Diabetes Dataset

The dataset is originally from the National Institute of Diabetes and Kidney Diseases. All the patients are females who are at least 21 years old and of Pima Indian heritage (they are Native Americans). It has a dependent variable, which is the outcome, and this outcome depends on several variables, including pregnancies, blood pressure, age, skin thickness, insulin, BMI, and the diabetes pedigree function. The dataset includes several independent variables that are believed to influence the outcome (whether a person has diabetes). A brief explanation of each variable is as follows:

AIM

To gain a clear understanding of the factors associated with diabetes among Pima Indian women by cleaning, analyzing, and visualizing the dataset to reveal patterns and insights.

QUESTIONS
  • Are there any missing, incorrect, or inconsistent values in the diabetes dataset?
  • How are the variables distributed across the population?
  • Which variables show differences between diabetic and non-diabetic individuals when visualized?
OBJECTIVES

The objectives of this project is to:

  • ensure the dataset is clean, accurate, and well-prepared for analysis.
  • explore the dataset to summarize and understand the key characteristics of the variables.
  • visualize important variables that may influence diabetes outcomes.

Loading the libraries

library(tidyverse)
## Warning: package 'tidyverse' was built under R version 4.4.3
## Warning: package 'tidyr' was built under R version 4.4.3
## Warning: package 'purrr' was built under R version 4.4.3
## Warning: package 'forcats' was built under R version 4.4.3
## Warning: package 'lubridate' was built under R version 4.4.3
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.1.4     ✔ readr     2.1.5
## ✔ forcats   1.0.1     ✔ stringr   1.5.1
## ✔ ggplot2   3.5.1     ✔ tibble    3.2.1
## ✔ lubridate 1.9.4     ✔ tidyr     1.3.1
## ✔ purrr     1.1.0     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ purrr::%||%()   masks base::%||%()
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(corrplot)
## Warning: package 'corrplot' was built under R version 4.4.3
## corrplot 0.95 loaded

Importing dataset

diabetes <- read.csv("C:\\Users\\user\\Desktop\\Saheed\\Diabetes\\diabetes.csv")
View(diabetes)
head(diabetes) # to check the first few head of my data
##   Pregnancies Glucose BloodPressure SkinThickness Insulin  BMI
## 1           6     148            72            35       0 33.6
## 2           1      85            66            29       0 26.6
## 3           8     183            64             0       0 23.3
## 4           1      89            66            23      94 28.1
## 5           0     137            40            35     168 43.1
## 6           5     116            74             0       0 25.6
##   DiabetesPedigreeFunction Age Outcome
## 1                    0.627  50       1
## 2                    0.351  31       0
## 3                    0.672  32       1
## 4                    0.167  21       0
## 5                    2.288  33       1
## 6                    0.201  30       0

Checking for missing values

sapply(diabetes, function(x) sum(is.na(diabetes)))
##              Pregnancies                  Glucose            BloodPressure 
##                        0                        0                        0 
##            SkinThickness                  Insulin                      BMI 
##                        0                        0                        0 
## DiabetesPedigreeFunction                      Age                  Outcome 
##                        0                        0                        0
dim(diabetes) # to know how many row and observation
## [1] 768   9
summary(diabetes) #to describe my data
##   Pregnancies        Glucose      BloodPressure    SkinThickness  
##  Min.   : 0.000   Min.   :  0.0   Min.   :  0.00   Min.   : 0.00  
##  1st Qu.: 1.000   1st Qu.: 99.0   1st Qu.: 62.00   1st Qu.: 0.00  
##  Median : 3.000   Median :117.0   Median : 72.00   Median :23.00  
##  Mean   : 3.845   Mean   :120.9   Mean   : 69.11   Mean   :20.54  
##  3rd Qu.: 6.000   3rd Qu.:140.2   3rd Qu.: 80.00   3rd Qu.:32.00  
##  Max.   :17.000   Max.   :199.0   Max.   :122.00   Max.   :99.00  
##     Insulin           BMI        DiabetesPedigreeFunction      Age       
##  Min.   :  0.0   Min.   : 0.00   Min.   :0.0780           Min.   :21.00  
##  1st Qu.:  0.0   1st Qu.:27.30   1st Qu.:0.2437           1st Qu.:24.00  
##  Median : 30.5   Median :32.00   Median :0.3725           Median :29.00  
##  Mean   : 79.8   Mean   :31.99   Mean   :0.4719           Mean   :33.24  
##  3rd Qu.:127.2   3rd Qu.:36.60   3rd Qu.:0.6262           3rd Qu.:41.00  
##  Max.   :846.0   Max.   :67.10   Max.   :2.4200           Max.   :81.00  
##     Outcome     
##  Min.   :0.000  
##  1st Qu.:0.000  
##  Median :0.000  
##  Mean   :0.349  
##  3rd Qu.:1.000  
##  Max.   :1.000
str(diabetes) #Used to check the structure of the dataset
## 'data.frame':    768 obs. of  9 variables:
##  $ Pregnancies             : int  6 1 8 1 0 5 3 10 2 8 ...
##  $ Glucose                 : int  148 85 183 89 137 116 78 115 197 125 ...
##  $ BloodPressure           : int  72 66 64 66 40 74 50 0 70 96 ...
##  $ SkinThickness           : int  35 29 0 23 35 0 32 0 45 0 ...
##  $ Insulin                 : int  0 0 0 94 168 0 88 0 543 0 ...
##  $ BMI                     : num  33.6 26.6 23.3 28.1 43.1 25.6 31 35.3 30.5 0 ...
##  $ DiabetesPedigreeFunction: num  0.627 0.351 0.672 0.167 2.288 ...
##  $ Age                     : int  50 31 32 21 33 30 26 29 53 54 ...
##  $ Outcome                 : int  1 0 1 0 1 0 1 0 1 1 ...

Converting integers to numeric

#Converting integers to numeric
diabetes$Pregnancies <- as.numeric(diabetes$Pregnancies)
diabetes$Glucose <- as.numeric(diabetes$Glucose)
diabetes$BloodPressure <- as.numeric(diabetes$BloodPressure)
diabetes$SkinThickness <- as.numeric(diabetes$SkinThickness)
diabetes$Insulin <- as.numeric(diabetes$Insulin)
diabetes$Age <- as.numeric(diabetes$Age)
diabetes$Outcome <- as.numeric(diabetes$Outcome)
diabetes$BMI <- as.numeric(diabetes$BMI)
str(diabetes)
## 'data.frame':    768 obs. of  9 variables:
##  $ Pregnancies             : num  6 1 8 1 0 5 3 10 2 8 ...
##  $ Glucose                 : num  148 85 183 89 137 116 78 115 197 125 ...
##  $ BloodPressure           : num  72 66 64 66 40 74 50 0 70 96 ...
##  $ SkinThickness           : num  35 29 0 23 35 0 32 0 45 0 ...
##  $ Insulin                 : num  0 0 0 94 168 0 88 0 543 0 ...
##  $ BMI                     : num  33.6 26.6 23.3 28.1 43.1 25.6 31 35.3 30.5 0 ...
##  $ DiabetesPedigreeFunction: num  0.627 0.351 0.672 0.167 2.288 ...
##  $ Age                     : num  50 31 32 21 33 30 26 29 53 54 ...
##  $ Outcome                 : num  1 0 1 0 1 0 1 0 1 1 ...

Checking for the count of each observation

#Checking for the count of each variables in my dataset
table(diabetes$Outcome)
## 
##   0   1 
## 500 268
table(diabetes$Pregnancies)
## 
##   0   1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  17 
## 111 135 103  75  68  57  50  45  38  28  24  11   9  10   2   1   1
table(diabetes$Glucose)
## 
##   0  44  56  57  61  62  65  67  68  71  72  73  74  75  76  77  78  79  80  81 
##   5   1   1   2   1   1   1   1   3   4   1   3   4   2   2   2   4   3   6   6 
##  82  83  84  85  86  87  88  89  90  91  92  93  94  95  96  97  98  99 100 101 
##   3   6  10   7   3   7   9   6  11   9   9   7   7  13   8   9   3  17  17   9 
## 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 
##  13   9   6  13  14  11  13  12   6  14  13   5  11  10   7  11   6  11  11   6 
## 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 
##  12   9  11  14   9   5  11  14   7   5   5   5   6   4   8   8   5   8   5   5 
## 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 
##   5   6   7   5   9   7   4   1   3   6   4   2   6   5   3   2   8   2   1   3 
## 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 
##   6   3   3   4   3   3   4   1   2   3   1   6   2   2   2   1   1   5   5   5 
## 182 183 184 186 187 188 189 190 191 193 194 195 196 197 198 199 
##   1   3   3   1   4   2   4   1   1   2   3   2   3   4   1   1
table(diabetes$BloodPressure)
## 
##   0  24  30  38  40  44  46  48  50  52  54  55  56  58  60  61  62  64  65  66 
##  35   1   2   1   1   4   2   5  13  11  11   2  12  21  37   1  34  43   7  30 
##  68  70  72  74  75  76  78  80  82  84  85  86  88  90  92  94  95  96  98 100 
##  45  57  44  52   8  39  45  40  30  23   6  21  25  22   8   6   1   4   3   3 
## 102 104 106 108 110 114 122 
##   1   2   3   2   3   1   1
table(diabetes$SkinThickness)
## 
##   0   7   8  10  11  12  13  14  15  16  17  18  19  20  21  22  23  24  25  26 
## 227   2   2   5   6   7  11   6  14   6  14  20  18  13  10  16  22  12  16  16 
##  27  28  29  30  31  32  33  34  35  36  37  38  39  40  41  42  43  44  45  46 
##  23  20  17  27  19  31  20   8  15  14  16   7  18  16  15  11   6   5   6   8 
##  47  48  49  50  51  52  54  56  60  63  99 
##   4   4   3   3   1   2   2   1   1   1   1
table(diabetes$Insulin)
## 
##   0  14  15  16  18  22  23  25  29  32  36  37  38  40  41  42  43  44  45  46 
## 374   1   1   1   2   1   2   1   1   1   3   2   1   2   1   1   1   3   3   1 
##  48  49  50  51  52  53  54  55  56  57  58  59  60  61  63  64  65  66  67  68 
##   3   5   3   1   1   2   4   2   5   2   2   1   2   1   3   4   1   5   2   1 
##  70  71  72  73  74  75  76  77  78  79  81  82  83  84  85  86  87  88  89  90 
##   3   4   1   1   3   3   5   2   2   2   1   3   3   1   2   1   2   4   1   4 
##  91  92  94  95  96  99 100 105 106 108 110 112 114 115 116 119 120 122 125 126 
##   1   3   7   2   2   2   7  11   3   1   6   1   2   6   2   1   8   2   4   3 
## 127 128 129 130 132 135 140 142 144 145 146 148 150 152 155 156 158 159 160 165 
##   1   1   1   9   2   6   9   1   2   3   1   2   2   2   4   3   2   1   4   4 
## 166 167 168 170 171 175 176 178 180 182 183 184 185 188 190 191 192 193 194 196 
##   1   2   4   2   1   3   3   1   7   3   1   1   2   1   4   1   2   1   3   1 
## 200 204 205 207 210 215 220 225 228 230 231 235 237 240 245 249 250 255 258 265 
##   4   1   2   2   5   3   2   2   1   2   2   1   1   2   1   1   1   1   1   2 
## 270 271 272 274 275 277 278 280 284 285 291 293 300 304 310 318 321 325 326 328 
##   1   1   1   1   1   1   1   1   1   2   1   2   1   1   1   1   1   3   1   1 
## 330 335 342 360 370 375 387 392 402 415 440 465 474 478 480 485 495 510 540 543 
##   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   1   2   1   1   1 
## 545 579 600 680 744 846 
##   1   1   1   1   1   1
table(diabetes$Age)
## 
## 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 
## 63 72 38 46 48 33 32 35 29 21 24 16 17 14 10 16 19 16 12 13 22 18 13  8 15 13 
## 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 72 81 
##  6  5  5  8  8  8  5  6  4  3  5  7  3  5  2  4  4  1  3  4  3  1  2  1  1  1
table(diabetes$DiabetesPedigreeFunction)
## 
## 0.078 0.084 0.085 0.088 0.089 0.092 0.096   0.1 0.101 0.102 0.107 0.108 0.115 
##     1     1     2     2     1     1     1     1     1     1     1     1     1 
## 0.118 0.121 0.122 0.123 0.126 0.127 0.128 0.129  0.13 0.133 0.134 0.135 0.136 
##     1     2     1     1     2     2     2     2     1     1     2     1     1 
## 0.137 0.138  0.14 0.141 0.142 0.143 0.144 0.145 0.147 0.148 0.149  0.15 0.151 
##     2     1     2     3     3     2     1     1     1     3     1     2     3 
## 0.153 0.154 0.155 0.156 0.157 0.158 0.159  0.16 0.161 0.162 0.163 0.164 0.165 
##     2     1     1     1     1     2     2     1     2     1     1     2     3 
## 0.166 0.167  0.17 0.171 0.173 0.174 0.175 0.176 0.177 0.178 0.179  0.18 0.181 
##     1     4     1     1     1     1     1     1     1     3     1     2     1 
## 0.182 0.183 0.186 0.187 0.188 0.189  0.19 0.191 0.192 0.194 0.196 0.197 0.198 
##     1     2     1     3     1     2     4     2     2     1     1     4     2 
## 0.199   0.2 0.201 0.203 0.204 0.205 0.206 0.207 0.209  0.21 0.212 0.215 0.217 
##     1     3     1     2     2     3     2     5     2     1     2     1     1 
## 0.218 0.219  0.22 0.221 0.222 0.223 0.225 0.226 0.227 0.229  0.23 0.231 0.232 
##     2     2     1     1     1     2     1     1     1     1     2     2     1 
## 0.233 0.234 0.235 0.236 0.237 0.238 0.239  0.24 0.241 0.243 0.244 0.245 0.246 
##     2     2     3     3     4     5     1     2     1     1     2     4     1 
## 0.247 0.248 0.249 0.251 0.252 0.253 0.254 0.255 0.256 0.257 0.258 0.259  0.26 
##     2     2     2     2     2     1     6     1     3     3     6     5     4 
## 0.261 0.262 0.263 0.264 0.265 0.267 0.268 0.269  0.27 0.271 0.272 0.277 0.278 
##     5     2     4     1     1     2     5     2     4     1     1     1     2 
## 0.279  0.28 0.282 0.283 0.284 0.285 0.286 0.287 0.289  0.29 0.292 0.293 0.294 
##     1     3     2     1     4     2     2     1     2     2     3     2     3 
## 0.295 0.296 0.297 0.299   0.3 0.302 0.303 0.304 0.305 0.306 0.307 0.313 0.314 
##     1     1     1     4     1     2     1     4     3     2     1     2     2 
## 0.315 0.317 0.318 0.319 0.323 0.324 0.325 0.326 0.328 0.329  0.33 0.331 0.332 
##     2     1     1     1     2     2     1     2     2     1     1     1     1 
## 0.334 0.335 0.336 0.337 0.338  0.34 0.341 0.342 0.343 0.344 0.345 0.346 0.347 
##     2     1     2     3     1     3     1     2     2     2     1     1     1 
## 0.349 0.351 0.352 0.355 0.356 0.358 0.361 0.362 0.364 0.365 0.366 0.368  0.37 
##     3     1     1     1     2     1     2     1     2     2     1     2     2 
## 0.371 0.374 0.375 0.376 0.378  0.38 0.381 0.382 0.383 0.385 0.388 0.389 0.391 
##     1     1     1     1     2     2     1     1     1     1     1     3     3 
## 0.393 0.394 0.395 0.396 0.398 0.399   0.4 0.401 0.402 0.403 0.404 0.407 0.408 
##     1     1     1     1     1     1     2     1     2     2     1     2     1 
## 0.409 0.411 0.412 0.415 0.416 0.417 0.419  0.42 0.421 0.422 0.423 0.426 0.427 
##     1     1     2     2     1     1     1     1     1     3     1     1     1 
##  0.43 0.431 0.432 0.433 0.434 0.435 0.439 0.441 0.443 0.444 0.446 0.447 0.451 
##     2     1     1     2     2     1     2     1     3     2     1     1     1 
## 0.452 0.453 0.454 0.455 0.457  0.46 0.463 0.464 0.465 0.466 0.467 0.471 0.472 
##     3     1     1     2     1     1     1     1     1     2     1     2     1 
## 0.479 0.482 0.483 0.484 0.485 0.487 0.488 0.491 0.493 0.495 0.496 0.497 0.498 
##     1     1     1     1     1     1     1     1     1     1     3     2     1 
## 0.499 0.501 0.502 0.503 0.507 0.509  0.51 0.512 0.514 0.515 0.516  0.52 0.525 
##     1     1     1     1     1     1     1     1     2     1     1     3     1 
## 0.526 0.527 0.528 0.529 0.532 0.534 0.536 0.537 0.539 0.542 0.543 0.545 0.546 
##     1     2     2     1     1     1     2     1     1     2     2     1     1 
## 0.547 0.549 0.551 0.554 0.557 0.559  0.56 0.561 0.564 0.565 0.569 0.571 0.572 
##     1     1     4     1     2     2     1     1     1     1     1     1     1 
## 0.575 0.578  0.58 0.582 0.583 0.586 0.587 0.588 0.591 0.593 0.595 0.597 0.598 
##     1     1     1     2     3     2     3     1     2     1     1     1     1 
##   0.6 0.601 0.605 0.607  0.61 0.612 0.613 0.614 0.615 0.619 0.624 0.626 0.627 
##     2     1     2     1     1     1     1     1     1     1     1     1     1 
## 0.629  0.63 0.631 0.637  0.64 0.645 0.646 0.647 0.649 0.652 0.654 0.655 0.658 
##     1     1     1     2     2     1     1     2     1     2     2     1     1 
##  0.66 0.661 0.665 0.666 0.672 0.673 0.674 0.677 0.678  0.68 0.682 0.686 0.687 
##     2     1     1     1     1     1     2     1     2     1     1     2     4 
## 0.692 0.693 0.695 0.696 0.698 0.699 0.702 0.703 0.704 0.705 0.709 0.711 0.717 
##     4     1     1     1     1     1     1     1     1     1     1     1     1 
## 0.718 0.719 0.721 0.722 0.725 0.727  0.73 0.731 0.732 0.733 0.734 0.735 0.738 
##     1     1     1     1     1     2     1     1     1     2     1     1     1 
## 0.741 0.742 0.743 0.744 0.745 0.748 0.757 0.759 0.761 0.766 0.767 0.771 0.773 
##     1     1     1     1     1     1     1     1     2     1     1     1     1 
## 0.785 0.787 0.801 0.803 0.804 0.805 0.808 0.813 0.816 0.817 0.821 0.825 0.826 
##     1     2     1     1     1     1     1     1     1     1     1     1     1 
## 0.828 0.831 0.832 0.833 0.839  0.84 0.845 0.851 0.855 0.856 0.867 0.871 0.874 
##     1     1     1     1     2     1     1     1     1     1     1     1     1 
## 0.875 0.878  0.88 0.881 0.886 0.892 0.893 0.904 0.905 0.917 0.925 0.926  0.93 
##     2     1     1     1     1     1     1     1     2     1     1     1     1 
## 0.932 0.933 0.944 0.947 0.949 0.955 0.956 0.962 0.966 0.968  0.97 0.997 1.001 
##     1     1     1     1     1     1     1     2     1     2     1     1     1 
## 1.021 1.022 1.034 1.057 1.072 1.076 1.095 1.096 1.101 1.114 1.127 1.136 1.138 
##     1     1     1     1     1     1     1     1     1     1     1     1     1 
## 1.144 1.154 1.159 1.162 1.174 1.182 1.189 1.191 1.213 1.222 1.224 1.251 1.258 
##     1     1     1     1     1     1     1     1     1     1     2     1     1 
## 1.268 1.282 1.292 1.318 1.321 1.353  1.39 1.391 1.394   1.4 1.441 1.461 1.476 
##     1     1     1     1     1     1     1     1     1     1     1     1     1 
##   1.6 1.698 1.699 1.731 1.781 1.893 2.137 2.288 2.329  2.42 
##     1     1     1     1     1     1     1     1     1     1
table(diabetes$BMI)
## 
##    0 18.2 18.4 19.1 19.3 19.4 19.5 19.6 19.9   20 20.1 20.4 20.8   21 21.1 21.2 
##   11    3    1    1    1    1    2    3    1    1    1    2    2    2    4    1 
## 21.7 21.8 21.9 22.1 22.2 22.3 22.4 22.5 22.6 22.7 22.9   23 23.1 23.2 23.3 23.4 
##    1    5    3    2    2    1    2    3    2    1    2    2    4    3    2    1 
## 23.5 23.6 23.7 23.8 23.9   24 24.1 24.2 24.3 24.4 24.5 24.6 24.7 24.8 24.9   25 
##    3    3    2    2    2    4    1    6    4    3    1    4    5    3    1    6 
## 25.1 25.2 25.3 25.4 25.5 25.6 25.8 25.9   26 26.1 26.2 26.3 26.4 26.5 26.6 26.7 
##    3    6    2    4    2    6    2    7    4    3    4    1    3    3    4    1 
## 26.8 26.9   27 27.1 27.2 27.3 27.4 27.5 27.6 27.7 27.8 27.9   28 28.1 28.2 28.3 
##    4    1    2    3    2    4    5    5    7    4    7    2    5    1    2    2 
## 28.4 28.5 28.6 28.7 28.8 28.9   29 29.2 29.3 29.5 29.6 29.7 29.8 29.9   30 30.1 
##    6    3    2    7    2    6    5    1    5    5    4    8    3    5    7    9 
## 30.2 30.3 30.4 30.5 30.7 30.8 30.9   31 31.1 31.2 31.3 31.6 31.9   32 32.1 32.2 
##    1    1    7    7    1    9    5    2    1   12    1   12    2   13    1    1 
## 32.3 32.4 32.5 32.6 32.7 32.8 32.9 33.1 33.2 33.3 33.5 33.6 33.7 33.8 33.9   34 
##    3   10    6    1    3    9    9    3    7   10    1    8    5    5    2    6 
## 34.1 34.2 34.3 34.4 34.5 34.6 34.7 34.8 34.9   35 35.1 35.2 35.3 35.4 35.5 35.6 
##    4    8    6    4    5    5    4    2    6    4    3    2    4    4    7    2 
## 35.7 35.8 35.9   36 36.1 36.2 36.3 36.4 36.5 36.6 36.7 36.8 36.9   37 37.1 37.2 
##    4    5    5    2    3    1    3    2    4    5    1    6    3    1    2    4 
## 37.3 37.4 37.5 37.6 37.7 37.8 37.9   38 38.1 38.2 38.3 38.4 38.5 38.6 38.7 38.8 
##    1    3    2    5    5    3    2    2    3    4    1    2    6    1    3    1 
## 38.9   39 39.1 39.2 39.3 39.4 39.5 39.6 39.7 39.8 39.9   40 40.1 40.2 40.5 40.6 
##    1    4    4    2    1    7    3    1    1    2    3    2    1    1    3    4 
## 40.7 40.8 40.9   41 41.2 41.3 41.5 41.8   42 42.1 42.2 42.3 42.4 42.6 42.7 42.8 
##    1    1    2    1    1    3    2    1    1    2    1    3    3    1    2    1 
## 42.9 43.1 43.2 43.3 43.4 43.5 43.6   44 44.1 44.2 44.5 44.6   45 45.2 45.3 45.4 
##    4    1    1    5    2    2    2    2    1    2    2    1    1    1    3    1 
## 45.5 45.6 45.7 45.8 46.1 46.2 46.3 46.5 46.7 46.8 47.9 48.3 48.8 49.3 49.6 49.7 
##    1    2    1    1    2    2    1    1    1    2    2    1    1    1    1    1 
##   50 52.3 52.9 53.2   55 57.3 59.4 67.1 
##    1    2    1    1    1    1    1    1

Univariate Analysis

# Checking the pregnancy count for the women.
preg <- diabetes %>%
  count(Pregnancies)
preg
##    Pregnancies   n
## 1            0 111
## 2            1 135
## 3            2 103
## 4            3  75
## 5            4  68
## 6            5  57
## 7            6  50
## 8            7  45
## 9            8  38
## 10           9  28
## 11          10  24
## 12          11  11
## 13          12   9
## 14          13  10
## 15          14   2
## 16          15   1
## 17          17   1
ggplot(preg,aes(x=Pregnancies,y=n))+
  geom_col(fill="blue")+
  geom_text(aes(label = n),vjust=-0.1)+
  labs(title="Count of Pregnancies",
       x="Pregnancies",
       y="Count"
  )+
  theme_minimal()

This displays the number of females and how many times they have been pregnant.

out<-diabetes%>%
  count(Outcome)
out
##   Outcome   n
## 1       0 500
## 2       1 268
ggplot(out,aes(x=Outcome,y=n))+
  geom_col(fill="red3")+
  geom_text(aes(label=n),vjust=-0.3)+
  labs(title = "Count of Outcome",
       x="Outcome",
       y="Count"
    
  )+
  theme_minimal()

Bivariate Analysis

Categorizing the pregnancies into groups and visualizing the pregnancy group to see how they affect the diabetes outcome.

Pregnancy_group <- cut(
 diabetes$Pregnancies,
  breaks = c(0, 6, 12, 17),
  labels = c("Normal Pregnancy", "Moderate Pregnancy", "High Pregnancy"),
  right = TRUE, include.lowest = TRUE
)
ggplot(diabetes, aes(Pregnancy_group, fill = factor(Outcome))) +
  geom_bar(position = "dodge") +
  labs(title="Pregnancy Group vs Diabetes Outcome",
       x="Pregnancy Group", y="Count") +
  theme_minimal()

In the Pima dataset, most women fall into normal pregnancy counts. Since this group is bigger, it will contain more diabetes cases, even if the percentage is not higher.

Categorizing age into groups and checking their count and visualizing to see how age affects the diabetes outcome.

Age_group <- cut(diabetes$Age,
                          breaks = c(0, 30, 45, 60, 81),
                          labels = c("Young", "Middle-aged", "Older Adult", "Elderly"),
                          right = TRUE)




table(diabetes$Age_group)
## < table of extent 0 >
ggplot(diabetes, aes(Age_group, fill = factor(Outcome))) +
  geom_bar(position = "dodge") +
  labs(title="Age Group vs Diabetes Outcome",
       x="Age Group", y="Count") +
  theme_minimal()

The young age group has the highest population of non diabetes patient while the people in the middle age has the highest number of diabetes patient.

Categorizing BMI (Body Mass Index) into groups and checking their count and visualizing to see how BMI affects the diabetes outcome.

diabetes$BMI <- as.numeric(diabetes$BMI)
diabetes$BMI
##   [1] 33.6 26.6 23.3 28.1 43.1 25.6 31.0 35.3 30.5  0.0 37.6 38.0 27.1 30.1 25.8
##  [16] 30.0 45.8 29.6 43.3 34.6 39.3 35.4 39.8 29.0 36.6 31.1 39.4 23.2 22.2 34.1
##  [31] 36.0 31.6 24.8 19.9 27.6 24.0 33.2 32.9 38.2 37.1 34.0 40.2 22.7 45.4 27.4
##  [46] 42.0 29.7 28.0 39.1  0.0 19.4 24.2 24.4 33.7 34.7 23.0 37.7 46.8 40.5 41.5
##  [61]  0.0 32.9 25.0 25.4 32.8 29.0 32.5 42.7 19.6 28.9 32.9 28.6 43.4 35.1 32.0
##  [76] 24.7 32.6 37.7 43.2 25.0 22.4  0.0 29.3 24.6 48.8 32.4 36.6 38.5 37.1 26.5
##  [91] 19.1 32.0 46.7 23.8 24.7 33.9 31.6 20.4 28.7 49.7 39.0 26.1 22.5 26.6 39.6
## [106] 28.7 22.4 29.5 34.3 37.4 33.3 34.0 31.2 34.0 30.5 31.2 34.0 33.7 28.2 23.2
## [121] 53.2 34.2 33.6 26.8 33.3 55.0 42.9 33.3 34.5 27.9 29.7 33.3 34.5 38.3 21.1
## [136] 33.8 30.8 28.7 31.2 36.9 21.1 39.5 32.5 32.4 32.8  0.0 32.8 30.5 33.7 27.3
## [151] 37.4 21.9 34.3 40.6 47.9 50.0 24.6 25.2 29.0 40.9 29.7 37.2 44.2 29.7 31.6
## [166] 29.9 32.5 29.6 31.9 28.4 30.8 35.4 28.9 43.5 29.7 32.7 31.2 67.1 45.0 39.1
## [181] 23.2 34.9 27.7 26.8 27.6 35.9 30.1 32.0 27.9 31.6 22.6 33.1 30.4 52.3 24.4
## [196] 39.4 24.3 22.9 34.8 30.9 31.0 40.1 27.3 20.4 37.7 23.9 37.5 37.7 33.2 35.5
## [211] 27.7 42.8 34.2 42.6 34.2 41.8 35.8 30.0 29.0 37.8 34.6 31.6 25.2 28.8 23.6
## [226] 34.6 35.7 37.2 36.7 45.2 44.0 46.2 25.4 35.0 29.7 43.6 35.9 44.1 30.8 18.4
## [241] 29.2 33.1 25.6 27.1 38.2 30.0 31.2 52.3 35.4 30.1 31.2 28.0 24.4 35.8 27.6
## [256] 33.6 30.1 28.7 25.9 33.3 30.9 30.0 32.1 32.4 32.0 33.6 36.3 40.0 25.1 27.5
## [271] 45.6 25.2 23.0 33.2 34.2 40.5 26.5 27.8 24.9 25.3 37.9 35.9 32.4 30.4 27.0
## [286] 26.0 38.7 45.6 20.8 36.1 36.9 36.6 43.3 40.5 21.9 35.5 28.0 30.7 36.6 23.6
## [301] 32.3 31.6 35.8 52.9 21.0 39.7 25.5 24.8 30.5 32.9 26.2 39.4 26.6 29.5 35.9
## [316] 34.1 19.3 30.5 38.1 23.5 27.5 31.6 27.4 26.8 35.7 25.6 35.1 35.1 45.5 30.8
## [331] 23.1 32.7 43.3 23.6 23.9 47.9 33.8 31.2 34.2 39.9 25.9 25.9 32.0 34.7 36.8
## [346] 38.5 28.7 23.5 21.8 41.0 42.2 31.2 34.4 27.2 42.7 30.4 33.3 39.9 35.3 36.5
## [361] 31.2 29.8 39.2 38.5 34.9 34.0 27.6 21.0 27.5 32.8 38.4  0.0 35.8 34.9 36.2
## [376] 39.2 25.2 37.2 48.3 43.4 30.8 20.0 25.4 25.1 24.3 22.3 32.3 43.3 32.0 31.6
## [391] 32.0 45.7 23.7 22.1 32.9 27.7 24.7 34.3 21.1 34.9 32.0 24.2 35.0 31.6 32.9
## [406] 42.1 28.9 21.9 25.9 42.4 35.7 34.4 42.4 26.2 34.6 35.7 27.2 38.5 18.2 26.4
## [421] 45.3 26.0 40.6 30.8 42.9 37.0  0.0 34.1 40.6 35.0 22.2 30.4 30.0 25.6 24.5
## [436] 42.4 37.4 29.9 18.2 36.8 34.3 32.2 33.2 30.5 29.7 59.4 25.3 36.5 33.6 30.5
## [451] 21.2 28.9 39.9 19.6 37.8 33.6 26.7 30.2 37.6 25.9 20.8 21.8 35.3 27.6 24.0
## [466] 21.8 27.8 36.8 30.0 46.1 41.3 33.2 38.8 29.9 28.9 27.3 33.7 23.8 25.9 28.0
## [481] 35.5 35.2 27.8 38.2 44.2 42.3 40.7 46.5 25.6 26.1 36.8 33.5 32.8 28.9  0.0
## [496] 26.6 26.0 30.1 25.1 29.3 25.2 37.2 39.0 33.3 37.3 33.3 36.5 28.6 30.4 25.0
## [511] 29.7 22.1 24.2 27.3 25.6 31.6 30.3 37.6 32.8 19.6 25.0 33.2  0.0 34.2 31.6
## [526] 21.8 18.2 26.3 30.8 24.6 29.8 45.3 41.3 29.8 33.3 32.9 29.6 21.7 36.3 36.4
## [541] 39.4 32.4 34.9 39.5 32.0 34.5 43.6 33.1 32.8 28.5 27.4 31.9 27.8 29.9 36.9
## [556] 25.5 38.1 27.8 46.2 30.1 33.8 41.3 37.6 26.9 32.4 26.1 38.6 32.0 31.3 34.3
## [571] 32.5 22.6 29.5 34.7 30.1 35.5 24.0 42.9 27.0 34.7 42.1 25.0 26.5 38.7 28.7
## [586] 22.5 34.9 24.3 33.3 21.1 46.8 39.4 34.4 28.5 33.6 32.0 45.3 27.8 36.8 23.1
## [601] 27.1 23.7 27.8 35.2 28.4 35.8 40.0 19.5 41.5 24.0 30.9 32.9 38.2 32.5 36.1
## [616] 25.8 28.7 20.1 28.2 32.4 38.4 24.2 40.8 43.5 30.8 37.7 24.7 32.4 34.6 24.7
## [631] 27.4 34.5 26.2 27.5 25.9 31.2 28.8 31.6 40.9 19.5 29.3 34.3 29.5 28.0 27.6
## [646] 39.4 23.4 37.8 28.3 26.4 25.2 33.8 34.1 26.8 34.2 38.7 21.8 38.9 39.0 34.2
## [661] 27.7 42.9 37.6 37.9 33.7 34.8 32.5 27.5 34.0 30.9 33.6 25.4 35.5 57.3 35.6
## [676] 30.9 24.8 35.3 36.0 24.2 24.2 49.6 44.6 32.3  0.0 33.2 23.1 28.3 24.1 46.1
## [691] 24.6 42.3 39.1 38.5 23.5 30.4 29.9 25.0 34.5 44.5 35.9 27.6 35.0 38.5 28.4
## [706] 39.8  0.0 34.4 32.8 38.0 31.2 29.6 41.2 26.4 29.5 33.9 33.8 23.1 35.5 35.6
## [721] 29.3 38.1 29.3 39.1 32.8 39.4 36.1 32.4 22.9 30.1 28.4 28.4 44.5 29.0 23.3
## [736] 35.4 27.4 32.0 36.6 39.5 42.3 30.8 28.5 32.7 40.6 30.0 49.3 46.3 36.4 24.3
## [751] 31.2 39.0 26.0 43.3 32.4 36.5 32.0 36.3 37.5 35.5 28.4 44.0 22.5 32.9 36.8
## [766] 26.2 30.1 30.4
is.numeric(diabetes$BMI)
## [1] TRUE
diabetes$BMI_cat <- cut(
  diabetes$BMI,
  breaks = c(0,25,35, 40, 70),
  labels = c("Underweight", "Normal", "Overweight", "Obese"),
  right = FALSE
)
ggplot(diabetes, aes(BMI_cat, fill = factor(Outcome))) +
  geom_bar(position = "dodge") +
  labs(title="BMI vs Diabetes Outcome",
       x="BMI category", y="Count") +
  theme_minimal()

The normal BMI group has the highest number of diabetic patients simply because they are the most common group in the dataset.

Categorizing Skin thickness into groups and visualizing against diabetes outcome.

Skin_group <- cut(
  diabetes$SkinThickness,
  breaks = c(-Inf, 10, 20, Inf),
  labels = c("Normal", "High", "Very High"),
  include.lowest = TRUE
)

ggplot(diabetes,aes(Skin_group,fill=factor(Outcome))) +
  geom_bar(position = "dodge") +
  labs(title = "Skin thickness vs Diabetes Outcome",
       x="Skin thickness", y="Count") +
  theme_minimal()

The patient with high skin thickness has the highest number of diabetes patients followed by the patient with normal skin thickness.

Categorizing Glucose level into groups and visualizing against diabetes outcome.

diabetes$Glucose_cat <- cut(diabetes$Glucose, breaks = c(0,100,125,200), 
                            labels = c("Normal","Prediabetic","Diabetic"),right = FALSE)
diabetes$Glucose_cat
##   [1] Diabetic    Normal      Diabetic    Normal      Diabetic    Prediabetic
##   [7] Normal      Prediabetic Diabetic    Diabetic    Prediabetic Diabetic   
##  [13] Diabetic    Diabetic    Diabetic    Prediabetic Prediabetic Prediabetic
##  [19] Prediabetic Prediabetic Diabetic    Normal      Diabetic    Prediabetic
##  [25] Diabetic    Diabetic    Diabetic    Normal      Diabetic    Prediabetic
##  [31] Prediabetic Diabetic    Normal      Normal      Prediabetic Prediabetic
##  [37] Diabetic    Prediabetic Normal      Prediabetic Diabetic    Diabetic   
##  [43] Prediabetic Diabetic    Diabetic    Diabetic    Diabetic    Normal     
##  [49] Prediabetic Prediabetic Prediabetic Prediabetic Normal      Diabetic   
##  [55] Diabetic    Normal      Diabetic    Prediabetic Diabetic    Prediabetic
##  [61] Normal      Diabetic    Normal      Diabetic    Prediabetic Normal     
##  [67] Prediabetic Prediabetic Normal      Diabetic    Prediabetic Diabetic   
##  [73] Diabetic    Diabetic    Normal      Normal      Normal      Normal     
##  [79] Diabetic    Prediabetic Prediabetic Normal      Normal      Prediabetic
##  [85] Diabetic    Prediabetic Prediabetic Prediabetic Diabetic    Prediabetic
##  [91] Normal      Prediabetic Normal      Diabetic    Diabetic    Diabetic   
##  [97] Normal      Normal      Normal      Prediabetic Diabetic    Diabetic   
## [103] Diabetic    Normal      Normal      Diabetic    Normal      Diabetic   
## [109] Normal      Normal      Diabetic    Diabetic    Normal      Normal     
## [115] Diabetic    Diabetic    Prediabetic Normal      Normal      Normal     
## [121] Diabetic    Prediabetic Prediabetic Diabetic    Prediabetic Normal     
## [127] Prediabetic Prediabetic Prediabetic Prediabetic Diabetic    Prediabetic
## [133] Diabetic    Normal      Normal      Diabetic    Prediabetic Normal     
## [139] Diabetic    Prediabetic Diabetic    Prediabetic Prediabetic Prediabetic
## [145] Diabetic    Prediabetic Normal      Prediabetic Diabetic    Normal     
## [151] Diabetic    Prediabetic Diabetic    Diabetic    Diabetic    Diabetic   
## [157] Normal      Prediabetic Normal      Diabetic    Diabetic    Prediabetic
## [163] Prediabetic Prediabetic Diabetic    Prediabetic Diabetic    Prediabetic
## [169] Prediabetic Prediabetic Prediabetic Diabetic    Normal      Normal     
## [175] Normal      Diabetic    Normal      Diabetic    Diabetic    Diabetic   
## [181] Normal      Prediabetic Normal      Normal      Diabetic    Diabetic   
## [187] Diabetic    Diabetic    Prediabetic Diabetic    Prediabetic Prediabetic
## [193] Diabetic    Diabetic    Normal      Diabetic    Prediabetic Prediabetic
## [199] Prediabetic Diabetic    Prediabetic Diabetic    Prediabetic Normal     
## [205] Prediabetic Prediabetic Diabetic    Diabetic    Normal      Diabetic   
## [211] Normal      Diabetic    Diabetic    Diabetic    Prediabetic Diabetic   
## [217] Prediabetic Diabetic    Normal      Prediabetic Diabetic    Diabetic   
## [223] Prediabetic Diabetic    Prediabetic Normal      Prediabetic Diabetic   
## [229] Diabetic    Prediabetic Diabetic    Diabetic    Normal      Prediabetic
## [235] Normal      Diabetic    Diabetic    Diabetic    Diabetic    Prediabetic
## [241] Normal      Normal      Diabetic    Prediabetic Diabetic    Diabetic   
## [247] Prediabetic Diabetic    Prediabetic Prediabetic Prediabetic Diabetic   
## [253] Normal      Normal      Normal      Prediabetic Prediabetic Prediabetic
## [259] Diabetic    Diabetic    Diabetic    Diabetic    Normal      Diabetic   
## [265] Prediabetic Normal      Diabetic    Diabetic    Prediabetic Diabetic   
## [271] Prediabetic Prediabetic Prediabetic Normal      Prediabetic Prediabetic
## [277] Prediabetic Prediabetic Prediabetic Prediabetic Diabetic    Diabetic   
## [283] Diabetic    Diabetic    Prediabetic Diabetic    Diabetic    Prediabetic
## [289] Normal      Prediabetic Normal      Prediabetic Diabetic    Diabetic   
## [295] Diabetic    Diabetic    Diabetic    Diabetic    Prediabetic Prediabetic
## [301] Diabetic    Diabetic    Normal      Prediabetic Diabetic    Prediabetic
## [307] Diabetic    Diabetic    Diabetic    Prediabetic Normal      Prediabetic
## [313] Diabetic    Prediabetic Prediabetic Prediabetic Normal      Diabetic   
## [319] Prediabetic Diabetic    Diabetic    Prediabetic Prediabetic Diabetic   
## [325] Prediabetic Diabetic    Prediabetic Diabetic    Prediabetic Prediabetic
## [331] Prediabetic Normal      Diabetic    Prediabetic Normal      Diabetic   
## [337] Prediabetic Prediabetic Diabetic    Diabetic    Diabetic    Normal     
## [343] Normal      Prediabetic Normal      Diabetic    Diabetic    Prediabetic
## [349] Normal      Normal      Normal      Diabetic    Normal      Normal     
## [355] Normal      Diabetic    Diabetic    Diabetic    Normal      Diabetic   
## [361] Diabetic    Diabetic    Prediabetic Diabetic    Diabetic    Normal     
## [367] Prediabetic Prediabetic Normal      Diabetic    Diabetic    Prediabetic
## [373] Normal      Prediabetic Prediabetic Diabetic    Normal      Normal     
## [379] Diabetic    Normal      Prediabetic Prediabetic Prediabetic Normal     
## [385] Diabetic    Prediabetic Prediabetic Prediabetic Diabetic    Prediabetic
## [391] Prediabetic Diabetic    Diabetic    Prediabetic Diabetic    Diabetic   
## [397] Normal      Diabetic    Normal      Diabetic    Normal      Diabetic   
## [403] Diabetic    Normal      Diabetic    Prediabetic Prediabetic Prediabetic
## [409] Diabetic    Diabetic    Prediabetic Prediabetic Diabetic    Diabetic   
## [415] Diabetic    Diabetic    Normal      Diabetic    Normal      Diabetic   
## [421] Prediabetic Normal      Prediabetic Prediabetic Diabetic    Diabetic   
## [427] Normal      Diabetic    Diabetic    Normal      Normal      Normal     
## [433] Normal      Diabetic    Normal      Diabetic    Diabetic    Diabetic   
## [439] Normal      Prediabetic Diabetic    Normal      Prediabetic Prediabetic
## [445] Prediabetic Diabetic    Prediabetic Normal      Prediabetic Prediabetic
## [451] Normal      Diabetic    Normal      Prediabetic Prediabetic Diabetic   
## [457] Diabetic    Normal      Diabetic    Diabetic    Prediabetic Normal     
## [463] Normal      Normal      Prediabetic Prediabetic Normal      Normal     
## [469] Prediabetic Diabetic    Diabetic    Diabetic    Prediabetic Diabetic   
## [475] Prediabetic Diabetic    Prediabetic Prediabetic Diabetic    Diabetic   
## [481] Diabetic    Prediabetic Normal      Normal      Diabetic    Diabetic   
## [487] Diabetic    Diabetic    Normal      Diabetic    Normal      Normal     
## [493] Normal      Diabetic    Normal      Diabetic    Prediabetic Normal     
## [499] Diabetic    Diabetic    Prediabetic Normal      Normal      Normal     
## [505] Normal      Normal      Diabetic    Diabetic    Normal      Prediabetic
## [511] Normal      Diabetic    Normal      Normal      Normal      Diabetic   
## [517] Diabetic    Diabetic    Normal      Diabetic    Normal      Prediabetic
## [523] Prediabetic Diabetic    Diabetic    Normal      Normal      Prediabetic
## [529] Prediabetic Prediabetic Prediabetic Prediabetic Normal      Normal     
## [535] Normal      Diabetic    Prediabetic Normal      Diabetic    Diabetic   
## [541] Prediabetic Diabetic    Normal      Normal      Normal      Diabetic   
## [547] Diabetic    Diabetic    Diabetic    Diabetic    Prediabetic Normal     
## [553] Prediabetic Normal      Normal      Prediabetic Normal      Prediabetic
## [559] Prediabetic Normal      Diabetic    Diabetic    Normal      Normal     
## [565] Normal      Normal      Normal      Normal      Diabetic    Prediabetic
## [571] Normal      Diabetic    Prediabetic Normal      Diabetic    Prediabetic
## [577] Prediabetic Prediabetic Diabetic    Diabetic    Diabetic    Prediabetic
## [583] Prediabetic Prediabetic Prediabetic Normal      Diabetic    Prediabetic
## [589] Diabetic    Normal      Prediabetic Prediabetic Diabetic    Normal     
## [595] Prediabetic Diabetic    Normal      Normal      Diabetic    Prediabetic
## [601] Prediabetic Normal      Prediabetic Diabetic    Diabetic    Prediabetic
## [607] Diabetic    Normal      Diabetic    Prediabetic Prediabetic Diabetic   
## [613] Diabetic    Prediabetic Diabetic    Prediabetic Prediabetic Normal     
## [619] Prediabetic Prediabetic Prediabetic Normal      Diabetic    Normal     
## [625] Prediabetic Normal      Diabetic    Diabetic    Diabetic    Normal     
## [631] Prediabetic Prediabetic Prediabetic Diabetic    Normal      Prediabetic
## [637] Prediabetic Normal      Normal      Prediabetic Prediabetic Diabetic   
## [643] Diabetic    Normal      Prediabetic Diabetic    Diabetic    Diabetic   
## [649] Diabetic    Prediabetic Normal      Prediabetic Prediabetic Prediabetic
## [655] Prediabetic Diabetic    Prediabetic Prediabetic Diabetic    Normal     
## [661] Diabetic    Diabetic    Diabetic    Diabetic    Prediabetic Prediabetic
## [667] Diabetic    Prediabetic Normal      Diabetic    Diabetic    Normal     
## [673] Normal      Prediabetic Normal      Diabetic    Diabetic    Normal     
## [679] Prediabetic Prediabetic Normal      Diabetic    Normal      Diabetic   
## [685] Diabetic    Diabetic    Diabetic    Prediabetic Diabetic    Diabetic   
## [691] Prediabetic Diabetic    Prediabetic Diabetic    Normal      Diabetic   
## [697] Diabetic    Normal      Diabetic    Prediabetic Prediabetic Diabetic   
## [703] Diabetic    Diabetic    Prediabetic Normal      Prediabetic Diabetic   
## [709] Diabetic    Normal      Diabetic    Diabetic    Diabetic    Diabetic   
## [715] Prediabetic Diabetic    Diabetic    Normal      Prediabetic Normal     
## [721] Normal      Prediabetic Diabetic    Prediabetic Prediabetic Prediabetic
## [727] Prediabetic Diabetic    Diabetic    Normal      Diabetic    Prediabetic
## [733] Diabetic    Prediabetic Prediabetic Normal      Diabetic    Normal     
## [739] Normal      Prediabetic Prediabetic Prediabetic Prediabetic Diabetic   
## [745] Diabetic    Prediabetic Diabetic    Normal      Diabetic    Diabetic   
## [751] Diabetic    Prediabetic Prediabetic Diabetic    Diabetic    Diabetic   
## [757] Diabetic    Prediabetic Prediabetic Diabetic    Normal      Diabetic   
## [763] Normal      Prediabetic Prediabetic Prediabetic Diabetic    Normal     
## Levels: Normal Prediabetic Diabetic
ggplot(diabetes,aes(Glucose_cat,fill=factor(Outcome))) +
  geom_bar(position="dodge") +
  labs(title="Glucose level vs Diabetes Outcome",
       x="Glucose category", y="Count") +
  theme_minimal()

As glucose levels rise, there is likelihood for the patient to be diabetic.

Categorizing Blood Pressure into Groups and visualizing against diabetes outcome.

diabetes$BloodPressure_cat <- cut(diabetes$BloodPressure,    breaks = c(-Inf, 79, 89, Inf),  
  labels = c("Normal", "Prehypertension", "Hypertension"),
                                  right = TRUE
)
table(diabetes$BloodPressure)
## 
##   0  24  30  38  40  44  46  48  50  52  54  55  56  58  60  61  62  64  65  66 
##  35   1   2   1   1   4   2   5  13  11  11   2  12  21  37   1  34  43   7  30 
##  68  70  72  74  75  76  78  80  82  84  85  86  88  90  92  94  95  96  98 100 
##  45  57  44  52   8  39  45  40  30  23   6  21  25  22   8   6   1   4   3   3 
## 102 104 106 108 110 114 122 
##   1   2   3   2   3   1   1
ggplot(diabetes,aes(BloodPressure_cat,fill=factor(Outcome))) +
  geom_bar(position="dodge") +
  labs(title="Blood Pressure vs Diabetes Outcome",
       x="Blood Pressure", y="Count") +
  theme_minimal()

Even though high blood pressure can increase the risk of diabetes, most people in the dataset have normal blood pressure. That’s why the largest number of diabetes cases is seen in the normal BP group.

Categorizing and visualizing for insulin levels

diabetes$Insulin[diabetes$Insulin > 300] <- 300
diabetes[is.na(diabetes)] <- 0
diabetes$Insulin_cat <- cut(
  diabetes$Insulin,
 breaks = c(-Inf, 25, 100, 300, Inf),
  labels = c("Low", "Normal", "High", "Extremely High"),
  right = TRUE,
  include.lowest = TRUE

)
table(diabetes$Diabetes, diabetes$Insulin_cat)
##        
##         Low Normal High Extremely High
##   0.078   1      0    0              0
##   0.084   1      0    0              0
##   0.085   1      0    1              0
##   0.088   1      0    1              0
##   0.089   0      1    0              0
##   0.092   1      0    0              0
##   0.096   1      0    0              0
##   0.1     1      0    0              0
##   0.101   0      1    0              0
##   0.102   1      0    0              0
##   0.107   0      0    1              0
##   0.108   1      0    0              0
##   0.115   0      0    1              0
##   0.118   0      1    0              0
##   0.121   2      0    0              0
##   0.122   0      1    0              0
##   0.123   0      0    1              0
##   0.126   2      0    0              0
##   0.127   1      0    1              0
##   0.128   0      1    1              0
##   0.129   2      0    0              0
##   0.13    1      0    0              0
##   0.133   1      0    0              0
##   0.134   1      0    1              0
##   0.135   1      0    0              0
##   0.136   1      0    0              0
##   0.137   2      0    0              0
##   0.138   0      0    1              0
##   0.14    2      0    0              0
##   0.141   3      0    0              0
##   0.142   2      0    1              0
##   0.143   1      0    1              0
##   0.144   1      0    0              0
##   0.145   1      0    0              0
##   0.147   1      0    0              0
##   0.148   3      0    0              0
##   0.149   0      1    0              0
##   0.15    0      0    2              0
##   0.151   3      0    0              0
##   0.153   1      0    1              0
##   0.154   0      1    0              0
##   0.155   0      1    0              0
##   0.156   0      1    0              0
##   0.157   1      0    0              0
##   0.158   1      0    1              0
##   0.159   0      1    1              0
##   0.16    0      0    1              0
##   0.161   1      0    1              0
##   0.162   0      1    0              0
##   0.163   0      0    1              0
##   0.164   1      1    0              0
##   0.165   2      0    1              0
##   0.166   0      1    0              0
##   0.167   2      1    1              0
##   0.17    1      0    0              0
##   0.171   0      0    1              0
##   0.173   0      0    1              0
##   0.174   1      0    0              0
##   0.175   0      0    1              0
##   0.176   0      0    1              0
##   0.177   1      0    0              0
##   0.178   3      0    0              0
##   0.179   1      0    0              0
##   0.18    2      0    0              0
##   0.181   1      0    0              0
##   0.182   1      0    0              0
##   0.183   1      1    0              0
##   0.186   1      0    0              0
##   0.187   2      1    0              0
##   0.188   1      0    0              0
##   0.189   1      1    0              0
##   0.19    4      0    0              0
##   0.191   2      0    0              0
##   0.192   1      1    0              0
##   0.194   1      0    0              0
##   0.196   1      0    0              0
##   0.197   4      0    0              0
##   0.198   1      0    1              0
##   0.199   0      0    1              0
##   0.2     3      0    0              0
##   0.201   1      0    0              0
##   0.203   1      0    1              0
##   0.204   1      0    1              0
##   0.205   1      1    1              0
##   0.206   2      0    0              0
##   0.207   4      0    1              0
##   0.209   2      0    0              0
##   0.21    1      0    0              0
##   0.212   2      0    0              0
##   0.215   0      0    1              0
##   0.217   0      0    1              0
##   0.218   2      0    0              0
##   0.219   0      0    2              0
##   0.22    1      0    0              0
##   0.221   0      0    1              0
##   0.222   0      0    1              0
##   0.223   1      1    0              0
##   0.225   0      1    0              0
##   0.226   1      0    0              0
##   0.227   1      0    0              0
##   0.229   0      1    0              0
##   0.23    1      0    1              0
##   0.231   1      0    1              0
##   0.232   1      0    0              0
##   0.233   0      0    2              0
##   0.234   0      1    1              0
##   0.235   2      1    0              0
##   0.236   3      0    0              0
##   0.237   3      0    1              0
##   0.238   3      1    1              0
##   0.239   1      0    0              0
##   0.24    1      0    1              0
##   0.241   1      0    0              0
##   0.243   1      0    0              0
##   0.244   2      0    0              0
##   0.245   2      0    2              0
##   0.246   0      0    1              0
##   0.247   1      1    0              0
##   0.248   1      1    0              0
##   0.249   1      1    0              0
##   0.251   1      0    1              0
##   0.252   2      0    0              0
##   0.253   1      0    0              0
##   0.254   4      0    2              0
##   0.255   0      0    1              0
##   0.256   2      1    0              0
##   0.257   3      0    0              0
##   0.258   5      0    1              0
##   0.259   4      0    1              0
##   0.26    1      1    2              0
##   0.261   2      3    0              0
##   0.262   1      0    1              0
##   0.263   3      1    0              0
##   0.264   0      0    1              0
##   0.265   1      0    0              0
##   0.267   1      1    0              0
##   0.268   3      0    2              0
##   0.269   0      2    0              0
##   0.27    3      0    1              0
##   0.271   0      1    0              0
##   0.272   1      0    0              0
##   0.277   1      0    0              0
##   0.278   2      0    0              0
##   0.279   0      1    0              0
##   0.28    1      1    1              0
##   0.282   1      0    1              0
##   0.283   0      1    0              0
##   0.284   2      1    1              0
##   0.285   0      2    0              0
##   0.286   1      1    0              0
##   0.287   0      0    1              0
##   0.289   0      1    1              0
##   0.29    2      0    0              0
##   0.292   2      0    1              0
##   0.293   1      1    0              0
##   0.294   3      0    0              0
##   0.295   0      0    1              0
##   0.296   1      0    0              0
##   0.297   1      0    0              0
##   0.299   1      2    1              0
##   0.3     1      0    0              0
##   0.302   2      0    0              0
##   0.303   1      0    0              0
##   0.304   4      0    0              0
##   0.305   2      0    1              0
##   0.306   0      2    0              0
##   0.307   1      0    0              0
##   0.313   1      1    0              0
##   0.314   1      1    0              0
##   0.315   1      1    0              0
##   0.317   1      0    0              0
##   0.318   0      1    0              0
##   0.319   0      0    1              0
##   0.323   0      2    0              0
##   0.324   0      1    1              0
##   0.325   0      0    1              0
##   0.326   1      0    1              0
##   0.328   1      0    1              0
##   0.329   0      0    1              0
##   0.33    0      1    0              0
##   0.331   1      0    0              0
##   0.332   0      1    0              0
##   0.334   1      1    0              0
##   0.335   0      0    1              0
##   0.336   2      0    0              0
##   0.337   2      0    1              0
##   0.338   0      0    1              0
##   0.34    2      1    0              0
##   0.341   0      1    0              0
##   0.342   2      0    0              0
##   0.343   2      0    0              0
##   0.344   1      0    1              0
##   0.345   1      0    0              0
##   0.346   1      0    0              0
##   0.347   0      0    1              0
##   0.349   1      0    2              0
##   0.351   1      0    0              0
##   0.352   0      0    1              0
##   0.355   1      0    0              0
##   0.356   0      1    1              0
##   0.358   1      0    0              0
##   0.361   0      0    2              0
##   0.362   0      1    0              0
##   0.364   1      1    0              0
##   0.365   0      1    1              0
##   0.366   0      0    1              0
##   0.368   2      0    0              0
##   0.37    1      1    0              0
##   0.371   1      0    0              0
##   0.374   0      1    0              0
##   0.375   1      0    0              0
##   0.376   1      0    0              0
##   0.378   1      1    0              0
##   0.38    2      0    0              0
##   0.381   0      0    1              0
##   0.382   1      0    0              0
##   0.383   1      0    0              0
##   0.385   0      0    1              0
##   0.388   1      0    0              0
##   0.389   2      0    1              0
##   0.391   3      0    0              0
##   0.393   1      0    0              0
##   0.394   1      0    0              0
##   0.395   0      0    1              0
##   0.396   1      0    0              0
##   0.398   0      0    1              0
##   0.399   0      0    1              0
##   0.4     1      1    0              0
##   0.401   0      1    0              0
##   0.402   2      0    0              0
##   0.403   1      0    1              0
##   0.404   0      1    0              0
##   0.407   1      0    1              0
##   0.408   0      0    1              0
##   0.409   1      0    0              0
##   0.411   0      0    1              0
##   0.412   1      0    1              0
##   0.415   0      1    1              0
##   0.416   1      0    0              0
##   0.417   1      0    0              0
##   0.419   1      0    0              0
##   0.42    1      0    0              0
##   0.421   1      0    0              0
##   0.422   0      2    1              0
##   0.423   0      0    1              0
##   0.426   0      0    1              0
##   0.427   0      0    1              0
##   0.43    0      1    1              0
##   0.431   0      0    1              0
##   0.432   1      0    0              0
##   0.433   1      1    0              0
##   0.434   1      1    0              0
##   0.435   1      0    0              0
##   0.439   1      0    1              0
##   0.441   1      0    0              0
##   0.443   2      0    1              0
##   0.444   1      0    1              0
##   0.446   0      1    0              0
##   0.447   0      0    1              0
##   0.451   1      0    0              0
##   0.452   0      0    3              0
##   0.453   0      0    1              0
##   0.454   0      0    1              0
##   0.455   1      0    1              0
##   0.457   1      0    0              0
##   0.46    0      1    0              0
##   0.463   0      1    0              0
##   0.464   0      0    1              0
##   0.465   1      0    0              0
##   0.466   0      0    2              0
##   0.467   0      0    1              0
##   0.471   1      0    1              0
##   0.472   0      0    1              0
##   0.479   1      0    0              0
##   0.482   0      1    0              0
##   0.483   0      0    1              0
##   0.484   1      0    0              0
##   0.485   1      0    0              0
##   0.487   0      0    1              0
##   0.488   0      0    1              0
##   0.491   0      1    0              0
##   0.493   0      0    1              0
##   0.495   0      1    0              0
##   0.496   0      2    1              0
##   0.497   0      2    0              0
##   0.498   0      0    1              0
##   0.499   0      1    0              0
##   0.501   1      0    0              0
##   0.502   0      0    1              0
##   0.503   1      0    0              0
##   0.507   0      0    1              0
##   0.509   0      1    0              0
##   0.51    0      1    0              0
##   0.512   1      0    0              0
##   0.514   1      0    1              0
##   0.515   0      0    1              0
##   0.516   0      0    1              0
##   0.52    1      0    2              0
##   0.525   1      0    0              0
##   0.526   0      1    0              0
##   0.527   0      1    1              0
##   0.528   0      0    2              0
##   0.529   0      1    0              0
##   0.532   0      1    0              0
##   0.534   0      0    1              0
##   0.536   1      0    1              0
##   0.537   1      0    0              0
##   0.539   1      0    0              0
##   0.542   1      0    1              0
##   0.543   1      0    1              0
##   0.545   0      1    0              0
##   0.546   1      0    0              0
##   0.547   0      1    0              0
##   0.549   0      0    1              0
##   0.551   2      1    1              0
##   0.554   1      0    0              0
##   0.557   1      0    1              0
##   0.559   2      0    0              0
##   0.56    1      0    0              0
##   0.561   0      1    0              0
##   0.564   1      0    0              0
##   0.565   1      0    0              0
##   0.569   1      0    0              0
##   0.571   0      0    1              0
##   0.572   1      0    0              0
##   0.575   1      0    0              0
##   0.578   1      0    0              0
##   0.58    0      1    0              0
##   0.582   1      0    1              0
##   0.583   1      1    1              0
##   0.586   1      0    1              0
##   0.587   2      0    1              0
##   0.588   0      0    1              0
##   0.591   0      0    2              0
##   0.593   0      0    1              0
##   0.595   1      0    0              0
##   0.597   0      1    0              0
##   0.598   0      0    1              0
##   0.6     1      1    0              0
##   0.601   1      0    0              0
##   0.605   0      0    2              0
##   0.607   1      0    0              0
##   0.61    1      0    0              0
##   0.612   1      0    0              0
##   0.613   0      0    1              0
##   0.614   0      0    1              0
##   0.615   0      0    1              0
##   0.619   0      0    1              0
##   0.624   1      0    0              0
##   0.626   0      1    0              0
##   0.627   1      0    0              0
##   0.629   0      1    0              0
##   0.63    1      0    0              0
##   0.631   0      0    1              0
##   0.637   0      1    1              0
##   0.64    1      0    1              0
##   0.645   1      0    0              0
##   0.646   0      0    1              0
##   0.647   0      1    1              0
##   0.649   0      1    0              0
##   0.652   2      0    0              0
##   0.654   1      1    0              0
##   0.655   0      0    1              0
##   0.658   0      1    0              0
##   0.66    2      0    0              0
##   0.661   0      0    1              0
##   0.665   1      0    0              0
##   0.666   0      1    0              0
##   0.672   1      0    0              0
##   0.673   0      1    0              0
##   0.674   1      0    1              0
##   0.677   0      1    0              0
##   0.678   0      2    0              0
##   0.68    1      0    0              0
##   0.682   0      0    1              0
##   0.686   2      0    0              0
##   0.687   1      0    3              0
##   0.692   0      0    4              0
##   0.693   1      0    0              0
##   0.695   0      0    1              0
##   0.696   1      0    0              0
##   0.698   0      0    1              0
##   0.699   0      0    1              0
##   0.702   0      0    1              0
##   0.703   1      0    0              0
##   0.704   0      0    1              0
##   0.705   0      1    0              0
##   0.709   1      0    0              0
##   0.711   0      0    1              0
##   0.717   0      0    1              0
##   0.718   0      0    1              0
##   0.719   0      0    1              0
##   0.721   0      0    1              0
##   0.722   0      0    1              0
##   0.725   0      1    0              0
##   0.727   2      0    0              0
##   0.73    0      0    1              0
##   0.731   0      1    0              0
##   0.732   1      0    0              0
##   0.733   0      1    1              0
##   0.734   1      0    0              0
##   0.735   1      0    0              0
##   0.738   0      1    0              0
##   0.741   1      0    0              0
##   0.742   0      0    1              0
##   0.743   1      0    0              0
##   0.744   1      0    0              0
##   0.745   1      0    0              0
##   0.748   0      1    0              0
##   0.757   0      1    0              0
##   0.759   0      1    0              0
##   0.761   1      1    0              0
##   0.766   1      0    0              0
##   0.767   0      1    0              0
##   0.771   0      0    1              0
##   0.773   1      0    0              0
##   0.785   0      0    1              0
##   0.787   1      0    1              0
##   0.801   0      0    1              0
##   0.803   1      0    0              0
##   0.804   0      0    1              0
##   0.805   1      0    0              0
##   0.808   0      0    1              0
##   0.813   0      0    1              0
##   0.816   0      0    1              0
##   0.817   0      0    1              0
##   0.821   0      1    0              0
##   0.825   1      0    0              0
##   0.826   0      0    1              0
##   0.828   0      0    1              0
##   0.831   1      0    0              0
##   0.832   1      0    0              0
##   0.833   0      0    1              0
##   0.839   1      0    1              0
##   0.84    1      0    0              0
##   0.845   1      0    0              0
##   0.851   0      0    1              0
##   0.855   1      0    0              0
##   0.856   1      0    0              0
##   0.867   0      1    0              0
##   0.871   0      1    0              0
##   0.874   1      0    0              0
##   0.875   0      0    2              0
##   0.878   1      0    0              0
##   0.88    0      0    1              0
##   0.881   0      0    1              0
##   0.886   0      1    0              0
##   0.892   0      0    1              0
##   0.893   0      0    1              0
##   0.904   1      0    0              0
##   0.905   1      1    0              0
##   0.917   0      1    0              0
##   0.925   1      0    0              0
##   0.926   0      0    1              0
##   0.93    1      0    0              0
##   0.932   1      0    0              0
##   0.933   1      0    0              0
##   0.944   0      0    1              0
##   0.947   0      0    1              0
##   0.949   0      1    0              0
##   0.955   1      0    0              0
##   0.956   1      0    0              0
##   0.962   0      0    2              0
##   0.966   0      0    1              0
##   0.968   0      1    1              0
##   0.97    0      0    1              0
##   0.997   0      1    0              0
##   1.001   0      0    1              0
##   1.021   0      1    0              0
##   1.022   1      0    0              0
##   1.034   0      0    1              0
##   1.057   0      0    1              0
##   1.072   0      0    1              0
##   1.076   0      0    1              0
##   1.095   1      0    0              0
##   1.096   0      1    0              0
##   1.101   1      0    0              0
##   1.114   1      0    0              0
##   1.127   1      0    0              0
##   1.136   1      0    0              0
##   1.138   1      0    0              0
##   1.144   0      0    1              0
##   1.154   0      0    1              0
##   1.159   0      0    1              0
##   1.162   0      0    1              0
##   1.174   0      0    1              0
##   1.182   1      0    0              0
##   1.189   0      0    1              0
##   1.191   1      0    0              0
##   1.213   1      0    0              0
##   1.222   1      0    0              0
##   1.224   1      0    1              0
##   1.251   0      1    0              0
##   1.258   0      0    1              0
##   1.268   0      1    0              0
##   1.282   1      0    0              0
##   1.292   0      1    0              0
##   1.318   0      0    1              0
##   1.321   0      1    0              0
##   1.353   0      0    1              0
##   1.39    0      0    1              0
##   1.391   0      0    1              0
##   1.394   1      0    0              0
##   1.4     0      0    1              0
##   1.441   1      0    0              0
##   1.461   1      0    0              0
##   1.476   1      0    0              0
##   1.6     0      0    1              0
##   1.698   1      0    0              0
##   1.699   0      0    1              0
##   1.731   0      1    0              0
##   1.781   1      0    0              0
##   1.893   1      0    0              0
##   2.137   0      0    1              0
##   2.288   0      0    1              0
##   2.329   0      0    1              0
##   2.42    1      0    0              0
prop.table(table(diabetes$Diabetes, diabetes$Insulin_cat), margin=2)
##        
##                 Low      Normal        High Extremely High
##   0.078 0.002610966 0.000000000 0.000000000               
##   0.084 0.002610966 0.000000000 0.000000000               
##   0.085 0.002610966 0.000000000 0.004115226               
##   0.088 0.002610966 0.000000000 0.004115226               
##   0.089 0.000000000 0.007042254 0.000000000               
##   0.092 0.002610966 0.000000000 0.000000000               
##   0.096 0.002610966 0.000000000 0.000000000               
##   0.1   0.002610966 0.000000000 0.000000000               
##   0.101 0.000000000 0.007042254 0.000000000               
##   0.102 0.002610966 0.000000000 0.000000000               
##   0.107 0.000000000 0.000000000 0.004115226               
##   0.108 0.002610966 0.000000000 0.000000000               
##   0.115 0.000000000 0.000000000 0.004115226               
##   0.118 0.000000000 0.007042254 0.000000000               
##   0.121 0.005221932 0.000000000 0.000000000               
##   0.122 0.000000000 0.007042254 0.000000000               
##   0.123 0.000000000 0.000000000 0.004115226               
##   0.126 0.005221932 0.000000000 0.000000000               
##   0.127 0.002610966 0.000000000 0.004115226               
##   0.128 0.000000000 0.007042254 0.004115226               
##   0.129 0.005221932 0.000000000 0.000000000               
##   0.13  0.002610966 0.000000000 0.000000000               
##   0.133 0.002610966 0.000000000 0.000000000               
##   0.134 0.002610966 0.000000000 0.004115226               
##   0.135 0.002610966 0.000000000 0.000000000               
##   0.136 0.002610966 0.000000000 0.000000000               
##   0.137 0.005221932 0.000000000 0.000000000               
##   0.138 0.000000000 0.000000000 0.004115226               
##   0.14  0.005221932 0.000000000 0.000000000               
##   0.141 0.007832898 0.000000000 0.000000000               
##   0.142 0.005221932 0.000000000 0.004115226               
##   0.143 0.002610966 0.000000000 0.004115226               
##   0.144 0.002610966 0.000000000 0.000000000               
##   0.145 0.002610966 0.000000000 0.000000000               
##   0.147 0.002610966 0.000000000 0.000000000               
##   0.148 0.007832898 0.000000000 0.000000000               
##   0.149 0.000000000 0.007042254 0.000000000               
##   0.15  0.000000000 0.000000000 0.008230453               
##   0.151 0.007832898 0.000000000 0.000000000               
##   0.153 0.002610966 0.000000000 0.004115226               
##   0.154 0.000000000 0.007042254 0.000000000               
##   0.155 0.000000000 0.007042254 0.000000000               
##   0.156 0.000000000 0.007042254 0.000000000               
##   0.157 0.002610966 0.000000000 0.000000000               
##   0.158 0.002610966 0.000000000 0.004115226               
##   0.159 0.000000000 0.007042254 0.004115226               
##   0.16  0.000000000 0.000000000 0.004115226               
##   0.161 0.002610966 0.000000000 0.004115226               
##   0.162 0.000000000 0.007042254 0.000000000               
##   0.163 0.000000000 0.000000000 0.004115226               
##   0.164 0.002610966 0.007042254 0.000000000               
##   0.165 0.005221932 0.000000000 0.004115226               
##   0.166 0.000000000 0.007042254 0.000000000               
##   0.167 0.005221932 0.007042254 0.004115226               
##   0.17  0.002610966 0.000000000 0.000000000               
##   0.171 0.000000000 0.000000000 0.004115226               
##   0.173 0.000000000 0.000000000 0.004115226               
##   0.174 0.002610966 0.000000000 0.000000000               
##   0.175 0.000000000 0.000000000 0.004115226               
##   0.176 0.000000000 0.000000000 0.004115226               
##   0.177 0.002610966 0.000000000 0.000000000               
##   0.178 0.007832898 0.000000000 0.000000000               
##   0.179 0.002610966 0.000000000 0.000000000               
##   0.18  0.005221932 0.000000000 0.000000000               
##   0.181 0.002610966 0.000000000 0.000000000               
##   0.182 0.002610966 0.000000000 0.000000000               
##   0.183 0.002610966 0.007042254 0.000000000               
##   0.186 0.002610966 0.000000000 0.000000000               
##   0.187 0.005221932 0.007042254 0.000000000               
##   0.188 0.002610966 0.000000000 0.000000000               
##   0.189 0.002610966 0.007042254 0.000000000               
##   0.19  0.010443864 0.000000000 0.000000000               
##   0.191 0.005221932 0.000000000 0.000000000               
##   0.192 0.002610966 0.007042254 0.000000000               
##   0.194 0.002610966 0.000000000 0.000000000               
##   0.196 0.002610966 0.000000000 0.000000000               
##   0.197 0.010443864 0.000000000 0.000000000               
##   0.198 0.002610966 0.000000000 0.004115226               
##   0.199 0.000000000 0.000000000 0.004115226               
##   0.2   0.007832898 0.000000000 0.000000000               
##   0.201 0.002610966 0.000000000 0.000000000               
##   0.203 0.002610966 0.000000000 0.004115226               
##   0.204 0.002610966 0.000000000 0.004115226               
##   0.205 0.002610966 0.007042254 0.004115226               
##   0.206 0.005221932 0.000000000 0.000000000               
##   0.207 0.010443864 0.000000000 0.004115226               
##   0.209 0.005221932 0.000000000 0.000000000               
##   0.21  0.002610966 0.000000000 0.000000000               
##   0.212 0.005221932 0.000000000 0.000000000               
##   0.215 0.000000000 0.000000000 0.004115226               
##   0.217 0.000000000 0.000000000 0.004115226               
##   0.218 0.005221932 0.000000000 0.000000000               
##   0.219 0.000000000 0.000000000 0.008230453               
##   0.22  0.002610966 0.000000000 0.000000000               
##   0.221 0.000000000 0.000000000 0.004115226               
##   0.222 0.000000000 0.000000000 0.004115226               
##   0.223 0.002610966 0.007042254 0.000000000               
##   0.225 0.000000000 0.007042254 0.000000000               
##   0.226 0.002610966 0.000000000 0.000000000               
##   0.227 0.002610966 0.000000000 0.000000000               
##   0.229 0.000000000 0.007042254 0.000000000               
##   0.23  0.002610966 0.000000000 0.004115226               
##   0.231 0.002610966 0.000000000 0.004115226               
##   0.232 0.002610966 0.000000000 0.000000000               
##   0.233 0.000000000 0.000000000 0.008230453               
##   0.234 0.000000000 0.007042254 0.004115226               
##   0.235 0.005221932 0.007042254 0.000000000               
##   0.236 0.007832898 0.000000000 0.000000000               
##   0.237 0.007832898 0.000000000 0.004115226               
##   0.238 0.007832898 0.007042254 0.004115226               
##   0.239 0.002610966 0.000000000 0.000000000               
##   0.24  0.002610966 0.000000000 0.004115226               
##   0.241 0.002610966 0.000000000 0.000000000               
##   0.243 0.002610966 0.000000000 0.000000000               
##   0.244 0.005221932 0.000000000 0.000000000               
##   0.245 0.005221932 0.000000000 0.008230453               
##   0.246 0.000000000 0.000000000 0.004115226               
##   0.247 0.002610966 0.007042254 0.000000000               
##   0.248 0.002610966 0.007042254 0.000000000               
##   0.249 0.002610966 0.007042254 0.000000000               
##   0.251 0.002610966 0.000000000 0.004115226               
##   0.252 0.005221932 0.000000000 0.000000000               
##   0.253 0.002610966 0.000000000 0.000000000               
##   0.254 0.010443864 0.000000000 0.008230453               
##   0.255 0.000000000 0.000000000 0.004115226               
##   0.256 0.005221932 0.007042254 0.000000000               
##   0.257 0.007832898 0.000000000 0.000000000               
##   0.258 0.013054830 0.000000000 0.004115226               
##   0.259 0.010443864 0.000000000 0.004115226               
##   0.26  0.002610966 0.007042254 0.008230453               
##   0.261 0.005221932 0.021126761 0.000000000               
##   0.262 0.002610966 0.000000000 0.004115226               
##   0.263 0.007832898 0.007042254 0.000000000               
##   0.264 0.000000000 0.000000000 0.004115226               
##   0.265 0.002610966 0.000000000 0.000000000               
##   0.267 0.002610966 0.007042254 0.000000000               
##   0.268 0.007832898 0.000000000 0.008230453               
##   0.269 0.000000000 0.014084507 0.000000000               
##   0.27  0.007832898 0.000000000 0.004115226               
##   0.271 0.000000000 0.007042254 0.000000000               
##   0.272 0.002610966 0.000000000 0.000000000               
##   0.277 0.002610966 0.000000000 0.000000000               
##   0.278 0.005221932 0.000000000 0.000000000               
##   0.279 0.000000000 0.007042254 0.000000000               
##   0.28  0.002610966 0.007042254 0.004115226               
##   0.282 0.002610966 0.000000000 0.004115226               
##   0.283 0.000000000 0.007042254 0.000000000               
##   0.284 0.005221932 0.007042254 0.004115226               
##   0.285 0.000000000 0.014084507 0.000000000               
##   0.286 0.002610966 0.007042254 0.000000000               
##   0.287 0.000000000 0.000000000 0.004115226               
##   0.289 0.000000000 0.007042254 0.004115226               
##   0.29  0.005221932 0.000000000 0.000000000               
##   0.292 0.005221932 0.000000000 0.004115226               
##   0.293 0.002610966 0.007042254 0.000000000               
##   0.294 0.007832898 0.000000000 0.000000000               
##   0.295 0.000000000 0.000000000 0.004115226               
##   0.296 0.002610966 0.000000000 0.000000000               
##   0.297 0.002610966 0.000000000 0.000000000               
##   0.299 0.002610966 0.014084507 0.004115226               
##   0.3   0.002610966 0.000000000 0.000000000               
##   0.302 0.005221932 0.000000000 0.000000000               
##   0.303 0.002610966 0.000000000 0.000000000               
##   0.304 0.010443864 0.000000000 0.000000000               
##   0.305 0.005221932 0.000000000 0.004115226               
##   0.306 0.000000000 0.014084507 0.000000000               
##   0.307 0.002610966 0.000000000 0.000000000               
##   0.313 0.002610966 0.007042254 0.000000000               
##   0.314 0.002610966 0.007042254 0.000000000               
##   0.315 0.002610966 0.007042254 0.000000000               
##   0.317 0.002610966 0.000000000 0.000000000               
##   0.318 0.000000000 0.007042254 0.000000000               
##   0.319 0.000000000 0.000000000 0.004115226               
##   0.323 0.000000000 0.014084507 0.000000000               
##   0.324 0.000000000 0.007042254 0.004115226               
##   0.325 0.000000000 0.000000000 0.004115226               
##   0.326 0.002610966 0.000000000 0.004115226               
##   0.328 0.002610966 0.000000000 0.004115226               
##   0.329 0.000000000 0.000000000 0.004115226               
##   0.33  0.000000000 0.007042254 0.000000000               
##   0.331 0.002610966 0.000000000 0.000000000               
##   0.332 0.000000000 0.007042254 0.000000000               
##   0.334 0.002610966 0.007042254 0.000000000               
##   0.335 0.000000000 0.000000000 0.004115226               
##   0.336 0.005221932 0.000000000 0.000000000               
##   0.337 0.005221932 0.000000000 0.004115226               
##   0.338 0.000000000 0.000000000 0.004115226               
##   0.34  0.005221932 0.007042254 0.000000000               
##   0.341 0.000000000 0.007042254 0.000000000               
##   0.342 0.005221932 0.000000000 0.000000000               
##   0.343 0.005221932 0.000000000 0.000000000               
##   0.344 0.002610966 0.000000000 0.004115226               
##   0.345 0.002610966 0.000000000 0.000000000               
##   0.346 0.002610966 0.000000000 0.000000000               
##   0.347 0.000000000 0.000000000 0.004115226               
##   0.349 0.002610966 0.000000000 0.008230453               
##   0.351 0.002610966 0.000000000 0.000000000               
##   0.352 0.000000000 0.000000000 0.004115226               
##   0.355 0.002610966 0.000000000 0.000000000               
##   0.356 0.000000000 0.007042254 0.004115226               
##   0.358 0.002610966 0.000000000 0.000000000               
##   0.361 0.000000000 0.000000000 0.008230453               
##   0.362 0.000000000 0.007042254 0.000000000               
##   0.364 0.002610966 0.007042254 0.000000000               
##   0.365 0.000000000 0.007042254 0.004115226               
##   0.366 0.000000000 0.000000000 0.004115226               
##   0.368 0.005221932 0.000000000 0.000000000               
##   0.37  0.002610966 0.007042254 0.000000000               
##   0.371 0.002610966 0.000000000 0.000000000               
##   0.374 0.000000000 0.007042254 0.000000000               
##   0.375 0.002610966 0.000000000 0.000000000               
##   0.376 0.002610966 0.000000000 0.000000000               
##   0.378 0.002610966 0.007042254 0.000000000               
##   0.38  0.005221932 0.000000000 0.000000000               
##   0.381 0.000000000 0.000000000 0.004115226               
##   0.382 0.002610966 0.000000000 0.000000000               
##   0.383 0.002610966 0.000000000 0.000000000               
##   0.385 0.000000000 0.000000000 0.004115226               
##   0.388 0.002610966 0.000000000 0.000000000               
##   0.389 0.005221932 0.000000000 0.004115226               
##   0.391 0.007832898 0.000000000 0.000000000               
##   0.393 0.002610966 0.000000000 0.000000000               
##   0.394 0.002610966 0.000000000 0.000000000               
##   0.395 0.000000000 0.000000000 0.004115226               
##   0.396 0.002610966 0.000000000 0.000000000               
##   0.398 0.000000000 0.000000000 0.004115226               
##   0.399 0.000000000 0.000000000 0.004115226               
##   0.4   0.002610966 0.007042254 0.000000000               
##   0.401 0.000000000 0.007042254 0.000000000               
##   0.402 0.005221932 0.000000000 0.000000000               
##   0.403 0.002610966 0.000000000 0.004115226               
##   0.404 0.000000000 0.007042254 0.000000000               
##   0.407 0.002610966 0.000000000 0.004115226               
##   0.408 0.000000000 0.000000000 0.004115226               
##   0.409 0.002610966 0.000000000 0.000000000               
##   0.411 0.000000000 0.000000000 0.004115226               
##   0.412 0.002610966 0.000000000 0.004115226               
##   0.415 0.000000000 0.007042254 0.004115226               
##   0.416 0.002610966 0.000000000 0.000000000               
##   0.417 0.002610966 0.000000000 0.000000000               
##   0.419 0.002610966 0.000000000 0.000000000               
##   0.42  0.002610966 0.000000000 0.000000000               
##   0.421 0.002610966 0.000000000 0.000000000               
##   0.422 0.000000000 0.014084507 0.004115226               
##   0.423 0.000000000 0.000000000 0.004115226               
##   0.426 0.000000000 0.000000000 0.004115226               
##   0.427 0.000000000 0.000000000 0.004115226               
##   0.43  0.000000000 0.007042254 0.004115226               
##   0.431 0.000000000 0.000000000 0.004115226               
##   0.432 0.002610966 0.000000000 0.000000000               
##   0.433 0.002610966 0.007042254 0.000000000               
##   0.434 0.002610966 0.007042254 0.000000000               
##   0.435 0.002610966 0.000000000 0.000000000               
##   0.439 0.002610966 0.000000000 0.004115226               
##   0.441 0.002610966 0.000000000 0.000000000               
##   0.443 0.005221932 0.000000000 0.004115226               
##   0.444 0.002610966 0.000000000 0.004115226               
##   0.446 0.000000000 0.007042254 0.000000000               
##   0.447 0.000000000 0.000000000 0.004115226               
##   0.451 0.002610966 0.000000000 0.000000000               
##   0.452 0.000000000 0.000000000 0.012345679               
##   0.453 0.000000000 0.000000000 0.004115226               
##   0.454 0.000000000 0.000000000 0.004115226               
##   0.455 0.002610966 0.000000000 0.004115226               
##   0.457 0.002610966 0.000000000 0.000000000               
##   0.46  0.000000000 0.007042254 0.000000000               
##   0.463 0.000000000 0.007042254 0.000000000               
##   0.464 0.000000000 0.000000000 0.004115226               
##   0.465 0.002610966 0.000000000 0.000000000               
##   0.466 0.000000000 0.000000000 0.008230453               
##   0.467 0.000000000 0.000000000 0.004115226               
##   0.471 0.002610966 0.000000000 0.004115226               
##   0.472 0.000000000 0.000000000 0.004115226               
##   0.479 0.002610966 0.000000000 0.000000000               
##   0.482 0.000000000 0.007042254 0.000000000               
##   0.483 0.000000000 0.000000000 0.004115226               
##   0.484 0.002610966 0.000000000 0.000000000               
##   0.485 0.002610966 0.000000000 0.000000000               
##   0.487 0.000000000 0.000000000 0.004115226               
##   0.488 0.000000000 0.000000000 0.004115226               
##   0.491 0.000000000 0.007042254 0.000000000               
##   0.493 0.000000000 0.000000000 0.004115226               
##   0.495 0.000000000 0.007042254 0.000000000               
##   0.496 0.000000000 0.014084507 0.004115226               
##   0.497 0.000000000 0.014084507 0.000000000               
##   0.498 0.000000000 0.000000000 0.004115226               
##   0.499 0.000000000 0.007042254 0.000000000               
##   0.501 0.002610966 0.000000000 0.000000000               
##   0.502 0.000000000 0.000000000 0.004115226               
##   0.503 0.002610966 0.000000000 0.000000000               
##   0.507 0.000000000 0.000000000 0.004115226               
##   0.509 0.000000000 0.007042254 0.000000000               
##   0.51  0.000000000 0.007042254 0.000000000               
##   0.512 0.002610966 0.000000000 0.000000000               
##   0.514 0.002610966 0.000000000 0.004115226               
##   0.515 0.000000000 0.000000000 0.004115226               
##   0.516 0.000000000 0.000000000 0.004115226               
##   0.52  0.002610966 0.000000000 0.008230453               
##   0.525 0.002610966 0.000000000 0.000000000               
##   0.526 0.000000000 0.007042254 0.000000000               
##   0.527 0.000000000 0.007042254 0.004115226               
##   0.528 0.000000000 0.000000000 0.008230453               
##   0.529 0.000000000 0.007042254 0.000000000               
##   0.532 0.000000000 0.007042254 0.000000000               
##   0.534 0.000000000 0.000000000 0.004115226               
##   0.536 0.002610966 0.000000000 0.004115226               
##   0.537 0.002610966 0.000000000 0.000000000               
##   0.539 0.002610966 0.000000000 0.000000000               
##   0.542 0.002610966 0.000000000 0.004115226               
##   0.543 0.002610966 0.000000000 0.004115226               
##   0.545 0.000000000 0.007042254 0.000000000               
##   0.546 0.002610966 0.000000000 0.000000000               
##   0.547 0.000000000 0.007042254 0.000000000               
##   0.549 0.000000000 0.000000000 0.004115226               
##   0.551 0.005221932 0.007042254 0.004115226               
##   0.554 0.002610966 0.000000000 0.000000000               
##   0.557 0.002610966 0.000000000 0.004115226               
##   0.559 0.005221932 0.000000000 0.000000000               
##   0.56  0.002610966 0.000000000 0.000000000               
##   0.561 0.000000000 0.007042254 0.000000000               
##   0.564 0.002610966 0.000000000 0.000000000               
##   0.565 0.002610966 0.000000000 0.000000000               
##   0.569 0.002610966 0.000000000 0.000000000               
##   0.571 0.000000000 0.000000000 0.004115226               
##   0.572 0.002610966 0.000000000 0.000000000               
##   0.575 0.002610966 0.000000000 0.000000000               
##   0.578 0.002610966 0.000000000 0.000000000               
##   0.58  0.000000000 0.007042254 0.000000000               
##   0.582 0.002610966 0.000000000 0.004115226               
##   0.583 0.002610966 0.007042254 0.004115226               
##   0.586 0.002610966 0.000000000 0.004115226               
##   0.587 0.005221932 0.000000000 0.004115226               
##   0.588 0.000000000 0.000000000 0.004115226               
##   0.591 0.000000000 0.000000000 0.008230453               
##   0.593 0.000000000 0.000000000 0.004115226               
##   0.595 0.002610966 0.000000000 0.000000000               
##   0.597 0.000000000 0.007042254 0.000000000               
##   0.598 0.000000000 0.000000000 0.004115226               
##   0.6   0.002610966 0.007042254 0.000000000               
##   0.601 0.002610966 0.000000000 0.000000000               
##   0.605 0.000000000 0.000000000 0.008230453               
##   0.607 0.002610966 0.000000000 0.000000000               
##   0.61  0.002610966 0.000000000 0.000000000               
##   0.612 0.002610966 0.000000000 0.000000000               
##   0.613 0.000000000 0.000000000 0.004115226               
##   0.614 0.000000000 0.000000000 0.004115226               
##   0.615 0.000000000 0.000000000 0.004115226               
##   0.619 0.000000000 0.000000000 0.004115226               
##   0.624 0.002610966 0.000000000 0.000000000               
##   0.626 0.000000000 0.007042254 0.000000000               
##   0.627 0.002610966 0.000000000 0.000000000               
##   0.629 0.000000000 0.007042254 0.000000000               
##   0.63  0.002610966 0.000000000 0.000000000               
##   0.631 0.000000000 0.000000000 0.004115226               
##   0.637 0.000000000 0.007042254 0.004115226               
##   0.64  0.002610966 0.000000000 0.004115226               
##   0.645 0.002610966 0.000000000 0.000000000               
##   0.646 0.000000000 0.000000000 0.004115226               
##   0.647 0.000000000 0.007042254 0.004115226               
##   0.649 0.000000000 0.007042254 0.000000000               
##   0.652 0.005221932 0.000000000 0.000000000               
##   0.654 0.002610966 0.007042254 0.000000000               
##   0.655 0.000000000 0.000000000 0.004115226               
##   0.658 0.000000000 0.007042254 0.000000000               
##   0.66  0.005221932 0.000000000 0.000000000               
##   0.661 0.000000000 0.000000000 0.004115226               
##   0.665 0.002610966 0.000000000 0.000000000               
##   0.666 0.000000000 0.007042254 0.000000000               
##   0.672 0.002610966 0.000000000 0.000000000               
##   0.673 0.000000000 0.007042254 0.000000000               
##   0.674 0.002610966 0.000000000 0.004115226               
##   0.677 0.000000000 0.007042254 0.000000000               
##   0.678 0.000000000 0.014084507 0.000000000               
##   0.68  0.002610966 0.000000000 0.000000000               
##   0.682 0.000000000 0.000000000 0.004115226               
##   0.686 0.005221932 0.000000000 0.000000000               
##   0.687 0.002610966 0.000000000 0.012345679               
##   0.692 0.000000000 0.000000000 0.016460905               
##   0.693 0.002610966 0.000000000 0.000000000               
##   0.695 0.000000000 0.000000000 0.004115226               
##   0.696 0.002610966 0.000000000 0.000000000               
##   0.698 0.000000000 0.000000000 0.004115226               
##   0.699 0.000000000 0.000000000 0.004115226               
##   0.702 0.000000000 0.000000000 0.004115226               
##   0.703 0.002610966 0.000000000 0.000000000               
##   0.704 0.000000000 0.000000000 0.004115226               
##   0.705 0.000000000 0.007042254 0.000000000               
##   0.709 0.002610966 0.000000000 0.000000000               
##   0.711 0.000000000 0.000000000 0.004115226               
##   0.717 0.000000000 0.000000000 0.004115226               
##   0.718 0.000000000 0.000000000 0.004115226               
##   0.719 0.000000000 0.000000000 0.004115226               
##   0.721 0.000000000 0.000000000 0.004115226               
##   0.722 0.000000000 0.000000000 0.004115226               
##   0.725 0.000000000 0.007042254 0.000000000               
##   0.727 0.005221932 0.000000000 0.000000000               
##   0.73  0.000000000 0.000000000 0.004115226               
##   0.731 0.000000000 0.007042254 0.000000000               
##   0.732 0.002610966 0.000000000 0.000000000               
##   0.733 0.000000000 0.007042254 0.004115226               
##   0.734 0.002610966 0.000000000 0.000000000               
##   0.735 0.002610966 0.000000000 0.000000000               
##   0.738 0.000000000 0.007042254 0.000000000               
##   0.741 0.002610966 0.000000000 0.000000000               
##   0.742 0.000000000 0.000000000 0.004115226               
##   0.743 0.002610966 0.000000000 0.000000000               
##   0.744 0.002610966 0.000000000 0.000000000               
##   0.745 0.002610966 0.000000000 0.000000000               
##   0.748 0.000000000 0.007042254 0.000000000               
##   0.757 0.000000000 0.007042254 0.000000000               
##   0.759 0.000000000 0.007042254 0.000000000               
##   0.761 0.002610966 0.007042254 0.000000000               
##   0.766 0.002610966 0.000000000 0.000000000               
##   0.767 0.000000000 0.007042254 0.000000000               
##   0.771 0.000000000 0.000000000 0.004115226               
##   0.773 0.002610966 0.000000000 0.000000000               
##   0.785 0.000000000 0.000000000 0.004115226               
##   0.787 0.002610966 0.000000000 0.004115226               
##   0.801 0.000000000 0.000000000 0.004115226               
##   0.803 0.002610966 0.000000000 0.000000000               
##   0.804 0.000000000 0.000000000 0.004115226               
##   0.805 0.002610966 0.000000000 0.000000000               
##   0.808 0.000000000 0.000000000 0.004115226               
##   0.813 0.000000000 0.000000000 0.004115226               
##   0.816 0.000000000 0.000000000 0.004115226               
##   0.817 0.000000000 0.000000000 0.004115226               
##   0.821 0.000000000 0.007042254 0.000000000               
##   0.825 0.002610966 0.000000000 0.000000000               
##   0.826 0.000000000 0.000000000 0.004115226               
##   0.828 0.000000000 0.000000000 0.004115226               
##   0.831 0.002610966 0.000000000 0.000000000               
##   0.832 0.002610966 0.000000000 0.000000000               
##   0.833 0.000000000 0.000000000 0.004115226               
##   0.839 0.002610966 0.000000000 0.004115226               
##   0.84  0.002610966 0.000000000 0.000000000               
##   0.845 0.002610966 0.000000000 0.000000000               
##   0.851 0.000000000 0.000000000 0.004115226               
##   0.855 0.002610966 0.000000000 0.000000000               
##   0.856 0.002610966 0.000000000 0.000000000               
##   0.867 0.000000000 0.007042254 0.000000000               
##   0.871 0.000000000 0.007042254 0.000000000               
##   0.874 0.002610966 0.000000000 0.000000000               
##   0.875 0.000000000 0.000000000 0.008230453               
##   0.878 0.002610966 0.000000000 0.000000000               
##   0.88  0.000000000 0.000000000 0.004115226               
##   0.881 0.000000000 0.000000000 0.004115226               
##   0.886 0.000000000 0.007042254 0.000000000               
##   0.892 0.000000000 0.000000000 0.004115226               
##   0.893 0.000000000 0.000000000 0.004115226               
##   0.904 0.002610966 0.000000000 0.000000000               
##   0.905 0.002610966 0.007042254 0.000000000               
##   0.917 0.000000000 0.007042254 0.000000000               
##   0.925 0.002610966 0.000000000 0.000000000               
##   0.926 0.000000000 0.000000000 0.004115226               
##   0.93  0.002610966 0.000000000 0.000000000               
##   0.932 0.002610966 0.000000000 0.000000000               
##   0.933 0.002610966 0.000000000 0.000000000               
##   0.944 0.000000000 0.000000000 0.004115226               
##   0.947 0.000000000 0.000000000 0.004115226               
##   0.949 0.000000000 0.007042254 0.000000000               
##   0.955 0.002610966 0.000000000 0.000000000               
##   0.956 0.002610966 0.000000000 0.000000000               
##   0.962 0.000000000 0.000000000 0.008230453               
##   0.966 0.000000000 0.000000000 0.004115226               
##   0.968 0.000000000 0.007042254 0.004115226               
##   0.97  0.000000000 0.000000000 0.004115226               
##   0.997 0.000000000 0.007042254 0.000000000               
##   1.001 0.000000000 0.000000000 0.004115226               
##   1.021 0.000000000 0.007042254 0.000000000               
##   1.022 0.002610966 0.000000000 0.000000000               
##   1.034 0.000000000 0.000000000 0.004115226               
##   1.057 0.000000000 0.000000000 0.004115226               
##   1.072 0.000000000 0.000000000 0.004115226               
##   1.076 0.000000000 0.000000000 0.004115226               
##   1.095 0.002610966 0.000000000 0.000000000               
##   1.096 0.000000000 0.007042254 0.000000000               
##   1.101 0.002610966 0.000000000 0.000000000               
##   1.114 0.002610966 0.000000000 0.000000000               
##   1.127 0.002610966 0.000000000 0.000000000               
##   1.136 0.002610966 0.000000000 0.000000000               
##   1.138 0.002610966 0.000000000 0.000000000               
##   1.144 0.000000000 0.000000000 0.004115226               
##   1.154 0.000000000 0.000000000 0.004115226               
##   1.159 0.000000000 0.000000000 0.004115226               
##   1.162 0.000000000 0.000000000 0.004115226               
##   1.174 0.000000000 0.000000000 0.004115226               
##   1.182 0.002610966 0.000000000 0.000000000               
##   1.189 0.000000000 0.000000000 0.004115226               
##   1.191 0.002610966 0.000000000 0.000000000               
##   1.213 0.002610966 0.000000000 0.000000000               
##   1.222 0.002610966 0.000000000 0.000000000               
##   1.224 0.002610966 0.000000000 0.004115226               
##   1.251 0.000000000 0.007042254 0.000000000               
##   1.258 0.000000000 0.000000000 0.004115226               
##   1.268 0.000000000 0.007042254 0.000000000               
##   1.282 0.002610966 0.000000000 0.000000000               
##   1.292 0.000000000 0.007042254 0.000000000               
##   1.318 0.000000000 0.000000000 0.004115226               
##   1.321 0.000000000 0.007042254 0.000000000               
##   1.353 0.000000000 0.000000000 0.004115226               
##   1.39  0.000000000 0.000000000 0.004115226               
##   1.391 0.000000000 0.000000000 0.004115226               
##   1.394 0.002610966 0.000000000 0.000000000               
##   1.4   0.000000000 0.000000000 0.004115226               
##   1.441 0.002610966 0.000000000 0.000000000               
##   1.461 0.002610966 0.000000000 0.000000000               
##   1.476 0.002610966 0.000000000 0.000000000               
##   1.6   0.000000000 0.000000000 0.004115226               
##   1.698 0.002610966 0.000000000 0.000000000               
##   1.699 0.000000000 0.000000000 0.004115226               
##   1.731 0.000000000 0.007042254 0.000000000               
##   1.781 0.002610966 0.000000000 0.000000000               
##   1.893 0.002610966 0.000000000 0.000000000               
##   2.137 0.000000000 0.000000000 0.004115226               
##   2.288 0.000000000 0.000000000 0.004115226               
##   2.329 0.000000000 0.000000000 0.004115226               
##   2.42  0.002610966 0.000000000 0.000000000
ggplot(diabetes, aes(Insulin_cat, fill = factor(Outcome))) +
  geom_bar(position = "dodge") +
  labs(
    title = "Insulin Categories vs Diabetes Outcome",
    x = "Insulin Category",
    y = "Count",
    fill = "Outcome"
  ) +
  theme_minimal()

In Type 1 diabetes, the body cannot make enough insulin, so insulin levels are low. In early Type 2 diabetes, the body becomes resistant to insulin, so it produces extra insulin to control blood sugar

#Visualizing and grouping for pedigree function

diabetes$PedigreeGroup <- cut(
  diabetes$DiabetesPedigreeFunction,
  breaks = c(0, 0.2, 0.5, 1.0, Inf),
  labels = c("Very Low", "Low", "Moderate", "High"),
  include.lowest = TRUE
)

ggplot(diabetes, aes(x = PedigreeGroup, fill = as.factor(Outcome))) +
  geom_bar(position = "dodge") +
  labs(
    title = "Pedigree Category vs Diabetes Outcome",
    x = "Pedigree Level",
    fill = "Outcome"
  ) +
  theme_minimal()

The Diabetes Pedigree Function shows how much family history may increase your risk of diabetes, but it’s not the main cause. Things like diet, exercise, weight, and lifestyle usually have a bigger impact. So even people with low or moderate family risk can still get diabetes, and not everyone with high family risk will develop it.

Visualizing Variables That Affect the Outcome

numeric_data <- diabetes[sapply(diabetes, is.numeric)]
numeric_data
##     Pregnancies Glucose BloodPressure SkinThickness Insulin  BMI
## 1             6     148            72            35       0 33.6
## 2             1      85            66            29       0 26.6
## 3             8     183            64             0       0 23.3
## 4             1      89            66            23      94 28.1
## 5             0     137            40            35     168 43.1
## 6             5     116            74             0       0 25.6
## 7             3      78            50            32      88 31.0
## 8            10     115             0             0       0 35.3
## 9             2     197            70            45     300 30.5
## 10            8     125            96             0       0  0.0
## 11            4     110            92             0       0 37.6
## 12           10     168            74             0       0 38.0
## 13           10     139            80             0       0 27.1
## 14            1     189            60            23     300 30.1
## 15            5     166            72            19     175 25.8
## 16            7     100             0             0       0 30.0
## 17            0     118            84            47     230 45.8
## 18            7     107            74             0       0 29.6
## 19            1     103            30            38      83 43.3
## 20            1     115            70            30      96 34.6
## 21            3     126            88            41     235 39.3
## 22            8      99            84             0       0 35.4
## 23            7     196            90             0       0 39.8
## 24            9     119            80            35       0 29.0
## 25           11     143            94            33     146 36.6
## 26           10     125            70            26     115 31.1
## 27            7     147            76             0       0 39.4
## 28            1      97            66            15     140 23.2
## 29           13     145            82            19     110 22.2
## 30            5     117            92             0       0 34.1
## 31            5     109            75            26       0 36.0
## 32            3     158            76            36     245 31.6
## 33            3      88            58            11      54 24.8
## 34            6      92            92             0       0 19.9
## 35           10     122            78            31       0 27.6
## 36            4     103            60            33     192 24.0
## 37           11     138            76             0       0 33.2
## 38            9     102            76            37       0 32.9
## 39            2      90            68            42       0 38.2
## 40            4     111            72            47     207 37.1
## 41            3     180            64            25      70 34.0
## 42            7     133            84             0       0 40.2
## 43            7     106            92            18       0 22.7
## 44            9     171           110            24     240 45.4
## 45            7     159            64             0       0 27.4
## 46            0     180            66            39       0 42.0
## 47            1     146            56             0       0 29.7
## 48            2      71            70            27       0 28.0
## 49            7     103            66            32       0 39.1
## 50            7     105             0             0       0  0.0
## 51            1     103            80            11      82 19.4
## 52            1     101            50            15      36 24.2
## 53            5      88            66            21      23 24.4
## 54            8     176            90            34     300 33.7
## 55            7     150            66            42     300 34.7
## 56            1      73            50            10       0 23.0
## 57            7     187            68            39     300 37.7
## 58            0     100            88            60     110 46.8
## 59            0     146            82             0       0 40.5
## 60            0     105            64            41     142 41.5
## 61            2      84             0             0       0  0.0
## 62            8     133            72             0       0 32.9
## 63            5      44            62             0       0 25.0
## 64            2     141            58            34     128 25.4
## 65            7     114            66             0       0 32.8
## 66            5      99            74            27       0 29.0
## 67            0     109            88            30       0 32.5
## 68            2     109            92             0       0 42.7
## 69            1      95            66            13      38 19.6
## 70            4     146            85            27     100 28.9
## 71            2     100            66            20      90 32.9
## 72            5     139            64            35     140 28.6
## 73           13     126            90             0       0 43.4
## 74            4     129            86            20     270 35.1
## 75            1      79            75            30       0 32.0
## 76            1       0            48            20       0 24.7
## 77            7      62            78             0       0 32.6
## 78            5      95            72            33       0 37.7
## 79            0     131             0             0       0 43.2
## 80            2     112            66            22       0 25.0
## 81            3     113            44            13       0 22.4
## 82            2      74             0             0       0  0.0
## 83            7      83            78            26      71 29.3
## 84            0     101            65            28       0 24.6
## 85            5     137           108             0       0 48.8
## 86            2     110            74            29     125 32.4
## 87           13     106            72            54       0 36.6
## 88            2     100            68            25      71 38.5
## 89           15     136            70            32     110 37.1
## 90            1     107            68            19       0 26.5
## 91            1      80            55             0       0 19.1
## 92            4     123            80            15     176 32.0
## 93            7      81            78            40      48 46.7
## 94            4     134            72             0       0 23.8
## 95            2     142            82            18      64 24.7
## 96            6     144            72            27     228 33.9
## 97            2      92            62            28       0 31.6
## 98            1      71            48            18      76 20.4
## 99            6      93            50            30      64 28.7
## 100           1     122            90            51     220 49.7
## 101           1     163            72             0       0 39.0
## 102           1     151            60             0       0 26.1
## 103           0     125            96             0       0 22.5
## 104           1      81            72            18      40 26.6
## 105           2      85            65             0       0 39.6
## 106           1     126            56            29     152 28.7
## 107           1      96           122             0       0 22.4
## 108           4     144            58            28     140 29.5
## 109           3      83            58            31      18 34.3
## 110           0      95            85            25      36 37.4
## 111           3     171            72            33     135 33.3
## 112           8     155            62            26     300 34.0
## 113           1      89            76            34      37 31.2
## 114           4      76            62             0       0 34.0
## 115           7     160            54            32     175 30.5
## 116           4     146            92             0       0 31.2
## 117           5     124            74             0       0 34.0
## 118           5      78            48             0       0 33.7
## 119           4      97            60            23       0 28.2
## 120           4      99            76            15      51 23.2
## 121           0     162            76            56     100 53.2
## 122           6     111            64            39       0 34.2
## 123           2     107            74            30     100 33.6
## 124           5     132            80             0       0 26.8
## 125           0     113            76             0       0 33.3
## 126           1      88            30            42      99 55.0
## 127           3     120            70            30     135 42.9
## 128           1     118            58            36      94 33.3
## 129           1     117            88            24     145 34.5
## 130           0     105            84             0       0 27.9
## 131           4     173            70            14     168 29.7
## 132           9     122            56             0       0 33.3
## 133           3     170            64            37     225 34.5
## 134           8      84            74            31       0 38.3
## 135           2      96            68            13      49 21.1
## 136           2     125            60            20     140 33.8
## 137           0     100            70            26      50 30.8
## 138           0      93            60            25      92 28.7
## 139           0     129            80             0       0 31.2
## 140           5     105            72            29     300 36.9
## 141           3     128            78             0       0 21.1
## 142           5     106            82            30       0 39.5
## 143           2     108            52            26      63 32.5
## 144          10     108            66             0       0 32.4
## 145           4     154            62            31     284 32.8
## 146           0     102            75            23       0  0.0
## 147           9      57            80            37       0 32.8
## 148           2     106            64            35     119 30.5
## 149           5     147            78             0       0 33.7
## 150           2      90            70            17       0 27.3
## 151           1     136            74            50     204 37.4
## 152           4     114            65             0       0 21.9
## 153           9     156            86            28     155 34.3
## 154           1     153            82            42     300 40.6
## 155           8     188            78             0       0 47.9
## 156           7     152            88            44       0 50.0
## 157           2      99            52            15      94 24.6
## 158           1     109            56            21     135 25.2
## 159           2      88            74            19      53 29.0
## 160          17     163            72            41     114 40.9
## 161           4     151            90            38       0 29.7
## 162           7     102            74            40     105 37.2
## 163           0     114            80            34     285 44.2
## 164           2     100            64            23       0 29.7
## 165           0     131            88             0       0 31.6
## 166           6     104            74            18     156 29.9
## 167           3     148            66            25       0 32.5
## 168           4     120            68             0       0 29.6
## 169           4     110            66             0       0 31.9
## 170           3     111            90            12      78 28.4
## 171           6     102            82             0       0 30.8
## 172           6     134            70            23     130 35.4
## 173           2      87             0            23       0 28.9
## 174           1      79            60            42      48 43.5
## 175           2      75            64            24      55 29.7
## 176           8     179            72            42     130 32.7
## 177           6      85            78             0       0 31.2
## 178           0     129           110            46     130 67.1
## 179           5     143            78             0       0 45.0
## 180           5     130            82             0       0 39.1
## 181           6      87            80             0       0 23.2
## 182           0     119            64            18      92 34.9
## 183           1       0            74            20      23 27.7
## 184           5      73            60             0       0 26.8
## 185           4     141            74             0       0 27.6
## 186           7     194            68            28       0 35.9
## 187           8     181            68            36     300 30.1
## 188           1     128            98            41      58 32.0
## 189           8     109            76            39     114 27.9
## 190           5     139            80            35     160 31.6
## 191           3     111            62             0       0 22.6
## 192           9     123            70            44      94 33.1
## 193           7     159            66             0       0 30.4
## 194          11     135             0             0       0 52.3
## 195           8      85            55            20       0 24.4
## 196           5     158            84            41     210 39.4
## 197           1     105            58             0       0 24.3
## 198           3     107            62            13      48 22.9
## 199           4     109            64            44      99 34.8
## 200           4     148            60            27     300 30.9
## 201           0     113            80            16       0 31.0
## 202           1     138            82             0       0 40.1
## 203           0     108            68            20       0 27.3
## 204           2      99            70            16      44 20.4
## 205           6     103            72            32     190 37.7
## 206           5     111            72            28       0 23.9
## 207           8     196            76            29     280 37.5
## 208           5     162           104             0       0 37.7
## 209           1      96            64            27      87 33.2
## 210           7     184            84            33       0 35.5
## 211           2      81            60            22       0 27.7
## 212           0     147            85            54       0 42.8
## 213           7     179            95            31       0 34.2
## 214           0     140            65            26     130 42.6
## 215           9     112            82            32     175 34.2
## 216          12     151            70            40     271 41.8
## 217           5     109            62            41     129 35.8
## 218           6     125            68            30     120 30.0
## 219           5      85            74            22       0 29.0
## 220           5     112            66             0       0 37.8
## 221           0     177            60            29     300 34.6
## 222           2     158            90             0       0 31.6
## 223           7     119             0             0       0 25.2
## 224           7     142            60            33     190 28.8
## 225           1     100            66            15      56 23.6
## 226           1      87            78            27      32 34.6
## 227           0     101            76             0       0 35.7
## 228           3     162            52            38       0 37.2
## 229           4     197            70            39     300 36.7
## 230           0     117            80            31      53 45.2
## 231           4     142            86             0       0 44.0
## 232           6     134            80            37     300 46.2
## 233           1      79            80            25      37 25.4
## 234           4     122            68             0       0 35.0
## 235           3      74            68            28      45 29.7
## 236           4     171            72             0       0 43.6
## 237           7     181            84            21     192 35.9
## 238           0     179            90            27       0 44.1
## 239           9     164            84            21       0 30.8
## 240           0     104            76             0       0 18.4
## 241           1      91            64            24       0 29.2
## 242           4      91            70            32      88 33.1
## 243           3     139            54             0       0 25.6
## 244           6     119            50            22     176 27.1
## 245           2     146            76            35     194 38.2
## 246           9     184            85            15       0 30.0
## 247          10     122            68             0       0 31.2
## 248           0     165            90            33     300 52.3
## 249           9     124            70            33     300 35.4
## 250           1     111            86            19       0 30.1
## 251           9     106            52             0       0 31.2
## 252           2     129            84             0       0 28.0
## 253           2      90            80            14      55 24.4
## 254           0      86            68            32       0 35.8
## 255          12      92            62             7     258 27.6
## 256           1     113            64            35       0 33.6
## 257           3     111            56            39       0 30.1
## 258           2     114            68            22       0 28.7
## 259           1     193            50            16     300 25.9
## 260          11     155            76            28     150 33.3
## 261           3     191            68            15     130 30.9
## 262           3     141             0             0       0 30.0
## 263           4      95            70            32       0 32.1
## 264           3     142            80            15       0 32.4
## 265           4     123            62             0       0 32.0
## 266           5      96            74            18      67 33.6
## 267           0     138             0             0       0 36.3
## 268           2     128            64            42       0 40.0
## 269           0     102            52             0       0 25.1
## 270           2     146             0             0       0 27.5
## 271          10     101            86            37       0 45.6
## 272           2     108            62            32      56 25.2
## 273           3     122            78             0       0 23.0
## 274           1      71            78            50      45 33.2
## 275          13     106            70             0       0 34.2
## 276           2     100            70            52      57 40.5
## 277           7     106            60            24       0 26.5
## 278           0     104            64            23     116 27.8
## 279           5     114            74             0       0 24.9
## 280           2     108            62            10     278 25.3
## 281           0     146            70             0       0 37.9
## 282          10     129            76            28     122 35.9
## 283           7     133            88            15     155 32.4
## 284           7     161            86             0       0 30.4
## 285           2     108            80             0       0 27.0
## 286           7     136            74            26     135 26.0
## 287           5     155            84            44     300 38.7
## 288           1     119            86            39     220 45.6
## 289           4      96            56            17      49 20.8
## 290           5     108            72            43      75 36.1
## 291           0      78            88            29      40 36.9
## 292           0     107            62            30      74 36.6
## 293           2     128            78            37     182 43.3
## 294           1     128            48            45     194 40.5
## 295           0     161            50             0       0 21.9
## 296           6     151            62            31     120 35.5
## 297           2     146            70            38     300 28.0
## 298           0     126            84            29     215 30.7
## 299          14     100            78            25     184 36.6
## 300           8     112            72             0       0 23.6
## 301           0     167             0             0       0 32.3
## 302           2     144            58            33     135 31.6
## 303           5      77            82            41      42 35.8
## 304           5     115            98             0       0 52.9
## 305           3     150            76             0       0 21.0
## 306           2     120            76            37     105 39.7
## 307          10     161            68            23     132 25.5
## 308           0     137            68            14     148 24.8
## 309           0     128            68            19     180 30.5
## 310           2     124            68            28     205 32.9
## 311           6      80            66            30       0 26.2
## 312           0     106            70            37     148 39.4
## 313           2     155            74            17      96 26.6
## 314           3     113            50            10      85 29.5
## 315           7     109            80            31       0 35.9
## 316           2     112            68            22      94 34.1
## 317           3      99            80            11      64 19.3
## 318           3     182            74             0       0 30.5
## 319           3     115            66            39     140 38.1
## 320           6     194            78             0       0 23.5
## 321           4     129            60            12     231 27.5
## 322           3     112            74            30       0 31.6
## 323           0     124            70            20       0 27.4
## 324          13     152            90            33      29 26.8
## 325           2     112            75            32       0 35.7
## 326           1     157            72            21     168 25.6
## 327           1     122            64            32     156 35.1
## 328          10     179            70             0       0 35.1
## 329           2     102            86            36     120 45.5
## 330           6     105            70            32      68 30.8
## 331           8     118            72            19       0 23.1
## 332           2      87            58            16      52 32.7
## 333           1     180             0             0       0 43.3
## 334          12     106            80             0       0 23.6
## 335           1      95            60            18      58 23.9
## 336           0     165            76            43     255 47.9
## 337           0     117             0             0       0 33.8
## 338           5     115            76             0       0 31.2
## 339           9     152            78            34     171 34.2
## 340           7     178            84             0       0 39.9
## 341           1     130            70            13     105 25.9
## 342           1      95            74            21      73 25.9
## 343           1       0            68            35       0 32.0
## 344           5     122            86             0       0 34.7
## 345           8      95            72             0       0 36.8
## 346           8     126            88            36     108 38.5
## 347           1     139            46            19      83 28.7
## 348           3     116             0             0       0 23.5
## 349           3      99            62            19      74 21.8
## 350           5       0            80            32       0 41.0
## 351           4      92            80             0       0 42.2
## 352           4     137            84             0       0 31.2
## 353           3      61            82            28       0 34.4
## 354           1      90            62            12      43 27.2
## 355           3      90            78             0       0 42.7
## 356           9     165            88             0       0 30.4
## 357           1     125            50            40     167 33.3
## 358          13     129             0            30       0 39.9
## 359          12      88            74            40      54 35.3
## 360           1     196            76            36     249 36.5
## 361           5     189            64            33     300 31.2
## 362           5     158            70             0       0 29.8
## 363           5     103           108            37       0 39.2
## 364           4     146            78             0       0 38.5
## 365           4     147            74            25     293 34.9
## 366           5      99            54            28      83 34.0
## 367           6     124            72             0       0 27.6
## 368           0     101            64            17       0 21.0
## 369           3      81            86            16      66 27.5
## 370           1     133           102            28     140 32.8
## 371           3     173            82            48     300 38.4
## 372           0     118            64            23      89  0.0
## 373           0      84            64            22      66 35.8
## 374           2     105            58            40      94 34.9
## 375           2     122            52            43     158 36.2
## 376          12     140            82            43     300 39.2
## 377           0      98            82            15      84 25.2
## 378           1      87            60            37      75 37.2
## 379           4     156            75             0       0 48.3
## 380           0      93           100            39      72 43.4
## 381           1     107            72            30      82 30.8
## 382           0     105            68            22       0 20.0
## 383           1     109            60             8     182 25.4
## 384           1      90            62            18      59 25.1
## 385           1     125            70            24     110 24.3
## 386           1     119            54            13      50 22.3
## 387           5     116            74            29       0 32.3
## 388           8     105           100            36       0 43.3
## 389           5     144            82            26     285 32.0
## 390           3     100            68            23      81 31.6
## 391           1     100            66            29     196 32.0
## 392           5     166            76             0       0 45.7
## 393           1     131            64            14     300 23.7
## 394           4     116            72            12      87 22.1
## 395           4     158            78             0       0 32.9
## 396           2     127            58            24     275 27.7
## 397           3      96            56            34     115 24.7
## 398           0     131            66            40       0 34.3
## 399           3      82            70             0       0 21.1
## 400           3     193            70            31       0 34.9
## 401           4      95            64             0       0 32.0
## 402           6     137            61             0       0 24.2
## 403           5     136            84            41      88 35.0
## 404           9      72            78            25       0 31.6
## 405           5     168            64             0       0 32.9
## 406           2     123            48            32     165 42.1
## 407           4     115            72             0       0 28.9
## 408           0     101            62             0       0 21.9
## 409           8     197            74             0       0 25.9
## 410           1     172            68            49     300 42.4
## 411           6     102            90            39       0 35.7
## 412           1     112            72            30     176 34.4
## 413           1     143            84            23     300 42.4
## 414           1     143            74            22      61 26.2
## 415           0     138            60            35     167 34.6
## 416           3     173            84            33     300 35.7
## 417           1      97            68            21       0 27.2
## 418           4     144            82            32       0 38.5
## 419           1      83            68             0       0 18.2
## 420           3     129            64            29     115 26.4
## 421           1     119            88            41     170 45.3
## 422           2      94            68            18      76 26.0
## 423           0     102            64            46      78 40.6
## 424           2     115            64            22       0 30.8
## 425           8     151            78            32     210 42.9
## 426           4     184            78            39     277 37.0
## 427           0      94             0             0       0  0.0
## 428           1     181            64            30     180 34.1
## 429           0     135            94            46     145 40.6
## 430           1      95            82            25     180 35.0
## 431           2      99             0             0       0 22.2
## 432           3      89            74            16      85 30.4
## 433           1      80            74            11      60 30.0
## 434           2     139            75             0       0 25.6
## 435           1      90            68             8       0 24.5
## 436           0     141             0             0       0 42.4
## 437          12     140            85            33       0 37.4
## 438           5     147            75             0       0 29.9
## 439           1      97            70            15       0 18.2
## 440           6     107            88             0       0 36.8
## 441           0     189           104            25       0 34.3
## 442           2      83            66            23      50 32.2
## 443           4     117            64            27     120 33.2
## 444           8     108            70             0       0 30.5
## 445           4     117            62            12       0 29.7
## 446           0     180            78            63      14 59.4
## 447           1     100            72            12      70 25.3
## 448           0      95            80            45      92 36.5
## 449           0     104            64            37      64 33.6
## 450           0     120            74            18      63 30.5
## 451           1      82            64            13      95 21.2
## 452           2     134            70             0       0 28.9
## 453           0      91            68            32     210 39.9
## 454           2     119             0             0       0 19.6
## 455           2     100            54            28     105 37.8
## 456          14     175            62            30       0 33.6
## 457           1     135            54             0       0 26.7
## 458           5      86            68            28      71 30.2
## 459          10     148            84            48     237 37.6
## 460           9     134            74            33      60 25.9
## 461           9     120            72            22      56 20.8
## 462           1      71            62             0       0 21.8
## 463           8      74            70            40      49 35.3
## 464           5      88            78            30       0 27.6
## 465          10     115            98             0       0 24.0
## 466           0     124            56            13     105 21.8
## 467           0      74            52            10      36 27.8
## 468           0      97            64            36     100 36.8
## 469           8     120             0             0       0 30.0
## 470           6     154            78            41     140 46.1
## 471           1     144            82            40       0 41.3
## 472           0     137            70            38       0 33.2
## 473           0     119            66            27       0 38.8
## 474           7     136            90             0       0 29.9
## 475           4     114            64             0       0 28.9
## 476           0     137            84            27       0 27.3
## 477           2     105            80            45     191 33.7
## 478           7     114            76            17     110 23.8
## 479           8     126            74            38      75 25.9
## 480           4     132            86            31       0 28.0
## 481           3     158            70            30     300 35.5
## 482           0     123            88            37       0 35.2
## 483           4      85            58            22      49 27.8
## 484           0      84            82            31     125 38.2
## 485           0     145             0             0       0 44.2
## 486           0     135            68            42     250 42.3
## 487           1     139            62            41     300 40.7
## 488           0     173            78            32     265 46.5
## 489           4      99            72            17       0 25.6
## 490           8     194            80             0       0 26.1
## 491           2      83            65            28      66 36.8
## 492           2      89            90            30       0 33.5
## 493           4      99            68            38       0 32.8
## 494           4     125            70            18     122 28.9
## 495           3      80             0             0       0  0.0
## 496           6     166            74             0       0 26.6
## 497           5     110            68             0       0 26.0
## 498           2      81            72            15      76 30.1
## 499           7     195            70            33     145 25.1
## 500           6     154            74            32     193 29.3
## 501           2     117            90            19      71 25.2
## 502           3      84            72            32       0 37.2
## 503           6       0            68            41       0 39.0
## 504           7      94            64            25      79 33.3
## 505           3      96            78            39       0 37.3
## 506          10      75            82             0       0 33.3
## 507           0     180            90            26      90 36.5
## 508           1     130            60            23     170 28.6
## 509           2      84            50            23      76 30.4
## 510           8     120            78             0       0 25.0
## 511          12      84            72            31       0 29.7
## 512           0     139            62            17     210 22.1
## 513           9      91            68             0       0 24.2
## 514           2      91            62             0       0 27.3
## 515           3      99            54            19      86 25.6
## 516           3     163            70            18     105 31.6
## 517           9     145            88            34     165 30.3
## 518           7     125            86             0       0 37.6
## 519          13      76            60             0       0 32.8
## 520           6     129            90             7     300 19.6
## 521           2      68            70            32      66 25.0
## 522           3     124            80            33     130 33.2
## 523           6     114             0             0       0  0.0
## 524           9     130            70             0       0 34.2
## 525           3     125            58             0       0 31.6
## 526           3      87            60            18       0 21.8
## 527           1      97            64            19      82 18.2
## 528           3     116            74            15     105 26.3
## 529           0     117            66            31     188 30.8
## 530           0     111            65             0       0 24.6
## 531           2     122            60            18     106 29.8
## 532           0     107            76             0       0 45.3
## 533           1      86            66            52      65 41.3
## 534           6      91             0             0       0 29.8
## 535           1      77            56            30      56 33.3
## 536           4     132             0             0       0 32.9
## 537           0     105            90             0       0 29.6
## 538           0      57            60             0       0 21.7
## 539           0     127            80            37     210 36.3
## 540           3     129            92            49     155 36.4
## 541           8     100            74            40     215 39.4
## 542           3     128            72            25     190 32.4
## 543          10      90            85            32       0 34.9
## 544           4      84            90            23      56 39.5
## 545           1      88            78            29      76 32.0
## 546           8     186            90            35     225 34.5
## 547           5     187            76            27     207 43.6
## 548           4     131            68            21     166 33.1
## 549           1     164            82            43      67 32.8
## 550           4     189           110            31       0 28.5
## 551           1     116            70            28       0 27.4
## 552           3      84            68            30     106 31.9
## 553           6     114            88             0       0 27.8
## 554           1      88            62            24      44 29.9
## 555           1      84            64            23     115 36.9
## 556           7     124            70            33     215 25.5
## 557           1      97            70            40       0 38.1
## 558           8     110            76             0       0 27.8
## 559          11     103            68            40       0 46.2
## 560          11      85            74             0       0 30.1
## 561           6     125            76             0       0 33.8
## 562           0     198            66            32     274 41.3
## 563           1      87            68            34      77 37.6
## 564           6      99            60            19      54 26.9
## 565           0      91            80             0       0 32.4
## 566           2      95            54            14      88 26.1
## 567           1      99            72            30      18 38.6
## 568           6      92            62            32     126 32.0
## 569           4     154            72            29     126 31.3
## 570           0     121            66            30     165 34.3
## 571           3      78            70             0       0 32.5
## 572           2     130            96             0       0 22.6
## 573           3     111            58            31      44 29.5
## 574           2      98            60            17     120 34.7
## 575           1     143            86            30     300 30.1
## 576           1     119            44            47      63 35.5
## 577           6     108            44            20     130 24.0
## 578           2     118            80             0       0 42.9
## 579          10     133            68             0       0 27.0
## 580           2     197            70            99       0 34.7
## 581           0     151            90            46       0 42.1
## 582           6     109            60            27       0 25.0
## 583          12     121            78            17       0 26.5
## 584           8     100            76             0       0 38.7
## 585           8     124            76            24     300 28.7
## 586           1      93            56            11       0 22.5
## 587           8     143            66             0       0 34.9
## 588           6     103            66             0       0 24.3
## 589           3     176            86            27     156 33.3
## 590           0      73             0             0       0 21.1
## 591          11     111            84            40       0 46.8
## 592           2     112            78            50     140 39.4
## 593           3     132            80             0       0 34.4
## 594           2      82            52            22     115 28.5
## 595           6     123            72            45     230 33.6
## 596           0     188            82            14     185 32.0
## 597           0      67            76             0       0 45.3
## 598           1      89            24            19      25 27.8
## 599           1     173            74             0       0 36.8
## 600           1     109            38            18     120 23.1
## 601           1     108            88            19       0 27.1
## 602           6      96             0             0       0 23.7
## 603           1     124            74            36       0 27.8
## 604           7     150            78            29     126 35.2
## 605           4     183             0             0       0 28.4
## 606           1     124            60            32       0 35.8
## 607           1     181            78            42     293 40.0
## 608           1      92            62            25      41 19.5
## 609           0     152            82            39     272 41.5
## 610           1     111            62            13     182 24.0
## 611           3     106            54            21     158 30.9
## 612           3     174            58            22     194 32.9
## 613           7     168            88            42     300 38.2
## 614           6     105            80            28       0 32.5
## 615          11     138            74            26     144 36.1
## 616           3     106            72             0       0 25.8
## 617           6     117            96             0       0 28.7
## 618           2      68            62            13      15 20.1
## 619           9     112            82            24       0 28.2
## 620           0     119             0             0       0 32.4
## 621           2     112            86            42     160 38.4
## 622           2      92            76            20       0 24.2
## 623           6     183            94             0       0 40.8
## 624           0      94            70            27     115 43.5
## 625           2     108            64             0       0 30.8
## 626           4      90            88            47      54 37.7
## 627           0     125            68             0       0 24.7
## 628           0     132            78             0       0 32.4
## 629           5     128            80             0       0 34.6
## 630           4      94            65            22       0 24.7
## 631           7     114            64             0       0 27.4
## 632           0     102            78            40      90 34.5
## 633           2     111            60             0       0 26.2
## 634           1     128            82            17     183 27.5
## 635          10      92            62             0       0 25.9
## 636          13     104            72             0       0 31.2
## 637           5     104            74             0       0 28.8
## 638           2      94            76            18      66 31.6
## 639           7      97            76            32      91 40.9
## 640           1     100            74            12      46 19.5
## 641           0     102            86            17     105 29.3
## 642           4     128            70             0       0 34.3
## 643           6     147            80             0       0 29.5
## 644           4      90             0             0       0 28.0
## 645           3     103            72            30     152 27.6
## 646           2     157            74            35     300 39.4
## 647           1     167            74            17     144 23.4
## 648           0     179            50            36     159 37.8
## 649          11     136            84            35     130 28.3
## 650           0     107            60            25       0 26.4
## 651           1      91            54            25     100 25.2
## 652           1     117            60            23     106 33.8
## 653           5     123            74            40      77 34.1
## 654           2     120            54             0       0 26.8
## 655           1     106            70            28     135 34.2
## 656           2     155            52            27     300 38.7
## 657           2     101            58            35      90 21.8
## 658           1     120            80            48     200 38.9
## 659          11     127           106             0       0 39.0
## 660           3      80            82            31      70 34.2
## 661          10     162            84             0       0 27.7
## 662           1     199            76            43       0 42.9
## 663           8     167           106            46     231 37.6
## 664           9     145            80            46     130 37.9
## 665           6     115            60            39       0 33.7
## 666           1     112            80            45     132 34.8
## 667           4     145            82            18       0 32.5
## 668          10     111            70            27       0 27.5
## 669           6      98            58            33     190 34.0
## 670           9     154            78            30     100 30.9
## 671           6     165            68            26     168 33.6
## 672           1      99            58            10       0 25.4
## 673          10      68           106            23      49 35.5
## 674           3     123           100            35     240 57.3
## 675           8      91            82             0       0 35.6
## 676           6     195            70             0       0 30.9
## 677           9     156            86             0       0 24.8
## 678           0      93            60             0       0 35.3
## 679           3     121            52             0       0 36.0
## 680           2     101            58            17     265 24.2
## 681           2      56            56            28      45 24.2
## 682           0     162            76            36       0 49.6
## 683           0      95            64            39     105 44.6
## 684           4     125            80             0       0 32.3
## 685           5     136            82             0       0  0.0
## 686           2     129            74            26     205 33.2
## 687           3     130            64             0       0 23.1
## 688           1     107            50            19       0 28.3
## 689           1     140            74            26     180 24.1
## 690           1     144            82            46     180 46.1
## 691           8     107            80             0       0 24.6
## 692          13     158           114             0       0 42.3
## 693           2     121            70            32      95 39.1
## 694           7     129            68            49     125 38.5
## 695           2      90            60             0       0 23.5
## 696           7     142            90            24     300 30.4
## 697           3     169            74            19     125 29.9
## 698           0      99             0             0       0 25.0
## 699           4     127            88            11     155 34.5
## 700           4     118            70             0       0 44.5
## 701           2     122            76            27     200 35.9
## 702           6     125            78            31       0 27.6
## 703           1     168            88            29       0 35.0
## 704           2     129             0             0       0 38.5
## 705           4     110            76            20     100 28.4
## 706           6      80            80            36       0 39.8
## 707          10     115             0             0       0  0.0
## 708           2     127            46            21     300 34.4
## 709           9     164            78             0       0 32.8
## 710           2      93            64            32     160 38.0
## 711           3     158            64            13     300 31.2
## 712           5     126            78            27      22 29.6
## 713          10     129            62            36       0 41.2
## 714           0     134            58            20     291 26.4
## 715           3     102            74             0       0 29.5
## 716           7     187            50            33     300 33.9
## 717           3     173            78            39     185 33.8
## 718          10      94            72            18       0 23.1
## 719           1     108            60            46     178 35.5
## 720           5      97            76            27       0 35.6
## 721           4      83            86            19       0 29.3
## 722           1     114            66            36     200 38.1
## 723           1     149            68            29     127 29.3
## 724           5     117            86            30     105 39.1
## 725           1     111            94             0       0 32.8
## 726           4     112            78            40       0 39.4
## 727           1     116            78            29     180 36.1
## 728           0     141            84            26       0 32.4
## 729           2     175            88             0       0 22.9
## 730           2      92            52             0       0 30.1
## 731           3     130            78            23      79 28.4
## 732           8     120            86             0       0 28.4
## 733           2     174            88            37     120 44.5
## 734           2     106            56            27     165 29.0
## 735           2     105            75             0       0 23.3
## 736           4      95            60            32       0 35.4
## 737           0     126            86            27     120 27.4
## 738           8      65            72            23       0 32.0
## 739           2      99            60            17     160 36.6
## 740           1     102            74             0       0 39.5
## 741          11     120            80            37     150 42.3
## 742           3     102            44            20      94 30.8
## 743           1     109            58            18     116 28.5
## 744           9     140            94             0       0 32.7
## 745          13     153            88            37     140 40.6
## 746          12     100            84            33     105 30.0
## 747           1     147            94            41       0 49.3
## 748           1      81            74            41      57 46.3
## 749           3     187            70            22     200 36.4
## 750           6     162            62             0       0 24.3
## 751           4     136            70             0       0 31.2
## 752           1     121            78            39      74 39.0
## 753           3     108            62            24       0 26.0
## 754           0     181            88            44     300 43.3
## 755           8     154            78            32       0 32.4
## 756           1     128            88            39     110 36.5
## 757           7     137            90            41       0 32.0
## 758           0     123            72             0       0 36.3
## 759           1     106            76             0       0 37.5
## 760           6     190            92             0       0 35.5
## 761           2      88            58            26      16 28.4
## 762           9     170            74            31       0 44.0
## 763           9      89            62             0       0 22.5
## 764          10     101            76            48     180 32.9
## 765           2     122            70            27       0 36.8
## 766           5     121            72            23     112 26.2
## 767           1     126            60             0       0 30.1
## 768           1      93            70            31       0 30.4
##     DiabetesPedigreeFunction Age Outcome
## 1                      0.627  50       1
## 2                      0.351  31       0
## 3                      0.672  32       1
## 4                      0.167  21       0
## 5                      2.288  33       1
## 6                      0.201  30       0
## 7                      0.248  26       1
## 8                      0.134  29       0
## 9                      0.158  53       1
## 10                     0.232  54       1
## 11                     0.191  30       0
## 12                     0.537  34       1
## 13                     1.441  57       0
## 14                     0.398  59       1
## 15                     0.587  51       1
## 16                     0.484  32       1
## 17                     0.551  31       1
## 18                     0.254  31       1
## 19                     0.183  33       0
## 20                     0.529  32       1
## 21                     0.704  27       0
## 22                     0.388  50       0
## 23                     0.451  41       1
## 24                     0.263  29       1
## 25                     0.254  51       1
## 26                     0.205  41       1
## 27                     0.257  43       1
## 28                     0.487  22       0
## 29                     0.245  57       0
## 30                     0.337  38       0
## 31                     0.546  60       0
## 32                     0.851  28       1
## 33                     0.267  22       0
## 34                     0.188  28       0
## 35                     0.512  45       0
## 36                     0.966  33       0
## 37                     0.420  35       0
## 38                     0.665  46       1
## 39                     0.503  27       1
## 40                     1.390  56       1
## 41                     0.271  26       0
## 42                     0.696  37       0
## 43                     0.235  48       0
## 44                     0.721  54       1
## 45                     0.294  40       0
## 46                     1.893  25       1
## 47                     0.564  29       0
## 48                     0.586  22       0
## 49                     0.344  31       1
## 50                     0.305  24       0
## 51                     0.491  22       0
## 52                     0.526  26       0
## 53                     0.342  30       0
## 54                     0.467  58       1
## 55                     0.718  42       0
## 56                     0.248  21       0
## 57                     0.254  41       1
## 58                     0.962  31       0
## 59                     1.781  44       0
## 60                     0.173  22       0
## 61                     0.304  21       0
## 62                     0.270  39       1
## 63                     0.587  36       0
## 64                     0.699  24       0
## 65                     0.258  42       1
## 66                     0.203  32       0
## 67                     0.855  38       1
## 68                     0.845  54       0
## 69                     0.334  25       0
## 70                     0.189  27       0
## 71                     0.867  28       1
## 72                     0.411  26       0
## 73                     0.583  42       1
## 74                     0.231  23       0
## 75                     0.396  22       0
## 76                     0.140  22       0
## 77                     0.391  41       0
## 78                     0.370  27       0
## 79                     0.270  26       1
## 80                     0.307  24       0
## 81                     0.140  22       0
## 82                     0.102  22       0
## 83                     0.767  36       0
## 84                     0.237  22       0
## 85                     0.227  37       1
## 86                     0.698  27       0
## 87                     0.178  45       0
## 88                     0.324  26       0
## 89                     0.153  43       1
## 90                     0.165  24       0
## 91                     0.258  21       0
## 92                     0.443  34       0
## 93                     0.261  42       0
## 94                     0.277  60       1
## 95                     0.761  21       0
## 96                     0.255  40       0
## 97                     0.130  24       0
## 98                     0.323  22       0
## 99                     0.356  23       0
## 100                    0.325  31       1
## 101                    1.222  33       1
## 102                    0.179  22       0
## 103                    0.262  21       0
## 104                    0.283  24       0
## 105                    0.930  27       0
## 106                    0.801  21       0
## 107                    0.207  27       0
## 108                    0.287  37       0
## 109                    0.336  25       0
## 110                    0.247  24       1
## 111                    0.199  24       1
## 112                    0.543  46       1
## 113                    0.192  23       0
## 114                    0.391  25       0
## 115                    0.588  39       1
## 116                    0.539  61       1
## 117                    0.220  38       1
## 118                    0.654  25       0
## 119                    0.443  22       0
## 120                    0.223  21       0
## 121                    0.759  25       1
## 122                    0.260  24       0
## 123                    0.404  23       0
## 124                    0.186  69       0
## 125                    0.278  23       1
## 126                    0.496  26       1
## 127                    0.452  30       0
## 128                    0.261  23       0
## 129                    0.403  40       1
## 130                    0.741  62       1
## 131                    0.361  33       1
## 132                    1.114  33       1
## 133                    0.356  30       1
## 134                    0.457  39       0
## 135                    0.647  26       0
## 136                    0.088  31       0
## 137                    0.597  21       0
## 138                    0.532  22       0
## 139                    0.703  29       0
## 140                    0.159  28       0
## 141                    0.268  55       0
## 142                    0.286  38       0
## 143                    0.318  22       0
## 144                    0.272  42       1
## 145                    0.237  23       0
## 146                    0.572  21       0
## 147                    0.096  41       0
## 148                    1.400  34       0
## 149                    0.218  65       0
## 150                    0.085  22       0
## 151                    0.399  24       0
## 152                    0.432  37       0
## 153                    1.189  42       1
## 154                    0.687  23       0
## 155                    0.137  43       1
## 156                    0.337  36       1
## 157                    0.637  21       0
## 158                    0.833  23       0
## 159                    0.229  22       0
## 160                    0.817  47       1
## 161                    0.294  36       0
## 162                    0.204  45       0
## 163                    0.167  27       0
## 164                    0.368  21       0
## 165                    0.743  32       1
## 166                    0.722  41       1
## 167                    0.256  22       0
## 168                    0.709  34       0
## 169                    0.471  29       0
## 170                    0.495  29       0
## 171                    0.180  36       1
## 172                    0.542  29       1
## 173                    0.773  25       0
## 174                    0.678  23       0
## 175                    0.370  33       0
## 176                    0.719  36       1
## 177                    0.382  42       0
## 178                    0.319  26       1
## 179                    0.190  47       0
## 180                    0.956  37       1
## 181                    0.084  32       0
## 182                    0.725  23       0
## 183                    0.299  21       0
## 184                    0.268  27       0
## 185                    0.244  40       0
## 186                    0.745  41       1
## 187                    0.615  60       1
## 188                    1.321  33       1
## 189                    0.640  31       1
## 190                    0.361  25       1
## 191                    0.142  21       0
## 192                    0.374  40       0
## 193                    0.383  36       1
## 194                    0.578  40       1
## 195                    0.136  42       0
## 196                    0.395  29       1
## 197                    0.187  21       0
## 198                    0.678  23       1
## 199                    0.905  26       1
## 200                    0.150  29       1
## 201                    0.874  21       0
## 202                    0.236  28       0
## 203                    0.787  32       0
## 204                    0.235  27       0
## 205                    0.324  55       0
## 206                    0.407  27       0
## 207                    0.605  57       1
## 208                    0.151  52       1
## 209                    0.289  21       0
## 210                    0.355  41       1
## 211                    0.290  25       0
## 212                    0.375  24       0
## 213                    0.164  60       0
## 214                    0.431  24       1
## 215                    0.260  36       1
## 216                    0.742  38       1
## 217                    0.514  25       1
## 218                    0.464  32       0
## 219                    1.224  32       1
## 220                    0.261  41       1
## 221                    1.072  21       1
## 222                    0.805  66       1
## 223                    0.209  37       0
## 224                    0.687  61       0
## 225                    0.666  26       0
## 226                    0.101  22       0
## 227                    0.198  26       0
## 228                    0.652  24       1
## 229                    2.329  31       0
## 230                    0.089  24       0
## 231                    0.645  22       1
## 232                    0.238  46       1
## 233                    0.583  22       0
## 234                    0.394  29       0
## 235                    0.293  23       0
## 236                    0.479  26       1
## 237                    0.586  51       1
## 238                    0.686  23       1
## 239                    0.831  32       1
## 240                    0.582  27       0
## 241                    0.192  21       0
## 242                    0.446  22       0
## 243                    0.402  22       1
## 244                    1.318  33       1
## 245                    0.329  29       0
## 246                    1.213  49       1
## 247                    0.258  41       0
## 248                    0.427  23       0
## 249                    0.282  34       0
## 250                    0.143  23       0
## 251                    0.380  42       0
## 252                    0.284  27       0
## 253                    0.249  24       0
## 254                    0.238  25       0
## 255                    0.926  44       1
## 256                    0.543  21       1
## 257                    0.557  30       0
## 258                    0.092  25       0
## 259                    0.655  24       0
## 260                    1.353  51       1
## 261                    0.299  34       0
## 262                    0.761  27       1
## 263                    0.612  24       0
## 264                    0.200  63       0
## 265                    0.226  35       1
## 266                    0.997  43       0
## 267                    0.933  25       1
## 268                    1.101  24       0
## 269                    0.078  21       0
## 270                    0.240  28       1
## 271                    1.136  38       1
## 272                    0.128  21       0
## 273                    0.254  40       0
## 274                    0.422  21       0
## 275                    0.251  52       0
## 276                    0.677  25       0
## 277                    0.296  29       1
## 278                    0.454  23       0
## 279                    0.744  57       0
## 280                    0.881  22       0
## 281                    0.334  28       1
## 282                    0.280  39       0
## 283                    0.262  37       0
## 284                    0.165  47       1
## 285                    0.259  52       1
## 286                    0.647  51       0
## 287                    0.619  34       0
## 288                    0.808  29       1
## 289                    0.340  26       0
## 290                    0.263  33       0
## 291                    0.434  21       0
## 292                    0.757  25       1
## 293                    1.224  31       1
## 294                    0.613  24       1
## 295                    0.254  65       0
## 296                    0.692  28       0
## 297                    0.337  29       1
## 298                    0.520  24       0
## 299                    0.412  46       1
## 300                    0.840  58       0
## 301                    0.839  30       1
## 302                    0.422  25       1
## 303                    0.156  35       0
## 304                    0.209  28       1
## 305                    0.207  37       0
## 306                    0.215  29       0
## 307                    0.326  47       1
## 308                    0.143  21       0
## 309                    1.391  25       1
## 310                    0.875  30       1
## 311                    0.313  41       0
## 312                    0.605  22       0
## 313                    0.433  27       1
## 314                    0.626  25       0
## 315                    1.127  43       1
## 316                    0.315  26       0
## 317                    0.284  30       0
## 318                    0.345  29       1
## 319                    0.150  28       0
## 320                    0.129  59       1
## 321                    0.527  31       0
## 322                    0.197  25       1
## 323                    0.254  36       1
## 324                    0.731  43       1
## 325                    0.148  21       0
## 326                    0.123  24       0
## 327                    0.692  30       1
## 328                    0.200  37       0
## 329                    0.127  23       1
## 330                    0.122  37       0
## 331                    1.476  46       0
## 332                    0.166  25       0
## 333                    0.282  41       1
## 334                    0.137  44       0
## 335                    0.260  22       0
## 336                    0.259  26       0
## 337                    0.932  44       0
## 338                    0.343  44       1
## 339                    0.893  33       1
## 340                    0.331  41       1
## 341                    0.472  22       0
## 342                    0.673  36       0
## 343                    0.389  22       0
## 344                    0.290  33       0
## 345                    0.485  57       0
## 346                    0.349  49       0
## 347                    0.654  22       0
## 348                    0.187  23       0
## 349                    0.279  26       0
## 350                    0.346  37       1
## 351                    0.237  29       0
## 352                    0.252  30       0
## 353                    0.243  46       0
## 354                    0.580  24       0
## 355                    0.559  21       0
## 356                    0.302  49       1
## 357                    0.962  28       1
## 358                    0.569  44       1
## 359                    0.378  48       0
## 360                    0.875  29       1
## 361                    0.583  29       1
## 362                    0.207  63       0
## 363                    0.305  65       0
## 364                    0.520  67       1
## 365                    0.385  30       0
## 366                    0.499  30       0
## 367                    0.368  29       1
## 368                    0.252  21       0
## 369                    0.306  22       0
## 370                    0.234  45       1
## 371                    2.137  25       1
## 372                    1.731  21       0
## 373                    0.545  21       0
## 374                    0.225  25       0
## 375                    0.816  28       0
## 376                    0.528  58       1
## 377                    0.299  22       0
## 378                    0.509  22       0
## 379                    0.238  32       1
## 380                    1.021  35       0
## 381                    0.821  24       0
## 382                    0.236  22       0
## 383                    0.947  21       0
## 384                    1.268  25       0
## 385                    0.221  25       0
## 386                    0.205  24       0
## 387                    0.660  35       1
## 388                    0.239  45       1
## 389                    0.452  58       1
## 390                    0.949  28       0
## 391                    0.444  42       0
## 392                    0.340  27       1
## 393                    0.389  21       0
## 394                    0.463  37       0
## 395                    0.803  31       1
## 396                    1.600  25       0
## 397                    0.944  39       0
## 398                    0.196  22       1
## 399                    0.389  25       0
## 400                    0.241  25       1
## 401                    0.161  31       1
## 402                    0.151  55       0
## 403                    0.286  35       1
## 404                    0.280  38       0
## 405                    0.135  41       1
## 406                    0.520  26       0
## 407                    0.376  46       1
## 408                    0.336  25       0
## 409                    1.191  39       1
## 410                    0.702  28       1
## 411                    0.674  28       0
## 412                    0.528  25       0
## 413                    1.076  22       0
## 414                    0.256  21       0
## 415                    0.534  21       1
## 416                    0.258  22       1
## 417                    1.095  22       0
## 418                    0.554  37       1
## 419                    0.624  27       0
## 420                    0.219  28       1
## 421                    0.507  26       0
## 422                    0.561  21       0
## 423                    0.496  21       0
## 424                    0.421  21       0
## 425                    0.516  36       1
## 426                    0.264  31       1
## 427                    0.256  25       0
## 428                    0.328  38       1
## 429                    0.284  26       0
## 430                    0.233  43       1
## 431                    0.108  23       0
## 432                    0.551  38       0
## 433                    0.527  22       0
## 434                    0.167  29       0
## 435                    1.138  36       0
## 436                    0.205  29       1
## 437                    0.244  41       0
## 438                    0.434  28       0
## 439                    0.147  21       0
## 440                    0.727  31       0
## 441                    0.435  41       1
## 442                    0.497  22       0
## 443                    0.230  24       0
## 444                    0.955  33       1
## 445                    0.380  30       1
## 446                    2.420  25       1
## 447                    0.658  28       0
## 448                    0.330  26       0
## 449                    0.510  22       1
## 450                    0.285  26       0
## 451                    0.415  23       0
## 452                    0.542  23       1
## 453                    0.381  25       0
## 454                    0.832  72       0
## 455                    0.498  24       0
## 456                    0.212  38       1
## 457                    0.687  62       0
## 458                    0.364  24       0
## 459                    1.001  51       1
## 460                    0.460  81       0
## 461                    0.733  48       0
## 462                    0.416  26       0
## 463                    0.705  39       0
## 464                    0.258  37       0
## 465                    1.022  34       0
## 466                    0.452  21       0
## 467                    0.269  22       0
## 468                    0.600  25       0
## 469                    0.183  38       1
## 470                    0.571  27       0
## 471                    0.607  28       0
## 472                    0.170  22       0
## 473                    0.259  22       0
## 474                    0.210  50       0
## 475                    0.126  24       0
## 476                    0.231  59       0
## 477                    0.711  29       1
## 478                    0.466  31       0
## 479                    0.162  39       0
## 480                    0.419  63       0
## 481                    0.344  35       1
## 482                    0.197  29       0
## 483                    0.306  28       0
## 484                    0.233  23       0
## 485                    0.630  31       1
## 486                    0.365  24       1
## 487                    0.536  21       0
## 488                    1.159  58       0
## 489                    0.294  28       0
## 490                    0.551  67       0
## 491                    0.629  24       0
## 492                    0.292  42       0
## 493                    0.145  33       0
## 494                    1.144  45       1
## 495                    0.174  22       0
## 496                    0.304  66       0
## 497                    0.292  30       0
## 498                    0.547  25       0
## 499                    0.163  55       1
## 500                    0.839  39       0
## 501                    0.313  21       0
## 502                    0.267  28       0
## 503                    0.727  41       1
## 504                    0.738  41       0
## 505                    0.238  40       0
## 506                    0.263  38       0
## 507                    0.314  35       1
## 508                    0.692  21       0
## 509                    0.968  21       0
## 510                    0.409  64       0
## 511                    0.297  46       1
## 512                    0.207  21       0
## 513                    0.200  58       0
## 514                    0.525  22       0
## 515                    0.154  24       0
## 516                    0.268  28       1
## 517                    0.771  53       1
## 518                    0.304  51       0
## 519                    0.180  41       0
## 520                    0.582  60       0
## 521                    0.187  25       0
## 522                    0.305  26       0
## 523                    0.189  26       0
## 524                    0.652  45       1
## 525                    0.151  24       0
## 526                    0.444  21       0
## 527                    0.299  21       0
## 528                    0.107  24       0
## 529                    0.493  22       0
## 530                    0.660  31       0
## 531                    0.717  22       0
## 532                    0.686  24       0
## 533                    0.917  29       0
## 534                    0.501  31       0
## 535                    1.251  24       0
## 536                    0.302  23       1
## 537                    0.197  46       0
## 538                    0.735  67       0
## 539                    0.804  23       0
## 540                    0.968  32       1
## 541                    0.661  43       1
## 542                    0.549  27       1
## 543                    0.825  56       1
## 544                    0.159  25       0
## 545                    0.365  29       0
## 546                    0.423  37       1
## 547                    1.034  53       1
## 548                    0.160  28       0
## 549                    0.341  50       0
## 550                    0.680  37       0
## 551                    0.204  21       0
## 552                    0.591  25       0
## 553                    0.247  66       0
## 554                    0.422  23       0
## 555                    0.471  28       0
## 556                    0.161  37       0
## 557                    0.218  30       0
## 558                    0.237  58       0
## 559                    0.126  42       0
## 560                    0.300  35       0
## 561                    0.121  54       1
## 562                    0.502  28       1
## 563                    0.401  24       0
## 564                    0.497  32       0
## 565                    0.601  27       0
## 566                    0.748  22       0
## 567                    0.412  21       0
## 568                    0.085  46       0
## 569                    0.338  37       0
## 570                    0.203  33       1
## 571                    0.270  39       0
## 572                    0.268  21       0
## 573                    0.430  22       0
## 574                    0.198  22       0
## 575                    0.892  23       0
## 576                    0.280  25       0
## 577                    0.813  35       0
## 578                    0.693  21       1
## 579                    0.245  36       0
## 580                    0.575  62       1
## 581                    0.371  21       1
## 582                    0.206  27       0
## 583                    0.259  62       0
## 584                    0.190  42       0
## 585                    0.687  52       1
## 586                    0.417  22       0
## 587                    0.129  41       1
## 588                    0.249  29       0
## 589                    1.154  52       1
## 590                    0.342  25       0
## 591                    0.925  45       1
## 592                    0.175  24       0
## 593                    0.402  44       1
## 594                    1.699  25       0
## 595                    0.733  34       0
## 596                    0.682  22       1
## 597                    0.194  46       0
## 598                    0.559  21       0
## 599                    0.088  38       1
## 600                    0.407  26       0
## 601                    0.400  24       0
## 602                    0.190  28       0
## 603                    0.100  30       0
## 604                    0.692  54       1
## 605                    0.212  36       1
## 606                    0.514  21       0
## 607                    1.258  22       1
## 608                    0.482  25       0
## 609                    0.270  27       0
## 610                    0.138  23       0
## 611                    0.292  24       0
## 612                    0.593  36       1
## 613                    0.787  40       1
## 614                    0.878  26       0
## 615                    0.557  50       1
## 616                    0.207  27       0
## 617                    0.157  30       0
## 618                    0.257  23       0
## 619                    1.282  50       1
## 620                    0.141  24       1
## 621                    0.246  28       0
## 622                    1.698  28       0
## 623                    1.461  45       0
## 624                    0.347  21       0
## 625                    0.158  21       0
## 626                    0.362  29       0
## 627                    0.206  21       0
## 628                    0.393  21       0
## 629                    0.144  45       0
## 630                    0.148  21       0
## 631                    0.732  34       1
## 632                    0.238  24       0
## 633                    0.343  23       0
## 634                    0.115  22       0
## 635                    0.167  31       0
## 636                    0.465  38       1
## 637                    0.153  48       0
## 638                    0.649  23       0
## 639                    0.871  32       1
## 640                    0.149  28       0
## 641                    0.695  27       0
## 642                    0.303  24       0
## 643                    0.178  50       1
## 644                    0.610  31       0
## 645                    0.730  27       0
## 646                    0.134  30       0
## 647                    0.447  33       1
## 648                    0.455  22       1
## 649                    0.260  42       1
## 650                    0.133  23       0
## 651                    0.234  23       0
## 652                    0.466  27       0
## 653                    0.269  28       0
## 654                    0.455  27       0
## 655                    0.142  22       0
## 656                    0.240  25       1
## 657                    0.155  22       0
## 658                    1.162  41       0
## 659                    0.190  51       0
## 660                    1.292  27       1
## 661                    0.182  54       0
## 662                    1.394  22       1
## 663                    0.165  43       1
## 664                    0.637  40       1
## 665                    0.245  40       1
## 666                    0.217  24       0
## 667                    0.235  70       1
## 668                    0.141  40       1
## 669                    0.430  43       0
## 670                    0.164  45       0
## 671                    0.631  49       0
## 672                    0.551  21       0
## 673                    0.285  47       0
## 674                    0.880  22       0
## 675                    0.587  68       0
## 676                    0.328  31       1
## 677                    0.230  53       1
## 678                    0.263  25       0
## 679                    0.127  25       1
## 680                    0.614  23       0
## 681                    0.332  22       0
## 682                    0.364  26       1
## 683                    0.366  22       0
## 684                    0.536  27       1
## 685                    0.640  69       0
## 686                    0.591  25       0
## 687                    0.314  22       0
## 688                    0.181  29       0
## 689                    0.828  23       0
## 690                    0.335  46       1
## 691                    0.856  34       0
## 692                    0.257  44       1
## 693                    0.886  23       0
## 694                    0.439  43       1
## 695                    0.191  25       0
## 696                    0.128  43       1
## 697                    0.268  31       1
## 698                    0.253  22       0
## 699                    0.598  28       0
## 700                    0.904  26       0
## 701                    0.483  26       0
## 702                    0.565  49       1
## 703                    0.905  52       1
## 704                    0.304  41       0
## 705                    0.118  27       0
## 706                    0.177  28       0
## 707                    0.261  30       1
## 708                    0.176  22       0
## 709                    0.148  45       1
## 710                    0.674  23       1
## 711                    0.295  24       0
## 712                    0.439  40       0
## 713                    0.441  38       1
## 714                    0.352  21       0
## 715                    0.121  32       0
## 716                    0.826  34       1
## 717                    0.970  31       1
## 718                    0.595  56       0
## 719                    0.415  24       0
## 720                    0.378  52       1
## 721                    0.317  34       0
## 722                    0.289  21       0
## 723                    0.349  42       1
## 724                    0.251  42       0
## 725                    0.265  45       0
## 726                    0.236  38       0
## 727                    0.496  25       0
## 728                    0.433  22       0
## 729                    0.326  22       0
## 730                    0.141  22       0
## 731                    0.323  34       1
## 732                    0.259  22       1
## 733                    0.646  24       1
## 734                    0.426  22       0
## 735                    0.560  53       0
## 736                    0.284  28       0
## 737                    0.515  21       0
## 738                    0.600  42       0
## 739                    0.453  21       0
## 740                    0.293  42       1
## 741                    0.785  48       1
## 742                    0.400  26       0
## 743                    0.219  22       0
## 744                    0.734  45       1
## 745                    1.174  39       0
## 746                    0.488  46       0
## 747                    0.358  27       1
## 748                    1.096  32       0
## 749                    0.408  36       1
## 750                    0.178  50       1
## 751                    1.182  22       1
## 752                    0.261  28       0
## 753                    0.223  25       0
## 754                    0.222  26       1
## 755                    0.443  45       1
## 756                    1.057  37       1
## 757                    0.391  39       0
## 758                    0.258  52       1
## 759                    0.197  26       0
## 760                    0.278  66       1
## 761                    0.766  22       0
## 762                    0.403  43       1
## 763                    0.142  33       0
## 764                    0.171  63       0
## 765                    0.340  27       0
## 766                    0.245  30       0
## 767                    0.349  47       1
## 768                    0.315  23       0
cor_matrix <- cor(numeric_data, use = "complete.obs") 
cor_matrix
##                          Pregnancies    Glucose BloodPressure SkinThickness
## Pregnancies               1.00000000 0.12945867    0.14128198   -0.08167177
## Glucose                   0.12945867 1.00000000    0.15258959    0.05732789
## BloodPressure             0.14128198 0.15258959    1.00000000    0.20737054
## SkinThickness            -0.08167177 0.05732789    0.20737054    1.00000000
## Insulin                  -0.07823754 0.31048270    0.10225530    0.48823294
## BMI                       0.01768309 0.22107107    0.28180529    0.39257320
## DiabetesPedigreeFunction -0.03352267 0.13733730    0.04126495    0.18392757
## Age                       0.54434123 0.26351432    0.23952795   -0.11397026
## Outcome                   0.22189815 0.46658140    0.06506836    0.07475223
##                              Insulin        BMI DiabetesPedigreeFunction
## Pregnancies              -0.07823754 0.01768309              -0.03352267
## Glucose                   0.31048270 0.22107107               0.13733730
## BloodPressure             0.10225530 0.28180529               0.04126495
## SkinThickness             0.48823294 0.39257320               0.18392757
## Insulin                   1.00000000 0.20909688               0.18734209
## BMI                       0.20909688 1.00000000               0.14064695
## DiabetesPedigreeFunction  0.18734209 0.14064695               1.00000000
## Age                      -0.06880310 0.03624187               0.03356131
## Outcome                   0.12346817 0.29269466               0.17384407
##                                  Age    Outcome
## Pregnancies               0.54434123 0.22189815
## Glucose                   0.26351432 0.46658140
## BloodPressure             0.23952795 0.06506836
## SkinThickness            -0.11397026 0.07475223
## Insulin                  -0.06880310 0.12346817
## BMI                       0.03624187 0.29269466
## DiabetesPedigreeFunction  0.03356131 0.17384407
## Age                       1.00000000 0.23835598
## Outcome                   0.23835598 1.00000000
corrplot(cor_matrix, method = "color", 
         type = "upper", 
        col=colorRampPalette(c("blue","white","red"))(200),
        addCoef.col = "black",
         tl.col = "black",
        number.cex = 0.7,
        tl.srt = 45
        )

###Conclusion

The following steps should be taken to help reduce or monitor diabetes: