Build and deploy a stroke prediction model using R
Jason Bradley
2025-08-13
About Data Analysis Report
This RMarkdown file contains the report of the data analysis done for the project on building and deploying a stroke prediction model in R. It contains analysis such as data exploration, summary statistics and building the prediction models. The final report was completed on Wed Aug 13 14:15:12 2025.
Data Description:
According to the World Health Organization (WHO) stroke is the 2nd leading cause of death globally, responsible for approximately 11% of total deaths.
This data set is used to predict whether a patient is likely to get stroke based on the input parameters like gender, age, various diseases, and smoking status. Each row in the data provides relevant information about the patient.
Task One: Import data and data preprocessing
Load data and install packages
# clear out any pre-existing variables or data
rm(list=ls())
getwd()## [1] "C:/Users/black/Downloads/stroke-prediction"#load dataset
healthcare_dataset_stroke_data <- read.csv("healthcare-dataset-stroke-data.csv")
View(healthcare_dataset_stroke_data)
# load the relevant tidymodels libraries
options(repos = c(CRAN = "https://cloud.r-project.org"))
install.packages(c("tidymodels","xgboost","caret","pROC"))## Installing packages into 'C:/Users/black/AppData/Local/R/win-library/4.5'
## (as 'lib' is unspecified)## package 'tidymodels' successfully unpacked and MD5 sums checked
## package 'xgboost' successfully unpacked and MD5 sums checked## Warning: cannot remove prior installation of package 'xgboost'## Warning in file.copy(savedcopy, lib, recursive = TRUE): problem copying
## C:\Users\black\AppData\Local\R\win-library\4.5\00LOCK\xgboost\libs\x64\xgboost.dll
## to C:\Users\black\AppData\Local\R\win-library\4.5\xgboost\libs\x64\xgboost.dll:
## Permission denied## Warning: restored 'xgboost'## package 'caret' successfully unpacked and MD5 sums checked## Warning: cannot remove prior installation of package 'caret'## Warning in file.copy(savedcopy, lib, recursive = TRUE): problem copying
## C:\Users\black\AppData\Local\R\win-library\4.5\00LOCK\caret\libs\x64\caret.dll
## to C:\Users\black\AppData\Local\R\win-library\4.5\caret\libs\x64\caret.dll:
## Permission denied## Warning: restored 'caret'## package 'pROC' successfully unpacked and MD5 sums checked## Warning: cannot remove prior installation of package 'pROC'## Warning in file.copy(savedcopy, lib, recursive = TRUE): problem copying
## C:\Users\black\AppData\Local\R\win-library\4.5\00LOCK\pROC\libs\x64\pROC.dll to
## C:\Users\black\AppData\Local\R\win-library\4.5\pROC\libs\x64\pROC.dll:
## Permission denied## Warning: restored 'pROC'##
## The downloaded binary packages are in
## C:\Users\black\AppData\Local\Temp\Rtmp4GOw48\downloaded_packagesinstall.packages("dplyr")## Installing package into 'C:/Users/black/AppData/Local/R/win-library/4.5'
## (as 'lib' is unspecified)## package 'dplyr' successfully unpacked and MD5 sums checked## Warning: cannot remove prior installation of package 'dplyr'## Warning in file.copy(savedcopy, lib, recursive = TRUE): problem copying
## C:\Users\black\AppData\Local\R\win-library\4.5\00LOCK\dplyr\libs\x64\dplyr.dll
## to C:\Users\black\AppData\Local\R\win-library\4.5\dplyr\libs\x64\dplyr.dll:
## Permission denied## Warning: restored 'dplyr'##
## The downloaded binary packages are in
## C:\Users\black\AppData\Local\Temp\Rtmp4GOw48\downloaded_packageslibrary(tidymodels)## Warning: package 'tidymodels' was built under R version 4.5.1## ── Attaching packages ────────────────────────────────────── tidymodels 1.3.0 ──## ✔ broom 1.0.8 ✔ recipes 1.3.1
## ✔ dials 1.4.1 ✔ rsample 1.3.0
## ✔ dplyr 1.1.4 ✔ tibble 3.3.0
## ✔ ggplot2 3.5.2 ✔ tidyr 1.3.1
## ✔ infer 1.0.9 ✔ tune 1.3.0
## ✔ modeldata 1.5.0 ✔ workflows 1.2.0
## ✔ parsnip 1.3.2 ✔ workflowsets 1.1.1
## ✔ purrr 1.0.4 ✔ yardstick 1.3.2## Warning: package 'broom' was built under R version 4.5.1## Warning: package 'dials' was built under R version 4.5.1## Warning: package 'dplyr' was built under R version 4.5.1## Warning: package 'infer' was built under R version 4.5.1## Warning: package 'modeldata' was built under R version 4.5.1## Warning: package 'parsnip' was built under R version 4.5.1## Warning: package 'tune' was built under R version 4.5.1## Warning: package 'workflows' was built under R version 4.5.1## Warning: package 'workflowsets' was built under R version 4.5.1## Warning: package 'yardstick' was built under R version 4.5.1## ── Conflicts ───────────────────────────────────────── tidymodels_conflicts() ──
## ✖ purrr::discard() masks scales::discard()
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
## ✖ recipes::step() masks stats::step()library(tidyverse)## Warning: package 'tidyverse' was built under R version 4.5.1## Warning: package 'readr' was built under R version 4.5.1## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ forcats 1.0.0 ✔ readr 2.1.5
## ✔ lubridate 1.9.4 ✔ stringr 1.5.1## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ readr::col_factor() masks scales::col_factor()
## ✖ purrr::discard() masks scales::discard()
## ✖ dplyr::filter() masks stats::filter()
## ✖ stringr::fixed() masks recipes::fixed()
## ✖ dplyr::lag() masks stats::lag()
## ✖ readr::spec() masks yardstick::spec()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errorslibrary(workflows)
library(tune)
library(dplyr)
library(stringr)
library(xgboost)## Warning: package 'xgboost' was built under R version 4.5.1##
## Attaching package: 'xgboost'
##
## The following object is masked from 'package:dplyr':
##
## slicelibrary(caret)## Warning: package 'caret' was built under R version 4.5.1## Loading required package: lattice
##
## Attaching package: 'caret'
##
## The following objects are masked from 'package:yardstick':
##
## precision, recall, sensitivity, specificity
##
## The following object is masked from 'package:purrr':
##
## liftlibrary(pROC)## Warning: package 'pROC' was built under R version 4.5.1## Type 'citation("pROC")' for a citation.
##
## Attaching package: 'pROC'
##
## The following objects are masked from 'package:stats':
##
## cov, smooth, varDescribe and explore the data
# Check structure and missing values
str(healthcare_dataset_stroke_data)## 'data.frame': 5110 obs. of 12 variables:
## $ id : int 9046 51676 31112 60182 1665 56669 53882 10434 27419 60491 ...
## $ gender : chr "Male" "Female" "Male" "Female" ...
## $ age : num 67 61 80 49 79 81 74 69 59 78 ...
## $ hypertension : int 0 0 0 0 1 0 1 0 0 0 ...
## $ heart_disease : int 1 0 1 0 0 0 1 0 0 0 ...
## $ ever_married : chr "Yes" "Yes" "Yes" "Yes" ...
## $ work_type : chr "Private" "Self-employed" "Private" "Private" ...
## $ Residence_type : chr "Urban" "Rural" "Rural" "Urban" ...
## $ avg_glucose_level: num 229 202 106 171 174 ...
## $ bmi : chr "36.6" "N/A" "32.5" "34.4" ...
## $ smoking_status : chr "formerly smoked" "never smoked" "never smoked" "smokes" ...
## $ stroke : int 1 1 1 1 1 1 1 1 1 1 ...colSums(is.na(healthcare_dataset_stroke_data))## id gender age hypertension
## 0 0 0 0
## heart_disease ever_married work_type Residence_type
## 0 0 0 0
## avg_glucose_level bmi smoking_status stroke
## 0 0 0 0# Check the initial class of 'my_column'
class(healthcare_dataset_stroke_data$bmi)## [1] "character"# find unique values for each data frame
class(healthcare_dataset_stroke_data$id)## [1] "integer"unique(healthcare_dataset_stroke_data$id)## [1] 9046 51676 31112 60182 1665 56669 53882 10434 27419 60491 12109 12095
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## [2473] 36547 559 13728 4400 68524 24096 65643 30186 11904 20257 2822 18072
## [2485] 34896 53328 28303 44325 8579 29229 48406 3761 65324 7658 35997 34383
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## [2533] 20112 45627 4174 31660 36196 19769 8341 42172 14372 61252 15251 67800
## [2545] 10416 19504 7476 55526 452 55790 38541 23748 18790 45751 72369 7171
## [2557] 52826 42556 507 56746 54072 49760 61821 65481 6174 68224 61559 65564
## [2569] 18890 58936 67667 68138 50363 4740 39683 49903 63457 18595 64912 68382
## [2581] 69510 29872 1924 67243 3494 37307 41175 48303 31473 31402 18996 2573
## [2593] 60683 70537 63193 12228 58107 28647 57086 5505 44112 56645 16652 32445
## [2605] 18752 35152 70081 72340 67112 42323 35022 21625 49972 44142 364 59669
## [2617] 69900 12753 10273 30824 587 55856 47196 67724 23488 2849 12134 24058
## [2629] 15117 72915 61836 13116 48146 72819 20070 8778 13764 2005 8616 51524
## [2641] 50541 21971 32183 30145 30482 30790 63337 66264 641 42412 65693 3746
## [2653] 71304 34935 29173 26474 56857 13529 61979 70886 27693 59762 57308 3701
## [2665] 61339 24965 33952 39042 43039 59915 4727 16481 15018 49702 48017 15313
## [2677] 22231 45461 30678 57904 67483 5646 67911 16856 37972 62414 50485 47405
## [2689] 70928 4679 15070 25625 35123 20165 41730 38761 4797 19199 30402 25088
## [2701] 54756 19590 23332 16971 11727 60255 38796 46498 41042 35069 61103 25095
## [2713] 55607 63029 2919 60003 46256 23659 2952 49229 2457 23508 28364 31360
## [2725] 19335 40390 63936 24832 25219 42393 17951 17443 52242 45931 7828 21547
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## [2749] 21517 29789 52207 19209 42041 58153 27717 35106 47730 20657 63411 18671
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## [2797] 62814 7665 28108 50536 8655 760 47501 16863 51342 35759 17270 53862
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## [2821] 33085 13386 15601 22254 15539 58235 21162 67880 42545 48359 54815 6233
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## [2857] 58833 4309 55462 51746 59335 65644 52790 42681 33697 51963 13375 37526
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## [2893] 33876 52164 32446 56855 43837 5477 64974 33976 31019 4699 60276 24420
## [2905] 28478 63236 6324 62059 28400 5841 5681 16587 3477 23890 3803 34068
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## [2953] 53632 32202 52489 13374 66370 259 12092 38263 1666 48922 58061 50283
## [2965] 26605 10396 14695 2579 71061 41250 53923 54139 32430 14928 32457 59718
## [2977] 4948 40870 2218 57494 1534 69329 39852 65358 36488 55567 33562 20006
## [2989] 47696 60117 5032 5780 52236 59752 47005 4750 65127 4498 32203 27436
## [3001] 34999 4213 71669 36803 17725 57983 68089 3135 563 19364 34590 55459
## [3013] 38724 52968 35716 51421 72525 33009 35437 37253 46171 18143 35330 32127
## [3025] 69834 56311 13439 36366 13111 28932 67521 65688 58761 21192 72348 1825
## [3037] 25674 33035 54297 9122 1218 57210 37096 38243 17198 70884 51809 40602
## [3049] 65116 70455 41618 21209 26103 10436 16550 17697 10744 7799 57183 121
## [3061] 32604 49883 68242 33726 56255 46455 13270 38067 9160 52843 67343 50805
## [3073] 10826 60358 72231 58586 50499 18986 51177 575 47321 7754 66270 2814
## [3085] 52847 60235 10981 62833 26267 69918 44927 20169 31481 27721 71419 25642
## [3097] 31932 13629 38258 70602 60056 31156 69643 23171 42309 2877 37011 355
## [3109] 53252 3553 72178 11817 26468 13176 67032 39784 56156 15230 25218 39637
## [3121] 26777 60533 44375 49848 65413 31161 61787 53482 71387 7577 34400 45175
## [3133] 71192 26997 33532 33704 51897 43016 3370 39984 59232 57896 21917 66435
## [3145] 3442 48064 13358 64986 6032 52924 69979 50489 20094 16618 63280 14551
## [3157] 22098 17771 11803 34356 26528 51554 2296 10624 1681 36375 8117 49849
## [3169] 19436 10523 39322 53265 40379 66841 38900 18180 1183 22964 64597 23893
## [3181] 51564 14410 4964 15020 27380 21523 8819 68408 8976 22290 7700 40503
## [3193] 47917 30303 63864 24177 57274 37213 59992 27382 61017 61699 14489 54053
## [3205] 38348 17668 11792 22917 36204 49554 72594 28027 54177 32602 1213 21534
## [3217] 6852 3379 41146 20391 69379 34778 49270 55407 36744 26603 71414 14517
## [3229] 69050 52080 27493 6295 20375 29017 56635 4280 22896 70297 47776 53141
## [3241] 16145 41593 50651 11111 15803 71597 22804 64498 41182 56606 36958 14877
## [3253] 65988 50001 27034 8950 31850 14288 3180 13899 23730 6011 14376 22052
## [3265] 24836 11861 25613 71496 24074 44937 72082 53271 34077 42330 69487 70973
## [3277] 44986 2633 21834 49196 22939 55400 30870 247 7979 56189 3984 49753
## [3289] 71719 11313 38070 50455 31766 24245 50726 29955 64742 48518 42999 71447
## [3301] 61437 50428 8816 49556 67654 21989 46434 3205 68692 44531 70392 37025
## [3313] 68965 53843 5236 32110 17893 65794 65955 53924 70674 56410 9955 8410
## [3325] 46854 8168 30405 1301 42348 38560 48129 10511 42481 59872 56282 6540
## [3337] 31378 32317 9948 35182 5655 51762 68193 49459 54776 45701 7953 65508
## [3349] 68539 12022 3348 58466 50434 49974 54574 39342 2972 32717 14063 71724
## [3361] 4753 62076 6665 51385 66973 59671 3946 17623 50644 54294 46767 12911
## [3373] 16109 47499 8790 11259 12003 71099 62090 10138 71424 44759 21953 52234
## [3385] 46461 6973 5068 65277 52679 36728 46797 63898 11371 13155 27125 15383
## [3397] 19828 6289 44243 40167 38078 34257 21653 63764 22194 16010 5074 10243
## [3409] 52588 56996 28315 15104 26604 27916 60249 45787 65526 72354 38938 39017
## [3421] 13219 3003 34543 21762 22003 6731 19032 55370 57288 31925 8264 448
## [3433] 38783 45961 27518 51106 42251 33115 31701 21661 18837 57777 62610 2730
## [3445] 51116 22607 11595 24355 32563 18266 60088 14912 49939 64534 62914 4297
## [3457] 20399 1112 13276 1260 40509 15241 31344 55169 55740 62513 18040 10374
## [3469] 37209 62306 54101 12259 37634 22548 65407 50723 20890 52472 42859 3167
## [3481] 56469 23851 30571 67786 41404 33960 70833 65731 57968 57539 17745 33252
## [3493] 69789 40076 10323 23514 37395 8240 9620 7092 50216 59506 43397 62384
## [3505] 10651 69750 55455 34230 65154 36298 13171 62983 44834 67411 5455 49267
## [3517] 60464 56286 5223 53302 59309 69824 13173 52579 59451 56875 16774 61672
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## [3553] 36896 23535 1323 47309 34161 57405 15824 32103 18205 71420 298 15136
## [3565] 9879 68302 65507 63949 62475 35648 72276 49661 31590 8584 7964 25130
## [3577] 3531 6529 22272 40702 1656 51988 48323 35155 46314 12906 24961 14000
## [3589] 23047 6827 44656 59801 51073 34966 41122 4449 54726 1772 4850 44886
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## [3613] 50785 17251 48459 68843 27523 61651 22877 52859 55631 7003 68447 13817
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## [3637] 2903 70268 11003 61475 27608 9923 28091 59749 8719 58154 31712 14249
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## [3661] 59045 31608 47949 41362 18187 8983 20098 3777 11651 28527 63282 37038
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## [3745] 43734 41917 8050 44426 34700 70230 68721 23170 5731 62791 18943 45472
## [3757] 3942 30201 38284 53552 59663 68631 49900 18140 52340 2327 55137 458
## [3769] 57044 71548 67438 36524 61827 31454 15663 4707 55885 47563 63729 5286
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## [3793] 44259 52668 37446 46895 57667 41962 25495 2029 13993 18876 22865 365
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## [3853] 27818 3062 11692 25070 39556 18437 59540 13857 57924 38069 48871 63420
## [3865] 67665 50638 43892 9335 38830 14019 65888 62986 61409 72041 51584 56476
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## [3901] 12807 71417 37479 23850 17791 2544 4961 2702 11208 4077 36548 71596
## [3913] 61050 6172 15098 34895 6443 67635 19931 57302 26197 54982 13398 21101
## [3925] 39958 51894 56001 56137 25900 69213 38613 27660 33790 50845 44628 38951
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## [3949] 27948 45673 50810 2467 64165 22352 62990 1737 26357 28013 24727 37608
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## [4045] 72512 56195 7524 45795 64433 70106 50072 52530 768 40255 50073 52439
## [4057] 65379 38605 35772 38014 68330 47271 26330 24022 45622 60732 53694 11280
## [4069] 28734 12693 17683 36155 31390 10636 71659 52305 9602 68407 72011 40568
## [4081] 50206 41191 7129 45485 32023 33064 60896 2109 27705 36850 52500 43698
## [4093] 49901 69120 25510 60416 15135 34660 11713 40704 71298 54497 30129 44965
## [4105] 38549 39236 50545 28435 4631 9912 43028 38894 41238 51828 64196 10626
## [4117] 4117 37993 57765 7841 18398 50210 52461 32523 49509 16377 13902 44047
## [4129] 34184 11312 39616 57322 28011 242 18178 51823 23439 12594 2692 26062
## [4141] 6805 45817 66306 62167 16627 34285 71151 2580 11891 57080 47456 56139
## [4153] 12857 40980 47668 72792 37728 47410 56450 9189 71966 59272 45563 19907
## [4165] 40163 62738 51651 39940 8122 71057 67921 12834 56567 11872 6574 5294
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## [4189] 70670 58477 53636 24262 33886 59126 31697 10018 52447 23238 4148 63404
## [4201] 13540 44288 23194 751 7047 68020 11325 25636 60602 51856 13031 19498
## [4213] 51476 49762 23449 51374 41263 6599 16320 64670 35941 64931 27416 43433
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## [4249] 15422 56692 45395 39977 14553 40998 71900 3318 41481 24854 22330 14892
## [4261] 36710 29267 17098 61384 69732 61238 18696 25643 63333 23210 2647 60934
## [4273] 50412 1192 55361 50141 12963 55337 23989 26025 67711 53105 10696 43656
## [4285] 52361 57343 23339 51408 47886 21407 34026 53004 18833 69222 32610 57645
## [4297] 21677 50410 25051 31642 60455 52172 69647 24972 13172 31911 34415 53219
## [4309] 7924 72491 59058 52619 36162 68371 21067 25718 24421 69528 56594 35095
## [4321] 30002 71143 32669 17174 2818 30650 3013 42806 6390 46647 6625 49605
## [4333] 72940 24783 22515 3700 53802 49955 2456 71515 44662 38661 15978 35210
## [4345] 49930 27789 45325 31092 40705 28513 12367 63915 10166 35999 8964 38207
## [4357] 52681 38980 33924 10135 46517 65966 56575 43138 36633 11632 31153 52247
## [4369] 61987 64416 31708 62296 53976 16446 51329 33560 37866 8553 5654 17238
## [4381] 45252 14444 46503 18578 917 60981 28873 25446 54127 63478 15464 63312
## [4393] 55681 63804 10321 56339 56277 33657 7054 72393 68059 14996 841 22880
## [4405] 1552 68853 49190 49277 711 1953 34900 13237 61684 28382 13768 32726
## [4417] 65729 6422 11382 31703 33439 5647 1847 12900 28367 71551 13846 61667
## [4429] 46079 7871 60964 72562 63773 53998 16617 54117 5987 72215 39796 12345
## [4441] 65636 47356 27859 41715 38617 32638 47799 41942 69010 47144 65103 6472
## [4453] 27596 59522 51512 53821 51532 50070 41654 5714 2304 8543 45279 57870
## [4465] 56961 8623 21346 36922 19814 22151 47802 25404 43487 58313 16629 60675
## [4477] 1119 64864 55244 23568 56979 66006 40447 62798 38397 66945 44992 50009
## [4489] 5170 16263 16024 47057 34045 59691 49261 30734 72184 37440 54400 56547
## [4501] 13598 24246 29276 20979 46048 35217 11816 48721 24163 8022 10950 21830
## [4513] 26594 14789 46670 31426 64435 68789 56254 17478 59908 34130 22282 21110
## [4525] 71622 10056 2424 24736 8920 62715 70615 43507 43035 44799 49053 33102
## [4537] 59405 18283 4929 37289 6202 24106 32126 56322 54869 40887 29764 38287
## [4549] 53426 14943 65351 61830 71777 69059 11908 24955 61477 724 22614 61997
## [4561] 6605 46987 70428 2267 25476 52960 56600 9394 42400 36210 34416 37192
## [4573] 20237 60635 32571 52368 66786 12668 64155 17885 18930 15728 71846 37515
## [4585] 25763 16566 30836 68060 51958 45285 19271 6576 6850 25798 28611 15061
## [4597] 40323 40842 23765 66287 50804 25927 41970 54206 46691 37553 27507 68209
## [4609] 42841 51889 72725 18605 23599 45530 56425 69972 5774 13307 72188 60226
## [4621] 34940 4403 33051 37668 27276 37808 21678 40087 38658 30353 28803 10445
## [4633] 12812 72289 30433 37640 54378 34138 72160 44447 5927 44233 56021 65038
## [4645] 3595 25783 68268 7564 26723 9995 68074 8385 21796 53115 27623 70823
## [4657] 5173 21852 24711 21967 36793 37492 45658 6264 37507 50557 21973 53346
## [4669] 41210 29078 24873 15387 63880 49833 43773 53095 56185 57043 55545 60899
## [4681] 16136 11843 3609 29172 49894 6048 16029 63022 40041 6924 22590 25878
## [4693] 11169 44355 31113 46514 67466 3612 66590 19611 47216 55591 24381 8037
## [4705] 23911 31596 44647 51486 18263 41930 45922 52934 18020 2044 63467 38642
## [4717] 5387 68417 22477 23968 8111 15282 54395 25408 69284 28348 46015 69047
## [4729] 39706 9143 64879 17130 16420 7529 54022 35660 50605 27803 68981 61505
## [4741] 70677 49620 5319 51100 163 55140 52882 54344 2550 58610 16902 60603
## [4753] 808 61881 41600 12786 11935 44655 48644 41527 50975 49179 27509 19191
## [4765] 25149 42626 2578 55975 62182 12037 21963 26250 13960 56573 10659 50763
## [4777] 62075 10119 48127 65892 33370 59049 53896 21980 70497 58652 30335 26305
## [4789] 31227 5581 1989 43803 41395 71784 57979 54437 67159 7230 68306 33087
## [4801] 40850 57612 37029 338 9565 3623 69723 47662 58495 71222 37865 20185
## [4813] 41875 67602 40387 43208 54324 51110 36969 48118 4607 62471 43821 7218
## [4825] 23427 66014 41652 16605 42091 66067 50222 41214 72386 14918 55457 63323
## [4837] 35446 8208 5131 68157 4795 7581 47383 14036 25942 24018 27801 52978
## [4849] 15593 11098 12015 47348 44155 62656 8838 42563 31254 27922 1696 54162
## [4861] 70396 65907 49451 68601 13236 65998 5875 47427 29734 72715 59847 59911
## [4873] 13583 22897 11898 14785 45163 57254 30658 32617 65376 1731 38441 22147
## [4885] 50663 19165 60562 22013 39936 6517 62576 18636 24299 40826 53323 28717
## [4897] 53028 57757 54795 70267 34084 20258 65333 56629 22417 49925 72696 39708
## [4909] 60426 70540 37622 44813 47153 8175 61528 38771 31189 27804 41842 11962
## [4921] 45404 4062 63650 72186 40240 25931 21292 25391 65469 29487 63575 30457
## [4933] 5951 8690 32147 47691 25982 70058 61868 46086 68596 10281 31409 54067
## [4945] 9731 24009 61694 7453 66405 2138 66650 59945 16245 68094 64661 61376
## [4957] 47236 875 63986 55410 63287 3720 20274 50338 58209 20634 3251 12677
## [4969] 45160 67940 8145 39393 57710 12487 16513 42297 63656 56233 22591 23757
## [4981] 19601 61801 949 10995 1503 37431 53697 67012 30525 25860 21743 25833
## [4993] 64652 45710 27853 5964 6976 11145 39229 14189 49929 56328 26742 63158
## [5005] 27435 10829 70593 42647 48109 40732 58635 844 14688 23026 30463 50140
## [5017] 36837 57333 19826 37713 6278 15517 25326 57034 70718 47461 50091 62416
## [5029] 5288 66951 28335 67465 67426 19508 65405 49773 57159 69710 58834 42007
## [5041] 5121 44878 40220 19692 27616 19801 21467 25102 28788 29028 15581 16738
## [5053] 31836 43496 52677 11630 53478 38349 48425 64420 60271 38009 11184 68967
## [5065] 66684 7789 40112 65814 49598 15599 62425 52652 71957 17231 30379 63997
## [5077] 39935 8203 27446 42709 22691 37680 24552 72914 29540 53525 65411 26214
## [5089] 22190 56714 4211 6369 56799 32235 28048 68598 41512 64520 579 7293
## [5101] 68398 36901 45010 22127 14180 18234 44873 19723 37544 44679table(healthcare_dataset_stroke_data$id)##
## 67 77 84 91 99 121 129 132 156 163 170 172 187
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 205 210 224 239 242 247 259 298 315 321 338 347 354
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 355 364 365 394 448 452 458 464 479 491 507 530 533
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 542 545 559 563 575 579 587 621 641 711 712 721 724
## 1 1 1 1 1 1 1 1 1 1 1 1 1
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## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 67159 67177 67210 67217 67243 67277 67309 67318 67343 67350 67356 67405 67411
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 67412 67426 67431 67432 67438 67465 67466 67483 67499 67521 67548 67602 67603
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 67620 67635 67654 67665 67667 67689 67711 67724 67733 67744 67758 67773 67780
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 67786 67800 67814 67855 67864 67880 67890 67895 67911 67921 67932 67940 67941
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 67942 67956 67963 67981 68003 68020 68023 68025 68034 68059 68060 68074 68089
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 68094 68131 68138 68141 68157 68171 68193 68209 68224 68235 68241 68242 68245
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 68249 68268 68275 68281 68291 68302 68306 68330 68333 68344 68356 68370 68371
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 68382 68398 68407 68408 68417 68420 68438 68447 68483 68524 68539 68568 68596
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 68598 68601 68614 68627 68631 68650 68657 68685 68692 68708 68721 68725 68739
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 68750 68789 68794 68798 68816 68843 68853 68908 68965 68967 68970 68981 68994
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 68995 69010 69020 69037 69047 69050 69059 69064 69069 69089 69091 69112 69120
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 69143 69160 69177 69183 69213 69222 69224 69239 69249 69259 69284 69285 69312
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 69329 69330 69339 69355 69370 69379 69404 69427 69435 69461 69462 69482 69487
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 69502 69510 69524 69528 69551 69553 69559 69622 69623 69643 69645 69647 69665
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 69666 69668 69673 69687 69710 69723 69732 69750 69768 69789 69792 69824 69834
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 69835 69847 69900 69918 69936 69959 69972 69979 70022 70031 70042 70058 70081
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 70106 70122 70230 70241 70259 70267 70268 70297 70318 70336 70344 70365 70374
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 70380 70392 70396 70428 70429 70447 70455 70497 70500 70537 70540 70593 70602
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 70610 70615 70625 70630 70654 70661 70670 70674 70676 70677 70678 70693 70718
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 70752 70783 70822 70823 70833 70845 70852 70857 70874 70884 70886 70928 70943
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 70965 70970 70973 70992 71010 71016 71038 71044 71057 71061 71062 71097 71099
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 71143 71151 71182 71192 71221 71222 71238 71250 71279 71297 71298 71304 71318
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 71319 71322 71327 71339 71379 71387 71396 71414 71417 71419 71420 71424 71440
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 71442 71444 71447 71496 71515 71533 71539 71548 71551 71585 71590 71591 71596
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 71597 71622 71639 71659 71669 71673 71719 71721 71724 71750 71777 71784 71793
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 71796 71808 71846 71869 71896 71900 71917 71929 71957 71966 71978 72011 72020
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 72041 72081 72082 72096 72108 72132 72160 72178 72184 72186 72188 72214 72215
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 72231 72268 72276 72284 72289 72310 72311 72337 72340 72348 72354 72361 72366
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 72369 72386 72393 72398 72414 72435 72450 72451 72474 72491 72497 72512 72514
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 72525 72547 72562 72594 72642 72696 72701 72703 72715 72725 72776 72779 72784
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 72792 72818 72819 72823 72824 72836 72861 72867 72882 72911 72914 72915 72918
## 1 1 1 1 1 1 1 1 1 1 1 1 1
## 72940
## 1sum(is.na(healthcare_dataset_stroke_data$id))## [1] 0sum(duplicated(healthcare_dataset_stroke_data$id))## [1] 0# id's appear unique
class(healthcare_dataset_stroke_data$gender)## [1] "character"unique(healthcare_dataset_stroke_data$gender)## [1] "Male" "Female" "Other"table(healthcare_dataset_stroke_data$gender)##
## Female Male Other
## 2994 2115 1sum(is.na(healthcare_dataset_stroke_data$gender))## [1] 0# will likely remove "other" for analysis
class(healthcare_dataset_stroke_data$age)## [1] "numeric"sort(unique(healthcare_dataset_stroke_data$age))## [1] 0.08 0.16 0.24 0.32 0.40 0.48 0.56 0.64 0.72 0.80 0.88 1.00
## [13] 1.08 1.16 1.24 1.32 1.40 1.48 1.56 1.64 1.72 1.80 1.88 2.00
## [25] 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00
## [37] 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00
## [49] 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00
## [61] 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00 48.00 49.00 50.00
## [73] 51.00 52.00 53.00 54.00 55.00 56.00 57.00 58.00 59.00 60.00 61.00 62.00
## [85] 63.00 64.00 65.00 66.00 67.00 68.00 69.00 70.00 71.00 72.00 73.00 74.00
## [97] 75.00 76.00 77.00 78.00 79.00 80.00 81.00 82.00table(sort(healthcare_dataset_stroke_data$age))##
## 0.08 0.16 0.24 0.32 0.4 0.48 0.56 0.64 0.72 0.8 0.88 1 1.08 1.16 1.24 1.32
## 2 3 5 5 2 3 5 4 5 4 5 5 8 4 8 8
## 1.4 1.48 1.56 1.64 1.72 1.8 1.88 2 3 4 5 6 7 8 9 10
## 3 6 4 8 6 9 8 55 46 34 65 24 32 58 38 35
## 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
## 36 45 57 54 45 52 60 60 50 59 47 45 64 55 57 62
## 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42
## 55 54 51 55 79 71 57 68 54 52 76 72 71 74 73 71
## 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58
## 70 75 85 62 75 66 79 83 86 90 85 87 83 77 95 68
## 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74
## 80 72 76 74 74 53 62 60 49 47 54 45 61 45 46 40
## 75 76 77 78 79 80 81 82
## 53 50 42 102 85 70 60 56sum(healthcare_dataset_stroke_data$age <18)## [1] 856sum(is.na(healthcare_dataset_stroke_data$age))## [1] 0#not sure what to make of age range 0.08 - 17 will remove 856 entries and focus on 18+ adults
class(healthcare_dataset_stroke_data$hypertension)## [1] "integer"unique(healthcare_dataset_stroke_data$hypertension)## [1] 0 1table(healthcare_dataset_stroke_data$hypertension)##
## 0 1
## 4612 498sum(is.na(healthcare_dataset_stroke_data$hypertension))## [1] 0# looks clean
class(healthcare_dataset_stroke_data$ever_married)## [1] "character"unique(healthcare_dataset_stroke_data$ever_married)## [1] "Yes" "No"table(healthcare_dataset_stroke_data$ever_married)##
## No Yes
## 1757 3353sum(is.na(healthcare_dataset_stroke_data$ever_married))## [1] 0# looks clean, will create an extra dataframe to convert to 1-yes 0-no
class(healthcare_dataset_stroke_data$work_type)## [1] "character"unique(healthcare_dataset_stroke_data$work_type)## [1] "Private" "Self-employed" "Govt_job" "children"
## [5] "Never_worked"table(healthcare_dataset_stroke_data$work_type)##
## children Govt_job Never_worked Private Self-employed
## 687 657 22 2925 819sum(is.na(healthcare_dataset_stroke_data$work_typed))## [1] 0# looks clean, will update children elements to capitalize for report purposes
class(healthcare_dataset_stroke_data$Residence_type)## [1] "character"unique(healthcare_dataset_stroke_data$Residence_type)## [1] "Urban" "Rural"table(healthcare_dataset_stroke_data$Residence_type)##
## Rural Urban
## 2514 2596sum(is.na(healthcare_dataset_stroke_data$Residence_type))## [1] 0# looks clean
class(healthcare_dataset_stroke_data$avg_glucose_level)## [1] "numeric"unique(healthcare_dataset_stroke_data$avg_glucose_level)## [1] 228.69 202.21 105.92 171.23 174.12 186.21 70.09 94.39 76.15 58.57
## [11] 80.43 120.46 104.51 219.84 214.09 167.41 191.61 221.29 89.22 217.08
## [21] 193.94 233.29 228.70 208.30 102.87 104.12 100.98 189.84 195.23 211.78
## [31] 212.08 83.41 196.92 252.72 84.20 84.03 219.72 74.63 92.62 60.91
## [41] 78.03 71.22 144.90 90.90 213.03 243.58 109.78 107.26 99.33 58.09
## [51] 89.96 75.32 127.29 124.13 197.54 196.71 59.32 237.75 194.99 180.93
## [61] 185.17 74.90 61.94 93.72 104.72 113.01 221.58 104.47 86.23 72.67
## [71] 62.57 179.12 116.55 228.56 96.59 66.72 240.09 110.85 165.31 143.43
## [81] 96.16 101.45 88.92 79.79 71.20 96.97 111.81 59.35 86.94 98.55
## [91] 226.98 72.81 68.02 68.56 64.14 235.63 76.34 240.59 78.92 82.81
## [101] 74.10 190.32 231.61 78.70 110.52 82.30 73.18 191.82 93.05 64.17
## [111] 129.98 68.53 106.41 224.10 82.10 216.94 76.11 72.96 82.28 105.22
## [121] 59.86 62.55 259.63 249.31 219.91 131.41 93.13 73.54 200.59 62.48
## [131] 190.14 130.54 182.99 206.09 263.32 140.10 207.28 194.37 199.20 103.68
## [141] 116.44 70.28 72.17 221.79 151.16 68.43 67.29 67.41 239.07 169.67
## [151] 223.83 76.57 77.82 92.98 231.56 102.16 221.89 195.71 74.02 57.92
## [161] 81.76 70.37 203.87 89.13 133.19 162.23 75.02 98.02 91.54 111.98
## [171] 60.94 97.43 91.02 60.67 185.49 64.44 56.11 110.66 213.22 78.18
## [181] 111.04 76.13 81.32 112.24 137.30 116.69 215.94 86.62 209.86 205.77
## [191] 112.16 118.03 271.74 97.92 200.62 242.52 93.81 114.77 74.96 167.13
## [201] 175.29 90.00 109.47 87.85 106.74 80.13 90.19 134.80 106.58 83.24
## [211] 103.43 208.65 74.11 95.84 205.33 116.10 210.40 199.86 219.73 250.89
## [221] 72.73 205.35 70.30 104.86 216.58 184.40 60.98 97.76 66.03 81.95
## [231] 97.73 70.94 199.84 218.46 211.06 86.30 162.14 88.20 91.92 76.46
## [241] 197.28 233.94 247.51 84.96 57.93 78.80 87.80 78.81 95.12 87.96
## [251] 110.89 69.04 161.28 210.95 77.59 243.53 77.67 205.84 77.08 57.08
## [261] 162.96 73.50 95.04 85.37 84.62 82.67 57.33 67.84 75.70 129.54
## [271] 60.22 198.21 109.82 60.84 94.61 97.49 206.72 214.45 82.90 103.26
## [281] 55.78 73.74 149.75 82.34 62.60 94.09 55.42 82.18 117.92 114.84
## [291] 79.17 110.63 190.70 79.81 113.63 141.24 56.96 203.04 94.30 81.51
## [301] 137.74 81.84 242.30 102.64 146.01 75.42 220.49 61.45 88.19 115.22
## [311] 97.93 85.60 79.83 62.20 69.15 127.71 216.70 71.89 103.56 79.03
## [321] 69.94 90.12 95.10 234.58 235.85 78.05 89.44 111.38 243.50 182.20
## [331] 229.92 82.24 89.84 90.69 84.38 215.60 91.61 138.16 75.23 75.18
## [341] 106.23 239.64 58.95 99.92 116.23 118.82 66.30 101.41 200.28 136.80
## [351] 96.57 66.42 98.09 205.23 86.78 126.82 78.40 63.69 209.58 89.86
## [361] 110.99 83.82 137.96 210.78 118.89 72.55 107.41 93.25 74.91 80.05
## [371] 99.80 91.97 64.40 73.02 88.11 138.29 72.36 68.76 106.22 101.52
## [381] 109.51 85.84 110.15 91.72 251.60 123.10 97.40 68.34 80.81 120.31
## [391] 83.51 74.09 91.60 87.52 213.37 75.39 122.41 223.36 84.59 70.16
## [401] 107.52 80.88 93.48 70.21 86.67 101.37 70.31 64.06 178.29 81.60
## [411] 147.48 86.86 71.16 73.20 203.81 82.00 97.55 94.29 75.22 90.07
## [421] 73.73 79.58 77.88 205.26 58.63 139.90 211.03 72.79 91.65 79.92
## [431] 225.47 94.48 180.63 92.48 116.66 112.09 130.34 82.59 123.87 98.70
## [441] 227.10 55.39 66.07 104.21 145.15 68.19 97.53 122.31 86.46 112.06
## [451] 92.14 201.76 74.44 95.93 87.51 72.35 113.47 103.78 115.43 95.59
## [461] 170.05 217.30 196.01 92.21 100.09 93.88 75.05 70.08 74.20 69.01
## [471] 96.17 184.15 87.24 198.69 82.58 96.88 73.32 94.59 132.08 98.99
## [481] 104.48 98.01 79.14 89.32 65.24 80.98 186.17 69.24 111.19 93.28
## [491] 122.19 129.53 114.53 93.73 77.49 65.38 94.18 118.70 96.29 74.64
## [501] 96.99 100.61 97.08 84.79 78.75 82.93 88.78 122.10 74.81 183.45
## [511] 114.94 104.38 102.91 108.79 73.31 68.52 89.77 70.92 86.11 129.16
## [521] 113.85 79.35 80.79 114.01 93.74 90.65 98.41 127.18 138.06 105.61
## [531] 155.43 80.83 80.19 60.34 79.30 98.44 210.48 70.34 122.22 75.29
## [541] 100.35 193.83 126.96 183.34 247.69 76.20 71.43 93.36 61.29 103.62
## [551] 100.52 191.47 67.06 144.10 58.26 239.82 73.71 88.53 114.79 113.80
## [561] 71.91 65.30 189.57 114.25 81.26 87.88 112.17 99.97 207.58 109.16
## [571] 74.46 118.51 107.47 182.86 59.17 215.64 163.70 196.36 139.77 141.23
## [581] 89.99 108.53 63.61 85.54 100.83 59.82 105.95 188.11 71.15 60.53
## [591] 205.50 204.86 115.03 79.87 97.89 125.26 114.32 92.23 102.34 144.48
## [601] 88.39 228.08 93.79 147.14 106.43 88.04 92.20 219.53 75.56 158.31
## [611] 111.43 219.97 148.91 69.40 58.37 101.50 92.04 73.00 111.15 58.65
## [621] 100.54 111.73 97.78 85.79 98.54 94.62 112.43 99.67 67.39 85.06
## [631] 214.05 79.09 76.36 98.42 82.01 111.85 92.39 112.54 63.71 70.35
## [641] 94.65 64.64 57.27 107.25 77.12 55.32 69.37 57.57 87.43 98.73
## [651] 81.18 56.23 69.61 59.49 118.14 100.26 56.75 88.27 67.81 77.46
## [661] 76.26 86.39 116.38 75.74 149.95 92.11 74.98 55.25 79.89 130.61
## [671] 94.26 94.34 109.03 81.03 99.82 140.08 59.54 80.33 131.51 89.21
## [681] 91.45 90.58 89.63 124.06 99.47 88.97 80.93 102.07 91.69 200.49
## [691] 75.30 240.71 60.50 131.85 134.39 56.18 113.64 156.57 80.40 59.26
## [701] 63.26 86.24 197.10 121.80 77.65 64.41 75.19 67.97 119.34 94.92
## [711] 107.42 85.02 103.51 114.50 70.78 95.01 84.11 78.49 74.22 55.34
## [721] 75.04 109.73 95.81 96.78 194.62 70.02 222.21 62.41 55.83 65.12
## [731] 73.62 85.83 103.86 82.69 250.20 128.97 84.31 74.80 97.06 77.54
## [741] 92.78 173.43 79.08 106.18 114.21 91.08 105.77 74.88 123.15 184.25
## [751] 117.69 55.26 106.51 55.27 99.20 98.92 92.70 106.70 152.81 91.00
## [761] 76.99 254.60 93.99 109.68 111.41 65.61 62.37 101.28 88.31 103.55
## [771] 60.26 79.39 122.01 78.09 89.70 112.64 79.80 82.20 108.89 116.14
## [781] 122.74 94.04 86.60 82.32 83.83 106.98 70.53 212.01 65.88 106.97
## [791] 126.35 88.66 112.95 81.59 76.82 73.75 91.56 104.55 84.84 86.06
## [801] 109.10 68.35 121.04 160.83 85.62 74.23 110.76 79.44 119.52 90.42
## [811] 109.32 78.16 79.13 84.06 89.30 69.21 186.45 58.47 189.49 99.60
## [821] 126.18 186.32 62.49 74.51 94.63 91.98 56.77 75.87 77.19 135.75
## [831] 100.15 95.08 125.38 111.71 94.64 226.70 112.96 183.10 105.36 84.13
## [841] 102.47 77.04 83.23 87.01 56.99 73.01 106.35 80.63 103.61 91.35
## [851] 194.04 111.99 57.51 68.49 60.20 160.00 86.96 237.15 99.06 56.31
## [861] 90.92 104.33 62.61 231.19 72.62 81.64 90.78 70.71 59.76 83.76
## [871] 63.64 82.06 110.91 77.16 69.58 96.26 87.27 65.36 89.03 91.34
## [881] 57.82 81.15 115.29 111.02 111.61 109.02 207.32 87.11 61.68 119.04
## [891] 86.05 70.03 207.64 236.84 78.11 100.97 99.21 113.21 92.95 110.16
## [901] 142.57 92.87 111.48 123.00 106.68 86.40 61.81 128.28 204.63 89.98
## [911] 232.89 98.58 57.94 123.21 92.81 85.16 90.10 65.15 104.62 113.25
## [921] 59.28 93.07 77.42 73.69 58.39 102.05 112.47 72.84 195.03 170.95
## [931] 87.98 65.81 124.60 83.65 88.81 86.75 123.36 89.68 69.87 109.22
## [941] 157.57 110.73 99.14 59.15 165.11 77.44 100.33 148.24 91.96 72.93
## [951] 84.27 124.45 90.51 118.87 56.42 73.67 89.11 74.04 145.23 100.80
## [961] 85.22 72.49 82.61 72.07 79.85 84.86 131.89 89.17 227.91 131.77
## [971] 102.01 128.63 143.15 116.67 142.12 100.81 69.17 58.38 86.34 95.44
## [981] 94.78 109.59 79.26 78.46 85.29 156.18 69.52 65.32 108.47 105.63
## [991] 77.93 95.20 78.52 114.89 95.43 84.08 110.55 82.21 82.38 93.89
## [1001] 75.08 76.72 84.93 76.50 65.47 99.16 63.53 78.65 63.78 77.52
## [1011] 111.64 97.84 56.48 204.50 96.02 206.25 115.52 60.69 93.67 67.79
## [1021] 56.07 254.63 96.63 84.30 246.34 195.16 93.34 162.30 106.40 110.25
## [1031] 69.70 87.03 112.98 82.47 75.88 84.63 109.56 89.45 121.14 87.77
## [1041] 106.56 153.76 88.65 111.22 223.68 55.86 63.73 103.94 92.49 229.20
## [1051] 75.06 85.57 68.61 56.30 193.22 65.98 204.57 64.99 66.12 73.40
## [1061] 82.83 93.55 90.40 98.10 142.02 251.46 71.73 82.44 80.85 220.52
## [1071] 86.73 76.93 113.10 96.84 100.91 116.50 57.26 129.31 56.47 86.97
## [1081] 78.78 195.04 103.25 134.59 90.66 91.68 75.79 82.31 90.06 58.03
## [1091] 83.09 88.60 63.18 78.42 65.08 79.47 95.52 138.07 86.99 112.07
## [1101] 105.76 55.67 90.55 218.65 111.21 83.56 116.76 83.50 69.30 67.55
## [1111] 80.28 211.49 67.96 99.29 140.52 75.62 120.06 117.45 224.71 122.75
## [1121] 82.39 57.02 115.98 226.11 97.59 82.57 79.34 125.68 102.06 65.59
## [1131] 120.85 101.65 210.94 77.92 230.68 62.68 55.22 78.94 109.69 79.63
## [1141] 79.33 79.91 84.46 68.40 78.43 198.02 85.35 204.17 82.71 121.19
## [1151] 106.02 66.36 267.76 107.18 74.58 80.92 90.77 90.84 59.20 217.71
## [1161] 133.76 61.36 118.62 77.91 68.98 112.08 96.20 93.11 115.54 88.57
## [1171] 180.76 83.12 94.89 239.52 99.15 124.16 86.38 93.68 229.86 78.73
## [1181] 115.92 93.71 76.66 112.38 103.44 79.69 61.61 94.12 62.40 210.96
## [1191] 76.25 103.48 96.42 78.59 195.25 103.76 92.17 81.02 94.33 217.39
## [1201] 82.77 88.13 102.77 101.75 113.34 63.33 69.34 118.81 66.13 67.53
## [1211] 96.58 57.89 78.38 94.15 89.53 127.75 76.79 141.15 88.63 201.25
## [1221] 130.15 108.03 104.07 88.83 197.79 150.45 100.39 96.79 86.84 61.27
## [1231] 72.61 82.41 74.72 57.37 73.72 88.34 101.34 119.01 71.98 84.91
## [1241] 91.63 214.77 145.71 167.31 63.65 87.49 98.74 92.82 72.20 181.23
## [1251] 63.37 74.82 97.60 93.04 97.12 134.45 98.67 85.82 189.45 144.16
## [1261] 82.56 206.40 71.70 72.02 103.09 156.70 70.87 138.47 64.66 91.88
## [1271] 74.79 112.23 178.76 121.43 94.22 67.27 197.58 86.37 199.96 85.33
## [1281] 86.33 80.47 62.46 78.85 72.09 103.81 78.04 94.67 62.25 155.17
## [1291] 83.28 132.41 62.78 126.99 102.27 86.09 108.08 108.34 82.91 94.75
## [1301] 101.79 88.41 101.05 85.07 108.10 93.17 158.89 112.34 119.03 237.21
## [1311] 246.53 89.05 81.74 98.12 105.59 86.00 65.51 61.78 65.82 90.16
## [1321] 64.45 91.85 206.33 74.29 107.40 87.72 85.99 100.84 124.61 86.55
## [1331] 100.85 87.74 80.15 107.29 206.98 227.28 120.07 93.47 80.77 150.27
## [1341] 81.94 70.75 73.66 102.37 77.83 70.01 119.88 78.29 169.97 123.79
## [1351] 84.21 101.31 86.26 92.86 140.28 244.28 99.34 59.87 72.76 61.10
## [1361] 120.77 60.39 126.34 93.24 154.75 62.81 65.96 79.53 96.85 251.99
## [1371] 115.13 102.30 78.99 191.79 68.80 83.84 94.66 107.98 61.01 135.64
## [1381] 92.65 121.11 163.56 107.69 216.88 70.15 83.02 87.94 222.29 139.43
## [1391] 213.11 77.23 58.48 87.33 151.30 144.23 110.60 114.88 227.51 111.65
## [1401] 201.01 129.01 124.08 107.91 95.40 65.90 78.98 111.33 104.36 210.00
## [1411] 113.96 81.28 102.50 237.58 86.07 59.05 95.88 70.18 111.13 65.84
## [1421] 123.49 207.45 143.45 58.30 78.68 98.91 67.92 97.50 108.43 90.43
## [1431] 76.30 121.27 119.67 226.93 93.23 253.16 101.02 238.53 79.18 207.79
## [1441] 196.20 231.76 93.30 110.47 91.23 216.92 157.01 93.51 102.54 87.78
## [1451] 126.67 93.60 194.98 99.96 58.87 83.14 69.18 218.54 82.07 127.25
## [1461] 72.63 108.20 123.95 58.71 98.46 68.78 133.63 101.43 65.49 63.40
## [1471] 105.29 64.08 78.34 66.32 168.15 79.20 107.45 83.86 119.96 70.58
## [1481] 87.70 65.29 97.14 110.68 91.93 88.54 183.00 115.93 99.13 102.28
## [1491] 71.31 89.75 87.66 237.17 81.11 178.33 81.38 70.45 73.44 146.44
## [1501] 65.04 151.25 197.09 93.58 122.04 80.06 62.99 139.67 113.40 101.92
## [1511] 61.42 85.52 83.79 73.83 69.38 66.11 149.62 242.84 202.66 216.90
## [1521] 75.94 55.51 71.44 58.29 115.83 102.71 99.69 102.89 79.05 56.63
## [1531] 87.34 81.43 101.22 78.26 105.47 114.47 66.85 94.71 208.05 222.60
## [1541] 64.51 151.56 199.14 73.41 109.65 69.11 114.41 103.46 95.36 191.48
## [1551] 71.63 94.00 93.77 84.75 89.24 70.13 82.26 200.16 80.73 75.09
## [1561] 80.57 145.26 190.40 82.08 103.35 97.46 123.65 85.92 80.80 99.30
## [1571] 62.56 144.20 71.38 95.50 104.24 122.48 215.90 108.56 69.88 65.85
## [1581] 60.74 233.52 110.70 78.93 124.50 57.95 58.25 213.54 74.86 78.35
## [1591] 101.26 86.87 124.01 188.69 86.51 70.65 92.40 73.36 219.50 105.73
## [1601] 58.02 99.71 63.19 107.11 56.84 217.66 76.22 155.32 70.67 227.16
## [1611] 58.69 88.85 137.94 60.60 79.56 122.46 92.32 59.89 88.52 88.82
## [1621] 102.08 84.90 209.90 74.05 90.46 176.48 94.07 85.12 71.81 111.93
## [1631] 94.40 70.00 95.57 66.29 211.88 76.55 56.67 58.96 81.66 96.77
## [1641] 97.51 225.60 95.58 210.23 234.82 65.67 81.99 87.69 125.29 70.93
## [1651] 89.93 137.45 72.06 97.90 84.85 230.59 224.63 108.12 85.17 84.14
## [1661] 110.53 61.88 85.04 140.40 62.27 99.44 88.90 64.10 97.58 58.66
## [1671] 88.24 61.32 185.71 86.04 83.30 208.17 133.20 81.54 146.61 84.56
## [1681] 185.31 102.53 65.78 76.68 90.95 85.66 68.37 77.32 187.87 213.87
## [1691] 119.62 222.85 100.82 136.10 149.42 79.99 118.21 84.49 89.61 198.36
## [1701] 93.61 75.43 100.31 82.84 58.88 92.27 115.23 196.25 85.97 114.33
## [1711] 72.52 99.87 63.47 92.26 113.74 194.53 72.65 86.68 140.39 77.87
## [1721] 104.70 95.82 204.05 130.56 67.78 135.19 116.12 59.63 56.43 199.18
## [1731] 209.26 91.21 95.16 217.11 222.46 70.96 131.23 187.52 83.26 99.07
## [1741] 76.63 65.09 142.31 80.99 237.74 74.26 154.08 164.67 59.61 67.75
## [1751] 92.73 90.35 77.86 71.88 67.33 121.66 111.92 95.46 59.99 68.96
## [1761] 90.26 91.90 118.55 102.04 65.52 82.09 149.90 91.25 89.81 97.32
## [1771] 75.53 121.44 83.52 75.27 80.24 88.69 69.09 62.67 56.51 65.95
## [1781] 129.07 62.47 69.82 99.68 223.35 74.36 102.97 153.38 87.10 94.88
## [1791] 82.73 67.80 135.89 106.13 74.33 109.40 75.40 95.85 90.36 63.45
## [1801] 201.07 122.91 55.41 60.99 111.77 77.63 70.61 124.34 208.06 75.50
## [1811] 98.85 96.06 65.60 113.24 94.77 145.22 112.92 103.28 109.00 96.18
## [1821] 186.95 68.66 128.72 146.97 65.69 97.52 81.71 198.24 80.74 93.00
## [1831] 95.37 96.25 86.74 63.08 99.79 83.34 229.21 80.08 62.00 118.69
## [1841] 77.57 108.75 108.23 151.33 82.43 107.17 91.46 81.05 114.37 100.29
## [1851] 87.95 73.27 131.43 68.24 74.01 95.75 108.87 209.06 86.57 120.25
## [1861] 85.51 84.18 82.37 96.15 74.55 114.45 113.68 83.85 101.30 72.13
## [1871] 94.98 228.42 93.90 121.60 84.40 82.13 73.33 212.97 100.41 202.05
## [1881] 71.42 107.50 55.57 58.14 78.53 78.79 96.62 65.28 92.67 114.18
## [1891] 231.69 101.89 107.22 101.99 72.56 94.47 98.76 116.93 219.96 75.77
## [1901] 124.35 107.27 97.96 197.69 112.30 76.51 93.14 80.84 199.88 77.48
## [1911] 65.34 81.96 98.71 170.22 72.39 102.96 80.72 74.19 81.20 114.76
## [1921] 109.97 113.05 74.35 134.33 208.78 66.17 114.16 61.67 220.36 76.03
## [1931] 73.06 187.88 79.02 191.66 76.74 72.29 92.59 80.42 63.94 77.73
## [1941] 115.79 96.30 107.46 108.33 89.37 93.64 217.75 83.44 102.61 62.08
## [1951] 55.61 226.88 65.66 58.70 186.40 122.32 149.13 169.49 80.25 170.76
## [1961] 120.58 90.01 68.84 155.14 158.48 92.56 90.15 80.09 189.44 249.29
## [1971] 96.93 211.35 85.87 60.96 120.09 92.13 83.07 97.24 74.65 206.59
## [1981] 196.33 70.23 242.94 103.06 80.86 83.91 152.02 60.61 89.14 97.23
## [1991] 78.48 75.92 97.39 134.61 104.02 56.90 112.66 226.75 76.28 107.84
## [2001] 71.06 185.00 104.42 89.57 136.20 128.23 104.23 133.82 80.82 102.35
## [2011] 88.48 199.83 111.27 68.44 96.24 77.29 125.09 130.07 57.30 101.35
## [2021] 94.03 227.81 66.67 240.81 88.02 152.87 96.04 60.35 118.66 58.51
## [2031] 110.92 92.72 56.34 61.83 131.99 136.81 239.28 131.30 117.75 83.53
## [2041] 145.50 88.33 101.25 231.50 82.89 192.37 79.64 82.88 99.40 77.75
## [2051] 75.03 220.47 196.91 180.80 247.48 216.00 75.64 95.07 129.97 124.26
## [2061] 87.92 85.15 87.16 219.39 71.92 167.66 87.21 89.95 111.32 65.01
## [2071] 110.07 60.56 89.83 71.50 71.71 173.96 113.20 106.03 73.29 65.71
## [2081] 60.41 63.32 85.68 162.93 198.33 85.81 79.59 191.33 59.52 206.52
## [2091] 80.07 64.92 80.00 112.20 91.18 148.37 64.55 97.31 80.97 89.88
## [2101] 62.66 122.25 87.08 85.00 100.49 145.37 112.19 79.73 101.13 101.98
## [2111] 98.39 128.04 216.96 83.27 96.86 99.73 91.71 65.77 161.57 74.32
## [2121] 170.93 74.43 86.36 110.38 55.62 232.81 118.61 80.21 61.34 116.60
## [2131] 85.13 86.32 69.22 140.93 83.43 207.95 134.29 115.12 86.25 112.94
## [2141] 69.91 95.62 63.95 122.50 120.27 56.71 131.63 79.36 100.42 155.86
## [2151] 66.01 229.58 60.06 113.86 99.49 165.99 114.99 77.37 187.22 167.59
## [2161] 98.03 88.79 92.90 117.34 80.75 77.51 114.34 227.04 87.56 84.47
## [2171] 116.64 79.57 78.44 64.15 74.50 70.32 84.48 144.08 78.14 133.58
## [2181] 214.42 233.71 96.00 74.52 131.40 216.40 108.80 266.59 55.58 65.87
## [2191] 89.28 56.12 74.70 83.06 227.94 84.88 64.20 137.22 81.44 68.48
## [2201] 100.02 156.82 112.22 90.62 70.54 205.00 126.39 89.72 92.08 85.38
## [2211] 95.25 75.91 203.44 243.73 88.23 97.47 101.15 68.38 55.46 113.87
## [2221] 67.03 96.35 127.21 78.90 59.91 160.94 116.02 127.32 176.25 168.06
## [2231] 75.52 82.15 62.44 221.43 165.47 96.69 63.98 145.03 98.53 105.55
## [2241] 134.23 213.38 70.52 93.21 88.29 80.18 84.02 69.72 192.16 82.27
## [2251] 101.87 77.55 215.72 87.84 173.14 106.83 84.44 92.16 85.96 202.57
## [2261] 65.41 102.51 150.10 65.50 81.31 78.96 123.47 71.59 209.50 57.43
## [2271] 87.93 203.16 112.12 92.02 86.35 71.26 110.78 99.78 201.45 127.78
## [2281] 121.32 83.89 74.06 206.15 102.90 65.48 123.23 71.30 102.21 84.58
## [2291] 77.30 88.75 97.97 81.33 126.68 196.61 219.92 79.16 79.55 87.86
## [2301] 76.92 77.24 120.94 77.66 231.95 84.25 216.38 105.74 58.41 56.89
## [2311] 86.49 115.47 92.22 83.16 70.06 213.33 93.52 87.62 95.66 172.33
## [2321] 106.59 87.06 93.02 243.59 86.70 97.81 116.04 169.43 68.41 94.44
## [2331] 73.48 183.87 66.08 72.19 101.09 69.99 102.40 87.26 146.59 59.00
## [2341] 76.83 101.83 67.50 97.16 129.43 106.01 114.82 121.39 227.98 78.97
## [2351] 84.12 103.15 153.60 81.00 101.32 208.20 199.42 91.28 77.99 190.13
## [2361] 149.68 92.30 235.54 68.70 178.89 227.74 100.66 100.05 213.80 250.80
## [2371] 112.29 99.10 217.84 104.34 217.00 57.47 78.24 94.38 99.83 217.40
## [2381] 190.92 94.76 115.86 95.27 89.02 75.86 93.62 72.71 94.45 150.03
## [2391] 69.67 142.38 110.87 73.60 142.68 182.90 75.28 100.75 163.82 110.42
## [2401] 105.18 107.99 90.22 78.57 79.82 123.04 92.34 116.84 90.04 255.17
## [2411] 217.55 123.66 88.43 86.03 227.96 111.68 73.49 87.82 85.55 105.93
## [2421] 94.19 231.71 69.28 71.37 110.18 59.68 94.24 62.62 107.83 107.59
## [2431] 116.98 84.10 160.64 81.13 127.13 119.61 143.47 84.60 110.72 158.93
## [2441] 68.94 72.00 57.76 108.65 65.42 98.34 124.37 100.96 59.85 104.75
## [2451] 70.98 92.77 82.12 77.33 96.01 107.49 88.47 91.13 59.83 67.02
## [2461] 75.78 102.42 98.45 97.41 81.68 148.52 125.30 84.16 78.74 61.11
## [2471] 78.30 76.19 115.99 98.27 93.85 94.69 136.23 93.03 196.81 87.81
## [2481] 222.66 223.58 85.77 73.65 141.80 198.79 61.04 102.88 123.39 67.07
## [2491] 123.81 90.54 192.39 233.30 71.94 82.35 73.28 97.57 60.40 79.96
## [2501] 82.86 97.87 201.38 91.82 99.23 68.13 93.76 103.89 87.39 66.61
## [2511] 236.14 99.76 87.09 193.81 97.27 137.77 105.19 82.72 58.35 68.79
## [2521] 121.17 104.79 96.81 69.20 111.78 122.26 77.53 77.35 82.36 239.95
## [2531] 61.96 72.10 107.97 60.77 60.36 83.33 65.33 113.28 170.88 103.34
## [2541] 106.08 156.45 60.05 114.05 57.28 63.60 80.01 58.42 67.38 73.58
## [2551] 103.92 80.22 77.06 181.30 70.73 72.75 95.47 100.03 59.78 90.39
## [2561] 147.04 202.55 154.60 95.98 96.52 232.12 78.12 70.04 97.61 113.11
## [2571] 104.95 96.37 73.89 107.21 99.35 203.57 69.26 111.47 72.94 76.77
## [2581] 60.32 133.24 230.78 72.50 85.03 80.76 204.98 110.33 89.18 91.53
## [2591] 65.16 74.53 93.29 227.89 121.46 69.35 216.71 75.25 56.37 149.15
## [2601] 202.67 90.31 221.80 73.39 147.12 109.85 103.21 81.25 84.69 81.92
## [2611] 90.91 85.48 124.48 62.89 93.15 64.87 90.68 104.64 92.44 89.87
## [2621] 105.28 131.80 66.33 101.07 83.37 103.17 62.52 110.36 140.07 106.85
## [2631] 202.38 73.70 69.16 91.44 215.81 65.40 139.72 149.17 125.74 90.21
## [2641] 139.48 220.24 81.42 102.36 82.85 102.11 195.61 71.80 67.68 98.65
## [2651] 83.58 104.04 112.46 72.42 96.73 267.61 109.46 120.05 106.33 97.28
## [2661] 83.13 97.35 79.54 91.36 79.27 105.99 59.93 73.37 115.42 71.93
## [2671] 96.43 161.95 71.25 160.87 82.02 78.02 115.21 143.33 80.55 147.42
## [2681] 86.53 91.95 63.72 55.64 88.88 114.61 56.08 59.62 75.85 176.71
## [2691] 56.33 102.46 161.00 70.70 157.67 89.59 64.02 110.69 71.97 65.07
## [2701] 207.62 108.64 201.58 116.20 231.43 112.62 220.26 84.37 102.48 69.12
## [2711] 211.12 95.38 108.72 177.91 73.78 59.48 80.96 82.40 80.59 70.59
## [2721] 98.57 61.87 68.88 66.25 69.23 103.45 90.30 90.87 76.21 74.14
## [2731] 87.25 215.33 88.38 104.40 104.92 106.54 62.91 61.47 88.50 107.61
## [2741] 137.91 212.02 228.20 92.15 126.32 94.96 89.52 66.59 80.10 90.49
## [2751] 92.99 95.29 83.70 63.16 87.23 260.85 104.45 113.65 65.93 93.78
## [2761] 223.90 93.18 169.74 101.93 125.03 82.25 85.27 207.96 105.52 109.27
## [2771] 176.78 67.73 70.29 91.47 205.01 73.87 94.20 56.95 92.37 127.23
## [2781] 191.78 113.57 89.58 88.89 108.62 88.49 72.01 70.56 71.02 99.75
## [2791] 127.20 69.76 73.56 57.77 78.32 84.70 127.28 73.92 72.60 69.77
## [2801] 84.43 57.17 86.15 163.02 110.41 102.58 90.97 140.96 70.33 64.18
## [2811] 127.57 109.23 124.49 142.82 75.69 74.08 75.98 57.80 76.44 214.43
## [2821] 66.46 112.72 114.02 72.33 55.59 105.05 84.78 164.77 220.64 159.39
## [2831] 69.53 83.93 98.90 82.64 204.77 63.86 101.61 90.60 87.15 98.14
## [2841] 134.24 248.37 61.75 70.55 124.38 148.72 79.25 98.84 135.74 66.55
## [2851] 115.69 67.76 106.11 95.49 59.07 228.92 92.71 85.59 89.06 87.44
## [2861] 64.07 81.73 127.42 227.68 226.73 89.74 219.17 74.85 55.96 215.92
## [2871] 104.05 62.54 87.54 76.81 198.12 78.00 75.82 240.86 263.56 118.44
## [2881] 97.37 80.51 78.88 83.61 73.19 68.91 104.30 87.87 96.70 91.05
## [2891] 200.14 73.04 108.68 107.82 141.09 122.38 103.60 159.70 118.22 84.50
## [2901] 84.42 235.45 207.71 99.84 98.05 105.90 107.55 146.21 79.94 72.28
## [2911] 82.68 125.89 228.05 98.23 119.90 94.53 103.79 88.51 97.26 104.66
## [2921] 223.14 105.51 83.42 101.24 91.19 174.43 214.51 72.64 62.69 141.16
## [2931] 76.42 60.09 65.46 131.19 74.54 231.31 91.57 238.78 87.18 110.28
## [2941] 71.66 83.64 233.59 97.95 58.19 70.11 112.77 75.46 63.63 100.22
## [2951] 81.77 94.25 188.13 164.70 68.27 100.12 151.23 112.41 205.97 190.89
## [2961] 138.02 66.16 102.10 193.87 130.00 74.00 97.25 79.95 162.24 69.68
## [2971] 98.35 75.73 85.86 80.34 73.76 108.18 85.23 189.88 197.11 100.08
## [2981] 68.62 84.07 99.65 82.33 94.49 108.71 64.94 98.22 192.47 66.51
## [2991] 87.47 103.37 110.17 109.88 199.38 55.72 75.67 88.18 95.94 86.93
## [3001] 111.10 92.00 79.21 83.97 202.98 60.70 83.68 69.92 136.96 95.32
## [3011] 107.78 198.32 100.16 112.69 79.77 87.41 226.38 124.64 69.42 77.68
## [3021] 112.79 236.79 219.82 82.05 104.08 101.57 71.32 143.97 239.19 78.45
## [3031] 87.29 82.49 83.15 111.94 104.77 104.26 113.84 114.71 61.54 133.62
## [3041] 111.96 112.44 123.61 84.68 206.62 114.54 204.92 56.74 59.74 123.83
## [3051] 226.84 93.20 80.17 234.35 116.25 96.95 66.24 91.81 118.88 85.91
## [3061] 115.40 75.34 100.19 200.73 114.09 67.30 96.91 72.54 89.16 83.66
## [3071] 81.21 95.86 202.51 109.81 105.49 101.53 126.04 89.38 218.00 79.70
## [3081] 209.15 70.22 83.57 162.72 78.28 196.50 83.78 86.10 66.96 76.70
## [3091] 103.12 74.15 115.16 83.55 61.53 100.74 59.31 63.22 113.95 119.32
## [3101] 99.12 152.84 78.23 76.05 116.49 99.91 76.10 121.99 116.21 55.28
## [3111] 219.81 103.73 153.08 98.69 94.11 117.03 82.48 84.19 87.50 133.13
## [3121] 96.10 108.61 138.55 234.27 75.16 101.19 107.74 62.32 56.32 131.28
## [3131] 125.98 88.05 55.47 145.94 239.21 196.08 93.93 83.74 119.58 65.79
## [3141] 176.38 175.74 193.45 86.21 75.41 95.28 95.87 180.45 95.39 102.84
## [3151] 130.37 65.44 79.84 70.07 112.11 92.35 69.50 219.38 69.48 68.09
## [3161] 56.21 72.08 84.66 68.12 59.14 85.64 99.00 105.75 57.42 100.01
## [3171] 118.46 72.12 155.23 67.10 58.01 173.90 106.27 60.57 105.34 96.28
## [3181] 122.73 69.74 106.95 76.12 99.94 145.46 74.42 89.85 157.77 101.81
## [3191] 103.00 101.85 56.85 89.04 63.01 68.60 65.21 72.53 81.78 116.85
## [3201] 96.21 117.04 58.24 82.53 129.73 56.79 105.88 217.94 69.89 91.04
## [3211] 87.20 109.12 216.64 74.28 57.60 173.97 65.25 102.39 71.08 159.67
## [3221] 93.96 103.01 208.85 122.39 65.91 70.25 219.70 65.70 67.08 107.58
## [3231] 68.17 106.10 56.13 104.03 84.35 67.99 118.93 185.28 88.32 69.54
## [3241] 62.12 198.30 100.06 91.09 62.02 103.11 97.34 78.76 206.66 95.79
## [3251] 83.88 116.78 117.63 60.01 64.60 92.43 87.79 99.64 200.68 98.37
## [3261] 117.98 218.60 79.51 223.26 97.22 172.27 221.83 74.61 69.79 83.60
## [3271] 83.95 77.50 64.29 100.71 119.77 59.67 218.10 76.45 200.46 95.70
## [3281] 75.15 95.80 90.67 147.50 134.12 82.62 125.11 217.79 93.80 90.61
## [3291] 139.20 77.01 105.26 147.74 90.74 159.79 233.47 85.53 67.87 77.26
## [3301] 129.19 97.86 112.33 91.58 58.86 76.88 109.52 103.58 64.27 200.98
## [3311] 101.96 84.17 71.46 82.14 219.67 135.84 74.83 60.37 67.28 77.79
## [3321] 90.38 156.69 207.60 158.90 247.97 58.55 231.15 68.18 118.75 186.54
## [3331] 96.14 71.58 83.10 110.96 122.83 118.85 96.19 98.07 71.40 158.33
## [3341] 72.18 89.31 64.84 92.76 87.00 145.25 125.14 57.59 59.43 65.43
## [3351] 154.03 139.81 106.84 221.06 69.97 77.07 109.39 93.97 163.17 124.39
## [3361] 212.62 77.60 70.51 109.19 55.23 120.15 72.16 95.89 64.68 66.47
## [3371] 146.08 108.96 113.41 111.08 217.74 78.50 80.20 76.52 208.99 99.72
## [3381] 197.36 98.56 123.08 75.00 60.64 59.11 58.89 129.66 73.57 72.04
## [3391] 125.63 77.94 68.99 111.76 80.27 79.22 142.63 97.05 222.52 70.38
## [3401] 114.46 64.62 70.19 55.35 103.29 92.74 232.64 82.46 63.57 73.24
## [3411] 57.46 104.16 119.40 119.13 120.22 57.96 81.24 70.91 87.12 126.09
## [3421] 131.81 95.23 71.18 87.71 115.68 207.37 75.10 111.84 201.96 68.68
## [3431] 91.16 123.89 90.44 138.44 102.76 71.79 167.16 131.05 86.92 103.72
## [3441] 77.10 77.72 76.09 61.80 92.97 83.73 108.32 103.65 86.19 131.42
## [3451] 69.46 76.78 213.43 115.07 69.45 108.63 88.06 248.24 57.79 87.40
## [3461] 77.43 101.12 79.42 82.94 81.58 62.21 229.94 116.06 117.77 66.69
## [3471] 122.23 168.68 77.95 80.35 57.38 96.47 70.66 202.06 91.30 67.56
## [3481] 126.12 103.22 63.90 253.93 134.65 194.75 56.94 207.84 228.26 57.09
## [3491] 132.46 75.13 76.64 91.32 85.90 63.42 112.02 203.76 101.46 74.66
## [3501] 205.78 111.24 134.76 110.10 113.08 77.77 83.59 179.67 91.89 230.74
## [3511] 216.19 200.66 73.99 228.50 70.43 74.39 102.92 87.91 232.29 125.32
## [3521] 100.20 200.91 95.24 56.64 80.48 236.04 61.13 88.56 88.98 86.85
## [3531] 94.37 254.95 107.33 80.94 196.58 55.79 73.08 189.82 101.06 108.38
## [3541] 68.01 90.11 193.61 195.74 141.37 90.71 106.80 85.18 74.24 79.98
## [3551] 106.76 221.24 55.93 73.94 65.58 83.80 112.83 103.08 85.98 83.75
## [3561] 125.43 101.58 149.80 112.55 92.96 85.08 112.37 151.26 73.81 77.20
## [3571] 76.08 123.98 108.51 99.01 69.47 88.00 144.14 105.72 64.37 146.10
## [3581] 192.50 103.50 89.42 212.92 60.73 86.95 73.98 124.78 191.94 247.87
## [3591] 83.20 88.62 101.76 115.71 229.73 57.40 100.47 81.36 261.67 110.20
## [3601] 95.19 83.03 89.41 71.77 256.74 63.74 221.08 60.17 153.24 82.42
## [3611] 126.57 80.54 76.47 106.52 89.73 208.39 128.61 57.56 227.23 77.76
## [3621] 203.27 234.50 71.12 190.67 82.95 112.75 82.63 92.75 197.06 216.07
## [3631] 108.82 101.66 121.15 116.62 144.33 80.67 94.27 76.35 179.14 63.49
## [3641] 145.18 120.56 150.74 135.82 106.53 79.62 141.84 102.00 68.07 102.03
## [3651] 235.06 57.52 76.98 84.04 92.24 112.70 74.34 72.99 104.90 94.14
## [3661] 195.43 200.25 95.33 85.65 223.64 76.43 98.66 75.84 85.46 199.78
## [3671] 176.42 101.56 72.88 70.89 108.14 244.30 106.73 127.40 58.23 58.64
## [3681] 78.08 105.08 61.38 223.16 76.00 90.28 65.22 166.38 78.91 226.28
## [3691] 90.73 172.86 213.92 68.42 94.68 125.33 212.19 89.00 84.99 62.13
## [3701] 57.10 94.06 200.80 77.96 60.13 88.17 84.41 72.34 68.72 222.58
## [3711] 66.06 156.43 73.07 99.48 79.60 61.07 63.43 102.73 122.43 80.44
## [3721] 206.53 96.82 88.10 64.85 97.68 74.16 100.93 232.78 110.14 120.44
## [3731] 187.47 95.31 75.07 106.65 234.06 144.15 58.81 242.62 65.68 150.00
## [3741] 63.56 96.98 66.70 79.66 104.09 90.96 152.38 174.54 106.47 73.63
## [3751] 98.52 62.93 120.43 76.56 67.90 115.46 123.94 231.54 219.80 187.99
## [3761] 234.45 75.47 98.24 66.20 75.95 111.79 80.89 86.91 59.36 240.69
## [3771] 139.87 83.62 110.97 115.91 62.64 84.81 217.57 79.76 63.28 70.48
## [3781] 120.96 97.65 121.83 81.53 109.09 66.71 114.92 165.36 107.06 65.63
## [3791] 63.82 108.06 136.18 71.29 76.58 109.30 97.64 110.32 79.00 137.27
## [3801] 57.83 234.51 142.64 79.61 182.22 67.26 60.02 113.45 112.31 57.15
## [3811] 214.73 63.41 106.24 83.01 74.99 119.30 208.69 95.18 107.72 90.29
## [3821] 81.87 153.31 86.58 113.26 84.92 128.17 89.43 101.60 231.72 102.13
## [3831] 100.88 66.22 109.33 103.66 77.45 193.80 69.25 88.44 84.09 92.64
## [3841] 99.36 135.63 81.88 65.45 203.01 110.84 55.12 105.91 61.57 97.99
## [3851] 63.27 177.56 132.85 198.84 87.17 96.03 84.54 56.87 243.52 69.06
## [3861] 110.23 79.49 89.33 238.27 135.79 82.19 208.31 69.84 121.71 98.61
## [3871] 86.61 107.02 103.69 74.12 176.34 67.21 94.23 111.36 117.31 84.94
## [3881] 68.86 132.88 211.83 124.92 215.69 154.67 67.66 153.48 62.63 80.30
## [3891] 106.69 140.14 111.37 57.06 112.25 81.06 104.37 124.31 101.95 116.95
## [3901] 105.48 100.60 65.05 75.90 267.60 215.07 225.35 196.26 95.42 85.88
## [3911] 107.43 102.15 88.68 182.52 124.66 212.87 96.75 71.34 183.43 126.85
## [3921] 74.17 76.04 185.27 81.90 99.58 124.54 153.34 112.35 160.76 206.49
## [3931] 117.59 116.68 253.86 203.36 125.87 64.09 175.92 100.65 112.39 81.10
## [3941] 98.30 191.15 55.84 92.06 89.29 120.23 223.78 211.58 179.38 193.88
## [3951] 89.01 118.41 138.51 120.03 91.01 61.98 135.32 58.72 104.00 174.37
## [3961] 76.31 77.28 90.52 108.35 72.03 90.57 97.04 152.56 75.93 76.89
## [3971] 95.05 95.02 79.15 76.62 83.94 125.20 82.99 166.29 85.28table(healthcare_dataset_stroke_data$avg_glucose_level)##
## 55.12 55.22 55.23 55.25 55.26 55.27 55.28 55.32 55.34 55.35 55.39
## 1 1 1 1 1 1 1 1 2 1 1
## 55.41 55.42 55.46 55.47 55.51 55.57 55.58 55.59 55.61 55.62 55.64
## 1 1 1 1 1 1 1 1 1 1 1
## 55.67 55.72 55.78 55.79 55.83 55.84 55.86 55.93 55.96 56.07 56.08
## 1 1 1 1 1 1 1 1 1 2 2
## 56.11 56.12 56.13 56.18 56.21 56.23 56.3 56.31 56.32 56.33 56.34
## 4 2 1 1 1 1 2 1 1 2 1
## 56.37 56.42 56.43 56.47 56.48 56.51 56.63 56.64 56.67 56.71 56.74
## 1 2 1 1 2 1 1 1 1 1 1
## 56.75 56.77 56.79 56.84 56.85 56.87 56.89 56.9 56.94 56.95 56.96
## 2 1 1 1 2 1 1 2 1 1 1
## 56.99 57.02 57.06 57.08 57.09 57.1 57.15 57.17 57.26 57.27 57.28
## 1 3 1 1 1 1 1 1 1 1 2
## 57.3 57.33 57.37 57.38 57.4 57.42 57.43 57.46 57.47 57.51 57.52
## 1 2 1 1 1 2 1 1 1 2 1
## 57.56 57.57 57.59 57.6 57.76 57.77 57.79 57.8 57.82 57.83 57.89
## 2 2 1 1 1 1 1 1 1 1 1
## 57.92 57.93 57.94 57.95 57.96 58.01 58.02 58.03 58.09 58.14 58.19
## 2 2 1 1 1 2 1 1 1 1 2
## 58.23 58.24 58.25 58.26 58.29 58.3 58.35 58.37 58.38 58.39 58.41
## 1 1 1 1 1 1 2 1 1 2 1
## 58.42 58.47 58.48 58.51 58.55 58.57 58.63 58.64 58.65 58.66 58.69
## 2 1 1 1 1 1 2 1 2 2 1
## 58.7 58.71 58.72 58.81 58.86 58.87 58.88 58.89 58.95 58.96 59
## 1 1 1 1 1 1 1 1 1 1 1
## 59.05 59.07 59.11 59.14 59.15 59.17 59.2 59.26 59.28 59.31 59.32
## 2 1 1 1 1 1 2 1 2 1 1
## 59.35 59.36 59.43 59.48 59.49 59.52 59.54 59.61 59.62 59.63 59.67
## 1 1 1 1 2 2 1 2 2 1 2
## 59.68 59.74 59.76 59.78 59.82 59.83 59.85 59.86 59.87 59.89 59.91
## 1 2 1 1 1 1 1 1 1 1 2
## 59.93 59.99 60.01 60.02 60.05 60.06 60.09 60.13 60.17 60.2 60.22
## 1 1 1 1 1 1 1 1 1 1 3
## 60.26 60.32 60.34 60.35 60.36 60.37 60.39 60.4 60.41 60.5 60.53
## 1 2 1 1 1 1 2 1 1 1 1
## 60.56 60.57 60.6 60.61 60.64 60.67 60.69 60.7 60.73 60.74 60.77
## 1 1 2 2 1 2 1 2 1 1 2
## 60.84 60.91 60.94 60.96 60.98 60.99 61.01 61.04 61.07 61.1 61.11
## 1 2 1 1 4 1 1 1 1 2 2
## 61.13 61.27 61.29 61.32 61.34 61.36 61.38 61.42 61.45 61.47 61.53
## 1 1 2 1 1 1 1 2 1 1 1
## 61.54 61.57 61.61 61.67 61.68 61.75 61.78 61.8 61.81 61.83 61.87
## 2 1 1 1 1 1 1 1 2 1 1
## 61.88 61.94 61.96 61.98 62 62.02 62.08 62.12 62.13 62.2 62.21
## 2 3 1 1 2 1 1 1 2 1 1
## 62.25 62.27 62.32 62.37 62.4 62.41 62.44 62.46 62.47 62.48 62.49
## 1 1 1 1 1 1 2 1 2 3 1
## 62.52 62.54 62.55 62.56 62.57 62.6 62.61 62.62 62.63 62.64 62.66
## 1 1 1 2 3 3 2 1 1 1 2
## 62.67 62.68 62.69 62.78 62.81 62.89 62.91 62.93 62.99 63.01 63.08
## 1 2 1 1 1 2 1 1 2 1 1
## 63.16 63.18 63.19 63.22 63.26 63.27 63.28 63.32 63.33 63.37 63.4
## 1 1 1 1 1 1 2 1 1 1 1
## 63.41 63.42 63.43 63.45 63.47 63.49 63.53 63.56 63.57 63.6 63.61
## 1 1 1 1 1 1 1 1 1 1 1
## 63.63 63.64 63.65 63.69 63.71 63.72 63.73 63.74 63.78 63.82 63.86
## 1 1 1 1 2 1 2 1 2 1 1
## 63.9 63.94 63.95 63.98 64.02 64.06 64.07 64.08 64.09 64.1 64.14
## 1 1 1 3 1 1 1 1 1 1 1
## 64.15 64.17 64.18 64.2 64.27 64.29 64.37 64.4 64.41 64.44 64.45
## 1 1 1 1 1 1 1 2 1 2 2
## 64.51 64.55 64.6 64.62 64.64 64.66 64.68 64.84 64.85 64.87 64.92
## 2 1 1 1 1 2 1 1 1 1 2
## 64.94 64.99 65.01 65.04 65.05 65.07 65.08 65.09 65.12 65.15 65.16
## 1 1 2 1 1 1 1 1 3 1 1
## 65.21 65.22 65.24 65.25 65.28 65.29 65.3 65.32 65.33 65.34 65.36
## 2 1 1 1 1 2 2 1 2 1 3
## 65.38 65.4 65.41 65.42 65.43 65.44 65.45 65.46 65.47 65.48 65.49
## 2 1 2 2 1 1 1 1 2 2 1
## 65.5 65.51 65.52 65.58 65.59 65.6 65.61 65.63 65.66 65.67 65.68
## 1 2 1 1 1 1 1 1 2 2 1
## 65.69 65.7 65.71 65.77 65.78 65.79 65.81 65.82 65.84 65.85 65.87
## 1 1 1 2 1 1 1 1 2 1 1
## 65.88 65.9 65.91 65.93 65.95 65.96 65.98 66.01 66.03 66.06 66.07
## 1 1 1 1 1 2 3 1 1 1 1
## 66.08 66.11 66.12 66.13 66.16 66.17 66.2 66.22 66.24 66.25 66.29
## 1 2 1 1 2 1 1 1 1 1 1
## 66.3 66.32 66.33 66.36 66.42 66.46 66.47 66.51 66.55 66.59 66.61
## 2 2 1 1 1 2 1 1 3 1 1
## 66.67 66.69 66.7 66.71 66.72 66.85 66.96 67.02 67.03 67.06 67.07
## 2 1 1 1 1 1 1 2 1 3 2
## 67.08 67.1 67.21 67.26 67.27 67.28 67.29 67.3 67.33 67.38 67.39
## 1 2 1 1 1 1 2 1 1 1 1
## 67.41 67.5 67.53 67.55 67.56 67.66 67.68 67.73 67.75 67.76 67.78
## 1 2 1 2 1 1 2 1 1 1 1
## 67.79 67.8 67.81 67.84 67.87 67.9 67.92 67.96 67.97 67.99 68.01
## 1 1 1 2 2 1 4 1 3 2 1
## 68.02 68.07 68.09 68.12 68.13 68.17 68.18 68.19 68.24 68.27 68.34
## 1 1 1 1 1 1 1 2 2 2 3
## 68.35 68.37 68.38 68.4 68.41 68.42 68.43 68.44 68.48 68.49 68.52
## 3 2 2 3 1 1 1 1 2 1 2
## 68.53 68.56 68.6 68.61 68.62 68.66 68.68 68.7 68.72 68.76 68.78
## 2 1 1 1 1 3 1 1 1 1 1
## 68.79 68.8 68.84 68.86 68.88 68.91 68.94 68.96 68.98 68.99 69.01
## 1 2 1 1 1 1 2 1 1 1 2
## 69.04 69.06 69.09 69.11 69.12 69.15 69.16 69.17 69.18 69.2 69.21
## 1 1 1 1 2 1 1 1 1 2 1
## 69.22 69.23 69.24 69.25 69.26 69.28 69.3 69.34 69.35 69.37 69.38
## 1 1 4 1 1 1 1 2 1 2 2
## 69.4 69.42 69.45 69.46 69.47 69.48 69.5 69.52 69.53 69.54 69.58
## 2 1 1 1 1 1 1 2 1 1 1
## 69.61 69.67 69.68 69.7 69.72 69.74 69.76 69.77 69.79 69.82 69.84
## 1 1 1 1 2 1 1 2 1 1 1
## 69.87 69.88 69.89 69.91 69.92 69.94 69.97 69.99 70 70.01 70.02
## 1 3 1 1 2 2 1 1 2 1 1
## 70.03 70.04 70.06 70.07 70.08 70.09 70.11 70.13 70.15 70.16 70.18
## 2 1 1 2 1 1 1 2 2 2 1
## 70.19 70.21 70.22 70.23 70.25 70.28 70.29 70.3 70.31 70.32 70.33
## 1 1 1 2 1 2 1 1 1 1 1
## 70.34 70.35 70.37 70.38 70.43 70.45 70.48 70.51 70.52 70.53 70.54
## 1 1 1 1 1 1 1 3 1 2 2
## 70.55 70.56 70.58 70.59 70.61 70.65 70.66 70.67 70.7 70.71 70.73
## 1 2 1 1 1 1 1 1 1 1 2
## 70.75 70.78 70.87 70.89 70.91 70.92 70.93 70.94 70.96 70.98 71.02
## 1 1 2 1 1 1 2 1 2 1 1
## 71.06 71.08 71.12 71.15 71.16 71.18 71.2 71.22 71.25 71.26 71.29
## 4 2 1 1 1 1 2 2 2 1 1
## 71.3 71.31 71.32 71.34 71.37 71.38 71.4 71.42 71.43 71.44 71.46
## 1 1 1 1 1 2 2 1 1 1 1
## 71.5 71.58 71.59 71.63 71.66 71.7 71.71 71.73 71.77 71.79 71.8
## 2 1 1 2 1 1 1 1 1 1 2
## 71.81 71.88 71.89 71.91 71.92 71.93 71.94 71.97 71.98 72 72.01
## 3 2 1 1 1 2 1 2 1 1 1
## 72.02 72.03 72.04 72.06 72.07 72.08 72.09 72.1 72.12 72.13 72.16
## 1 1 1 1 1 1 2 1 1 1 1
## 72.17 72.18 72.19 72.2 72.28 72.29 72.33 72.34 72.35 72.36 72.39
## 1 1 1 2 1 1 1 1 1 2 1
## 72.42 72.49 72.5 72.52 72.53 72.54 72.55 72.56 72.6 72.61 72.62
## 1 5 1 2 1 1 1 2 1 2 1
## 72.63 72.64 72.65 72.67 72.71 72.73 72.75 72.76 72.79 72.81 72.84
## 1 1 1 1 2 1 1 2 2 2 2
## 72.88 72.93 72.94 72.96 72.99 73 73.01 73.02 73.04 73.06 73.07
## 1 1 1 2 1 5 1 2 1 1 1
## 73.08 73.18 73.19 73.2 73.24 73.27 73.28 73.29 73.31 73.32 73.33
## 1 2 1 3 1 3 1 3 1 1 1
## 73.36 73.37 73.39 73.4 73.41 73.44 73.48 73.49 73.5 73.54 73.56
## 2 1 1 1 1 1 3 1 2 2 2
## 73.57 73.58 73.6 73.62 73.63 73.65 73.66 73.67 73.69 73.7 73.71
## 1 1 1 2 1 1 1 1 2 1 2
## 73.72 73.73 73.74 73.75 73.76 73.78 73.81 73.83 73.87 73.89 73.92
## 2 1 1 2 2 1 1 1 3 2 1
## 73.94 73.98 73.99 74 74.01 74.02 74.04 74.05 74.06 74.08 74.09
## 1 1 1 2 1 2 1 1 1 1 1
## 74.1 74.11 74.12 74.14 74.15 74.16 74.17 74.19 74.2 74.22 74.23
## 1 2 1 1 1 1 1 1 1 1 1
## 74.24 74.26 74.28 74.29 74.32 74.33 74.34 74.35 74.36 74.39 74.42
## 1 1 1 2 1 1 1 3 2 1 1
## 74.43 74.44 74.46 74.5 74.51 74.52 74.53 74.54 74.55 74.58 74.61
## 2 1 1 2 2 1 1 1 1 1 1
## 74.63 74.64 74.65 74.66 74.7 74.72 74.79 74.8 74.81 74.82 74.83
## 3 2 1 1 1 1 2 2 1 1 1
## 74.85 74.86 74.88 74.9 74.91 74.96 74.98 74.99 75 75.02 75.03
## 1 2 2 2 1 2 1 1 1 1 1
## 75.04 75.05 75.06 75.07 75.08 75.09 75.1 75.13 75.15 75.16 75.18
## 1 1 3 1 1 2 1 1 1 1 1
## 75.19 75.22 75.23 75.25 75.27 75.28 75.29 75.3 75.32 75.34 75.39
## 2 3 1 2 1 1 1 1 1 1 1
## 75.4 75.41 75.42 75.43 75.46 75.47 75.5 75.52 75.53 75.56 75.62
## 1 1 1 1 1 1 2 1 2 1 1
## 75.64 75.67 75.69 75.7 75.73 75.74 75.77 75.78 75.79 75.82 75.84
## 1 1 1 1 1 1 3 2 1 1 1
## 75.85 75.86 75.87 75.88 75.9 75.91 75.92 75.93 75.94 75.95 75.98
## 1 1 1 2 1 1 1 1 1 1 1
## 76 76.03 76.04 76.05 76.08 76.09 76.1 76.11 76.12 76.13 76.15
## 1 2 1 1 1 1 1 2 3 1 1
## 76.19 76.2 76.21 76.22 76.25 76.26 76.28 76.3 76.31 76.34 76.35
## 2 1 1 1 1 2 1 1 1 3 1
## 76.36 76.42 76.43 76.44 76.45 76.46 76.47 76.5 76.51 76.52 76.55
## 1 2 1 1 1 1 1 1 2 1 2
## 76.56 76.57 76.58 76.62 76.63 76.64 76.66 76.68 76.7 76.72 76.74
## 1 2 1 1 2 2 2 1 2 2 3
## 76.77 76.78 76.79 76.81 76.82 76.83 76.88 76.89 76.92 76.93 76.98
## 1 1 1 1 1 1 1 1 1 1 1
## 76.99 77.01 77.04 77.06 77.07 77.08 77.1 77.12 77.16 77.19 77.2
## 1 1 2 1 1 2 1 3 2 2 1
## 77.23 77.24 77.26 77.28 77.29 77.3 77.32 77.33 77.35 77.37 77.42
## 1 1 1 1 2 1 1 1 1 1 2
## 77.43 77.44 77.45 77.46 77.48 77.49 77.5 77.51 77.52 77.53 77.54
## 1 1 1 3 1 1 1 1 3 1 2
## 77.55 77.57 77.59 77.6 77.63 77.65 77.66 77.67 77.68 77.72 77.73
## 4 2 2 1 1 1 1 4 1 1 1
## 77.75 77.76 77.77 77.79 77.82 77.83 77.86 77.87 77.88 77.91 77.92
## 1 1 1 1 3 1 1 1 1 3 2
## 77.93 77.94 77.95 77.96 77.99 78 78.02 78.03 78.04 78.05 78.08
## 3 2 1 1 2 1 1 1 2 3 1
## 78.09 78.11 78.12 78.14 78.16 78.18 78.23 78.24 78.26 78.28 78.29
## 1 2 1 1 2 2 1 4 2 1 3
## 78.3 78.32 78.34 78.35 78.38 78.4 78.42 78.43 78.44 78.45 78.46
## 1 2 2 1 1 1 1 3 1 1 2
## 78.48 78.49 78.5 78.52 78.53 78.57 78.59 78.65 78.68 78.7 78.73
## 3 1 1 1 1 1 2 1 2 2 1
## 78.74 78.75 78.76 78.78 78.79 78.8 78.81 78.85 78.88 78.9 78.91
## 1 1 1 1 3 2 1 2 1 2 1
## 78.92 78.93 78.94 78.96 78.97 78.98 78.99 79 79.02 79.03 79.05
## 1 3 2 1 1 2 1 1 1 3 2
## 79.08 79.09 79.13 79.14 79.15 79.16 79.17 79.18 79.2 79.21 79.22
## 1 1 1 1 1 2 2 2 3 1 1
## 79.25 79.26 79.27 79.3 79.33 79.34 79.35 79.36 79.39 79.42 79.44
## 1 1 1 2 3 1 2 1 2 1 2
## 79.47 79.49 79.51 79.53 79.54 79.55 79.56 79.57 79.58 79.59 79.6
## 1 1 1 2 1 2 1 2 2 2 2
## 79.61 79.62 79.63 79.64 79.66 79.69 79.7 79.73 79.76 79.77 79.79
## 1 1 2 1 1 1 1 1 1 1 2
## 79.8 79.81 79.82 79.83 79.84 79.85 79.87 79.89 79.91 79.92 79.94
## 2 3 1 1 1 1 1 4 1 2 2
## 79.95 79.96 79.98 79.99 80 80.01 80.05 80.06 80.07 80.08 80.09
## 1 1 1 1 2 1 1 1 2 4 1
## 80.1 80.13 80.15 80.17 80.18 80.19 80.2 80.21 80.22 80.24 80.25
## 1 1 1 1 1 1 1 1 1 1 1
## 80.27 80.28 80.3 80.33 80.34 80.35 80.4 80.42 80.43 80.44 80.47
## 1 2 1 1 1 1 1 2 2 2 2
## 80.48 80.51 80.54 80.55 80.57 80.59 80.63 80.67 80.72 80.73 80.74
## 1 1 1 2 3 1 4 1 4 1 1
## 80.75 80.76 80.77 80.79 80.8 80.81 80.82 80.83 80.84 80.85 80.86
## 1 1 1 1 2 2 2 2 1 2 2
## 80.88 80.89 80.92 80.93 80.94 80.96 80.97 80.98 80.99 81 81.02
## 2 1 3 2 1 1 1 2 1 2 1
## 81.03 81.05 81.06 81.1 81.11 81.13 81.15 81.18 81.2 81.21 81.24
## 1 2 1 1 2 2 1 2 1 2 1
## 81.25 81.26 81.28 81.31 81.32 81.33 81.36 81.38 81.42 81.43 81.44
## 2 2 1 2 2 2 1 2 2 1 1
## 81.51 81.53 81.54 81.58 81.59 81.6 81.64 81.66 81.68 81.71 81.73
## 4 1 3 1 2 1 2 2 3 1 2
## 81.74 81.76 81.77 81.78 81.84 81.87 81.88 81.9 81.92 81.94 81.95
## 1 2 3 2 1 1 1 1 2 2 1
## 81.96 81.99 82 82.01 82.02 82.05 82.06 82.07 82.08 82.09 82.1
## 3 1 1 1 1 1 1 2 2 2 2
## 82.12 82.13 82.14 82.15 82.18 82.19 82.2 82.21 82.24 82.25 82.26
## 1 1 1 1 2 1 1 2 2 1 2
## 82.27 82.28 82.3 82.31 82.32 82.33 82.34 82.35 82.36 82.37 82.38
## 2 1 2 2 1 1 2 2 1 1 2
## 82.39 82.4 82.41 82.42 82.43 82.44 82.46 82.47 82.48 82.49 82.53
## 3 1 3 1 1 3 1 1 1 1 1
## 82.56 82.57 82.58 82.59 82.61 82.62 82.63 82.64 82.67 82.68 82.69
## 2 3 1 3 1 2 1 3 1 1 1
## 82.71 82.72 82.73 82.77 82.81 82.83 82.84 82.85 82.86 82.88 82.89
## 1 2 1 1 3 2 1 3 1 1 1
## 82.9 82.91 82.93 82.94 82.95 82.99 83.01 83.02 83.03 83.06 83.07
## 1 2 2 1 1 1 1 1 1 1 2
## 83.09 83.1 83.12 83.13 83.14 83.15 83.16 83.2 83.23 83.24 83.26
## 1 2 2 2 2 1 5 1 1 1 2
## 83.27 83.28 83.3 83.33 83.34 83.37 83.41 83.42 83.43 83.44 83.5
## 2 1 2 1 1 2 2 1 1 1 2
## 83.51 83.52 83.53 83.55 83.56 83.57 83.58 83.59 83.6 83.61 83.62
## 3 2 1 2 2 1 1 1 1 1 1
## 83.64 83.65 83.66 83.68 83.7 83.73 83.74 83.75 83.76 83.78 83.79
## 1 1 1 1 2 1 1 3 1 1 2
## 83.8 83.82 83.83 83.84 83.85 83.86 83.88 83.89 83.91 83.93 83.94
## 1 1 2 2 1 1 2 2 3 1 1
## 83.95 83.97 84.02 84.03 84.04 84.06 84.07 84.08 84.09 84.1 84.11
## 1 1 1 3 2 1 2 2 1 5 1
## 84.12 84.13 84.14 84.16 84.17 84.18 84.19 84.2 84.21 84.25 84.27
## 2 2 1 1 1 2 1 2 2 1 1
## 84.3 84.31 84.35 84.37 84.38 84.4 84.41 84.42 84.43 84.44 84.46
## 2 3 1 1 1 4 1 1 2 1 3
## 84.47 84.48 84.49 84.5 84.54 84.56 84.58 84.59 84.6 84.62 84.63
## 1 2 2 1 1 1 1 2 2 1 1
## 84.66 84.68 84.69 84.7 84.75 84.78 84.79 84.81 84.84 84.85 84.86
## 1 2 1 1 1 1 3 1 1 2 4
## 84.88 84.9 84.91 84.92 84.93 84.94 84.96 84.99 85 85.02 85.03
## 2 2 1 1 3 1 1 1 2 1 2
## 85.04 85.06 85.07 85.08 85.12 85.13 85.15 85.16 85.17 85.18 85.22
## 2 1 3 1 2 1 1 2 2 1 1
## 85.23 85.27 85.28 85.29 85.33 85.35 85.37 85.38 85.46 85.48 85.51
## 1 2 1 2 2 1 1 1 1 1 1
## 85.52 85.53 85.54 85.55 85.57 85.59 85.6 85.62 85.64 85.65 85.66
## 2 1 1 1 2 2 3 2 1 1 2
## 85.68 85.77 85.79 85.81 85.82 85.83 85.84 85.86 85.87 85.88 85.9
## 1 2 2 4 3 1 4 1 1 1 1
## 85.91 85.92 85.96 85.97 85.98 85.99 86 86.03 86.04 86.05 86.06
## 1 2 1 1 1 1 3 1 1 2 4
## 86.07 86.09 86.1 86.11 86.15 86.19 86.21 86.23 86.24 86.25 86.26
## 2 2 1 2 1 1 3 1 2 2 1
## 86.3 86.32 86.33 86.34 86.35 86.36 86.37 86.38 86.39 86.4 86.46
## 2 1 1 1 1 2 1 1 1 2 1
## 86.49 86.51 86.53 86.55 86.57 86.58 86.6 86.61 86.62 86.67 86.68
## 1 1 2 2 2 1 2 1 1 2 1
## 86.7 86.73 86.74 86.75 86.78 86.84 86.85 86.86 86.87 86.91 86.92
## 1 1 1 1 2 1 1 2 1 1 1
## 86.93 86.94 86.95 86.96 86.97 86.99 87 87.01 87.03 87.06 87.08
## 1 1 1 3 2 2 2 1 1 2 1
## 87.09 87.1 87.11 87.12 87.15 87.16 87.17 87.18 87.2 87.21 87.23
## 1 2 1 1 3 2 1 1 1 1 1
## 87.24 87.25 87.26 87.27 87.29 87.33 87.34 87.39 87.4 87.41 87.43
## 1 1 1 1 1 1 1 2 2 1 1
## 87.44 87.47 87.49 87.5 87.51 87.52 87.54 87.56 87.62 87.66 87.69
## 1 1 1 1 2 2 2 1 2 1 2
## 87.7 87.71 87.72 87.74 87.77 87.78 87.79 87.8 87.81 87.82 87.84
## 1 1 4 2 2 1 1 1 2 1 1
## 87.85 87.86 87.87 87.88 87.91 87.92 87.93 87.94 87.95 87.96 87.98
## 1 1 1 1 1 2 1 2 1 2 2
## 88 88.02 88.04 88.05 88.06 88.1 88.11 88.13 88.17 88.18 88.19
## 1 1 2 1 1 1 1 1 1 1 2
## 88.2 88.23 88.24 88.27 88.29 88.31 88.32 88.33 88.34 88.38 88.39
## 3 2 1 2 1 1 1 1 1 2 1
## 88.41 88.43 88.44 88.47 88.48 88.49 88.5 88.51 88.52 88.53 88.54
## 1 1 1 2 1 1 1 3 1 1 1
## 88.56 88.57 88.6 88.62 88.63 88.65 88.66 88.68 88.69 88.75 88.78
## 1 2 2 1 1 3 1 1 1 1 1
## 88.79 88.81 88.82 88.83 88.85 88.88 88.89 88.9 88.92 88.97 88.98
## 3 2 1 4 2 1 1 1 1 3 1
## 89 89.01 89.02 89.03 89.04 89.05 89.06 89.11 89.13 89.14 89.16
## 1 1 1 2 1 1 2 4 1 2 1
## 89.17 89.18 89.21 89.22 89.24 89.28 89.29 89.3 89.31 89.32 89.33
## 1 2 1 2 2 2 1 3 1 3 1
## 89.37 89.38 89.41 89.42 89.43 89.44 89.45 89.52 89.53 89.57 89.58
## 1 1 1 1 1 2 2 1 2 2 1
## 89.59 89.61 89.63 89.68 89.7 89.72 89.73 89.74 89.75 89.77 89.81
## 1 3 1 4 1 1 1 1 1 1 1
## 89.83 89.84 89.85 89.86 89.87 89.88 89.93 89.95 89.96 89.98 89.99
## 1 1 1 1 1 1 1 1 3 1 1
## 90 90.01 90.04 90.06 90.07 90.1 90.11 90.12 90.15 90.16 90.19
## 3 2 1 2 2 1 2 1 1 2 2
## 90.21 90.22 90.26 90.28 90.29 90.3 90.31 90.35 90.36 90.38 90.39
## 1 2 2 1 1 2 2 3 1 1 1
## 90.4 90.42 90.43 90.44 90.46 90.49 90.51 90.52 90.54 90.55 90.57
## 2 4 3 1 1 1 2 1 2 2 1
## 90.58 90.6 90.61 90.62 90.65 90.66 90.67 90.68 90.69 90.71 90.73
## 2 2 1 1 2 1 1 1 1 1 1
## 90.74 90.77 90.78 90.84 90.87 90.9 90.91 90.92 90.95 90.96 90.97
## 1 3 2 1 1 2 1 2 1 1 1
## 91 91.01 91.02 91.04 91.05 91.08 91.09 91.13 91.16 91.18 91.19
## 1 1 2 2 2 3 1 1 1 1 1
## 91.21 91.23 91.25 91.28 91.3 91.32 91.34 91.35 91.36 91.44 91.45
## 2 1 2 2 1 1 2 2 1 1 2
## 91.46 91.47 91.53 91.54 91.56 91.57 91.58 91.6 91.61 91.63 91.65
## 1 1 2 2 1 1 1 1 1 2 3
## 91.68 91.69 91.71 91.72 91.81 91.82 91.85 91.88 91.89 91.9 91.92
## 5 1 1 1 1 3 5 1 2 1 1
## 91.93 91.95 91.96 91.97 91.98 92 92.02 92.04 92.06 92.08 92.11
## 2 1 1 1 2 1 1 2 1 1 2
## 92.13 92.14 92.15 92.16 92.17 92.2 92.21 92.22 92.23 92.24 92.26
## 1 3 1 1 1 1 2 2 2 1 2
## 92.27 92.3 92.32 92.34 92.35 92.37 92.39 92.4 92.43 92.44 92.48
## 1 1 2 1 1 1 1 1 1 1 1
## 92.49 92.56 92.59 92.62 92.64 92.65 92.67 92.7 92.71 92.72 92.73
## 2 1 3 2 1 3 1 1 2 1 2
## 92.74 92.75 92.76 92.77 92.78 92.81 92.82 92.86 92.87 92.9 92.95
## 1 1 1 1 1 2 4 3 3 1 2
## 92.96 92.97 92.98 92.99 93 93.02 93.03 93.04 93.05 93.07 93.11
## 1 1 2 1 1 1 1 2 1 1 1
## 93.13 93.14 93.15 93.17 93.18 93.2 93.21 93.23 93.24 93.25 93.28
## 2 1 1 1 1 2 2 1 2 1 2
## 93.29 93.3 93.34 93.36 93.47 93.48 93.51 93.52 93.55 93.58 93.6
## 1 3 1 1 1 2 3 2 4 2 2
## 93.61 93.62 93.64 93.67 93.68 93.71 93.72 93.73 93.74 93.76 93.77
## 1 1 1 3 1 1 2 1 4 1 1
## 93.78 93.79 93.8 93.81 93.85 93.88 93.89 93.9 93.93 93.96 93.97
## 1 1 1 1 2 6 1 1 2 1 2
## 93.99 94 94.03 94.04 94.06 94.07 94.09 94.11 94.12 94.14 94.15
## 1 1 1 1 1 1 1 1 3 1 2
## 94.18 94.19 94.2 94.22 94.23 94.24 94.25 94.26 94.27 94.29 94.3
## 1 2 1 1 1 2 1 1 1 1 2
## 94.33 94.34 94.37 94.38 94.39 94.4 94.44 94.45 94.47 94.48 94.49
## 1 1 1 1 2 1 1 1 1 1 1
## 94.53 94.59 94.61 94.62 94.63 94.64 94.65 94.66 94.67 94.68 94.69
## 1 1 1 2 2 1 1 1 2 1 1
## 94.71 94.75 94.76 94.77 94.78 94.88 94.89 94.92 94.96 94.98 95.01
## 2 2 1 3 1 1 2 3 3 1 3
## 95.02 95.04 95.05 95.07 95.08 95.1 95.12 95.16 95.18 95.19 95.2
## 1 2 1 1 2 2 2 2 1 1 1
## 95.23 95.24 95.25 95.27 95.28 95.29 95.31 95.32 95.33 95.36 95.37
## 1 1 1 1 1 1 1 1 1 3 2
## 95.38 95.39 95.4 95.42 95.43 95.44 95.46 95.47 95.49 95.5 95.52
## 1 1 2 1 1 2 1 1 3 1 1
## 95.57 95.58 95.59 95.62 95.66 95.7 95.75 95.79 95.8 95.81 95.82
## 1 1 1 2 1 1 1 1 1 1 1
## 95.84 95.85 95.86 95.87 95.88 95.89 95.93 95.94 95.98 96 96.01
## 1 1 1 3 2 1 1 2 1 1 2
## 96.02 96.03 96.04 96.06 96.1 96.14 96.15 96.16 96.17 96.18 96.19
## 3 1 2 2 1 1 1 1 1 1 1
## 96.2 96.21 96.24 96.25 96.26 96.28 96.29 96.3 96.35 96.37 96.42
## 1 1 1 1 2 1 1 1 1 1 1
## 96.43 96.47 96.52 96.57 96.58 96.59 96.62 96.63 96.69 96.7 96.73
## 1 2 1 1 1 1 2 1 2 1 1
## 96.75 96.77 96.78 96.79 96.81 96.82 96.84 96.85 96.86 96.88 96.91
## 1 2 1 1 1 1 3 2 2 1 1
## 96.93 96.95 96.97 96.98 96.99 97.04 97.05 97.06 97.08 97.12 97.14
## 1 1 1 1 1 1 1 3 1 1 1
## 97.16 97.22 97.23 97.24 97.25 97.26 97.27 97.28 97.31 97.32 97.34
## 1 1 2 3 1 1 1 1 1 1 1
## 97.35 97.37 97.39 97.4 97.41 97.43 97.46 97.47 97.49 97.5 97.51
## 1 2 2 1 1 1 2 2 1 1 1
## 97.52 97.53 97.55 97.57 97.58 97.59 97.6 97.61 97.64 97.65 97.68
## 1 1 2 1 2 1 2 1 1 1 1
## 97.73 97.76 97.78 97.81 97.84 97.86 97.87 97.89 97.9 97.92 97.93
## 1 1 2 1 1 1 1 2 1 2 1
## 97.95 97.96 97.97 97.99 98.01 98.02 98.03 98.05 98.07 98.09 98.1
## 3 1 1 1 1 2 1 2 2 2 1
## 98.12 98.14 98.22 98.23 98.24 98.27 98.3 98.34 98.35 98.37 98.39
## 2 2 1 1 1 1 1 1 1 1 1
## 98.41 98.42 98.44 98.45 98.46 98.52 98.53 98.54 98.55 98.56 98.57
## 1 2 2 1 1 1 1 1 2 1 1
## 98.58 98.61 98.65 98.66 98.67 98.69 98.7 98.71 98.73 98.74 98.76
## 1 1 1 1 1 1 1 1 1 2 1
## 98.84 98.85 98.9 98.91 98.92 98.99 99 99.01 99.06 99.07 99.1
## 1 1 2 1 2 1 2 1 1 3 1
## 99.12 99.13 99.14 99.15 99.16 99.2 99.21 99.23 99.29 99.3 99.33
## 1 1 1 1 1 1 1 2 2 1 1
## 99.34 99.35 99.36 99.4 99.44 99.47 99.48 99.49 99.58 99.6 99.64
## 1 1 1 1 3 1 1 2 1 1 1
## 99.65 99.67 99.68 99.69 99.71 99.72 99.73 99.75 99.76 99.78 99.79
## 1 1 2 1 1 1 1 1 3 1 1
## 99.8 99.82 99.83 99.84 99.87 99.91 99.92 99.94 99.96 99.97 100.01
## 1 1 2 1 2 1 1 1 2 1 1
## 100.02 100.03 100.05 100.06 100.08 100.09 100.12 100.15 100.16 100.19 100.2
## 1 1 1 1 1 2 1 1 2 1 1
## 100.22 100.26 100.29 100.31 100.33 100.35 100.39 100.41 100.42 100.47 100.49
## 1 1 1 2 2 1 1 1 1 2 1
## 100.52 100.54 100.6 100.61 100.65 100.66 100.71 100.74 100.75 100.8 100.81
## 2 4 1 2 1 1 1 1 1 3 1
## 100.82 100.83 100.84 100.85 100.88 100.91 100.93 100.96 100.97 100.98 101.02
## 1 1 1 2 1 1 1 1 1 2 1
## 101.05 101.06 101.07 101.09 101.12 101.13 101.15 101.19 101.22 101.24 101.25
## 1 1 1 1 1 2 1 2 1 1 1
## 101.26 101.28 101.3 101.31 101.32 101.34 101.35 101.37 101.41 101.43 101.45
## 1 1 2 2 1 1 1 1 1 2 2
## 101.46 101.5 101.52 101.53 101.56 101.57 101.58 101.6 101.61 101.65 101.66
## 2 1 2 1 1 1 1 1 1 1 1
## 101.75 101.76 101.79 101.81 101.83 101.85 101.87 101.89 101.92 101.93 101.95
## 1 1 1 2 1 1 2 1 1 2 1
## 101.96 101.98 101.99 102 102.01 102.03 102.04 102.05 102.06 102.07 102.08
## 1 1 1 2 1 1 1 1 1 2 1
## 102.1 102.11 102.13 102.15 102.16 102.21 102.27 102.28 102.3 102.34 102.35
## 2 1 1 1 1 1 2 1 1 2 1
## 102.36 102.37 102.39 102.4 102.42 102.46 102.47 102.48 102.5 102.51 102.53
## 1 1 2 1 1 1 1 1 3 2 1
## 102.54 102.58 102.61 102.64 102.71 102.73 102.76 102.77 102.84 102.87 102.88
## 1 1 1 2 1 1 1 1 1 2 1
## 102.89 102.9 102.91 102.92 102.96 102.97 103 103.01 103.06 103.08 103.09
## 2 1 1 1 1 3 1 1 1 2 1
## 103.11 103.12 103.15 103.17 103.21 103.22 103.25 103.26 103.28 103.29 103.34
## 1 1 1 1 1 1 2 1 1 1 1
## 103.35 103.37 103.43 103.44 103.45 103.46 103.48 103.5 103.51 103.55 103.56
## 1 1 2 3 1 1 1 1 1 1 1
## 103.58 103.6 103.61 103.62 103.65 103.66 103.68 103.69 103.72 103.73 103.76
## 1 1 2 1 1 1 1 1 1 1 2
## 103.78 103.79 103.81 103.86 103.89 103.92 103.94 104 104.02 104.03 104.04
## 3 1 1 1 1 1 2 1 2 2 1
## 104.05 104.07 104.08 104.09 104.12 104.16 104.21 104.23 104.24 104.26 104.3
## 1 1 1 1 3 1 2 1 1 1 1
## 104.33 104.34 104.36 104.37 104.38 104.4 104.42 104.45 104.47 104.48 104.51
## 1 1 2 1 1 1 1 1 1 2 2
## 104.55 104.62 104.64 104.66 104.7 104.72 104.75 104.77 104.79 104.86 104.9
## 3 1 1 1 2 1 1 1 1 2 1
## 104.92 104.95 105.05 105.08 105.18 105.19 105.22 105.26 105.28 105.29 105.34
## 1 1 1 1 1 1 3 1 2 2 1
## 105.36 105.47 105.48 105.49 105.51 105.52 105.55 105.59 105.61 105.63 105.72
## 1 1 1 1 1 2 1 1 1 3 1
## 105.73 105.74 105.75 105.76 105.77 105.88 105.9 105.91 105.92 105.93 105.95
## 2 1 1 2 2 1 2 1 1 1 1
## 105.99 106.01 106.02 106.03 106.08 106.1 106.11 106.13 106.18 106.22 106.23
## 1 1 1 2 1 1 1 1 1 2 1
## 106.24 106.27 106.33 106.35 106.4 106.41 106.43 106.47 106.51 106.52 106.53
## 1 1 1 2 1 3 1 1 2 1 1
## 106.54 106.56 106.58 106.59 106.65 106.68 106.69 106.7 106.73 106.74 106.76
## 2 2 1 1 1 2 1 1 1 2 1
## 106.8 106.83 106.84 106.85 106.95 106.97 106.98 107.02 107.06 107.11 107.17
## 1 1 1 1 1 1 1 1 1 1 1
## 107.18 107.21 107.22 107.25 107.26 107.27 107.29 107.33 107.4 107.41 107.42
## 3 1 1 1 1 1 2 1 2 1 2
## 107.43 107.45 107.46 107.47 107.49 107.5 107.52 107.55 107.58 107.59 107.61
## 1 1 1 3 1 1 2 1 1 2 1
## 107.69 107.72 107.74 107.78 107.82 107.83 107.84 107.91 107.97 107.98 107.99
## 1 1 2 1 1 2 1 2 1 1 1
## 108.03 108.06 108.08 108.1 108.12 108.14 108.18 108.2 108.23 108.32 108.33
## 2 1 2 1 1 1 1 1 2 1 1
## 108.34 108.35 108.38 108.43 108.47 108.51 108.53 108.56 108.61 108.62 108.63
## 1 1 1 1 1 2 1 2 1 2 2
## 108.64 108.65 108.68 108.71 108.72 108.75 108.79 108.8 108.82 108.87 108.89
## 2 1 1 1 1 1 1 2 1 1 1
## 108.96 109 109.02 109.03 109.09 109.1 109.12 109.16 109.19 109.22 109.23
## 1 1 1 2 1 1 1 1 1 1 1
## 109.27 109.3 109.32 109.33 109.39 109.4 109.46 109.47 109.51 109.52 109.56
## 1 1 1 1 1 1 1 1 4 1 3
## 109.59 109.65 109.68 109.69 109.73 109.78 109.81 109.82 109.85 109.88 109.97
## 1 1 1 1 1 1 1 1 1 1 1
## 110.07 110.1 110.14 110.15 110.16 110.17 110.18 110.2 110.23 110.25 110.28
## 1 1 1 1 1 1 2 1 1 1 1
## 110.32 110.33 110.36 110.38 110.41 110.42 110.47 110.52 110.53 110.55 110.6
## 1 2 1 3 2 2 1 1 1 1 1
## 110.63 110.66 110.68 110.69 110.7 110.72 110.73 110.76 110.78 110.84 110.85
## 1 1 2 1 1 1 1 1 1 1 1
## 110.87 110.89 110.91 110.92 110.96 110.97 110.99 111.02 111.04 111.08 111.1
## 1 1 1 1 1 1 1 2 2 2 2
## 111.13 111.15 111.19 111.21 111.22 111.24 111.27 111.32 111.33 111.36 111.37
## 1 2 1 1 1 1 2 1 2 1 1
## 111.38 111.41 111.43 111.47 111.48 111.61 111.64 111.65 111.68 111.71 111.73
## 2 1 1 1 3 1 2 2 1 1 1
## 111.76 111.77 111.78 111.79 111.81 111.84 111.85 111.92 111.93 111.94 111.96
## 1 1 1 1 3 1 1 1 1 2 1
## 111.98 111.99 112.02 112.06 112.07 112.08 112.09 112.11 112.12 112.16 112.17
## 1 1 2 1 1 2 2 1 1 2 1
## 112.19 112.2 112.22 112.23 112.24 112.25 112.29 112.3 112.31 112.33 112.34
## 3 1 1 1 1 1 1 1 1 1 1
## 112.35 112.37 112.38 112.39 112.41 112.43 112.44 112.46 112.47 112.54 112.55
## 1 1 1 1 1 1 1 1 1 2 1
## 112.62 112.64 112.66 112.69 112.7 112.72 112.75 112.77 112.79 112.83 112.92
## 1 1 1 1 1 1 1 1 1 1 1
## 112.94 112.95 112.96 112.98 113.01 113.05 113.08 113.1 113.11 113.2 113.21
## 1 1 2 2 2 1 1 1 1 1 2
## 113.24 113.25 113.26 113.28 113.34 113.4 113.41 113.45 113.47 113.57 113.63
## 1 1 1 1 1 2 1 1 1 1 2
## 113.64 113.65 113.68 113.74 113.8 113.84 113.85 113.86 113.87 113.95 113.96
## 1 1 2 1 1 1 2 1 1 1 1
## 114.01 114.02 114.05 114.09 114.16 114.18 114.21 114.25 114.32 114.33 114.34
## 1 1 1 2 2 1 1 1 4 1 2
## 114.37 114.41 114.45 114.46 114.47 114.5 114.53 114.54 114.61 114.71 114.76
## 1 1 1 1 1 1 1 2 1 2 1
## 114.77 114.79 114.82 114.84 114.88 114.89 114.92 114.94 114.99 115.03 115.07
## 1 1 1 1 2 1 1 1 1 1 1
## 115.12 115.13 115.16 115.21 115.22 115.23 115.29 115.4 115.42 115.43 115.46
## 1 1 1 1 1 1 1 1 1 1 1
## 115.47 115.52 115.54 115.68 115.69 115.71 115.79 115.83 115.86 115.91 115.92
## 2 2 1 1 1 1 1 1 1 1 1
## 115.93 115.98 115.99 116.02 116.04 116.06 116.1 116.12 116.14 116.2 116.21
## 1 2 1 1 2 1 1 1 1 2 1
## 116.23 116.25 116.38 116.44 116.49 116.5 116.55 116.6 116.62 116.64 116.66
## 1 1 1 2 1 1 1 1 1 1 1
## 116.67 116.68 116.69 116.76 116.78 116.84 116.85 116.93 116.95 116.98 117.03
## 1 1 1 1 1 1 1 1 1 2 2
## 117.04 117.31 117.34 117.45 117.59 117.63 117.69 117.75 117.77 117.92 117.98
## 1 1 1 1 1 2 1 1 1 1 1
## 118.03 118.14 118.21 118.22 118.41 118.44 118.46 118.51 118.55 118.61 118.62
## 1 1 1 1 1 1 1 1 3 1 1
## 118.66 118.69 118.7 118.75 118.81 118.82 118.85 118.87 118.88 118.89 118.93
## 2 1 1 1 2 2 1 1 1 1 1
## 119.01 119.03 119.04 119.13 119.3 119.32 119.34 119.4 119.52 119.58 119.61
## 1 1 1 1 1 1 1 1 1 2 1
## 119.62 119.67 119.77 119.88 119.9 119.96 120.03 120.05 120.06 120.07 120.09
## 1 1 1 1 2 1 1 1 1 1 1
## 120.15 120.22 120.23 120.25 120.27 120.31 120.43 120.44 120.46 120.56 120.58
## 1 1 1 1 1 1 1 1 2 1 2
## 120.77 120.85 120.94 120.96 121.04 121.11 121.14 121.15 121.17 121.19 121.27
## 2 1 1 1 1 1 1 1 1 1 1
## 121.32 121.39 121.43 121.44 121.46 121.6 121.66 121.71 121.8 121.83 121.99
## 1 1 1 1 1 1 2 1 1 1 1
## 122.01 122.04 122.1 122.19 122.22 122.23 122.25 122.26 122.31 122.32 122.38
## 1 1 1 1 1 1 2 1 1 1 1
## 122.39 122.41 122.43 122.46 122.48 122.5 122.73 122.74 122.75 122.83 122.91
## 1 1 1 1 1 1 1 1 1 1 1
## 123 123.04 123.08 123.1 123.15 123.21 123.23 123.36 123.39 123.47 123.49
## 1 2 1 2 1 1 1 1 1 1 2
## 123.61 123.65 123.66 123.79 123.81 123.83 123.87 123.89 123.94 123.95 123.98
## 1 1 2 1 1 1 2 1 1 1 1
## 124.01 124.06 124.08 124.13 124.16 124.26 124.31 124.34 124.35 124.37 124.38
## 1 1 1 1 2 1 1 1 1 2 2
## 124.39 124.45 124.48 124.49 124.5 124.54 124.6 124.61 124.64 124.66 124.78
## 1 1 1 1 2 1 1 1 1 1 1
## 124.92 125.03 125.09 125.11 125.14 125.2 125.26 125.29 125.3 125.32 125.33
## 1 1 1 1 1 1 1 1 1 1 1
## 125.38 125.43 125.63 125.68 125.74 125.87 125.89 125.98 126.04 126.09 126.12
## 1 1 1 1 1 1 2 1 1 1 1
## 126.18 126.32 126.34 126.35 126.39 126.57 126.67 126.68 126.82 126.85 126.96
## 1 1 2 2 1 1 1 1 1 1 1
## 126.99 127.13 127.18 127.2 127.21 127.23 127.25 127.28 127.29 127.32 127.4
## 1 1 1 1 1 1 1 1 2 1 1
## 127.42 127.57 127.71 127.75 127.78 128.04 128.17 128.23 128.28 128.61 128.63
## 1 1 1 1 1 1 1 1 1 1 2
## 128.72 128.97 129.01 129.07 129.16 129.19 129.31 129.43 129.53 129.54 129.66
## 2 1 2 1 3 1 2 2 1 1 1
## 129.73 129.97 129.98 130 130.07 130.15 130.34 130.37 130.54 130.56 130.61
## 1 1 1 1 2 1 1 1 1 1 1
## 131.05 131.19 131.23 131.28 131.3 131.4 131.41 131.42 131.43 131.51 131.63
## 1 1 1 1 1 1 1 1 2 1 1
## 131.77 131.8 131.81 131.85 131.89 131.99 132.08 132.41 132.46 132.85 132.88
## 1 1 1 1 1 1 1 1 1 1 1
## 133.13 133.19 133.2 133.24 133.58 133.62 133.63 133.76 133.82 134.12 134.23
## 1 1 1 2 1 1 1 1 1 1 1
## 134.24 134.29 134.33 134.39 134.45 134.59 134.61 134.65 134.76 134.8 135.19
## 1 1 1 1 1 1 1 1 1 2 2
## 135.32 135.63 135.64 135.74 135.75 135.79 135.82 135.84 135.89 136.1 136.18
## 1 1 1 1 1 1 1 1 1 1 1
## 136.2 136.23 136.8 136.81 136.96 137.22 137.27 137.3 137.45 137.74 137.77
## 1 1 1 1 1 1 1 1 1 1 1
## 137.91 137.94 137.96 138.02 138.06 138.07 138.16 138.29 138.44 138.47 138.51
## 1 1 1 1 1 1 1 1 1 1 1
## 138.55 139.2 139.43 139.48 139.67 139.72 139.77 139.81 139.87 139.9 140.07
## 1 1 1 1 1 1 1 1 1 1 1
## 140.08 140.1 140.14 140.28 140.39 140.4 140.52 140.93 140.96 141.09 141.15
## 1 2 1 1 1 1 1 1 1 1 1
## 141.16 141.23 141.24 141.37 141.8 141.84 142.02 142.12 142.31 142.38 142.57
## 1 1 1 1 1 1 1 2 2 1 1
## 142.63 142.64 142.68 142.82 143.15 143.33 143.43 143.45 143.47 143.97 144.08
## 1 1 1 1 1 1 1 2 1 1 1
## 144.1 144.14 144.15 144.16 144.2 144.23 144.33 144.48 144.9 145.03 145.15
## 2 1 1 1 1 1 1 1 1 1 1
## 145.18 145.22 145.23 145.25 145.26 145.37 145.46 145.5 145.71 145.94 146.01
## 1 1 1 1 1 1 1 1 1 1 1
## 146.08 146.1 146.21 146.44 146.59 146.61 146.97 147.04 147.12 147.14 147.42
## 1 1 1 1 1 1 1 1 1 1 1
## 147.48 147.5 147.74 148.24 148.37 148.52 148.72 148.91 149.13 149.15 149.17
## 1 1 1 1 1 1 1 1 1 1 1
## 149.42 149.62 149.68 149.75 149.8 149.9 149.95 150 150.03 150.1 150.27
## 1 1 1 1 1 1 1 1 1 1 1
## 150.45 150.74 151.16 151.23 151.25 151.26 151.3 151.33 151.56 152.02 152.38
## 1 1 1 1 2 1 1 1 1 1 1
## 152.56 152.81 152.84 152.87 153.08 153.24 153.31 153.34 153.38 153.48 153.6
## 1 1 1 1 1 1 1 1 1 1 1
## 153.76 154.03 154.08 154.6 154.67 154.75 155.14 155.17 155.23 155.32 155.43
## 1 1 1 1 1 1 1 1 1 1 1
## 155.86 156.18 156.43 156.45 156.57 156.69 156.7 156.82 157.01 157.57 157.67
## 1 1 1 1 1 1 1 1 2 1 1
## 157.77 158.31 158.33 158.48 158.89 158.9 158.93 159.39 159.67 159.7 159.79
## 1 1 1 1 1 1 1 2 1 1 1
## 160 160.64 160.76 160.83 160.87 160.94 161 161.28 161.57 161.95 162.14
## 1 1 1 1 1 1 1 1 1 1 1
## 162.23 162.24 162.3 162.72 162.93 162.96 163.02 163.17 163.56 163.7 163.82
## 1 1 1 1 1 1 1 1 1 1 1
## 164.67 164.7 164.77 165.11 165.31 165.36 165.47 165.99 166.29 166.38 167.13
## 1 1 1 1 1 1 1 1 1 1 1
## 167.16 167.31 167.41 167.59 167.66 168.06 168.15 168.68 169.43 169.49 169.67
## 1 1 1 1 1 1 2 1 1 1 1
## 169.74 169.97 170.05 170.22 170.76 170.88 170.93 170.95 171.23 172.27 172.33
## 1 1 1 1 1 1 1 1 1 1 1
## 172.86 173.14 173.43 173.9 173.96 173.97 174.12 174.37 174.43 174.54 175.29
## 1 1 1 1 1 1 1 1 1 1 1
## 175.74 175.92 176.25 176.34 176.38 176.42 176.48 176.71 176.78 177.56 177.91
## 1 1 1 1 1 1 1 1 1 1 1
## 178.29 178.33 178.76 178.89 179.12 179.14 179.38 179.67 180.45 180.63 180.76
## 1 1 1 1 1 1 1 1 1 1 1
## 180.8 180.93 181.23 181.3 182.2 182.22 182.52 182.86 182.9 182.99 183
## 1 1 2 1 1 1 1 1 1 1 1
## 183.1 183.34 183.43 183.45 183.87 184.15 184.25 184.4 185 185.17 185.27
## 1 1 1 1 1 1 1 1 1 1 1
## 185.28 185.31 185.49 185.71 186.17 186.21 186.32 186.4 186.45 186.54 186.95
## 1 1 1 1 1 1 1 1 1 1 1
## 187.22 187.47 187.52 187.87 187.88 187.99 188.11 188.13 188.69 189.44 189.45
## 1 1 1 1 1 1 1 1 1 1 1
## 189.49 189.57 189.82 189.84 189.88 190.13 190.14 190.32 190.4 190.67 190.7
## 1 1 1 1 1 1 1 1 1 1 1
## 190.89 190.92 191.15 191.33 191.47 191.48 191.61 191.66 191.78 191.79 191.82
## 1 1 1 1 1 1 1 1 1 1 1
## 191.94 192.16 192.37 192.39 192.47 192.5 193.22 193.45 193.61 193.8 193.81
## 1 1 1 1 1 1 1 1 1 1 1
## 193.83 193.87 193.88 193.94 194.04 194.37 194.53 194.62 194.75 194.98 194.99
## 1 1 1 1 1 1 2 1 1 1 1
## 195.03 195.04 195.16 195.23 195.25 195.43 195.61 195.71 195.74 196.01 196.08
## 1 1 1 1 1 1 1 1 1 1 1
## 196.2 196.25 196.26 196.33 196.36 196.5 196.58 196.61 196.71 196.81 196.91
## 1 1 1 1 1 1 1 1 1 1 1
## 196.92 197.06 197.09 197.1 197.11 197.28 197.36 197.54 197.58 197.69 197.79
## 1 1 1 1 1 1 1 1 1 1 1
## 198.02 198.12 198.21 198.24 198.3 198.32 198.33 198.36 198.69 198.79 198.84
## 1 1 1 1 1 1 1 1 1 2 1
## 199.14 199.18 199.2 199.38 199.42 199.78 199.83 199.84 199.86 199.88 199.96
## 1 1 1 1 1 1 1 1 1 1 1
## 200.14 200.16 200.25 200.28 200.46 200.49 200.59 200.62 200.66 200.68 200.73
## 1 1 1 2 1 1 1 1 1 1 1
## 200.8 200.91 200.98 201.01 201.07 201.25 201.38 201.45 201.58 201.76 201.96
## 1 1 1 1 1 1 1 1 1 1 1
## 202.05 202.06 202.21 202.38 202.51 202.55 202.57 202.66 202.67 202.98 203.01
## 1 1 2 1 1 1 1 2 1 1 1
## 203.04 203.16 203.27 203.36 203.44 203.57 203.76 203.81 203.87 204.05 204.17
## 2 1 1 1 1 1 1 2 2 1 1
## 204.5 204.57 204.63 204.77 204.86 204.92 204.98 205 205.01 205.23 205.26
## 1 1 1 1 1 1 1 1 1 2 1
## 205.33 205.35 205.5 205.77 205.78 205.84 205.97 206.09 206.15 206.25 206.33
## 1 1 1 2 1 1 1 1 1 2 1
## 206.4 206.49 206.52 206.53 206.59 206.62 206.66 206.72 206.98 207.28 207.32
## 1 1 1 2 1 1 1 1 1 1 1
## 207.37 207.45 207.58 207.6 207.62 207.64 207.71 207.79 207.84 207.95 207.96
## 1 1 1 1 1 1 1 1 1 1 1
## 208.05 208.06 208.17 208.2 208.3 208.31 208.39 208.65 208.69 208.78 208.85
## 2 1 1 1 1 1 1 1 1 1 1
## 208.99 209.06 209.15 209.26 209.5 209.58 209.86 209.9 210 210.23 210.4
## 1 1 1 1 2 1 1 1 2 1 1
## 210.48 210.78 210.94 210.95 210.96 211.03 211.06 211.12 211.35 211.49 211.58
## 1 1 1 1 1 1 1 1 1 1 1
## 211.78 211.83 211.88 212.01 212.02 212.08 212.19 212.62 212.87 212.92 212.97
## 1 1 1 1 1 1 1 1 1 1 1
## 213.03 213.11 213.22 213.33 213.37 213.38 213.43 213.54 213.8 213.87 213.92
## 1 1 1 1 1 1 1 1 1 1 1
## 214.05 214.09 214.42 214.43 214.45 214.51 214.73 214.77 215.07 215.33 215.6
## 1 1 1 1 1 1 1 2 1 1 1
## 215.64 215.69 215.72 215.81 215.9 215.92 215.94 216 216.07 216.19 216.38
## 1 1 1 1 1 1 1 1 1 1 1
## 216.4 216.58 216.64 216.7 216.71 216.88 216.9 216.92 216.94 216.96 217
## 1 1 1 1 1 2 1 1 1 1 1
## 217.08 217.11 217.3 217.39 217.4 217.55 217.57 217.66 217.71 217.74 217.75
## 1 1 1 1 1 1 1 1 1 1 1
## 217.79 217.84 217.94 218 218.1 218.46 218.54 218.6 218.65 219.17 219.38
## 1 1 1 1 1 2 1 1 1 1 1
## 219.39 219.5 219.53 219.67 219.7 219.72 219.73 219.8 219.81 219.82 219.84
## 1 1 1 1 1 1 1 1 1 1 1
## 219.91 219.92 219.96 219.97 220.24 220.26 220.36 220.47 220.49 220.52 220.64
## 1 1 1 1 1 1 1 2 1 1 1
## 221.06 221.08 221.24 221.29 221.43 221.58 221.79 221.8 221.83 221.89 222.21
## 1 1 1 1 1 1 1 1 1 1 1
## 222.29 222.46 222.52 222.58 222.6 222.66 222.85 223.14 223.16 223.26 223.35
## 2 1 1 1 1 1 1 1 1 1 1
## 223.36 223.58 223.64 223.68 223.78 223.83 223.9 224.1 224.63 224.71 225.35
## 1 1 1 1 1 1 1 1 1 1 1
## 225.47 225.6 226.11 226.28 226.38 226.7 226.73 226.75 226.84 226.88 226.93
## 1 1 1 1 1 1 1 1 1 1 1
## 226.98 227.04 227.1 227.16 227.23 227.28 227.51 227.68 227.74 227.81 227.89
## 1 1 1 1 1 1 1 1 1 1 1
## 227.91 227.94 227.96 227.98 228.05 228.08 228.2 228.26 228.42 228.5 228.56
## 1 1 1 1 1 1 1 1 1 1 1
## 228.69 228.7 228.92 229.2 229.21 229.58 229.73 229.86 229.92 229.94 230.59
## 1 2 1 1 1 1 1 1 1 1 1
## 230.68 230.74 230.78 231.15 231.19 231.31 231.43 231.5 231.54 231.56 231.61
## 1 1 1 1 1 1 1 1 1 1 1
## 231.69 231.71 231.72 231.76 231.95 232.12 232.29 232.64 232.78 232.81 232.89
## 1 1 1 1 1 1 1 1 1 1 1
## 233.29 233.3 233.47 233.52 233.59 233.71 233.94 234.06 234.27 234.35 234.45
## 1 1 1 1 1 1 1 1 1 1 1
## 234.5 234.51 234.58 234.82 235.06 235.45 235.54 235.63 235.85 236.04 236.14
## 1 1 1 1 1 1 1 1 1 1 1
## 236.79 236.84 237.15 237.17 237.21 237.58 237.74 237.75 238.27 238.53 238.78
## 1 1 1 1 1 1 1 1 1 1 1
## 239.07 239.19 239.21 239.28 239.52 239.64 239.82 239.95 240.09 240.59 240.69
## 1 1 1 1 1 1 1 1 1 1 1
## 240.71 240.81 240.86 242.3 242.52 242.62 242.84 242.94 243.5 243.52 243.53
## 1 1 1 1 1 1 1 1 1 1 1
## 243.58 243.59 243.73 244.28 244.3 246.34 246.53 247.48 247.51 247.69 247.87
## 1 1 1 1 1 1 1 1 1 1 1
## 247.97 248.24 248.37 249.29 249.31 250.2 250.8 250.89 251.46 251.6 251.99
## 1 1 1 1 1 1 1 1 1 1 1
## 252.72 253.16 253.86 253.93 254.6 254.63 254.95 255.17 256.74 259.63 260.85
## 1 1 1 1 1 1 1 1 1 1 1
## 261.67 263.32 263.56 266.59 267.6 267.61 267.76 271.74
## 1 1 1 1 1 1 1 1sum(is.na(healthcare_dataset_stroke_data$avg_glucose_level))## [1] 0max(healthcare_dataset_stroke_data$avg_glucose_level)## [1] 271.74min(healthcare_dataset_stroke_data$avg_glucose_level)## [1] 55.12# looks clean, check and make sure all values are a reasonable range
class(healthcare_dataset_stroke_data$bmi)## [1] "character"unique(healthcare_dataset_stroke_data$bmi)## [1] "36.6" "N/A" "32.5" "34.4" "24" "29" "27.4" "22.8" "24.2" "29.7"
## [11] "36.8" "27.3" "28.2" "30.9" "37.5" "25.8" "37.8" "22.4" "48.9" "26.6"
## [21] "27.2" "23.5" "28.3" "44.2" "25.4" "22.2" "30.5" "26.5" "33.7" "23.1"
## [31] "32" "29.9" "23.9" "28.5" "26.4" "20.2" "33.6" "38.6" "39.2" "27.7"
## [41] "31.4" "36.5" "33.2" "32.8" "40.4" "25.3" "30.2" "47.5" "20.3" "30"
## [51] "28.9" "28.1" "31.1" "21.7" "27" "24.1" "45.9" "44.1" "22.9" "29.1"
## [61] "32.3" "41.1" "25.6" "29.8" "26.3" "26.2" "29.4" "24.4" "28" "28.8"
## [71] "34.6" "19.4" "30.3" "41.5" "22.6" "56.6" "27.1" "31.3" "31" "31.7"
## [81] "35.8" "28.4" "20.1" "26.7" "38.7" "34.9" "25" "23.8" "21.8" "27.5"
## [91] "24.6" "32.9" "26.1" "31.9" "34.1" "36.9" "37.3" "45.7" "34.2" "23.6"
## [101] "22.3" "37.1" "45" "25.5" "30.8" "37.4" "34.5" "27.9" "29.5" "46"
## [111] "42.5" "35.5" "26.9" "45.5" "31.5" "33" "23.4" "30.7" "20.5" "21.5"
## [121] "40" "28.6" "42.2" "29.6" "35.4" "16.9" "26.8" "39.3" "32.6" "35.9"
## [131] "21.2" "42.4" "40.5" "36.7" "29.3" "19.6" "18" "17.6" "19.1" "50.1"
## [141] "17.7" "54.6" "35" "22" "39.4" "19.7" "22.5" "25.2" "41.8" "60.9"
## [151] "23.7" "24.5" "31.2" "16" "31.6" "25.1" "24.8" "18.3" "20" "19.5"
## [161] "36" "35.3" "40.1" "43.1" "21.4" "34.3" "27.6" "16.5" "24.3" "25.7"
## [171] "21.9" "38.4" "25.9" "54.7" "18.6" "24.9" "48.2" "20.7" "39.5" "23.3"
## [181] "64.8" "35.1" "43.6" "21" "47.3" "16.6" "21.6" "15.5" "35.6" "16.7"
## [191] "41.9" "16.4" "17.1" "29.2" "37.9" "44.6" "39.6" "40.3" "41.6" "39"
## [201] "23.2" "18.9" "36.1" "36.3" "46.5" "16.8" "46.6" "35.2" "20.9" "13.8"
## [211] "31.8" "15.3" "38.2" "45.2" "17" "49.8" "27.8" "60.2" "23" "22.1"
## [221] "26" "44.3" "51" "39.7" "34.7" "21.3" "41.2" "34.8" "19.2" "35.7"
## [231] "40.8" "24.7" "19" "32.4" "34" "28.7" "32.1" "51.5" "20.4" "30.6"
## [241] "71.9" "19.3" "40.9" "17.2" "16.1" "16.2" "40.6" "18.4" "21.1" "42.3"
## [251] "32.2" "50.2" "17.5" "18.7" "42.1" "47.8" "20.8" "30.1" "17.3" "36.4"
## [261] "12" "36.2" "55.7" "14.4" "43" "41.7" "33.8" "43.9" "22.7" "57.5"
## [271] "37" "38.5" "16.3" "44" "32.7" "54.2" "40.2" "33.3" "17.4" "41.3"
## [281] "52.3" "14.6" "17.8" "46.1" "33.1" "18.1" "43.8" "50.3" "38.9" "43.7"
## [291] "39.9" "15.9" "19.8" "12.3" "78" "38.3" "41" "42.6" "43.4" "15.1"
## [301] "20.6" "33.5" "43.2" "30.4" "38" "33.4" "44.9" "44.7" "37.6" "39.8"
## [311] "53.4" "55.2" "42" "37.2" "42.8" "18.8" "42.9" "14.3" "37.7" "48.4"
## [321] "50.6" "46.2" "49.5" "43.3" "33.9" "18.5" "44.5" "45.4" "55" "54.8"
## [331] "19.9" "17.9" "15.6" "52.8" "15.2" "66.8" "55.1" "18.2" "48.5" "55.9"
## [341] "57.3" "10.3" "14.1" "15.7" "56" "44.8" "13.4" "51.8" "38.1" "57.7"
## [351] "44.4" "38.8" "49.3" "39.1" "54" "56.1" "97.6" "53.9" "13.7" "11.5"
## [361] "41.4" "14.2" "49.4" "15.4" "45.1" "49.2" "48.7" "53.8" "42.7" "48.8"
## [371] "52.7" "53.5" "50.5" "15.8" "45.3" "14.8" "51.9" "63.3" "40.7" "61.2"
## [381] "48" "46.8" "48.3" "58.1" "50.4" "11.3" "12.8" "13.5" "14.5" "15"
## [391] "59.7" "47.4" "52.5" "13.2" "52.9" "61.6" "49.9" "54.3" "47.9" "13"
## [401] "13.9" "50.9" "57.2" "64.4" "92" "50.8" "57.9" "45.8" "47.6" "14"
## [411] "46.4" "46.9" "47.1" "13.3" "48.1" "51.7" "46.3" "54.1" "14.9"table(healthcare_dataset_stroke_data$bmi)##
## 10.3 11.3 11.5 12 12.3 12.8 13 13.2 13.3 13.4 13.5 13.7 13.8 13.9 14 14.1
## 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 5
## 14.2 14.3 14.4 14.5 14.6 14.8 14.9 15 15.1 15.2 15.3 15.4 15.5 15.6 15.7 15.8
## 4 3 2 2 4 4 1 2 8 4 4 3 5 3 3 5
## 15.9 16 16.1 16.2 16.3 16.4 16.5 16.6 16.7 16.8 16.9 17 17.1 17.2 17.3 17.4
## 5 8 8 10 10 11 4 8 11 7 7 10 12 11 9 13
## 17.5 17.6 17.7 17.8 17.9 18 18.1 18.2 18.3 18.4 18.5 18.6 18.7 18.8 18.9 19
## 7 16 13 7 7 16 12 9 17 10 12 19 13 15 8 7
## 19.1 19.2 19.3 19.4 19.5 19.6 19.7 19.8 19.9 20 20.1 20.2 20.3 20.4 20.5 20.6
## 11 13 9 14 21 7 8 17 9 17 25 16 17 23 18 15
## 20.7 20.8 20.9 21 21.1 21.2 21.3 21.4 21.5 21.6 21.7 21.8 21.9 22 22.1 22.2
## 12 17 13 17 16 16 21 22 27 16 14 18 14 15 22 30
## 22.3 22.4 22.5 22.6 22.7 22.8 22.9 23 23.1 23.2 23.3 23.4 23.5 23.6 23.7 23.8
## 18 22 13 18 25 25 16 27 21 20 19 36 31 24 16 22
## 23.9 24 24.1 24.2 24.3 24.4 24.5 24.6 24.7 24.8 24.9 25 25.1 25.2 25.3 25.4
## 24 28 28 29 26 23 26 22 22 31 27 27 34 18 28 26
## 25.5 25.6 25.7 25.8 25.9 26 26.1 26.2 26.3 26.4 26.5 26.6 26.7 26.8 26.9 27
## 33 21 15 24 24 25 37 27 23 34 30 29 37 21 34 35
## 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 28.4 28.5 28.6
## 28 24 36 22 29 37 37 23 28 28 29 25 30 38 27 27
## 28.7 28.8 28.9 29 29.1 29.2 29.3 29.4 29.5 29.6 29.7 29.8 29.9 30 30.1 30.2
## 41 26 31 26 29 26 22 30 26 26 27 23 26 27 26 20
## 30.3 30.4 30.5 30.6 30.7 30.8 30.9 31 31.1 31.2 31.3 31.4 31.5 31.6 31.7 31.8
## 30 17 24 18 23 21 27 22 26 19 21 30 27 21 14 24
## 31.9 32 32.1 32.2 32.3 32.4 32.5 32.6 32.7 32.8 32.9 33 33.1 33.2 33.3 33.4
## 22 21 24 20 28 19 21 19 21 25 13 15 25 17 15 16
## 33.5 33.6 33.7 33.8 33.9 34 34.1 34.2 34.3 34.4 34.5 34.6 34.7 34.8 34.9 35
## 23 11 19 13 13 17 15 17 18 18 21 11 20 15 11 12
## 35.1 35.2 35.3 35.4 35.5 35.6 35.7 35.8 35.9 36 36.1 36.2 36.3 36.4 36.5 36.6
## 10 16 12 9 13 15 13 24 18 11 7 12 13 10 4 14
## 36.7 36.8 36.9 37 37.1 37.2 37.3 37.4 37.5 37.6 37.7 37.8 37.9 38 38.1 38.2
## 15 8 13 10 7 9 13 11 9 9 7 10 11 13 10 9
## 38.3 38.4 38.5 38.6 38.7 38.8 38.9 39 39.1 39.2 39.3 39.4 39.5 39.6 39.7 39.8
## 2 6 7 9 11 10 8 7 8 10 6 10 8 9 8 5
## 39.9 40 40.1 40.2 40.3 40.4 40.5 40.6 40.7 40.8 40.9 41 41.1 41.2 41.3 41.4
## 5 6 10 10 8 9 7 1 1 7 6 3 7 8 6 3
## 41.5 41.6 41.7 41.8 41.9 42 42.1 42.2 42.3 42.4 42.5 42.6 42.7 42.8 42.9 43
## 8 5 7 11 5 3 3 8 5 5 2 4 4 3 3 8
## 43.1 43.2 43.3 43.4 43.6 43.7 43.8 43.9 44 44.1 44.2 44.3 44.4 44.5 44.6 44.7
## 4 4 5 6 4 7 9 8 4 1 4 3 1 4 2 6
## 44.8 44.9 45 45.1 45.2 45.3 45.4 45.5 45.7 45.8 45.9 46 46.1 46.2 46.3 46.4
## 4 2 5 2 3 4 4 4 2 1 2 4 2 2 1 1
## 46.5 46.6 46.8 46.9 47.1 47.3 47.4 47.5 47.6 47.8 47.9 48 48.1 48.2 48.3 48.4
## 2 1 1 2 1 2 1 3 3 2 1 1 1 1 2 1
## 48.5 48.7 48.8 48.9 49.2 49.3 49.4 49.5 49.8 49.9 50.1 50.2 50.3 50.4 50.5 50.6
## 2 1 2 3 1 3 1 2 3 1 2 4 2 1 1 2
## 50.8 50.9 51 51.5 51.7 51.8 51.9 52.3 52.5 52.7 52.8 52.9 53.4 53.5 53.8 53.9
## 1 1 1 1 1 1 2 1 1 2 3 1 2 1 2 1
## 54 54.1 54.2 54.3 54.6 54.7 54.8 55 55.1 55.2 55.7 55.9 56 56.1 56.6 57.2
## 1 1 1 1 2 3 1 2 1 1 4 2 1 1 2 2
## 57.3 57.5 57.7 57.9 58.1 59.7 60.2 60.9 61.2 61.6 63.3 64.4 64.8 66.8 71.9 78
## 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1
## 92 97.6 N/A
## 1 1 201sum(is.na(healthcare_dataset_stroke_data$bmi))## [1] 0# bmi currently loaded as text, needs to be a float
# 201 N/A will need to be removed for processing, also check the range there are two entries above 90 that seem unlikely
class(healthcare_dataset_stroke_data$smoking_status)## [1] "character"unique(healthcare_dataset_stroke_data$smoking_status)## [1] "formerly smoked" "never smoked" "smokes" "Unknown"table(healthcare_dataset_stroke_data$smoking_status)##
## formerly smoked never smoked smokes Unknown
## 885 1892 789 1544sum(is.na(healthcare_dataset_stroke_data$smoking_status))## [1] 0# looks clean, capitalize first letter
class(healthcare_dataset_stroke_data$stroke)## [1] "integer"unique(healthcare_dataset_stroke_data$stroke)## [1] 1 0table(healthcare_dataset_stroke_data$stroke)##
## 0 1
## 4861 249sum(is.na(healthcare_dataset_stroke_data$stroke))## [1] 0# looks clean
colnames(healthcare_dataset_stroke_data)## [1] "id" "gender" "age"
## [4] "hypertension" "heart_disease" "ever_married"
## [7] "work_type" "Residence_type" "avg_glucose_level"
## [10] "bmi" "smoking_status" "stroke"#FINISH CLEANING
#create a working copy of the data
stroke_data_df <- healthcare_dataset_stroke_data
#ID field is good
#gender drop "other"
stroke_data_df <- stroke_data_df %>%
filter(gender != "Other")
unique(stroke_data_df$gender)## [1] "Male" "Female"#remove all ages less than 18
#this also effectively removes all work_type equal to children
stroke_data_df <- stroke_data_df %>%
filter(age >= 18)
unique(stroke_data_df$age)## [1] 67 61 80 49 79 81 74 69 59 78 54 50 64 75 60 57 71 52 82 65 58 42 48 72 63
## [26] 76 39 77 73 56 45 70 66 51 43 68 47 53 38 55 46 32 37 40 35 20 44 25 27 23
## [51] 22 30 29 21 18 33 24 34 36 41 26 31 62 28 19#hypertension field is clean
#convert ever married to boolean 1-yes 0-no
stroke_data_df <- stroke_data_df %>%
mutate(ever_married = ifelse(ever_married == "Yes", 1, 0))
unique(stroke_data_df$ever_married)## [1] 1 0#properly case values in work_type
stroke_data_df$work_type <- str_to_title(stroke_data_df$work_type)
unique(stroke_data_df$work_type)## [1] "Private" "Self-Employed" "Govt_job" "Never_worked"#Residence_type looks clean
#avg_glucose_level looks clean
# Convert 'bmi' to numeric
stroke_data_df$bmi <- as.numeric(stroke_data_df$bmi)## Warning: NAs introduced by coercionclass(stroke_data_df$bmi)## [1] "numeric"# update values to capitalize first letter, removing unknowns and removing the original field
stroke_data_df$smoking_status <- str_to_title(stroke_data_df$smoking_status)
sum(stroke_data_df$smoking_status == "Unknown", na.rm = TRUE)## [1] 862stroke_data_df <- stroke_data_df %>%
mutate(smoking_status_clean = ifelse(smoking_status == "Unknown", NA, smoking_status)) %>%
filter(!is.na(smoking_status_clean))
stroke_data_df <- stroke_data_df %>%
select(-smoking_status)
unique(stroke_data_df$smoking_status_clean)## [1] "Formerly Smoked" "Never Smoked" "Smokes"#stroke looks clean
#drop the ID colum, not needed for prediction
stroke_data_df <- stroke_data_df %>% select(-id)
#END OF CLEANING 3391 valid rowsTask Two: Build prediction models
# Drop rows with NA in any column
stroke_data_df <- na.omit(stroke_data_df)
#target and feature matrix
# Target
y <- stroke_data_df$stroke
# One-hot encode categorical variables
X <- model.matrix(stroke ~ . -1, data = stroke_data_df)
# Check row count
stopifnot(nrow(X) == length(y)) # must be TRUE
#split data
set.seed(123)
train_index <- sample(seq_len(nrow(X)), size = 0.75 * nrow(X))
X_train <- X[train_index, ]
X_test <- X[-train_index, ]
y_train <- y[train_index]
y_test <- y[-train_index]
#xgb.DMatrix
dtrain <- xgb.DMatrix(data = X_train, label = y_train)
dtest <- xgb.DMatrix(data = X_test, label = y_test)
nrow(stroke_data_df) # original data rows## [1] 3255nrow(X) # after model.matrix## [1] 3255length(y) # label## [1] 3255#g2g
#parameters
params <- list(
objective = "binary:logistic",
eval_metric = "auc",
max_depth = 6,
eta = 0.05, # smaller learning rate
subsample = 0.8,
colsample_bytree = 0.8,
scale_pos_weight = sum(y_train == 0) / sum(y_train == 1) # balance stroke vs non-stroke
)
#train
xgb_model <- xgb.train(
params = params,
data = dtrain,
nrounds = 200, # more boosting rounds
watchlist = list(train = dtrain, test = dtest),
early_stopping_rounds = 20, # stop if no improvement
print_every_n = 10
)## [1] train-auc:0.870523 test-auc:0.737572
## Multiple eval metrics are present. Will use test_auc for early stopping.
## Will train until test_auc hasn't improved in 20 rounds.
##
## [11] train-auc:0.955509 test-auc:0.802073
## [21] train-auc:0.967466 test-auc:0.809821
## [31] train-auc:0.975126 test-auc:0.805469
## [41] train-auc:0.980594 test-auc:0.806684
## Stopping. Best iteration:
## [22] train-auc:0.968004 test-auc:0.811829#predict
pred_probs <- predict(xgb_model, dtest) # probabilities
#automatically select threshold depending on accuracy
thresholds <- seq(0.3, 0.5, by = 0.01)
best_bal <- 0
best_threshold <- .44
for (t in thresholds)
{
pred_class <- ifelse(pred_probs > t, 1, 0)
cm <- confusionMatrix(factor(pred_class), factor(y_test))
balance_acc <- cm$byClass["Balanced Accuracy"]
if(!is.na(balance_acc) && balance_acc > best_bal)
{
best_bal <- balance_acc
best_threshold <- t
}
}
# first try - pred_class <- ifelse(pred_probs > 0.44, 1, 0) # convert to 0/1
cat("Optimal threshold based on balanced accuracy:", best_threshold, "\n")## Optimal threshold based on balanced accuracy: 0.44pred_class <- ifelse(pred_probs > best_threshold, 1, 0)Task Three: Evaluate and select prediction models
# Compute feature importance
importance_matrix <- xgb.importance(model = xgb_model)
print(importance_matrix)## Feature Gain Cover Frequency
## <char> <num> <num> <num>
## 1: age 0.449160798 0.337686267 0.208369660
## 2: avg_glucose_level 0.206241576 0.254194881 0.282476024
## 3: bmi 0.188595146 0.216203028 0.279860506
## 4: smoking_status_cleanNever Smoked 0.029416197 0.034363451 0.034873583
## 5: hypertension 0.024100044 0.046698193 0.026155187
## 6: genderFemale 0.020069858 0.016282461 0.033129904
## 7: heart_disease 0.019925267 0.024842796 0.018308631
## 8: ever_married 0.016513478 0.019742355 0.029642546
## 9: work_typeSelf-Employed 0.014753555 0.021084970 0.028770706
## 10: smoking_status_cleanSmokes 0.011903607 0.007786707 0.020924150
## 11: Residence_typeUrban 0.011630940 0.007873009 0.018308631
## 12: work_typePrivate 0.005348934 0.010931584 0.015693112
## 13: genderMale 0.002340599 0.002310298 0.003487358# Plot top 10 features
xgb.plot.importance(importance_matrix, top_n = 10,
measure = "Gain",
rel_to_first = TRUE,
main = "Top 10 Feature Importance (Gain)")
# first try - confusionMatrix(factor(pred_class), factor(y_test))
# Confusion matrix
final_cm <- confusionMatrix(factor(pred_class), factor(y_test))
print(final_cm)## Confusion Matrix and Statistics
##
## Reference
## Prediction 0 1
## 0 579 13
## 1 182 40
##
## Accuracy : 0.7604
## 95% CI : (0.7296, 0.7894)
## No Information Rate : 0.9349
## P-Value [Acc > NIR] : 1
##
## Kappa : 0.2076
##
## Mcnemar's Test P-Value : <2e-16
##
## Sensitivity : 0.7608
## Specificity : 0.7547
## Pos Pred Value : 0.9780
## Neg Pred Value : 0.1802
## Prevalence : 0.9349
## Detection Rate : 0.7113
## Detection Prevalence : 0.7273
## Balanced Accuracy : 0.7578
##
## 'Positive' Class : 0
## # ROC and AUC
roc_obj <- roc(y_test, pred_probs)## Setting levels: control = 0, case = 1## Setting direction: controls < casesauc_value <- auc(roc_obj)
cat("AUC:", auc_value, "\n")## AUC: 0.811829# ROC curve plot
#how well your XGBoost model separates stroke (positive class) from non-stroke (negative class) across all thresholds
plot(roc_obj,
main = paste0("ROC Curve (AUC = ", round(auc_value, 3), ")"),
col = "blue", lwd = 2)
abline(a = 0, b = 1, lty = 2, col = "red")
Task Four: Deploy the prediction model
# Save XGBoost model
xgb.save(xgb_model, "stroke_xgb_model.model")## [1] TRUE# Prediction function for new data
predict_stroke <- function(new_data) {
new_data$bmi <- as.numeric(new_data$bmi)
new_data$ever_married <- ifelse(new_data$ever_married == "Yes", 1, 0)
new_data$work_type <- str_to_title(new_data$work_type)
new_data$smoking_status_clean <- str_to_title(new_data$smoking_status)
new_data <- new_data %>%
mutate(smoking_status_clean = ifelse(smoking_status_clean == "Unknown", NA, smoking_status_clean)) %>%
filter(!is.na(smoking_status_clean)) %>%
select(-id, -smoking_status)
X_new <- model.matrix(~ . -1, data = new_data)
dnew <- xgb.DMatrix(data = X_new)
probs <- predict(xgb_model, dnew)
pred_class <- ifelse(probs > best_threshold, 1, 0)
return(data.frame(probs = probs, prediction = pred_class))
}
# Example usage:
# predict_stroke(new_patients_df)# Task Five: Findings and Conclusions
The model leverages numeric and categorical features to predict stroke.
Automated threshold selection improved balanced accuracy and stroke detection.
Feature importance identifies which patient characteristics most influence stroke risk.
AUC demonstrates the model’s discriminative ability.
Deployment-ready function allows consistent scoring of new patient data.
The pipeline is fully reproducible, scalable, and preserves data integrity (no imputation of missing values).
I need to add input validation and do some additional testing, but not bad for a day of figuring stuff out.