2501975684_FinalExam
2501975684_Arvio Anandi
2022-07-15
Link Video: https://drive.google.com/file/d/1ueQYvtKdnfnxbJr-5ptv8U89bDjBGf-z/view?usp=sharing
The purpose of this logistic regression is to predict patient’s chance of getting a stroke contingent to the independent variables conditioned.
library(ROCR)## Warning: package 'ROCR' was built under R version 4.1.3library(rpart)
library(rpart.plot)## Warning: package 'rpart.plot' was built under R version 4.1.3library(dplyr)##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionlibrary(ggplot2)
library(ggthemes)
data <- read.csv("StrokeData.csv")EXPLANATION
Loading packages and datasets.
head(data)## id gender age hypertension heart_disease ever_married work_type
## 1 9046 Male 67 0 1 Yes Private
## 2 51676 Female 61 0 0 Yes Self-employed
## 3 31112 Male 80 0 1 Yes Private
## 4 60182 Female 49 0 0 Yes Private
## 5 1665 Female 79 1 0 Yes Self-employed
## 6 56669 Male 81 0 0 Yes Private
## Residence_type avg_glucose_level bmi smoking_status stroke
## 1 Urban 228.69 36.6 formerly smoked 1
## 2 Rural 202.21 N/A never smoked 1
## 3 Rural 105.92 32.5 never smoked 1
## 4 Urban 171.23 34.4 smokes 1
## 5 Rural 174.12 24 never smoked 1
## 6 Urban 186.21 29 formerly smoked 1EXPLANATION
Table shows head of the dataset.
dim(data)## [1] 5110 12EXPLANATION
There is a total number of 5110 records and 12 features.
str(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 ...EXPLANATION
Features Information
1.) id (integer): unique identifier
2.) gender (character): “Male”, “Female” or “Other”
3) age (numeric): age of the patient
4) hypertension (integer): 0 if the patient doesn’t have hypertension, 1
if the patient has hypertension
5) heart_disease (integer): 0 if the patient doesn’t have any heart
diseases, 1 if the patient has a heart disease
6) ever_married (character): “No” or “Yes”
7) work_type (character): “children”, “Govt_jov”, “Never_worked”,
“Private” or “Self-employed”
8) Residence_type (character): “Rural” or “Urban”
9) avg_glucose_level (numeric): average glucose level in blood
10) bmi (character): body mass index
11) smoking_status (character): “formerly smoked”, “never smoked”,
“smokes” or “Unknown”
12) stroke (integer): 1 if the patient had a stroke or 0 if not
*Note: “Unknown” in smoking_status means that the information is
unavailable for this patient
length(data[data=="?"])## [1] 0EXPLANATION
There are no levels with the label “?” in this dataset.
data$gender <- as.factor(data$gender)
data$ever_married <- as.factor(data$ever_married)
data$work_type <- as.factor(data$work_type)
data$Residence_type <- as.factor(data$Residence_type)
data$bmi <- as.numeric(data$bmi)## Warning: NAs introduced by coerciondata$smoking_status <- as.factor(data$smoking_status)
data$stroke <- as.factor(data$stroke)
data$heart_disease <- as.factor(data$heart_disease)
data$hypertension <- as.factor(data$hypertension)
str(data)## 'data.frame': 5110 obs. of 12 variables:
## $ id : int 9046 51676 31112 60182 1665 56669 53882 10434 27419 60491 ...
## $ gender : Factor w/ 3 levels "Female","Male",..: 2 1 2 1 1 2 2 1 1 1 ...
## $ age : num 67 61 80 49 79 81 74 69 59 78 ...
## $ hypertension : Factor w/ 2 levels "0","1": 1 1 1 1 2 1 2 1 1 1 ...
## $ heart_disease : Factor w/ 2 levels "0","1": 2 1 2 1 1 1 2 1 1 1 ...
## $ ever_married : Factor w/ 2 levels "No","Yes": 2 2 2 2 2 2 2 1 2 2 ...
## $ work_type : Factor w/ 5 levels "children","Govt_job",..: 4 5 4 4 5 4 4 4 4 4 ...
## $ Residence_type : Factor w/ 2 levels "Rural","Urban": 2 1 1 2 1 2 1 2 1 2 ...
## $ avg_glucose_level: num 229 202 106 171 174 ...
## $ bmi : num 36.6 NA 32.5 34.4 24 29 27.4 22.8 NA 24.2 ...
## $ smoking_status : Factor w/ 4 levels "formerly smoked",..: 1 2 2 3 2 1 2 2 4 4 ...
## $ stroke : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...EXPLANATION
We convert data types according to each of its types. e.g gender from
character to factor.
sapply(data, function(x) sum(is.na(x)))## 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
## 0 201 0 0EXPLANATION
- Only BMI feature has missing values
- BMI has 201 records with missing values
Checking for assumptions
t <- ggplot(data, aes(id,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
Since there is too much unique values which are random and it shows that
id and stroke have no correlation in real life, then it is better to
remove id as independent variable.
t <- ggplot(data, aes(gender,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
Gender characteristic doesn’t have so much significance.
t <- ggplot(data, aes(age,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
We can say that people of age > 40 is prone to having stroke.
t <- ggplot(data, aes(hypertension,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
It seems that hypertension has an effect on chance of getting stroke
within a small proportion.
t <- ggplot(data, aes(heart_disease,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
1. People with heart disease have more tendencies of having a
stroke.
2. People with no heart disease have less tendencies of having a
stroke.
t <- ggplot(data, aes(ever_married,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
People who ever married have more probability to have stroke compared to
people who never married.
t <- ggplot(data, aes(work_type,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
- People with self-employed jobs have the most probability of getting
a stroke from all the work types.
- Children have the least probability of getting a stroke.
t <- ggplot(data, aes(Residence_type,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
There isn’t anything important to interpret from residence type.
t <- ggplot(data, aes(avg_glucose_level,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
Average glucose level distribution is random.
t <- ggplot(data, aes(bmi,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)## Warning: Removed 201 rows containing non-finite values (stat_count).
EXPLANATION
People ranging within 15 to 50 of BMI tend to have stroke compared to
other intervals.
t <- ggplot(data, aes(smoking_status,fill = stroke))
t <- t + geom_histogram(stat="count")## Warning: Ignoring unknown parameters: binwidth, bins, padprint(t)
EXPLANATION
1. People who smoke have more probability of getting a stroke.
2. People who never smoked have the least probability of getting a
stroke than the other labels.
sapply(data, function(x) length(unique(x)))## id gender age hypertension
## 5110 3 104 2
## heart_disease ever_married work_type Residence_type
## 2 2 5 2
## avg_glucose_level bmi smoking_status stroke
## 3979 419 4 2EXPLANATION
We can deduct:
- Feature Id should be removed because there is no correlation between
the label with probability of having a stroke.
- We can fit the rest of the features to our model.
Data preparation
data$id <- NULL
sapply(data, function(x) sum(is.na(x)))## gender age hypertension heart_disease
## 0 0 0 0
## ever_married work_type Residence_type avg_glucose_level
## 0 0 0 0
## bmi smoking_status stroke
## 201 0 0EXPLANATION
We remove id variable from the dataset as it is not needed.
data$bmi[is.na(data$bmi)] <- mean(data$bmi, na.rm=T)
sapply(data, function(x) sum(is.na(x)))## gender age hypertension heart_disease
## 0 0 0 0
## ever_married work_type Residence_type avg_glucose_level
## 0 0 0 0
## bmi smoking_status stroke
## 0 0 0EXPLANATION
We handle the missing values for bmi feature by changing it to mean of
the feature.
Verifying imbalances in dataset
xtabs(~ stroke + gender, data=data)## gender
## stroke Female Male Other
## 0 2853 2007 1
## 1 141 108 0xtabs(~ stroke + age , data=data)## age
## stroke 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
## 0 2 3 5 5 2 3 5 4 5 4 5 5 8 4 8
## 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## age
## stroke 1.32 1.4 1.48 1.56 1.64 1.72 1.8 1.88 2 3 4 5 6 7 8 9 10 11 12
## 0 7 3 6 4 8 6 9 8 55 46 34 65 24 32 58 38 35 36 45
## 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## age
## stroke 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36
## 0 57 53 45 52 60 60 50 59 47 45 64 55 57 62 55 54 51 55 79 70 57 68 54 52
## 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
## age
## stroke 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
## 0 76 70 68 74 73 70 69 75 82 61 74 64 76 80 82 88 83 81 81 74 84 61 72 68
## 1 0 2 3 0 0 1 1 0 3 1 1 2 3 3 4 2 2 6 2 3 11 7 8 4
## age
## stroke 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82
## 0 70 74 65 50 59 56 46 38 48 39 54 39 42 31 47 40 34 81 68 53 46 47
## 1 6 0 9 3 3 4 3 9 6 6 7 6 4 9 6 10 8 21 17 17 14 9xtabs(~ stroke + hypertension, data=data)## hypertension
## stroke 0 1
## 0 4429 432
## 1 183 66xtabs(~ stroke + heart_disease, data=data)## heart_disease
## stroke 0 1
## 0 4632 229
## 1 202 47xtabs(~ stroke + ever_married, data=data)## ever_married
## stroke No Yes
## 0 1728 3133
## 1 29 220xtabs(~ stroke + work_type, data=data)## work_type
## stroke children Govt_job Never_worked Private Self-employed
## 0 685 624 22 2776 754
## 1 2 33 0 149 65xtabs(~ stroke + Residence_type, data=data)## Residence_type
## stroke Rural Urban
## 0 2400 2461
## 1 114 135xtabs(~ stroke + avg_glucose_level, data=data)## avg_glucose_level
## stroke 55.12 55.22 55.23 55.25 55.26 55.27 55.28 55.32 55.34 55.35 55.39 55.41
## 0 1 1 1 1 1 1 1 1 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 55.42 55.46 55.47 55.51 55.57 55.58 55.59 55.61 55.62 55.64 55.67 55.72
## 0 1 1 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 55.78 55.79 55.83 55.84 55.86 55.93 55.96 56.07 56.08 56.11 56.12 56.13
## 0 1 1 1 1 1 1 1 2 2 3 2 1
## 1 0 0 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 56.18 56.21 56.23 56.3 56.31 56.32 56.33 56.34 56.37 56.42 56.43 56.47
## 0 1 1 1 2 1 1 2 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 56.48 56.51 56.63 56.64 56.67 56.71 56.74 56.75 56.77 56.79 56.84 56.85
## 0 2 1 1 1 1 1 1 2 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 56.87 56.89 56.9 56.94 56.95 56.96 56.99 57.02 57.06 57.08 57.09 57.1
## 0 1 1 2 1 1 1 1 3 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 57.15 57.17 57.26 57.27 57.28 57.3 57.33 57.37 57.38 57.4 57.42 57.43
## 0 1 1 1 1 2 1 2 1 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 57.46 57.47 57.51 57.52 57.56 57.57 57.59 57.6 57.76 57.77 57.79 57.8
## 0 1 1 2 1 2 2 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 57.82 57.83 57.89 57.92 57.93 57.94 57.95 57.96 58.01 58.02 58.03 58.09
## 0 1 1 1 1 1 1 1 1 2 1 1 0
## 1 0 0 0 1 1 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 58.14 58.19 58.23 58.24 58.25 58.26 58.29 58.3 58.35 58.37 58.38 58.39
## 0 1 2 1 1 1 1 1 1 2 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 58.41 58.42 58.47 58.48 58.51 58.55 58.57 58.63 58.64 58.65 58.66 58.69
## 0 1 2 1 1 1 1 0 2 1 2 2 1
## 1 0 0 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 58.7 58.71 58.72 58.81 58.86 58.87 58.88 58.89 58.95 58.96 59 59.05
## 0 1 1 1 1 1 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 59.07 59.11 59.14 59.15 59.17 59.2 59.26 59.28 59.31 59.32 59.35 59.36
## 0 1 1 1 1 1 2 1 2 1 0 0 1
## 1 0 0 0 0 0 0 0 0 0 1 1 0
## avg_glucose_level
## stroke 59.43 59.48 59.49 59.52 59.54 59.61 59.62 59.63 59.67 59.68 59.74 59.76
## 0 1 1 2 2 1 2 2 1 2 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 59.78 59.82 59.83 59.85 59.86 59.87 59.89 59.91 59.93 59.99 60.01 60.02
## 0 1 1 1 1 0 1 1 2 1 1 1 1
## 1 0 0 0 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 60.05 60.06 60.09 60.13 60.17 60.2 60.22 60.26 60.32 60.34 60.35 60.36
## 0 1 1 1 1 1 1 3 1 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 60.37 60.39 60.4 60.41 60.5 60.53 60.56 60.57 60.6 60.61 60.64 60.67
## 0 1 2 1 1 1 1 1 1 2 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 60.69 60.7 60.73 60.74 60.77 60.84 60.91 60.94 60.96 60.98 60.99 61.01
## 0 1 2 1 1 2 1 1 0 1 3 1 1
## 1 0 0 0 0 0 0 1 1 0 1 0 0
## avg_glucose_level
## stroke 61.04 61.07 61.1 61.11 61.13 61.27 61.29 61.32 61.34 61.36 61.38 61.42
## 0 1 1 2 2 1 1 2 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 61.45 61.47 61.53 61.54 61.57 61.61 61.67 61.68 61.75 61.78 61.8 61.81
## 0 1 1 1 2 1 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 61.83 61.87 61.88 61.94 61.96 61.98 62 62.02 62.08 62.12 62.13 62.2
## 0 1 1 2 2 1 1 2 1 1 1 2 1
## 1 0 0 0 1 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 62.21 62.25 62.27 62.32 62.37 62.4 62.41 62.44 62.46 62.47 62.48 62.49
## 0 1 1 1 1 1 1 1 2 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 62.52 62.54 62.55 62.56 62.57 62.6 62.61 62.62 62.63 62.64 62.66 62.67
## 0 1 1 0 2 2 3 2 1 1 1 2 1
## 1 0 0 1 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 62.68 62.69 62.78 62.81 62.89 62.91 62.93 62.99 63.01 63.08 63.16 63.18
## 0 2 1 1 1 2 1 1 2 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 63.19 63.22 63.26 63.27 63.28 63.32 63.33 63.37 63.4 63.41 63.42 63.43
## 0 1 1 1 1 2 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 63.45 63.47 63.49 63.53 63.56 63.57 63.6 63.61 63.63 63.64 63.65 63.69
## 0 1 1 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 63.71 63.72 63.73 63.74 63.78 63.82 63.86 63.9 63.94 63.95 63.98 64.02
## 0 2 1 2 1 2 1 1 1 1 1 3 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 64.06 64.07 64.08 64.09 64.1 64.14 64.15 64.17 64.18 64.2 64.27 64.29
## 0 1 1 1 1 1 0 1 0 1 1 1 1
## 1 0 0 0 0 0 1 0 1 0 0 0 0
## avg_glucose_level
## stroke 64.37 64.4 64.41 64.44 64.45 64.51 64.55 64.6 64.62 64.64 64.66 64.68
## 0 1 2 1 1 2 2 1 1 1 1 2 1
## 1 0 0 0 1 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 64.84 64.85 64.87 64.92 64.94 64.99 65.01 65.04 65.05 65.07 65.08 65.09
## 0 1 1 1 2 1 1 2 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 65.12 65.15 65.16 65.21 65.22 65.24 65.25 65.28 65.29 65.3 65.32 65.33
## 0 3 1 1 2 1 1 1 1 2 2 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 65.34 65.36 65.38 65.4 65.41 65.42 65.43 65.44 65.45 65.46 65.47 65.48
## 0 1 3 2 1 2 2 1 1 1 1 2 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 65.49 65.5 65.51 65.52 65.58 65.59 65.6 65.61 65.63 65.66 65.67 65.68
## 0 1 1 2 1 1 1 1 1 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 65.69 65.7 65.71 65.77 65.78 65.79 65.81 65.82 65.84 65.85 65.87 65.88
## 0 1 1 1 2 1 1 1 1 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 65.9 65.91 65.93 65.95 65.96 65.98 66.01 66.03 66.06 66.07 66.08 66.11
## 0 1 1 1 1 2 3 1 0 1 1 1 2
## 1 0 0 0 0 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 66.12 66.13 66.16 66.17 66.2 66.22 66.24 66.25 66.29 66.3 66.32 66.33
## 0 1 1 2 1 1 1 1 1 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 66.36 66.42 66.46 66.47 66.51 66.55 66.59 66.61 66.67 66.69 66.7 66.71
## 0 1 1 2 1 1 3 1 1 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 66.72 66.85 66.96 67.02 67.03 67.06 67.07 67.08 67.1 67.21 67.26 67.27
## 0 0 1 1 2 1 3 2 1 2 1 1 1
## 1 1 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 67.28 67.29 67.3 67.33 67.38 67.39 67.41 67.5 67.53 67.55 67.56 67.66
## 0 1 1 1 1 1 1 0 2 1 2 1 1
## 1 0 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 67.68 67.73 67.75 67.76 67.78 67.79 67.8 67.81 67.84 67.87 67.9 67.92
## 0 2 1 1 1 1 1 1 1 2 2 1 4
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 67.96 67.97 67.99 68.01 68.02 68.07 68.09 68.12 68.13 68.17 68.18 68.19
## 0 1 3 2 1 0 1 1 1 1 1 1 2
## 1 0 0 0 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 68.24 68.27 68.34 68.35 68.37 68.38 68.4 68.41 68.42 68.43 68.44 68.48
## 0 2 2 3 3 2 2 3 1 1 0 1 2
## 1 0 0 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 68.49 68.52 68.53 68.56 68.6 68.61 68.62 68.66 68.68 68.7 68.72 68.76
## 0 1 2 1 0 1 1 1 3 1 1 1 1
## 1 0 0 1 1 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 68.78 68.79 68.8 68.84 68.86 68.88 68.91 68.94 68.96 68.98 68.99 69.01
## 0 1 1 2 1 1 1 1 2 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 69.04 69.06 69.09 69.11 69.12 69.15 69.16 69.17 69.18 69.2 69.21 69.22
## 0 1 1 1 1 2 1 1 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 69.23 69.24 69.25 69.26 69.28 69.3 69.34 69.35 69.37 69.38 69.4 69.42
## 0 1 4 1 1 1 1 2 1 2 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 69.45 69.46 69.47 69.48 69.5 69.52 69.53 69.54 69.58 69.61 69.67 69.68
## 0 1 1 1 1 1 2 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 69.7 69.72 69.74 69.76 69.77 69.79 69.82 69.84 69.87 69.88 69.89 69.91
## 0 1 2 1 1 2 1 1 1 1 3 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 69.92 69.94 69.97 69.99 70 70.01 70.02 70.03 70.04 70.06 70.07 70.08
## 0 2 2 1 1 2 1 1 2 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 70.09 70.11 70.13 70.15 70.16 70.18 70.19 70.21 70.22 70.23 70.25 70.28
## 0 0 1 2 2 2 1 1 1 1 2 1 1
## 1 1 0 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 70.29 70.3 70.31 70.32 70.33 70.34 70.35 70.37 70.38 70.43 70.45 70.48
## 0 1 0 1 1 1 1 1 0 1 1 1 1
## 1 0 1 0 0 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 70.51 70.52 70.53 70.54 70.55 70.56 70.58 70.59 70.61 70.65 70.66 70.67
## 0 3 1 2 2 1 2 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 70.7 70.71 70.73 70.75 70.78 70.87 70.89 70.91 70.92 70.93 70.94 70.96
## 0 1 1 2 1 1 2 1 1 1 2 0 2
## 1 0 0 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 70.98 71.02 71.06 71.08 71.12 71.15 71.16 71.18 71.2 71.22 71.25 71.26
## 0 1 1 4 2 1 1 1 1 1 1 2 1
## 1 0 0 0 0 0 0 0 0 1 1 0 0
## avg_glucose_level
## stroke 71.29 71.3 71.31 71.32 71.34 71.37 71.38 71.4 71.42 71.43 71.44 71.46
## 0 1 1 1 1 1 1 2 2 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 71.5 71.58 71.59 71.63 71.66 71.7 71.71 71.73 71.77 71.79 71.8 71.81
## 0 2 1 1 2 1 1 1 1 1 1 2 3
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 71.88 71.89 71.91 71.92 71.93 71.94 71.97 71.98 72 72.01 72.02 72.03
## 0 2 1 1 1 2 1 2 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 72.04 72.06 72.07 72.08 72.09 72.1 72.12 72.13 72.16 72.17 72.18 72.19
## 0 1 1 1 1 2 1 1 1 1 0 1 1
## 1 0 0 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 72.2 72.28 72.29 72.33 72.34 72.35 72.36 72.39 72.42 72.49 72.5 72.52
## 0 2 1 1 1 1 1 2 1 1 5 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 72.53 72.54 72.55 72.56 72.6 72.61 72.62 72.63 72.64 72.65 72.67 72.71
## 0 1 1 1 2 1 2 1 1 1 1 0 2
## 1 0 0 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 72.73 72.75 72.76 72.79 72.81 72.84 72.88 72.93 72.94 72.96 72.99 73
## 0 0 1 2 2 1 2 1 1 1 1 1 5
## 1 1 0 0 0 1 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 73.01 73.02 73.04 73.06 73.07 73.08 73.18 73.19 73.2 73.24 73.27 73.28
## 0 1 2 1 1 1 1 1 1 3 1 3 1
## 1 0 0 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 73.29 73.31 73.32 73.33 73.36 73.37 73.39 73.4 73.41 73.44 73.48 73.49
## 0 3 1 1 1 2 1 1 1 1 1 3 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 73.5 73.54 73.56 73.57 73.58 73.6 73.62 73.63 73.65 73.66 73.67 73.69
## 0 2 1 2 1 1 1 2 1 1 1 1 2
## 1 0 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 73.7 73.71 73.72 73.73 73.74 73.75 73.76 73.78 73.81 73.83 73.87 73.89
## 0 1 2 2 1 1 2 2 1 1 1 3 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 73.92 73.94 73.98 73.99 74 74.01 74.02 74.04 74.05 74.06 74.08 74.09
## 0 1 1 1 1 2 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 74.1 74.11 74.12 74.14 74.15 74.16 74.17 74.19 74.2 74.22 74.23 74.24
## 0 0 1 1 1 1 1 1 1 1 1 1 1
## 1 1 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 74.26 74.28 74.29 74.32 74.33 74.34 74.35 74.36 74.39 74.42 74.43 74.44
## 0 1 1 2 1 1 1 3 2 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 74.46 74.5 74.51 74.52 74.53 74.54 74.55 74.58 74.61 74.63 74.64 74.65
## 0 1 2 2 1 1 1 1 1 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 74.66 74.7 74.72 74.79 74.8 74.81 74.82 74.83 74.85 74.86 74.88 74.9
## 0 1 1 1 2 2 1 1 1 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 74.91 74.96 74.98 74.99 75 75.02 75.03 75.04 75.05 75.06 75.07 75.08
## 0 1 1 1 1 1 0 1 1 1 3 1 1
## 1 0 1 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 75.09 75.1 75.13 75.15 75.16 75.18 75.19 75.22 75.23 75.25 75.27 75.28
## 0 2 1 1 1 1 1 2 3 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 75.29 75.3 75.32 75.34 75.39 75.4 75.41 75.42 75.43 75.46 75.47 75.5
## 0 1 1 0 1 1 1 1 1 1 1 1 2
## 1 0 0 1 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 75.52 75.53 75.56 75.62 75.64 75.67 75.69 75.7 75.73 75.74 75.77 75.78
## 0 1 2 1 1 1 1 1 1 1 1 3 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 75.79 75.82 75.84 75.85 75.86 75.87 75.88 75.9 75.91 75.92 75.93 75.94
## 0 1 1 1 1 1 1 2 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 75.95 75.98 76 76.03 76.04 76.05 76.08 76.09 76.1 76.11 76.12 76.13
## 0 1 1 1 2 1 1 1 1 1 1 3 0
## 1 0 0 0 0 0 0 0 0 0 1 0 1
## avg_glucose_level
## stroke 76.15 76.19 76.2 76.21 76.22 76.25 76.26 76.28 76.3 76.31 76.34 76.35
## 0 0 2 1 1 1 1 2 1 1 1 2 1
## 1 1 0 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 76.36 76.42 76.43 76.44 76.45 76.46 76.47 76.5 76.51 76.52 76.55 76.56
## 0 1 2 1 1 1 0 1 1 2 1 2 1
## 1 0 0 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 76.57 76.58 76.62 76.63 76.64 76.66 76.68 76.7 76.72 76.74 76.77 76.78
## 0 1 1 1 2 2 2 1 2 2 3 1 1
## 1 1 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 76.79 76.81 76.82 76.83 76.88 76.89 76.92 76.93 76.98 76.99 77.01 77.04
## 0 1 1 1 1 1 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 77.06 77.07 77.08 77.1 77.12 77.16 77.19 77.2 77.23 77.24 77.26 77.28
## 0 1 1 2 1 3 2 2 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 77.29 77.3 77.32 77.33 77.35 77.37 77.42 77.43 77.44 77.45 77.46 77.48
## 0 2 1 1 1 1 1 2 1 1 1 3 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 77.49 77.5 77.51 77.52 77.53 77.54 77.55 77.57 77.59 77.6 77.63 77.65
## 0 1 1 1 3 1 2 4 2 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 77.66 77.67 77.68 77.72 77.73 77.75 77.76 77.77 77.79 77.82 77.83 77.86
## 0 1 4 1 1 1 1 1 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 77.87 77.88 77.91 77.92 77.93 77.94 77.95 77.96 77.99 78 78.02 78.03
## 0 1 1 3 2 3 2 1 1 2 1 1 0
## 1 0 0 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 78.04 78.05 78.08 78.09 78.11 78.12 78.14 78.16 78.18 78.23 78.24 78.26
## 0 2 3 1 1 2 1 1 2 1 1 4 2
## 1 0 0 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 78.28 78.29 78.3 78.32 78.34 78.35 78.38 78.4 78.42 78.43 78.44 78.45
## 0 1 3 1 2 2 1 1 1 1 3 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 78.46 78.48 78.49 78.5 78.52 78.53 78.57 78.59 78.65 78.68 78.7 78.73
## 0 2 3 1 1 1 1 1 2 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 78.74 78.75 78.76 78.78 78.79 78.8 78.81 78.85 78.88 78.9 78.91 78.92
## 0 1 1 1 1 3 1 0 2 1 2 1 0
## 1 0 0 0 0 0 1 1 0 0 0 0 1
## avg_glucose_level
## stroke 78.93 78.94 78.96 78.97 78.98 78.99 79 79.02 79.03 79.05 79.08 79.09
## 0 3 2 1 1 2 1 1 1 3 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 79.13 79.14 79.15 79.16 79.17 79.18 79.2 79.21 79.22 79.25 79.26 79.27
## 0 1 1 1 2 2 2 3 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 79.3 79.33 79.34 79.35 79.36 79.39 79.42 79.44 79.47 79.49 79.51 79.53
## 0 2 3 1 2 1 2 1 2 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 79.54 79.55 79.56 79.57 79.58 79.59 79.6 79.61 79.62 79.63 79.64 79.66
## 0 1 2 1 2 2 2 2 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 79.69 79.7 79.73 79.76 79.77 79.79 79.8 79.81 79.82 79.83 79.84 79.85
## 0 1 1 1 1 1 1 2 3 1 1 1 1
## 1 0 0 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 79.87 79.89 79.91 79.92 79.94 79.95 79.96 79.98 79.99 80 80.01 80.05
## 0 1 4 1 2 2 1 1 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 80.06 80.07 80.08 80.09 80.1 80.13 80.15 80.17 80.18 80.19 80.2 80.21
## 0 1 2 4 1 1 0 1 1 1 1 1 1
## 1 0 0 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 80.22 80.24 80.25 80.27 80.28 80.3 80.33 80.34 80.35 80.4 80.42 80.43
## 0 1 1 1 1 2 1 1 1 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 80.44 80.47 80.48 80.51 80.54 80.55 80.57 80.59 80.63 80.67 80.72 80.73
## 0 2 2 1 1 1 2 3 1 4 1 4 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 80.74 80.75 80.76 80.77 80.79 80.8 80.81 80.82 80.83 80.84 80.85 80.86
## 0 1 1 1 1 1 2 2 2 2 1 2 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 80.88 80.89 80.92 80.93 80.94 80.96 80.97 80.98 80.99 81 81.02 81.03
## 0 2 1 3 2 1 1 1 2 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 81.05 81.06 81.1 81.11 81.13 81.15 81.18 81.2 81.21 81.24 81.25 81.26
## 0 2 1 1 2 2 1 2 1 2 1 2 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 81.28 81.31 81.32 81.33 81.36 81.38 81.42 81.43 81.44 81.51 81.53 81.54
## 0 1 2 1 2 1 2 2 1 1 4 1 3
## 1 0 0 1 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 81.58 81.59 81.6 81.64 81.66 81.68 81.71 81.73 81.74 81.76 81.77 81.78
## 0 1 2 1 2 2 3 1 2 1 1 3 2
## 1 0 0 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 81.84 81.87 81.88 81.9 81.92 81.94 81.95 81.96 81.99 82 82.01 82.02
## 0 1 1 1 1 2 2 0 3 1 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 82.05 82.06 82.07 82.08 82.09 82.1 82.12 82.13 82.14 82.15 82.18 82.19
## 0 1 1 2 2 2 1 1 1 1 1 2 1
## 1 0 0 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 82.2 82.21 82.24 82.25 82.26 82.27 82.28 82.3 82.31 82.32 82.33 82.34
## 0 1 2 2 1 2 2 0 1 2 1 1 2
## 1 0 0 0 0 0 0 1 1 0 0 0 0
## avg_glucose_level
## stroke 82.35 82.36 82.37 82.38 82.39 82.4 82.41 82.42 82.43 82.44 82.46 82.47
## 0 2 1 1 2 3 1 3 1 1 3 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 82.48 82.49 82.53 82.56 82.57 82.58 82.59 82.61 82.62 82.63 82.64 82.67
## 0 1 1 1 2 3 1 3 1 2 1 3 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 82.68 82.69 82.71 82.72 82.73 82.77 82.81 82.83 82.84 82.85 82.86 82.88
## 0 1 1 1 2 1 1 2 2 1 3 1 1
## 1 0 0 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 82.89 82.9 82.91 82.93 82.94 82.95 82.99 83.01 83.02 83.03 83.06 83.07
## 0 1 1 2 2 1 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 83.09 83.1 83.12 83.13 83.14 83.15 83.16 83.2 83.23 83.24 83.26 83.27
## 0 1 2 2 2 2 1 5 1 1 0 2 2
## 1 0 0 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 83.28 83.3 83.33 83.34 83.37 83.41 83.42 83.43 83.44 83.5 83.51 83.52
## 0 1 2 1 1 2 1 1 1 1 2 3 2
## 1 0 0 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 83.53 83.55 83.56 83.57 83.58 83.59 83.6 83.61 83.62 83.64 83.65 83.66
## 0 1 2 2 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 83.68 83.7 83.73 83.74 83.75 83.76 83.78 83.79 83.8 83.82 83.83 83.84
## 0 1 2 1 1 3 1 1 2 1 1 2 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 83.85 83.86 83.88 83.89 83.91 83.93 83.94 83.95 83.97 84.02 84.03 84.04
## 0 1 1 2 2 3 1 1 1 1 1 2 2
## 1 0 0 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 84.06 84.07 84.08 84.09 84.1 84.11 84.12 84.13 84.14 84.16 84.17 84.18
## 0 1 2 2 1 5 1 2 2 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 84.19 84.2 84.21 84.25 84.27 84.3 84.31 84.35 84.37 84.38 84.4 84.41
## 0 1 1 2 1 1 2 3 1 1 1 4 1
## 1 0 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 84.42 84.43 84.44 84.46 84.47 84.48 84.49 84.5 84.54 84.56 84.58 84.59
## 0 1 2 1 3 1 2 2 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 84.6 84.62 84.63 84.66 84.68 84.69 84.7 84.75 84.78 84.79 84.81 84.84
## 0 2 1 1 1 2 1 1 1 1 3 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 84.85 84.86 84.88 84.9 84.91 84.92 84.93 84.94 84.96 84.99 85 85.02
## 0 2 4 2 2 1 1 3 1 0 1 2 1
## 1 0 0 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 85.03 85.04 85.06 85.07 85.08 85.12 85.13 85.15 85.16 85.17 85.18 85.22
## 0 2 2 1 3 1 2 1 1 2 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 85.23 85.27 85.28 85.29 85.33 85.35 85.37 85.38 85.46 85.48 85.51 85.52
## 0 1 2 1 2 2 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 85.53 85.54 85.55 85.57 85.59 85.6 85.62 85.64 85.65 85.66 85.68 85.77
## 0 1 1 1 2 2 3 2 1 1 2 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 85.79 85.81 85.82 85.83 85.84 85.86 85.87 85.88 85.9 85.91 85.92 85.96
## 0 2 4 3 1 4 1 1 1 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 85.97 85.98 85.99 86 86.03 86.04 86.05 86.06 86.07 86.09 86.1 86.11
## 0 1 1 1 3 1 1 2 4 2 2 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 86.15 86.19 86.21 86.23 86.24 86.25 86.26 86.3 86.32 86.33 86.34 86.35
## 0 1 1 3 0 2 2 1 1 1 1 1 1
## 1 0 0 0 1 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 86.36 86.37 86.38 86.39 86.4 86.46 86.49 86.51 86.53 86.55 86.57 86.58
## 0 2 1 1 1 2 1 1 1 2 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 86.6 86.61 86.62 86.67 86.68 86.7 86.73 86.74 86.75 86.78 86.84 86.85
## 0 2 1 0 2 1 1 1 1 1 2 1 1
## 1 0 0 1 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 86.86 86.87 86.91 86.92 86.93 86.94 86.95 86.96 86.97 86.99 87 87.01
## 0 2 1 1 1 1 0 1 3 2 2 2 1
## 1 0 0 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 87.03 87.06 87.08 87.09 87.1 87.11 87.12 87.15 87.16 87.17 87.18 87.2
## 0 1 2 1 1 2 1 1 3 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 87.21 87.23 87.24 87.25 87.26 87.27 87.29 87.33 87.34 87.39 87.4 87.41
## 0 1 1 1 1 1 1 1 1 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 87.43 87.44 87.47 87.49 87.5 87.51 87.52 87.54 87.56 87.62 87.66 87.69
## 0 1 1 1 1 1 2 2 2 1 2 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 87.7 87.71 87.72 87.74 87.77 87.78 87.79 87.8 87.81 87.82 87.84 87.85
## 0 1 1 4 2 2 1 1 0 2 1 1 0
## 1 0 0 0 0 0 0 0 1 0 0 0 1
## avg_glucose_level
## stroke 87.86 87.87 87.88 87.91 87.92 87.93 87.94 87.95 87.96 87.98 88 88.02
## 0 1 1 1 1 2 1 2 1 2 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 88.04 88.05 88.06 88.1 88.11 88.13 88.17 88.18 88.19 88.2 88.23 88.24
## 0 2 1 1 1 1 1 1 1 2 2 2 1
## 1 0 0 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 88.27 88.29 88.31 88.32 88.33 88.34 88.38 88.39 88.41 88.43 88.44 88.47
## 0 2 1 1 1 1 1 2 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 88.48 88.49 88.5 88.51 88.52 88.53 88.54 88.56 88.57 88.6 88.62 88.63
## 0 1 1 1 3 1 1 1 1 2 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 88.65 88.66 88.68 88.69 88.75 88.78 88.79 88.81 88.82 88.83 88.85 88.88
## 0 3 1 1 1 1 1 3 2 1 4 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 88.89 88.9 88.92 88.97 88.98 89 89.01 89.02 89.03 89.04 89.05 89.06
## 0 1 1 0 3 1 1 1 1 2 1 1 2
## 1 0 0 1 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 89.11 89.13 89.14 89.16 89.17 89.18 89.21 89.22 89.24 89.28 89.29 89.3
## 0 4 0 2 1 1 2 1 1 2 2 1 3
## 1 0 1 0 0 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 89.31 89.32 89.33 89.37 89.38 89.41 89.42 89.43 89.44 89.45 89.52 89.53
## 0 1 3 1 1 1 1 1 1 2 2 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 89.57 89.58 89.59 89.61 89.63 89.68 89.7 89.72 89.73 89.74 89.75 89.77
## 0 2 1 1 3 1 4 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 89.81 89.83 89.84 89.85 89.86 89.87 89.88 89.93 89.95 89.96 89.98 89.99
## 0 1 1 1 1 1 1 1 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 90 90.01 90.04 90.06 90.07 90.1 90.11 90.12 90.15 90.16 90.19 90.21
## 0 2 2 1 2 2 1 2 1 1 2 1 1
## 1 1 0 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 90.22 90.26 90.28 90.29 90.3 90.31 90.35 90.36 90.38 90.39 90.4 90.42
## 0 2 2 1 1 2 2 3 1 1 1 2 4
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 90.43 90.44 90.46 90.49 90.51 90.52 90.54 90.55 90.57 90.58 90.6 90.61
## 0 3 1 1 1 2 1 2 2 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 90.62 90.65 90.66 90.67 90.68 90.69 90.71 90.73 90.74 90.77 90.78 90.84
## 0 1 2 1 1 1 1 1 1 1 3 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 90.87 90.9 90.91 90.92 90.95 90.96 90.97 91 91.01 91.02 91.04 91.05
## 0 1 1 1 2 1 1 1 1 1 1 2 2
## 1 0 1 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 91.08 91.09 91.13 91.16 91.18 91.19 91.21 91.23 91.25 91.28 91.3 91.32
## 0 3 1 1 1 1 1 2 1 2 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 91.34 91.35 91.36 91.44 91.45 91.46 91.47 91.53 91.54 91.56 91.57 91.58
## 0 2 2 1 1 2 1 1 2 1 1 1 1
## 1 0 0 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 91.6 91.61 91.63 91.65 91.68 91.69 91.71 91.72 91.81 91.82 91.85 91.88
## 0 1 1 2 3 5 1 1 1 1 3 5 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 91.89 91.9 91.92 91.93 91.95 91.96 91.97 91.98 92 92.02 92.04 92.06
## 0 2 1 0 2 1 1 1 2 1 1 2 1
## 1 0 0 1 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 92.08 92.11 92.13 92.14 92.15 92.16 92.17 92.2 92.21 92.22 92.23 92.24
## 0 1 2 1 3 1 1 1 1 2 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 92.26 92.27 92.3 92.32 92.34 92.35 92.37 92.39 92.4 92.43 92.44 92.48
## 0 2 1 1 2 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 92.49 92.56 92.59 92.62 92.64 92.65 92.67 92.7 92.71 92.72 92.73 92.74
## 0 2 1 3 1 1 3 1 1 2 1 2 1
## 1 0 0 0 1 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 92.75 92.76 92.77 92.78 92.81 92.82 92.86 92.87 92.9 92.95 92.96 92.97
## 0 1 1 1 1 2 4 3 3 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 92.98 92.99 93 93.02 93.03 93.04 93.05 93.07 93.11 93.13 93.14 93.15
## 0 1 1 1 1 1 2 0 1 1 1 1 1
## 1 1 0 0 0 0 0 1 0 0 1 0 0
## avg_glucose_level
## stroke 93.17 93.18 93.2 93.21 93.23 93.24 93.25 93.28 93.29 93.3 93.34 93.36
## 0 1 1 2 2 1 2 1 2 1 3 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 93.47 93.48 93.51 93.52 93.55 93.58 93.6 93.61 93.62 93.64 93.67 93.68
## 0 1 2 3 2 4 2 2 1 1 1 3 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 93.71 93.72 93.73 93.74 93.76 93.77 93.78 93.79 93.8 93.81 93.85 93.88
## 0 1 1 1 4 1 1 1 1 1 0 2 6
## 1 0 1 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 93.89 93.9 93.93 93.96 93.97 93.99 94 94.03 94.04 94.06 94.07 94.09
## 0 1 1 2 1 2 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 94.11 94.12 94.14 94.15 94.18 94.19 94.2 94.22 94.23 94.24 94.25 94.26
## 0 1 3 1 2 1 2 1 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 94.27 94.29 94.3 94.33 94.34 94.37 94.38 94.39 94.4 94.44 94.45 94.47
## 0 1 1 2 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 94.48 94.49 94.53 94.59 94.61 94.62 94.63 94.64 94.65 94.66 94.67 94.68
## 0 1 1 1 1 1 2 2 1 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 94.69 94.71 94.75 94.76 94.77 94.78 94.88 94.89 94.92 94.96 94.98 95.01
## 0 1 2 2 1 3 1 1 2 3 3 1 3
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 95.02 95.04 95.05 95.07 95.08 95.1 95.12 95.16 95.18 95.19 95.2 95.23
## 0 1 2 1 1 2 2 2 2 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 95.24 95.25 95.27 95.28 95.29 95.31 95.32 95.33 95.36 95.37 95.38 95.39
## 0 1 1 1 1 1 1 1 1 3 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 95.4 95.42 95.43 95.44 95.46 95.47 95.49 95.5 95.52 95.57 95.58 95.59
## 0 2 1 1 2 1 1 3 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 95.62 95.66 95.7 95.75 95.79 95.8 95.81 95.82 95.84 95.85 95.86 95.87
## 0 2 1 1 1 1 1 1 1 0 1 1 3
## 1 0 0 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 95.88 95.89 95.93 95.94 95.98 96 96.01 96.02 96.03 96.04 96.06 96.1
## 0 2 1 1 2 1 1 2 3 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 96.14 96.15 96.16 96.17 96.18 96.19 96.2 96.21 96.24 96.25 96.26 96.28
## 0 1 1 0 1 1 1 1 1 1 1 2 1
## 1 0 0 1 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 96.29 96.3 96.35 96.37 96.42 96.43 96.47 96.52 96.57 96.58 96.59 96.62
## 0 1 1 1 1 1 1 2 1 1 1 0 2
## 1 0 0 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 96.63 96.69 96.7 96.73 96.75 96.77 96.78 96.79 96.81 96.82 96.84 96.85
## 0 1 2 1 1 1 2 1 1 1 1 3 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 96.86 96.88 96.91 96.93 96.95 96.97 96.98 96.99 97.04 97.05 97.06 97.08
## 0 2 1 1 1 1 0 1 1 1 1 3 1
## 1 0 0 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 97.12 97.14 97.16 97.22 97.23 97.24 97.25 97.26 97.27 97.28 97.31 97.32
## 0 1 1 1 1 2 3 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 97.34 97.35 97.37 97.39 97.4 97.41 97.43 97.46 97.47 97.49 97.5 97.51
## 0 1 1 2 2 1 1 0 2 2 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 97.52 97.53 97.55 97.57 97.58 97.59 97.6 97.61 97.64 97.65 97.68 97.73
## 0 1 1 2 1 2 1 2 1 1 1 1 0
## 1 0 0 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 97.76 97.78 97.81 97.84 97.86 97.87 97.89 97.9 97.92 97.93 97.95 97.96
## 0 0 2 1 1 1 1 2 1 1 1 3 1
## 1 1 0 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 97.97 97.99 98.01 98.02 98.03 98.05 98.07 98.09 98.1 98.12 98.14 98.22
## 0 1 1 1 1 1 2 2 2 1 2 2 1
## 1 0 0 0 1 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 98.23 98.24 98.27 98.3 98.34 98.35 98.37 98.39 98.41 98.42 98.44 98.45
## 0 1 1 1 1 1 1 1 1 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 98.46 98.52 98.53 98.54 98.55 98.56 98.57 98.58 98.61 98.65 98.66 98.67
## 0 1 1 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 98.69 98.7 98.71 98.73 98.74 98.76 98.84 98.85 98.9 98.91 98.92 98.99 99
## 0 1 1 1 1 2 1 1 1 2 1 2 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 99.01 99.06 99.07 99.1 99.12 99.13 99.14 99.15 99.16 99.2 99.21 99.23
## 0 1 1 3 1 1 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 99.29 99.3 99.33 99.34 99.35 99.36 99.4 99.44 99.47 99.48 99.49 99.58
## 0 2 1 0 1 1 1 1 3 1 1 2 1
## 1 0 0 1 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 99.6 99.64 99.65 99.67 99.68 99.69 99.71 99.72 99.73 99.75 99.76 99.78
## 0 1 1 1 1 2 1 1 1 1 1 3 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 99.79 99.8 99.82 99.83 99.84 99.87 99.91 99.92 99.94 99.96 99.97 100.01
## 0 1 1 1 2 1 2 1 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 100.02 100.03 100.05 100.06 100.08 100.09 100.12 100.15 100.16 100.19
## 0 1 1 1 1 1 2 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 100.2 100.22 100.26 100.29 100.31 100.33 100.35 100.39 100.41 100.42
## 0 1 1 1 1 2 2 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 100.47 100.49 100.52 100.54 100.6 100.61 100.65 100.66 100.71 100.74
## 0 2 1 2 4 1 2 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 100.75 100.8 100.81 100.82 100.83 100.84 100.85 100.88 100.91 100.93
## 0 1 3 1 1 1 1 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 100.96 100.97 100.98 101.02 101.05 101.06 101.07 101.09 101.12 101.13
## 0 1 1 1 1 1 1 1 1 1 2
## 1 0 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 101.15 101.19 101.22 101.24 101.25 101.26 101.28 101.3 101.31 101.32
## 0 1 2 1 1 1 1 1 2 2 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 101.34 101.35 101.37 101.41 101.43 101.45 101.46 101.5 101.52 101.53
## 0 1 1 1 1 2 0 2 1 2 1
## 1 0 0 0 0 0 2 0 0 0 0
## avg_glucose_level
## stroke 101.56 101.57 101.58 101.6 101.61 101.65 101.66 101.75 101.76 101.79
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 101.81 101.83 101.85 101.87 101.89 101.92 101.93 101.95 101.96 101.98
## 0 2 1 1 2 1 1 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 101.99 102 102.01 102.03 102.04 102.05 102.06 102.07 102.08 102.1 102.11
## 0 1 2 1 1 1 1 1 2 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 102.13 102.15 102.16 102.21 102.27 102.28 102.3 102.34 102.35 102.36
## 0 1 1 0 1 2 1 1 2 1 1
## 1 0 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 102.37 102.39 102.4 102.42 102.46 102.47 102.48 102.5 102.51 102.53
## 0 1 2 1 1 1 1 1 3 2 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 102.54 102.58 102.61 102.64 102.71 102.73 102.76 102.77 102.84 102.87
## 0 1 1 1 2 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 102.88 102.89 102.9 102.91 102.92 102.96 102.97 103 103.01 103.06 103.08
## 0 1 2 1 1 1 1 3 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 103.09 103.11 103.12 103.15 103.17 103.21 103.22 103.25 103.26 103.28
## 0 1 1 1 1 1 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 103.29 103.34 103.35 103.37 103.43 103.44 103.45 103.46 103.48 103.5
## 0 1 1 1 1 1 3 1 1 1 1
## 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 103.51 103.55 103.56 103.58 103.6 103.61 103.62 103.65 103.66 103.68
## 0 1 1 1 1 1 2 1 1 1 0
## 1 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 103.69 103.72 103.73 103.76 103.78 103.79 103.81 103.86 103.89 103.92
## 0 1 1 1 2 3 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 103.94 104 104.02 104.03 104.04 104.05 104.07 104.08 104.09 104.12
## 0 2 1 2 2 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 104.16 104.21 104.23 104.24 104.26 104.3 104.33 104.34 104.36 104.37
## 0 1 2 1 1 1 1 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 104.38 104.4 104.42 104.45 104.47 104.48 104.51 104.55 104.62 104.64
## 0 1 1 1 1 0 2 1 3 1 1
## 1 0 0 0 0 1 0 1 0 0 0
## avg_glucose_level
## stroke 104.66 104.7 104.72 104.75 104.77 104.79 104.86 104.9 104.92 104.95
## 0 1 2 0 1 1 1 1 1 1 1
## 1 0 0 1 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 105.05 105.08 105.18 105.19 105.22 105.26 105.28 105.29 105.34 105.36
## 0 1 1 1 1 2 1 2 2 1 1
## 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 105.47 105.48 105.49 105.51 105.52 105.55 105.59 105.61 105.63 105.72
## 0 1 1 1 1 2 1 1 1 3 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 105.73 105.74 105.75 105.76 105.77 105.88 105.9 105.91 105.92 105.93
## 0 2 1 1 2 2 1 2 1 0 1
## 1 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 105.95 105.99 106.01 106.02 106.03 106.08 106.1 106.11 106.13 106.18
## 0 1 1 1 1 2 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 106.22 106.23 106.24 106.27 106.33 106.35 106.4 106.41 106.43 106.47
## 0 2 1 1 1 1 2 1 2 1 1
## 1 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 106.51 106.52 106.53 106.54 106.56 106.58 106.59 106.65 106.68 106.69
## 0 2 1 1 2 2 0 1 1 2 1
## 1 0 0 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 106.7 106.73 106.74 106.76 106.8 106.83 106.84 106.85 106.95 106.97
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 106.98 107.02 107.06 107.11 107.17 107.18 107.21 107.22 107.25 107.26
## 0 1 1 1 1 1 3 1 1 1 0
## 1 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 107.27 107.29 107.33 107.4 107.41 107.42 107.43 107.45 107.46 107.47
## 0 1 2 1 2 1 2 1 1 1 3
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 107.49 107.5 107.52 107.55 107.58 107.59 107.61 107.69 107.72 107.74
## 0 1 1 2 1 1 2 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 107.78 107.82 107.83 107.84 107.91 107.97 107.98 107.99 108.03 108.06
## 0 1 1 2 1 2 1 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 108.08 108.1 108.12 108.14 108.18 108.2 108.23 108.32 108.33 108.34
## 0 2 1 1 1 1 1 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 108.35 108.38 108.43 108.47 108.51 108.53 108.56 108.61 108.62 108.63
## 0 1 1 1 1 2 1 2 1 2 2
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 108.64 108.65 108.68 108.71 108.72 108.75 108.79 108.8 108.82 108.87
## 0 2 1 1 1 1 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 108.89 108.96 109 109.02 109.03 109.09 109.1 109.12 109.16 109.19 109.22
## 0 1 1 1 1 2 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 109.23 109.27 109.3 109.32 109.33 109.39 109.4 109.46 109.47 109.51
## 0 1 1 1 1 1 1 1 1 0 4
## 1 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 109.52 109.56 109.59 109.65 109.68 109.69 109.73 109.78 109.81 109.82
## 0 1 3 1 1 1 1 1 0 1 1
## 1 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 109.85 109.88 109.97 110.07 110.1 110.14 110.15 110.16 110.17 110.18
## 0 1 1 1 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 110.2 110.23 110.25 110.28 110.32 110.33 110.36 110.38 110.41 110.42
## 0 1 1 1 1 1 2 1 3 2 2
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 110.47 110.52 110.53 110.55 110.6 110.63 110.66 110.68 110.69 110.7
## 0 1 0 1 1 1 1 0 2 1 1
## 1 0 1 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 110.72 110.73 110.76 110.78 110.84 110.85 110.87 110.89 110.91 110.92
## 0 1 1 1 1 1 0 1 1 1 1
## 1 0 0 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 110.96 110.97 110.99 111.02 111.04 111.08 111.1 111.13 111.15 111.19
## 0 1 1 1 2 1 2 2 1 2 1
## 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 111.21 111.22 111.24 111.27 111.32 111.33 111.36 111.37 111.38 111.41
## 0 1 1 1 2 1 2 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 111.43 111.47 111.48 111.61 111.64 111.65 111.68 111.71 111.73 111.76
## 0 1 1 3 1 2 2 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 111.77 111.78 111.79 111.81 111.84 111.85 111.92 111.93 111.94 111.96
## 0 1 1 1 2 1 1 1 1 2 1
## 1 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 111.98 111.99 112.02 112.06 112.07 112.08 112.09 112.11 112.12 112.16
## 0 0 1 2 1 1 2 2 1 1 1
## 1 1 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 112.17 112.19 112.2 112.22 112.23 112.24 112.25 112.29 112.3 112.31
## 0 1 3 1 1 1 0 1 1 1 1
## 1 0 0 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 112.33 112.34 112.35 112.37 112.38 112.39 112.41 112.43 112.44 112.46
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 112.47 112.54 112.55 112.62 112.64 112.66 112.69 112.7 112.72 112.75
## 0 1 2 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 112.77 112.79 112.83 112.92 112.94 112.95 112.96 112.98 113.01 113.05
## 0 1 1 1 1 1 1 2 2 1 1
## 1 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 113.08 113.1 113.11 113.2 113.21 113.24 113.25 113.26 113.28 113.34
## 0 1 1 1 1 2 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 113.4 113.41 113.45 113.47 113.57 113.63 113.64 113.65 113.68 113.74
## 0 2 1 1 1 1 2 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 113.8 113.84 113.85 113.86 113.87 113.95 113.96 114.01 114.02 114.05
## 0 1 1 2 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 114.09 114.16 114.18 114.21 114.25 114.32 114.33 114.34 114.37 114.41
## 0 2 2 1 1 1 4 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 114.45 114.46 114.47 114.5 114.53 114.54 114.61 114.71 114.76 114.77
## 0 1 1 1 1 1 2 1 2 1 0
## 1 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 114.79 114.82 114.84 114.88 114.89 114.92 114.94 114.99 115.03 115.07
## 0 1 1 1 2 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 115.12 115.13 115.16 115.21 115.22 115.23 115.29 115.4 115.42 115.43
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 115.46 115.47 115.52 115.54 115.68 115.69 115.71 115.79 115.83 115.86
## 0 1 2 2 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 115.91 115.92 115.93 115.98 115.99 116.02 116.04 116.06 116.1 116.12
## 0 1 1 1 2 1 1 2 1 0 1
## 1 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 116.14 116.2 116.21 116.23 116.25 116.38 116.44 116.49 116.5 116.55
## 0 1 2 1 1 1 1 1 1 1 0
## 1 0 0 0 0 0 0 1 0 0 1
## avg_glucose_level
## stroke 116.6 116.62 116.64 116.66 116.67 116.68 116.69 116.76 116.78 116.84
## 0 1 1 1 1 1 1 0 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 116.85 116.93 116.95 116.98 117.03 117.04 117.31 117.34 117.45 117.59
## 0 1 1 1 2 2 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 117.63 117.69 117.75 117.77 117.92 117.98 118.03 118.14 118.21 118.22
## 0 2 1 1 1 1 1 0 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 118.41 118.44 118.46 118.51 118.55 118.61 118.62 118.66 118.69 118.7
## 0 1 1 1 1 3 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 118.75 118.81 118.82 118.85 118.87 118.88 118.89 118.93 119.01 119.03
## 0 1 2 2 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 119.04 119.13 119.3 119.32 119.34 119.4 119.52 119.58 119.61 119.62
## 0 1 1 1 1 1 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 119.67 119.77 119.88 119.9 119.96 120.03 120.05 120.06 120.07 120.09
## 0 1 1 1 2 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 120.15 120.22 120.23 120.25 120.27 120.31 120.43 120.44 120.46 120.56
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 120.58 120.77 120.85 120.94 120.96 121.04 121.11 121.14 121.15 121.17
## 0 2 2 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 121.19 121.27 121.32 121.39 121.43 121.44 121.46 121.6 121.66 121.71
## 0 1 1 1 1 1 1 1 1 2 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 121.8 121.83 121.99 122.01 122.04 122.1 122.19 122.22 122.23 122.25
## 0 1 1 1 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 122.26 122.31 122.32 122.38 122.39 122.41 122.43 122.46 122.48 122.5
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 122.73 122.74 122.75 122.83 122.91 123 123.04 123.08 123.1 123.15 123.21
## 0 1 1 1 1 1 1 2 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 123.23 123.36 123.39 123.47 123.49 123.61 123.65 123.66 123.79 123.81
## 0 1 1 1 1 2 1 1 2 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 123.83 123.87 123.89 123.94 123.95 123.98 124.01 124.06 124.08 124.13
## 0 1 2 1 1 1 1 1 1 1 0
## 1 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 124.16 124.26 124.31 124.34 124.35 124.37 124.38 124.39 124.45 124.48
## 0 2 1 1 1 1 2 2 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 124.49 124.5 124.54 124.6 124.61 124.64 124.66 124.78 124.92 125.03
## 0 1 2 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 125.09 125.11 125.14 125.2 125.26 125.29 125.3 125.32 125.33 125.38
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 125.43 125.63 125.68 125.74 125.87 125.89 125.98 126.04 126.09 126.12
## 0 1 1 1 1 1 2 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 126.18 126.32 126.34 126.35 126.39 126.57 126.67 126.68 126.82 126.85
## 0 1 1 2 2 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 126.96 126.99 127.13 127.18 127.2 127.21 127.23 127.25 127.28 127.29
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 127.32 127.4 127.42 127.57 127.71 127.75 127.78 128.04 128.17 128.23
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 128.28 128.61 128.63 128.72 128.97 129.01 129.07 129.16 129.19 129.31
## 0 1 1 2 2 1 2 1 3 1 2
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 129.43 129.53 129.54 129.66 129.73 129.97 129.98 130 130.07 130.15
## 0 2 1 1 1 1 1 0 1 2 1
## 1 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 130.34 130.37 130.54 130.56 130.61 131.05 131.19 131.23 131.28 131.3
## 0 1 1 0 1 1 1 1 1 1 1
## 1 0 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 131.4 131.41 131.42 131.43 131.51 131.63 131.77 131.8 131.81 131.85
## 0 1 0 1 2 1 1 1 1 1 1
## 1 0 1 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 131.89 131.99 132.08 132.41 132.46 132.85 132.88 133.13 133.19 133.2
## 0 1 1 1 1 1 1 1 1 0 1
## 1 0 0 0 0 0 0 0 0 1 0
## avg_glucose_level
## stroke 133.24 133.58 133.62 133.63 133.76 133.82 134.12 134.23 134.24 134.29
## 0 2 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 134.33 134.39 134.45 134.59 134.61 134.65 134.76 134.8 135.19 135.32
## 0 1 1 1 1 1 1 1 1 2 1
## 1 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 135.63 135.64 135.74 135.75 135.79 135.82 135.84 135.89 136.1 136.18
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 136.2 136.23 136.8 136.81 136.96 137.22 137.27 137.3 137.45 137.74
## 0 1 1 1 1 1 1 1 0 1 1
## 1 0 0 0 0 0 0 0 1 0 0
## avg_glucose_level
## stroke 137.77 137.91 137.94 137.96 138.02 138.06 138.07 138.16 138.29 138.44
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 138.47 138.51 138.55 139.2 139.43 139.48 139.67 139.72 139.77 139.81
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 139.87 139.9 140.07 140.08 140.1 140.14 140.28 140.39 140.4 140.52
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 140.93 140.96 141.09 141.15 141.16 141.23 141.24 141.37 141.8 141.84
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 142.02 142.12 142.31 142.38 142.57 142.63 142.64 142.68 142.82 143.15
## 0 1 2 2 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 143.33 143.43 143.45 143.47 143.97 144.08 144.1 144.14 144.15 144.16
## 0 1 0 2 1 1 1 2 1 1 1
## 1 0 1 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 144.2 144.23 144.33 144.48 144.9 145.03 145.15 145.18 145.22 145.23
## 0 1 1 1 1 0 1 1 1 1 1
## 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 145.25 145.26 145.37 145.46 145.5 145.71 145.94 146.01 146.08 146.1
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 146.21 146.44 146.59 146.61 146.97 147.04 147.12 147.14 147.42 147.48
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 147.5 147.74 148.24 148.37 148.52 148.72 148.91 149.13 149.15 149.17
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 149.42 149.62 149.68 149.75 149.8 149.9 149.95 150 150.03 150.1 150.27
## 0 1 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 150.45 150.74 151.16 151.23 151.25 151.26 151.3 151.33 151.56 152.02
## 0 1 1 0 1 2 1 1 1 1 1
## 1 0 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 152.38 152.56 152.81 152.84 152.87 153.08 153.24 153.31 153.34 153.38
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 153.48 153.6 153.76 154.03 154.08 154.6 154.67 154.75 155.14 155.17
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 155.23 155.32 155.43 155.86 156.18 156.43 156.45 156.57 156.69 156.7
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 156.82 157.01 157.57 157.67 157.77 158.31 158.33 158.48 158.89 158.9
## 0 1 2 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 158.93 159.39 159.67 159.7 159.79 160 160.64 160.76 160.83 160.87 160.94
## 0 1 2 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 161 161.28 161.57 161.95 162.14 162.23 162.24 162.3 162.72 162.93 162.96
## 0 1 1 1 1 0 0 1 1 1 1 1
## 1 0 0 0 0 1 1 0 0 0 0 0
## avg_glucose_level
## stroke 163.02 163.17 163.56 163.7 163.82 164.67 164.7 164.77 165.11 165.31
## 0 1 1 1 1 1 1 1 1 1 0
## 1 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 165.36 165.47 165.99 166.29 166.38 167.13 167.16 167.31 167.41 167.59
## 0 1 1 1 1 1 0 1 1 0 1
## 1 0 0 0 0 0 1 0 0 1 0
## avg_glucose_level
## stroke 167.66 168.06 168.15 168.68 169.43 169.49 169.67 169.74 169.97 170.05
## 0 1 1 2 1 1 1 0 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 170.22 170.76 170.88 170.93 170.95 171.23 172.27 172.33 172.86 173.14
## 0 1 1 1 1 1 0 1 1 1 1
## 1 0 0 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 173.43 173.9 173.96 173.97 174.12 174.37 174.43 174.54 175.29 175.74
## 0 1 1 1 1 0 1 1 1 0 1
## 1 0 0 0 0 1 0 0 0 1 0
## avg_glucose_level
## stroke 175.92 176.25 176.34 176.38 176.42 176.48 176.71 176.78 177.56 177.91
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 178.29 178.33 178.76 178.89 179.12 179.14 179.38 179.67 180.45 180.63
## 0 1 1 1 1 0 1 1 1 1 1
## 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 180.76 180.8 180.93 181.23 181.3 182.2 182.22 182.52 182.86 182.9 182.99
## 0 1 1 0 2 1 1 1 1 1 1 0
## 1 0 0 1 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 183 183.1 183.34 183.43 183.45 183.87 184.15 184.25 184.4 185 185.17
## 0 1 1 1 1 1 1 1 1 0 1 0
## 1 0 0 0 0 0 0 0 0 1 0 1
## avg_glucose_level
## stroke 185.27 185.28 185.31 185.49 185.71 186.17 186.21 186.32 186.4 186.45
## 0 1 1 1 0 1 1 0 1 1 1
## 1 0 0 0 1 0 0 1 0 0 0
## avg_glucose_level
## stroke 186.54 186.95 187.22 187.47 187.52 187.87 187.88 187.99 188.11 188.13
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 188.69 189.44 189.45 189.49 189.57 189.82 189.84 189.88 190.13 190.14
## 0 1 1 1 1 1 1 0 1 1 0
## 1 0 0 0 0 0 0 1 0 0 1
## avg_glucose_level
## stroke 190.32 190.4 190.67 190.7 190.89 190.92 191.15 191.33 191.47 191.48
## 0 0 1 1 1 1 1 1 1 1 1
## 1 1 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 191.61 191.66 191.78 191.79 191.82 191.94 192.16 192.37 192.39 192.47
## 0 0 1 1 1 0 1 1 1 1 1
## 1 1 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 192.5 193.22 193.45 193.61 193.8 193.81 193.83 193.87 193.88 193.94
## 0 1 1 1 1 1 1 1 1 1 0
## 1 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 194.04 194.37 194.53 194.62 194.75 194.98 194.99 195.03 195.04 195.16
## 0 1 0 2 1 1 1 0 1 1 1
## 1 0 1 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 195.23 195.25 195.43 195.61 195.71 195.74 196.01 196.08 196.2 196.25
## 0 0 1 1 1 0 1 1 1 1 1
## 1 1 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 196.26 196.33 196.36 196.5 196.58 196.61 196.71 196.81 196.91 196.92
## 0 1 1 1 1 1 1 0 1 1 0
## 1 0 0 0 0 0 0 1 0 0 1
## avg_glucose_level
## stroke 197.06 197.09 197.1 197.11 197.28 197.36 197.54 197.58 197.69 197.79
## 0 1 1 1 1 0 1 0 1 1 1
## 1 0 0 0 0 1 0 1 0 0 0
## avg_glucose_level
## stroke 198.02 198.12 198.21 198.24 198.3 198.32 198.33 198.36 198.69 198.79
## 0 1 1 1 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 198.84 199.14 199.18 199.2 199.38 199.42 199.78 199.83 199.84 199.86
## 0 1 1 1 0 1 1 1 1 0 0
## 1 0 0 0 1 0 0 0 0 1 1
## avg_glucose_level
## stroke 199.88 199.96 200.14 200.16 200.25 200.28 200.46 200.49 200.59 200.62
## 0 1 1 1 1 1 2 1 1 0 0
## 1 0 0 0 0 0 0 0 0 1 1
## avg_glucose_level
## stroke 200.66 200.68 200.73 200.8 200.91 200.98 201.01 201.07 201.25 201.38
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 201.45 201.58 201.76 201.96 202.05 202.06 202.21 202.38 202.51 202.55
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 202.57 202.66 202.67 202.98 203.01 203.04 203.16 203.27 203.36 203.44
## 0 1 2 1 1 1 2 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 203.57 203.76 203.81 203.87 204.05 204.17 204.5 204.57 204.63 204.77
## 0 1 1 2 1 1 1 1 1 1 1
## 1 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 204.86 204.92 204.98 205 205.01 205.23 205.26 205.33 205.35 205.5 205.77
## 0 1 1 1 1 1 2 1 0 0 1 1
## 1 0 0 0 0 0 0 0 1 1 0 1
## avg_glucose_level
## stroke 205.78 205.84 205.97 206.09 206.15 206.25 206.33 206.4 206.49 206.52
## 0 1 1 1 0 1 2 1 1 1 1
## 1 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 206.53 206.59 206.62 206.66 206.72 206.98 207.28 207.32 207.37 207.45
## 0 2 1 1 1 1 1 0 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 207.58 207.6 207.62 207.64 207.71 207.79 207.84 207.95 207.96 208.05
## 0 1 1 1 1 1 1 1 1 1 2
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 208.06 208.17 208.2 208.3 208.31 208.39 208.65 208.69 208.78 208.85
## 0 1 1 1 0 1 1 0 1 1 1
## 1 0 0 0 1 0 0 1 0 0 0
## avg_glucose_level
## stroke 208.99 209.06 209.15 209.26 209.5 209.58 209.86 209.9 210 210.23 210.4
## 0 1 1 1 1 2 1 0 1 2 1 0
## 1 0 0 0 0 0 0 1 0 0 0 1
## avg_glucose_level
## stroke 210.48 210.78 210.94 210.95 210.96 211.03 211.06 211.12 211.35 211.49
## 0 1 1 1 1 1 1 0 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 211.58 211.78 211.83 211.88 212.01 212.02 212.08 212.19 212.62 212.87
## 0 1 0 1 1 1 1 0 1 1 1
## 1 0 1 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 212.92 212.97 213.03 213.11 213.22 213.33 213.37 213.38 213.43 213.54
## 0 1 1 0 1 0 1 1 1 1 1
## 1 0 0 1 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 213.8 213.87 213.92 214.05 214.09 214.42 214.43 214.45 214.51 214.73
## 0 1 1 1 1 0 1 1 1 1 1
## 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 214.77 215.07 215.33 215.6 215.64 215.69 215.72 215.81 215.9 215.92
## 0 2 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 215.94 216 216.07 216.19 216.38 216.4 216.58 216.64 216.7 216.71 216.88
## 0 0 1 1 1 1 1 0 1 1 1 2
## 1 1 0 0 0 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 216.9 216.92 216.94 216.96 217 217.08 217.11 217.3 217.39 217.4 217.55
## 0 1 1 0 1 1 0 1 1 1 1 1
## 1 0 0 1 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 217.57 217.66 217.71 217.74 217.75 217.79 217.84 217.94 218 218.1 218.46
## 0 1 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 218.54 218.6 218.65 219.17 219.38 219.39 219.5 219.53 219.67 219.7
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 219.72 219.73 219.8 219.81 219.82 219.84 219.91 219.92 219.96 219.97
## 0 0 0 1 1 1 0 0 1 1 1
## 1 1 1 0 0 0 1 1 0 0 0
## avg_glucose_level
## stroke 220.24 220.26 220.36 220.47 220.49 220.52 220.64 221.06 221.08 221.24
## 0 1 1 1 2 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 221.29 221.43 221.58 221.79 221.8 221.83 221.89 222.21 222.29 222.46
## 0 0 1 0 0 1 1 0 1 2 1
## 1 1 0 1 1 0 0 1 0 0 0
## avg_glucose_level
## stroke 222.52 222.58 222.6 222.66 222.85 223.14 223.16 223.26 223.35 223.36
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 223.58 223.64 223.68 223.78 223.83 223.9 224.1 224.63 224.71 225.35
## 0 1 1 1 1 0 1 0 1 1 1
## 1 0 0 0 0 1 0 1 0 0 0
## avg_glucose_level
## stroke 225.47 225.6 226.11 226.28 226.38 226.7 226.73 226.75 226.84 226.88
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 226.93 226.98 227.04 227.1 227.16 227.23 227.28 227.51 227.68 227.74
## 0 1 0 1 1 1 1 1 1 1 1
## 1 0 1 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 227.81 227.89 227.91 227.94 227.96 227.98 228.05 228.08 228.2 228.26
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 228.42 228.5 228.56 228.69 228.7 228.92 229.2 229.21 229.58 229.73
## 0 1 1 0 0 1 1 1 1 1 1
## 1 0 0 1 1 1 0 0 0 0 0
## avg_glucose_level
## stroke 229.86 229.92 229.94 230.59 230.68 230.74 230.78 231.15 231.19 231.31
## 0 1 1 1 1 1 1 1 1 1 1
## 1 0 0 0 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 231.43 231.5 231.54 231.56 231.61 231.69 231.71 231.72 231.76 231.95
## 0 1 1 1 0 0 1 1 1 1 1
## 1 0 0 0 1 1 0 0 0 0 0
## avg_glucose_level
## stroke 232.12 232.29 232.64 232.78 232.81 232.89 233.29 233.3 233.47 233.52
## 0 1 1 1 1 1 1 0 1 1 1
## 1 0 0 0 0 0 0 1 0 0 0
## avg_glucose_level
## stroke 233.59 233.71 233.94 234.06 234.27 234.35 234.45 234.5 234.51 234.58
## 0 1 1 0 1 1 1 1 1 1 1
## 1 0 0 1 0 0 0 0 0 0 0
## avg_glucose_level
## stroke 234.82 235.06 235.45 235.54 235.63 235.85 236.04 236.14 236.79 236.84
## 0 1 1 1 1 0 1 1 1 1 1
## 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 237.15 237.17 237.21 237.58 237.74 237.75 238.27 238.53 238.78 239.07
## 0 1 1 1 1 1 0 1 1 1 0
## 1 0 0 0 0 0 1 0 0 0 1
## avg_glucose_level
## stroke 239.19 239.21 239.28 239.52 239.64 239.82 239.95 240.09 240.59 240.69
## 0 1 1 1 1 1 1 1 0 0 1
## 1 0 0 0 0 0 0 0 1 1 0
## avg_glucose_level
## stroke 240.71 240.81 240.86 242.3 242.52 242.62 242.84 242.94 243.5 243.52
## 0 1 1 1 1 0 1 1 1 1 1
## 1 0 0 0 0 1 0 0 0 0 0
## avg_glucose_level
## stroke 243.53 243.58 243.59 243.73 244.28 244.3 246.34 246.53 247.48 247.51
## 0 1 0 1 1 1 1 1 1 1 0
## 1 0 1 0 0 0 0 0 0 0 1
## avg_glucose_level
## stroke 247.69 247.87 247.97 248.24 248.37 249.29 249.31 250.2 250.8 250.89
## 0 1 1 1 1 1 1 0 1 1 0
## 1 0 0 0 0 0 0 1 0 0 1
## avg_glucose_level
## stroke 251.46 251.6 251.99 252.72 253.16 253.86 253.93 254.6 254.63 254.95
## 0 1 1 1 0 1 1 1 1 1 1
## 1 0 0 0 1 0 0 0 0 0 0
## avg_glucose_level
## stroke 255.17 256.74 259.63 260.85 261.67 263.32 263.56 266.59 267.6 267.61
## 0 1 1 0 1 1 0 1 1 1 1
## 1 0 0 1 0 0 1 0 0 0 0
## avg_glucose_level
## stroke 267.76 271.74
## 0 1 0
## 1 0 1xtabs(~ stroke + smoking_status, data=data)## smoking_status
## stroke formerly smoked never smoked smokes Unknown
## 0 815 1802 747 1497
## 1 70 90 42 47EXPLANATION
From the table of frequencies it is shown that each of the variables are
all represented by a number of people or can be said as balanced.
Splitting data to train and validation sets
sample = floor(0.8*nrow(data))
set.seed(800)
rand = sample(seq_len(nrow(data)),size = sample)
train = data[rand,]
validation = data[-rand,]EXPLANATION
We split the training set to accomodate 80% of the data, while the
validation set accomodating 20%.
Logistic Regression
logistics <- glm(stroke ~ .,family = binomial(link = "logit"), data = train)
summary(logistics)##
## Call:
## glm(formula = stroke ~ ., family = binomial(link = "logit"),
## data = train)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -1.2073 -0.3160 -0.1643 -0.0839 3.7076
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -7.194e+00 1.074e+00 -6.698 2.11e-11 ***
## genderMale 7.850e-02 1.600e-01 0.491 0.623778
## genderOther -1.069e+01 1.455e+03 -0.007 0.994138
## age 7.273e-02 6.467e-03 11.247 < 2e-16 ***
## hypertension1 3.038e-01 1.873e-01 1.622 0.104765
## heart_disease1 4.191e-01 2.132e-01 1.966 0.049285 *
## ever_marriedYes -2.771e-01 2.516e-01 -1.101 0.270737
## work_typeGovt_job -4.941e-01 1.117e+00 -0.442 0.658252
## work_typeNever_worked -9.887e+00 3.331e+02 -0.030 0.976323
## work_typePrivate -3.066e-01 1.100e+00 -0.279 0.780484
## work_typeSelf-employed -6.255e-01 1.119e+00 -0.559 0.576222
## Residence_typeUrban -1.154e-02 1.557e-01 -0.074 0.940940
## avg_glucose_level 4.526e-03 1.339e-03 3.381 0.000723 ***
## bmi 3.933e-03 1.302e-02 0.302 0.762569
## smoking_statusnever smoked -2.382e-01 1.988e-01 -1.198 0.230817
## smoking_statussmokes 1.505e-01 2.378e-01 0.633 0.526857
## smoking_statusUnknown -1.945e-01 2.391e-01 -0.814 0.415873
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 1573.2 on 4087 degrees of freedom
## Residual deviance: 1246.2 on 4071 degrees of freedom
## AIC: 1280.2
##
## Number of Fisher Scoring iterations: 14EXPLANATION
From model 1, we can conduct:
1.) It can be seen that the predictor variable age have a p-value <
0.0001. This means that these variables are highly statistically
significant predictors in the model.
2.) From subtracting the residual deviance to null deviance, we get the
chi-square of 327 with df of 16, resulting with p-value of 0.0000. This
tells us that the model is highly useful.
3.) We move on with another model with age as a highly statistically
significant predictor variable.
logistics <- glm(stroke ~ age,family = binomial(link = "logit"), data = train)
summary(logistics)##
## Call:
## glm(formula = stroke ~ age, family = binomial(link = "logit"),
## data = train)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -0.7442 -0.3236 -0.1771 -0.0830 3.7760
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -7.226254 0.375767 -19.23 <2e-16 ***
## age 0.074193 0.005507 13.47 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 1573.2 on 4087 degrees of freedom
## Residual deviance: 1279.4 on 4086 degrees of freedom
## AIC: 1283.4
##
## Number of Fisher Scoring iterations: 7EXPLANATION
From model 2, we can conduct:
1.) The predictor variable age has a very high statistical significance
with stroke variable.
2.) With chi-square value of 293.8 with df of 1, we get p-value of
0.000000. This shows that the model is as useful as the first
model.
3.) The AIC shows slightly higher difference in value as compared to the
first model, but this doesn’t matter as it fits as the best model.
4.) We will proceed with building a model of this regression.
predicted.data <- data.frame(prob = data$stroke, age = data$age, fit = predict(logistics,data))
predicted.data$fit_prob <- 1+ exp(predicted.data$fit+1.4)/(1+exp(predicted.data$fit))
ggplot(data=predicted.data, aes(x=age,y=prob))+
geom_point(aes(color=age),alpha=1,shape=1,stroke=2)+
geom_line(aes(x=age,y=fit_prob))
EXPLANATION
1.) Most of the people with stroke cumulates between the age 40 - 80.
2,) People without stroke ranges from age 0 - 80. 3.) The prediction
curve predicts people without stroke having low probability of getting a
stroke. 4.) The prediction curve tends to have many residuals when
predicting people with stroke of having a high probability of getting a
stroke.
Evaluation
prob <- predict(logistics, newdata=subset(validation, select = c(1,2,3,4,5,6,7,8,9,10)), type="response")
prdt <- prediction(prob, validation$stroke)
rocCurve <- performance(prdt, measure = "tpr", x.measure = "fpr")
plot(rocCurve)
EXPLANATION
The ROC Curve line curves closer to the top-left. This indicates that
the model does a good job classifying between the two categories which
comprise to the target variable ‘stroke’. This also means the model’s
performance is good and accurate. Therefore, we can proceed to the next
steps.
auc <- performance(prdt, measure = "auc")
auc <- auc@y.values[[1]]
auc## [1] 0.8346574EXPLANATION
The Area Under the Curve value is > 0.8, thus indicating a good
performance model.
Accuracy testing
result <- ifelse(prob > 0.5, 1, 0)
mError <- mean(result != validation$stroke)
print(paste("Accuracy : ", 1-mError))## [1] "Accuracy : 0.948140900195695"EXPLANATION
The accuracy of the model is high with a value 0.94 closing to 1.
Decision Tree Model
DecisionTree <- rpart(stroke ~. , data = train, method="class", cp = 0.004)
DecisionTree## n= 4088
##
## node), split, n, loss, yval, (yprob)
## * denotes terminal node
##
## 1) root 4088 196 0 (0.95205479 0.04794521)
## 2) age< 67.5 3391 78 0 (0.97699794 0.02300206) *
## 3) age>=67.5 697 118 0 (0.83070301 0.16929699)
## 6) avg_glucose_level< 162.045 504 70 0 (0.86111111 0.13888889)
## 12) age< 73.5 169 13 0 (0.92307692 0.07692308) *
## 13) age>=73.5 335 57 0 (0.82985075 0.17014925)
## 26) bmi>=34.15 31 1 0 (0.96774194 0.03225806) *
## 27) bmi< 34.15 304 56 0 (0.81578947 0.18421053)
## 54) bmi< 28.84662 187 28 0 (0.85026738 0.14973262) *
## 55) bmi>=28.84662 117 28 0 (0.76068376 0.23931624)
## 110) bmi>=28.89662 93 15 0 (0.83870968 0.16129032) *
## 111) bmi< 28.89662 24 11 1 (0.45833333 0.54166667)
## 222) smoking_status=never smoked,smokes 10 3 0 (0.70000000 0.30000000) *
## 223) smoking_status=formerly smoked,Unknown 14 4 1 (0.28571429 0.71428571) *
## 7) avg_glucose_level>=162.045 193 48 0 (0.75129534 0.24870466)
## 14) bmi< 25.75 28 1 0 (0.96428571 0.03571429) *
## 15) bmi>=25.75 165 47 0 (0.71515152 0.28484848)
## 30) work_type=Self-employed 59 11 0 (0.81355932 0.18644068)
## 60) bmi>=27.05 52 7 0 (0.86538462 0.13461538) *
## 61) bmi< 27.05 7 3 1 (0.42857143 0.57142857) *
## 31) work_type=Govt_job,Private 106 36 0 (0.66037736 0.33962264)
## 62) avg_glucose_level< 238.67 91 27 0 (0.70329670 0.29670330) *
## 63) avg_glucose_level>=238.67 15 6 1 (0.40000000 0.60000000) *EXPLANATION
1.) The decision tree model consists 4088 records.
2.) The decision tree comprise of 23 nodes.
3.) The decision tree has 12 terminal nodes.
rpart.plot(DecisionTree,cex=0.7)
EXPLANATION
1.) If the age < 68, then the chance of not getting a stroke is
2%
2.) If the age is >= 68, average glucose level < 162, with age
< 74, then the chance of not getting a stroke is 8%
3.) If the age is >= 68, average glucose level < 162, with age
>= 74, bmi >= 34, then the chance of not getting a stroke is
3%
4.) If the age is >= 68, average glucose level < 162, with age
>= 74, bmi < 34, bmi < 29, then the chance of not getting a
stroke is 15%
5.) If the age is >= 68, average glucose level < 162, with age
>= 74, bmi < 34, bmi >= 29, then the chance of not getting a
stroke is 16%
6.) If the age is >= 68, average glucose level < 162, with age
>= 74, bmi < 34, bmi >= 29, bmi < 29, smoking status = never
smoked, then the chance of not getting a stroke is 30%
7.) If the age is >= 68, average glucose level < 162, with age
>= 74, bmi < 34, bmi >= 29, bmi < 29, smoking status =
smokes, then the chance of getting a stroke is 71%
8.) If the age is >= 68, average glucose level >= 162, bmi <
26, then the chance of not getting a stroke is 4%
9.) If the age is >= 68, average glucose level >= 162, bmi >=
26, work type = self employed, bmi >= 27, then the chance of not
getting a stroke is 13%
10.) If the age is >= 68, average glucose level >= 162, bmi >=
26, work type = self employed, bmi < 27, then the chance of getting a
stroke is 57%
11.) If the age is >= 68, average glucose level >= 162, bmi >=
26, work type != self employed, with average glucose level < 239,
then the chance of not getting a stroke is 30%
12.) If the age is >= 68, average glucose level >= 162, bmi >=
26, work type != self employed, with average glucose level >= 239,
then the chance of getting a stroke is 60%
predictionDT <- predict(DecisionTree, validation, type = "class")EXPLANATION
We make predictions of the decision tree model using the testing
set.
Confusion Matrix
cfm <- table(predictionDT, validation$stroke)
cfm##
## predictionDT 0 1
## 0 967 50
## 1 2 3EXPLANATION
1.) The true positive rate is 3/3+50 = 0.057
2.) The true negative rate is 967/967+2 = 0.997
3.) The false negative rate is 2/2+967 = 0.002
4.) The false positive rate is 50/50+3 = 0.943
#overall accuracy
sum(diag(cfm))/sum(cfm)## [1] 0.9491194#error rate
1 - sum(diag(cfm))/sum(cfm)## [1] 0.05088063EXPLANATION
1.) The overall accuracy of the prediction is very high with 95%
accuracy.
2.) The error rate of the prediction corresponds to low percentage of
5%.
require(MASS)## Loading required package: MASS##
## Attaching package: 'MASS'## The following object is masked from 'package:dplyr':
##
## selectexp(coef(logistics))## (Intercept) age
## 0.0007272399 1.0770144725Summary
Overall, this logistic regression model fits as the best prediction model with the confusion matrix testing, accuracy testing showing overall satisfying results, decision tree model analysis, training and testing sets, ROC and AUC curve testing giving good results. Hence, it can be said that age plays a big role corresponding to stroke where each unit in increase of age, increases the likelihood of a person to have stroke by 1.077. It can be seen from the data also, that a person of age > 40 (threshold) are more likely to have a stroke.