Import Library

library(readr)
## Warning: package 'readr' was built under R version 4.4.3
library(tidymodels)
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## ✔ ggplot2      3.5.2     ✔ tidyr        1.3.1
## ✔ infer        1.0.8     ✔ tune         1.3.0
## ✔ modeldata    1.4.0     ✔ workflows    1.2.0
## ✔ parsnip      1.3.1     ✔ workflowsets 1.1.0
## ✔ purrr        1.0.4     ✔ yardstick    1.3.2
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Load Dataset

stress_df <- read.csv("C:\\Users\\THINKPAD\\OneDrive\\Documents\\StressLevelDataset.csv")
head(stress_df)
##   anxiety_level self_esteem mental_health_history depression headache
## 1            14          20                     0         11        2
## 2            15           8                     1         15        5
## 3            12          18                     1         14        2
## 4            16          12                     1         15        4
## 5            16          28                     0          7        2
## 6            20          13                     1         21        3
##   blood_pressure sleep_quality breathing_problem noise_level living_conditions
## 1              1             2                 4           2                 3
## 2              3             1                 4           3                 1
## 3              1             2                 2           2                 2
## 4              3             1                 3           4                 2
## 5              3             5                 1           3                 2
## 6              3             1                 4           3                 2
##   safety basic_needs academic_performance study_load
## 1      3           2                    3          2
## 2      2           2                    1          4
## 3      3           2                    2          3
## 4      2           2                    2          4
## 5      4           3                    4          3
## 6      2           1                    2          5
##   teacher_student_relationship future_career_concerns social_support
## 1                            3                      3              2
## 2                            1                      5              1
## 3                            3                      2              2
## 4                            1                      4              1
## 5                            1                      2              1
## 6                            2                      5              1
##   peer_pressure extracurricular_activities bullying stress_level
## 1             3                          3        2            1
## 2             4                          5        5            2
## 3             3                          2        2            1
## 4             4                          4        5            2
## 5             5                          0        5            1
## 6             4                          4        5            2
# Check the dataset
str(stress_df)
## 'data.frame':    1100 obs. of  21 variables:
##  $ anxiety_level               : int  14 15 12 16 16 20 4 17 13 6 ...
##  $ self_esteem                 : int  20 8 18 12 28 13 26 3 22 8 ...
##  $ mental_health_history       : int  0 1 1 1 0 1 0 1 1 0 ...
##  $ depression                  : int  11 15 14 15 7 21 6 22 12 27 ...
##  $ headache                    : int  2 5 2 4 2 3 1 4 3 4 ...
##  $ blood_pressure              : int  1 3 1 3 3 3 2 3 1 3 ...
##  $ sleep_quality               : int  2 1 2 1 5 1 4 1 2 1 ...
##  $ breathing_problem           : int  4 4 2 3 1 4 1 5 4 2 ...
##  $ noise_level                 : int  2 3 2 4 3 3 1 3 3 0 ...
##  $ living_conditions           : int  3 1 2 2 2 2 4 1 3 5 ...
##  $ safety                      : int  3 2 3 2 4 2 4 1 3 2 ...
##  $ basic_needs                 : int  2 2 2 2 3 1 4 1 3 2 ...
##  $ academic_performance        : int  3 1 2 2 4 2 5 1 3 2 ...
##  $ study_load                  : int  2 4 3 4 3 5 1 3 3 2 ...
##  $ teacher_student_relationship: int  3 1 3 1 1 2 4 2 2 1 ...
##  $ future_career_concerns      : int  3 5 2 4 2 5 1 4 3 5 ...
##  $ social_support              : int  2 1 2 1 1 1 3 1 3 1 ...
##  $ peer_pressure               : int  3 4 3 4 5 4 2 4 3 5 ...
##  $ extracurricular_activities  : int  3 5 2 4 0 4 2 4 2 3 ...
##  $ bullying                    : int  2 5 2 5 5 5 1 5 2 4 ...
##  $ stress_level                : int  1 2 1 2 1 2 0 2 1 1 ...
# Check the variabel target as factor 
stress_df$mental_health_history <- as.factor(stress_df$mental_health_history)
# Check distribution of target
table(stress_df$mental_health_history)
## 
##   0   1 
## 558 542
prop.table(table(stress_df$mental_health_history))
## 
##         0         1 
## 0.5072727 0.4927273
# Check correlation beatwean numeric variable and mental_health_history
numeric_vars <- sapply(stress_df, is.numeric)
correlation_with_target <- sapply(stress_df[, numeric_vars], function(x) cor(x, as.numeric(stress_df$mental_health_history)))
print("Korelasi variabel dengan mental_health_history:")
## [1] "Korelasi variabel dengan mental_health_history:"
print(correlation_with_target)
##                anxiety_level                  self_esteem 
##                    0.6344496                   -0.6035019 
##                   depression                     headache 
##                    0.6158823                    0.6048258 
##               blood_pressure                sleep_quality 
##                    0.2956173                   -0.6141460 
##            breathing_problem                  noise_level 
##                    0.4643473                    0.5152899 
##            living_conditions                       safety 
##                   -0.5085252                   -0.5467313 
##                  basic_needs         academic_performance 
##                   -0.6011955                   -0.5861931 
##                   study_load teacher_student_relationship 
##                    0.5322665                   -0.5877277 
##       future_career_concerns               social_support 
##                    0.6259094                   -0.4825596 
##                peer_pressure   extracurricular_activities 
##                    0.5806019                    0.5545762 
##                     bullying                 stress_level 
##                    0.6243658                    0.6486440

Correlation Analysis

# split dataset for training (80%) and testing (20%)
set.seed(123)  # untuk reproduksibilitas
sample_indices <- sample(1:nrow(stress_df), size = 0.8 * nrow(stress_df))
train_data <- stress_df[sample_indices, ]
test_data <- stress_df[-sample_indices, ]

# Build formula for model
predictors <- names(stress_df)[!names(stress_df) %in% c("mental_health_history")]
formula_str <- paste("mental_health_history ~", paste(predictors, collapse = " + "))
formula_obj <- as.formula(formula_str)

# Model
model <- glm(formula_obj, data = train_data, family = binomial(link = "logit"))
# Summary model
summary_model <- summary(model)
print(summary_model)
## 
## Call:
## glm(formula = formula_obj, family = binomial(link = "logit"), 
##     data = train_data)
## 
## Coefficients:
##                                Estimate Std. Error z value Pr(>|z|)    
## (Intercept)                  -7.936e-01  1.217e+00  -0.652 0.514334    
## anxiety_level                 8.990e-02  2.676e-02   3.360 0.000781 ***
## self_esteem                  -5.366e-02  1.860e-02  -2.885 0.003916 ** 
## depression                    3.630e-02  2.150e-02   1.688 0.091367 .  
## headache                      2.024e-01  1.006e-01   2.012 0.044202 *  
## blood_pressure               -1.341e-01  2.170e-01  -0.618 0.536627    
## sleep_quality                -1.420e-01  9.541e-02  -1.488 0.136731    
## breathing_problem            -4.279e-05  8.223e-02  -0.001 0.999585    
## noise_level                  -4.665e-02  9.975e-02  -0.468 0.639987    
## living_conditions            -2.234e-01  1.013e-01  -2.205 0.027448 *  
## safety                       -1.435e-02  1.047e-01  -0.137 0.890945    
## basic_needs                  -2.615e-01  1.007e-01  -2.596 0.009434 ** 
## academic_performance         -2.054e-01  9.899e-02  -2.075 0.038007 *  
## study_load                    2.085e-01  9.669e-02   2.157 0.031021 *  
## teacher_student_relationship -9.743e-02  1.179e-01  -0.826 0.408701    
## future_career_concerns        1.411e-01  1.020e-01   1.383 0.166631    
## social_support                1.827e-01  1.984e-01   0.921 0.357113    
## peer_pressure                 1.043e-01  1.012e-01   1.030 0.302832    
## extracurricular_activities    1.012e-01  9.641e-02   1.050 0.293624    
## bullying                      2.660e-01  9.764e-02   2.724 0.006449 ** 
## stress_level                  1.020e-01  2.102e-01   0.485 0.627405    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 1219.9  on 879  degrees of freedom
## Residual deviance:  585.3  on 859  degrees of freedom
## AIC: 627.3
## 
## Number of Fisher Scoring iterations: 6
# Calculate odds ratio
coef_model <- coef(model)
print("Koefisien model:")
## [1] "Koefisien model:"
print(coef_model)
##                  (Intercept)                anxiety_level 
##                -7.935725e-01                 8.990430e-02 
##                  self_esteem                   depression 
##                -5.365732e-02                 3.629596e-02 
##                     headache               blood_pressure 
##                 2.024461e-01                -1.340905e-01 
##                sleep_quality            breathing_problem 
##                -1.419801e-01                -4.278639e-05 
##                  noise_level            living_conditions 
##                -4.665315e-02                -2.233891e-01 
##                       safety                  basic_needs 
##                -1.434971e-02                -2.614977e-01 
##         academic_performance                   study_load 
##                -2.053900e-01                 2.085473e-01 
## teacher_student_relationship       future_career_concerns 
##                -9.743420e-02                 1.411368e-01 
##               social_support                peer_pressure 
##                 1.827416e-01                 1.043161e-01 
##   extracurricular_activities                     bullying 
##                 1.012471e-01                 2.659731e-01 
##                 stress_level 
##                 1.020474e-01
odds_ratios <- exp(coef_model)
print("Odds Ratios:")
## [1] "Odds Ratios:"
print(odds_ratios)
##                  (Intercept)                anxiety_level 
##                    0.4522263                    1.0940696 
##                  self_esteem                   depression 
##                    0.9477568                    1.0369627 
##                     headache               blood_pressure 
##                    1.2243941                    0.8745109 
##                sleep_quality            breathing_problem 
##                    0.8676385                    0.9999572 
##                  noise_level            living_conditions 
##                    0.9544184                    0.7998036 
##                       safety                  basic_needs 
##                    0.9857528                    0.7698976 
##         academic_performance                   study_load 
##                    0.8143297                    1.2318872 
## teacher_student_relationship       future_career_concerns 
##                    0.9071620                    1.1515822 
##               social_support                peer_pressure 
##                    1.2005041                    1.1099512 
##   extracurricular_activities                     bullying 
##                    1.1065500                    1.3046999 
##                 stress_level 
##                    1.1074360

Assumsion Testing

# install.packages(c("car", "ResourceSelection", "brglm2"))

# Load paket
library(car)
## Warning: package 'car' was built under R version 4.4.3
## Loading required package: carData
## Warning: package 'carData' was built under R version 4.4.3
## 
## Attaching package: 'car'
## The following object is masked from 'package:purrr':
## 
##     some
## The following object is masked from 'package:dplyr':
## 
##     recode
library(ResourceSelection)
## Warning: package 'ResourceSelection' was built under R version 4.4.3
## ResourceSelection 0.3-6   2023-06-27
library(brglm2)
## Warning: package 'brglm2' was built under R version 4.4.3
vif(model)
##                anxiety_level                  self_esteem 
##                     1.219816                     1.455067 
##                   depression                     headache 
##                     1.330379                     1.244372 
##               blood_pressure                sleep_quality 
##                     4.107252                     1.257549 
##            breathing_problem                  noise_level 
##                     1.179343                     1.219822 
##            living_conditions                       safety 
##                     1.128459                     1.240825 
##                  basic_needs         academic_performance 
##                     1.193490                     1.133436 
##                   study_load teacher_student_relationship 
##                     1.108093                     1.309819 
##       future_career_concerns               social_support 
##                     1.251074                     4.219095 
##                peer_pressure   extracurricular_activities 
##                     1.224810                     1.173454 
##                     bullying                 stress_level 
##                     1.239090                     1.327823

Semua variabel VIF < 5, artinya tidak ada multikolinearitas serius

# Ambil semua prediktor numerik dari stress_df (kecuali target)
numeric_vars <- sapply(stress_df[predictors], is.numeric)
numeric_predictors <- names(numeric_vars[numeric_vars])

# Buat log-transformasi dari prediktor numerik
for (var in numeric_predictors) {
  stress_df[[paste0("log_", var)]] <- log(stress_df[[var]] + 1e-5)  # Hindari log(0)
}

# Buat interaksi x:log(x) untuk semua variabel numerik
interaction_terms <- paste0(numeric_predictors, ":", "log_", numeric_predictors)
all_terms <- c(predictors, interaction_terms)

# Buat formula baru
formula_bt_str <- paste("mental_health_history ~", paste(all_terms, collapse = " + "))
formula_bt <- as.formula(formula_bt_str)

# Fit model dengan interaksi
model_bt <- glm(formula_bt, data = stress_df, family = "binomial")
summary(model_bt)
## 
## Call:
## glm(formula = formula_bt, family = "binomial", data = stress_df)
## 
## Coefficients:
##                                                                 Estimate
## (Intercept)                                                     99.23480
## anxiety_level                                                    0.32181
## self_esteem                                                     -0.35019
## depression                                                       0.38054
## headache                                                         0.87399
## blood_pressure                                                 -99.81120
## sleep_quality                                                    0.53040
## breathing_problem                                               -0.32072
## noise_level                                                     -0.16411
## living_conditions                                               -0.34717
## safety                                                           0.67977
## basic_needs                                                     -0.51780
## academic_performance                                             0.56554
## study_load                                                      -0.13343
## teacher_student_relationship                                     0.23313
## future_career_concerns                                          -0.55032
## social_support                                                   0.04195
## peer_pressure                                                    0.56352
## extracurricular_activities                                      -0.66969
## bullying                                                        -0.61500
## stress_level                                                    -1.06065
## anxiety_level:log_anxiety_level                                 -0.07527
## self_esteem:log_self_esteem                                      0.08577
## depression:log_depression                                       -0.10324
## headache:log_headache                                           -0.38555
## blood_pressure:log_blood_pressure                               60.39879
## sleep_quality:log_sleep_quality                                 -0.36937
## breathing_problem:log_breathing_problem                          0.17017
## noise_level:log_noise_level                                      0.07905
## living_conditions:log_living_conditions                          0.10193
## safety:log_safety                                               -0.40229
## basic_needs:log_basic_needs                                      0.16112
## academic_performance:log_academic_performance                   -0.40489
## study_load:log_study_load                                        0.18497
## teacher_student_relationship:log_teacher_student_relationship   -0.21795
## future_career_concerns:log_future_career_concerns                0.36547
## social_support:log_social_support                                0.09618
## peer_pressure:log_peer_pressure                                 -0.24632
## extracurricular_activities:log_extracurricular_activities        0.39436
## bullying:log_bullying                                            0.47866
## stress_level:log_stress_level                                    1.57345
##                                                               Std. Error
## (Intercept)                                                   3796.83074
## anxiety_level                                                    0.26955
## self_esteem                                                      0.17214
## depression                                                       0.20705
## headache                                                         0.43042
## blood_pressure                                                3796.85312
## sleep_quality                                                    0.43206
## breathing_problem                                                0.34999
## noise_level                                                      0.40634
## living_conditions                                                0.43960
## safety                                                           0.41141
## basic_needs                                                      0.39748
## academic_performance                                             0.43779
## study_load                                                       0.42464
## teacher_student_relationship                                     0.40226
## future_career_concerns                                           0.41071
## social_support                                                   0.36508
## peer_pressure                                                    0.40601
## extracurricular_activities                                       0.42487
## bullying                                                         0.39250
## stress_level                                                     0.44916
## anxiety_level:log_anxiety_level                                  0.08157
## self_esteem:log_self_esteem                                      0.04678
## depression:log_depression                                        0.05927
## headache:log_headache                                            0.23853
## blood_pressure:log_blood_pressure                             2304.02980
## sleep_quality:log_sleep_quality                                  0.24170
## breathing_problem:log_breathing_problem                          0.18811
## noise_level:log_noise_level                                      0.22904
## living_conditions:log_living_conditions                          0.24600
## safety:log_safety                                                0.23944
## basic_needs:log_basic_needs                                      0.22529
## academic_performance:log_academic_performance                    0.24275
## study_load:log_study_load                                        0.23544
## teacher_student_relationship:log_teacher_student_relationship    0.25047
## future_career_concerns:log_future_career_concerns                0.23003
## social_support:log_social_support                                0.22910
## peer_pressure:log_peer_pressure                                  0.22663
## extracurricular_activities:log_extracurricular_activities        0.23846
## bullying:log_bullying                                            0.22482
## stress_level:log_stress_level                                    0.57347
##                                                               z value Pr(>|z|)
## (Intercept)                                                     0.026  0.97915
## anxiety_level                                                   1.194  0.23253
## self_esteem                                                    -2.034  0.04191
## depression                                                      1.838  0.06607
## headache                                                        2.031  0.04230
## blood_pressure                                                 -0.026  0.97903
## sleep_quality                                                   1.228  0.21959
## breathing_problem                                              -0.916  0.35947
## noise_level                                                    -0.404  0.68630
## living_conditions                                              -0.790  0.42968
## safety                                                          1.652  0.09847
## basic_needs                                                    -1.303  0.19268
## academic_performance                                            1.292  0.19643
## study_load                                                     -0.314  0.75335
## teacher_student_relationship                                    0.580  0.56221
## future_career_concerns                                         -1.340  0.18027
## social_support                                                  0.115  0.90851
## peer_pressure                                                   1.388  0.16516
## extracurricular_activities                                     -1.576  0.11498
## bullying                                                       -1.567  0.11715
## stress_level                                                   -2.361  0.01820
## anxiety_level:log_anxiety_level                                -0.923  0.35615
## self_esteem:log_self_esteem                                     1.834  0.06672
## depression:log_depression                                      -1.742  0.08151
## headache:log_headache                                          -1.616  0.10602
## blood_pressure:log_blood_pressure                               0.026  0.97909
## sleep_quality:log_sleep_quality                                -1.528  0.12645
## breathing_problem:log_breathing_problem                         0.905  0.36567
## noise_level:log_noise_level                                     0.345  0.73000
## living_conditions:log_living_conditions                         0.414  0.67862
## safety:log_safety                                              -1.680  0.09294
## basic_needs:log_basic_needs                                     0.715  0.47450
## academic_performance:log_academic_performance                  -1.668  0.09533
## study_load:log_study_load                                       0.786  0.43207
## teacher_student_relationship:log_teacher_student_relationship  -0.870  0.38421
## future_career_concerns:log_future_career_concerns               1.589  0.11211
## social_support:log_social_support                               0.420  0.67461
## peer_pressure:log_peer_pressure                                -1.087  0.27708
## extracurricular_activities:log_extracurricular_activities       1.654  0.09816
## bullying:log_bullying                                           2.129  0.03325
## stress_level:log_stress_level                                   2.744  0.00607
##                                                                 
## (Intercept)                                                     
## anxiety_level                                                   
## self_esteem                                                   * 
## depression                                                    . 
## headache                                                      * 
## blood_pressure                                                  
## sleep_quality                                                   
## breathing_problem                                               
## noise_level                                                     
## living_conditions                                               
## safety                                                        . 
## basic_needs                                                     
## academic_performance                                            
## study_load                                                      
## teacher_student_relationship                                    
## future_career_concerns                                          
## social_support                                                  
## peer_pressure                                                   
## extracurricular_activities                                      
## bullying                                                        
## stress_level                                                  * 
## anxiety_level:log_anxiety_level                                 
## self_esteem:log_self_esteem                                   . 
## depression:log_depression                                     . 
## headache:log_headache                                           
## blood_pressure:log_blood_pressure                               
## sleep_quality:log_sleep_quality                                 
## breathing_problem:log_breathing_problem                         
## noise_level:log_noise_level                                     
## living_conditions:log_living_conditions                         
## safety:log_safety                                             . 
## basic_needs:log_basic_needs                                     
## academic_performance:log_academic_performance                 . 
## study_load:log_study_load                                       
## teacher_student_relationship:log_teacher_student_relationship   
## future_career_concerns:log_future_career_concerns               
## social_support:log_social_support                               
## peer_pressure:log_peer_pressure                                 
## extracurricular_activities:log_extracurricular_activities     . 
## bullying:log_bullying                                         * 
## stress_level:log_stress_level                                 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 1524.69  on 1099  degrees of freedom
## Residual deviance:  682.35  on 1059  degrees of freedom
## AIC: 764.35
## 
## Number of Fisher Scoring iterations: 18

Ada 2 variabel yang melanggar asumsi linearitas logit:

stress_level dan bullying. Beberapa lainnya mendekati signifikan, seperti:

self_esteem depression academic_performance safety

# Cek level faktor
levels(stress_df$mental_health_history)
## [1] "0" "1"
# Ambil data yang dipakai oleh model_logit (tanpa NA)
model_data <- model.frame(model)

# Ekstrak variabel target sebagai numeric
y <- as.numeric(as.character(model_data$mental_health_history))  # asumsi nama asli

# Ambil prediksi probabilitas dari model
predicted_probs <- fitted(model)

# Uji Hosmer-Lemeshow
# library(ResourceSelection)
hl_result <- hoslem.test(y, predicted_probs, g = 10)
print(hl_result)
## 
##  Hosmer and Lemeshow goodness of fit (GOF) test
## 
## data:  y, predicted_probs
## X-squared = 23.735, df = 8, p-value = 0.002539

Model regresi logistik tidak fit dengan baik terhadap data berdasarkan uji goodness of fit Hosmer-Lemeshow (p = 0.002539 < 0.05). Artinya, ada perbedaan signifikan antara probabilitas yang diprediksi oleh model dengan nilai aktual dari data.

# install.packages("corrplot")
# install.packages("Hmisc")

 library(ggplot2)
library(corrplot)
## Warning: package 'corrplot' was built under R version 4.4.3
## corrplot 0.95 loaded
library(Hmisc)
## Warning: package 'Hmisc' was built under R version 4.4.3
## 
## Attaching package: 'Hmisc'
## The following object is masked from 'package:parsnip':
## 
##     translate
## The following objects are masked from 'package:dplyr':
## 
##     src, summarize
## The following objects are masked from 'package:base':
## 
##     format.pval, units
cor_test <- rcorr(as.matrix(stress_df), type = "pearson")
cor_test$r
##                                  anxiety_level self_esteem
## anxiety_level                       1.00000000 -0.67274527
## self_esteem                        -0.67274527  1.00000000
## mental_health_history               0.63444962 -0.60350194
## depression                          0.69434038 -0.69960176
## headache                            0.63273760 -0.62605846
## blood_pressure                      0.33086693 -0.51469196
## sleep_quality                      -0.71029231  0.66269281
## breathing_problem                   0.56165377 -0.51051430
## noise_level                         0.60862435 -0.57116874
## living_conditions                  -0.56843442  0.55053505
## safety                             -0.65121978  0.64398072
## basic_needs                        -0.63707854  0.63121163
## academic_performance               -0.64960113  0.63904518
## study_load                          0.58606418 -0.57511170
## teacher_student_relationship       -0.66317647  0.65293428
## future_career_concerns              0.71701563 -0.71251955
## social_support                     -0.56974786  0.67921097
## peer_pressure                       0.64291015 -0.60711787
## extracurricular_activities          0.64102185 -0.64120175
## bullying                            0.70998150 -0.64073711
## stress_level                        0.73679542 -0.75619509
## log_anxiety_level                   0.57051210 -0.33533650
## log_self_esteem                    -0.31401135  0.58241317
## log_depression                      0.34939267 -0.32845097
## log_headache                        0.17905986 -0.10434691
## log_blood_pressure                  0.23663420 -0.42596284
## log_sleep_quality                  -0.24386743  0.24513968
## log_breathing_problem               0.15037932 -0.09095660
## log_noise_level                     0.18612637 -0.06274690
## log_living_conditions              -0.14185808  0.16863139
## log_safety                         -0.15064650  0.20377384
## log_basic_needs                    -0.08626239  0.18716829
## log_academic_performance           -0.15843602  0.20059590
## log_study_load                      0.16166297 -0.12265737
## log_teacher_student_relationship   -0.15229743  0.18354757
## log_future_career_concerns          0.26133966 -0.21675365
## log_social_support                 -0.13606695  0.18667830
## log_peer_pressure                   0.16512276 -0.07761779
## log_extracurricular_activities      0.16340639 -0.14767590
## log_bullying                        0.20520820 -0.11663407
## log_stress_level                    0.67545753 -0.62197075
##                                  mental_health_history depression    headache
## anxiety_level                               0.63444962  0.6943404  0.63273760
## self_esteem                                -0.60350194 -0.6996018 -0.62605846
## mental_health_history                       1.00000000  0.6158823  0.60482582
## depression                                  0.61588234  1.0000000  0.65769990
## headache                                    0.60482582  0.6576999  1.00000000
## blood_pressure                              0.29561732  0.4360842  0.36198625
## sleep_quality                              -0.61414595 -0.6931609 -0.63877085
## breathing_problem                           0.46434727  0.5225402  0.46171877
## noise_level                                 0.51528986  0.5662495  0.54355726
## living_conditions                          -0.50852517 -0.5303507 -0.53282511
## safety                                     -0.54673128 -0.6258572 -0.58913649
## basic_needs                                -0.60119551 -0.6087761 -0.62319892
## academic_performance                       -0.58619306 -0.6331743 -0.62205855
## study_load                                  0.53226652  0.6024984  0.54288968
## teacher_student_relationship               -0.58772774 -0.6738530 -0.62592817
## future_career_concerns                      0.62590942  0.7065606  0.67930724
## social_support                             -0.48255961 -0.6179720 -0.57298794
## peer_pressure                               0.58060193  0.6355437  0.62258071
## extracurricular_activities                  0.55457620  0.6485506  0.58256192
## bullying                                    0.62436580  0.6657899  0.60977550
## stress_level                                0.64864400  0.7343786  0.71348404
## log_anxiety_level                           0.33198867  0.3577995  0.32230672
## log_self_esteem                            -0.29984563 -0.3346461 -0.29332397
## log_depression                              0.32858487  0.5564297  0.31509909
## log_headache                                0.23635632  0.2057355  0.54754464
## log_blood_pressure                          0.21304855  0.3453010  0.27266109
## log_sleep_quality                          -0.14910988 -0.2369747 -0.17718043
## log_breathing_problem                       0.08585825  0.0873045  0.06704206
## log_noise_level                             0.10475502  0.1029564  0.08254060
## log_living_conditions                      -0.15938031 -0.1309274 -0.22008240
## log_safety                                 -0.09295817 -0.1767469 -0.15474904
## log_basic_needs                            -0.17444096 -0.1369698 -0.16965158
## log_academic_performance                   -0.12914301 -0.1748091 -0.17271196
## log_study_load                              0.15470649  0.1368374  0.12722656
## log_teacher_student_relationship           -0.14005957 -0.1959593 -0.13850764
## log_future_career_concerns                  0.20109006  0.1905238  0.19060014
## log_social_support                         -0.05750084 -0.1132574 -0.11037818
## log_peer_pressure                           0.17588623  0.1541321  0.20026673
## log_extracurricular_activities              0.12527164  0.1453502  0.12203250
## log_bullying                                0.17577056  0.1509336  0.13662573
## log_stress_level                            0.57568116  0.6269266  0.62540505
##                                  blood_pressure sleep_quality breathing_problem
## anxiety_level                        0.33086693   -0.71029231        0.56165377
## self_esteem                         -0.51469196    0.66269281       -0.51051430
## mental_health_history                0.29561732   -0.61414595        0.46434727
## depression                           0.43608416   -0.69316091        0.52254022
## headache                             0.36198625   -0.63877085        0.46171877
## blood_pressure                       1.00000000   -0.30032340        0.16230841
## sleep_quality                       -0.30032340    1.00000000       -0.54168664
## breathing_problem                    0.16230841   -0.54168664        1.00000000
## noise_level                          0.35274398   -0.57664546        0.45923452
## living_conditions                   -0.27468555    0.53546152       -0.44899700
## safety                              -0.28835357    0.65768634       -0.51934756
## basic_needs                         -0.28058999    0.62095470       -0.50817208
## academic_performance                -0.26278539    0.67132630       -0.50725088
## study_load                           0.34896434   -0.55177507        0.42879097
## teacher_student_relationship        -0.35212296    0.67756912       -0.49889453
## future_career_concerns               0.43408740   -0.68212976        0.54534506
## social_support                      -0.75253096    0.55455309       -0.36517338
## peer_pressure                        0.40139211   -0.64909813        0.49272879
## extracurricular_activities           0.42625450   -0.62309232        0.51688436
## bullying                             0.37044021   -0.69942716        0.57634082
## stress_level                         0.39419986   -0.74906786        0.57398367
## log_anxiety_level                    0.07295698   -0.37313632        0.29267556
## log_self_esteem                     -0.31242169    0.29172648       -0.25301976
## log_depression                       0.06422534   -0.34431332        0.24346655
## log_headache                        -0.07397846   -0.18032715        0.15128173
## log_blood_pressure                   0.99015632   -0.20095781        0.08715666
## log_sleep_quality                   -0.27983120    0.55242783       -0.12287644
## log_breathing_problem               -0.15005000   -0.15024352        0.57558223
## log_noise_level                     -0.09978987   -0.14773780        0.18391017
## log_living_conditions               -0.23273906    0.09621618       -0.01978446
## log_safety                          -0.24937423    0.17695912       -0.12488345
## log_basic_needs                     -0.25713339    0.12057254       -0.07371917
## log_academic_performance            -0.23810042    0.19778011       -0.04650144
## log_study_load                      -0.10440702   -0.12427312        0.10775046
## log_teacher_student_relationship    -0.27349243    0.16805686       -0.09594926
## log_future_career_concerns          -0.04532328   -0.18893495        0.21375163
## log_social_support                  -0.39765232    0.05852292       -0.01454490
## log_peer_pressure                   -0.09257058   -0.15446541        0.11207178
## log_extracurricular_activities      -0.07568433   -0.12213599        0.21645122
## log_bullying                        -0.09517587   -0.24419287        0.25778015
## log_stress_level                     0.02902564   -0.69377975        0.55043022
##                                  noise_level living_conditions      safety
## anxiety_level                     0.60862435       -0.56843442 -0.65121978
## self_esteem                      -0.57116874        0.55053505  0.64398072
## mental_health_history             0.51528986       -0.50852517 -0.54673128
## depression                        0.56624953       -0.53035073 -0.62585718
## headache                          0.54355726       -0.53282511 -0.58913649
## blood_pressure                    0.35274398       -0.27468555 -0.28835357
## sleep_quality                    -0.57664546        0.53546152  0.65768634
## breathing_problem                 0.45923452       -0.44899700 -0.51934756
## noise_level                       1.00000000       -0.45236160 -0.53662963
## living_conditions                -0.45236160        1.00000000  0.56357097
## safety                           -0.53662963        0.56357097  1.00000000
## basic_needs                      -0.57232662        0.50327504  0.62477449
## academic_performance             -0.51372981        0.50722061  0.64284616
## study_load                        0.49362537       -0.43773247 -0.49390293
## teacher_student_relationship     -0.53875834        0.54933165  0.66332786
## future_career_concerns            0.57543908       -0.56507132 -0.65810571
## social_support                   -0.49209403        0.46659420  0.61498808
## peer_pressure                     0.58381732       -0.50179461 -0.55694540
## extracurricular_activities        0.56361356       -0.51579355 -0.58030419
## bullying                          0.58545828       -0.55113875 -0.64567328
## stress_level                      0.66337132       -0.58172308 -0.70960161
## log_anxiety_level                 0.29154596       -0.29416496 -0.35998305
## log_self_esteem                  -0.27079214        0.22907859  0.28130148
## log_depression                    0.27797023       -0.25432272 -0.32629692
## log_headache                      0.20312688       -0.18415622 -0.15209268
## log_blood_pressure                0.27911227       -0.19919950 -0.18269595
## log_sleep_quality                -0.14608600        0.21200112  0.21588266
## log_breathing_problem             0.15553575       -0.09666258 -0.06998787
## log_noise_level                   0.55784822       -0.10268258 -0.05936858
## log_living_conditions            -0.10036737        0.56340261  0.19262336
## log_safety                       -0.09961149        0.18050774  0.55091067
## log_basic_needs                  -0.14547742        0.12642984  0.17936937
## log_academic_performance         -0.08661148        0.12941176  0.23832243
## log_study_load                    0.15651201       -0.09108993 -0.04505007
## log_teacher_student_relationship -0.09995164        0.15265176  0.17115840
## log_future_career_concerns        0.13115541       -0.20832104 -0.20012941
## log_social_support               -0.07671202        0.09273086  0.22904943
## log_peer_pressure                 0.20558931       -0.13041039 -0.06370464
## log_extracurricular_activities    0.14430963       -0.15526947 -0.13408413
## log_bullying                      0.15842318       -0.11795135 -0.18266534
## log_stress_level                  0.55872434       -0.52278493 -0.70397070
##                                   basic_needs academic_performance  study_load
## anxiety_level                    -0.637078545          -0.64960113  0.58606418
## self_esteem                       0.631211628           0.63904518 -0.57511170
## mental_health_history            -0.601195512          -0.58619306  0.53226652
## depression                       -0.608776081          -0.63317435  0.60249837
## headache                         -0.623198919          -0.62205855  0.54288968
## blood_pressure                   -0.280589986          -0.26278539  0.34896434
## sleep_quality                     0.620954697           0.67132630 -0.55177507
## breathing_problem                -0.508172076          -0.50725088  0.42879097
## noise_level                      -0.572326618          -0.51372981  0.49362537
## living_conditions                 0.503275042           0.50722061 -0.43773247
## safety                            0.624774494           0.64284616 -0.49390293
## basic_needs                       1.000000000           0.63938746 -0.51345946
## academic_performance              0.639387458           1.00000000 -0.52041665
## study_load                       -0.513459456          -0.52041665  1.00000000
## teacher_student_relationship      0.649518844           0.66946932 -0.51412279
## future_career_concerns           -0.639347876          -0.64380493  0.57607822
## social_support                    0.584141374           0.56750121 -0.47331209
## peer_pressure                    -0.587036531          -0.56294766  0.54418902
## extracurricular_activities       -0.506425784          -0.58861221  0.54354313
## bullying                         -0.644886165          -0.66622873  0.58666858
## stress_level                     -0.708967592          -0.72092236  0.63415550
## log_anxiety_level                -0.374635848          -0.36960257  0.28342161
## log_self_esteem                   0.280661165           0.27989884 -0.28694231
## log_depression                   -0.294171189          -0.34986951  0.27213873
## log_headache                     -0.182361388          -0.17531781  0.18496091
## log_blood_pressure               -0.177677031          -0.15909847  0.27768642
## log_sleep_quality                 0.131848557           0.25001953 -0.12348369
## log_breathing_problem            -0.064339689          -0.10657449  0.10418075
## log_noise_level                  -0.119714868          -0.03810416  0.08236315
## log_living_conditions             0.143192154           0.10858845 -0.06551369
## log_safety                        0.210114974           0.14200330 -0.08144706
## log_basic_needs                   0.562675262           0.16820856 -0.13002560
## log_academic_performance          0.174844953           0.54604630 -0.06765925
## log_study_load                   -0.079997938          -0.09010002  0.55825229
## log_teacher_student_relationship  0.177635552           0.15910595 -0.03223908
## log_future_career_concerns       -0.149863848          -0.19313464  0.16311512
## log_social_support                0.175607605           0.12879612 -0.02613277
## log_peer_pressure                -0.131845522          -0.09651155  0.07882468
## log_extracurricular_activities    0.003843213          -0.09349017  0.13349382
## log_bullying                     -0.130921625          -0.21266308  0.15276301
## log_stress_level                 -0.696349968          -0.70478602  0.54419127
##                                  teacher_student_relationship
## anxiety_level                                     -0.66317647
## self_esteem                                        0.65293428
## mental_health_history                             -0.58772774
## depression                                        -0.67385295
## headache                                          -0.62592817
## blood_pressure                                    -0.35212296
## sleep_quality                                      0.67756912
## breathing_problem                                 -0.49889453
## noise_level                                       -0.53875834
## living_conditions                                  0.54933165
## safety                                             0.66332786
## basic_needs                                        0.64951884
## academic_performance                               0.66946932
## study_load                                        -0.51412279
## teacher_student_relationship                       1.00000000
## future_career_concerns                            -0.67025496
## social_support                                     0.68128779
## peer_pressure                                     -0.58777023
## extracurricular_activities                        -0.58231077
## bullying                                          -0.65596038
## stress_level                                      -0.68016274
## log_anxiety_level                                 -0.36807925
## log_self_esteem                                    0.28673609
## log_depression                                    -0.35111032
## log_headache                                      -0.13293487
## log_blood_pressure                                -0.24166002
## log_sleep_quality                                  0.30756121
## log_breathing_problem                             -0.03837694
## log_noise_level                                   -0.05201848
## log_living_conditions                              0.23569919
## log_safety                                         0.24976335
## log_basic_needs                                    0.26581863
## log_academic_performance                           0.26223274
## log_study_load                                    -0.01317035
## log_teacher_student_relationship                   0.56262334
## log_future_career_concerns                        -0.14192084
## log_social_support                                 0.26923313
## log_peer_pressure                                 -0.06778871
## log_extracurricular_activities                    -0.06476411
## log_bullying                                      -0.11289795
## log_stress_level                                  -0.67196354
##                                  future_career_concerns social_support
## anxiety_level                                0.71701563    -0.56974786
## self_esteem                                 -0.71251955     0.67921097
## mental_health_history                        0.62590942    -0.48255961
## depression                                   0.70656060    -0.61797197
## headache                                     0.67930724    -0.57298794
## blood_pressure                               0.43408740    -0.75253096
## sleep_quality                               -0.68212976     0.55455309
## breathing_problem                            0.54534506    -0.36517338
## noise_level                                  0.57543908    -0.49209403
## living_conditions                           -0.56507132     0.46659420
## safety                                      -0.65810571     0.61498808
## basic_needs                                 -0.63934788     0.58414137
## academic_performance                        -0.64380493     0.56750121
## study_load                                   0.57607822    -0.47331209
## teacher_student_relationship                -0.67025496     0.68128779
## future_career_concerns                       1.00000000    -0.60279160
## social_support                              -0.60279160     1.00000000
## peer_pressure                                0.66687250    -0.49017172
## extracurricular_activities                   0.66656465    -0.53004735
## bullying                                     0.71127810    -0.56707834
## stress_level                                 0.74261860    -0.63249699
## log_anxiety_level                            0.35217467    -0.28305918
## log_self_esteem                             -0.33429589     0.32545516
## log_depression                               0.34808709    -0.25038463
## log_headache                                 0.24915498     0.04005615
## log_blood_pressure                           0.34470755    -0.66698976
## log_sleep_quality                           -0.19091115     0.37260827
## log_breathing_problem                        0.11525184     0.14251773
## log_noise_level                              0.11619988     0.09806626
## log_living_conditions                       -0.14175643     0.32625154
## log_safety                                  -0.15929443     0.37206810
## log_basic_needs                             -0.14025145     0.35239299
## log_academic_performance                    -0.15792073     0.33934698
## log_study_load                               0.07793504     0.10668413
## log_teacher_student_relationship            -0.15498057     0.39717933
## log_future_career_concerns                   0.54983742     0.01685260
## log_social_support                          -0.09530706     0.64841247
## log_peer_pressure                            0.14587821     0.10156161
## log_extracurricular_activities               0.17321670     0.07711618
## log_bullying                                 0.19772297     0.05809756
## log_stress_level                             0.63592415    -0.47496718
##                                  peer_pressure extracurricular_activities
## anxiety_level                       0.64291015                 0.64102185
## self_esteem                        -0.60711787                -0.64120175
## mental_health_history               0.58060193                 0.55457620
## depression                          0.63554372                 0.64855059
## headache                            0.62258071                 0.58256192
## blood_pressure                      0.40139211                 0.42625450
## sleep_quality                      -0.64909813                -0.62309232
## breathing_problem                   0.49272879                 0.51688436
## noise_level                         0.58381732                 0.56361356
## living_conditions                  -0.50179461                -0.51579355
## safety                             -0.55694540                -0.58030419
## basic_needs                        -0.58703653                -0.50642578
## academic_performance               -0.56294766                -0.58861221
## study_load                          0.54418902                 0.54354313
## teacher_student_relationship       -0.58777023                -0.58231077
## future_career_concerns              0.66687250                 0.66656465
## social_support                     -0.49017172                -0.53004735
## peer_pressure                       1.00000000                 0.61837059
## extracurricular_activities          0.61837059                 1.00000000
## bullying                            0.66105775                 0.65197861
## stress_level                        0.69068396                 0.69297687
## log_anxiety_level                   0.28254568                 0.27879629
## log_self_esteem                    -0.29906088                -0.31008489
## log_depression                      0.29262048                 0.30095061
## log_headache                        0.23170783                 0.20384886
## log_blood_pressure                  0.33148502                 0.35214009
## log_sleep_quality                  -0.16410727                -0.13390792
## log_breathing_problem               0.15305706                 0.17617443
## log_noise_level                     0.22137102                 0.18115784
## log_living_conditions              -0.08293040                -0.10314398
## log_safety                         -0.09284956                -0.10132804
## log_basic_needs                    -0.13078123                -0.04071462
## log_academic_performance           -0.13859158                -0.15906849
## log_study_load                      0.15049458                 0.16709019
## log_teacher_student_relationship   -0.14435426                -0.14178347
## log_future_career_concerns          0.22916171                 0.24749178
## log_social_support                  0.01020253                -0.03690062
## log_peer_pressure                   0.55474505                 0.18261005
## log_extracurricular_activities      0.20090498                 0.55491543
## log_bullying                        0.22960627                 0.17719550
## log_stress_level                    0.55484163                 0.55426144
##                                     bullying stress_level log_anxiety_level
## anxiety_level                     0.70998150   0.73679542        0.57051210
## self_esteem                      -0.64073711  -0.75619509       -0.33533650
## mental_health_history             0.62436580   0.64864400        0.33198867
## depression                        0.66578988   0.73437857        0.35779953
## headache                          0.60977550   0.71348404        0.32230672
## blood_pressure                    0.37044021   0.39419986        0.07295698
## sleep_quality                    -0.69942716  -0.74906786       -0.37313632
## breathing_problem                 0.57634082   0.57398367        0.29267556
## noise_level                       0.58545828   0.66337132        0.29154596
## living_conditions                -0.55113875  -0.58172308       -0.29416496
## safety                           -0.64567328  -0.70960161       -0.35998305
## basic_needs                      -0.64488617  -0.70896759       -0.37463585
## academic_performance             -0.66622873  -0.72092236       -0.36960257
## study_load                        0.58666858   0.63415550        0.28342161
## teacher_student_relationship     -0.65596038  -0.68016274       -0.36807925
## future_career_concerns            0.71127810   0.74261860        0.35217467
## social_support                   -0.56707834  -0.63249699       -0.28305918
## peer_pressure                     0.66105775   0.69068396        0.28254568
## extracurricular_activities        0.65197861   0.69297687        0.27879629
## bullying                          1.00000000   0.75116225        0.34904917
## stress_level                      0.75116225   1.00000000        0.36834499
## log_anxiety_level                 0.34904917   0.36834499        1.00000000
## log_self_esteem                  -0.28881687  -0.34518529       -0.14150674
## log_depression                    0.31883457   0.34485762        0.22459637
## log_headache                      0.18177282   0.23045209        0.08570661
## log_blood_pressure                0.28238041   0.29283707        0.01185937
## log_sleep_quality                -0.20581959  -0.21980106       -0.13355009
## log_breathing_problem             0.19093616   0.17328423        0.05732370
## log_noise_level                   0.16155994   0.20923364        0.06174979
## log_living_conditions            -0.08102626  -0.12354339       -0.09160679
## log_safety                       -0.17680361  -0.20372047       -0.09911165
## log_basic_needs                  -0.19628052  -0.18332339       -0.05730109
## log_academic_performance         -0.15286505  -0.18182342       -0.07815358
## log_study_load                    0.17855120   0.18694965        0.05726109
## log_teacher_student_relationship -0.14602678  -0.09326764       -0.10361961
## log_future_career_concerns        0.22672788   0.18943445        0.13658681
## log_social_support               -0.10369372  -0.11802691       -0.08167550
## log_peer_pressure                 0.15283230   0.19916188        0.05414391
## log_extracurricular_activities    0.16635270   0.16401954        0.05220892
## log_bullying                      0.55576823   0.22428264        0.10578504
## log_stress_level                  0.65693309   0.89266656        0.40067848
##                                  log_self_esteem log_depression log_headache
## anxiety_level                        -0.31401135    0.349392667   0.17905986
## self_esteem                           0.58241317   -0.328450975  -0.10434691
## mental_health_history                -0.29984563    0.328584867   0.23635632
## depression                           -0.33464613    0.556429708   0.20573553
## headache                             -0.29332397    0.315099089   0.54754464
## blood_pressure                       -0.31242169    0.064225337  -0.07397846
## sleep_quality                         0.29172648   -0.344313320  -0.18032715
## breathing_problem                    -0.25301976    0.243466548   0.15128173
## noise_level                          -0.27079214    0.277970231   0.20312688
## living_conditions                     0.22907859   -0.254322725  -0.18415622
## safety                                0.28130148   -0.326296922  -0.15209268
## basic_needs                           0.28066117   -0.294171189  -0.18236139
## academic_performance                  0.27989884   -0.349869509  -0.17531781
## study_load                           -0.28694231    0.272138732   0.18496091
## teacher_student_relationship          0.28673609   -0.351110319  -0.13293487
## future_career_concerns               -0.33429589    0.348087086   0.24915498
## social_support                        0.32545516   -0.250384632   0.04005615
## peer_pressure                        -0.29906088    0.292620484   0.23170783
## extracurricular_activities           -0.31008489    0.300950613   0.20384886
## bullying                             -0.28881687    0.318834568   0.18177282
## stress_level                         -0.34518529    0.344857615   0.23045209
## log_anxiety_level                    -0.14150674    0.224596374   0.08570661
## log_self_esteem                       1.00000000   -0.141188856  -0.04900581
## log_depression                       -0.14118886    1.000000000   0.11960447
## log_headache                         -0.04900581    0.119604471   1.00000000
## log_blood_pressure                   -0.27918549    0.007206122  -0.09200062
## log_sleep_quality                     0.09055704   -0.105629564   0.11909529
## log_breathing_problem                -0.04472831    0.035561642   0.10758439
## log_noise_level                      -0.00692713    0.077628259   0.13323470
## log_living_conditions                 0.04834312   -0.041703803  -0.03224305
## log_safety                            0.08807628   -0.043349217   0.03906369
## log_basic_needs                       0.06276153    0.008742443   0.06359032
## log_academic_performance              0.09579666   -0.086303764   0.04003392
## log_study_load                       -0.05157256    0.038264975   0.18743094
## log_teacher_student_relationship      0.08705152   -0.114385557   0.03387245
## log_future_career_concerns           -0.08677067    0.103092280   0.22799034
## log_social_support                    0.06328330   -0.032368472   0.21953053
## log_peer_pressure                    -0.04504078    0.088353602   0.21257734
## log_extracurricular_activities       -0.09213792    0.116704935   0.21660122
## log_bullying                         -0.07480524    0.075959970   0.19937653
## log_stress_level                     -0.23471552    0.370978730   0.21709124
##                                  log_blood_pressure log_sleep_quality
## anxiety_level                           0.236634203       -0.24386743
## self_esteem                            -0.425962835        0.24513968
## mental_health_history                   0.213048553       -0.14910988
## depression                              0.345300996       -0.23697472
## headache                                0.272661095       -0.17718043
## blood_pressure                          0.990156318       -0.27983120
## sleep_quality                          -0.200957810        0.55242783
## breathing_problem                       0.087156658       -0.12287644
## noise_level                             0.279112273       -0.14608600
## living_conditions                      -0.199199496        0.21200112
## safety                                 -0.182695949        0.21588266
## basic_needs                            -0.177677031        0.13184856
## academic_performance                   -0.159098471        0.25001953
## study_load                              0.277686417       -0.12348369
## teacher_student_relationship           -0.241660022        0.30756121
## future_career_concerns                  0.344707554       -0.19091115
## social_support                         -0.666989761        0.37260827
## peer_pressure                           0.331485023       -0.16410727
## extracurricular_activities              0.352140087       -0.13390792
## bullying                                0.282380413       -0.20581959
## stress_level                            0.292837065       -0.21980106
## log_anxiety_level                       0.011859369       -0.13355009
## log_self_esteem                        -0.279185495        0.09055704
## log_depression                          0.007206122       -0.10562956
## log_headache                           -0.092000622        0.11909529
## log_blood_pressure                      1.000000000       -0.24172254
## log_sleep_quality                      -0.241722542        1.00000000
## log_breathing_problem                  -0.154394999        0.06202604
## log_noise_level                        -0.106668289        0.07277372
## log_living_conditions                  -0.204104949        0.17498669
## log_safety                             -0.213528350        0.20313863
## log_basic_needs                        -0.222286322        0.04086588
## log_academic_performance               -0.201810327        0.25639070
## log_study_load                         -0.110028064        0.15186398
## log_teacher_student_relationship       -0.237614071        0.23702290
## log_future_career_concerns             -0.065883693        0.06961403
## log_social_support                     -0.362887876        0.24059334
## log_peer_pressure                      -0.098279397        0.09492005
## log_extracurricular_activities         -0.084004860        0.16388205
## log_bullying                           -0.110119805        0.05454919
## log_stress_level                       -0.091304111       -0.17462154
##                                  log_breathing_problem log_noise_level
## anxiety_level                               0.15037932      0.18612637
## self_esteem                                -0.09095660     -0.06274690
## mental_health_history                       0.08585825      0.10475502
## depression                                  0.08730450      0.10295639
## headache                                    0.06704206      0.08254060
## blood_pressure                             -0.15005000     -0.09978987
## sleep_quality                              -0.15024352     -0.14773780
## breathing_problem                           0.57558223      0.18391017
## noise_level                                 0.15553575      0.55784822
## living_conditions                          -0.09666258     -0.10268258
## safety                                     -0.06998787     -0.05936858
## basic_needs                                -0.06433969     -0.11971487
## academic_performance                       -0.10657449     -0.03810416
## study_load                                  0.10418075      0.08236315
## teacher_student_relationship               -0.03837694     -0.05201848
## future_career_concerns                      0.11525184      0.11619988
## social_support                              0.14251773      0.09806626
## peer_pressure                               0.15305706      0.22137102
## extracurricular_activities                  0.17617443      0.18115784
## bullying                                    0.19093616      0.16155994
## stress_level                                0.17328423      0.20923364
## log_anxiety_level                           0.05732370      0.06174979
## log_self_esteem                            -0.04472831     -0.00692713
## log_depression                              0.03556164      0.07762826
## log_headache                                0.10758439      0.13323470
## log_blood_pressure                         -0.15439500     -0.10666829
## log_sleep_quality                           0.06202604      0.07277372
## log_breathing_problem                       1.00000000      0.25757713
## log_noise_level                             0.25757713      1.00000000
## log_living_conditions                       0.20418101      0.10946871
## log_safety                                  0.08655162      0.13840568
## log_basic_needs                             0.14494083      0.05188945
## log_academic_performance                    0.13376081      0.18513958
## log_study_load                              0.12618299      0.12161597
## log_teacher_student_relationship            0.08324342      0.13616743
## log_future_career_concerns                  0.13201641      0.10090554
## log_social_support                          0.23896247      0.22001715
## log_peer_pressure                           0.11240636      0.29190172
## log_extracurricular_activities              0.20674838      0.23300744
## log_bullying                                0.24203816      0.16916469
## log_stress_level                            0.17226090      0.20212803
##                                  log_living_conditions   log_safety
## anxiety_level                              -0.14185808 -0.150646502
## self_esteem                                 0.16863139  0.203773840
## mental_health_history                      -0.15938031 -0.092958168
## depression                                 -0.13092745 -0.176746896
## headache                                   -0.22008240 -0.154749041
## blood_pressure                             -0.23273906 -0.249374230
## sleep_quality                               0.09621618  0.176959118
## breathing_problem                          -0.01978446 -0.124883446
## noise_level                                -0.10036737 -0.099611489
## living_conditions                           0.56340261  0.180507743
## safety                                      0.19262336  0.550910671
## basic_needs                                 0.14319215  0.210114974
## academic_performance                        0.10858845  0.142003300
## study_load                                 -0.06551369 -0.081447062
## teacher_student_relationship                0.23569919  0.249763353
## future_career_concerns                     -0.14175643 -0.159294431
## social_support                              0.32625154  0.372068102
## peer_pressure                              -0.08293040 -0.092849559
## extracurricular_activities                 -0.10314398 -0.101328045
## bullying                                   -0.08102626 -0.176803612
## stress_level                               -0.12354339 -0.203720469
## log_anxiety_level                          -0.09160679 -0.099111648
## log_self_esteem                             0.04834312  0.088076283
## log_depression                             -0.04170380 -0.043349217
## log_headache                               -0.03224305  0.039063690
## log_blood_pressure                         -0.20410495 -0.213528350
## log_sleep_quality                           0.17498669  0.203138626
## log_breathing_problem                       0.20418101  0.086551617
## log_noise_level                             0.10946871  0.138405681
## log_living_conditions                       1.00000000  0.220945972
## log_safety                                  0.22094597  1.000000000
## log_basic_needs                             0.15848679  0.213089022
## log_academic_performance                    0.09708721  0.112241475
## log_study_load                              0.19472780  0.140300300
## log_teacher_student_relationship            0.22749566  0.191601794
## log_future_career_concerns                  0.01202687  0.054182287
## log_social_support                          0.29658428  0.336812033
## log_peer_pressure                           0.05473179  0.135622926
## log_extracurricular_activities              0.12768635  0.123307608
## log_bullying                                0.18206342 -0.006074078
## log_stress_level                           -0.09519286 -0.183253330
##                                  log_basic_needs log_academic_performance
## anxiety_level                       -0.086262394              -0.15843602
## self_esteem                          0.187168293               0.20059590
## mental_health_history               -0.174440958              -0.12914301
## depression                          -0.136969820              -0.17480910
## headache                            -0.169651582              -0.17271196
## blood_pressure                      -0.257133395              -0.23810042
## sleep_quality                        0.120572536               0.19778011
## breathing_problem                   -0.073719168              -0.04650144
## noise_level                         -0.145477425              -0.08661148
## living_conditions                    0.126429838               0.12941176
## safety                               0.179369373               0.23832243
## basic_needs                          0.562675262               0.17484495
## academic_performance                 0.168208558               0.54604630
## study_load                          -0.130025596              -0.06765925
## teacher_student_relationship         0.265818634               0.26223274
## future_career_concerns              -0.140251447              -0.15792073
## social_support                       0.352392993               0.33934698
## peer_pressure                       -0.130781228              -0.13859158
## extracurricular_activities          -0.040714616              -0.15906849
## bullying                            -0.196280522              -0.15286505
## stress_level                        -0.183323390              -0.18182342
## log_anxiety_level                   -0.057301086              -0.07815358
## log_self_esteem                      0.062761534               0.09579666
## log_depression                       0.008742443              -0.08630376
## log_headache                         0.063590323               0.04003392
## log_blood_pressure                  -0.222286322              -0.20181033
## log_sleep_quality                    0.040865882               0.25639070
## log_breathing_problem                0.144940825               0.13376081
## log_noise_level                      0.051889445               0.18513958
## log_living_conditions                0.158486792               0.09708721
## log_safety                           0.213089022               0.11224148
## log_basic_needs                      1.000000000               0.11838734
## log_academic_performance             0.118387340               1.00000000
## log_study_load                       0.082985995               0.17268925
## log_teacher_student_relationship     0.256985964               0.17905525
## log_future_career_concerns           0.103100363               0.04592914
## log_social_support                   0.262658360               0.23433321
## log_peer_pressure                    0.074109598               0.05747830
## log_extracurricular_activities       0.216681039               0.08340971
## log_bullying                         0.034624633               0.02788645
## log_stress_level                    -0.170279625              -0.15883130
##                                  log_study_load
## anxiety_level                        0.16166297
## self_esteem                         -0.12265737
## mental_health_history                0.15470649
## depression                           0.13683740
## headache                             0.12722656
## blood_pressure                      -0.10440702
## sleep_quality                       -0.12427312
## breathing_problem                    0.10775046
## noise_level                          0.15651201
## living_conditions                   -0.09108993
## safety                              -0.04505007
## basic_needs                         -0.07999794
## academic_performance                -0.09010002
## study_load                           0.55825229
## teacher_student_relationship        -0.01317035
## future_career_concerns               0.07793504
## social_support                       0.10668413
## peer_pressure                        0.15049458
## extracurricular_activities           0.16709019
## bullying                             0.17855120
## stress_level                         0.18694965
## log_anxiety_level                    0.05726109
## log_self_esteem                     -0.05157256
## log_depression                       0.03826497
## log_headache                         0.18743094
## log_blood_pressure                  -0.11002806
## log_sleep_quality                    0.15186398
## log_breathing_problem                0.12618299
## log_noise_level                      0.12161597
## log_living_conditions                0.19472780
## log_safety                           0.14030030
## log_basic_needs                      0.08298599
## log_academic_performance             0.17268925
## log_study_load                       1.00000000
## log_teacher_student_relationship     0.25996717
## log_future_career_concerns           0.09630501
## log_social_support                   0.22989660
## log_peer_pressure                    0.06747230
## log_extracurricular_activities       0.20310441
## log_bullying                         0.16870775
## log_stress_level                     0.18161889
##                                  log_teacher_student_relationship
## anxiety_level                                         -0.15229743
## self_esteem                                            0.18354757
## mental_health_history                                 -0.14005957
## depression                                            -0.19595935
## headache                                              -0.13850764
## blood_pressure                                        -0.27349243
## sleep_quality                                          0.16805686
## breathing_problem                                     -0.09594926
## noise_level                                           -0.09995164
## living_conditions                                      0.15265176
## safety                                                 0.17115840
## basic_needs                                            0.17763555
## academic_performance                                   0.15910595
## study_load                                            -0.03223908
## teacher_student_relationship                           0.56262334
## future_career_concerns                                -0.15498057
## social_support                                         0.39717933
## peer_pressure                                         -0.14435426
## extracurricular_activities                            -0.14178347
## bullying                                              -0.14602678
## stress_level                                          -0.09326764
## log_anxiety_level                                     -0.10361961
## log_self_esteem                                        0.08705152
## log_depression                                        -0.11438556
## log_headache                                           0.03387245
## log_blood_pressure                                    -0.23761407
## log_sleep_quality                                      0.23702290
## log_breathing_problem                                  0.08324342
## log_noise_level                                        0.13616743
## log_living_conditions                                  0.22749566
## log_safety                                             0.19160179
## log_basic_needs                                        0.25698596
## log_academic_performance                               0.17905525
## log_study_load                                         0.25996717
## log_teacher_student_relationship                       1.00000000
## log_future_career_concerns                             0.09464819
## log_social_support                                     0.37495640
## log_peer_pressure                                      0.07576350
## log_extracurricular_activities                         0.04063466
## log_bullying                                           0.10968516
## log_stress_level                                      -0.08334092
##                                  log_future_career_concerns log_social_support
## anxiety_level                                    0.26133966        -0.13606695
## self_esteem                                     -0.21675365         0.18667830
## mental_health_history                            0.20109006        -0.05750084
## depression                                       0.19052381        -0.11325737
## headache                                         0.19060014        -0.11037818
## blood_pressure                                  -0.04532328        -0.39765232
## sleep_quality                                   -0.18893495         0.05852292
## breathing_problem                                0.21375163        -0.01454490
## noise_level                                      0.13115541        -0.07671202
## living_conditions                               -0.20832104         0.09273086
## safety                                          -0.20012941         0.22904943
## basic_needs                                     -0.14986385         0.17560761
## academic_performance                            -0.19313464         0.12879612
## study_load                                       0.16311512        -0.02613277
## teacher_student_relationship                    -0.14192084         0.26923313
## future_career_concerns                           0.54983742        -0.09530706
## social_support                                   0.01685260         0.64841247
## peer_pressure                                    0.22916171         0.01020253
## extracurricular_activities                       0.24749178        -0.03690062
## bullying                                         0.22672788        -0.10369372
## stress_level                                     0.18943445        -0.11802691
## log_anxiety_level                                0.13658681        -0.08167550
## log_self_esteem                                 -0.08677067         0.06328330
## log_depression                                   0.10309228        -0.03236847
## log_headache                                     0.22799034         0.21953053
## log_blood_pressure                              -0.06588369        -0.36288788
## log_sleep_quality                                0.06961403         0.24059334
## log_breathing_problem                            0.13201641         0.23896247
## log_noise_level                                  0.10090554         0.22001715
## log_living_conditions                            0.01202687         0.29658428
## log_safety                                       0.05418229         0.33681203
## log_basic_needs                                  0.10310036         0.26265836
## log_academic_performance                         0.04592914         0.23433321
## log_study_load                                   0.09630501         0.22989660
## log_teacher_student_relationship                 0.09464819         0.37495640
## log_future_career_concerns                       1.00000000         0.22102986
## log_social_support                               0.22102986         1.00000000
## log_peer_pressure                                0.14832859         0.23847309
## log_extracurricular_activities                   0.21400654         0.21772946
## log_bullying                                     0.17752378         0.19395814
## log_stress_level                                 0.18574023        -0.10743835
##                                  log_peer_pressure
## anxiety_level                           0.16512276
## self_esteem                            -0.07761779
## mental_health_history                   0.17588623
## depression                              0.15413211
## headache                                0.20026673
## blood_pressure                         -0.09257058
## sleep_quality                          -0.15446541
## breathing_problem                       0.11207178
## noise_level                             0.20558931
## living_conditions                      -0.13041039
## safety                                 -0.06370464
## basic_needs                            -0.13184552
## academic_performance                   -0.09651155
## study_load                              0.07882468
## teacher_student_relationship           -0.06778871
## future_career_concerns                  0.14587821
## social_support                          0.10156161
## peer_pressure                           0.55474505
## extracurricular_activities              0.18261005
## bullying                                0.15283230
## stress_level                            0.19916188
## log_anxiety_level                       0.05414391
## log_self_esteem                        -0.04504078
## log_depression                          0.08835360
## log_headache                            0.21257734
## log_blood_pressure                     -0.09827940
## log_sleep_quality                       0.09492005
## log_breathing_problem                   0.11240636
## log_noise_level                         0.29190172
## log_living_conditions                   0.05473179
## log_safety                              0.13562293
## log_basic_needs                         0.07410960
## log_academic_performance                0.05747830
## log_study_load                          0.06747230
## log_teacher_student_relationship        0.07576350
## log_future_career_concerns              0.14832859
## log_social_support                      0.23847309
## log_peer_pressure                       1.00000000
## log_extracurricular_activities          0.21917975
## log_bullying                            0.17426604
## log_stress_level                        0.18421087
##                                  log_extracurricular_activities log_bullying
## anxiety_level                                       0.163406388  0.205208201
## self_esteem                                        -0.147675897 -0.116634072
## mental_health_history                               0.125271638  0.175770560
## depression                                          0.145350162  0.150933582
## headache                                            0.122032505  0.136625728
## blood_pressure                                     -0.075684331 -0.095175873
## sleep_quality                                      -0.122135985 -0.244192874
## breathing_problem                                   0.216451223  0.257780147
## noise_level                                         0.144309628  0.158423177
## living_conditions                                  -0.155269469 -0.117951347
## safety                                             -0.134084130 -0.182665337
## basic_needs                                         0.003843213 -0.130921625
## academic_performance                               -0.093490170 -0.212663082
## study_load                                          0.133493820  0.152763009
## teacher_student_relationship                       -0.064764109 -0.112897953
## future_career_concerns                              0.173216701  0.197722971
## social_support                                      0.077116180  0.058097557
## peer_pressure                                       0.200904984  0.229606272
## extracurricular_activities                          0.554915428  0.177195504
## bullying                                            0.166352699  0.555768230
## stress_level                                        0.164019537  0.224282638
## log_anxiety_level                                   0.052208917  0.105785035
## log_self_esteem                                    -0.092137923 -0.074805240
## log_depression                                      0.116704935  0.075959970
## log_headache                                        0.216601222  0.199376531
## log_blood_pressure                                 -0.084004860 -0.110119805
## log_sleep_quality                                   0.163882050  0.054549185
## log_breathing_problem                               0.206748378  0.242038157
## log_noise_level                                     0.233007441  0.169164686
## log_living_conditions                               0.127686352  0.182063423
## log_safety                                          0.123307608 -0.006074078
## log_basic_needs                                     0.216681039  0.034624633
## log_academic_performance                            0.083409707  0.027886447
## log_study_load                                      0.203104411  0.168707751
## log_teacher_student_relationship                    0.040634655  0.109685162
## log_future_career_concerns                          0.214006540  0.177523777
## log_social_support                                  0.217729459  0.193958142
## log_peer_pressure                                   0.219179750  0.174266038
## log_extracurricular_activities                      1.000000000  0.152189301
## log_bullying                                        0.152189301  1.000000000
## log_stress_level                                    0.153186465  0.217425432
##                                  log_stress_level
## anxiety_level                          0.67545753
## self_esteem                           -0.62197075
## mental_health_history                  0.57568116
## depression                             0.62692656
## headache                               0.62540505
## blood_pressure                         0.02902564
## sleep_quality                         -0.69377975
## breathing_problem                      0.55043022
## noise_level                            0.55872434
## living_conditions                     -0.52278493
## safety                                -0.70397070
## basic_needs                           -0.69634997
## academic_performance                  -0.70478602
## study_load                             0.54419127
## teacher_student_relationship          -0.67196354
## future_career_concerns                 0.63592415
## social_support                        -0.47496718
## peer_pressure                          0.55484163
## extracurricular_activities             0.55426144
## bullying                               0.65693309
## stress_level                           0.89266656
## log_anxiety_level                      0.40067848
## log_self_esteem                       -0.23471552
## log_depression                         0.37097873
## log_headache                           0.21709124
## log_blood_pressure                    -0.09130411
## log_sleep_quality                     -0.17462154
## log_breathing_problem                  0.17226090
## log_noise_level                        0.20212803
## log_living_conditions                 -0.09519286
## log_safety                            -0.18325333
## log_basic_needs                       -0.17027963
## log_academic_performance              -0.15883130
## log_study_load                         0.18161889
## log_teacher_student_relationship      -0.08334092
## log_future_career_concerns             0.18574023
## log_social_support                    -0.10743835
## log_peer_pressure                      0.18421087
## log_extracurricular_activities         0.15318647
## log_bullying                           0.21742543
## log_stress_level                       1.00000000
print(cor_test$P)
##                                  anxiety_level  self_esteem
## anxiety_level                               NA 0.000000e+00
## self_esteem                       0.000000e+00           NA
## mental_health_history             0.000000e+00 0.000000e+00
## depression                        0.000000e+00 0.000000e+00
## headache                          0.000000e+00 0.000000e+00
## blood_pressure                    0.000000e+00 0.000000e+00
## sleep_quality                     0.000000e+00 0.000000e+00
## breathing_problem                 0.000000e+00 0.000000e+00
## noise_level                       0.000000e+00 0.000000e+00
## living_conditions                 0.000000e+00 0.000000e+00
## safety                            0.000000e+00 0.000000e+00
## basic_needs                       0.000000e+00 0.000000e+00
## academic_performance              0.000000e+00 0.000000e+00
## study_load                        0.000000e+00 0.000000e+00
## teacher_student_relationship      0.000000e+00 0.000000e+00
## future_career_concerns            0.000000e+00 0.000000e+00
## social_support                    0.000000e+00 0.000000e+00
## peer_pressure                     0.000000e+00 0.000000e+00
## extracurricular_activities        0.000000e+00 0.000000e+00
## bullying                          0.000000e+00 0.000000e+00
## stress_level                      0.000000e+00 0.000000e+00
## log_anxiety_level                 0.000000e+00 0.000000e+00
## log_self_esteem                   0.000000e+00 0.000000e+00
## log_depression                    0.000000e+00 0.000000e+00
## log_headache                      2.226071e-09 5.276210e-04
## log_blood_pressure                1.776357e-15 0.000000e+00
## log_sleep_quality                 2.220446e-16 0.000000e+00
## log_breathing_problem             5.432706e-07 2.531755e-03
## log_noise_level                   4.954850e-10 3.745553e-02
## log_living_conditions             2.318690e-06 1.835261e-08
## log_safety                        5.184137e-07 8.951062e-12
## log_basic_needs                   4.195376e-03 3.950356e-10
## log_academic_performance          1.276761e-07 1.896172e-11
## log_study_load                    7.000533e-08 4.525516e-05
## log_teacher_student_relationship  3.874482e-07 8.632550e-10
## log_future_career_concerns        0.000000e+00 3.668177e-13
## log_social_support                5.932612e-06 4.395198e-10
## log_peer_pressure                 3.626711e-08 1.001677e-02
## log_extracurricular_activities    5.034525e-08 8.686245e-07
## log_bullying                      6.352918e-12 1.056847e-04
## log_stress_level                  0.000000e+00 0.000000e+00
##                                  mental_health_history   depression
## anxiety_level                             0.000000e+00 0.000000e+00
## self_esteem                               0.000000e+00 0.000000e+00
## mental_health_history                               NA 0.000000e+00
## depression                                0.000000e+00           NA
## headache                                  0.000000e+00 0.000000e+00
## blood_pressure                            0.000000e+00 0.000000e+00
## sleep_quality                             0.000000e+00 0.000000e+00
## breathing_problem                         0.000000e+00 0.000000e+00
## noise_level                               0.000000e+00 0.000000e+00
## living_conditions                         0.000000e+00 0.000000e+00
## safety                                    0.000000e+00 0.000000e+00
## basic_needs                               0.000000e+00 0.000000e+00
## academic_performance                      0.000000e+00 0.000000e+00
## study_load                                0.000000e+00 0.000000e+00
## teacher_student_relationship              0.000000e+00 0.000000e+00
## future_career_concerns                    0.000000e+00 0.000000e+00
## social_support                            0.000000e+00 0.000000e+00
## peer_pressure                             0.000000e+00 0.000000e+00
## extracurricular_activities                0.000000e+00 0.000000e+00
## bullying                                  0.000000e+00 0.000000e+00
## stress_level                              0.000000e+00 0.000000e+00
## log_anxiety_level                         0.000000e+00 0.000000e+00
## log_self_esteem                           0.000000e+00 0.000000e+00
## log_depression                            0.000000e+00 0.000000e+00
## log_headache                              1.998401e-15 5.596856e-12
## log_blood_pressure                        9.325873e-13 0.000000e+00
## log_sleep_quality                         6.779083e-07 1.776357e-15
## log_breathing_problem                     4.377124e-03 3.757841e-03
## log_noise_level                           5.014903e-04 6.264728e-04
## log_living_conditions                     1.072211e-07 1.323403e-05
## log_safety                                2.026963e-03 3.593604e-09
## log_basic_needs                           5.756562e-09 5.137013e-06
## log_academic_performance                  1.736552e-05 5.341658e-09
## log_study_load                            2.519131e-07 5.246957e-06
## log_teacher_student_relationship          3.116768e-06 5.545409e-11
## log_future_career_concerns                1.688627e-11 1.887663e-10
## log_social_support                        5.658584e-02 1.671042e-04
## log_peer_pressure                         4.287706e-09 2.793119e-07
## log_extracurricular_activities            3.093265e-05 1.292080e-06
## log_bullying                              4.390398e-09 4.929273e-07
## log_stress_level                          0.000000e+00 0.000000e+00
##                                      headache blood_pressure sleep_quality
## anxiety_level                    0.000000e+00   0.000000e+00  0.000000e+00
## self_esteem                      0.000000e+00   0.000000e+00  0.000000e+00
## mental_health_history            0.000000e+00   0.000000e+00  0.000000e+00
## depression                       0.000000e+00   0.000000e+00  0.000000e+00
## headache                                   NA   0.000000e+00  0.000000e+00
## blood_pressure                   0.000000e+00             NA  0.000000e+00
## sleep_quality                    0.000000e+00   0.000000e+00            NA
## breathing_problem                0.000000e+00   6.198759e-08  0.000000e+00
## noise_level                      0.000000e+00   0.000000e+00  0.000000e+00
## living_conditions                0.000000e+00   0.000000e+00  0.000000e+00
## safety                           0.000000e+00   0.000000e+00  0.000000e+00
## basic_needs                      0.000000e+00   0.000000e+00  0.000000e+00
## academic_performance             0.000000e+00   0.000000e+00  0.000000e+00
## study_load                       0.000000e+00   0.000000e+00  0.000000e+00
## teacher_student_relationship     0.000000e+00   0.000000e+00  0.000000e+00
## future_career_concerns           0.000000e+00   0.000000e+00  0.000000e+00
## social_support                   0.000000e+00   0.000000e+00  0.000000e+00
## peer_pressure                    0.000000e+00   0.000000e+00  0.000000e+00
## extracurricular_activities       0.000000e+00   0.000000e+00  0.000000e+00
## bullying                         0.000000e+00   0.000000e+00  0.000000e+00
## stress_level                     0.000000e+00   0.000000e+00  0.000000e+00
## log_anxiety_level                0.000000e+00   1.551266e-02  0.000000e+00
## log_self_esteem                  0.000000e+00   0.000000e+00  0.000000e+00
## log_depression                   0.000000e+00   3.318063e-02  0.000000e+00
## log_headache                     0.000000e+00   1.412135e-02  1.707708e-09
## log_blood_pressure               0.000000e+00   0.000000e+00  1.741896e-11
## log_sleep_quality                3.286651e-09   0.000000e+00  0.000000e+00
## log_breathing_problem            2.618160e-02   5.754890e-07  5.563403e-07
## log_noise_level                  6.160306e-03   9.191622e-04  8.594197e-07
## log_living_conditions            1.563194e-13   5.329071e-15  1.398713e-03
## log_safety                       2.499900e-07   0.000000e+00  3.440017e-09
## log_basic_needs                  1.501468e-08   0.000000e+00  6.096973e-05
## log_academic_performance         8.162372e-09   1.332268e-15  3.649769e-11
## log_study_load                   2.315827e-05   5.236943e-04  3.580306e-05
## log_teacher_student_relationship 4.011292e-06   0.000000e+00  2.053824e-08
## log_future_career_concerns       1.855924e-10   1.330284e-01  2.682339e-10
## log_social_support               2.445695e-04   0.000000e+00  5.232600e-02
## log_peer_pressure                2.048028e-11   2.116848e-03  2.630815e-07
## log_extracurricular_activities   4.950885e-05   1.204193e-02  4.877920e-05
## log_bullying                     5.427379e-06   1.576534e-03  2.220446e-16
## log_stress_level                 0.000000e+00   3.361603e-01  0.000000e+00
##                                  breathing_problem  noise_level
## anxiety_level                         0.000000e+00 0.000000e+00
## self_esteem                           0.000000e+00 0.000000e+00
## mental_health_history                 0.000000e+00 0.000000e+00
## depression                            0.000000e+00 0.000000e+00
## headache                              0.000000e+00 0.000000e+00
## blood_pressure                        6.198759e-08 0.000000e+00
## sleep_quality                         0.000000e+00 0.000000e+00
## breathing_problem                               NA 0.000000e+00
## noise_level                           0.000000e+00           NA
## living_conditions                     0.000000e+00 0.000000e+00
## safety                                0.000000e+00 0.000000e+00
## basic_needs                           0.000000e+00 0.000000e+00
## academic_performance                  0.000000e+00 0.000000e+00
## study_load                            0.000000e+00 0.000000e+00
## teacher_student_relationship          0.000000e+00 0.000000e+00
## future_career_concerns                0.000000e+00 0.000000e+00
## social_support                        0.000000e+00 0.000000e+00
## peer_pressure                         0.000000e+00 0.000000e+00
## extracurricular_activities            0.000000e+00 0.000000e+00
## bullying                              0.000000e+00 0.000000e+00
## stress_level                          0.000000e+00 0.000000e+00
## log_anxiety_level                     0.000000e+00 0.000000e+00
## log_self_esteem                       0.000000e+00 0.000000e+00
## log_depression                        2.220446e-16 0.000000e+00
## log_headache                          4.636365e-07 1.043921e-11
## log_blood_pressure                    3.817281e-03 0.000000e+00
## log_sleep_quality                     4.384755e-05 1.140286e-06
## log_breathing_problem                 0.000000e+00 2.168834e-07
## log_noise_level                       7.988139e-10 0.000000e+00
## log_living_conditions                 5.121495e-01 8.577771e-04
## log_safety                            3.274627e-05 9.389303e-04
## log_basic_needs                       1.446368e-02 1.264508e-06
## log_academic_performance              1.232296e-01 4.043921e-03
## log_study_load                        3.435380e-04 1.816500e-07
## log_teacher_student_relationship      1.442486e-03 9.015695e-04
## log_future_career_concerns            7.822631e-13 1.277932e-05
## log_social_support                    6.298936e-01 1.092439e-02
## log_peer_pressure                     1.956923e-04 5.797141e-12
## log_extracurricular_activities        3.961276e-13 1.540230e-06
## log_bullying                          0.000000e+00 1.279789e-07
## log_stress_level                      0.000000e+00 0.000000e+00
##                                  living_conditions       safety  basic_needs
## anxiety_level                         0.000000e+00 0.000000e+00 0.000000e+00
## self_esteem                           0.000000e+00 0.000000e+00 0.000000e+00
## mental_health_history                 0.000000e+00 0.000000e+00 0.000000e+00
## depression                            0.000000e+00 0.000000e+00 0.000000e+00
## headache                              0.000000e+00 0.000000e+00 0.000000e+00
## blood_pressure                        0.000000e+00 0.000000e+00 0.000000e+00
## sleep_quality                         0.000000e+00 0.000000e+00 0.000000e+00
## breathing_problem                     0.000000e+00 0.000000e+00 0.000000e+00
## noise_level                           0.000000e+00 0.000000e+00 0.000000e+00
## living_conditions                               NA 0.000000e+00 0.000000e+00
## safety                                0.000000e+00           NA 0.000000e+00
## basic_needs                           0.000000e+00 0.000000e+00           NA
## academic_performance                  0.000000e+00 0.000000e+00 0.000000e+00
## study_load                            0.000000e+00 0.000000e+00 0.000000e+00
## teacher_student_relationship          0.000000e+00 0.000000e+00 0.000000e+00
## future_career_concerns                0.000000e+00 0.000000e+00 0.000000e+00
## social_support                        0.000000e+00 0.000000e+00 0.000000e+00
## peer_pressure                         0.000000e+00 0.000000e+00 0.000000e+00
## extracurricular_activities            0.000000e+00 0.000000e+00 0.000000e+00
## bullying                              0.000000e+00 0.000000e+00 0.000000e+00
## stress_level                          0.000000e+00 0.000000e+00 0.000000e+00
## log_anxiety_level                     0.000000e+00 0.000000e+00 0.000000e+00
## log_self_esteem                       1.465494e-14 0.000000e+00 0.000000e+00
## log_depression                        0.000000e+00 0.000000e+00 0.000000e+00
## log_headache                          7.577796e-10 4.017640e-07 1.111447e-09
## log_blood_pressure                    2.626832e-11 1.035160e-09 2.966322e-09
## log_sleep_quality                     1.210143e-12 4.574119e-13 1.148637e-05
## log_breathing_problem                 1.328232e-03 2.026295e-02 3.286809e-02
## log_noise_level                       6.478615e-04 4.900700e-02 6.882808e-05
## log_living_conditions                 0.000000e+00 1.181051e-10 1.857510e-06
## log_safety                            1.644148e-09 0.000000e+00 1.928901e-12
## log_basic_needs                       2.607117e-05 2.086881e-09 0.000000e+00
## log_academic_performance              1.667305e-05 1.110223e-15 5.302837e-09
## log_study_load                        2.494856e-03 1.353845e-01 7.943309e-03
## log_teacher_student_relationship      3.638278e-07 1.113737e-08 2.991873e-09
## log_future_career_concerns            2.992717e-12 2.114842e-11 5.945071e-07
## log_social_support                    2.079244e-03 1.465494e-14 4.539130e-09
## log_peer_pressure                     1.432322e-05 3.463606e-02 1.149175e-05
## log_extracurricular_activities        2.275848e-07 8.113194e-06 8.986867e-01
## log_bullying                          8.809035e-05 1.041923e-09 1.324585e-05
## log_stress_level                      0.000000e+00 0.000000e+00 0.000000e+00
##                                  academic_performance   study_load
## anxiety_level                            0.000000e+00 0.000000e+00
## self_esteem                              0.000000e+00 0.000000e+00
## mental_health_history                    0.000000e+00 0.000000e+00
## depression                               0.000000e+00 0.000000e+00
## headache                                 0.000000e+00 0.000000e+00
## blood_pressure                           0.000000e+00 0.000000e+00
## sleep_quality                            0.000000e+00 0.000000e+00
## breathing_problem                        0.000000e+00 0.000000e+00
## noise_level                              0.000000e+00 0.000000e+00
## living_conditions                        0.000000e+00 0.000000e+00
## safety                                   0.000000e+00 0.000000e+00
## basic_needs                              0.000000e+00 0.000000e+00
## academic_performance                               NA 0.000000e+00
## study_load                               0.000000e+00           NA
## teacher_student_relationship             0.000000e+00 0.000000e+00
## future_career_concerns                   0.000000e+00 0.000000e+00
## social_support                           0.000000e+00 0.000000e+00
## peer_pressure                            0.000000e+00 0.000000e+00
## extracurricular_activities               0.000000e+00 0.000000e+00
## bullying                                 0.000000e+00 0.000000e+00
## stress_level                             0.000000e+00 0.000000e+00
## log_anxiety_level                        0.000000e+00 0.000000e+00
## log_self_esteem                          0.000000e+00 0.000000e+00
## log_depression                           0.000000e+00 0.000000e+00
## log_headache                             4.815817e-09 6.374168e-10
## log_blood_pressure                       1.129691e-07 0.000000e+00
## log_sleep_quality                        0.000000e+00 4.015949e-05
## log_breathing_problem                    3.989983e-04 5.386183e-04
## log_noise_level                          2.066633e-01 6.271925e-03
## log_living_conditions                    3.085065e-04 2.980237e-02
## log_safety                               2.263605e-06 6.877601e-03
## log_basic_needs                          1.993781e-08 1.518864e-05
## log_academic_performance                 0.000000e+00 2.483087e-02
## log_study_load                           2.780953e-03 0.000000e+00
## log_teacher_student_relationship         1.128129e-07 2.853800e-01
## log_future_career_concerns               1.052751e-10 5.320887e-08
## log_social_support                       1.829987e-05 3.865514e-01
## log_peer_pressure                        1.351703e-03 8.911862e-03
## log_extracurricular_activities           1.909277e-03 8.898084e-06
## log_bullying                             1.026734e-12 3.567021e-07
## log_stress_level                         0.000000e+00 0.000000e+00
##                                  teacher_student_relationship
## anxiety_level                                    0.000000e+00
## self_esteem                                      0.000000e+00
## mental_health_history                            0.000000e+00
## depression                                       0.000000e+00
## headache                                         0.000000e+00
## blood_pressure                                   0.000000e+00
## sleep_quality                                    0.000000e+00
## breathing_problem                                0.000000e+00
## noise_level                                      0.000000e+00
## living_conditions                                0.000000e+00
## safety                                           0.000000e+00
## basic_needs                                      0.000000e+00
## academic_performance                             0.000000e+00
## study_load                                       0.000000e+00
## teacher_student_relationship                               NA
## future_career_concerns                           0.000000e+00
## social_support                                   0.000000e+00
## peer_pressure                                    0.000000e+00
## extracurricular_activities                       0.000000e+00
## bullying                                         0.000000e+00
## stress_level                                     0.000000e+00
## log_anxiety_level                                0.000000e+00
## log_self_esteem                                  0.000000e+00
## log_depression                                   0.000000e+00
## log_headache                                     9.707668e-06
## log_blood_pressure                               4.440892e-16
## log_sleep_quality                                0.000000e+00
## log_breathing_problem                            2.034298e-01
## log_noise_level                                  8.462415e-02
## log_living_conditions                            2.220446e-15
## log_safety                                       0.000000e+00
## log_basic_needs                                  0.000000e+00
## log_academic_performance                         0.000000e+00
## log_study_load                                   6.625948e-01
## log_teacher_student_relationship                 0.000000e+00
## log_future_career_concerns                       2.294726e-06
## log_social_support                               0.000000e+00
## log_peer_pressure                                2.455531e-02
## log_extracurricular_activities                   3.173001e-02
## log_bullying                                     1.753272e-04
## log_stress_level                                 0.000000e+00
##                                  future_career_concerns social_support
## anxiety_level                              0.000000e+00   0.0000000000
## self_esteem                                0.000000e+00   0.0000000000
## mental_health_history                      0.000000e+00   0.0000000000
## depression                                 0.000000e+00   0.0000000000
## headache                                   0.000000e+00   0.0000000000
## blood_pressure                             0.000000e+00   0.0000000000
## sleep_quality                              0.000000e+00   0.0000000000
## breathing_problem                          0.000000e+00   0.0000000000
## noise_level                                0.000000e+00   0.0000000000
## living_conditions                          0.000000e+00   0.0000000000
## safety                                     0.000000e+00   0.0000000000
## basic_needs                                0.000000e+00   0.0000000000
## academic_performance                       0.000000e+00   0.0000000000
## study_load                                 0.000000e+00   0.0000000000
## teacher_student_relationship               0.000000e+00   0.0000000000
## future_career_concerns                               NA   0.0000000000
## social_support                             0.000000e+00             NA
## peer_pressure                              0.000000e+00   0.0000000000
## extracurricular_activities                 0.000000e+00   0.0000000000
## bullying                                   0.000000e+00   0.0000000000
## stress_level                               0.000000e+00   0.0000000000
## log_anxiety_level                          0.000000e+00   0.0000000000
## log_self_esteem                            0.000000e+00   0.0000000000
## log_depression                             0.000000e+00   0.0000000000
## log_headache                               0.000000e+00   0.1843319332
## log_blood_pressure                         0.000000e+00   0.0000000000
## log_sleep_quality                          1.731908e-10   0.0000000000
## log_breathing_problem                      1.276768e-04   0.0000020784
## log_noise_level                            1.121758e-04   0.0011273754
## log_living_conditions                      2.358005e-06   0.0000000000
## log_safety                                 1.089420e-07   0.0000000000
## log_basic_needs                            3.020470e-06   0.0000000000
## log_academic_performance                   1.403787e-07   0.0000000000
## log_study_load                             9.715112e-03   0.0003934944
## log_teacher_student_relationship           2.397715e-07   0.0000000000
## log_future_career_concerns                 0.000000e+00   0.5766111343
## log_social_support                         1.553019e-03   0.0000000000
## log_peer_pressure                          1.181319e-06   0.0007426937
## log_extracurricular_activities             7.373982e-09   0.0105107538
## log_bullying                               3.698220e-11   0.0540651262
## log_stress_level                           0.000000e+00   0.0000000000
##                                  peer_pressure extracurricular_activities
## anxiety_level                     0.000000e+00               0.000000e+00
## self_esteem                       0.000000e+00               0.000000e+00
## mental_health_history             0.000000e+00               0.000000e+00
## depression                        0.000000e+00               0.000000e+00
## headache                          0.000000e+00               0.000000e+00
## blood_pressure                    0.000000e+00               0.000000e+00
## sleep_quality                     0.000000e+00               0.000000e+00
## breathing_problem                 0.000000e+00               0.000000e+00
## noise_level                       0.000000e+00               0.000000e+00
## living_conditions                 0.000000e+00               0.000000e+00
## safety                            0.000000e+00               0.000000e+00
## basic_needs                       0.000000e+00               0.000000e+00
## academic_performance              0.000000e+00               0.000000e+00
## study_load                        0.000000e+00               0.000000e+00
## teacher_student_relationship      0.000000e+00               0.000000e+00
## future_career_concerns            0.000000e+00               0.000000e+00
## social_support                    0.000000e+00               0.000000e+00
## peer_pressure                               NA               0.000000e+00
## extracurricular_activities        0.000000e+00                         NA
## bullying                          0.000000e+00               0.000000e+00
## stress_level                      0.000000e+00               0.000000e+00
## log_anxiety_level                 0.000000e+00               0.000000e+00
## log_self_esteem                   0.000000e+00               0.000000e+00
## log_depression                    0.000000e+00               0.000000e+00
## log_headache                      7.105427e-15               8.792522e-12
## log_blood_pressure                0.000000e+00               0.000000e+00
## log_sleep_quality                 4.405243e-08               8.340289e-06
## log_breathing_problem             3.385101e-07               4.041901e-09
## log_noise_level                   1.119105e-13               1.433849e-09
## log_living_conditions             5.921360e-03               6.121998e-04
## log_safety                        2.051791e-03               7.640077e-04
## log_basic_needs                   1.353377e-05               1.772165e-01
## log_academic_performance          3.957194e-06               1.135978e-07
## log_study_load                    5.324094e-07               2.479728e-08
## log_teacher_student_relationship  1.528706e-06               2.347485e-06
## log_future_career_concerns        1.421085e-14               0.000000e+00
## log_social_support                7.353603e-01               2.213750e-01
## log_peer_pressure                 0.000000e+00               1.054246e-09
## log_extracurricular_activities    1.763611e-11               0.000000e+00
## log_bullying                      1.265654e-14               3.276453e-09
## log_stress_level                  0.000000e+00               0.000000e+00
##                                      bullying stress_level log_anxiety_level
## anxiety_level                    0.000000e+00 0.000000e+00      0.000000e+00
## self_esteem                      0.000000e+00 0.000000e+00      0.000000e+00
## mental_health_history            0.000000e+00 0.000000e+00      0.000000e+00
## depression                       0.000000e+00 0.000000e+00      0.000000e+00
## headache                         0.000000e+00 0.000000e+00      0.000000e+00
## blood_pressure                   0.000000e+00 0.000000e+00      1.551266e-02
## sleep_quality                    0.000000e+00 0.000000e+00      0.000000e+00
## breathing_problem                0.000000e+00 0.000000e+00      0.000000e+00
## noise_level                      0.000000e+00 0.000000e+00      0.000000e+00
## living_conditions                0.000000e+00 0.000000e+00      0.000000e+00
## safety                           0.000000e+00 0.000000e+00      0.000000e+00
## basic_needs                      0.000000e+00 0.000000e+00      0.000000e+00
## academic_performance             0.000000e+00 0.000000e+00      0.000000e+00
## study_load                       0.000000e+00 0.000000e+00      0.000000e+00
## teacher_student_relationship     0.000000e+00 0.000000e+00      0.000000e+00
## future_career_concerns           0.000000e+00 0.000000e+00      0.000000e+00
## social_support                   0.000000e+00 0.000000e+00      0.000000e+00
## peer_pressure                    0.000000e+00 0.000000e+00      0.000000e+00
## extracurricular_activities       0.000000e+00 0.000000e+00      0.000000e+00
## bullying                                   NA 0.000000e+00      0.000000e+00
## stress_level                     0.000000e+00           NA      0.000000e+00
## log_anxiety_level                0.000000e+00 0.000000e+00                NA
## log_self_esteem                  0.000000e+00 0.000000e+00      2.457321e-06
## log_depression                   0.000000e+00 0.000000e+00      4.796163e-14
## log_headache                     1.259144e-09 9.992007e-15      4.447140e-03
## log_blood_pressure               0.000000e+00 0.000000e+00      6.943953e-01
## log_sleep_quality                5.484946e-12 1.680878e-13      8.820254e-06
## log_breathing_problem            1.722298e-10 7.274289e-09      5.735267e-02
## log_noise_level                  7.137472e-08 2.394529e-12      4.059581e-02
## log_living_conditions            7.173013e-03 3.981326e-05      2.356407e-03
## log_safety                       3.551918e-09 9.065415e-12      9.964353e-04
## log_basic_needs                  5.152456e-11 9.056005e-10      5.745118e-02
## log_academic_performance         3.502848e-07 1.245729e-09      9.512042e-03
## log_study_load                   2.474658e-09 4.143148e-10      5.762577e-02
## log_teacher_student_relationship 1.151838e-06 1.957719e-03      5.773543e-04
## log_future_career_concerns       2.731149e-14 2.402620e-10      5.461194e-06
## log_social_support               5.720946e-04 8.717001e-05      6.721849e-03
## log_peer_pressure                3.523324e-07 2.649925e-11      7.264967e-02
## log_extracurricular_activities   2.861043e-08 4.479632e-08      8.349001e-02
## log_bullying                     0.000000e+00 5.218048e-14      4.408007e-04
## log_stress_level                 0.000000e+00 0.000000e+00      0.000000e+00
##                                  log_self_esteem log_depression log_headache
## anxiety_level                       0.000000e+00   0.000000e+00 2.226071e-09
## self_esteem                         0.000000e+00   0.000000e+00 5.276210e-04
## mental_health_history               0.000000e+00   0.000000e+00 1.998401e-15
## depression                          0.000000e+00   0.000000e+00 5.596856e-12
## headache                            0.000000e+00   0.000000e+00 0.000000e+00
## blood_pressure                      0.000000e+00   3.318063e-02 1.412135e-02
## sleep_quality                       0.000000e+00   0.000000e+00 1.707708e-09
## breathing_problem                   0.000000e+00   2.220446e-16 4.636365e-07
## noise_level                         0.000000e+00   0.000000e+00 1.043921e-11
## living_conditions                   1.465494e-14   0.000000e+00 7.577796e-10
## safety                              0.000000e+00   0.000000e+00 4.017640e-07
## basic_needs                         0.000000e+00   0.000000e+00 1.111447e-09
## academic_performance                0.000000e+00   0.000000e+00 4.815817e-09
## study_load                          0.000000e+00   0.000000e+00 6.374168e-10
## teacher_student_relationship        0.000000e+00   0.000000e+00 9.707668e-06
## future_career_concerns              0.000000e+00   0.000000e+00 0.000000e+00
## social_support                      0.000000e+00   0.000000e+00 1.843319e-01
## peer_pressure                       0.000000e+00   0.000000e+00 7.105427e-15
## extracurricular_activities          0.000000e+00   0.000000e+00 8.792522e-12
## bullying                            0.000000e+00   0.000000e+00 1.259144e-09
## stress_level                        0.000000e+00   0.000000e+00 9.992007e-15
## log_anxiety_level                   2.457321e-06   4.796163e-14 4.447140e-03
## log_self_esteem                               NA   2.589570e-06 1.042762e-01
## log_depression                      2.589570e-06             NA 6.990648e-05
## log_headache                        1.042762e-01   6.990648e-05           NA
## log_blood_pressure                  0.000000e+00   8.113139e-01 2.255670e-03
## log_sleep_quality                   2.645341e-03   4.495000e-04 7.509018e-05
## log_breathing_problem               1.382005e-01   2.386061e-01 3.509076e-04
## log_noise_level                     8.184893e-01   1.000669e-02 9.265043e-06
## log_living_conditions               1.090508e-01   1.669142e-01 2.853207e-01
## log_safety                          3.460961e-03   1.507829e-01 1.954523e-01
## log_basic_needs                     3.741103e-02   7.720994e-01 3.496280e-02
## log_academic_performance            1.468074e-03   4.177162e-03 1.845758e-01
## log_study_load                      8.732849e-02   2.047525e-01 3.730309e-10
## log_teacher_student_relationship    3.860069e-03   1.435842e-04 2.616640e-01
## log_future_career_concerns          3.976511e-03   6.161032e-04 1.953993e-14
## log_social_support                  3.585332e-02   2.834501e-01 1.803002e-13
## log_peer_pressure                   1.354652e-01   3.359604e-03 1.048717e-12
## log_extracurricular_activities      2.221487e-03   1.046595e-04 3.812506e-13
## log_bullying                        1.307698e-02   1.173267e-02 2.520828e-11
## log_stress_level                    3.108624e-15   0.000000e+00 3.366196e-13
##                                  log_blood_pressure log_sleep_quality
## anxiety_level                          1.776357e-15      2.220446e-16
## self_esteem                            0.000000e+00      0.000000e+00
## mental_health_history                  9.325873e-13      6.779083e-07
## depression                             0.000000e+00      1.776357e-15
## headache                               0.000000e+00      3.286651e-09
## blood_pressure                         0.000000e+00      0.000000e+00
## sleep_quality                          1.741896e-11      0.000000e+00
## breathing_problem                      3.817281e-03      4.384755e-05
## noise_level                            0.000000e+00      1.140286e-06
## living_conditions                      2.626832e-11      1.210143e-12
## safety                                 1.035160e-09      4.574119e-13
## basic_needs                            2.966322e-09      1.148637e-05
## academic_performance                   1.129691e-07      0.000000e+00
## study_load                             0.000000e+00      4.015949e-05
## teacher_student_relationship           4.440892e-16      0.000000e+00
## future_career_concerns                 0.000000e+00      1.731908e-10
## social_support                         0.000000e+00      0.000000e+00
## peer_pressure                          0.000000e+00      4.405243e-08
## extracurricular_activities             0.000000e+00      8.340289e-06
## bullying                               0.000000e+00      5.484946e-12
## stress_level                           0.000000e+00      1.680878e-13
## log_anxiety_level                      6.943953e-01      8.820254e-06
## log_self_esteem                        0.000000e+00      2.645341e-03
## log_depression                         8.113139e-01      4.495000e-04
## log_headache                           2.255670e-03      7.509018e-05
## log_blood_pressure                               NA      4.440892e-16
## log_sleep_quality                      4.440892e-16                NA
## log_breathing_problem                  2.664327e-07      3.970425e-02
## log_noise_level                        3.942851e-04      1.577463e-02
## log_living_conditions                  8.271606e-12      5.152047e-09
## log_safety                             8.273382e-13      1.041034e-11
## log_basic_needs                        8.815171e-14      1.756111e-01
## log_academic_performance               1.425371e-11      0.000000e+00
## log_study_load                         2.560068e-04      4.183575e-07
## log_teacher_student_relationship       1.332268e-15      1.776357e-15
## log_future_career_concerns             2.888850e-02      2.094287e-02
## log_social_support                     0.000000e+00      4.440892e-16
## log_peer_pressure                      1.099455e-03      1.623336e-03
## log_extracurricular_activities         5.305300e-03      4.598656e-08
## log_bullying                           2.529624e-04      7.053160e-02
## log_stress_level                       2.436606e-03      5.549273e-09
##                                  log_breathing_problem log_noise_level
## anxiety_level                             5.432706e-07    4.954850e-10
## self_esteem                               2.531755e-03    3.745553e-02
## mental_health_history                     4.377124e-03    5.014903e-04
## depression                                3.757841e-03    6.264728e-04
## headache                                  2.618160e-02    6.160306e-03
## blood_pressure                            5.754890e-07    9.191622e-04
## sleep_quality                             5.563403e-07    8.594197e-07
## breathing_problem                         0.000000e+00    7.988139e-10
## noise_level                               2.168834e-07    0.000000e+00
## living_conditions                         1.328232e-03    6.478615e-04
## safety                                    2.026295e-02    4.900700e-02
## basic_needs                               3.286809e-02    6.882808e-05
## academic_performance                      3.989983e-04    2.066633e-01
## study_load                                5.386183e-04    6.271925e-03
## teacher_student_relationship              2.034298e-01    8.462415e-02
## future_career_concerns                    1.276768e-04    1.121758e-04
## social_support                            2.078400e-06    1.127375e-03
## peer_pressure                             3.385101e-07    1.119105e-13
## extracurricular_activities                4.041901e-09    1.433849e-09
## bullying                                  1.722298e-10    7.137472e-08
## stress_level                              7.274289e-09    2.394529e-12
## log_anxiety_level                         5.735267e-02    4.059581e-02
## log_self_esteem                           1.382005e-01    8.184893e-01
## log_depression                            2.386061e-01    1.000669e-02
## log_headache                              3.509076e-04    9.265043e-06
## log_blood_pressure                        2.664327e-07    3.942851e-04
## log_sleep_quality                         3.970425e-02    1.577463e-02
## log_breathing_problem                               NA    0.000000e+00
## log_noise_level                           0.000000e+00              NA
## log_living_conditions                     8.122836e-12    2.753241e-04
## log_safety                                4.069535e-03    4.077957e-06
## log_basic_needs                           1.384736e-06    8.539965e-02
## log_academic_performance                  8.534510e-06    6.133352e-10
## log_study_load                            2.704214e-05    5.255168e-05
## log_teacher_student_relationship          5.735550e-03    5.838560e-06
## log_future_career_concerns                1.119258e-05    8.040107e-04
## log_social_support                        8.881784e-16    1.589839e-13
## log_peer_pressure                         1.871910e-04    0.000000e+00
## log_extracurricular_activities            4.384049e-12    4.884981e-15
## log_bullying                              4.440892e-16    1.652686e-08
## log_stress_level                          8.935701e-09    1.322409e-11
##                                  log_living_conditions   log_safety
## anxiety_level                             2.318690e-06 5.184137e-07
## self_esteem                               1.835261e-08 8.951062e-12
## mental_health_history                     1.072211e-07 2.026963e-03
## depression                                1.323403e-05 3.593604e-09
## headache                                  1.563194e-13 2.499900e-07
## blood_pressure                            5.329071e-15 0.000000e+00
## sleep_quality                             1.398713e-03 3.440017e-09
## breathing_problem                         5.121495e-01 3.274627e-05
## noise_level                               8.577771e-04 9.389303e-04
## living_conditions                         0.000000e+00 1.644148e-09
## safety                                    1.181051e-10 0.000000e+00
## basic_needs                               1.857510e-06 1.928901e-12
## academic_performance                      3.085065e-04 2.263605e-06
## study_load                                2.980237e-02 6.877601e-03
## teacher_student_relationship              2.220446e-15 0.000000e+00
## future_career_concerns                    2.358005e-06 1.089420e-07
## social_support                            0.000000e+00 0.000000e+00
## peer_pressure                             5.921360e-03 2.051791e-03
## extracurricular_activities                6.121998e-04 7.640077e-04
## bullying                                  7.173013e-03 3.551918e-09
## stress_level                              3.981326e-05 9.065415e-12
## log_anxiety_level                         2.356407e-03 9.964353e-04
## log_self_esteem                           1.090508e-01 3.460961e-03
## log_depression                            1.669142e-01 1.507829e-01
## log_headache                              2.853207e-01 1.954523e-01
## log_blood_pressure                        8.271606e-12 8.273382e-13
## log_sleep_quality                         5.152047e-09 1.041034e-11
## log_breathing_problem                     8.122836e-12 4.069535e-03
## log_noise_level                           2.753241e-04 4.077957e-06
## log_living_conditions                               NA 1.250111e-13
## log_safety                                1.250111e-13           NA
## log_basic_needs                           1.264865e-07 9.232615e-13
## log_academic_performance                  1.264239e-03 1.913363e-04
## log_study_load                            7.342171e-11 2.996412e-06
## log_teacher_student_relationship          2.220446e-14 1.484732e-10
## log_future_career_concerns                6.903008e-01 7.244688e-02
## log_social_support                        0.000000e+00 0.000000e+00
## log_peer_pressure                         6.959396e-02 6.365825e-06
## log_extracurricular_activities            2.162086e-05 4.119749e-05
## log_bullying                              1.183977e-09 8.405209e-01
## log_stress_level                          1.573470e-03 9.192442e-10
##                                  log_basic_needs log_academic_performance
## anxiety_level                       4.195376e-03             1.276761e-07
## self_esteem                         3.950356e-10             1.896172e-11
## mental_health_history               5.756562e-09             1.736552e-05
## depression                          5.137013e-06             5.341658e-09
## headache                            1.501468e-08             8.162372e-09
## blood_pressure                      0.000000e+00             1.332268e-15
## sleep_quality                       6.096973e-05             3.649769e-11
## breathing_problem                   1.446368e-02             1.232296e-01
## noise_level                         1.264508e-06             4.043921e-03
## living_conditions                   2.607117e-05             1.667305e-05
## safety                              2.086881e-09             1.110223e-15
## basic_needs                         0.000000e+00             5.302837e-09
## academic_performance                1.993781e-08             0.000000e+00
## study_load                          1.518864e-05             2.483087e-02
## teacher_student_relationship        0.000000e+00             0.000000e+00
## future_career_concerns              3.020470e-06             1.403787e-07
## social_support                      0.000000e+00             0.000000e+00
## peer_pressure                       1.353377e-05             3.957194e-06
## extracurricular_activities          1.772165e-01             1.135978e-07
## bullying                            5.152456e-11             3.502848e-07
## stress_level                        9.056005e-10             1.245729e-09
## log_anxiety_level                   5.745118e-02             9.512042e-03
## log_self_esteem                     3.741103e-02             1.468074e-03
## log_depression                      7.720994e-01             4.177162e-03
## log_headache                        3.496280e-02             1.845758e-01
## log_blood_pressure                  8.815171e-14             1.425371e-11
## log_sleep_quality                   1.756111e-01             0.000000e+00
## log_breathing_problem               1.384736e-06             8.534510e-06
## log_noise_level                     8.539965e-02             6.133352e-10
## log_living_conditions               1.264865e-07             1.264239e-03
## log_safety                          9.232615e-13             1.913363e-04
## log_basic_needs                               NA             8.290334e-05
## log_academic_performance            8.290334e-05                       NA
## log_study_load                      5.887966e-03             8.199694e-09
## log_teacher_student_relationship    0.000000e+00             2.228211e-09
## log_future_career_concerns          6.154914e-04             1.279167e-01
## log_social_support                  0.000000e+00             3.552714e-15
## log_peer_pressure                   1.395094e-02             5.668293e-02
## log_extracurricular_activities      3.734790e-13             5.638996e-03
## log_bullying                        2.512132e-01             3.554775e-01
## log_stress_level                    1.326121e-08             1.186921e-07
##                                  log_study_load
## anxiety_level                      7.000533e-08
## self_esteem                        4.525516e-05
## mental_health_history              2.519131e-07
## depression                         5.246957e-06
## headache                           2.315827e-05
## blood_pressure                     5.236943e-04
## sleep_quality                      3.580306e-05
## breathing_problem                  3.435380e-04
## noise_level                        1.816500e-07
## living_conditions                  2.494856e-03
## safety                             1.353845e-01
## basic_needs                        7.943309e-03
## academic_performance               2.780953e-03
## study_load                         0.000000e+00
## teacher_student_relationship       6.625948e-01
## future_career_concerns             9.715112e-03
## social_support                     3.934944e-04
## peer_pressure                      5.324094e-07
## extracurricular_activities         2.479728e-08
## bullying                           2.474658e-09
## stress_level                       4.143148e-10
## log_anxiety_level                  5.762577e-02
## log_self_esteem                    8.732849e-02
## log_depression                     2.047525e-01
## log_headache                       3.730309e-10
## log_blood_pressure                 2.560068e-04
## log_sleep_quality                  4.183575e-07
## log_breathing_problem              2.704214e-05
## log_noise_level                    5.255168e-05
## log_living_conditions              7.342171e-11
## log_safety                         2.996412e-06
## log_basic_needs                    5.887966e-03
## log_academic_performance           8.199694e-09
## log_study_load                               NA
## log_teacher_student_relationship   0.000000e+00
## log_future_career_concerns         1.384420e-03
## log_social_support                 1.154632e-14
## log_peer_pressure                  2.523350e-02
## log_extracurricular_activities     1.049516e-11
## log_bullying                       1.807969e-08
## log_stress_level                   1.300822e-09
##                                  log_teacher_student_relationship
## anxiety_level                                        3.874482e-07
## self_esteem                                          8.632550e-10
## mental_health_history                                3.116768e-06
## depression                                           5.545409e-11
## headache                                             4.011292e-06
## blood_pressure                                       0.000000e+00
## sleep_quality                                        2.053824e-08
## breathing_problem                                    1.442486e-03
## noise_level                                          9.015695e-04
## living_conditions                                    3.638278e-07
## safety                                               1.113737e-08
## basic_needs                                          2.991873e-09
## academic_performance                                 1.128129e-07
## study_load                                           2.853800e-01
## teacher_student_relationship                         0.000000e+00
## future_career_concerns                               2.397715e-07
## social_support                                       0.000000e+00
## peer_pressure                                        1.528706e-06
## extracurricular_activities                           2.347485e-06
## bullying                                             1.151838e-06
## stress_level                                         1.957719e-03
## log_anxiety_level                                    5.773543e-04
## log_self_esteem                                      3.860069e-03
## log_depression                                       1.435842e-04
## log_headache                                         2.616640e-01
## log_blood_pressure                                   1.332268e-15
## log_sleep_quality                                    1.776357e-15
## log_breathing_problem                                5.735550e-03
## log_noise_level                                      5.838560e-06
## log_living_conditions                                2.220446e-14
## log_safety                                           1.484732e-10
## log_basic_needs                                      0.000000e+00
## log_academic_performance                             2.228211e-09
## log_study_load                                       0.000000e+00
## log_teacher_student_relationship                               NA
## log_future_career_concerns                           1.674468e-03
## log_social_support                                   0.000000e+00
## log_peer_pressure                                    1.195237e-02
## log_extracurricular_activities                       1.780695e-01
## log_bullying                                         2.676925e-04
## log_stress_level                                     5.678757e-03
##                                  log_future_career_concerns log_social_support
## anxiety_level                                  0.000000e+00       5.932612e-06
## self_esteem                                    3.668177e-13       4.395198e-10
## mental_health_history                          1.688627e-11       5.658584e-02
## depression                                     1.887663e-10       1.671042e-04
## headache                                       1.855924e-10       2.445695e-04
## blood_pressure                                 1.330284e-01       0.000000e+00
## sleep_quality                                  2.682339e-10       5.232600e-02
## breathing_problem                              7.822631e-13       6.298936e-01
## noise_level                                    1.277932e-05       1.092439e-02
## living_conditions                              2.992717e-12       2.079244e-03
## safety                                         2.114842e-11       1.465494e-14
## basic_needs                                    5.945071e-07       4.539130e-09
## academic_performance                           1.052751e-10       1.829987e-05
## study_load                                     5.320887e-08       3.865514e-01
## teacher_student_relationship                   2.294726e-06       0.000000e+00
## future_career_concerns                         0.000000e+00       1.553019e-03
## social_support                                 5.766111e-01       0.000000e+00
## peer_pressure                                  1.421085e-14       7.353603e-01
## extracurricular_activities                     0.000000e+00       2.213750e-01
## bullying                                       2.731149e-14       5.720946e-04
## stress_level                                   2.402620e-10       8.717001e-05
## log_anxiety_level                              5.461194e-06       6.721849e-03
## log_self_esteem                                3.976511e-03       3.585332e-02
## log_depression                                 6.161032e-04       2.834501e-01
## log_headache                                   1.953993e-14       1.803002e-13
## log_blood_pressure                             2.888850e-02       0.000000e+00
## log_sleep_quality                              2.094287e-02       4.440892e-16
## log_breathing_problem                          1.119258e-05       8.881784e-16
## log_noise_level                                8.040107e-04       1.589839e-13
## log_living_conditions                          6.903008e-01       0.000000e+00
## log_safety                                     7.244688e-02       0.000000e+00
## log_basic_needs                                6.154914e-04       0.000000e+00
## log_academic_performance                       1.279167e-01       3.552714e-15
## log_study_load                                 1.384420e-03       1.154632e-14
## log_teacher_student_relationship               1.674468e-03       0.000000e+00
## log_future_career_concerns                               NA       1.221245e-13
## log_social_support                             1.221245e-13                 NA
## log_peer_pressure                              7.761657e-07       1.110223e-15
## log_extracurricular_activities                 7.338574e-13       2.859935e-13
## log_bullying                                   3.061793e-09       8.741718e-11
## log_stress_level                               5.387057e-10       3.575099e-04
##                                  log_peer_pressure
## anxiety_level                         3.626711e-08
## self_esteem                           1.001677e-02
## mental_health_history                 4.287706e-09
## depression                            2.793119e-07
## headache                              2.048028e-11
## blood_pressure                        2.116848e-03
## sleep_quality                         2.630815e-07
## breathing_problem                     1.956923e-04
## noise_level                           5.797141e-12
## living_conditions                     1.432322e-05
## safety                                3.463606e-02
## basic_needs                           1.149175e-05
## academic_performance                  1.351703e-03
## study_load                            8.911862e-03
## teacher_student_relationship          2.455531e-02
## future_career_concerns                1.181319e-06
## social_support                        7.426937e-04
## peer_pressure                         0.000000e+00
## extracurricular_activities            1.054246e-09
## bullying                              3.523324e-07
## stress_level                          2.649925e-11
## log_anxiety_level                     7.264967e-02
## log_self_esteem                       1.354652e-01
## log_depression                        3.359604e-03
## log_headache                          1.048717e-12
## log_blood_pressure                    1.099455e-03
## log_sleep_quality                     1.623336e-03
## log_breathing_problem                 1.871910e-04
## log_noise_level                       0.000000e+00
## log_living_conditions                 6.959396e-02
## log_safety                            6.365825e-06
## log_basic_needs                       1.395094e-02
## log_academic_performance              5.668293e-02
## log_study_load                        2.523350e-02
## log_teacher_student_relationship      1.195237e-02
## log_future_career_concerns            7.761657e-07
## log_social_support                    1.110223e-15
## log_peer_pressure                               NA
## log_extracurricular_activities        1.971756e-13
## log_bullying                          5.964513e-09
## log_stress_level                      7.489480e-10
##                                  log_extracurricular_activities log_bullying
## anxiety_level                                      5.034525e-08 6.352918e-12
## self_esteem                                        8.686245e-07 1.056847e-04
## mental_health_history                              3.093265e-05 4.390398e-09
## depression                                         1.292080e-06 4.929273e-07
## headache                                           4.950885e-05 5.427379e-06
## blood_pressure                                     1.204193e-02 1.576534e-03
## sleep_quality                                      4.877920e-05 2.220446e-16
## breathing_problem                                  3.961276e-13 0.000000e+00
## noise_level                                        1.540230e-06 1.279789e-07
## living_conditions                                  2.275848e-07 8.809035e-05
## safety                                             8.113194e-06 1.041923e-09
## basic_needs                                        8.986867e-01 1.324585e-05
## academic_performance                               1.909277e-03 1.026734e-12
## study_load                                         8.898084e-06 3.567021e-07
## teacher_student_relationship                       3.173001e-02 1.753272e-04
## future_career_concerns                             7.373982e-09 3.698220e-11
## social_support                                     1.051075e-02 5.406513e-02
## peer_pressure                                      1.763611e-11 1.265654e-14
## extracurricular_activities                         0.000000e+00 3.276453e-09
## bullying                                           2.861043e-08 0.000000e+00
## stress_level                                       4.479632e-08 5.218048e-14
## log_anxiety_level                                  8.349001e-02 4.408007e-04
## log_self_esteem                                    2.221487e-03 1.307698e-02
## log_depression                                     1.046595e-04 1.173267e-02
## log_headache                                       3.812506e-13 2.520828e-11
## log_blood_pressure                                 5.305300e-03 2.529624e-04
## log_sleep_quality                                  4.598656e-08 7.053160e-02
## log_breathing_problem                              4.384049e-12 4.440892e-16
## log_noise_level                                    4.884981e-15 1.652686e-08
## log_living_conditions                              2.162086e-05 1.183977e-09
## log_safety                                         4.119749e-05 8.405209e-01
## log_basic_needs                                    3.734790e-13 2.512132e-01
## log_academic_performance                           5.638996e-03 3.554775e-01
## log_study_load                                     1.049516e-11 1.807969e-08
## log_teacher_student_relationship                   1.780695e-01 2.676925e-04
## log_future_career_concerns                         7.338574e-13 3.061793e-09
## log_social_support                                 2.859935e-13 8.741718e-11
## log_peer_pressure                                  1.971756e-13 5.964513e-09
## log_extracurricular_activities                               NA 3.949462e-07
## log_bullying                                       3.949462e-07           NA
## log_stress_level                                   3.307905e-07 3.090861e-13
##                                  log_stress_level
## anxiety_level                        0.000000e+00
## self_esteem                          0.000000e+00
## mental_health_history                0.000000e+00
## depression                           0.000000e+00
## headache                             0.000000e+00
## blood_pressure                       3.361603e-01
## sleep_quality                        0.000000e+00
## breathing_problem                    0.000000e+00
## noise_level                          0.000000e+00
## living_conditions                    0.000000e+00
## safety                               0.000000e+00
## basic_needs                          0.000000e+00
## academic_performance                 0.000000e+00
## study_load                           0.000000e+00
## teacher_student_relationship         0.000000e+00
## future_career_concerns               0.000000e+00
## social_support                       0.000000e+00
## peer_pressure                        0.000000e+00
## extracurricular_activities           0.000000e+00
## bullying                             0.000000e+00
## stress_level                         0.000000e+00
## log_anxiety_level                    0.000000e+00
## log_self_esteem                      3.108624e-15
## log_depression                       0.000000e+00
## log_headache                         3.366196e-13
## log_blood_pressure                   2.436606e-03
## log_sleep_quality                    5.549273e-09
## log_breathing_problem                8.935701e-09
## log_noise_level                      1.322409e-11
## log_living_conditions                1.573470e-03
## log_safety                           9.192442e-10
## log_basic_needs                      1.326121e-08
## log_academic_performance             1.186921e-07
## log_study_load                       1.300822e-09
## log_teacher_student_relationship     5.678757e-03
## log_future_career_concerns           5.387057e-10
## log_social_support                   3.575099e-04
## log_peer_pressure                    7.489480e-10
## log_extracurricular_activities       3.307905e-07
## log_bullying                         3.090861e-13
## log_stress_level                               NA
# Hitung p-value deviance
deviance_value <- deviance(model)
df_resid <- df.residual(model)
p_value_deviance <- 1 - pchisq(deviance_value, df_resid)

cat("Deviance =", deviance_value, "df =", df_resid, "p-value =", p_value_deviance, "\n")
## Deviance = 585.301 df = 859 p-value = 1
# Hitung p-value Pearson
pearson_stat <- sum(residuals(model, type = "pearson")^2)
p_value_pearson <- 1 - pchisq(pearson_stat, df_resid)

cat("Pearson Chi-square =", pearson_stat, "df =", df_resid, "p-value =", p_value_pearson, "\n")
## Pearson Chi-square = 519.4913 df = 859 p-value = 1

Model Performence

# Prediksi pada data testing
predictions_prob <- predict(model, newdata = test_data, type = "response")
predictions <- ifelse(predictions_prob > 0.5, 1, 0)
# Confusion matrix
conf_matrix <- table(Predicted = predictions, Actual = test_data$mental_health_history)
print("Confusion Matrix:")
## [1] "Confusion Matrix:"
print(conf_matrix)
##          Actual
## Predicted  0  1
##         0 91 26
##         1 27 76
# Akurasi model
accuracy <- sum(diag(conf_matrix)) / sum(conf_matrix)
print(paste("Akurasi model:", round(accuracy * 100, 2), "%"))
## [1] "Akurasi model: 75.91 %"
# Menghitung metrik performa
precision <- conf_matrix[2, 2] / sum(conf_matrix[2, ])
recall <- conf_matrix[2, 2] / sum(conf_matrix[, 2])
f1_score <- 2 * precision * recall / (precision + recall)
specificity <- conf_matrix[1, 1] / sum(conf_matrix[, 1])

print(paste("Precision:", round(precision, 4)))
## [1] "Precision: 0.7379"
print(paste("Recall:", round(recall, 4)))
## [1] "Recall: 0.7451"
print(paste("F1-score:", round(f1_score, 4)))
## [1] "F1-score: 0.7415"
print(paste("Specificity:", round(specificity, 4)))
## [1] "Specificity: 0.7712"
# install.packages("pROC")
# ROC dan AUC
library(pROC)
## Warning: package 'pROC' was built under R version 4.4.3
## Type 'citation("pROC")' for a citation.
## 
## Attaching package: 'pROC'
## The following objects are masked from 'package:stats':
## 
##     cov, smooth, var
roc_obj <- roc(test_data$mental_health_history, predictions_prob)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
auc_value <- auc(roc_obj)
print(paste("AUC:", round(auc_value, 4)))
## [1] "AUC: 0.9005"