rm(list=ls())
# install necessary packages
# install.packages("MASS")  # to use the student survey dataset provided by R. 
# install.packages("dplyr") 
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(ggplot2)
library(MASS)
## 
## Attaching package: 'MASS'
## The following object is masked from 'package:dplyr':
## 
##     select
df <- as.data.frame(MASS::survey) # Loading the survey dataset as a data frame

Take a look at what the survey data look like

df
##        Sex Wr.Hnd NW.Hnd W.Hnd    Fold Pulse    Clap Exer Smoke Height
## 1   Female   18.5   18.0 Right  R on L    92    Left Some Never 173.00
## 2     Male   19.5   20.5  Left  R on L   104    Left None Regul 177.80
## 3     Male   18.0   13.3 Right  L on R    87 Neither None Occas     NA
## 4     Male   18.8   18.9 Right  R on L    NA Neither None Never 160.00
## 5     Male   20.0   20.0 Right Neither    35   Right Some Never 165.00
## 6   Female   18.0   17.7 Right  L on R    64   Right Some Never 172.72
## 7     Male   17.7   17.7 Right  L on R    83   Right Freq Never 182.88
## 8   Female   17.0   17.3 Right  R on L    74   Right Freq Never 157.00
## 9     Male   20.0   19.5 Right  R on L    72   Right Some Never 175.00
## 10    Male   18.5   18.5 Right  R on L    90   Right Some Never 167.00
## 11  Female   17.0   17.2 Right  L on R    80   Right Freq Never 156.20
## 12    Male   21.0   21.0 Right  R on L    68    Left Freq Never     NA
## 13  Female   16.0   16.0 Right  L on R    NA   Right Some Never 155.00
## 14  Female   19.5   20.2 Right  L on R    66 Neither Some Never 155.00
## 15    Male   16.0   15.5 Right  R on L    60   Right Some Never     NA
## 16  Female   17.5   17.0 Right  R on L    NA   Right Freq Never 156.00
## 17  Female   18.0   18.0 Right  L on R    89 Neither Freq Never 157.00
## 18    Male   19.4   19.2  Left  R on L    74   Right Some Never 182.88
## 19    Male   20.5   20.5 Right  L on R    NA    Left Some Never 190.50
## 20    Male   21.0   20.9 Right  R on L    78   Right Freq Never 177.00
## 21    Male   21.5   22.0 Right  R on L    72    Left Freq Never 190.50
## 22    Male   20.1   20.7 Right  L on R    72   Right Freq Never 180.34
## 23    Male   18.5   18.0 Right  L on R    64   Right Freq Never 180.34
## 24    Male   21.5   21.2 Right  R on L    62   Right Some Never 184.00
## 25  Female   17.0   17.5 Right  R on L    64    Left Some Never     NA
## 26    Male   18.5   18.5 Right Neither    90 Neither Some Never     NA
## 27    Male   21.0   20.7 Right  R on L    90   Right Some Never 172.72
## 28    Male   20.8   21.4 Right  R on L    62 Neither Freq Never 175.26
## 29    Male   17.8   17.8 Right  L on R    76 Neither Freq Never     NA
## 30    Male   19.5   19.5 Right  L on R    79   Right Some Never 167.00
## 31  Female   18.5   18.0 Right  R on L    76   Right None Occas     NA
## 32    Male   18.8   18.2 Right  L on R    78   Right Freq Never 180.00
## 33  Female   17.1   17.5 Right  R on L    72   Right Freq Heavy 166.40
## 34    Male   20.1   20.0 Right  R on L    70   Right Some Never 180.00
## 35    Male   18.0   19.0 Right  L on R    54 Neither Some Regul     NA
## 36    Male   22.2   21.0 Right  L on R    66   Right Freq Occas 190.00
## 37  Female   16.0   16.5 Right  L on R    NA   Right Some Never 168.00
## 38    Male   19.4   18.5 Right  R on L    72 Neither Freq Never 182.50
## 39    Male   22.0   22.0 Right  R on L    80   Right Some Never 185.00
## 40    Male   19.0   19.0 Right  R on L    NA Neither Freq Occas 171.00
## 41  Female   17.5   16.0 Right  L on R    NA   Right Some Never 169.00
## 42  Female   17.8   18.0 Right  R on L    72   Right Some Never 154.94
## 43    Male     NA     NA Right  R on L    60    <NA> Some Never 172.00
## 44  Female   20.1   20.2 Right  L on R    80   Right Some Never 176.50
## 45  Female   13.0   13.0  <NA>  L on R    70    Left Freq Never 180.34
## 46    Male   17.0   17.5 Right  R on L    NA Neither Freq Never 180.34
## 47    Male   23.2   22.7 Right  L on R    84    Left Freq Regul 180.00
## 48    Male   22.5   23.0 Right  R on L    96   Right None Never 170.00
## 49  Female   18.0   17.6 Right  R on L    60   Right Some Occas 168.00
## 50  Female   18.0   17.9 Right  R on L    50    Left None Never 165.00
## 51    Male   22.0   21.5  Left  R on L    55    Left Freq Never 200.00
## 52    Male   20.5   20.0 Right  L on R    68   Right Freq Never 190.00
## 53    Male   17.0   18.0 Right  L on R    78    Left Some Never 170.18
## 54    Male   20.5   19.5 Right  L on R    56   Right Freq Never 179.00
## 55    Male   22.5   22.5 Right  R on L    65   Right Freq Regul 182.00
## 56    Male   18.5   18.5 Right  L on R    NA Neither Freq Never 171.00
## 57  Female   15.5   15.4 Right  R on L    70 Neither None Never 157.48
## 58    Male   19.5   19.7 Right  R on L    72   Right Freq Never     NA
## 59    Male   19.5   19.0 Right  L on R    62   Right Freq Never 177.80
## 60    Male   20.6   21.0  Left  L on R    NA    Left Freq Occas 175.26
## 61    Male   22.8   23.2 Right  R on L    66 Neither Freq Never 187.00
## 62  Female   18.5   18.2 Right  R on L    72 Neither Freq Never 167.64
## 63  Female   19.6   19.7 Right  L on R    70   Right Freq Never 178.00
## 64  Female   18.7   18.0  Left  L on R    NA    Left None Never 170.00
## 65  Female   17.3   18.0 Right  L on R    64 Neither Freq Never 164.00
## 66    Male   19.5   19.8 Right Neither    NA   Right Freq Never 183.00
## 67  Female   19.0   19.1 Right  L on R    NA Neither Freq Never 172.00
## 68  Female   18.5   18.0 Right  R on L    64   Right Freq Never     NA
## 69    Male   19.0   19.0 Right  L on R    NA   Right Some Never 180.00
## 70    Male   21.0   19.5 Right  L on R    80    Left None  <NA>     NA
## 71  Female   18.0   17.5 Right  L on R    64    Left Freq Never 170.00
## 72    Male   19.4   19.5 Right  R on L    NA   Right Freq Heavy 176.00
## 73  Female   17.0   16.6 Right  R on L    68   Right Some Never 171.00
## 74  Female   16.5   17.0 Right  L on R    40    Left Freq Never 167.64
## 75  Female   15.6   15.8 Right  R on L    88    Left Some Never 165.00
## 76  Female   17.5   17.5 Right Neither    68   Right Freq Heavy 170.00
## 77  Female   17.0   17.6 Right  L on R    76   Right Some Never 165.00
## 78  Female   18.6   18.0 Right  L on R    NA Neither Freq Heavy 165.10
## 79  Female   18.3   18.5 Right  R on L    68 Neither Some Never 165.10
## 80    Male   20.0   20.5 Right  L on R    NA   Right Freq Never 185.42
## 81    Male   19.5   19.5  Left  R on L    66    Left Some Never     NA
## 82    Male   19.2   18.9 Right  R on L    76   Right Freq Never 176.50
## 83  Female   17.5   17.5 Right  R on L    98    Left Freq Never     NA
## 84  Female   17.0   17.4 Right  R on L    NA Neither Some Never     NA
## 85    Male   23.0   23.5 Right  L on R    90   Right Freq Never 167.64
## 86  Female   17.7   17.0 Right  R on L    76   Right Some Never 167.00
## 87  Female   18.2   18.0 Right  L on R    70   Right Some Never 162.56
## 88  Female   18.3   18.5 Right  R on L    75    Left Freq Never 170.00
## 89    Male   18.0   18.0 Right Neither    60   Right Freq Never 179.00
## 90  Female   18.0   17.7  Left  R on L    92    Left Some Never     NA
## 91    Male   20.5   20.0 Right  R on L    75    Left Some Never 183.00
## 92  Female   17.5   18.0 Right Neither    NA   Right Some Never     NA
## 93  Female   18.2   17.5 Right  L on R    70   Right Some Never 165.00
## 94  Female   18.2   18.5 Right  R on L    NA   Right Some Never 168.00
## 95    Male   21.3   20.8 Right  R on L    65   Right Freq Heavy 179.00
## 96  Female   19.0   18.8 Right  L on R    NA   Right Some Never     NA
## 97    Male   20.0   19.5 Right  R on L    68 Neither Freq Regul 190.00
## 98  Female   17.5   17.5 Right  R on L    60   Right Freq Never 166.50
## 99    Male   19.5   19.4 Right Neither    NA   Right Freq Never 165.00
## 100 Female   19.4   19.6 Right  R on L    68 Neither Freq Never 175.26
## 101   Male   21.9   22.2 Right  R on L    NA   Right Some Never 187.00
## 102   Male   18.9   19.1 Right  L on R    60 Neither None Never 170.00
## 103 Female   16.0   16.0 Right Neither    NA   Right Some Never 159.00
## 104 Female   17.5   17.3 Right  R on L    72   Right Freq Never 175.00
## 105 Female   17.5   17.0 Right  R on L    80    Left Some Heavy 163.00
## 106 Female   19.5   18.5 Right  R on L    80   Right Some Never 170.00
## 107 Female   16.2   16.4 Right  R on L    NA   Right Freq Occas 172.00
## 108 Female   17.0   15.9 Right  R on L    85   Right Freq Never     NA
## 109   Male   17.5   17.5 Right  L on R    64 Neither Freq Never 180.00
## 110   Male   19.7   20.1 Right  R on L    67    Left Some Regul 180.34
## 111 Female   18.5   18.5 Right  R on L    76    Left Freq Never 175.00
## 112   Male   19.2   19.6 Right  L on R    80   Right None Never 190.50
## 113 Female   17.2   16.7 Right  R on L    75   Right Freq Never 170.18
## 114   Male   20.5   21.0 Right  R on L    60   Right Freq Never 185.00
## 115 Female   16.0   15.5 Right  L on R    60    Left Freq Never 162.56
## 116 Female   16.9   16.0 Right  L on R    70   Right None Never 158.00
## 117 Female   17.0   16.7 Right  R on L    70   Right Some Never 159.00
## 118   Male   23.0   22.0  Left  L on R    83    Left Some Heavy 193.04
## 119 Female   18.5   18.0  Left  L on R   100 Neither Some Never 171.00
## 120   Male   21.0   20.4 Right  L on R   100   Right Freq Heavy 184.00
## 121   Male   20.0   20.0 Right  R on L    80 Neither Freq Occas     NA
## 122   Male   22.5   22.5 Right  L on R    76   Right Freq Occas 177.00
## 123 Female   18.5   18.0 Right  R on L    92   Right Freq Never 172.00
## 124   Male   19.8   20.0  Left  L on R    59   Right Freq Never 180.00
## 125   Male   18.5   18.1 Right  L on R    66    Left Freq Never 175.26
## 126   Male   19.3   19.4 Right  R on L    NA   Right Freq Never 180.34
## 127 Female   16.0   16.0 Right  R on L    68   Right Freq Never 172.72
## 128   Male   18.8   19.1 Right  L on R    66 Neither Freq Regul 178.50
## 129 Female   17.5   17.0 Right  R on L    74   Right Freq Never 157.00
## 130 Female   16.4   16.5 Right  L on R    90   Right Some Never 152.00
## 131   Male   22.0   21.5 Right  R on L    86   Right Freq Never 187.96
## 132   Male   19.0   19.5 Right  L on R    60   Right Some Never 178.00
## 133 Female   18.9   20.0 Right  R on L    86   Right Some Never     NA
## 134 Female   15.4   16.4  Left  L on R    80    Left Freq Occas 160.02
## 135   Male   17.9   17.8 Right  R on L    85    Left Some Never 175.26
## 136   Male   23.1   22.5 Right  L on R    90   Right Some Regul 189.00
## 137   <NA>   19.8   19.0  Left  L on R    73 Neither Freq Never 172.00
## 138   Male   22.0   22.0 Right  L on R    72   Right Freq Never 182.88
## 139   Male   20.0   19.5 Right  L on R    NA   Right Freq Never 170.00
## 140 Female   19.5   18.5 Right  L on R    68   Right None Never 167.00
## 141 Female   18.0   18.6 Right  R on L    84   Right Some Never 175.00
## 142 Female   18.3   19.0 Right  R on L    NA   Right None Never 165.00
## 143 Female   19.0   18.8 Right  R on L    65   Right Freq Never 172.72
## 144   Male   21.4   21.0 Right  L on R    96 Neither Some Never 180.00
## 145 Female   20.0   19.5  Left  R on L    68 Neither Freq Never 172.00
## 146   Male   18.5   18.5 Right  R on L    75 Neither Some Never 185.00
## 147   Male   22.5   22.6 Right  L on R    64   Right Freq Regul 187.96
## 148   Male   19.5   20.2 Right  R on L    60 Neither Freq Never 185.42
## 149 Female   18.0   18.0 Right  L on R    92 Neither Freq Never 165.00
## 150 Female   18.0   18.5 Right  R on L    64 Neither Freq Never 164.00
## 151   Male   21.8   22.3 Right  R on L    76    Left Freq Never 195.00
## 152 Female   13.0   12.5 Right  L on R    80   Right Freq Never 165.00
## 153 Female   16.3   16.2 Right  L on R    92   Right Some Regul 152.40
## 154   Male   21.5   21.6 Right  R on L    69   Right Freq Never 172.72
## 155   Male   18.9   19.1 Right  L on R    68   Right None Never 180.34
## 156   Male   20.5   20.0 Right  R on L    76   Right Freq Never 173.00
## 157   Male   14.0   15.5 Right  L on R    NA Neither Freq Heavy     NA
## 158 Female   18.9   19.2 Right  L on R    74   Right Some Never 167.64
## 159   Male   20.0   20.5 Right  R on L    NA   Right None Never 187.96
## 160   Male   18.5   19.0 Right  L on R    84   Right Freq Regul 187.00
## 161 Female   17.5   17.1 Right  R on L    80    Left None Never 167.00
## 162   Male   18.1   18.2  Left Neither    NA   Right Some Never 168.00
## 163   Male   20.2   20.3 Right  L on R    72 Neither Some Never 191.80
## 164 Female   16.5   16.9 Right  R on L    60 Neither Freq Occas 169.20
## 165   Male   19.1   19.1 Right Neither    NA   Right Some Never 177.00
## 166 Female   17.6   17.2 Right  R on L    81    Left Some Never 168.00
## 167 Female   19.5   19.2 Right  R on L    70   Right Some Never 170.00
## 168 Female   16.5   15.0 Right  L on R    65   Right Some Regul 160.02
## 169   Male   19.0   18.5 Right  L on R    NA Neither Freq Never 189.00
## 170   Male   19.0   18.5 Right  R on L    72   Right Freq Never 180.34
## 171 Female   16.5   17.0 Right  L on R    NA   Right Some Never 168.00
## 172   Male   20.5   19.5  Left  L on R    80   Right Some Occas 182.88
## 173 Female   15.5   15.5 Right Neither    50   Right Some Regul     NA
## 174 Female   18.0   17.5 Right  R on L    48 Neither Freq Never 165.00
## 175 Female   17.5   18.0 Right  R on L    68 Neither Freq Never 157.48
## 176 Female   19.0   18.5  Left  L on R   104    Left Freq Never 170.00
## 177   Male   20.5   20.5 Right Neither    76   Right Freq Regul 172.72
## 178 Female   16.7   17.0 Right  L on R    84    Left Freq Never 164.00
## 179 Female   20.5   20.5 Right  R on L    NA    Left Freq Regul     NA
## 180 Female   17.0   16.5 Right  R on L    70   Right Some Never 162.56
## 181   Male   19.0   19.5 Right  R on L    68   Right Freq Occas 172.00
## 182 Female   14.0   13.5 Right  R on L    87 Neither Freq Occas 165.10
## 183 Female   17.5   17.6 Right  L on R    79   Right Some Never 162.50
## 184   Male   18.5   19.0 Right  L on R    70    Left Freq Never 170.00
## 185   Male   18.0   18.5 Right Neither    90   Right Some Never 175.00
## 186   Male   20.5   20.7 Right  R on L    72   Right Some Never 168.00
## 187 Female   17.0   17.0 Right  L on R    79   Right Some Never 163.00
## 188   Male   18.5   18.5 Right  R on L    65   Right None Never 165.00
## 189   Male   18.0   18.5 Right  R on L    62   Right Freq Never 173.00
## 190   Male   18.5   18.0 Right Neither    63 Neither Freq Never 196.00
## 191   Male   20.0   19.5 Right  R on L    92   Right Some Never 179.10
## 192   Male   22.0   22.5 Right  L on R    60   Right Some Never 180.00
## 193   Male   17.9   18.4 Right  R on L    68    Left None Occas 176.00
## 194 Female   17.6   17.8 Right  L on R    72    Left Some Never 160.02
## 195 Female   16.7   15.1 Right Neither    NA   Right None Never 157.48
## 196 Female   17.0   17.6 Right  L on R    76   Right Some Never 165.00
## 197 Female   15.0   13.0 Right  R on L    80 Neither Freq Never 170.18
## 198   Male   16.0   15.5 Right Neither    71   Right Freq Never 154.94
## 199 Female   19.1   19.0 Right  R on L    80   Right Some Occas 170.00
## 200 Female   17.5   16.5 Right  R on L    80 Neither Some Never 164.00
## 201 Female   16.2   15.8 Right  R on L    61   Right Some Occas 167.00
## 202   Male   21.0   21.0 Right  L on R    48 Neither Freq Never 174.00
## 203 Female   18.8   17.8 Right  R on L    76   Right Some Never     NA
## 204 Female   18.5   18.0 Right Neither    86   Right None Never 160.00
## 205   Male   17.0   17.5 Right  R on L    80   Right Some Regul 179.10
## 206 Female   17.5   17.0 Right  R on L    83 Neither Freq Occas 168.00
## 207 Female   17.5   17.6 Right  L on R    76   Right Some Never 153.50
## 208   Male   17.5   17.6 Right  R on L    84   Right Some Never 160.00
## 209   Male   17.5   17.0  Left  L on R    97 Neither None Never 165.00
## 210 Female   20.8   20.7 Right  R on L    NA Neither Freq Never 171.50
## 211 Female   18.6   18.6 Right  L on R    74   Right Some Never 160.00
## 212 Female   17.5   17.5  Left  R on L    83 Neither Some Never 163.00
## 213   Male   18.0   18.5 Right  R on L    78   Right Freq Never     NA
## 214   Male   17.0   17.5 Right  R on L    65   Right Some Never 165.00
## 215 Female   18.0   17.8 Right  L on R    68   Right Some Never 168.90
## 216   Male   19.5   20.0 Right Neither    NA   Right Some Never 170.00
## 217 Female   16.3   16.2 Right  L on R    NA   Right None Never     NA
## 218   Male   18.2   19.8 Right  R on L    88   Right Freq Never 185.00
## 219 Female   17.0   17.3 Right  L on R    NA Neither Freq Never 173.00
## 220   Male   23.2   23.2 Right  L on R    75   Right Freq Never 188.00
## 221   Male   23.2   23.3 Right  L on R    NA   Right None Heavy 171.00
## 222 Female   15.9   16.5 Right  R on L    70   Right Freq Never 167.64
## 223 Female   17.5   18.4 Right  R on L    88   Right Some Never 162.56
## 224 Female   17.5   17.6 Right  L on R    NA   Right Freq Never 150.00
## 225 Female   17.6   17.2 Right  L on R    NA   Right Some Never     NA
## 226 Female   17.5   17.8 Right  R on L    96   Right Some Never     NA
## 227 Female   18.8   18.3 Right  R on L    80   Right Some Heavy 170.18
## 228   Male   20.0   19.8 Right  L on R    68   Right Freq Never 185.00
## 229 Female   18.6   18.8 Right  L on R    70   Right Freq Regul 167.00
## 230   Male   18.6   19.6 Right  L on R    71   Right Freq Occas 185.00
## 231 Female   18.8   18.5 Right  R on L    80   Right Some Never 169.00
## 232   Male   18.0   16.0 Right  R on L    NA   Right Some Never 180.34
## 233 Female   18.0   18.0 Right  L on R    85   Right Some Never 165.10
## 234 Female   18.5   18.0 Right  L on R    88   Right Some Never 160.00
## 235 Female   17.5   16.5 Right  R on L    NA   Right Some Never 170.00
## 236   Male   21.0   21.5 Right  R on L    90   Right Some Never 183.00
## 237 Female   17.6   17.3 Right  R on L    85   Right Freq Never 168.50
##          M.I    Age
## 1     Metric 18.250
## 2   Imperial 17.583
## 3       <NA> 16.917
## 4     Metric 20.333
## 5     Metric 23.667
## 6   Imperial 21.000
## 7   Imperial 18.833
## 8     Metric 35.833
## 9     Metric 19.000
## 10    Metric 22.333
## 11  Imperial 28.500
## 12      <NA> 18.250
## 13    Metric 18.750
## 14    Metric 17.500
## 15      <NA> 17.167
## 16    Metric 17.167
## 17    Metric 19.333
## 18  Imperial 18.333
## 19  Imperial 19.750
## 20    Metric 17.917
## 21  Imperial 17.917
## 22  Imperial 18.167
## 23  Imperial 17.833
## 24    Metric 18.250
## 25      <NA> 19.167
## 26      <NA> 17.583
## 27  Imperial 17.500
## 28  Imperial 18.083
## 29      <NA> 21.917
## 30    Metric 19.250
## 31      <NA> 41.583
## 32    Metric 17.500
## 33  Imperial 39.750
## 34    Metric 17.167
## 35      <NA> 17.750
## 36    Metric 18.000
## 37    Metric 19.000
## 38    Metric 17.917
## 39    Metric 35.500
## 40    Metric 19.917
## 41    Metric 17.500
## 42  Imperial 17.083
## 43    Metric 28.583
## 44  Imperial 17.500
## 45  Imperial 17.417
## 46  Imperial 18.500
## 47    Metric 18.917
## 48    Metric 19.417
## 49    Metric 18.417
## 50    Metric 30.750
## 51    Metric 18.500
## 52    Metric 17.500
## 53  Imperial 18.333
## 54    Metric 17.417
## 55    Metric 20.000
## 56    Metric 18.333
## 57  Imperial 17.167
## 58      <NA> 17.417
## 59  Imperial 17.667
## 60  Imperial 18.417
## 61    Metric 20.333
## 62  Imperial 17.333
## 63    Metric 17.500
## 64    Metric 19.833
## 65    Metric 18.583
## 66    Metric 18.000
## 67    Metric 30.667
## 68      <NA> 16.917
## 69    Metric 19.917
## 70      <NA> 18.333
## 71    Metric 17.583
## 72    Metric 17.833
## 73    Metric 17.667
## 74  Imperial 17.417
## 75    Metric 17.750
## 76    Metric 20.667
## 77    Metric 23.583
## 78  Imperial 17.167
## 79  Imperial 17.083
## 80  Imperial 18.750
## 81      <NA> 16.750
## 82  Imperial 20.167
## 83      <NA> 17.667
## 84      <NA> 17.167
## 85  Imperial 17.167
## 86    Metric 17.250
## 87  Imperial 18.000
## 88    Metric 18.750
## 89    Metric 21.583
## 90      <NA> 17.583
## 91    Metric 19.667
## 92      <NA> 18.000
## 93    Metric 19.667
## 94    Metric 17.083
## 95    Metric 22.833
## 96      <NA> 17.083
## 97    Metric 19.417
## 98    Metric 23.250
## 99    Metric 18.083
## 100 Imperial 19.083
## 101   Metric 18.917
## 102   Metric 17.750
## 103   Metric 20.833
## 104   Metric 20.167
## 105   Metric 17.667
## 106   Metric 18.250
## 107   Metric 17.000
## 108     <NA> 18.500
## 109   Metric 18.583
## 110 Imperial 17.750
## 111   Metric 24.167
## 112 Imperial 18.167
## 113 Imperial 21.167
## 114   Metric 17.917
## 115 Imperial 17.417
## 116   Metric 20.500
## 117   Metric 22.917
## 118 Imperial 18.917
## 119   Metric 18.917
## 120   Metric 20.083
## 121     <NA> 17.500
## 122   Metric 18.250
## 123   Metric 17.500
## 124   Metric 17.417
## 125 Imperial 21.000
## 126 Imperial 19.833
## 127 Imperial 17.667
## 128   Metric 18.083
## 129   Metric 18.000
## 130   Metric 18.333
## 131 Imperial 20.000
## 132   Metric 18.750
## 133     <NA> 19.083
## 134 Imperial 18.500
## 135 Imperial 18.417
## 136   Metric 19.167
## 137   Metric 21.500
## 138 Imperial 19.333
## 139   Metric 21.417
## 140   Metric 18.667
## 141   Metric 17.500
## 142   Metric 21.083
## 143 Imperial 17.250
## 144   Metric 19.000
## 145   Metric 19.167
## 146   Metric 19.000
## 147 Imperial 23.000
## 148 Imperial 32.667
## 149   Metric 20.000
## 150   Metric 20.167
## 151   Metric 25.500
## 152   Metric 18.167
## 153 Imperial 23.500
## 154 Imperial 70.417
## 155 Imperial 43.833
## 156   Metric 23.583
## 157     <NA> 21.083
## 158 Imperial 44.250
## 159 Imperial 19.667
## 160   Metric 17.917
## 161   Metric 18.417
## 162   Metric 21.167
## 163 Imperial 17.500
## 164   Metric 29.083
## 165   Metric 19.917
## 166   Metric 18.500
## 167   Metric 18.167
## 168 Imperial 32.750
## 169   Metric 17.417
## 170 Imperial 17.333
## 171   Metric 73.000
## 172 Imperial 18.667
## 173     <NA> 18.500
## 174   Metric 18.667
## 175 Imperial 17.750
## 176   Metric 17.250
## 177 Imperial 36.583
## 178   Metric 23.083
## 179     <NA> 19.250
## 180 Imperial 17.167
## 181   Metric 23.417
## 182 Imperial 17.083
## 183   Metric 17.250
## 184   Metric 23.833
## 185   Metric 18.750
## 186   Metric 21.167
## 187   Metric 24.667
## 188   Metric 18.500
## 189   Metric 20.333
## 190   Metric 20.083
## 191 Imperial 18.917
## 192   Metric 27.333
## 193   Metric 18.917
## 194 Imperial 17.250
## 195 Imperial 18.167
## 196   Metric 26.500
## 197 Imperial 17.000
## 198 Imperial 17.167
## 199   Metric 19.167
## 200   Metric 17.500
## 201   Metric 19.250
## 202   Metric 21.333
## 203     <NA> 18.583
## 204   Metric 20.167
## 205   Metric 18.667
## 206   Metric 17.083
## 207   Metric 17.417
## 208   Metric 18.583
## 209   Metric 19.500
## 210   Metric 18.500
## 211   Metric 17.167
## 212   Metric 17.250
## 213     <NA> 17.500
## 214   Metric 20.417
## 215 Imperial 17.083
## 216   Metric 21.250
## 217     <NA> 19.250
## 218   Metric 19.333
## 219   Metric 19.167
## 220   Metric 18.917
## 221   Metric 20.917
## 222 Imperial 17.333
## 223 Imperial 18.167
## 224   Metric 20.750
## 225     <NA> 19.917
## 226     <NA> 18.667
## 227 Imperial 18.417
## 228   Metric 17.417
## 229   Metric 20.333
## 230   Metric 19.333
## 231   Metric 18.167
## 232 Imperial 20.750
## 233 Imperial 17.667
## 234   Metric 16.917
## 235   Metric 18.583
## 236   Metric 17.167
## 237   Metric 17.750
dim(df)
## [1] 237  12
str(df)
## 'data.frame':    237 obs. of  12 variables:
##  $ Sex   : Factor w/ 2 levels "Female","Male": 1 2 2 2 2 1 2 1 2 2 ...
##  $ Wr.Hnd: num  18.5 19.5 18 18.8 20 18 17.7 17 20 18.5 ...
##  $ NW.Hnd: num  18 20.5 13.3 18.9 20 17.7 17.7 17.3 19.5 18.5 ...
##  $ W.Hnd : Factor w/ 2 levels "Left","Right": 2 1 2 2 2 2 2 2 2 2 ...
##  $ Fold  : Factor w/ 3 levels "L on R","Neither",..: 3 3 1 3 2 1 1 3 3 3 ...
##  $ Pulse : int  92 104 87 NA 35 64 83 74 72 90 ...
##  $ Clap  : Factor w/ 3 levels "Left","Neither",..: 1 1 2 2 3 3 3 3 3 3 ...
##  $ Exer  : Factor w/ 3 levels "Freq","None",..: 3 2 2 2 3 3 1 1 3 3 ...
##  $ Smoke : Factor w/ 4 levels "Heavy","Never",..: 2 4 3 2 2 2 2 2 2 2 ...
##  $ Height: num  173 178 NA 160 165 ...
##  $ M.I   : Factor w/ 2 levels "Imperial","Metric": 2 1 NA 2 2 1 1 2 2 2 ...
##  $ Age   : num  18.2 17.6 16.9 20.3 23.7 ...
head(df)
##      Sex Wr.Hnd NW.Hnd W.Hnd    Fold Pulse    Clap Exer Smoke Height
## 1 Female   18.5   18.0 Right  R on L    92    Left Some Never 173.00
## 2   Male   19.5   20.5  Left  R on L   104    Left None Regul 177.80
## 3   Male   18.0   13.3 Right  L on R    87 Neither None Occas     NA
## 4   Male   18.8   18.9 Right  R on L    NA Neither None Never 160.00
## 5   Male   20.0   20.0 Right Neither    35   Right Some Never 165.00
## 6 Female   18.0   17.7 Right  L on R    64   Right Some Never 172.72
##        M.I    Age
## 1   Metric 18.250
## 2 Imperial 17.583
## 3     <NA> 16.917
## 4   Metric 20.333
## 5   Metric 23.667
## 6 Imperial 21.000
tail(df)
##        Sex Wr.Hnd NW.Hnd W.Hnd   Fold Pulse  Clap Exer Smoke Height
## 232   Male   18.0   16.0 Right R on L    NA Right Some Never 180.34
## 233 Female   18.0   18.0 Right L on R    85 Right Some Never 165.10
## 234 Female   18.5   18.0 Right L on R    88 Right Some Never 160.00
## 235 Female   17.5   16.5 Right R on L    NA Right Some Never 170.00
## 236   Male   21.0   21.5 Right R on L    90 Right Some Never 183.00
## 237 Female   17.6   17.3 Right R on L    85 Right Freq Never 168.50
##          M.I    Age
## 232 Imperial 20.750
## 233 Imperial 17.667
## 234   Metric 16.917
## 235   Metric 18.583
## 236   Metric 17.167
## 237   Metric 17.750
summary(df)
##      Sex          Wr.Hnd          NW.Hnd        W.Hnd          Fold    
##  Female:118   Min.   :13.00   Min.   :12.50   Left : 18   L on R : 99  
##  Male  :118   1st Qu.:17.50   1st Qu.:17.50   Right:218   Neither: 18  
##  NA's  :  1   Median :18.50   Median :18.50   NA's :  1   R on L :120  
##               Mean   :18.67   Mean   :18.58                            
##               3rd Qu.:19.80   3rd Qu.:19.73                            
##               Max.   :23.20   Max.   :23.50                            
##               NA's   :1       NA's   :1                                
##      Pulse             Clap       Exer       Smoke         Height     
##  Min.   : 35.00   Left   : 39   Freq:115   Heavy: 11   Min.   :150.0  
##  1st Qu.: 66.00   Neither: 50   None: 24   Never:189   1st Qu.:165.0  
##  Median : 72.50   Right  :147   Some: 98   Occas: 19   Median :171.0  
##  Mean   : 74.15   NA's   :  1              Regul: 17   Mean   :172.4  
##  3rd Qu.: 80.00                            NA's :  1   3rd Qu.:180.0  
##  Max.   :104.00                                        Max.   :200.0  
##  NA's   :45                                            NA's   :28     
##        M.I           Age       
##  Imperial: 68   Min.   :16.75  
##  Metric  :141   1st Qu.:17.67  
##  NA's    : 28   Median :18.58  
##                 Mean   :20.37  
##                 3rd Qu.:20.17  
##                 Max.   :73.00  
## 
# Sex: The sex of the student. (Factor with levels "Male" and "Female".)
# Wr.Hnd: span (distance from tip of thumb to tip of little finger of spread hand) of writing hand, in centimetres.
# NW.Hnd: span of non-writing hand.
# W.Hnd: writing hand of student. (Factor, with levels "Left" and "Right".)
# Fold: ???Fold your arms! Which is on top??? (Factor, with levels "R on L", "L on R", "Neither".)
# Pulse: pulse rate of student (beats per minute).
# Clap: ???Clap your hands! Which hand is on top???? (Factor, with levels "Right", "Left", "Neither".)
# Exer: how often the student exercises. (Factor, with levels "Freq" (frequently), "Some", "None".)
# Smoke: how much the student smokes. (Factor, levels "Heavy", "Regul" (regularly), "Occas" (occasionally), "Never".)
# Height: height of the student in centimetres.
# M.I: whether the student expressed height in imperial (feet/inches) or metric (centimetres/metres) units. (Factor, levels "Metric", "Imperial".)
# Age: age of the student in years.

Let’s change the name of variables

df <- rename(df, H.rate = Pulse)
df
##        Sex Wr.Hnd NW.Hnd W.Hnd    Fold H.rate    Clap Exer Smoke Height
## 1   Female   18.5   18.0 Right  R on L     92    Left Some Never 173.00
## 2     Male   19.5   20.5  Left  R on L    104    Left None Regul 177.80
## 3     Male   18.0   13.3 Right  L on R     87 Neither None Occas     NA
## 4     Male   18.8   18.9 Right  R on L     NA Neither None Never 160.00
## 5     Male   20.0   20.0 Right Neither     35   Right Some Never 165.00
## 6   Female   18.0   17.7 Right  L on R     64   Right Some Never 172.72
## 7     Male   17.7   17.7 Right  L on R     83   Right Freq Never 182.88
## 8   Female   17.0   17.3 Right  R on L     74   Right Freq Never 157.00
## 9     Male   20.0   19.5 Right  R on L     72   Right Some Never 175.00
## 10    Male   18.5   18.5 Right  R on L     90   Right Some Never 167.00
## 11  Female   17.0   17.2 Right  L on R     80   Right Freq Never 156.20
## 12    Male   21.0   21.0 Right  R on L     68    Left Freq Never     NA
## 13  Female   16.0   16.0 Right  L on R     NA   Right Some Never 155.00
## 14  Female   19.5   20.2 Right  L on R     66 Neither Some Never 155.00
## 15    Male   16.0   15.5 Right  R on L     60   Right Some Never     NA
## 16  Female   17.5   17.0 Right  R on L     NA   Right Freq Never 156.00
## 17  Female   18.0   18.0 Right  L on R     89 Neither Freq Never 157.00
## 18    Male   19.4   19.2  Left  R on L     74   Right Some Never 182.88
## 19    Male   20.5   20.5 Right  L on R     NA    Left Some Never 190.50
## 20    Male   21.0   20.9 Right  R on L     78   Right Freq Never 177.00
## 21    Male   21.5   22.0 Right  R on L     72    Left Freq Never 190.50
## 22    Male   20.1   20.7 Right  L on R     72   Right Freq Never 180.34
## 23    Male   18.5   18.0 Right  L on R     64   Right Freq Never 180.34
## 24    Male   21.5   21.2 Right  R on L     62   Right Some Never 184.00
## 25  Female   17.0   17.5 Right  R on L     64    Left Some Never     NA
## 26    Male   18.5   18.5 Right Neither     90 Neither Some Never     NA
## 27    Male   21.0   20.7 Right  R on L     90   Right Some Never 172.72
## 28    Male   20.8   21.4 Right  R on L     62 Neither Freq Never 175.26
## 29    Male   17.8   17.8 Right  L on R     76 Neither Freq Never     NA
## 30    Male   19.5   19.5 Right  L on R     79   Right Some Never 167.00
## 31  Female   18.5   18.0 Right  R on L     76   Right None Occas     NA
## 32    Male   18.8   18.2 Right  L on R     78   Right Freq Never 180.00
## 33  Female   17.1   17.5 Right  R on L     72   Right Freq Heavy 166.40
## 34    Male   20.1   20.0 Right  R on L     70   Right Some Never 180.00
## 35    Male   18.0   19.0 Right  L on R     54 Neither Some Regul     NA
## 36    Male   22.2   21.0 Right  L on R     66   Right Freq Occas 190.00
## 37  Female   16.0   16.5 Right  L on R     NA   Right Some Never 168.00
## 38    Male   19.4   18.5 Right  R on L     72 Neither Freq Never 182.50
## 39    Male   22.0   22.0 Right  R on L     80   Right Some Never 185.00
## 40    Male   19.0   19.0 Right  R on L     NA Neither Freq Occas 171.00
## 41  Female   17.5   16.0 Right  L on R     NA   Right Some Never 169.00
## 42  Female   17.8   18.0 Right  R on L     72   Right Some Never 154.94
## 43    Male     NA     NA Right  R on L     60    <NA> Some Never 172.00
## 44  Female   20.1   20.2 Right  L on R     80   Right Some Never 176.50
## 45  Female   13.0   13.0  <NA>  L on R     70    Left Freq Never 180.34
## 46    Male   17.0   17.5 Right  R on L     NA Neither Freq Never 180.34
## 47    Male   23.2   22.7 Right  L on R     84    Left Freq Regul 180.00
## 48    Male   22.5   23.0 Right  R on L     96   Right None Never 170.00
## 49  Female   18.0   17.6 Right  R on L     60   Right Some Occas 168.00
## 50  Female   18.0   17.9 Right  R on L     50    Left None Never 165.00
## 51    Male   22.0   21.5  Left  R on L     55    Left Freq Never 200.00
## 52    Male   20.5   20.0 Right  L on R     68   Right Freq Never 190.00
## 53    Male   17.0   18.0 Right  L on R     78    Left Some Never 170.18
## 54    Male   20.5   19.5 Right  L on R     56   Right Freq Never 179.00
## 55    Male   22.5   22.5 Right  R on L     65   Right Freq Regul 182.00
## 56    Male   18.5   18.5 Right  L on R     NA Neither Freq Never 171.00
## 57  Female   15.5   15.4 Right  R on L     70 Neither None Never 157.48
## 58    Male   19.5   19.7 Right  R on L     72   Right Freq Never     NA
## 59    Male   19.5   19.0 Right  L on R     62   Right Freq Never 177.80
## 60    Male   20.6   21.0  Left  L on R     NA    Left Freq Occas 175.26
## 61    Male   22.8   23.2 Right  R on L     66 Neither Freq Never 187.00
## 62  Female   18.5   18.2 Right  R on L     72 Neither Freq Never 167.64
## 63  Female   19.6   19.7 Right  L on R     70   Right Freq Never 178.00
## 64  Female   18.7   18.0  Left  L on R     NA    Left None Never 170.00
## 65  Female   17.3   18.0 Right  L on R     64 Neither Freq Never 164.00
## 66    Male   19.5   19.8 Right Neither     NA   Right Freq Never 183.00
## 67  Female   19.0   19.1 Right  L on R     NA Neither Freq Never 172.00
## 68  Female   18.5   18.0 Right  R on L     64   Right Freq Never     NA
## 69    Male   19.0   19.0 Right  L on R     NA   Right Some Never 180.00
## 70    Male   21.0   19.5 Right  L on R     80    Left None  <NA>     NA
## 71  Female   18.0   17.5 Right  L on R     64    Left Freq Never 170.00
## 72    Male   19.4   19.5 Right  R on L     NA   Right Freq Heavy 176.00
## 73  Female   17.0   16.6 Right  R on L     68   Right Some Never 171.00
## 74  Female   16.5   17.0 Right  L on R     40    Left Freq Never 167.64
## 75  Female   15.6   15.8 Right  R on L     88    Left Some Never 165.00
## 76  Female   17.5   17.5 Right Neither     68   Right Freq Heavy 170.00
## 77  Female   17.0   17.6 Right  L on R     76   Right Some Never 165.00
## 78  Female   18.6   18.0 Right  L on R     NA Neither Freq Heavy 165.10
## 79  Female   18.3   18.5 Right  R on L     68 Neither Some Never 165.10
## 80    Male   20.0   20.5 Right  L on R     NA   Right Freq Never 185.42
## 81    Male   19.5   19.5  Left  R on L     66    Left Some Never     NA
## 82    Male   19.2   18.9 Right  R on L     76   Right Freq Never 176.50
## 83  Female   17.5   17.5 Right  R on L     98    Left Freq Never     NA
## 84  Female   17.0   17.4 Right  R on L     NA Neither Some Never     NA
## 85    Male   23.0   23.5 Right  L on R     90   Right Freq Never 167.64
## 86  Female   17.7   17.0 Right  R on L     76   Right Some Never 167.00
## 87  Female   18.2   18.0 Right  L on R     70   Right Some Never 162.56
## 88  Female   18.3   18.5 Right  R on L     75    Left Freq Never 170.00
## 89    Male   18.0   18.0 Right Neither     60   Right Freq Never 179.00
## 90  Female   18.0   17.7  Left  R on L     92    Left Some Never     NA
## 91    Male   20.5   20.0 Right  R on L     75    Left Some Never 183.00
## 92  Female   17.5   18.0 Right Neither     NA   Right Some Never     NA
## 93  Female   18.2   17.5 Right  L on R     70   Right Some Never 165.00
## 94  Female   18.2   18.5 Right  R on L     NA   Right Some Never 168.00
## 95    Male   21.3   20.8 Right  R on L     65   Right Freq Heavy 179.00
## 96  Female   19.0   18.8 Right  L on R     NA   Right Some Never     NA
## 97    Male   20.0   19.5 Right  R on L     68 Neither Freq Regul 190.00
## 98  Female   17.5   17.5 Right  R on L     60   Right Freq Never 166.50
## 99    Male   19.5   19.4 Right Neither     NA   Right Freq Never 165.00
## 100 Female   19.4   19.6 Right  R on L     68 Neither Freq Never 175.26
## 101   Male   21.9   22.2 Right  R on L     NA   Right Some Never 187.00
## 102   Male   18.9   19.1 Right  L on R     60 Neither None Never 170.00
## 103 Female   16.0   16.0 Right Neither     NA   Right Some Never 159.00
## 104 Female   17.5   17.3 Right  R on L     72   Right Freq Never 175.00
## 105 Female   17.5   17.0 Right  R on L     80    Left Some Heavy 163.00
## 106 Female   19.5   18.5 Right  R on L     80   Right Some Never 170.00
## 107 Female   16.2   16.4 Right  R on L     NA   Right Freq Occas 172.00
## 108 Female   17.0   15.9 Right  R on L     85   Right Freq Never     NA
## 109   Male   17.5   17.5 Right  L on R     64 Neither Freq Never 180.00
## 110   Male   19.7   20.1 Right  R on L     67    Left Some Regul 180.34
## 111 Female   18.5   18.5 Right  R on L     76    Left Freq Never 175.00
## 112   Male   19.2   19.6 Right  L on R     80   Right None Never 190.50
## 113 Female   17.2   16.7 Right  R on L     75   Right Freq Never 170.18
## 114   Male   20.5   21.0 Right  R on L     60   Right Freq Never 185.00
## 115 Female   16.0   15.5 Right  L on R     60    Left Freq Never 162.56
## 116 Female   16.9   16.0 Right  L on R     70   Right None Never 158.00
## 117 Female   17.0   16.7 Right  R on L     70   Right Some Never 159.00
## 118   Male   23.0   22.0  Left  L on R     83    Left Some Heavy 193.04
## 119 Female   18.5   18.0  Left  L on R    100 Neither Some Never 171.00
## 120   Male   21.0   20.4 Right  L on R    100   Right Freq Heavy 184.00
## 121   Male   20.0   20.0 Right  R on L     80 Neither Freq Occas     NA
## 122   Male   22.5   22.5 Right  L on R     76   Right Freq Occas 177.00
## 123 Female   18.5   18.0 Right  R on L     92   Right Freq Never 172.00
## 124   Male   19.8   20.0  Left  L on R     59   Right Freq Never 180.00
## 125   Male   18.5   18.1 Right  L on R     66    Left Freq Never 175.26
## 126   Male   19.3   19.4 Right  R on L     NA   Right Freq Never 180.34
## 127 Female   16.0   16.0 Right  R on L     68   Right Freq Never 172.72
## 128   Male   18.8   19.1 Right  L on R     66 Neither Freq Regul 178.50
## 129 Female   17.5   17.0 Right  R on L     74   Right Freq Never 157.00
## 130 Female   16.4   16.5 Right  L on R     90   Right Some Never 152.00
## 131   Male   22.0   21.5 Right  R on L     86   Right Freq Never 187.96
## 132   Male   19.0   19.5 Right  L on R     60   Right Some Never 178.00
## 133 Female   18.9   20.0 Right  R on L     86   Right Some Never     NA
## 134 Female   15.4   16.4  Left  L on R     80    Left Freq Occas 160.02
## 135   Male   17.9   17.8 Right  R on L     85    Left Some Never 175.26
## 136   Male   23.1   22.5 Right  L on R     90   Right Some Regul 189.00
## 137   <NA>   19.8   19.0  Left  L on R     73 Neither Freq Never 172.00
## 138   Male   22.0   22.0 Right  L on R     72   Right Freq Never 182.88
## 139   Male   20.0   19.5 Right  L on R     NA   Right Freq Never 170.00
## 140 Female   19.5   18.5 Right  L on R     68   Right None Never 167.00
## 141 Female   18.0   18.6 Right  R on L     84   Right Some Never 175.00
## 142 Female   18.3   19.0 Right  R on L     NA   Right None Never 165.00
## 143 Female   19.0   18.8 Right  R on L     65   Right Freq Never 172.72
## 144   Male   21.4   21.0 Right  L on R     96 Neither Some Never 180.00
## 145 Female   20.0   19.5  Left  R on L     68 Neither Freq Never 172.00
## 146   Male   18.5   18.5 Right  R on L     75 Neither Some Never 185.00
## 147   Male   22.5   22.6 Right  L on R     64   Right Freq Regul 187.96
## 148   Male   19.5   20.2 Right  R on L     60 Neither Freq Never 185.42
## 149 Female   18.0   18.0 Right  L on R     92 Neither Freq Never 165.00
## 150 Female   18.0   18.5 Right  R on L     64 Neither Freq Never 164.00
## 151   Male   21.8   22.3 Right  R on L     76    Left Freq Never 195.00
## 152 Female   13.0   12.5 Right  L on R     80   Right Freq Never 165.00
## 153 Female   16.3   16.2 Right  L on R     92   Right Some Regul 152.40
## 154   Male   21.5   21.6 Right  R on L     69   Right Freq Never 172.72
## 155   Male   18.9   19.1 Right  L on R     68   Right None Never 180.34
## 156   Male   20.5   20.0 Right  R on L     76   Right Freq Never 173.00
## 157   Male   14.0   15.5 Right  L on R     NA Neither Freq Heavy     NA
## 158 Female   18.9   19.2 Right  L on R     74   Right Some Never 167.64
## 159   Male   20.0   20.5 Right  R on L     NA   Right None Never 187.96
## 160   Male   18.5   19.0 Right  L on R     84   Right Freq Regul 187.00
## 161 Female   17.5   17.1 Right  R on L     80    Left None Never 167.00
## 162   Male   18.1   18.2  Left Neither     NA   Right Some Never 168.00
## 163   Male   20.2   20.3 Right  L on R     72 Neither Some Never 191.80
## 164 Female   16.5   16.9 Right  R on L     60 Neither Freq Occas 169.20
## 165   Male   19.1   19.1 Right Neither     NA   Right Some Never 177.00
## 166 Female   17.6   17.2 Right  R on L     81    Left Some Never 168.00
## 167 Female   19.5   19.2 Right  R on L     70   Right Some Never 170.00
## 168 Female   16.5   15.0 Right  L on R     65   Right Some Regul 160.02
## 169   Male   19.0   18.5 Right  L on R     NA Neither Freq Never 189.00
## 170   Male   19.0   18.5 Right  R on L     72   Right Freq Never 180.34
## 171 Female   16.5   17.0 Right  L on R     NA   Right Some Never 168.00
## 172   Male   20.5   19.5  Left  L on R     80   Right Some Occas 182.88
## 173 Female   15.5   15.5 Right Neither     50   Right Some Regul     NA
## 174 Female   18.0   17.5 Right  R on L     48 Neither Freq Never 165.00
## 175 Female   17.5   18.0 Right  R on L     68 Neither Freq Never 157.48
## 176 Female   19.0   18.5  Left  L on R    104    Left Freq Never 170.00
## 177   Male   20.5   20.5 Right Neither     76   Right Freq Regul 172.72
## 178 Female   16.7   17.0 Right  L on R     84    Left Freq Never 164.00
## 179 Female   20.5   20.5 Right  R on L     NA    Left Freq Regul     NA
## 180 Female   17.0   16.5 Right  R on L     70   Right Some Never 162.56
## 181   Male   19.0   19.5 Right  R on L     68   Right Freq Occas 172.00
## 182 Female   14.0   13.5 Right  R on L     87 Neither Freq Occas 165.10
## 183 Female   17.5   17.6 Right  L on R     79   Right Some Never 162.50
## 184   Male   18.5   19.0 Right  L on R     70    Left Freq Never 170.00
## 185   Male   18.0   18.5 Right Neither     90   Right Some Never 175.00
## 186   Male   20.5   20.7 Right  R on L     72   Right Some Never 168.00
## 187 Female   17.0   17.0 Right  L on R     79   Right Some Never 163.00
## 188   Male   18.5   18.5 Right  R on L     65   Right None Never 165.00
## 189   Male   18.0   18.5 Right  R on L     62   Right Freq Never 173.00
## 190   Male   18.5   18.0 Right Neither     63 Neither Freq Never 196.00
## 191   Male   20.0   19.5 Right  R on L     92   Right Some Never 179.10
## 192   Male   22.0   22.5 Right  L on R     60   Right Some Never 180.00
## 193   Male   17.9   18.4 Right  R on L     68    Left None Occas 176.00
## 194 Female   17.6   17.8 Right  L on R     72    Left Some Never 160.02
## 195 Female   16.7   15.1 Right Neither     NA   Right None Never 157.48
## 196 Female   17.0   17.6 Right  L on R     76   Right Some Never 165.00
## 197 Female   15.0   13.0 Right  R on L     80 Neither Freq Never 170.18
## 198   Male   16.0   15.5 Right Neither     71   Right Freq Never 154.94
## 199 Female   19.1   19.0 Right  R on L     80   Right Some Occas 170.00
## 200 Female   17.5   16.5 Right  R on L     80 Neither Some Never 164.00
## 201 Female   16.2   15.8 Right  R on L     61   Right Some Occas 167.00
## 202   Male   21.0   21.0 Right  L on R     48 Neither Freq Never 174.00
## 203 Female   18.8   17.8 Right  R on L     76   Right Some Never     NA
## 204 Female   18.5   18.0 Right Neither     86   Right None Never 160.00
## 205   Male   17.0   17.5 Right  R on L     80   Right Some Regul 179.10
## 206 Female   17.5   17.0 Right  R on L     83 Neither Freq Occas 168.00
## 207 Female   17.5   17.6 Right  L on R     76   Right Some Never 153.50
## 208   Male   17.5   17.6 Right  R on L     84   Right Some Never 160.00
## 209   Male   17.5   17.0  Left  L on R     97 Neither None Never 165.00
## 210 Female   20.8   20.7 Right  R on L     NA Neither Freq Never 171.50
## 211 Female   18.6   18.6 Right  L on R     74   Right Some Never 160.00
## 212 Female   17.5   17.5  Left  R on L     83 Neither Some Never 163.00
## 213   Male   18.0   18.5 Right  R on L     78   Right Freq Never     NA
## 214   Male   17.0   17.5 Right  R on L     65   Right Some Never 165.00
## 215 Female   18.0   17.8 Right  L on R     68   Right Some Never 168.90
## 216   Male   19.5   20.0 Right Neither     NA   Right Some Never 170.00
## 217 Female   16.3   16.2 Right  L on R     NA   Right None Never     NA
## 218   Male   18.2   19.8 Right  R on L     88   Right Freq Never 185.00
## 219 Female   17.0   17.3 Right  L on R     NA Neither Freq Never 173.00
## 220   Male   23.2   23.2 Right  L on R     75   Right Freq Never 188.00
## 221   Male   23.2   23.3 Right  L on R     NA   Right None Heavy 171.00
## 222 Female   15.9   16.5 Right  R on L     70   Right Freq Never 167.64
## 223 Female   17.5   18.4 Right  R on L     88   Right Some Never 162.56
## 224 Female   17.5   17.6 Right  L on R     NA   Right Freq Never 150.00
## 225 Female   17.6   17.2 Right  L on R     NA   Right Some Never     NA
## 226 Female   17.5   17.8 Right  R on L     96   Right Some Never     NA
## 227 Female   18.8   18.3 Right  R on L     80   Right Some Heavy 170.18
## 228   Male   20.0   19.8 Right  L on R     68   Right Freq Never 185.00
## 229 Female   18.6   18.8 Right  L on R     70   Right Freq Regul 167.00
## 230   Male   18.6   19.6 Right  L on R     71   Right Freq Occas 185.00
## 231 Female   18.8   18.5 Right  R on L     80   Right Some Never 169.00
## 232   Male   18.0   16.0 Right  R on L     NA   Right Some Never 180.34
## 233 Female   18.0   18.0 Right  L on R     85   Right Some Never 165.10
## 234 Female   18.5   18.0 Right  L on R     88   Right Some Never 160.00
## 235 Female   17.5   16.5 Right  R on L     NA   Right Some Never 170.00
## 236   Male   21.0   21.5 Right  R on L     90   Right Some Never 183.00
## 237 Female   17.6   17.3 Right  R on L     85   Right Freq Never 168.50
##          M.I    Age
## 1     Metric 18.250
## 2   Imperial 17.583
## 3       <NA> 16.917
## 4     Metric 20.333
## 5     Metric 23.667
## 6   Imperial 21.000
## 7   Imperial 18.833
## 8     Metric 35.833
## 9     Metric 19.000
## 10    Metric 22.333
## 11  Imperial 28.500
## 12      <NA> 18.250
## 13    Metric 18.750
## 14    Metric 17.500
## 15      <NA> 17.167
## 16    Metric 17.167
## 17    Metric 19.333
## 18  Imperial 18.333
## 19  Imperial 19.750
## 20    Metric 17.917
## 21  Imperial 17.917
## 22  Imperial 18.167
## 23  Imperial 17.833
## 24    Metric 18.250
## 25      <NA> 19.167
## 26      <NA> 17.583
## 27  Imperial 17.500
## 28  Imperial 18.083
## 29      <NA> 21.917
## 30    Metric 19.250
## 31      <NA> 41.583
## 32    Metric 17.500
## 33  Imperial 39.750
## 34    Metric 17.167
## 35      <NA> 17.750
## 36    Metric 18.000
## 37    Metric 19.000
## 38    Metric 17.917
## 39    Metric 35.500
## 40    Metric 19.917
## 41    Metric 17.500
## 42  Imperial 17.083
## 43    Metric 28.583
## 44  Imperial 17.500
## 45  Imperial 17.417
## 46  Imperial 18.500
## 47    Metric 18.917
## 48    Metric 19.417
## 49    Metric 18.417
## 50    Metric 30.750
## 51    Metric 18.500
## 52    Metric 17.500
## 53  Imperial 18.333
## 54    Metric 17.417
## 55    Metric 20.000
## 56    Metric 18.333
## 57  Imperial 17.167
## 58      <NA> 17.417
## 59  Imperial 17.667
## 60  Imperial 18.417
## 61    Metric 20.333
## 62  Imperial 17.333
## 63    Metric 17.500
## 64    Metric 19.833
## 65    Metric 18.583
## 66    Metric 18.000
## 67    Metric 30.667
## 68      <NA> 16.917
## 69    Metric 19.917
## 70      <NA> 18.333
## 71    Metric 17.583
## 72    Metric 17.833
## 73    Metric 17.667
## 74  Imperial 17.417
## 75    Metric 17.750
## 76    Metric 20.667
## 77    Metric 23.583
## 78  Imperial 17.167
## 79  Imperial 17.083
## 80  Imperial 18.750
## 81      <NA> 16.750
## 82  Imperial 20.167
## 83      <NA> 17.667
## 84      <NA> 17.167
## 85  Imperial 17.167
## 86    Metric 17.250
## 87  Imperial 18.000
## 88    Metric 18.750
## 89    Metric 21.583
## 90      <NA> 17.583
## 91    Metric 19.667
## 92      <NA> 18.000
## 93    Metric 19.667
## 94    Metric 17.083
## 95    Metric 22.833
## 96      <NA> 17.083
## 97    Metric 19.417
## 98    Metric 23.250
## 99    Metric 18.083
## 100 Imperial 19.083
## 101   Metric 18.917
## 102   Metric 17.750
## 103   Metric 20.833
## 104   Metric 20.167
## 105   Metric 17.667
## 106   Metric 18.250
## 107   Metric 17.000
## 108     <NA> 18.500
## 109   Metric 18.583
## 110 Imperial 17.750
## 111   Metric 24.167
## 112 Imperial 18.167
## 113 Imperial 21.167
## 114   Metric 17.917
## 115 Imperial 17.417
## 116   Metric 20.500
## 117   Metric 22.917
## 118 Imperial 18.917
## 119   Metric 18.917
## 120   Metric 20.083
## 121     <NA> 17.500
## 122   Metric 18.250
## 123   Metric 17.500
## 124   Metric 17.417
## 125 Imperial 21.000
## 126 Imperial 19.833
## 127 Imperial 17.667
## 128   Metric 18.083
## 129   Metric 18.000
## 130   Metric 18.333
## 131 Imperial 20.000
## 132   Metric 18.750
## 133     <NA> 19.083
## 134 Imperial 18.500
## 135 Imperial 18.417
## 136   Metric 19.167
## 137   Metric 21.500
## 138 Imperial 19.333
## 139   Metric 21.417
## 140   Metric 18.667
## 141   Metric 17.500
## 142   Metric 21.083
## 143 Imperial 17.250
## 144   Metric 19.000
## 145   Metric 19.167
## 146   Metric 19.000
## 147 Imperial 23.000
## 148 Imperial 32.667
## 149   Metric 20.000
## 150   Metric 20.167
## 151   Metric 25.500
## 152   Metric 18.167
## 153 Imperial 23.500
## 154 Imperial 70.417
## 155 Imperial 43.833
## 156   Metric 23.583
## 157     <NA> 21.083
## 158 Imperial 44.250
## 159 Imperial 19.667
## 160   Metric 17.917
## 161   Metric 18.417
## 162   Metric 21.167
## 163 Imperial 17.500
## 164   Metric 29.083
## 165   Metric 19.917
## 166   Metric 18.500
## 167   Metric 18.167
## 168 Imperial 32.750
## 169   Metric 17.417
## 170 Imperial 17.333
## 171   Metric 73.000
## 172 Imperial 18.667
## 173     <NA> 18.500
## 174   Metric 18.667
## 175 Imperial 17.750
## 176   Metric 17.250
## 177 Imperial 36.583
## 178   Metric 23.083
## 179     <NA> 19.250
## 180 Imperial 17.167
## 181   Metric 23.417
## 182 Imperial 17.083
## 183   Metric 17.250
## 184   Metric 23.833
## 185   Metric 18.750
## 186   Metric 21.167
## 187   Metric 24.667
## 188   Metric 18.500
## 189   Metric 20.333
## 190   Metric 20.083
## 191 Imperial 18.917
## 192   Metric 27.333
## 193   Metric 18.917
## 194 Imperial 17.250
## 195 Imperial 18.167
## 196   Metric 26.500
## 197 Imperial 17.000
## 198 Imperial 17.167
## 199   Metric 19.167
## 200   Metric 17.500
## 201   Metric 19.250
## 202   Metric 21.333
## 203     <NA> 18.583
## 204   Metric 20.167
## 205   Metric 18.667
## 206   Metric 17.083
## 207   Metric 17.417
## 208   Metric 18.583
## 209   Metric 19.500
## 210   Metric 18.500
## 211   Metric 17.167
## 212   Metric 17.250
## 213     <NA> 17.500
## 214   Metric 20.417
## 215 Imperial 17.083
## 216   Metric 21.250
## 217     <NA> 19.250
## 218   Metric 19.333
## 219   Metric 19.167
## 220   Metric 18.917
## 221   Metric 20.917
## 222 Imperial 17.333
## 223 Imperial 18.167
## 224   Metric 20.750
## 225     <NA> 19.917
## 226     <NA> 18.667
## 227 Imperial 18.417
## 228   Metric 17.417
## 229   Metric 20.333
## 230   Metric 19.333
## 231   Metric 18.167
## 232 Imperial 20.750
## 233 Imperial 17.667
## 234   Metric 16.917
## 235   Metric 18.583
## 236   Metric 17.167
## 237   Metric 17.750

Making a graph

table(df$Sex, exclude = NULL)
## 
## Female   Male   <NA> 
##    118    118      1
qplot(df$Sex)

table(df$Smoke)
## 
## Heavy Never Occas Regul 
##    11   189    19    17
qplot(df$Smoke)

summary(df$Age)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   16.75   17.67   18.58   20.37   20.17   73.00
hist(df$Age)

hist(df$H.rate)

Missing values in variables

table(is.na(df)) # missing values
## 
## FALSE  TRUE 
##  2737   107
table(is.na(df$Sex))
## 
## FALSE  TRUE 
##   236     1
table(is.na(df$H.rate))
## 
## FALSE  TRUE 
##   192    45
table(is.na(df$Smoke))
## 
## FALSE  TRUE 
##   236     1
table(is.na(df$Exer))
## 
## FALSE 
##   237
mean(df$H.rate) # mean of H.rate
## [1] NA
mean(df$H.rate, na.rm = T) # mean without NAs(missing)
## [1] 74.15104

Let’s see possible relationship between variables

# Height and H.rate
ggplot(data=df, aes(x = Height, y = H.rate)) + 
  geom_point()
## Warning: Removed 66 rows containing missing values (geom_point).

# Smoke and H.rate
df_smoke <- df %>%
  group_by (Smoke) %>%
  summarise(mean_H.rate = mean(H.rate, na.rm = T))

df_smoke  
## # A tibble: 5 x 2
##    Smoke mean_H.rate
##   <fctr>       <dbl>
## 1  Heavy    78.28571
## 2  Never    73.99342
## 3  Occas    73.93750
## 4  Regul    73.68750
## 5   <NA>    80.00000
ggplot(data=df_smoke, aes(x= Smoke, y = mean_H.rate)) + 
  geom_col()

ggplot(data = df, aes(x = Smoke, y = H.rate)) +
  geom_boxplot()
## Warning: Removed 45 rows containing non-finite values (stat_boxplot).