   ..- attr(*, "names")= chr [1:266] "16" "38" "41" "47" ...

#7) Make Survived embarked and sex as factors

titanic_noNA$T5.survived <- as.integer (factor(titanic_noNA$T5.survived))
titanic_noNA$T5.embarked <- as.integer (factor(titanic_noNA$T5.embarked))
titanic_noNA$T5.sex <- as.integer (factor(titanic_noNA$T5.sex))
str(titanic_noNA)
## 'data.frame':    1043 obs. of  7 variables:
##  $ T5.survived: int  2 2 1 1 1 2 2 1 2 1 ...
##  $ T5.embarked: int  3 3 3 3 3 3 3 3 3 1 ...
##  $ T5.age     : num  29 0.92 2 30 25 48 63 39 53 71 ...
##  $ T5.sex     : int  1 2 1 2 1 2 1 2 1 2 ...
##  $ T5.sibsp   : num  0 1 1 1 1 0 1 0 2 0 ...
##  $ T5.parch   : num  0 2 2 2 2 0 0 0 0 0 ...
##  $ T5.fare    : num  211 152 152 152 152 ...
##  - attr(*, "na.action")= 'omit' Named int [1:266] 16 38 41 47 60 70 71 75 81 107 ...
##   ..- attr(*, "names")= chr [1:266] "16" "38" "41" "47" ...

#8) Find the correlation matrix between survival and the other features

View(titanic_noNA)
cor(x=titanic_noNA[-1], y=titanic_noNA$T5.survived)
##                    [,1]
## T5.embarked -0.20225751
## T5.age      -0.05741486
## T5.sex      -0.53633212
## T5.sibsp    -0.01140343
## T5.parch     0.11543601
## T5.fare      0.24785762
cor(x=titanic_noNA$T5.survived, y= titanic_noNA[-1])
##      T5.embarked      T5.age     T5.sex    T5.sibsp T5.parch   T5.fare
## [1,]  -0.2022575 -0.05741486 -0.5363321 -0.01140343 0.115436 0.2478576
titanic_noNA.cor = cor(titanic_noNA)
corrplot(titanic_noNA.cor)

corrplot(titanic_noNA.cor, method = 'number')

corrplot(titanic_noNA.cor, order = 'hclust', addrect = 3)

#9) Plot survival with other features to see if any correlation exists

ggplot(titanic_noNA, aes(x=T5.survived, y=T5.fare))+geom_point()

ggplot(titanic_noNA, aes(x=T5.survived, y=T5.sex))+geom_point()

ggplot(data=titanic_noNA, mapping=aes(x=T5.survived,y=T5.fare)) + geom_point(mapping = aes(color=T5.sex)) 

ggplot(titanic_noNA, aes(x=T5.survived, y=T5.sex, color = "T5.sex"))+  geom_smooth(method = "loess") 
## `geom_smooth()` using formula = 'y ~ x'
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : pseudoinverse used at 0.995
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : neighborhood radius 1.005
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : reciprocal condition number 2.3403e-29
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : There are other near singularities as well. 1.01
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : pseudoinverse used at
## 0.995
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : neighborhood radius
## 1.005
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : reciprocal condition
## number 2.3403e-29
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : There are other near
## singularities as well. 1.01

ggplot(titanic_noNA, aes(x=T5.survived, y=T5.fare,color = "T5.fare"))+geom_smooth(method = "loess")
## `geom_smooth()` using formula = 'y ~ x'
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : pseudoinverse used at 0.995
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : neighborhood radius 1.005
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : reciprocal condition number 2.3403e-29
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : There are other near singularities as well. 1.01
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : pseudoinverse used at
## 0.995
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : neighborhood radius
## 1.005
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : reciprocal condition
## number 2.3403e-29
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : There are other near
## singularities as well. 1.01

ggplot(titanic_noNA, aes(x=T5.survived, y=T5.age,color = "T5.age"))+geom_smooth(method = "loess")
## `geom_smooth()` using formula = 'y ~ x'
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : pseudoinverse used at 0.995
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : neighborhood radius 1.005
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : reciprocal condition number 2.3403e-29
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : There are other near singularities as well. 1.01
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : pseudoinverse used at
## 0.995
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : neighborhood radius
## 1.005
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : reciprocal condition
## number 2.3403e-29
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : There are other near
## singularities as well. 1.01

ggplot(titanic_noNA, aes(x=T5.survived, y=T5.sibsp,color = "T5.sibsp"))+geom_smooth(method = "loess")
## `geom_smooth()` using formula = 'y ~ x'
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : pseudoinverse used at 0.995
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : neighborhood radius 1.005
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : reciprocal condition number 2.3403e-29
## Warning in simpleLoess(y, x, w, span, degree = degree, parametric = parametric,
## : There are other near singularities as well. 1.01
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : pseudoinverse used at
## 0.995
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : neighborhood radius
## 1.005
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : reciprocal condition
## number 2.3403e-29
## Warning in predLoess(object$y, object$x, newx = if (is.null(newdata)) object$x
## else if (is.data.frame(newdata))
## as.matrix(model.frame(delete.response(terms(object)), : There are other near
## singularities as well. 1.01

##Using ggpairs

ggpairs(titanic_noNA)

ggpairs(titanic,columns = 1:7,aes(color =T5.sex  , alpha = 0.5))
## Warning in ggally_statistic(data = data, mapping = mapping, na.rm = na.rm, :
## Removed 263 rows containing missing values
## Warning in ggally_statistic(data = data, mapping = mapping, na.rm = na.rm, :
## Removing 1 row that contained a missing value
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 2 rows containing missing values (`stat_boxplot()`).
## Warning: Removed 263 rows containing non-finite values (`stat_boxplot()`).
## Warning: Removed 2 rows containing non-finite values (`stat_g_gally_count()`).
## Warning: Removed 2 rows containing missing values (`stat_boxplot()`).
## Removed 2 rows containing missing values (`stat_boxplot()`).
## Removed 2 rows containing missing values (`stat_boxplot()`).
## Warning: Removed 1 rows containing non-finite values (`stat_boxplot()`).
## Warning: Removed 263 rows containing missing values (`geom_point()`).
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 263 rows containing non-finite values (`stat_bin()`).
## Warning: Removed 263 rows containing non-finite values (`stat_density()`).
## Warning: Removed 263 rows containing non-finite values (`stat_boxplot()`).
## Warning in ggally_statistic(data = data, mapping = mapping, na.rm = na.rm, :
## Removed 263 rows containing missing values

## Warning in ggally_statistic(data = data, mapping = mapping, na.rm = na.rm, :
## Removed 263 rows containing missing values
## Warning in ggally_statistic(data = data, mapping = mapping, na.rm = na.rm, :
## Removed 264 rows containing missing values
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 263 rows containing non-finite values (`stat_bin()`).
## Warning: Removed 1 rows containing non-finite values (`stat_boxplot()`).
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 263 rows containing missing values (`geom_point()`).
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning in ggally_statistic(data = data, mapping = mapping, na.rm = na.rm, :
## Removing 1 row that contained a missing value
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 263 rows containing missing values (`geom_point()`).
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning in ggally_statistic(data = data, mapping = mapping, na.rm = na.rm, :
## Removing 1 row that contained a missing value
## Warning: Removed 1 rows containing missing values (`geom_point()`).
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 1 rows containing non-finite values (`stat_bin()`).
## Warning: Removed 264 rows containing missing values (`geom_point()`).
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 1 rows containing non-finite values (`stat_bin()`).
## Warning: Removed 1 rows containing missing values (`geom_point()`).
## Removed 1 rows containing missing values (`geom_point()`).
## Warning: Removed 1 rows containing non-finite values (`stat_density()`).

#####10 and 11) Spliting dataset to training and test in ration 80:20

set.seed(1000)
sample <- sample.split(titanic_noNA$T5.survived, SplitRatio = 0.8) 
training_dataset2  <- subset(titanic_noNA, sample == TRUE) 
count(training_dataset2) ###834 
##     n
## 1 834
testing_dataset2   <- subset(titanic_noNA, sample == FALSE) 
count (testing_dataset2)  ### 209
##     n
## 1 209

#####12 and 13) Using RPART

fit <- rpart(T5.survived ~ T5.sex + T5.age + T5.sibsp + T5.parch + T5.fare + T5.embarked, data=training_dataset2, method="class")
fit
## n= 834 
## 
## node), split, n, loss, yval, (yprob)
##       * denotes terminal node
## 
##  1) root 834 340 1 (0.59232614 0.40767386)  
##    2) T5.sex>=1.5 521 108 1 (0.79270633 0.20729367)  
##      4) T5.age>=9.5 489  90 1 (0.81595092 0.18404908) *
##      5) T5.age< 9.5 32  14 2 (0.43750000 0.56250000)  
##       10) T5.sibsp>=2.5 12   1 1 (0.91666667 0.08333333) *
##       11) T5.sibsp< 2.5 20   3 2 (0.15000000 0.85000000) *
##    3) T5.sex< 1.5 313  81 2 (0.25878594 0.74121406)  
##      6) T5.fare< 48.2 219  78 2 (0.35616438 0.64383562)  
##       12) T5.fare< 10.48125 58  26 1 (0.55172414 0.44827586)  
##         24) T5.fare>=7.72915 43  14 1 (0.67441860 0.32558140) *
##         25) T5.fare< 7.72915 15   3 2 (0.20000000 0.80000000) *
##       13) T5.fare>=10.48125 161  46 2 (0.28571429 0.71428571)  
##         26) T5.sibsp>=2.5 9   1 1 (0.88888889 0.11111111) *
##         27) T5.sibsp< 2.5 152  38 2 (0.25000000 0.75000000)  
##           54) T5.parch>=3.5 7   1 1 (0.85714286 0.14285714) *
##           55) T5.parch< 3.5 145  32 2 (0.22068966 0.77931034) *
##      7) T5.fare>=48.2 94   3 2 (0.03191489 0.96808511) *
14, 15 and 16) Ploting and saving the fit treee
png("C:/GGTUAN/DREAMS/Yankee/TSU/MSc_TSU/Spring_2024/CS-583 Data Minning/rpart_tree.png")
rpart.plot(fit, extra = 106)

png("C:/GGTUAN/DREAMS/Yankee/TSU/MSc_TSU/Spring_2024/CS-583 Data Minning/fancy_rpart_tree.png")
fancyRpartPlot(fit, caption=NULL)
dev.off() 
## png 
##   2
17) Examine the tree you obtained. What is the most “important” feature over which the tree first split? Do you agree with the Titanic slogan “ Women and children first!”

Yes very obvious Sex and age were predominant factors

fit$variable.importance
##      T5.sex     T5.fare    T5.parch    T5.sibsp      T5.age T5.embarked 
##  111.480529   36.749245   19.300397   18.165960   12.420656    3.247549
names(fit)
##  [1] "frame"               "where"               "call"               
##  [4] "terms"               "cptable"             "method"             
##  [7] "parms"               "control"             "functions"          
## [10] "numresp"             "splits"              "variable.importance"
## [13] "y"                   "ordered"
printcp(fit)
## 
## Classification tree:
## rpart(formula = T5.survived ~ T5.sex + T5.age + T5.sibsp + T5.parch + 
##     T5.fare + T5.embarked, data = training_dataset2, method = "class")
## 
## Variables actually used in tree construction:
## [1] T5.age   T5.fare  T5.parch T5.sex   T5.sibsp
## 
## Root node error: 340/834 = 0.40767
## 
## n= 834 
## 
##         CP nsplit rel error  xerror     xstd
## 1 0.444118      0   1.00000 1.00000 0.041739
## 2 0.020588      1   0.55588 0.55588 0.035559
## 3 0.014706      3   0.51471 0.55588 0.035559
## 4 0.010000      8   0.43529 0.54412 0.035290

###18) Use the predict function with your model fit to make predictions on the test dataset and save it in a variable Prediction

Prediction <- predict(fit, testing_dataset2, type = "class")
Prediction
##   10   23   33   40   44   54   55   61   66   73   82   94  100  103  105  116 
##    1    1    2    1    2    1    1    1    2    2    1    1    2    2    2    1 
##  120  132  145  146  151  173  178  184  190  194  198  213  214  215  217  239 
##    1    2    2    1    1    1    1    1    1    2    1    1    2    2    2    2 
##  245  246  260  264  267  273  277  281  282  286  290  293  295  296  297  301 
##    1    2    1    2    1    2    1    1    2    1    2    1    1    1    2    1 
##  302  307  312  317  320  323  324  325  330  335  336  346  348  355  359  362 
##    1    1    2    1    2    2    1    2    2    1    1    1    1    1    2    2 
##  381  384  387  392  403  405  407  410  415  416  417  423  425  428  441  442 
##    2    1    1    1    2    1    1    1    1    2    1    1    1    2    2    2 
##  445  451  464  468  473  476  480  483  491  495  498  500  502  516  517  528 
##    1    1    1    2    1    2    2    2    2    2    1    1    2    2    1    1 
##  531  544  545  546  550  556  557  559  568  569  579  581  584  588  593  597 
##    1    1    1    1    2    1    1    2    1    1    1    2    2    2    1    1 
##  603  604  607  610  619  624  628  630  641  644  646  655  656  666  670  678 
##    1    2    1    1    1    1    1    1    1    1    1    1    1    2    1    1 
##  680  685  688  695  700  703  704  708  710  711  715  716  725  726  728  733 
##    2    2    1    1    1    1    1    1    1    1    1    1    1    1    1    1 
##  734  737  738  743  749  751  760  766  767  773  775  785  792  815  822  831 
##    2    1    1    1    1    1    2    2    1    1    1    1    1    1    1    1 
##  863  868  882  892  896  897  906  911  914  918  920  940  968  975  981  987 
##    1    2    1    1    2    1    1    1    1    1    1    2    1    1    1    1 
## 1008 1022 1025 1059 1061 1062 1067 1068 1069 1083 1090 1095 1097 1104 1106 1118 
##    1    1    1    1    1    1    1    1    1    2    1    1    1    1    1    1 
## 1145 1148 1158 1161 1183 1208 1223 1230 1257 1258 1272 1276 1277 1279 1290 1296 
##    1    2    1    1    2    1    1    1    2    2    1    1    2    1    1    1 
## 1297 
##    1 
## Levels: 1 2

###19) Save the results in a data frame Results that will have two columns 1: PassengerSex =test$Sex, and 2: Survived = Prediction

PassengerSex <- testing_dataset2$T5.survived
PassengerSex
##   [1] 1 2 2 1 2 1 2 1 2 2 1 2 2 2 2 1 2 2 2 2 1 1 2 2 1 2 1 1 2 2 2 2 1 2 2 2 1
##  [38] 2 1 2 2 1 2 2 1 2 2 1 1 1 2 1 2 2 1 2 2 1 1 1 1 1 2 2 2 1 1 1 2 1 1 1 1 2
##  [75] 1 1 1 2 2 2 1 1 1 2 1 1 2 2 1 2 1 1 2 2 1 1 1 1 1 2 2 1 1 2 1 1 1 2 2 2 1
## [112] 2 1 2 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 2 1 1 2 1 1 2
## [149] 1 1 2 2 1 1 1 1 1 1 1 1 2 2 2 1 2 1 2 1 2 2 1 1 1 1 2 1 2 1 1 1 2 2 1 2 1
## [186] 2 1 2 1 1 1 1 1 1 1 1 2 1 1 1 2 2 1 1 1 1 1 1 1
Survived <- Prediction
Survived
##   10   23   33   40   44   54   55   61   66   73   82   94  100  103  105  116 
##    1    1    2    1    2    1    1    1    2    2    1    1    2    2    2    1 
##  120  132  145  146  151  173  178  184  190  194  198  213  214  215  217  239 
##    1    2    2    1    1    1    1    1    1    2    1    1    2    2    2    2 
##  245  246  260  264  267  273  277  281  282  286  290  293  295  296  297  301 
##    1    2    1    2    1    2    1    1    2    1    2    1    1    1    2    1 
##  302  307  312  317  320  323  324  325  330  335  336  346  348  355  359  362 
##    1    1    2    1    2    2    1    2    2    1    1    1    1    1    2    2 
##  381  384  387  392  403  405  407  410  415  416  417  423  425  428  441  442 
##    2    1    1    1    2    1    1    1    1    2    1    1    1    2    2    2 
##  445  451  464  468  473  476  480  483  491  495  498  500  502  516  517  528 
##    1    1    1    2    1    2    2    2    2    2    1    1    2    2    1    1 
##  531  544  545  546  550  556  557  559  568  569  579  581  584  588  593  597 
##    1    1    1    1    2    1    1    2    1    1    1    2    2    2    1    1 
##  603  604  607  610  619  624  628  630  641  644  646  655  656  666  670  678 
##    1    2    1    1    1    1    1    1    1    1    1    1    1    2    1    1 
##  680  685  688  695  700  703  704  708  710  711  715  716  725  726  728  733 
##    2    2    1    1    1    1    1    1    1    1    1    1    1    1    1    1 
##  734  737  738  743  749  751  760  766  767  773  775  785  792  815  822  831 
##    2    1    1    1    1    1    2    2    1    1    1    1    1    1    1    1 
##  863  868  882  892  896  897  906  911  914  918  920  940  968  975  981  987 
##    1    2    1    1    2    1    1    1    1    1    1    2    1    1    1    1 
## 1008 1022 1025 1059 1061 1062 1067 1068 1069 1083 1090 1095 1097 1104 1106 1118 
##    1    1    1    1    1    1    1    1    1    2    1    1    1    1    1    1 
## 1145 1148 1158 1161 1183 1208 1223 1230 1257 1258 1272 1276 1277 1279 1290 1296 
##    1    2    1    1    2    1    1    1    2    2    1    1    2    1    1    1 
## 1297 
##    1 
## Levels: 1 2
test_df <- data.frame(PassengerSex, Survived)
test_df
##      PassengerSex Survived
## 10              1        1
## 23              2        1
## 33              2        2
## 40              1        1
## 44              2        2
## 54              1        1
## 55              2        1
## 61              1        1
## 66              2        2
## 73              2        2
## 82              1        1
## 94              2        1
## 100             2        2
## 103             2        2
## 105             2        2
## 116             1        1
## 120             2        1
## 132             2        2
## 145             2        2
## 146             2        1
## 151             1        1
## 173             1        1
## 178             2        1
## 184             2        1
## 190             1        1
## 194             2        2
## 198             1        1
## 213             1        1
## 214             2        2
## 215             2        2
## 217             2        2
## 239             2        2
## 245             1        1
## 246             2        2
## 260             2        1
## 264             2        2
## 267             1        1
## 273             2        2
## 277             1        1
## 281             2        1
## 282             2        2
## 286             1        1
## 290             2        2
## 293             2        1
## 295             1        1
## 296             2        1
## 297             2        2
## 301             1        1
## 302             1        1
## 307             1        1
## 312             2        2
## 317             1        1
## 320             2        2
## 323             2        2
## 324             1        1
## 325             2        2
## 330             2        2
## 335             1        1
## 336             1        1
## 346             1        1
## 348             1        1
## 355             1        1
## 359             2        2
## 362             2        2
## 381             2        2
## 384             1        1
## 387             1        1
## 392             1        1
## 403             2        2
## 405             1        1
## 407             1        1
## 410             1        1
## 415             1        1
## 416             2        2
## 417             1        1
## 423             1        1
## 425             1        1
## 428             2        2
## 441             2        2
## 442             2        2
## 445             1        1
## 451             1        1
## 464             1        1
## 468             2        2
## 473             1        1
## 476             1        2
## 480             2        2
## 483             2        2
## 491             1        2
## 495             2        2
## 498             1        1
## 500             1        1
## 502             2        2
## 516             2        2
## 517             1        1
## 528             1        1
## 531             1        1
## 544             1        1
## 545             1        1
## 546             2        1
## 550             2        2
## 556             1        1
## 557             1        1
## 559             2        2
## 568             1        1
## 569             1        1
## 579             1        1
## 581             2        2
## 584             2        2
## 588             2        2
## 593             1        1
## 597             2        1
## 603             1        1
## 604             2        2
## 607             2        1
## 610             1        1
## 619             1        1
## 624             1        1
## 628             1        1
## 630             1        1
## 641             1        1
## 644             2        1
## 646             2        1
## 655             1        1
## 656             1        1
## 666             1        2
## 670             1        1
## 678             1        1
## 680             1        2
## 685             1        2
## 688             1        1
## 695             1        1
## 700             1        1
## 703             1        1
## 704             1        1
## 708             1        1
## 710             2        1
## 711             1        1
## 715             2        1
## 716             1        1
## 725             1        1
## 726             2        1
## 728             1        1
## 733             1        1
## 734             2        2
## 737             1        1
## 738             1        1
## 743             2        1
## 749             1        1
## 751             1        1
## 760             2        2
## 766             2        2
## 767             1        1
## 773             1        1
## 775             1        1
## 785             1        1
## 792             1        1
## 815             1        1
## 822             1        1
## 831             1        1
## 863             2        1
## 868             2        2
## 882             2        1
## 892             1        1
## 896             2        2
## 897             1        1
## 906             2        1
## 911             1        1
## 914             2        1
## 918             2        1
## 920             1        1
## 940             1        2
## 968             1        1
## 975             1        1
## 981             2        1
## 987             1        1
## 1008            2        1
## 1022            1        1
## 1025            1        1
## 1059            1        1
## 1061            2        1
## 1062            2        1
## 1067            1        1
## 1068            2        1
## 1069            1        1
## 1083            2        2
## 1090            1        1
## 1095            2        1
## 1097            1        1
## 1104            1        1
## 1106            1        1
## 1118            1        1
## 1145            1        1
## 1148            1        2
## 1158            1        1
## 1161            1        1
## 1183            2        2
## 1208            1        1
## 1223            1        1
## 1230            1        1
## 1257            2        2
## 1258            2        2
## 1272            1        1
## 1276            1        1
## 1277            1        2
## 1279            1        1
## 1290            1        1
## 1296            1        1
## 1297            1        1

####Making sense of the prediction and actual comparison

#Confusion Matric or CrossTable view
Conf_Matrix <- table(testing_dataset2$T5.survived, Prediction)
Conf_Matrix
##    Prediction
##       1   2
##   1 116   8
##   2  31  54
#Percentage Accuracy
accuracy_Test <- sum(diag(Conf_Matrix)) / sum(Conf_Matrix)
accuracy_Test         
## [1] 0.8133971

###20) Save your data frame in a .csv file by using

write.csv(test_df, file = "Titanicdtree.csv", row.names = FALSE)