Multiple Linear Regression Analysis

1. Introduction

Research Question / Objective

To identify significant predictors of glycemic control, measured by HbA1c levels, among patients with Type 2 diabetes.

Dataset and Variables

set.seed(123)
n <- 1000

# Predictors
age <- rnorm(n, mean = 55, sd = 10)
bmi <- sample(c("underweight", "normal", "overweight", "obese"), 
              n, replace = TRUE, prob = c(0.1, 0.4, 0.3, 0.2))
duration_diabetes <- rnorm(n, mean = 10, sd = 5)

# Outcome (HbA1c)
hba1c <- 4 + 
  0.05 * age + 
  ifelse(bmi == "underweight", 0,
         ifelse(bmi == "normal", 0.5,
                ifelse(bmi == "overweight", 1, 1.5))) + 
  0.1 * duration_diabetes + 
  rnorm(n, mean = 0, sd = 1)

# Round values
age <- round(age, 1)
duration_diabetes <- round(duration_diabetes, 1)
hba1c <- round(hba1c, 1)

# Constrain HbA1c between 4 and 14
hba1c <- pmin(pmax(hba1c, 4), 14)

# Final dataset (exclude physical_activity)
diabetes_data <- data.frame(age, bmi, duration_diabetes, hba1c)

# Preview
head(diabetes_data)

##    age        bmi duration_diabetes hba1c
## 1 49.4     normal               5.9   6.9
## 2 52.7     normal               8.5   8.6
## 3 70.6     normal               5.5   7.9
## 4 55.7 overweight              13.1   8.6
## 5 56.3 overweight              15.6  10.1
## 6 72.2 overweight              20.6  10.2

A simulated dataset of 1,000 patients was generated to reflect realistic clinical characteristics.

The dataset includes:

Age (years): Continuous variable, normally distributed with mean ≈ 55 years.
BMI (categorical): Four categories — underweight, normal, overweight, obese.
Duration of Diabetes (years): Continuous variable, mean ≈ 10 years.
Physical Activity (hours/week): Continuous variable, mean ≈ 3 hours.
HbA1c (%): Continuous outcome variable, constrained between 4% and 14%, with median ≈ 7.5%.

This dataset was prepared by coding BMI as a factor and summarizing distributions to ensure realistic ranges and variability.

2. Data Preparation

library(tidyverse)
library(broom)
library(haven)
library(here)
library(gt)

diabetes_data <- diabetes_data %>%
  mutate(bmi = factor(bmi, levels=c("normal", "underweight", "overweight", "obese")))
summary(diabetes_data)

##       age                 bmi      duration_diabetes     hba1c       
##  Min.   :26.90   normal     :402   Min.   :-5.200    Min.   : 4.400  
##  1st Qu.:48.70   underweight:107   1st Qu.: 6.700    1st Qu.: 7.600  
##  Median :55.10   overweight :291   Median : 9.850    Median : 8.500  
##  Mean   :55.16   obese      :200   Mean   : 9.987    Mean   : 8.548  
##  3rd Qu.:61.62                     3rd Qu.:13.400    3rd Qu.: 9.400  
##  Max.   :87.40                     Max.   :26.500    Max.   :13.500

glimpse(diabetes_data)

## Rows: 1,000
## Columns: 4
## $ age               <dbl> 49.4, 52.7, 70.6, 55.7, 56.3, 72.2, 59.6, 42.3, 48.1…
## $ bmi               <fct> normal, normal, normal, overweight, overweight, over…
## $ duration_diabetes <dbl> 5.9, 8.5, 5.5, 13.1, 15.6, 20.6, 11.8, 5.6, 15.1, 14…
## $ hba1c             <dbl> 6.9, 8.6, 7.9, 8.6, 10.1, 10.2, 9.1, 8.2, 7.2, 10.1,…

3. Univariable Analysis

Null model

mod_null <- lm(hba1c ~ 1, data = diabetes_data)
summary(mod_null)

## 
## Call:
## lm(formula = hba1c ~ 1, data = diabetes_data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.1482 -0.9482 -0.0482  0.8518  4.9518 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  8.54820    0.04134   206.8   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.307 on 999 degrees of freedom

options(digits = 3, scipen = 9999)
null_table <- tidy(mod_null, conf.int=TRUE) %>% 
  mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))

# Create gt table
null_table %>%
  gt() %>%
  tab_header(
    title = "Null Model: HbA1c",
    subtitle = "Intercept-only model (baseline)"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Null Model: HbA1c
Intercept-only model (baseline)
(Intercept)	8.55	0.0413	207	<0.001	8.47	8.63

Age

mod_age <- lm(hba1c ~ age, data = diabetes_data)
summary(mod_age)

## 
## Call:
## lm(formula = hba1c ~ age, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -4.239 -0.788 -0.082  0.789  3.826 
## 
## Coefficients:
##             Estimate Std. Error t value            Pr(>|t|)    
## (Intercept)   5.9649     0.2186    27.3 <0.0000000000000002 ***
## age           0.0468     0.0039    12.0 <0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.22 on 998 degrees of freedom
## Multiple R-squared:  0.126,  Adjusted R-squared:  0.125 
## F-statistic:  144 on 1 and 998 DF,  p-value: <0.0000000000000002

age_table <- tidy(mod_age, conf.int = TRUE) %>% 
    mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))

age_table %>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	5.9649	0.2186	27.3	<0.001	5.5360	6.3938
age	0.0468	0.0039	12.0	<0.001	0.0392	0.0545

BMI

mod_bmi <- lm(hba1c ~ bmi, data = diabetes_data)
summary(mod_bmi)

## 
## Call:
## lm(formula = hba1c ~ bmi, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -3.450 -0.850 -0.025  0.844  4.250 
## 
## Coefficients:
##                Estimate Std. Error t value             Pr(>|t|)    
## (Intercept)      8.2498     0.0606  136.19 < 0.0000000000000002 ***
## bmiunderweight  -0.4937     0.1321   -3.74               0.0002 ***
## bmioverweight    0.4509     0.0935    4.82            0.0000016 ***
## bmiobese         1.1002     0.1051   10.47 < 0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.21 on 996 degrees of freedom
## Multiple R-squared:  0.14,   Adjusted R-squared:  0.137 
## F-statistic: 53.9 on 3 and 996 DF,  p-value: <0.0000000000000002

bmi_table <-  tidy(mod_bmi, conf.int=TRUE) %>% 
    mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))

# Create gt table
bmi_table %>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	8.250	0.0606	136.19	<0.001	8.131	8.369
bmiunderweight	-0.494	0.1321	-3.74	<0.001	-0.753	-0.234
bmioverweight	0.451	0.0935	4.82	<0.001	0.268	0.634
bmiobese	1.100	0.1051	10.47	<0.001	0.894	1.306

Duration of diabetes

mod_duration <- lm(hba1c ~ duration_diabetes, data = diabetes_data)
summary(mod_duration)

## 
## Call:
## lm(formula = hba1c ~ duration_diabetes, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -3.929 -0.852  0.026  0.810  4.371 
## 
## Coefficients:
##                   Estimate Std. Error t value            Pr(>|t|)    
## (Intercept)        7.55094    0.08671    87.1 <0.0000000000000002 ***
## duration_diabetes  0.09986    0.00779    12.8 <0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.21 on 998 degrees of freedom
## Multiple R-squared:  0.141,  Adjusted R-squared:  0.141 
## F-statistic:  164 on 1 and 998 DF,  p-value: <0.0000000000000002

duration_table <- tidy(mod_duration, conf.int=TRUE) %>% 
    mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))

# Create gt table
duration_table %>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	7.5509	0.08671	87.1	<0.001	7.3808	7.721
duration_diabetes	0.0999	0.00779	12.8	<0.001	0.0846	0.115

4. Multivariable Analysis

All Predictors in univariate analysis with p-value <0.25 are included in multivariable analysis (here, we include all predictors).

Model full (Age, BMI, Duration of Diabetes)

mod_full <- lm(hba1c ~ age + bmi + duration_diabetes, data = diabetes_data)
summary(mod_full)

## 
## Call:
## lm(formula = hba1c ~ age + bmi + duration_diabetes, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -2.986 -0.655 -0.028  0.658  3.313 
## 
## Coefficients:
##                   Estimate Std. Error t value             Pr(>|t|)    
## (Intercept)        4.59564    0.19697   23.33 < 0.0000000000000002 ***
## age                0.04738    0.00321   14.77 < 0.0000000000000002 ***
## bmiunderweight    -0.51855    0.10905   -4.76            0.0000023 ***
## bmioverweight      0.37177    0.07731    4.81            0.0000018 ***
## bmiobese           1.06357    0.08685   12.25 < 0.0000000000000002 ***
## duration_diabetes  0.10751    0.00647   16.61 < 0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1 on 994 degrees of freedom
## Multiple R-squared:  0.415,  Adjusted R-squared:  0.412 
## F-statistic:  141 on 5 and 994 DF,  p-value: <0.0000000000000002

full_table <- tidy(mod_full, conf.int=TRUE) %>% 
    mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))

# Create gt table
full_table %>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	4.5956	0.19697	23.33	<0.001	4.2091	4.9822
age	0.0474	0.00321	14.77	<0.001	0.0411	0.0537
bmiunderweight	-0.5186	0.10905	-4.76	<0.001	-0.7326	-0.3046
bmioverweight	0.3718	0.07731	4.81	<0.001	0.2201	0.5235
bmiobese	1.0636	0.08685	12.25	<0.001	0.8932	1.2340
duration_diabetes	0.1075	0.00647	16.61	<0.001	0.0948	0.1202

Age and BMI

mod_age.bmi <- lm(hba1c ~ age + bmi, data = diabetes_data)
summary(mod_age.bmi)

## 
## Call:
## lm(formula = hba1c ~ age + bmi, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -3.616 -0.732 -0.031  0.730  4.111 
## 
## Coefficients:
##                Estimate Std. Error t value             Pr(>|t|)    
## (Intercept)     5.80517    0.20676   28.08 < 0.0000000000000002 ***
## age             0.04447    0.00362   12.29 < 0.0000000000000002 ***
## bmiunderweight -0.47677    0.12317   -3.87              0.00012 ***
## bmioverweight   0.45773    0.08714    5.25           0.00000018 ***
## bmiobese        1.03841    0.09810   10.59 < 0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.13 on 995 degrees of freedom
## Multiple R-squared:  0.253,  Adjusted R-squared:  0.25 
## F-statistic: 84.2 on 4 and 995 DF,  p-value: <0.0000000000000002

age.bmi_table <- tidy(mod_age.bmi, conf.int=TRUE) %>% 
    mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))

# Create gt table
age.bmi_table %>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	5.8052	0.20676	28.08	<0.001	5.3994	6.2109
age	0.0445	0.00362	12.29	<0.001	0.0374	0.0516
bmiunderweight	-0.4768	0.12317	-3.87	<0.001	-0.7185	-0.2351
bmioverweight	0.4577	0.08714	5.25	<0.001	0.2867	0.6287
bmiobese	1.0384	0.09810	10.59	<0.001	0.8459	1.2309

Age and Duration of diabetes

mod_age.duration <- lm(hba1c ~ age + duration_diabetes, data = diabetes_data)
summary(mod_age.duration)

## 
## Call:
## lm(formula = hba1c ~ age + duration_diabetes, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -3.718 -0.785  0.005  0.725  3.312 
## 
## Coefficients:
##                   Estimate Std. Error t value            Pr(>|t|)    
## (Intercept)        4.74270    0.21444    22.1 <0.0000000000000002 ***
## age                0.04986    0.00354    14.1 <0.0000000000000002 ***
## duration_diabetes  0.10566    0.00713    14.8 <0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.11 on 997 degrees of freedom
## Multiple R-squared:  0.284,  Adjusted R-squared:  0.283 
## F-statistic:  198 on 2 and 997 DF,  p-value: <0.0000000000000002

age.duration_table <- tidy(mod_age.duration, conf.int=TRUE) %>% 
    mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))

# Create gt table
age.duration_table %>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	4.7427	0.21444	22.1	<0.001	4.3219	5.1635
age	0.0499	0.00354	14.1	<0.001	0.0429	0.0568
duration_diabetes	0.1057	0.00713	14.8	<0.001	0.0917	0.1196

BMI and Duration of diabetes

mod_bmi.duration <- lm(hba1c ~ bmi + duration_diabetes, data = diabetes_data)
summary(mod_bmi.duration)

## 
## Call:
## lm(formula = hba1c ~ bmi + duration_diabetes, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -3.229 -0.750 -0.003  0.776  3.505 
## 
## Coefficients:
##                   Estimate Std. Error t value             Pr(>|t|)    
## (Intercept)        7.25083    0.08885   81.60 < 0.0000000000000002 ***
## bmiunderweight    -0.53448    0.12036   -4.44             0.000010 ***
## bmioverweight      0.36872    0.08533    4.32             0.000017 ***
## bmiobese           1.12804    0.09574   11.78 < 0.0000000000000002 ***
## duration_diabetes  0.10230    0.00713   14.34 < 0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.11 on 995 degrees of freedom
## Multiple R-squared:  0.287,  Adjusted R-squared:  0.284 
## F-statistic:  100 on 4 and 995 DF,  p-value: <0.0000000000000002

bmi.duration_table <- tidy(mod_bmi.duration, conf.int=TRUE) %>% 
    mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))

# Create gt table
bmi.duration_table %>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	7.251	0.08885	81.60	<0.001	7.0765	7.425
bmiunderweight	-0.534	0.12036	-4.44	<0.001	-0.7707	-0.298
bmioverweight	0.369	0.08533	4.32	<0.001	0.2013	0.536
bmiobese	1.128	0.09574	11.78	<0.001	0.9402	1.316
duration_diabetes	0.102	0.00713	14.34	<0.001	0.0883	0.116

5. Model Comparison

Load library(MuMin)

library(MuMIn)

## Warning: package 'MuMIn' was built under R version 4.5.2

## Registered S3 methods overwritten by 'MuMIn':
##   method        from 
##   nobs.multinom broom
##   nobs.fitdistr broom

Using AICc for multi model comparison

model_list <- list(mod_null, mod_age, mod_bmi, mod_duration, mod_age.bmi, mod_age.duration, mod_bmi.duration, mod_full)
model_comparison <- model.sel(model_list)
model_comparison

## Model selection table 
##   (Int)    age bmi drt_dbt df logLik AICc delta weight
## 8  4.60 0.0474   +  0.1075  7  -1418 2850     0      1
## 7  7.25          +  0.1023  6  -1517 3047   196      0
## 6  4.74 0.0499      0.1057  4  -1519 3047   196      0
## 5  5.80 0.0445   +          6  -1541 3093   243      0
## 4  7.55             0.0999  3  -1610 3226   376      0
## 3  8.25          +          5  -1611 3233   382      0
## 2  5.96 0.0468              3  -1619 3244   394      0
## 1  8.55                     2  -1686 3377   527      0
## Models ranked by AICc(x)

Select the best model (Lowest AICc)

best_model <- get.models(model_comparison, 1)[[1]]
summary(best_model)

## 
## Call:
## lm(formula = hba1c ~ age + bmi + duration_diabetes, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -2.986 -0.655 -0.028  0.658  3.313 
## 
## Coefficients:
##                   Estimate Std. Error t value             Pr(>|t|)    
## (Intercept)        4.59564    0.19697   23.33 < 0.0000000000000002 ***
## age                0.04738    0.00321   14.77 < 0.0000000000000002 ***
## bmiunderweight    -0.51855    0.10905   -4.76            0.0000023 ***
## bmioverweight      0.37177    0.07731    4.81            0.0000018 ***
## bmiobese           1.06357    0.08685   12.25 < 0.0000000000000002 ***
## duration_diabetes  0.10751    0.00647   16.61 < 0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1 on 994 degrees of freedom
## Multiple R-squared:  0.415,  Adjusted R-squared:  0.412 
## F-statistic:  141 on 5 and 994 DF,  p-value: <0.0000000000000002

—Anothor option is using backward, forward and both selection—–

Since we using AICc is a roboust method, we can rely on AICc in selecting our model. You may skip this step

Here is the way,

Load library

library(dplyr)
library(MASS)

## 
## Attaching package: 'MASS'

## The following object is masked from 'package:dplyr':
## 
##     select

Backward selection

step_bw <- MASS::stepAIC(mod_full, direction = "backward")

## Start:  AIC=10.3
## hba1c ~ age + bmi + duration_diabetes
## 
##                     Df Sum of Sq  RSS   AIC
## <none>                            998  10.3
## - age                1       219 1217 206.7
## - bmi                3       224 1222 206.8
## - duration_diabetes  1       277 1275 253.3

Both selection

step_both <- MASS::stepAIC(mod_null, 
                           direction = "both", 
                           scope = list(upper = mod_full, lower = mod_null))

## Start:  AIC=537
## hba1c ~ 1
## 
##                     Df Sum of Sq  RSS AIC
## + duration_diabetes  1       242 1466 386
## + bmi                3       238 1469 393
## + age                1       216 1492 404
## <none>                           1707 537
## 
## Step:  AIC=386
## hba1c ~ duration_diabetes
## 
##                     Df Sum of Sq  RSS AIC
## + bmi                3       248 1217 207
## + age                1       244 1222 207
## <none>                           1466 386
## - duration_diabetes  1       242 1707 537
## 
## Step:  AIC=207
## hba1c ~ duration_diabetes + bmi
## 
##                     Df Sum of Sq  RSS AIC
## + age                1       219  998  10
## <none>                           1217 207
## - bmi                3       248 1466 386
## - duration_diabetes  1       252 1469 393
## 
## Step:  AIC=10.3
## hba1c ~ duration_diabetes + bmi + age
## 
##                     Df Sum of Sq  RSS   AIC
## <none>                            998  10.3
## - age                1       219 1217 206.7
## - bmi                3       224 1222 206.8
## - duration_diabetes  1       277 1275 253.3

Forward selection

step_fw <- MASS::stepAIC(mod_null, 
                         direction = "forward", 
                         scope = list(upper = mod_full, lower = mod_null))

## Start:  AIC=537
## hba1c ~ 1
## 
##                     Df Sum of Sq  RSS AIC
## + duration_diabetes  1       242 1466 386
## + bmi                3       238 1469 393
## + age                1       216 1492 404
## <none>                           1707 537
## 
## Step:  AIC=386
## hba1c ~ duration_diabetes
## 
##        Df Sum of Sq  RSS AIC
## + bmi   3       248 1217 207
## + age   1       244 1222 207
## <none>              1466 386
## 
## Step:  AIC=207
## hba1c ~ duration_diabetes + bmi
## 
##        Df Sum of Sq  RSS   AIC
## + age   1       219  998  10.3
## <none>              1217 206.7
## 
## Step:  AIC=10.3
## hba1c ~ duration_diabetes + bmi + age

Compare results

step_bw$anova

## Stepwise Model Path 
## Analysis of Deviance Table
## 
## Initial Model:
## hba1c ~ age + bmi + duration_diabetes
## 
## Final Model:
## hba1c ~ age + bmi + duration_diabetes
## 
## 
##   Step Df Deviance Resid. Df Resid. Dev  AIC
## 1                        994        998 10.3

step_both$anova

## Stepwise Model Path 
## Analysis of Deviance Table
## 
## Initial Model:
## hba1c ~ 1
## 
## Final Model:
## hba1c ~ duration_diabetes + bmi + age
## 
## 
##                  Step Df Deviance Resid. Df Resid. Dev   AIC
## 1                                       999       1707 537.0
## 2 + duration_diabetes  1      241       998       1466 386.5
## 3               + bmi  3      248       995       1217 206.7
## 4               + age  1      219       994        998  10.3

step_fw$anova

## Stepwise Model Path 
## Analysis of Deviance Table
## 
## Initial Model:
## hba1c ~ 1
## 
## Final Model:
## hba1c ~ duration_diabetes + bmi + age
## 
## 
##                  Step Df Deviance Resid. Df Resid. Dev   AIC
## 1                                       999       1707 537.0
## 2 + duration_diabetes  1      241       998       1466 386.5
## 3               + bmi  3      248       995       1217 206.7
## 4               + age  1      219       994        998  10.3

Summary selection

summary(step_bw)

## 
## Call:
## lm(formula = hba1c ~ age + bmi + duration_diabetes, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -2.986 -0.655 -0.028  0.658  3.313 
## 
## Coefficients:
##                   Estimate Std. Error t value             Pr(>|t|)    
## (Intercept)        4.59564    0.19697   23.33 < 0.0000000000000002 ***
## age                0.04738    0.00321   14.77 < 0.0000000000000002 ***
## bmiunderweight    -0.51855    0.10905   -4.76            0.0000023 ***
## bmioverweight      0.37177    0.07731    4.81            0.0000018 ***
## bmiobese           1.06357    0.08685   12.25 < 0.0000000000000002 ***
## duration_diabetes  0.10751    0.00647   16.61 < 0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1 on 994 degrees of freedom
## Multiple R-squared:  0.415,  Adjusted R-squared:  0.412 
## F-statistic:  141 on 5 and 994 DF,  p-value: <0.0000000000000002

summary(step_both)

## 
## Call:
## lm(formula = hba1c ~ duration_diabetes + bmi + age, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -2.986 -0.655 -0.028  0.658  3.313 
## 
## Coefficients:
##                   Estimate Std. Error t value             Pr(>|t|)    
## (Intercept)        4.59564    0.19697   23.33 < 0.0000000000000002 ***
## duration_diabetes  0.10751    0.00647   16.61 < 0.0000000000000002 ***
## bmiunderweight    -0.51855    0.10905   -4.76            0.0000023 ***
## bmioverweight      0.37177    0.07731    4.81            0.0000018 ***
## bmiobese           1.06357    0.08685   12.25 < 0.0000000000000002 ***
## age                0.04738    0.00321   14.77 < 0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1 on 994 degrees of freedom
## Multiple R-squared:  0.415,  Adjusted R-squared:  0.412 
## F-statistic:  141 on 5 and 994 DF,  p-value: <0.0000000000000002

summary(step_fw)

## 
## Call:
## lm(formula = hba1c ~ duration_diabetes + bmi + age, data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -2.986 -0.655 -0.028  0.658  3.313 
## 
## Coefficients:
##                   Estimate Std. Error t value             Pr(>|t|)    
## (Intercept)        4.59564    0.19697   23.33 < 0.0000000000000002 ***
## duration_diabetes  0.10751    0.00647   16.61 < 0.0000000000000002 ***
## bmiunderweight    -0.51855    0.10905   -4.76            0.0000023 ***
## bmioverweight      0.37177    0.07731    4.81            0.0000018 ***
## bmiobese           1.06357    0.08685   12.25 < 0.0000000000000002 ***
## age                0.04738    0.00321   14.77 < 0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1 on 994 degrees of freedom
## Multiple R-squared:  0.415,  Adjusted R-squared:  0.412 
## F-statistic:  141 on 5 and 994 DF,  p-value: <0.0000000000000002

Intepretation : The analysis showed that the best model for predicting HbA1c includes age, BMI, and duration of diabetes (best_model). All three selection methods (forward, backward, and both) consistently identified the same predictors, which confirms their importance. (R² = 0.41)

6. Handling confounding variables

Load library

library(ggplot2)

Visualize relationship between age and duration of diabetes

# age and Duration of diabetes
diabetes_data %>%
  ggplot(aes(age, duration_diabetes)) +
  geom_point() +
  geom_smooth(method="lm", color="red")

## `geom_smooth()` using formula = 'y ~ x'

# Age and BMI
diabetes_data %>%
  ggplot(aes(age, fill = bmi)) +
  geom_boxplot()

# BMI and Duration of diabetes
diabetes_data %>%
  ggplot(aes(duration_diabetes, fill = bmi)) +
  geom_boxplot()

Interpretation: Age and duration are mostly independent, but BMI is related to both age and duration. This means BMI could act as a confounder, so it should be included in the model to avoid bias.

Comparing coefficients across models

library(broom)

# Collect results into one data frame
models <- list(mod_age, mod_age.bmi, mod_age.duration, mod_bmi, mod_bmi.duration, mod_duration, mod_full)

coef_table <- lapply(models, function(m) tidy(m, conf.int = TRUE))
names(coef_table) <- c("mod_age", "mod_age.bmi", "mod_age.duration",
                       "mod_bmi", "mod_bmi.duration", "mod_duration", "mod_full")

coef_table

## $mod_age
## # A tibble: 2 × 7
##   term        estimate std.error statistic   p.value conf.low conf.high
##   <chr>          <dbl>     <dbl>     <dbl>     <dbl>    <dbl>     <dbl>
## 1 (Intercept)   5.96     0.219        27.3 6.05e-123   5.54      6.39  
## 2 age           0.0468   0.00390      12.0 4.01e- 31   0.0392    0.0545
## 
## $mod_age.bmi
## # A tibble: 5 × 7
##   term           estimate std.error statistic   p.value conf.low conf.high
##   <chr>             <dbl>     <dbl>     <dbl>     <dbl>    <dbl>     <dbl>
## 1 (Intercept)      5.81     0.207       28.1  3.25e-128   5.40      6.21  
## 2 age              0.0445   0.00362     12.3  2.00e- 32   0.0374    0.0516
## 3 bmiunderweight  -0.477    0.123       -3.87 1.16e-  4  -0.718    -0.235 
## 4 bmioverweight    0.458    0.0871       5.25 1.83e-  7   0.287     0.629 
## 5 bmiobese         1.04     0.0981      10.6  6.93e- 25   0.846     1.23  
## 
## $mod_age.duration
## # A tibble: 3 × 7
##   term              estimate std.error statistic  p.value conf.low conf.high
##   <chr>                <dbl>     <dbl>     <dbl>    <dbl>    <dbl>     <dbl>
## 1 (Intercept)         4.74     0.214        22.1 1.65e-88   4.32      5.16  
## 2 age                 0.0499   0.00354      14.1 2.90e-41   0.0429    0.0568
## 3 duration_diabetes   0.106    0.00713      14.8 4.42e-45   0.0917    0.120 
## 
## $mod_bmi
## # A tibble: 4 × 7
##   term           estimate std.error statistic  p.value conf.low conf.high
##   <chr>             <dbl>     <dbl>     <dbl>    <dbl>    <dbl>     <dbl>
## 1 (Intercept)       8.25     0.0606    136.   0           8.13      8.37 
## 2 bmiunderweight   -0.494    0.132      -3.74 1.97e- 4   -0.753    -0.234
## 3 bmioverweight     0.451    0.0935      4.82 1.63e- 6    0.268     0.634
## 4 bmiobese          1.10     0.105      10.5  2.09e-24    0.894     1.31 
## 
## $mod_bmi.duration
## # A tibble: 5 × 7
##   term              estimate std.error statistic  p.value conf.low conf.high
##   <chr>                <dbl>     <dbl>     <dbl>    <dbl>    <dbl>     <dbl>
## 1 (Intercept)          7.25    0.0889      81.6  0          7.08       7.43 
## 2 bmiunderweight      -0.534   0.120       -4.44 9.97e- 6  -0.771     -0.298
## 3 bmioverweight        0.369   0.0853       4.32 1.71e- 5   0.201      0.536
## 4 bmiobese             1.13    0.0957      11.8  4.30e-30   0.940      1.32 
## 5 duration_diabetes    0.102   0.00713     14.3  1.53e-42   0.0883     0.116
## 
## $mod_duration
## # A tibble: 2 × 7
##   term              estimate std.error statistic  p.value conf.low conf.high
##   <chr>                <dbl>     <dbl>     <dbl>    <dbl>    <dbl>     <dbl>
## 1 (Intercept)         7.55     0.0867       87.1 0          7.38       7.72 
## 2 duration_diabetes   0.0999   0.00779      12.8 5.96e-35   0.0846     0.115
## 
## $mod_full
## # A tibble: 6 × 7
##   term              estimate std.error statistic  p.value conf.low conf.high
##   <chr>                <dbl>     <dbl>     <dbl>    <dbl>    <dbl>     <dbl>
## 1 (Intercept)         4.60     0.197       23.3  2.28e-96   4.21      4.98  
## 2 age                 0.0474   0.00321     14.8  8.81e-45   0.0411    0.0537
## 3 bmiunderweight     -0.519    0.109       -4.76 2.28e- 6  -0.733    -0.305 
## 4 bmioverweight       0.372    0.0773       4.81 1.75e- 6   0.220     0.523 
## 5 bmiobese            1.06     0.0868      12.2  3.23e-32   0.893     1.23  
## 6 duration_diabetes   0.108    0.00647     16.6  7.13e-55   0.0948    0.120

library(dplyr)

coef_compare <- bind_rows(coef_table, .id = "Model")
coef_compare

## # A tibble: 27 × 8
##    Model         term  estimate std.error statistic   p.value conf.low conf.high
##    <chr>         <chr>    <dbl>     <dbl>     <dbl>     <dbl>    <dbl>     <dbl>
##  1 mod_age       (Int…   5.96     0.219       27.3  6.05e-123   5.54      6.39  
##  2 mod_age       age     0.0468   0.00390     12.0  4.01e- 31   0.0392    0.0545
##  3 mod_age.bmi   (Int…   5.81     0.207       28.1  3.25e-128   5.40      6.21  
##  4 mod_age.bmi   age     0.0445   0.00362     12.3  2.00e- 32   0.0374    0.0516
##  5 mod_age.bmi   bmiu…  -0.477    0.123       -3.87 1.16e-  4  -0.718    -0.235 
##  6 mod_age.bmi   bmio…   0.458    0.0871       5.25 1.83e-  7   0.287     0.629 
##  7 mod_age.bmi   bmio…   1.04     0.0981      10.6  6.93e- 25   0.846     1.23  
##  8 mod_age.dura… (Int…   4.74     0.214       22.1  1.65e- 88   4.32      5.16  
##  9 mod_age.dura… age     0.0499   0.00354     14.1  2.90e- 41   0.0429    0.0568
## 10 mod_age.dura… dura…   0.106    0.00713     14.8  4.42e- 45   0.0917    0.120 
## # ℹ 17 more rows

Intepretation: The coefficients for age and duration of diabetes remained relatively stable across models, indicating no major confounding effect from BMI or from each other. Each predictor appears to have an independent association with HbA1c

7. Identify interaction

Age and BMI

inter_age.bmi <- lm(hba1c ~ age + bmi + duration_diabetes + age:bmi, data = diabetes_data)
age.bmi_inter <- tidy(inter_age.bmi, conf.int = TRUE) %>% 
      mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))
age.bmi_inter%>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	4.5215	0.29380	15.39	<0.001	3.9449	5.09802
age	0.0487	0.00509	9.58	<0.001	0.0387	0.05871
bmiunderweight	-0.6817	0.59465	-1.15	0.252	-1.8486	0.48519
bmioverweight	0.8216	0.45541	1.80	0.072	-0.0721	1.71525
bmiobese	0.9772	0.47342	2.06	0.039	0.0482	1.90619
duration_diabetes	0.1075	0.00648	16.58	<0.001	0.0948	0.12023
age:bmiunderweight	0.0030	0.01069	0.28	0.779	-0.0180	0.02398
age:bmioverweight	-0.0082	0.00818	-1.00	0.316	-0.0243	0.00785
age:bmiobese	0.0015	0.00833	0.18	0.857	-0.0149	0.01785

Age and Duration of diabetes

inter_age.duration <- lm(hba1c ~ age + bmi + duration_diabetes + age:duration_diabetes, data = diabetes_data)
age.duration_table <- tidy(inter_age.duration, conf.int = TRUE) %>% 
      mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))
age.duration_table %>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	4.521425	0.407124	11.106	<0.001	3.72250	5.32035
age	0.048721	0.007201	6.766	<0.001	0.03459	0.06285
bmiunderweight	-0.519020	0.109129	-4.756	<0.001	-0.73317	-0.30487
bmioverweight	0.371898	0.077350	4.808	<0.001	0.22011	0.52369
bmiobese	1.063999	0.086912	12.242	<0.001	0.89345	1.23455
duration_diabetes	0.114780	0.035482	3.235	0.001	0.04515	0.18441
age:duration_diabetes	-0.000132	0.000635	-0.208	0.835	-0.00138	0.00111

BMI and Duration of diabetes

inter_bmi.duration <- lm(hba1c ~ age + bmi + duration_diabetes + bmi:duration_diabetes, data = diabetes_data)
summary(inter_bmi.duration)

## 
## Call:
## lm(formula = hba1c ~ age + bmi + duration_diabetes + bmi:duration_diabetes, 
##     data = diabetes_data)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -3.030 -0.649 -0.028  0.664  3.276 
## 
## Coefficients:
##                                  Estimate Std. Error t value
## (Intercept)                       4.55010    0.21454   21.21
## age                               0.04730    0.00321   14.72
## bmiunderweight                   -0.38649    0.24405   -1.58
## bmioverweight                     0.53273    0.17623    3.02
## bmiobese                          0.99112    0.19610    5.05
## duration_diabetes                 0.11264    0.01058   10.65
## bmiunderweight:duration_diabetes -0.01320    0.02168   -0.61
## bmioverweight:duration_diabetes  -0.01562    0.01553   -1.01
## bmiobese:duration_diabetes        0.00779    0.01836    0.42
##                                              Pr(>|t|)    
## (Intercept)                      < 0.0000000000000002 ***
## age                              < 0.0000000000000002 ***
## bmiunderweight                                 0.1136    
## bmioverweight                                  0.0026 ** 
## bmiobese                                   0.00000051 ***
## duration_diabetes                < 0.0000000000000002 ***
## bmiunderweight:duration_diabetes               0.5428    
## bmioverweight:duration_diabetes                0.3146    
## bmiobese:duration_diabetes                     0.6714    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1 on 991 degrees of freedom
## Multiple R-squared:  0.416,  Adjusted R-squared:  0.412 
## F-statistic: 88.4 on 8 and 991 DF,  p-value: <0.0000000000000002

Age, BMI and Duration of diabetes

inter_age.bmi.duration <- lm(hba1c ~ age + bmi + duration_diabetes + age:bmi:duration_diabetes, data = diabetes_data)
age.bmi.duration_table <-  tidy(inter_age.bmi.duration, conf.int = TRUE) %>% 
      mutate(p.value = ifelse(p.value < 0.001, "<0.001", sprintf("%.3f", p.value)))
age.bmi.duration_table %>%
  gt() %>%
  fmt_number(columns = p.value, decimals = 3) %>%
  tab_header(
    title = "Simple Linear Regression: HbA1c ~ Age",
    subtitle = "Association between Age and Glycemic Control"
  ) %>%
  cols_label(
    term = "Term",
    estimate = "Estimate",
    std.error = "Std. Error",
    statistic = "t-value",
    p.value = "p-value",
    conf.low = "95% CI (Lower)",
    conf.high = "95% CI (Upper)"
  )

Term	Estimate	Std. Error	t-value	p-value	95% CI (Lower)	95% CI (Upper)
Simple Linear Regression: HbA1c ~ Age
Association between Age and Glycemic Control
(Intercept)	4.48826833	0.410903	10.92293	<0.001	3.68193	5.294610
age	0.04817962	0.007215	6.67743	<0.001	0.03402	0.062339
bmiunderweight	-0.45036856	0.235346	-1.91364	0.056	-0.91220	0.011466
bmioverweight	0.59985984	0.168134	3.56774	<0.001	0.26992	0.929800
bmiobese	0.98982846	0.184647	5.36066	<0.001	0.62748	1.352172
duration_diabetes	0.11367847	0.035571	3.19585	0.001	0.04388	0.183481
age:bminormal:duration_diabetes	0.00000584	0.000662	0.00883	0.993	-0.00129	0.001305
age:bmiunderweight:duration_diabetes	-0.00012270	0.000719	-0.17076	0.864	-0.00153	0.001287
age:bmioverweight:duration_diabetes	-0.00039833	0.000650	-0.61240	0.540	-0.00167	0.000878
age:bmiobese:duration_diabetes	0.00014451	0.000663	0.21783	0.828	-0.00116	0.001446

Intepretation: There is no significant interaction effect between the predictors on HbA1c levels.

8. Model assessment

Diagnostic plots for the final model

par(mfrow=c(2,2))
plot(mod_full)

QQ plot for normality of residuals

qqnorm(residuals(mod_full))
qqline(residuals(mod_full))

heteroscedasticity of residual(Breusch–Pagan test)

library(lmtest)

## Warning: package 'lmtest' was built under R version 4.5.2

## Loading required package: zoo

## 
## Attaching package: 'zoo'

## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric

bptest(mod_full)

## 
##  studentized Breusch-Pagan test
## 
## data:  mod_full
## BP = 6, df = 5, p-value = 0.3

Interpretation: Breusch–Pagan test indicated no violation of the homoscedasticity assumption (BP = 6.26, df = 5, p = 0.28). Thus, the residuals appear to have constant variance, supporting the validity of the regression model’s standard errors and inference.

Shapiro-wilk test for normality of residuals

shapiro.test(mod_full$residuals)

## 
##  Shapiro-Wilk normality test
## 
## data:  mod_full$residuals
## W = 1, p-value = 0.9

Interpretation: Normally distributed regression model.

Plot residuals

against independent variables
against other variables not in the model (if any)

augment(mod_full) %>%
  ggplot(aes(x=age, y=.resid)) +
  geom_point() +
  geom_smooth()

## `geom_smooth()` using method = 'gam' and formula = 'y ~ s(x, bs = "cs")'

Interpretation: Residual normally distributed. Homoscedasticity is met.

MASS::boxcox(mod_full)

Intepretation: Residuals appear to meet normality and homoscedasticity assumptions without transformation (λ inside ~ 1). It suggest good model stability.

VIF (multicollinearity)

library(car)

## Loading required package: carData

## 
## Attaching package: 'car'

## The following object is masked from 'package:dplyr':
## 
##     recode

## The following object is masked from 'package:purrr':
## 
##     some

# Check VIF
vif(mod_full)

##                   GVIF Df GVIF^(1/(2*Df))
## age               1.01  1            1.00
## bmi               1.01  3            1.00
## duration_diabetes 1.01  1            1.01

library(performance)

## Warning: package 'performance' was built under R version 4.5.2

check_collinearity(mod_full)

## # Check for Multicollinearity
## 
## Low Correlation
## 
##               Term  VIF    VIF 95% CI adj. VIF Tolerance Tolerance 95% CI
##                age 1.01 [1.00, 66.39]     1.00      0.99     [0.02, 1.00]
##                bmi 1.01 [1.00,  5.05]     1.00      0.99     [0.20, 1.00]
##  duration_diabetes 1.01 [1.00,  6.04]     1.01      0.99     [0.17, 1.00]

Interpretation: No multicollinearity.

Fitted value and residual

res.mod <- residuals(mod_full)
head(res.mod)

##      1      2      3      4      5      6 
## -0.670  0.594 -0.632 -0.415  0.788 -0.403

hist(res.mod)

Intepretation: The residual is normally distributed

Alternatively, using broom package (you can skip this)

library(flextable)

## Warning: package 'flextable' was built under R version 4.5.2

## 
## Attaching package: 'flextable'

## The following object is masked from 'package:purrr':
## 
##     compose

diabetes_pred.res <- augment(mod_full)
diabetes_pred.res %>%
  flextable()

hba1c	age	bmi	duration_diabetes	.fitted	.resid	.hat	.sigma	.cooksd	.std.resid
6.9	49.4	normal	5.9	7.57	-0.67045	0.00348	1.002	0.00026114342	-0.67017
8.6	52.7	normal	8.5	8.01	0.59367	0.00261	1.003	0.00015364931	0.59315
7.9	70.6	normal	5.5	8.53	-0.63187	0.00560	1.002	0.00037516563	-0.63227
8.6	55.7	overweight	13.1	9.01	-0.41479	0.00372	1.003	0.00010691106	-0.41466
10.1	56.3	overweight	15.6	9.31	0.78800	0.00453	1.002	0.00047122658	0.78808
10.2	72.2	overweight	20.6	10.60	-0.40287	0.01112	1.003	0.00030635876	-0.40425
9.1	59.6	overweight	11.8	9.06	0.04020	0.00375	1.003	0.00000101255	0.04019
8.2	42.3	normal	5.6	7.20	0.99819	0.00497	1.002	0.00083063865	0.99851
7.2	48.1	normal	15.1	8.50	-1.29797	0.00408	1.002	0.00114870524	-1.29780
10.1	50.5	normal	14.5	8.55	1.55283	0.00358	1.001	0.00144263058	1.55224
11.8	67.2	obese	8.8	9.79	2.01085	0.00621	1.001	0.00421724635	2.01275
8.3	58.6	normal	2.2	7.61	0.69146	0.00495	1.002	0.00039644270	0.69167
9.8	59.0	overweight	13.8	9.25	0.55360	0.00408	1.003	0.00020930184	0.55353
8.9	56.1	overweight	15.6	9.30	-0.40252	0.00452	1.003	0.00012273879	-0.40256
7.8	49.4	underweight	8.5	7.33	0.46857	0.00976	1.003	0.00036250494	0.46985
8.9	72.9	normal	12.7	9.41	-0.51493	0.00626	1.003	0.00027891313	-0.51543
9.6	60.0	obese	8.6	9.43	0.17348	0.00516	1.003	0.00002604680	0.17355
6.9	35.3	normal	13.4	7.71	-0.80876	0.00684	1.002	0.00075274178	-0.80978
9.3	62.0	normal	9.4	8.54	0.75629	0.00299	1.002	0.00028587827	0.75578
8.5	50.3	normal	8.3	7.87	0.62888	0.00282	1.002	0.00018583377	0.62840
8.5	44.3	underweight	10.6	7.32	1.18442	0.01043	1.002	0.00247901212	1.18806
10.5	52.8	overweight	8.6	8.39	2.10641	0.00365	1.000	0.00270610862	2.10569
6.3	44.7	underweight	7.0	6.95	-0.64749	0.01084	1.002	0.00077041912	-0.64961
8.7	47.7	normal	8.4	7.76	0.94131	0.00313	1.002	0.00046293330	0.94074
6.5	48.7	normal	10.0	7.98	-1.47809	0.00289	1.002	0.00105348202	-1.47702
7.1	38.1	normal	11.0	7.58	-0.48339	0.00542	1.003	0.00021242349	-0.48365
10.9	63.4	overweight	17.7	9.87	1.02584	0.00645	1.002	0.00114116737	1.02693
7.4	56.5	overweight	3.2	7.99	-0.58833	0.00570	1.003	0.00033127196	-0.58873
8.4	43.6	overweight	9.0	8.00	0.39929	0.00487	1.003	0.00013003240	0.39939
9.3	67.5	obese	13.2	10.28	-0.97641	0.00694	1.002	0.00111302761	-0.97769
9.5	59.3	overweight	18.8	9.80	-0.29817	0.00655	1.003	0.00009793883	-0.29850
8.8	52.0	overweight	12.1	8.73	0.06802	0.00361	1.003	0.00000278862	0.06800
8.6	64.0	overweight	9.9	9.06	-0.46399	0.00431	1.003	0.00015515057	-0.46399
6.6	63.8	normal	8.5	8.53	-1.93223	0.00333	1.001	0.00207582301	-1.93126
9.1	63.2	normal	12.1	8.89	0.20915	0.00345	1.003	0.00002523672	0.20906
10.6	61.9	obese	14.9	10.19	0.40614	0.00660	1.003	0.00018310448	0.40660
9.1	60.5	overweight	9.1	8.81	0.28784	0.00384	1.003	0.00005318434	0.28777
7.3	54.4	underweight	10.8	7.82	-0.51560	0.00936	1.003	0.00042088625	-0.51691
8.6	51.9	underweight	11.1	7.73	0.87059	0.00945	1.002	0.00121144557	0.87284
10.5	51.2	obese	13.6	9.55	0.95285	0.00593	1.002	0.00090387670	0.95361
6.6	48.1	overweight	15.6	8.92	-2.32349	0.00488	1.000	0.00441310963	-2.32413
9.4	52.9	normal	11.4	8.33	1.07241	0.00264	1.002	0.00050559239	1.07149
6.3	42.3	overweight	9.6	8.00	-1.70363	0.00511	1.001	0.00248521627	-1.70429
10.7	76.7	obese	17.0	11.12	-0.42084	0.01193	1.003	0.00035924620	-0.42245
7.3	67.1	underweight	10.8	8.42	-1.11731	0.01098	1.002	0.00232637412	-1.12106
7.3	43.8	underweight	17.9	8.08	-0.77672	0.01285	1.002	0.00131977248	-0.78007
10.3	51.0	obese	9.7	9.12	1.18162	0.00529	1.002	0.00123956176	1.18219
8.9	50.3	normal	13.1	8.39	0.51282	0.00314	1.003	0.00013788117	0.51251
8.4	62.8	normal	2.3	7.82	0.58172	0.00531	1.003	0.00030126814	0.58200
6.6	54.2	overweight	9.4	8.55	-1.94593	0.00350	1.001	0.00221404796	-1.94511
9.1	57.5	overweight	9.9	8.76	0.34397	0.00352	1.003	0.00006969550	0.34383
8.5	54.7	normal	6.2	7.85	0.64619	0.00302	1.002	0.00021055843	0.64576
8.1	54.6	underweight	4.8	7.18	0.91999	0.01055	1.002	0.00151288843	0.92288
8.4	68.7	normal	14.7	9.43	-1.03096	0.00559	1.002	0.00099671997	-1.03161
9.0	52.7	underweight	14.6	8.14	0.85640	0.01018	1.002	0.00126513265	0.85893
7.0	70.2	normal	3.5	8.30	-1.29790	0.00629	1.002	0.00177953782	-1.29917
9.9	39.5	overweight	12.1	8.14	1.76025	0.00588	1.001	0.00306148225	1.76162
8.2	60.8	obese	4.4	9.01	-0.81287	0.00623	1.002	0.00069203841	-0.81365
9.6	56.2	obese	4.7	8.83	0.77281	0.00596	1.002	0.00059780204	0.77345
9.4	57.2	overweight	12.6	9.03	0.36790	0.00368	1.003	0.00008321503	0.36778
7.0	58.8	normal	6.6	8.09	-1.09107	0.00303	1.002	0.00060187963	-1.09035
10.6	50.0	obese	15.0	9.64	0.95919	0.00660	1.002	0.00102110835	0.96028
8.6	51.7	overweight	10.2	8.51	0.08651	0.00354	1.003	0.00000443262	0.08647
9.8	44.8	obese	12.7	9.15	0.65283	0.00671	1.002	0.00048128469	0.65361
7.7	44.3	normal	7.4	7.49	0.20991	0.00394	1.003	0.00002906265	0.20987
8.7	58.0	normal	4.2	7.80	0.90486	0.00384	1.002	0.00052511074	0.90464
9.0	59.5	normal	14.6	8.98	0.01567	0.00372	1.003	0.00000015284	0.01567
9.5	55.5	normal	11.2	8.43	1.07072	0.00258	1.002	0.00049301650	1.06978
9.2	64.2	obese	8.8	9.65	-0.44701	0.00564	1.003	0.00018906623	-0.44730
9.3	75.5	underweight	10.3	8.76	0.53847	0.01383	1.003	0.00068439828	0.54106
9.0	50.1	normal	16.6	8.75	0.24600	0.00460	1.003	0.00004666416	0.24604
7.1	31.9	underweight	6.5	6.29	0.81271	0.01537	1.002	0.00173722240	0.81725
8.3	65.1	overweight	6.3	8.73	-0.42907	0.00518	1.003	0.00015993189	-0.42925
8.3	47.9	overweight	6.9	7.98	0.32133	0.00454	1.003	0.00007858571	0.32137
7.0	48.1	overweight	2.1	7.47	-0.47208	0.00702	1.003	0.00026320928	-0.47272
11.1	65.3	obese	14.1	10.27	0.83106	0.00680	1.002	0.00078972463	0.83209
8.1	52.2	overweight	11.0	8.62	-0.52319	0.00351	1.003	0.00016064140	-0.52298
9.5	42.8	normal	11.0	7.81	1.69393	0.00403	1.001	0.00193648637	1.69368
8.6	56.8	underweight	9.8	7.82	0.77820	0.00940	1.002	0.00096263648	0.78019
7.9	53.6	normal	7.4	7.93	-0.03071	0.00275	1.003	0.00000043235	-0.03069
9.0	55.1	normal	5.9	7.84	1.15949	0.00311	1.002	0.00069806006	1.15878
9.3	58.9	overweight	14.3	9.30	0.00458	0.00422	1.003	0.00000001486	0.00458
8.9	51.3	obese	2.9	8.40	0.49849	0.00715	1.003	0.00029910641	0.49920
9.3	61.4	normal	12.2	8.82	0.48368	0.00319	1.003	0.00012479657	0.48340
8.7	52.8	overweight	6.0	8.11	0.58594	0.00437	1.003	0.00025111709	0.58595
8.5	58.3	overweight	11.4	8.96	-0.45520	0.00360	1.003	0.00012455158	-0.45504
7.2	66.0	normal	6.3	8.40	-1.19994	0.00415	1.002	0.00099959450	-1.19983
6.0	59.4	underweight	7.4	7.69	-1.68695	0.00987	1.001	0.00475522662	-1.69166
9.0	51.7	overweight	18.8	9.44	-0.43809	0.00630	1.003	0.00020333409	-0.43853
9.8	66.5	normal	13.3	9.18	0.62379	0.00446	1.002	0.00029077987	0.62383
7.4	64.9	normal	-0.7	7.60	-0.19524	0.00783	1.003	0.00005032186	-0.19558
7.4	60.5	normal	10.6	8.60	-1.20166	0.00284	1.002	0.00068455370	-1.20076
10.3	57.4	normal	7.7	8.14	2.15700	0.00271	1.000	0.00210733552	2.15525
8.1	48.7	normal	4.3	7.37	0.73473	0.00421	1.002	0.00038058135	0.73468
11.0	68.6	normal	11.0	9.03	1.97157	0.00449	1.001	0.00292436382	1.97173
10.2	49.0	obese	10.6	9.12	1.07962	0.00559	1.002	0.00109291046	1.08030
8.1	76.9	underweight	8.4	8.62	-0.52359	0.01449	1.003	0.00067855945	-0.52628
10.1	70.3	overweight	19.9	10.44	-0.33759	0.00985	1.003	0.00019002304	-0.33853
6.1	52.6	overweight	-1.2	7.33	-1.23050	0.00932	1.002	0.00238643733	-1.23359
8.9	44.7	normal	14.2	8.24	0.65988	0.00429	1.002	0.00031232953	0.65986
9.9	47.9	overweight	8.6	8.16	1.73856	0.00412	1.001	0.00208294331	1.73838
7.8	57.6	normal	13.3	8.75	-0.95454	0.00310	1.002	0.00047176291	-0.95395
7.2	52.5	overweight	7.7	8.28	-1.08262	0.00385	1.002	0.00075450101	-1.08235
8.2	51.5	underweight	7.0	7.27	0.93034	0.00988	1.002	0.00144796748	0.93295
5.9	45.5	overweight	1.4	7.27	-1.37364	0.00802	1.002	0.00255318921	-1.37619
11.0	54.5	obese	9.0	9.21	1.79106	0.00505	1.001	0.00271431425	1.79170
9.7	47.2	normal	22.4	9.24	0.45983	0.00954	1.003	0.00034133101	0.46104
6.2	38.3	normal	14.9	8.01	-1.81216	0.00624	1.001	0.00344366930	-1.81390
10.3	51.2	obese	18.4	10.06	0.23679	0.00848	1.003	0.00008023810	0.23729
10.3	64.2	obese	14.6	10.27	0.02942	0.00681	1.003	0.00000099126	0.02946
7.1	49.2	obese	15.7	9.68	-2.57817	0.00703	0.999	0.00786630126	-2.58167
9.0	61.1	normal	14.5	9.05	-0.04938	0.00387	1.003	0.00000157974	-0.04937
7.1	38.8	normal	12.4	7.77	-0.66707	0.00536	1.002	0.00040000587	-0.66741
7.5	54.4	overweight	7.1	8.31	-0.80813	0.00394	1.002	0.00043072251	-0.80797
9.0	60.2	overweight	7.3	8.60	0.39558	0.00414	1.003	0.00010838172	0.39554
8.5	58.0	normal	2.0	7.56	0.94139	0.00504	1.002	0.00074919598	0.94172
11.0	56.1	obese	10.0	9.39	1.60774	0.00501	1.001	0.00217115588	1.60829
5.7	48.6	normal	14.5	8.46	-2.75715	0.00377	0.999	0.00479215250	-2.75637
10.1	46.5	obese	15.2	9.50	0.60351	0.00723	1.002	0.00044320275	0.60439
7.8	44.8	obese	10.5	8.91	-1.11064	0.00638	1.002	0.00132378000	-1.11179
8.7	56.2	underweight	7.3	7.52	1.17541	0.00970	1.002	0.00226862238	1.17859
10.3	45.5	overweight	26.5	9.97	0.32781	0.01458	1.003	0.00026768290	0.32951
9.8	50.1	normal	13.7	8.44	1.35779	0.00333	1.002	0.00102651966	1.35711
7.3	52.4	normal	17.1	8.92	-1.61672	0.00476	1.001	0.00208298512	-1.61707
10.5	73.4	obese	8.3	10.03	0.47086	0.00799	1.003	0.00029867186	0.47173
8.2	48.5	normal	9.8	7.95	0.25289	0.00292	1.003	0.00003112439	0.25271
10.6	57.4	obese	12.2	9.69	0.90962	0.00532	1.002	0.00073872532	0.91007
9.4	55.8	overweight	18.4	9.59	-0.18934	0.00602	1.003	0.00003625954	-0.18950
9.3	45.4	overweight	8.4	8.02	1.27851	0.00459	1.002	0.00125563624	1.27868
7.7	54.3	underweight	14.3	8.19	-0.48715	0.01006	1.003	0.00040417398	-0.48856
7.5	69.4	normal	-0.5	7.83	-0.32995	0.00868	1.003	0.00015959892	-0.33067
8.2	59.5	normal	7.5	8.22	-0.02099	0.00289	1.003	0.00000021252	-0.02098
6.6	55.4	normal	3.5	7.60	-0.99670	0.00412	1.002	0.00068484507	-0.99659
8.1	50.8	normal	15.6	8.68	-0.57965	0.00403	1.003	0.00022656746	-0.57956
8.8	34.5	overweight	9.2	7.59	1.20893	0.00781	1.002	0.00192287814	1.21104
10.8	66.3	overweight	8.0	8.97	1.83131	0.00500	1.001	0.00280859256	1.83192
9.8	40.4	overweight	16.8	8.69	1.11231	0.00698	1.002	0.00145376839	1.11379
9.8	62.4	obese	15.6	10.29	-0.49281	0.00701	1.003	0.00028662437	-0.49348
8.6	74.1	underweight	5.5	8.18	0.42086	0.01395	1.003	0.00042164788	0.42291
8.3	40.6	overweight	12.1	8.19	0.10814	0.00556	1.003	0.00001090041	0.10820
7.7	62.0	obese	3.9	9.02	-1.31597	0.00656	1.002	0.00191006152	-1.31744
8.1	52.4	normal	7.6	7.90	0.20464	0.00276	1.003	0.00001930822	0.20448
7.4	39.3	normal	18.1	8.40	-1.00358	0.00761	1.002	0.00129073094	-1.00523
7.2	39.9	normal	17.3	8.35	-1.14599	0.00693	1.002	0.00153048327	-1.14749
8.7	39.0	normal	15.5	8.11	0.59017	0.00627	1.003	0.00036669129	0.59074
7.0	49.7	normal	7.1	7.71	-0.71368	0.00310	1.002	0.00026362091	-0.71324
6.4	40.4	normal	0.6	6.57	-0.17424	0.00847	1.003	0.00004337959	-0.17460
7.0	61.9	normal	4.1	7.97	-0.96916	0.00423	1.002	0.00066487616	-0.96911
10.3	76.0	overweight	14.8	10.16	0.14066	0.00898	1.003	0.00003003044	0.14099
9.0	42.1	obese	8.5	8.57	0.43230	0.00716	1.003	0.00022513218	0.43292
8.1	62.9	normal	-0.8	7.49	0.61027	0.00760	1.002	0.00047680215	0.61127
7.0	62.7	underweight	9.1	8.03	-1.02607	0.01005	1.002	0.00179124410	-1.02903
10.9	58.3	overweight	17.1	9.57	1.33198	0.00539	1.002	0.00160456623	1.33269
9.6	44.9	normal	13.2	8.14	1.45791	0.00394	1.002	0.00140079379	1.45762
8.2	53.8	normal	5.9	7.78	0.42108	0.00313	1.003	0.00009281260	0.42083
7.5	52.2	normal	2.3	7.32	0.18393	0.00494	1.003	0.00002798899	0.18398
8.7	60.6	overweight	5.9	8.47	0.22714	0.00463	1.003	0.00003998648	0.22717
9.3	51.3	obese	10.2	9.19	0.11365	0.00527	1.003	0.00001142699	0.11371
9.6	64.8	normal	14.4	9.21	0.38607	0.00448	1.003	0.00011172546	0.38610
7.7	51.3	overweight	0.3	7.43	0.26983	0.00804	1.003	0.00009874244	0.27033
9.4	65.5	underweight	15.1	8.80	0.59620	0.01170	1.002	0.00070677842	0.59842
7.4	44.5	normal	10.0	7.78	-0.37910	0.00361	1.003	0.00008664412	-0.37896
9.5	42.4	overweight	12.8	8.35	1.14760	0.00516	1.002	0.00113958159	1.14807
10.0	87.4	obese	1.7	9.98	0.01714	0.01686	1.003	0.00000085074	0.01725
6.5	50.8	overweight	6.7	8.09	-1.59456	0.00426	1.001	0.00181315563	-1.59450
7.6	58.0	underweight	7.8	7.66	-0.06363	0.00968	1.003	0.00000663079	-0.06380
9.5	61.4	normal	15.2	9.14	0.36115	0.00422	1.003	0.00009216258	0.36113
9.3	50.2	underweight	15.1	8.08	1.22109	0.01051	1.002	0.00265618831	1.22489
9.8	60.2	obese	12.2	9.82	-0.02304	0.00548	1.003	0.00000048803	-0.02305
7.8	58.7	overweight	18.0	9.68	-1.88373	0.00596	1.001	0.00355144913	-1.88527
7.9	52.8	normal	7.4	7.89	0.00719	0.00278	1.003	0.00000002400	0.00719
8.1	55.7	overweight	15.1	9.23	-1.12981	0.00431	1.002	0.00092087502	-1.12980
7.2	54.7	normal	9.8	8.24	-1.04086	0.00249	1.002	0.00044958867	-1.03989
8.5	76.3	overweight	6.7	9.30	-0.80271	0.00860	1.002	0.00093580727	-0.80443
8.5	47.6	obese	14.6	9.48	-0.98410	0.00677	1.002	0.00110334796	-0.98531
9.5	44.0	normal	16.9	8.50	1.00276	0.00567	1.002	0.00095639837	1.00343
7.9	55.4	normal	14.4	8.77	-0.86858	0.00339	1.002	0.00042730743	-0.86816
8.7	58.1	obese	7.5	9.22	-0.51824	0.00519	1.003	0.00023367715	-0.51846
8.4	59.4	normal	7.7	8.24	0.16224	0.00285	1.003	0.00001250223	0.16212
10.6	50.4	obese	16.9	9.86	0.73596	0.00755	1.002	0.00068920078	0.73716
6.7	44.4	underweight	11.8	7.45	-0.74933	0.01048	1.002	0.00099759714	-0.75165
9.0	67.6	overweight	14.1	9.69	-0.68610	0.00573	1.002	0.00045301353	-0.68659
7.4	51.5	normal	8.3	7.93	-0.52798	0.00271	1.003	0.00012612222	-0.52755
7.8	46.3	overweight	16.3	8.91	-1.11347	0.00544	1.002	0.00113136785	-1.11409
9.6	52.6	obese	6.0	8.80	0.80361	0.00568	1.002	0.00061602086	0.80416
6.3	53.0	normal	13.1	8.52	-2.21510	0.00298	1.000	0.00243798124	-2.21359
8.9	66.1	obese	5.9	9.43	-0.52525	0.00643	1.003	0.00029827621	-0.52580
6.6	55.8	obese	-2.3	8.06	-1.45565	0.01082	1.002	0.00388765913	-1.46042
6.0	62.5	normal	3.3	7.91	-1.91158	0.00470	1.001	0.00287822051	-1.91193
9.1	50.0	obese	10.7	9.18	-0.07851	0.00546	1.003	0.00000564401	-0.07856
10.8	57.1	overweight	14.4	9.22	1.57911	0.00412	1.001	0.00171981061	1.57895
8.8	51.8	normal	1.2	7.18	1.62114	0.00571	1.001	0.00251931484	1.62227
7.6	55.9	overweight	3.7	8.01	-0.41365	0.00540	1.003	0.00015497744	-0.41388
7.5	46.0	underweight	18.8	8.28	-0.77772	0.01304	1.002	0.00134416976	-0.78114
7.8	41.9	obese	7.8	8.48	-0.68296	0.00732	1.002	0.00057468255	-0.68399
11.2	75.0	obese	12.5	10.56	0.64351	0.00906	1.002	0.00063427316	0.64504
6.2	61.0	overweight	7.4	8.65	-2.45308	0.00420	1.000	0.00423236980	-2.45292
8.2	42.5	overweight	8.5	7.89	0.30516	0.00523	1.003	0.00008160838	0.30530
8.1	48.9	overweight	10.4	8.40	-0.30234	0.00380	1.003	0.00005805431	-0.30225
6.9	43.1	normal	10.1	7.72	-0.82352	0.00393	1.002	0.00044534953	-0.82335
8.2	77.0	obese	9.0	10.27	-2.07496	0.00935	1.000	0.00680851880	-2.08021
9.5	68.1	obese	7.7	9.71	-0.21352	0.00650	1.003	0.00004981561	-0.21376
5.9	52.3	obese	-5.2	7.58	-1.67804	0.01431	1.001	0.00688071257	-1.68651
9.4	60.4	normal	19.3	9.53	-0.13227	0.00670	1.003	0.00001971266	-0.13243
8.0	50.9	normal	19.0	9.05	-1.04993	0.00613	1.002	0.00113515161	-1.05088
8.0	50.2	overweight	4.5	7.83	0.17039	0.00525	1.003	0.00002557992	0.17047
8.2	47.1	normal	9.2	7.82	0.38373	0.00315	1.003	0.00007733424	0.38350
9.1	49.1	obese	16.9	9.80	-0.70244	0.00771	1.002	0.00064087912	-0.70364
9.1	71.5	overweight	15.0	9.97	-0.86764	0.00727	1.002	0.00092207309	-0.86892
8.2	54.5	normal	16.4	8.94	-0.74096	0.00432	1.002	0.00039691492	-0.74095
7.1	56.2	normal	4.6	7.75	-0.65286	0.00360	1.002	0.00025656157	-0.65262
8.7	57.4	overweight	22.9	10.15	-1.44895	0.00992	1.002	0.00352529728	-1.45303
7.5	67.3	normal	4.3	8.25	-0.74651	0.00514	1.002	0.00048017063	-0.74681
8.2	49.8	normal	13.8	8.44	-0.23875	0.00339	1.003	0.00003231624	-0.23864
8.1	45.1	overweight	10.7	8.25	-0.15455	0.00440	1.003	0.00001759977	-0.15456
9.2	71.8	normal	8.0	8.86	0.34250	0.00545	1.003	0.00010731362	0.34269
9.1	50.6	normal	8.1	7.86	1.23617	0.00281	1.002	0.00071786039	1.23522
8.2	47.8	overweight	5.0	7.77	0.43034	0.00532	1.003	0.00016530737	0.43056
10.4	42.6	overweight	18.1	8.93	1.46831	0.00712	1.002	0.00258520955	1.47037
7.0	42.2	normal	10.4	7.71	-0.71313	0.00416	1.002	0.00035368432	-0.71307
9.4	49.3	normal	11.3	8.15	1.25372	0.00290	1.002	0.00075960103	1.25282
9.8	61.2	overweight	11.0	9.05	0.75040	0.00387	1.002	0.00036425921	0.75023
8.4	66.1	obese	8.1	9.66	-1.26177	0.00602	1.002	0.00161045898	-1.26284
8.4	62.1	normal	4.3	8.00	0.39986	0.00417	1.003	0.00011146858	0.39983
6.5	51.4	underweight	11.3	7.73	-1.22722	0.00950	1.002	0.00241890053	-1.23041
8.2	55.6	normal	-0.5	7.18	1.02388	0.00687	1.002	0.00121196642	1.02518
6.6	48.0	normal	2.9	7.18	-0.58159	0.00506	1.003	0.00028680844	-0.58180
7.1	47.8	normal	4.6	7.35	-0.25488	0.00421	1.003	0.00004576957	-0.25487
8.5	63.8	obese	4.6	9.18	-0.67651	0.00648	1.002	0.00049887017	-0.67724
6.9	44.8	normal	10.5	7.85	-0.94707	0.00355	1.002	0.00053252413	-0.94670
12.7	74.6	obese	18.0	11.13	1.57114	0.01178	1.001	0.00493991593	1.57705
9.4	54.1	obese	2.4	8.48	0.91959	0.00719	1.002	0.00102314802	0.92091
9.7	57.1	overweight	12.2	8.98	0.71564	0.00361	1.002	0.00030897394	0.71538
8.9	47.6	overweight	14.5	8.78	0.11846	0.00455	1.003	0.00001069328	0.11847
8.2	49.3	normal	5.1	7.48	0.72029	0.00378	1.002	0.00032824584	0.72009
8.7	41.8	overweight	9.7	7.99	0.70931	0.00523	1.002	0.00044114683	0.70963
9.7	53.2	underweight	14.1	8.11	1.58646	0.01000	1.001	0.00426118045	1.59100
9.2	59.2	normal	8.7	8.34	0.86420	0.00271	1.002	0.00033746343	0.86350
8.1	58.2	normal	8.9	8.31	-0.20992	0.00262	1.003	0.00001925566	-0.20974
7.3	47.2	underweight	11.5	7.55	-0.24973	0.00996	1.003	0.00010513522	-0.25044
7.4	47.1	normal	9.7	7.87	-0.47003	0.00312	1.003	0.00011521522	-0.46974
7.9	50.0	overweight	7.2	8.11	-0.21041	0.00418	1.003	0.00003099657	-0.21040
8.7	70.0	normal	9.3	8.91	-0.21199	0.00480	1.003	0.00003610928	-0.21204
9.3	43.6	underweight	19.4	8.23	1.07148	0.01391	1.002	0.00272577806	1.07668
5.8	53.2	underweight	14.4	8.15	-2.34579	0.01010	1.000	0.00941270406	-2.35261
9.0	74.0	obese	5.4	9.75	-0.74578	0.00872	1.002	0.00081945234	-0.74743
7.9	54.0	overweight	3.8	7.93	-0.03439	0.00537	1.003	0.00000106437	-0.03440
7.1	41.4	obese	8.2	8.50	-1.40228	0.00741	1.002	0.00245272488	-1.40445
10.2	48.4	normal	16.6	8.67	1.52655	0.00478	1.002	0.00186503630	1.52689
8.4	59.9	normal	11.5	8.67	-0.26999	0.00288	1.003	0.00003506044	-0.26980
6.1	51.2	underweight	6.5	7.20	-1.10169	0.01005	1.002	0.00206571131	-1.10487
7.0	49.4	underweight	14.4	7.97	-0.96575	0.01032	1.002	0.00163081515	-0.96867
9.4	51.6	overweight	9.3	8.41	0.98801	0.00362	1.002	0.00059043641	0.98765
10.6	55.9	obese	4.4	8.78	1.81928	0.00609	1.001	0.00338555378	1.82089
9.2	71.0	normal	12.3	9.28	-0.08190	0.00548	1.003	0.00000616804	-0.08195
9.1	54.1	normal	17.6	9.05	0.04898	0.00504	1.003	0.00000202692	0.04900
8.6	65.8	overweight	12.2	9.40	-0.79655	0.00482	1.002	0.00051286341	-0.79675
10.0	61.3	normal	11.0	8.68	1.31743	0.00298	1.002	0.00086331566	1.31654
8.6	53.9	normal	6.7	7.87	0.73033	0.00290	1.002	0.00025803340	0.72981
4.9	39.7	underweight	12.8	7.33	-2.43416	0.01182	1.000	0.01189948219	-2.44336
7.3	49.8	overweight	4.6	7.82	-0.52141	0.00525	1.003	0.00023923007	-0.52165
7.9	50.1	obese	1.7	8.22	-0.31564	0.00804	1.003	0.00013515951	-0.31623
7.6	55.5	overweight	9.8	8.65	-1.05053	0.00346	1.002	0.00063892810	-1.05007
8.6	68.0	normal	9.8	8.87	-0.27099	0.00423	1.003	0.00005196783	-0.27097
9.9	77.9	overweight	21.8	11.00	-1.10194	0.01474	1.002	0.00306003332	-1.10775
8.8	70.5	normal	3.9	8.36	0.44489	0.00619	1.003	0.00020578468	0.44530
8.6	53.7	normal	10.9	8.31	0.28826	0.00255	1.003	0.00003540505	0.28800
9.6	37.4	obese	14.0	8.94	0.66367	0.00934	1.002	0.00069535348	0.66534
9.0	51.1	normal	15.3	8.66	0.33839	0.00387	1.003	0.00007411914	0.33831
9.9	55.9	normal	9.9	8.31	1.59154	0.00250	1.001	0.00105505845	1.59007
7.9	63.5	normal	6.3	8.28	-0.38149	0.00367	1.003	0.00008922374	-0.38137
6.5	64.6	normal	9.7	8.70	-2.19915	0.00344	1.000	0.00277726026	-2.19816
9.6	61.8	normal	19.7	9.64	-0.04161	0.00724	1.003	0.00000210926	-0.04167
8.4	41.0	normal	12.4	7.87	0.52870	0.00469	1.003	0.00021974086	0.52879
6.8	63.5	underweight	-0.2	7.06	-0.26411	0.01443	1.003	0.00017197154	-0.26546
9.6	50.5	underweight	17.1	8.31	1.29185	0.01146	1.002	0.00324768329	1.29650
9.2	56.7	underweight	12.7	8.13	1.07116	0.00967	1.002	0.00187768226	1.07404
9.3	55.7	overweight	9.8	8.66	0.64000	0.00347	1.002	0.00023733385	0.63972
9.0	59.3	overweight	9.9	8.84	0.15869	0.00365	1.003	0.00001538260	0.15863
7.6	55.2	normal	9.3	8.21	-0.61079	0.00250	1.002	0.00015535081	-0.61023
7.4	38.3	normal	11.3	7.63	-0.22512	0.00537	1.003	0.00004568665	-0.22524
9.8	62.4	obese	7.5	9.42	0.37803	0.00551	1.003	0.00013218167	0.37826
9.5	58.9	normal	11.4	8.61	0.88814	0.00277	1.002	0.00036485818	0.88744
7.9	52.3	overweight	5.3	8.02	-0.11511	0.00469	1.003	0.00001040719	-0.11513
8.2	56.2	overweight	11.0	8.81	-0.61270	0.00347	1.002	0.00021737358	-0.61244
11.3	56.3	normal	15.5	8.93	2.37052	0.00389	1.000	0.00366042628	2.37000
9.6	57.2	overweight	12.5	9.02	0.57865	0.00366	1.003	0.00020490020	0.57845
8.7	71.4	normal	15.2	9.61	-0.91264	0.00669	1.002	0.00093676973	-0.91372
9.0	52.8	overweight	4.5	7.95	1.04721	0.00504	1.002	0.00092677647	1.04758
8.9	56.7	overweight	10.3	8.76	0.13886	0.00347	1.003	0.00001119658	0.13880
10.0	66.7	normal	13.1	9.16	0.83581	0.00445	1.002	0.00052047358	0.83586
7.8	65.5	underweight	4.7	7.69	0.11432	0.01168	1.003	0.00002592539	0.11475
9.5	66.5	normal	17.8	9.66	-0.16002	0.00675	1.003	0.00002907930	-0.16021
8.0	49.2	overweight	4.8	7.81	0.18552	0.00522	1.003	0.00003012775	0.18560
10.7	75.0	obese	10.8	10.37	0.32628	0.00869	1.003	0.00015615193	0.32699
7.7	55.7	normal	10.8	8.40	-0.69575	0.00254	1.002	0.00020502887	-0.69512
8.6	73.7	normal	10.6	9.23	-0.62705	0.00615	1.002	0.00040603964	-0.62763
8.3	41.5	obese	8.9	8.58	-0.28227	0.00730	1.003	0.00009789635	-0.28269
9.2	55.2	overweight	12.2	8.89	0.30566	0.00355	1.003	0.00005543761	0.30554
9.0	67.5	obese	4.8	9.37	-0.37331	0.00707	1.003	0.00016589728	-0.37383
8.1	47.8	overweight	3.6	7.62	0.48086	0.00608	1.003	0.00023600062	0.48128
7.4	47.5	obese	6.7	8.63	-1.23002	0.00619	1.002	0.00157223523	-1.23116
6.3	45.6	normal	9.7	7.80	-1.49896	0.00339	1.002	0.00127190124	-1.49825
10.7	44.5	overweight	16.3	8.83	1.87181	0.00576	1.001	0.00338983522	1.87316
10.2	50.6	obese	17.9	9.98	0.21898	0.00818	1.003	0.00006615353	0.21940
8.2	58.3	normal	11.6	8.60	-0.40494	0.00276	1.003	0.00007539656	-0.40462
7.7	34.9	overweight	11.9	7.90	-0.20031	0.00751	1.003	0.00005078741	-0.20063
9.5	57.1	overweight	8.8	8.62	0.88118	0.00361	1.002	0.00046869459	0.88086
8.2	67.4	underweight	10.2	8.37	-0.16701	0.01103	1.003	0.00005219275	-0.16758
8.8	75.4	normal	3.0	8.49	0.30949	0.00836	1.003	0.00013515476	0.31012
9.3	68.0	overweight	11.4	9.41	-0.11477	0.00527	1.003	0.00001164461	-0.11483
7.9	62.6	normal	7.3	8.35	-0.44637	0.00330	1.003	0.00010967258	-0.44613
8.2	37.7	normal	11.7	7.64	0.56030	0.00562	1.003	0.00029627151	0.56067
8.4	49.0	overweight	8.3	8.18	0.21870	0.00403	1.003	0.00003222367	0.21867
9.5	51.5	overweight	6.7	8.13	1.37227	0.00420	1.002	0.00132422672	1.37218
8.4	62.0	obese	8.9	9.55	-1.15353	0.00533	1.002	0.00119028588	-1.15411
7.9	53.9	normal	8.2	8.03	-0.13093	0.00261	1.003	0.00000745009	-0.13082
8.5	42.4	overweight	15.5	8.64	-0.14269	0.00589	1.003	0.00002014219	-0.14280
8.1	71.8	normal	11.0	9.18	-1.08004	0.00550	1.002	0.00107656698	-1.08067
10.4	64.1	overweight	12.2	9.32	1.08399	0.00446	1.002	0.00087841979	1.08406
8.1	57.4	overweight	3.8	8.10	0.00453	0.00538	1.003	0.00000001848	0.00453
8.7	67.2	overweight	17.5	10.03	-1.33269	0.00721	1.002	0.00215452082	-1.33462
7.1	41.6	normal	10.8	7.73	-0.62771	0.00433	1.002	0.00028570636	-0.62771
7.5	61.6	overweight	5.7	8.50	-0.99873	0.00482	1.002	0.00080592497	-0.99898
9.7	49.8	overweight	11.5	8.56	1.13676	0.00372	1.002	0.00080362362	1.13641
11.6	61.8	normal	14.4	9.07	2.52820	0.00393	0.999	0.00420496728	2.52770
7.4	54.4	overweight	3.1	7.88	-0.47808	0.00577	1.003	0.00022144974	-0.47843
9.3	61.3	normal	18.5	9.49	-0.18891	0.00621	1.003	0.00003720796	-0.18908
9.1	68.4	normal	9.2	8.83	0.27457	0.00433	1.003	0.00005466776	0.27457
12.0	55.1	overweight	15.6	9.26	2.74486	0.00450	0.999	0.00567256721	2.74508
6.5	65.2	normal	10.4	8.80	-2.30284	0.00359	1.000	0.00318349058	-2.30198
7.0	43.1	normal	8.3	7.53	-0.53000	0.00406	1.003	0.00019075673	-0.52993
6.3	47.8	overweight	0.8	7.32	-1.01811	0.00807	1.002	0.00141162676	-1.02002
9.2	70.2	obese	4.5	9.47	-0.26898	0.00785	1.003	0.00009570502	-0.26946
9.1	58.8	obese	9.8	9.50	-0.39868	0.00507	1.003	0.00013500460	-0.39883
6.9	34.5	normal	14.1	7.75	-0.84611	0.00736	1.002	0.00088778459	-0.84740
8.5	41.4	normal	0.6	6.62	1.87839	0.00816	1.001	0.00485472245	1.88200
8.6	53.0	underweight	16.9	8.41	0.19491	0.01124	1.003	0.00007247828	0.19559
11.3	63.7	underweight	17.0	8.92	2.37721	0.01229	1.000	0.01180994924	2.38676
8.0	54.0	underweight	4.3	7.10	0.90218	0.01079	1.002	0.00148947660	0.90512
8.0	61.2	overweight	12.4	9.20	-1.20011	0.00402	1.002	0.00096865495	-1.19992
7.5	64.6	normal	4.8	8.17	-0.67234	0.00436	1.002	0.00032979626	-0.67235
8.8	71.7	underweight	9.4	8.48	0.31527	0.01234	1.003	0.00020866440	0.31655
7.7	55.6	underweight	14.6	8.28	-0.58100	0.01019	1.003	0.00058246052	-0.58271
9.0	54.5	normal	14.3	8.72	0.28482	0.00334	1.003	0.00004530269	0.28468
7.7	37.5	normal	5.8	7.00	0.70410	0.00643	1.002	0.00053544369	0.70484
9.0	56.0	overweight	8.1	8.49	0.50856	0.00370	1.003	0.00015990557	0.50839
7.3	49.3	normal	5.1	7.48	-0.17971	0.00378	1.003	0.00002043198	-0.17966
7.8	45.3	overweight	11.7	8.37	-0.57154	0.00439	1.003	0.00024024086	-0.57156
6.6	53.2	overweight	2.2	7.72	-1.12447	0.00641	1.002	0.00136331154	-1.12564
8.8	65.1	obese	-3.1	8.41	0.38974	0.01215	1.003	0.00031380130	0.39128
9.9	35.1	obese	17.3	9.18	0.71785	0.01180	1.002	0.00103307249	0.72055
9.1	50.7	normal	21.4	9.30	-0.19848	0.00821	1.003	0.00005455285	-0.19887
9.8	56.2	obese	7.7	9.15	0.65028	0.00513	1.002	0.00036405857	0.65054
10.9	46.1	overweight	13.8	8.64	2.26478	0.00459	1.000	0.00394003843	2.26507
10.3	58.3	normal	10.0	8.43	1.86708	0.00261	1.001	0.00151504623	1.86546
8.7	59.1	normal	17.4	9.27	-0.56641	0.00517	1.003	0.00027784038	-0.56665
9.1	54.7	normal	12.8	8.56	0.53661	0.00287	1.003	0.00013796382	0.53621
6.4	30.3	normal	11.0	7.21	-0.81384	0.00872	1.002	0.00097494489	-0.81563
9.8	80.7	overweight	1.0	8.90	0.90164	0.01356	1.002	0.00188006483	0.90585
9.1	52.9	overweight	15.4	9.13	-0.02941	0.00443	1.003	0.00000064096	-0.02941
9.7	61.5	obese	8.2	9.45	0.24542	0.00533	1.003	0.00005379906	0.24554
6.8	57.7	normal	3.0	7.65	-0.85191	0.00443	1.002	0.00053839303	-0.85195
10.9	65.2	obese	9.0	9.72	1.18411	0.00580	1.002	0.00136556570	1.18498
9.0	63.2	overweight	9.4	8.97	0.02767	0.00419	1.003	0.00000053688	0.02766
8.2	52.9	normal	15.3	8.75	-0.54689	0.00378	1.003	0.00018920942	-0.54674
7.8	58.8	normal	4.2	7.83	-0.03304	0.00388	1.003	0.00000070865	-0.03303
8.1	45.5	overweight	7.2	7.90	0.20279	0.00487	1.003	0.00003355509	0.20284
12.1	63.6	obese	17.4	10.54	1.55681	0.00827	1.001	0.00338343892	1.55990
8.1	50.4	overweight	16.8	9.16	-1.06148	0.00519	1.002	0.00098126138	-1.06194
13.5	79.2	obese	15.8	11.11	2.38973	0.01233	1.000	0.01197715158	2.39938
8.0	38.5	overweight	18.3	8.76	-0.75894	0.00837	1.002	0.00081380560	-0.76049
8.3	50.4	normal	11.0	8.17	0.13386	0.00275	1.003	0.00000822861	0.13375
6.8	63.3	overweight	7.1	8.73	-1.92979	0.00461	1.001	0.00287499297	-1.93006
8.1	60.1	normal	12.8	8.82	-0.71923	0.00318	1.002	0.00027444224	-0.71882
9.2	49.1	normal	15.3	8.57	0.63315	0.00404	1.002	0.00027127446	0.63306
9.0	45.0	underweight	22.1	8.59	0.41487	0.01597	1.003	0.00047112090	0.41732
8.3	56.4	overweight	0.2	7.66	0.63895	0.00791	1.002	0.00054437268	0.64010
7.9	54.9	normal	11.4	8.42	-0.52235	0.00260	1.003	0.00011828654	-0.52190
5.3	37.1	underweight	13.3	7.26	-1.96473	0.01277	1.001	0.00839009284	-1.97311
7.2	55.3	normal	9.7	8.26	-1.05853	0.00249	1.002	0.00046508017	-1.05755
7.3	56.9	normal	2.2	7.53	-0.22800	0.00488	1.003	0.00004250584	-0.22806
8.8	56.7	underweight	13.7	8.24	0.56364	0.00993	1.003	0.00053405809	0.56524
8.2	44.4	normal	6.1	7.36	0.84494	0.00428	1.002	0.00051131315	0.84491
7.9	59.8	underweight	12.5	8.25	-0.35421	0.00988	1.003	0.00020981685	-0.35520
9.2	68.8	normal	14.5	9.41	-0.21420	0.00553	1.003	0.00004257619	-0.21433
9.5	59.6	overweight	16.4	9.55	-0.05435	0.00515	1.003	0.00000255223	-0.05438
8.0	43.6	obese	2.2	7.96	0.03856	0.00910	1.003	0.00000228572	0.03865
10.1	50.6	normal	15.4	8.65	1.45133	0.00395	1.002	0.00139235756	1.45105
8.3	58.5	obese	6.2	9.10	-0.79742	0.00548	1.002	0.00058500956	-0.79789
7.6	48.5	overweight	3.6	7.65	-0.05230	0.00597	1.003	0.00000274253	-0.05235
7.9	33.4	normal	16.6	7.96	-0.06278	0.00887	1.003	0.00000590466	-0.06292
7.9	63.8	normal	15.7	9.31	-1.40632	0.00487	1.002	0.00161536230	-1.40670
7.3	46.7	overweight	8.8	8.13	-0.82608	0.00427	1.002	0.00048814779	-0.82606
8.0	49.3	underweight	13.8	7.90	0.10349	0.01014	1.003	0.00001839496	0.10380
8.5	70.0	underweight	5.7	8.01	0.49361	0.01246	1.003	0.00051636774	0.49563
8.9	47.3	normal	9.2	7.83	1.07425	0.00311	1.002	0.00059987057	1.07359
8.7	63.5	overweight	9.5	9.00	-0.29730	0.00424	1.003	0.00006265773	-0.29728
9.4	42.4	overweight	8.6	7.90	1.49915	0.00523	1.002	0.00197191365	1.49982
7.1	51.5	underweight	13.7	7.99	-0.88999	0.00994	1.002	0.00133295139	-0.89250
8.4	54.3	obese	17.7	10.13	-1.73482	0.00781	1.001	0.00396447652	-1.73786
6.0	43.3	overweight	7.7	7.85	-1.84673	0.00521	1.001	0.00298093252	-1.84755
9.0	48.7	normal	9.8	7.96	1.04341	0.00289	1.002	0.00052508087	1.04266
8.9	54.7	underweight	18.2	8.63	0.27460	0.01204	1.003	0.00015437035	0.27567
9.3	61.7	obese	8.4	9.49	-0.18556	0.00533	1.003	0.00003077655	-0.18565
5.8	38.5	normal	-3.0	6.10	-0.29717	0.01254	1.003	0.00018839762	-0.29841
9.9	51.5	normal	12.6	8.39	1.50972	0.00292	1.002	0.00111239755	1.50865
9.9	62.6	overweight	5.6	8.54	1.36464	0.00500	1.002	0.00156058820	1.36509
7.5	49.6	obese	5.0	8.55	-1.04674	0.00638	1.002	0.00117464719	-1.04782
8.2	57.3	overweight	17.1	9.52	-1.32064	0.00532	1.002	0.00155493251	-1.32129
11.8	59.9	obese	22.2	10.88	0.91606	0.01196	1.002	0.00170665647	0.91959
8.9	57.7	overweight	4.8	8.22	0.68280	0.00487	1.002	0.00038062268	0.68299
8.6	61.5	normal	15.2	9.14	-0.54359	0.00424	1.003	0.00020952704	-0.54357
8.5	53.8	normal	9.5	8.17	0.33404	0.00251	1.003	0.00004661958	0.33373
7.1	50.9	obese	10.7	9.22	-2.12115	0.00535	1.000	0.00403843911	-2.12224
6.9	28.6	normal	16.1	7.68	-0.78160	0.01091	1.002	0.00113030401	-0.78420
8.7	54.1	normal	11.1	8.35	0.34781	0.00257	1.003	0.00005179650	0.34750
8.5	59.3	overweight	5.7	8.39	0.11024	0.00458	1.003	0.00000932452	0.11025
7.5	60.4	overweight	7.6	8.65	-1.14615	0.00409	1.002	0.00089807267	-1.14601
9.3	49.4	normal	13.4	8.38	0.92321	0.00331	1.002	0.00047137026	0.92273
9.6	72.8	overweight	-1.7	8.23	1.36622	0.01253	1.002	0.00398022649	1.37187
9.0	57.9	obese	15.5	10.07	-1.06886	0.00655	1.002	0.00125823633	-1.07005
7.3	56.3	normal	2.2	7.50	-0.19957	0.00487	1.003	0.00003250101	-0.19962
9.6	67.7	normal	10.1	8.89	0.71097	0.00416	1.002	0.00035209021	0.71091
9.2	47.8	overweight	9.0	8.20	1.00030	0.00407	1.002	0.00068098886	1.00016
8.6	50.5	overweight	16.5	9.13	-0.53396	0.00504	1.003	0.00024073168	-0.53415
8.7	79.0	normal	10.9	9.51	-0.81041	0.00852	1.002	0.00094454235	-0.81212
9.7	55.1	obese	10.5	9.40	0.30136	0.00506	1.003	0.00007696935	0.30147
8.0	71.3	overweight	13.5	9.80	-1.79690	0.00669	1.001	0.00363178697	-1.79903
7.2	40.6	obese	5.9	8.22	-1.01710	0.00821	1.002	0.00143283834	-1.01908
9.8	53.1	obese	9.0	9.14	0.65739	0.00512	1.002	0.00037114938	0.65765
7.3	58.8	normal	15.9	9.09	-1.79093	0.00426	1.001	0.00228735223	-1.79086
7.5	58.0	normal	13.4	8.78	-1.28425	0.00316	1.002	0.00086973626	-1.28349
7.9	44.9	obese	3.6	8.17	-0.27355	0.00795	1.003	0.00010025094	-0.27405
8.3	55.2	normal	13.2	8.63	-0.33009	0.00298	1.003	0.00005424159	-0.32986
5.8	44.2	overweight	3.1	7.39	-1.59482	0.00710	1.001	0.00303788271	-1.59704
8.8	62.1	normal	7.0	8.29	0.50958	0.00328	1.003	0.00014240020	0.50931
8.9	65.8	overweight	16.1	9.82	-0.91585	0.00609	1.002	0.00085748397	-0.91665
5.9	32.8	normal	-1.3	6.01	-0.10989	0.01318	1.003	0.00002712271	-0.11038
8.8	67.4	obese	1.1	8.97	-0.17078	0.00898	1.003	0.00004424412	-0.17118
9.5	42.6	overweight	16.5	8.76	0.74033	0.00627	1.002	0.00057739857	0.74105
8.0	59.5	normal	5.9	8.05	-0.04898	0.00328	1.003	0.00000131475	-0.04895
9.1	61.6	normal	16.2	9.26	-0.15584	0.00476	1.003	0.00001937452	-0.15588
9.7	53.0	normal	9.2	8.10	1.60419	0.00254	1.001	0.00109154453	1.60275
8.5	48.5	normal	12.1	8.19	0.30561	0.00311	1.003	0.00004849614	0.30543
10.4	56.7	obese	14.1	9.86	0.53851	0.00589	1.003	0.00028681206	0.53893
8.6	59.4	normal	6.7	8.13	0.46975	0.00305	1.003	0.00011236725	0.46945
9.1	63.8	normal	8.5	8.53	0.56777	0.00333	1.003	0.00017922996	0.56748
8.4	34.5	normal	7.9	7.08	1.32046	0.00701	1.002	0.00205716262	1.32224
9.3	38.6	overweight	24.1	9.39	-0.08725	0.01327	1.003	0.00001722026	-0.08764
10.3	69.3	obese	10.6	10.08	0.21784	0.00680	1.003	0.00005427630	0.21811
11.0	65.5	normal	12.4	9.03	1.96793	0.00398	1.001	0.00257575816	1.96757
7.8	59.4	normal	8.3	8.30	-0.50227	0.00276	1.003	0.00011633647	-0.50187
10.8	62.2	obese	8.8	9.55	1.24774	0.00536	1.002	0.00139986644	1.24839
9.8	64.2	obese	16.9	10.52	-0.71786	0.00805	1.002	0.00069952468	-0.71920
8.0	28.4	underweight	8.3	6.31	1.68502	0.01663	1.001	0.00810089226	1.69552
8.6	66.1	overweight	10.1	9.18	-0.58499	0.00474	1.003	0.00027164783	-0.58511
7.4	50.2	normal	11.9	8.25	-0.85343	0.00289	1.002	0.00035103893	-0.85281
9.7	57.3	overweight	7.8	8.52	1.17922	0.00380	1.002	0.00088446301	1.17890
10.5	52.0	overweight	19.8	9.56	0.94018	0.00701	1.002	0.00104333996	0.94145
8.5	63.7	normal	2.9	7.93	0.57457	0.00510	1.003	0.00028220884	0.57479
9.9	51.5	overweight	20.1	9.57	0.33162	0.00727	1.003	0.00013456074	0.33211
8.1	60.2	underweight	8.2	7.81	0.28914	0.00980	1.003	0.00013872227	0.28993
10.8	51.1	normal	16.8	8.82	1.97712	0.00464	1.001	0.00304050311	1.97743
5.8	44.1	overweight	0.0	7.06	-1.25680	0.00953	1.002	0.00254521466	-1.26009
8.3	67.1	normal	14.8	9.37	-1.06591	0.00519	1.002	0.00098886923	-1.06637
7.8	62.4	normal	14.4	9.10	-1.30022	0.00403	1.002	0.00113895893	-1.30002
9.4	72.2	normal	3.6	8.40	0.99660	0.00688	1.002	0.00114888349	0.99787
8.2	55.7	overweight	6.2	8.27	-0.07296	0.00423	1.003	0.00000376966	-0.07295
8.8	66.3	normal	11.0	8.92	-0.11946	0.00390	1.003	0.00000930406	-0.11943
11.6	74.8	normal	15.7	9.83	1.77252	0.00825	1.001	0.00437394208	1.77602
7.1	52.2	normal	6.2	7.74	-0.63537	0.00312	1.002	0.00021020182	-0.63498
9.5	41.8	normal	8.9	7.53	1.96709	0.00432	1.001	0.00279853424	1.96707
8.0	52.6	overweight	17.9	9.38	-1.38397	0.00569	1.002	0.00182993408	-1.38492
8.9	52.9	normal	4.4	7.58	1.32499	0.00376	1.002	0.00110270990	1.32461
9.6	56.5	overweight	14.7	9.22	0.37529	0.00419	1.003	0.00009882850	0.37526
9.9	72.1	obese	12.2	10.39	-0.48684	0.00794	1.003	0.00031731813	-0.48773
7.4	51.7	normal	4.5	7.53	-0.12891	0.00379	1.003	0.00001053558	-0.12887
10.4	58.7	obese	6.7	9.16	1.23934	0.00537	1.002	0.00138271792	1.23999
10.2	52.7	normal	13.9	8.59	1.61310	0.00323	1.001	0.00140480080	1.61221
6.7	55.2	normal	11.2	8.42	-1.71506	0.00257	1.001	0.00126328867	-1.71355
12.5	58.1	normal	17.1	9.19	3.31322	0.00488	0.997	0.00898438184	3.31414
12.2	68.3	obese	7.0	9.65	2.55226	0.00665	0.999	0.00728828754	2.55524
6.9	56.2	normal	1.4	7.41	-0.50882	0.00540	1.003	0.00023444017	-0.50910
8.6	62.1	underweight	15.2	8.65	-0.05347	0.01107	1.003	0.00000536809	-0.05365
7.7	62.8	normal	7.0	8.32	-0.62359	0.00339	1.002	0.00021998041	-0.62329
8.7	64.1	normal	10.6	8.77	-0.07222	0.00339	1.003	0.00000295269	-0.07219
10.1	49.3	overweight	18.6	9.30	0.79712	0.00634	1.002	0.00067689056	0.79792
9.0	71.3	normal	8.7	8.91	0.09093	0.00523	1.003	0.00000724856	0.09097
10.0	51.2	obese	17.7	9.99	0.01205	0.00799	1.003	0.00000019560	0.01207
10.1	53.9	obese	4.5	8.70	1.40329	0.00613	1.002	0.00202772565	1.40455
7.2	69.0	normal	14.6	9.43	-2.23442	0.00563	1.000	0.00471979477	-2.23588
9.0	67.9	overweight	11.2	9.39	-0.38853	0.00523	1.003	0.00013228675	-0.38871
7.0	44.1	underweight	6.3	6.84	0.15620	0.01119	1.003	0.00004632249	0.15674
7.4	46.3	obese	3.6	8.24	-0.83988	0.00762	1.002	0.00090553378	-0.84127
9.7	41.4	obese	10.4	8.74	0.96120	0.00730	1.002	0.00113509752	0.96263
7.5	56.8	underweight	11.3	7.98	-0.48306	0.00946	1.003	0.00037317057	-0.48431
8.0	56.6	normal	11.4	8.50	-0.50289	0.00263	1.003	0.00011105974	-0.50246
10.4	58.6	overweight	12.7	9.11	1.29082	0.00379	1.002	0.00105616264	1.29047
9.1	60.5	normal	7.7	8.29	0.81012	0.00295	1.002	0.00032353230	0.80956
8.5	49.0	obese	7.4	8.78	-0.27634	0.00577	1.003	0.00007399932	-0.27654
8.0	45.1	overweight	11.2	8.31	-0.30831	0.00441	1.003	0.00007011712	-0.30832
8.0	65.3	obese	7.3	9.54	-1.53786	0.00598	1.001	0.00237340304	-1.53913
8.5	62.5	normal	16.1	9.29	-0.78773	0.00485	1.002	0.00050432371	-0.78794
10.7	39.9	overweight	10.9	8.03	2.67031	0.00571	0.999	0.00683299937	2.67216
8.4	54.0	overweight	6.9	8.27	0.13233	0.00401	1.003	0.00001174964	0.13231
8.3	46.0	overweight	1.0	7.25	1.04567	0.00824	1.002	0.00152028393	1.04773
7.7	34.3	obese	6.8	8.02	-0.31537	0.01042	1.003	0.00017564364	-0.31634
9.5	56.5	underweight	20.2	8.93	0.57429	0.01363	1.003	0.00076660096	0.57699
8.4	54.2	overweight	7.2	8.31	0.09060	0.00392	1.003	0.00000537883	0.09058
9.1	54.0	normal	5.8	7.78	1.32236	0.00316	1.002	0.00092318139	1.32158
8.2	57.2	normal	13.3	8.74	-0.53559	0.00308	1.003	0.00014741135	-0.53526
7.2	63.8	normal	12.2	8.93	-1.73003	0.00358	1.001	0.00179216094	-1.72938
9.6	57.1	normal	13.8	8.78	0.81539	0.00323	1.002	0.00035897647	0.81494
8.6	48.8	obese	8.6	8.90	-0.29588	0.00563	1.003	0.00008277643	-0.29608
10.4	47.7	overweight	15.6	8.90	1.49546	0.00493	1.002	0.00184787345	1.49591
8.2	53.7	overweight	4.1	7.95	0.24757	0.00521	1.003	0.00005355268	0.24768
10.3	58.1	overweight	9.8	8.77	1.52629	0.00357	1.002	0.00138838438	1.52570
8.2	44.6	overweight	6.5	7.78	0.42069	0.00529	1.003	0.00015699976	0.42089
8.1	53.2	normal	13.4	8.56	-0.45683	0.00306	1.003	0.00010649371	-0.45654
10.5	64.7	obese	10.7	9.87	0.62503	0.00580	1.002	0.00038015286	0.62549
8.8	53.9	overweight	15.5	9.19	-0.38754	0.00445	1.003	0.00011187733	-0.38756
11.6	48.0	obese	20.3	10.12	1.48413	0.01038	1.002	0.00387524487	1.48866
8.3	52.2	normal	10.7	8.22	0.08083	0.00260	1.003	0.00000282997	0.08076
6.5	66.1	normal	7.3	8.51	-2.01219	0.00395	1.001	0.00267412078	-2.01180
7.1	60.5	underweight	5.9	7.58	-0.47780	0.01041	1.003	0.00040252340	-0.47926
7.1	67.4	normal	8.7	8.72	-1.62430	0.00409	1.001	0.00180469102	-1.62410
6.1	56.4	normal	9.7	8.31	-2.21065	0.00251	1.000	0.00204457968	-2.20862
10.0	59.1	overweight	20.0	9.92	0.08229	0.00743	1.003	0.00000847002	0.08242
7.6	49.4	underweight	4.4	6.89	0.70937	0.01107	1.002	0.00094557445	0.71178
8.2	61.1	obese	4.5	9.04	-0.83784	0.00622	1.002	0.00073326155	-0.83863
7.0	49.9	overweight	8.0	8.19	-1.19169	0.00399	1.002	0.00094723257	-1.19148
7.7	40.8	overweight	12.9	8.29	-0.58735	0.00560	1.003	0.00032431095	-0.58772
7.7	56.3	overweight	14.1	9.15	-1.45073	0.00399	1.002	0.00140504996	-1.45048
9.0	74.5	underweight	5.5	8.20	0.80191	0.01411	1.002	0.00154858997	0.80587
9.3	63.0	normal	10.6	8.72	0.57989	0.00319	1.003	0.00017930721	0.57956
7.7	66.7	overweight	9.8	9.18	-1.48116	0.00489	1.002	0.00179685154	-1.48158
9.4	58.6	obese	16.0	10.16	-0.75578	0.00685	1.002	0.00065830697	-0.75674
10.5	48.9	obese	15.4	9.63	0.86830	0.00693	1.002	0.00087863834	0.86943
7.3	53.0	underweight	8.4	7.49	-0.19124	0.00951	1.003	0.00005881683	-0.19174
9.1	52.3	obese	10.2	9.23	-0.13373	0.00518	1.003	0.00001554168	-0.13378
8.8	50.3	normal	13.3	8.41	0.39132	0.00319	1.003	0.00008170563	0.39109
9.4	62.0	obese	1.7	8.78	0.62055	0.00776	1.002	0.00050366391	0.62163
9.7	43.0	obese	8.4	8.60	1.10041	0.00691	1.002	0.00140809551	1.10184
10.2	63.7	overweight	12.9	9.37	0.82769	0.00452	1.002	0.00051835688	0.82776
6.5	63.6	underweight	7.4	7.89	-1.38594	0.01044	1.002	0.00339842791	-1.39021
7.3	43.0	normal	9.7	7.68	-0.37578	0.00396	1.003	0.00009345767	-0.37571
8.4	61.4	underweight	9.9	8.05	0.34951	0.00982	1.003	0.00020303511	0.35048
9.5	79.3	overweight	6.4	9.41	0.08741	0.01007	1.003	0.00001303240	0.08766
5.3	49.4	normal	5.0	7.47	-2.17369	0.00381	1.000	0.00301166070	-2.17312
8.3	63.4	overweight	9.0	8.94	-0.63880	0.00426	1.002	0.00029120334	-0.63878
8.7	47.2	normal	8.3	7.72	0.97575	0.00322	1.002	0.00051216689	0.97520
9.9	66.1	overweight	14.2	9.63	0.27421	0.00538	1.003	0.00006790293	0.27436
8.2	57.5	overweight	17.6	9.58	-1.38387	0.00561	1.002	0.00180465185	-1.38477
10.3	71.5	obese	9.9	10.11	0.18886	0.00737	1.003	0.00004427121	0.18915
8.1	40.4	overweight	12.0	8.17	-0.07164	0.00560	1.003	0.00000482661	-0.07168
9.4	54.5	overweight	9.6	8.58	0.81836	0.00348	1.002	0.00038914105	0.81800
10.4	49.7	normal	13.0	8.35	2.05200	0.00317	1.001	0.00222911696	2.05080
7.2	53.0	overweight	11.1	8.67	-1.47184	0.00348	1.002	0.00125970086	-1.47121
7.5	48.7	normal	11.2	8.11	-0.60710	0.00296	1.002	0.00018185053	-0.60668
8.3	46.7	normal	15.6	8.49	-0.18540	0.00450	1.003	0.00002589572	-0.18541
6.9	60.8	obese	5.1	9.09	-2.18813	0.00596	1.000	0.00479477122	-2.18992
8.9	44.1	overweight	17.2	8.91	-0.00600	0.00629	1.003	0.00000003803	-0.00601
9.1	69.8	overweight	11.7	9.53	-0.43231	0.00583	1.003	0.00018288595	-0.43263
10.5	43.1	overweight	10.9	8.18	2.31870	0.00484	1.000	0.00435868267	2.31929
6.1	56.0	obese	7.2	9.09	-2.98649	0.00522	0.998	0.00781101872	-2.98782
9.9	60.3	normal	9.2	8.44	1.45833	0.00279	1.002	0.00098849950	1.45720
9.7	60.9	normal	11.9	8.76	0.93962	0.00307	1.002	0.00045208674	0.93903
7.8	52.0	normal	-0.3	7.03	0.77294	0.00687	1.002	0.00069053988	0.77392
9.1	55.8	obese	7.0	9.06	0.04449	0.00527	1.003	0.00000174773	0.04451
8.8	64.6	overweight	12.9	9.41	-0.61496	0.00470	1.002	0.00029745041	-0.61507
9.0	40.4	overweight	8.5	7.80	1.20465	0.00581	1.002	0.00141575671	1.20555
6.6	47.2	normal	6.0	7.48	-0.87697	0.00376	1.002	0.00048385434	-0.87672
9.3	58.2	overweight	6.8	8.46	0.84409	0.00412	1.002	0.00049083570	0.84400
8.5	50.6	normal	11.2	8.20	0.30288	0.00275	1.003	0.00004216845	0.30264
9.2	68.7	normal	1.8	8.04	1.15594	0.00682	1.002	0.00153274064	1.15739
8.4	61.7	normal	14.4	9.07	-0.66706	0.00392	1.002	0.00029160902	-0.66692
6.6	55.7	normal	-0.8	7.15	-0.54861	0.00713	1.003	0.00036126790	-0.54938
7.5	39.9	normal	7.5	7.29	0.20762	0.00510	1.003	0.00003688851	0.20770
9.2	55.3	obese	6.1	8.94	0.26494	0.00550	1.003	0.00006477102	0.26509
9.8	51.8	obese	3.8	8.52	1.27804	0.00662	1.002	0.00181921706	1.27951
8.1	54.0	normal	4.6	7.65	0.45137	0.00362	1.003	0.00012330973	0.45121
7.4	43.2	underweight	11.3	7.34	0.06128	0.01070	1.003	0.00000681250	0.06148
9.3	60.0	normal	9.4	8.45	0.85104	0.00275	1.002	0.00033215000	0.85037
7.5	44.6	overweight	8.5	7.99	-0.49434	0.00473	1.003	0.00019369772	-0.49443
8.6	52.7	overweight	-1.6	7.29	1.30777	0.00972	1.002	0.00281178320	1.31132
6.3	58.8	underweight	3.4	7.23	-0.92848	0.01137	1.002	0.00166435691	-0.93178
9.1	47.2	obese	9.3	8.90	0.20466	0.00586	1.003	0.00004124894	0.20482
6.9	60.8	overweight	5.6	8.45	-1.55008	0.00477	1.001	0.00191850345	-1.55042
7.4	41.8	normal	6.0	7.22	0.17887	0.00497	1.003	0.00002663401	0.17893
6.3	26.9	overweight	15.2	7.88	-1.57607	0.01202	1.001	0.00507719589	-1.58219
9.3	59.6	obese	10.9	9.65	-0.35485	0.00520	1.003	0.00010980340	-0.35500
6.9	63.4	overweight	4.8	8.49	-1.58726	0.00547	1.001	0.00231107055	-1.58816
7.2	52.1	normal	7.7	7.89	-0.69190	0.00276	1.002	0.00022071090	-0.69135
7.6	60.0	normal	8.6	8.36	-0.76295	0.00279	1.002	0.00027104096	-0.76236
8.9	43.4	obese	6.6	8.43	0.47498	0.00715	1.003	0.00027170549	0.47566
7.6	53.7	overweight	5.2	8.07	-0.47069	0.00466	1.003	0.00017310521	-0.47077
7.5	35.6	obese	9.7	8.39	-0.88875	0.00941	1.002	0.00125651368	-0.89102
11.4	66.8	obese	13.7	10.30	1.10300	0.00695	1.002	0.00142368238	1.10445
11.0	73.6	normal	11.1	9.28	1.72393	0.00617	1.001	0.00308304887	1.72552
9.8	65.7	normal	9.0	8.68	1.12399	0.00367	1.002	0.00077580644	1.12362
7.4	54.7	overweight	11.9	8.84	-1.43840	0.00351	1.002	0.00121367624	-1.43780
9.9	54.7	normal	14.0	8.69	1.20759	0.00323	1.002	0.00078766414	1.20693
7.2	39.8	obese	9.3	8.54	-1.34474	0.00782	1.002	0.00238303365	-1.34709
8.8	62.9	normal	12.3	8.90	-0.09814	0.00345	1.003	0.00000554490	-0.09809
8.3	52.9	normal	4.3	7.56	0.73574	0.00380	1.002	0.00034416690	0.73554
8.1	48.4	overweight	8.8	8.21	-0.10663	0.00401	1.003	0.00000763434	-0.10661
7.2	40.9	normal	7.9	7.38	-0.18276	0.00472	1.003	0.00002640637	-0.18280
8.8	52.0	overweight	11.0	8.61	0.18628	0.00352	1.003	0.00002042919	0.18621
8.9	46.5	overweight	11.8	8.44	0.46086	0.00418	1.003	0.00014873879	0.46082
9.4	51.0	obese	9.4	9.09	0.31388	0.00530	1.003	0.00008750004	0.31403
5.5	42.8	normal	6.2	7.29	-1.79001	0.00463	1.001	0.00248590350	-1.79028
8.5	71.9	normal	5.4	8.58	-0.08271	0.00605	1.003	0.00000695518	-0.08278
9.2	54.8	overweight	11.4	8.79	0.41062	0.00347	1.003	0.00009763217	0.41044
10.6	65.7	overweight	16.8	9.89	0.71363	0.00642	1.002	0.00054982839	0.71438
7.2	29.0	obese	6.1	7.69	-0.48901	0.01336	1.003	0.00054450396	-0.49124
7.1	50.5	normal	8.1	7.86	-0.75910	0.00282	1.002	0.00027160691	-0.75852
7.2	48.2	overweight	11.7	8.51	-1.30894	0.00392	1.002	0.00112366674	-1.30866
7.1	42.8	overweight	7.2	7.77	-0.66929	0.00548	1.002	0.00041183974	-0.66967
8.5	70.5	underweight	10.6	8.56	-0.05689	0.01196	1.003	0.00000658167	-0.05711
6.4	40.8	underweight	9.8	7.06	-0.66374	0.01131	1.002	0.00084588363	-0.66608
8.6	58.2	normal	6.1	8.01	0.59111	0.00313	1.003	0.00018251219	0.59076
9.5	63.5	normal	14.2	9.13	0.36916	0.00414	1.003	0.00009438567	0.36913
7.7	56.8	overweight	14.2	9.19	-1.48517	0.00404	1.002	0.00149192432	-1.48495
9.6	46.2	obese	15.1	9.47	0.12847	0.00724	1.003	0.00002012074	0.12866
10.4	64.4	overweight	16.3	9.77	0.62898	0.00587	1.002	0.00039003646	0.62947
7.8	56.7	normal	7.5	8.09	-0.28834	0.00272	1.003	0.00003777736	-0.28810
7.5	44.4	normal	7.7	7.53	-0.02708	0.00386	1.003	0.00000047334	-0.02708
7.3	41.1	normal	11.3	7.76	-0.45778	0.00451	1.003	0.00015819420	-0.45782
9.3	75.9	normal	13.2	9.61	-0.31082	0.00763	1.003	0.00012421746	-0.31133
7.2	48.2	overweight	8.3	8.14	-0.94340	0.00413	1.002	0.00061550232	-0.94330
8.5	36.4	obese	7.9	8.23	0.26687	0.00926	1.003	0.00011147234	0.26753
7.0	60.3	normal	6.9	8.19	-1.19439	0.00309	1.002	0.00073523868	-1.19364
9.1	58.1	overweight	17.4	9.59	-0.49080	0.00554	1.003	0.00022409169	-0.49110
5.4	41.5	normal	-2.5	6.29	-0.89307	0.01099	1.002	0.00148729150	-0.89607
6.3	35.6	normal	9.2	7.27	-0.97142	0.00637	1.002	0.00101008902	-0.97242
8.8	53.8	obese	10.2	9.30	-0.50479	0.00508	1.003	0.00021717397	-0.50498
8.3	66.4	overweight	4.7	8.62	-0.31864	0.00609	1.003	0.00010394418	-0.31892
8.6	61.4	overweight	11.9	9.16	-0.55583	0.00397	1.003	0.00020538870	-0.55573
7.3	50.1	overweight	0.2	7.36	-0.06257	0.00826	1.003	0.00000545445	-0.06269
6.7	46.7	normal	14.8	8.40	-1.69939	0.00415	1.001	0.00200614657	-1.69923
7.2	57.7	underweight	1.7	6.99	0.20641	0.01237	1.003	0.00008968362	0.20725
7.9	56.6	normal	-1.0	7.17	0.73025	0.00731	1.002	0.00065627721	0.73135
6.9	61.3	normal	6.2	8.17	-1.26651	0.00338	1.002	0.00090511015	-1.26590
6.2	51.0	underweight	10.8	7.65	-1.45451	0.00949	1.002	0.00339562436	-1.45829
11.6	64.0	obese	6.7	9.41	2.18824	0.00588	1.000	0.00472401169	2.18993
7.3	46.7	underweight	7.2	7.06	0.23626	0.01040	1.003	0.00009838611	0.23698
8.3	51.7	normal	11.7	8.30	-0.00299	0.00274	1.003	0.00000000409	-0.00299
8.4	62.4	overweight	4.7	8.43	-0.02913	0.00536	1.003	0.00000076294	-0.02914
9.2	64.9	normal	9.6	8.70	0.49739	0.00350	1.003	0.00014451569	0.49718
8.6	35.6	obese	12.5	8.69	-0.08978	0.00965	1.003	0.00001316305	-0.09002
9.6	56.1	obese	18.2	10.27	-0.67386	0.00816	1.002	0.00062484113	-0.67516
9.4	61.1	obese	12.4	9.89	-0.48718	0.00561	1.003	0.00022361128	-0.48749
8.0	40.5	normal	18.6	8.51	-0.51419	0.00760	1.003	0.00033854684	-0.51503
8.4	59.8	normal	12.3	8.75	-0.35127	0.00302	1.003	0.00006226200	-0.35103
7.6	46.7	overweight	10.0	8.26	-0.65510	0.00413	1.002	0.00029692395	-0.65503
8.7	65.2	normal	-1.3	7.54	1.15505	0.00841	1.002	0.00189385542	1.15743
9.0	60.4	obese	3.9	8.94	0.05983	0.00642	1.003	0.00000386420	0.05990
7.7	62.7	normal	8.4	8.47	-0.76937	0.00315	1.002	0.00031176226	-0.76891
9.8	56.2	overweight	13.6	9.09	0.70776	0.00385	1.002	0.00032241943	0.70759
8.9	63.6	normal	8.4	8.51	0.38799	0.00330	1.003	0.00008303583	0.38779
9.1	68.8	normal	12.7	9.22	-0.12068	0.00490	1.003	0.00001195436	-0.12071
10.1	74.7	obese	4.7	9.70	0.39631	0.00921	1.003	0.00024443398	0.39729
7.2	54.7	normal	8.6	8.11	-0.91184	0.00255	1.002	0.00035302143	-0.91102
7.0	32.5	normal	11.1	7.33	-0.32882	0.00767	1.003	0.00013967754	-0.32937
7.6	55.3	overweight	8.2	8.47	-0.86903	0.00367	1.002	0.00046335615	-0.86874
7.7	57.1	overweight	10.6	8.81	-1.11234	0.00349	1.002	0.00072162942	-1.11187
8.0	53.4	overweight	6.6	8.21	-0.20699	0.00413	1.003	0.00002958259	-0.20697
9.4	60.7	overweight	11.9	9.12	0.27733	0.00388	1.003	0.00004994495	0.27727
7.8	65.1	normal	9.6	8.71	-0.91209	0.00354	1.002	0.00049170421	-0.91172
7.8	49.8	normal	9.8	8.01	-0.20870	0.00276	1.003	0.00002006561	-0.20854
5.3	52.1	normal	0.3	7.10	-1.79631	0.00637	1.001	0.00345424106	-1.79815
8.7	59.0	obese	6.6	9.16	-0.46412	0.00540	1.003	0.00019524781	-0.46437
8.4	49.5	normal	2.6	7.22	1.17960	0.00502	1.002	0.00117158502	1.18001
6.3	55.9	normal	2.0	7.46	-1.15912	0.00499	1.002	0.00112479044	-1.15950
5.8	35.4	normal	7.5	7.08	-1.27918	0.00672	1.002	0.00185060780	-1.28071
7.9	43.8	overweight	9.2	8.03	-0.13169	0.00479	1.003	0.00001392261	-0.13172
9.3	41.7	obese	11.4	8.86	0.43947	0.00729	1.003	0.00023708329	0.44012
9.6	46.5	normal	15.5	8.47	1.13483	0.00448	1.002	0.00096704902	1.13492
11.3	48.1	overweight	12.2	8.56	2.74205	0.00398	0.999	0.00501161124	2.74157
10.2	58.8	overweight	15.1	9.38	0.82331	0.00450	1.002	0.00051034081	0.82338
9.1	64.8	normal	7.4	8.46	0.63865	0.00366	1.002	0.00024946020	0.63843
9.3	47.7	underweight	8.5	7.25	2.04911	0.00997	1.001	0.00708971616	2.05494
7.5	45.0	underweight	15.4	7.86	-0.36480	0.01132	1.003	0.00025569595	-0.36608
7.5	44.6	normal	10.0	7.78	-0.28384	0.00359	1.003	0.00004828156	-0.28373
8.5	50.9	obese	1.6	8.24	0.25721	0.00800	1.003	0.00008925390	0.25768
6.3	52.6	normal	5.8	7.71	-1.41131	0.00322	1.002	0.00107177355	-1.41053
6.7	59.8	underweight	15.0	8.52	-1.82299	0.01066	1.001	0.00600417228	-1.82881
9.6	51.8	normal	6.9	7.79	1.80833	0.00295	1.001	0.00161198732	1.80707
6.3	34.2	underweight	11.7	6.96	-0.65532	0.01363	1.002	0.00099849727	-0.65840
7.8	54.1	normal	10.1	8.24	-0.44468	0.00250	1.003	0.00008242452	-0.44427
7.6	66.9	normal	7.5	8.57	-0.97159	0.00410	1.002	0.00064742778	-0.97148
8.8	66.9	normal	8.2	8.65	0.15315	0.00401	1.003	0.00001571790	0.15312
9.1	47.1	overweight	12.0	8.49	0.61093	0.00411	1.002	0.00025645945	0.61086
7.9	39.5	overweight	11.0	8.02	-0.12149	0.00583	1.003	0.00001445190	-0.12158
9.6	79.6	underweight	16.2	9.59	0.00990	0.01761	1.003	0.00000029690	0.00997
9.0	53.4	normal	9.0	8.09	0.90675	0.00254	1.002	0.00034829573	0.90593
8.7	54.0	obese	5.4	8.80	-0.09821	0.00578	1.003	0.00000935538	-0.09828
8.5	59.2	overweight	10.8	8.93	-0.43334	0.00364	1.003	0.00011419155	-0.43319
7.2	38.9	underweight	13.5	7.37	-0.17152	0.01221	1.003	0.00006110680	-0.17220
8.7	47.7	overweight	21.4	9.53	-0.82811	0.00867	1.002	0.00100450577	-0.82992
8.3	39.6	obese	7.7	8.36	-0.06324	0.00808	1.003	0.00000544956	-0.06336
6.8	48.1	normal	8.4	7.78	-0.97764	0.00307	1.002	0.00048985969	-0.97702
10.6	56.2	overweight	14.4	9.18	1.42176	0.00408	1.002	0.00137994048	1.42157
5.7	41.4	normal	16.4	8.32	-2.62030	0.00601	0.999	0.00692689893	-2.62251
8.1	60.9	underweight	6.7	7.68	0.41724	0.01021	1.003	0.00030092243	0.41847
9.2	57.9	obese	13.3	9.83	-0.63233	0.00564	1.002	0.00037861899	-0.63275
10.5	46.0	obese	7.2	8.61	1.88729	0.00637	1.001	0.00381481744	1.88923
8.6	57.3	obese	5.2	8.93	-0.33306	0.00577	1.003	0.00010742370	-0.33330
9.9	62.5	overweight	13.1	9.34	0.56304	0.00435	1.003	0.00023098007	0.56304
8.7	65.6	underweight	10.5	8.31	0.38602	0.01060	1.003	0.00026778371	0.38724
9.1	52.9	overweight	11.9	8.75	0.34688	0.00354	1.003	0.00007123378	0.34675
8.9	54.1	overweight	7.1	8.29	0.60609	0.00395	1.002	0.00024263462	0.60597
11.1	54.1	normal	19.0	9.20	1.89846	0.00603	1.001	0.00365308109	1.90009
10.2	69.4	normal	13.3	9.31	0.88639	0.00526	1.002	0.00069276094	0.88680
8.3	66.3	underweight	8.1	8.09	0.21088	0.01087	1.003	0.00008202068	0.21157
10.8	63.3	normal	13.5	9.05	1.75390	0.00385	1.001	0.00198097603	1.75347
8.1	52.1	normal	3.9	7.48	0.61665	0.00404	1.002	0.00025727114	0.61656
9.5	58.7	overweight	9.3	8.75	0.75162	0.00365	1.002	0.00034440699	0.75136
10.9	59.0	overweight	17.0	9.59	1.30957	0.00540	1.002	0.00155401460	1.31027
7.3	44.6	underweight	9.1	7.17	0.13148	0.01044	1.003	0.00003057986	0.13188
8.6	37.7	normal	14.6	7.95	0.64852	0.00633	1.002	0.00044737565	0.64917
8.7	61.4	overweight	8.9	8.83	-0.13330	0.00397	1.003	0.00001180499	-0.13327
6.0	39.7	underweight	-1.5	5.80	0.20326	0.01768	1.003	0.00012562387	0.20463
8.9	55.0	obese	5.6	8.87	0.03291	0.00566	1.003	0.00000102923	0.03293
7.3	57.5	underweight	11.1	7.99	-0.69473	0.00948	1.002	0.00077349540	-0.69653
12.3	60.6	obese	17.2	10.38	1.92045	0.00774	1.001	0.00480828108	1.92374
7.5	56.9	normal	7.0	8.04	-0.54406	0.00283	1.003	0.00013992294	-0.54365
7.7	47.7	normal	11.4	8.08	-0.38123	0.00311	1.003	0.00007555763	-0.38099
9.6	64.9	normal	5.2	8.23	1.37044	0.00426	1.002	0.00134063324	1.37039
9.1	72.4	overweight	4.9	8.92	0.17559	0.00772	1.003	0.00004011302	0.17589
10.5	63.8	obese	6.1	9.34	1.16222	0.00599	1.002	0.00135901642	1.16319
6.9	35.6	underweight	16.8	7.57	-0.66996	0.01459	1.002	0.00111929767	-0.67344
9.9	69.0	overweight	14.7	9.82	0.08306	0.00634	1.003	0.00000735313	0.08314
9.3	54.4	obese	13.0	9.63	-0.33425	0.00554	1.003	0.00010379896	-0.33446
8.6	60.2	overweight	15.6	9.50	-0.89677	0.00485	1.002	0.00065363177	-0.89701
8.5	61.2	overweight	7.9	8.72	-0.21631	0.00411	1.003	0.00003219674	-0.21629
8.9	54.0	obese	13.8	9.70	-0.80131	0.00581	1.002	0.00062608456	-0.80191
9.7	54.2	overweight	11.0	8.72	0.98205	0.00345	1.002	0.00055556184	0.98162
8.9	65.2	obese	4.8	9.26	-0.36434	0.00663	1.003	0.00014791070	-0.36476
8.1	62.1	normal	5.8	8.16	-0.06141	0.00360	1.003	0.00000226941	-0.06139
7.9	64.9	normal	10.3	8.78	-0.87787	0.00352	1.002	0.00045361707	-0.87751
9.8	78.8	normal	11.0	9.51	0.28831	0.00844	1.003	0.00011835612	0.28891
6.8	61.6	normal	8.4	8.42	-1.61725	0.00300	1.001	0.00130792430	-1.61616
4.4	57.1	underweight	5.0	7.32	-2.91995	0.01049	0.998	0.01516298600	-2.92903
9.0	32.9	obese	-0.5	7.16	1.83579	0.01533	1.001	0.00884292358	1.84601
10.6	81.9	normal	12.1	9.78	0.82318	0.01029	1.002	0.00118098127	0.82565
8.5	50.2	normal	8.5	7.89	0.61211	0.00280	1.002	0.00017511985	0.61164
7.5	78.7	normal	12.7	9.69	-2.18972	0.00877	1.000	0.00710532051	-2.19462
8.8	58.7	overweight	2.3	8.00	0.80420	0.00637	1.002	0.00069243728	0.80503
9.9	70.4	obese	3.7	9.39	0.50755	0.00824	1.003	0.00035795717	0.50855
8.1	53.9	normal	9.4	8.16	-0.05995	0.00251	1.003	0.00000150183	-0.05989
8.6	60.1	normal	2.9	7.75	0.84513	0.00464	1.002	0.00055550225	0.84526
9.0	57.1	overweight	0.1	7.68	1.31653	0.00801	1.002	0.00234019359	1.31897
8.4	53.1	normal	13.9	8.61	-0.20585	0.00322	1.003	0.00002278226	-0.20573
11.1	53.8	overweight	14.5	9.08	2.02471	0.00408	1.001	0.00280018632	2.02446
9.2	65.1	normal	4.9	8.21	0.99322	0.00442	1.002	0.00072918767	0.99326
8.7	53.0	underweight	8.6	7.51	1.18726	0.00948	1.002	0.00225992671	1.19034
7.3	34.6	obese	4.3	7.76	-0.46081	0.01123	1.003	0.00040473947	-0.46241
8.7	53.0	overweight	11.6	8.73	-0.02560	0.00351	1.003	0.00000038448	-0.02559
8.1	60.4	overweight	9.9	8.89	-0.79343	0.00377	1.002	0.00039642312	-0.79320
8.5	61.2	normal	5.7	8.11	0.39198	0.00352	1.003	0.00009031942	0.39182
8.9	61.2	overweight	6.1	8.52	0.37721	0.00462	1.003	0.00011016227	0.37727
7.0	38.1	normal	4.7	6.91	0.09394	0.00666	1.003	0.00000989051	0.09405
8.5	58.7	overweight	12.2	9.06	-0.56016	0.00372	1.003	0.00019495997	-0.55999
9.3	64.7	overweight	12.9	9.42	-0.11969	0.00472	1.003	0.00001131856	-0.11972
12.1	67.8	obese	11.9	10.15	1.94914	0.00664	1.001	0.00424543408	1.95141
6.8	52.8	normal	5.8	7.72	-0.92079	0.00321	1.002	0.00045464309	-0.92027
7.8	51.8	obese	1.1	8.23	-0.43168	0.00824	1.003	0.00025896429	-0.43253
8.4	69.9	overweight	12.7	9.64	-1.24456	0.00603	1.002	0.00156868408	-1.24562
6.1	38.3	normal	9.1	7.39	-1.28859	0.00538	1.002	0.00149770226	-1.28927
7.7	50.6	normal	9.8	8.05	-0.34660	0.00268	1.003	0.00005376992	-0.34632
9.1	59.6	overweight	15.2	9.43	-0.32534	0.00462	1.003	0.00008182525	-0.32539
6.9	38.8	overweight	5.5	7.40	-0.49701	0.00732	1.003	0.00030442431	-0.49775
8.7	57.8	overweight	15.7	9.39	-0.69382	0.00466	1.002	0.00037578672	-0.69393
9.8	73.8	obese	7.9	10.01	-0.20508	0.00816	1.003	0.00005789123	-0.20548
10.0	55.0	obese	6.4	8.95	1.04690	0.00543	1.002	0.00099790119	1.04747
7.7	52.2	normal	9.0	8.04	-0.33640	0.00260	1.003	0.00004898970	-0.33611
7.4	59.7	normal	12.0	8.71	-1.31427	0.00295	1.002	0.00085036355	-1.31336
6.9	52.2	normal	9.0	8.04	-1.13640	0.00260	1.002	0.00055905501	-1.13541
6.2	63.1	normal	5.5	8.18	-1.97653	0.00385	1.001	0.00251222944	-1.97605
7.9	64.0	obese	8.6	9.62	-1.71603	0.00562	1.001	0.00277548956	-1.71714
6.2	55.0	normal	-2.7	6.91	-0.71117	0.00897	1.002	0.00076623144	-0.71283
5.9	43.2	underweight	7.5	6.93	-1.03017	0.01104	1.002	0.00198764684	-1.03366
7.7	41.8	obese	12.3	8.96	-1.26203	0.00741	1.002	0.00198723871	-1.26398
10.4	49.1	overweight	9.2	8.28	2.11720	0.00387	1.000	0.00289868275	2.11671
11.7	63.0	obese	13.4	10.08	1.61529	0.00615	1.001	0.00269452651	1.61676
10.1	35.4	normal	12.4	7.61	2.49402	0.00658	1.000	0.00688597177	2.49684
9.4	36.1	obese	13.2	8.79	0.61127	0.00961	1.002	0.00060737679	0.61289
7.6	48.5	underweight	13.3	7.80	-0.20485	0.01009	1.003	0.00007172058	-0.20544
6.5	58.9	normal	1.3	7.53	-1.02599	0.00556	1.002	0.00098199635	-1.02663
7.2	45.9	overweight	10.0	8.22	-1.01720	0.00428	1.002	0.00074043278	-1.01717
9.5	63.9	overweight	18.2	9.95	-0.45160	0.00687	1.003	0.00023563990	-0.45218
10.0	58.3	overweight	7.6	8.55	1.45334	0.00391	1.002	0.00137949008	1.45303
10.1	53.3	obese	12.3	9.51	0.59312	0.00541	1.003	0.00031897754	0.59344
10.1	63.2	overweight	10.7	9.11	0.98790	0.00416	1.002	0.00067934788	0.98781
9.0	58.9	overweight	12.8	9.13	-0.13415	0.00384	1.003	0.00001154251	-0.13411
6.8	50.5	overweight	8.6	8.28	-1.48462	0.00381	1.002	0.00140344344	-1.48423
8.4	57.3	normal	6.8	8.04	0.35850	0.00289	1.003	0.00006208506	0.35824
9.4	61.5	obese	10.4	9.69	-0.29111	0.00532	1.003	0.00007555427	-0.29125
8.2	58.6	normal	11.0	8.55	-0.35465	0.00270	1.003	0.00005658385	-0.35435
10.5	48.4	overweight	9.1	8.24	2.26112	0.00397	1.000	0.00339442315	2.26071
9.6	63.6	normal	10.2	8.71	0.89447	0.00327	1.002	0.00043664314	0.89399
8.8	66.5	normal	12.1	9.05	-0.24720	0.00414	1.003	0.00004231160	-0.24717
7.1	57.8	obese	6.1	9.05	-1.95351	0.00549	1.001	0.00351543986	-1.95464
9.1	56.4	overweight	15.7	9.33	-0.22749	0.00458	1.003	0.00003968314	-0.22751
10.3	54.2	normal	21.0	9.42	0.87870	0.00774	1.002	0.00100709670	0.88021
9.9	76.6	underweight	17.4	9.58	0.32302	0.01685	1.003	0.00030189758	0.32507
8.9	57.8	overweight	7.7	8.53	0.36628	0.00385	1.003	0.00008641207	0.36619
7.8	53.4	underweight	0.9	6.70	1.09615	0.01296	1.002	0.00265321929	1.10093
6.4	29.9	underweight	10.3	6.60	-0.20107	0.01558	1.003	0.00010788682	-0.20222
7.6	39.3	normal	14.4	8.01	-0.40578	0.00573	1.003	0.00015851410	-0.40607
9.3	54.2	obese	13.9	9.72	-0.42154	0.00584	1.003	0.00017412402	-0.42186
9.5	57.1	obese	3.9	8.78	0.71618	0.00630	1.002	0.00054313210	0.71689
7.1	57.8	underweight	4.4	7.29	-0.18861	0.01080	1.003	0.00006512615	-0.18923
9.5	63.2	normal	10.7	8.74	0.75967	0.00324	1.002	0.00031187942	0.75925
7.2	53.1	normal	13.1	8.52	-1.31984	0.00297	1.002	0.00086460665	-1.31894
7.5	67.1	underweight	14.4	8.80	-1.30435	0.01182	1.002	0.00341669820	-1.30928
8.3	45.8	normal	14.1	8.28	0.01851	0.00404	1.003	0.00000023175	0.01851
8.9	42.9	obese	5.2	8.25	0.64919	0.00775	1.002	0.00055083606	0.65031
7.1	42.7	overweight	3.4	7.36	-0.25601	0.00728	1.003	0.00008033059	-0.25639
7.0	62.4	normal	-0.1	7.54	-0.54130	0.00695	1.003	0.00034251203	-0.54201
6.6	54.2	obese	12.5	9.57	-2.97102	0.00541	0.998	0.00801125604	-2.97263
10.4	62.9	obese	14.1	10.16	0.24477	0.00639	1.003	0.00006436398	0.24502
7.4	52.3	normal	11.7	8.33	-0.93142	0.00271	1.002	0.00039154555	-0.93066
7.8	49.1	normal	4.7	7.43	0.37277	0.00398	1.003	0.00009244477	0.37271
11.3	51.3	obese	17.8	10.00	1.29656	0.00805	1.002	0.00228094868	1.29899
6.6	36.5	normal	8.1	7.20	-0.59580	0.00617	1.002	0.00036776818	-0.59635
9.8	43.3	overweight	18.9	9.05	0.74913	0.00747	1.002	0.00070652903	0.75032
7.7	40.6	normal	12.8	7.90	-0.19536	0.00489	1.003	0.00003126348	-0.19541
10.2	65.5	overweight	16.0	9.79	0.40912	0.00597	1.003	0.00016773940	0.40945
7.5	49.0	overweight	11.7	8.55	-1.04684	0.00382	1.002	0.00070028208	-1.04657
9.5	62.9	overweight	9.7	8.99	0.50963	0.00412	1.003	0.00017911359	0.50957
10.8	70.2	obese	4.9	9.51	1.28801	0.00770	1.002	0.00215261084	1.29020
10.2	53.1	overweight	7.2	8.26	1.94271	0.00395	1.001	0.00249530684	1.94234
7.2	57.8	normal	9.8	8.39	-1.18773	0.00257	1.002	0.00060473743	-1.18668
9.0	37.5	obese	11.4	8.66	0.33846	0.00871	1.003	0.00016857670	0.33921
7.8	46.8	overweight	9.8	8.24	-0.43833	0.00413	1.003	0.00013287458	-0.43829
9.7	55.6	obese	9.1	9.27	0.42819	0.00501	1.003	0.00015406231	0.42833
9.3	58.0	obese	10.9	9.58	-0.27904	0.00512	1.003	0.00006677746	-0.27915
7.9	47.4	overweight	7.4	8.01	-0.10873	0.00447	1.003	0.00000885136	-0.10874
10.5	81.8	overweight	7.3	9.63	0.87220	0.01114	1.002	0.00143858728	0.87520
9.0	50.4	obese	2.7	8.34	0.66263	0.00738	1.002	0.00054571821	0.66365
10.0	55.6	obese	14.2	9.82	0.17988	0.00592	1.003	0.00003217654	0.18002
9.6	61.5	overweight	10.2	8.98	0.62220	0.00389	1.002	0.00025214214	0.62206
9.6	54.7	obese	9.6	9.28	0.31707	0.00503	1.003	0.00008473790	0.31718
8.8	48.6	obese	6.3	8.64	0.16087	0.00610	1.003	0.00002650909	0.16101
8.7	65.5	normal	8.8	8.65	0.05497	0.00364	1.003	0.00000183849	0.05495
9.4	71.2	normal	4.6	8.46	0.93646	0.00611	1.002	0.00090018221	0.93730
8.4	54.7	normal	4.8	7.70	0.69670	0.00352	1.002	0.00028547934	0.69642
7.9	60.6	underweight	0.4	6.99	0.90878	0.01356	1.002	0.00190976545	0.91302
9.8	54.0	normal	14.9	8.76	1.04400	0.00359	1.002	0.00065323822	1.04361
9.9	65.2	overweight	10.6	9.20	0.70390	0.00454	1.002	0.00037686333	0.70397
7.0	43.4	normal	4.4	7.12	-0.12492	0.00520	1.003	0.00001360252	-0.12497
9.9	78.2	obese	15.8	11.06	-1.16289	0.01186	1.002	0.00272500295	-1.16731
8.3	49.0	overweight	13.1	8.70	-0.39735	0.00402	1.003	0.00010609975	-0.39729
7.5	40.4	overweight	13.7	8.35	-0.85441	0.00587	1.002	0.00071982902	-0.85507
7.2	51.5	underweight	8.9	7.47	-0.27393	0.00952	1.003	0.00012081933	-0.27465
7.6	56.5	normal	7.9	8.12	-0.52186	0.00265	1.003	0.00012040896	-0.52142
9.8	71.2	obese	9.5	10.05	-0.25392	0.00726	1.003	0.00007878143	-0.25429
8.9	64.1	obese	12.0	9.99	-1.08631	0.00592	1.002	0.00117311119	-1.08718
8.1	56.4	normal	14.0	8.77	-0.67295	0.00327	1.002	0.00024738291	-0.67259
8.7	41.1	normal	17.9	8.47	0.23264	0.00696	1.003	0.00006342494	0.23295
7.8	46.3	normal	7.5	7.60	0.20440	0.00352	1.003	0.00002454480	0.20432
7.8	53.4	overweight	4.9	8.02	-0.22422	0.00482	1.003	0.00004056187	-0.22428
11.6	80.5	obese	10.5	10.60	0.99795	0.01107	1.002	0.00187028491	1.00134
7.7	36.4	overweight	25.1	9.39	-1.69053	0.01511	1.001	0.00738970700	-1.69976
8.6	66.3	underweight	7.9	8.07	0.53238	0.01091	1.003	0.00052427427	0.53415
10.1	49.7	normal	15.7	8.64	1.46172	0.00417	1.002	0.00149114312	1.46160
8.6	71.7	normal	8.8	8.94	-0.33878	0.00536	1.003	0.00010314902	-0.33895
8.3	43.6	overweight	7.6	7.85	0.44980	0.00517	1.003	0.00017530321	0.44999
7.4	56.4	normal	6.4	7.96	-0.55586	0.00297	1.003	0.00015318378	-0.55548
7.6	44.0	normal	8.9	7.64	-0.03715	0.00377	1.003	0.00000087039	-0.03714
10.3	64.0	normal	18.2	9.58	0.71543	0.00646	1.002	0.00055607825	0.71619
9.2	69.8	obese	11.5	10.20	-1.00261	0.00708	1.002	0.00119789160	-1.00400
9.9	74.5	obese	12.4	10.52	-0.62205	0.00884	1.002	0.00057800114	-0.62346
9.6	63.0	normal	14.2	9.11	0.49285	0.00405	1.003	0.00016454859	0.49278
10.6	73.4	normal	20.4	10.27	0.33354	0.01113	1.003	0.00021007831	0.33469
10.1	67.5	normal	13.9	9.29	0.81190	0.00493	1.002	0.00054425650	0.81214
8.2	53.7	underweight	2.9	6.93	1.26691	0.01157	1.002	0.00315390550	1.27154
9.2	59.8	overweight	4.8	8.32	0.88331	0.00501	1.002	0.00065573773	0.88361
6.4	45.3	overweight	2.1	7.34	-0.93942	0.00754	1.002	0.00112054285	-0.94094
6.4	53.1	underweight	-4.2	6.14	0.25867	0.01802	1.003	0.00020750618	0.26047
9.6	67.2	overweight	16.5	9.93	-0.32518	0.00664	1.003	0.00011809258	-0.32556
8.3	60.4	normal	7.5	8.26	0.03636	0.00298	1.003	0.00000065698	0.03634
9.1	59.6	underweight	12.0	8.19	0.90902	0.00976	1.002	0.00136547328	0.91151
9.6	44.6	obese	15.9	9.48	0.11827	0.00796	1.003	0.00001877125	0.11849
7.8	49.0	normal	7.4	7.71	0.08723	0.00312	1.003	0.00000396096	0.08718
8.2	47.4	overweight	9.3	8.21	-0.01300	0.00409	1.003	0.00000011567	-0.01300
10.0	59.0	obese	11.8	9.72	0.27682	0.00531	1.003	0.00006820954	0.27696
6.7	45.1	normal	11.1	7.93	-1.22579	0.00353	1.002	0.00088637031	-1.22529
7.2	60.6	underweight	6.1	7.60	-0.40404	0.01035	1.003	0.00028627081	-0.40527
9.7	43.8	normal	13.7	8.14	1.55627	0.00431	1.001	0.00174814688	1.55626
10.1	73.3	normal	12.7	9.43	0.66612	0.00641	1.002	0.00047817577	0.66682
7.4	59.6	normal	8.6	8.34	-0.94400	0.00275	1.002	0.00040917628	-0.94325
6.1	48.0	normal	3.9	7.29	-1.18910	0.00451	1.002	0.00106820209	-1.18921
8.7	57.4	obese	13.2	9.80	-1.09789	0.00559	1.002	0.00113133941	-1.09859
9.9	51.5	overweight	17.1	9.25	0.65415	0.00528	1.002	0.00037888679	0.65446
10.1	58.7	overweight	16.9	9.57	0.53453	0.00532	1.003	0.00025487435	0.53479
8.2	57.4	normal	14.4	8.86	-0.66333	0.00347	1.002	0.00025511385	-0.66304
6.6	44.9	underweight	7.6	7.02	-0.42147	0.01064	1.003	0.00032034296	-0.42281
9.1	47.1	overweight	7.3	7.98	1.11623	0.00455	1.002	0.00094909145	1.11635
8.8	58.0	obese	7.1	9.17	-0.37050	0.00526	1.003	0.00012103018	-0.37067
8.8	71.4	normal	7.9	8.83	-0.02780	0.00533	1.003	0.00000069097	-0.02782
10.5	65.8	obese	13.5	10.23	0.27188	0.00667	1.003	0.00008289434	0.27220
8.4	48.8	overweight	11.3	8.49	-0.09436	0.00382	1.003	0.00000568656	-0.09433
6.5	63.3	underweight	0.7	7.15	-0.65140	0.01367	1.002	0.00098961997	-0.65447
6.9	54.5	normal	0.7	7.25	-0.35302	0.00593	1.003	0.00012402690	-0.35331
7.3	58.0	normal	9.9	8.41	-1.10796	0.00258	1.002	0.00052899514	-1.10698
9.9	57.6	obese	10.7	9.54	0.36141	0.00508	1.003	0.00011123751	0.36155
10.2	80.8	overweight	-1.5	8.63	1.56569	0.01572	1.001	0.00660117032	1.57472
8.0	43.1	overweight	5.9	7.64	0.35626	0.00587	1.003	0.00012520000	0.35654
10.1	56.0	obese	10.1	9.40	0.70173	0.00502	1.002	0.00041403707	0.70197
7.4	37.2	normal	17.3	8.22	-0.81807	0.00779	1.002	0.00087855577	-0.81950
6.9	60.9	underweight	-0.1	6.95	-0.05168	0.01400	1.003	0.00000638319	-0.05193
8.5	66.0	overweight	3.7	8.49	0.00782	0.00651	1.003	0.00000006703	0.00783
8.0	69.5	obese	4.6	9.45	-1.44657	0.00762	1.002	0.00268782281	-1.44896
8.5	35.7	obese	10.9	8.52	-0.02250	0.00939	1.003	0.00000080403	-0.02256
9.6	59.1	overweight	11.7	9.03	0.57464	0.00369	1.003	0.00020363679	0.57445
10.6	70.9	obese	8.4	9.92	0.67856	0.00718	1.002	0.00055659117	0.67953
8.6	50.9	normal	1.9	7.21	1.38853	0.00531	1.002	0.00171671435	1.38921
6.9	52.9	overweight	6.8	8.20	-1.30481	0.00408	1.002	0.00116288702	-1.30464
9.6	54.6	obese	7.2	9.02	0.57984	0.00526	1.003	0.00029658519	0.58011
9.0	58.7	normal	9.0	8.34	0.65564	0.00265	1.002	0.00018991054	0.65509
9.7	61.7	overweight	18.1	9.84	-0.13662	0.00640	1.003	0.00002009419	-0.13676
9.2	68.2	normal	6.6	8.54	0.66357	0.00460	1.002	0.00033957786	0.66366
7.8	54.0	obese	10.4	9.34	-1.53577	0.00509	1.001	0.00201123030	-1.53635
7.7	57.0	underweight	6.5	7.48	0.22352	0.00995	1.003	0.00008411622	0.22415
6.2	79.9	overweight	3.8	9.16	-2.96149	0.01141	0.998	0.01699275719	-2.97207
9.6	59.3	overweight	13.2	9.20	0.40390	0.00396	1.003	0.00010799799	0.40382
9.9	56.9	overweight	4.7	8.17	1.73146	0.00489	1.001	0.00245652917	1.73194
10.5	41.6	normal	23.7	9.11	1.38539	0.01200	1.002	0.00391452045	1.39075
6.1	55.0	overweight	10.5	8.70	-2.60209	0.00344	0.999	0.00388840417	-2.60092
8.7	52.8	normal	10.3	8.20	0.49541	0.00255	1.003	0.00010418285	0.49496
8.9	54.9	obese	9.7	9.30	-0.40315	0.00502	1.003	0.00013684594	-0.40329
8.9	49.2	normal	19.2	8.99	-0.09089	0.00642	1.003	0.00000891238	-0.09098
6.5	48.1	overweight	13.3	8.68	-2.17622	0.00417	1.000	0.00330329475	-2.17604
8.1	47.8	normal	8.7	7.80	0.30432	0.00308	1.003	0.00004760150	0.30413
7.0	52.9	normal	4.2	7.55	-0.55351	0.00385	1.003	0.00019718957	-0.55337
9.3	68.7	overweight	4.8	8.74	0.56164	0.00662	1.003	0.00035108927	0.56229
8.2	65.5	normal	6.1	8.35	-0.15475	0.00410	1.003	0.00001641541	-0.15473
8.7	51.4	obese	16.1	9.83	-1.12541	0.00700	1.002	0.00149174088	-1.12691
7.6	38.1	normal	9.1	7.38	0.22088	0.00545	1.003	0.00004457788	0.22101
8.0	46.6	normal	6.2	7.47	0.52995	0.00380	1.003	0.00017855373	0.52981
8.5	50.4	normal	14.0	8.49	0.01132	0.00341	1.003	0.00000007294	0.01132
9.0	56.0	underweight	16.7	8.53	0.47427	0.01117	1.003	0.00042637336	0.47591
7.6	48.4	overweight	6.5	7.96	-0.35935	0.00461	1.003	0.00009964233	-0.35940
10.8	75.1	overweight	7.8	9.36	1.43588	0.00784	1.002	0.00272663803	1.43842
7.9	52.3	normal	11.7	8.33	-0.43142	0.00271	1.003	0.00008400244	-0.43107
7.6	42.9	overweight	10.0	8.08	-0.47506	0.00492	1.003	0.00018606845	-0.47520
9.4	53.6	normal	12.0	8.43	0.97473	0.00271	1.002	0.00042931564	0.97394
10.2	44.9	overweight	18.6	9.09	1.10558	0.00695	1.002	0.00143042804	1.10704
10.0	56.6	obese	9.7	9.38	0.61630	0.00500	1.002	0.00031848886	0.61651
8.4	57.3	normal	8.6	8.24	0.16497	0.00259	1.003	0.00001177546	0.16483
10.3	58.6	normal	12.4	8.71	1.59484	0.00293	1.001	0.00124565701	1.59372
7.4	38.8	obese	9.8	8.55	-1.15111	0.00815	1.002	0.00182169157	-1.15333
9.8	57.2	normal	13.1	8.71	1.08591	0.00302	1.002	0.00059441405	1.08519
11.0	58.1	obese	8.9	9.37	1.63125	0.00504	1.001	0.00224965979	1.63183
8.3	40.8	overweight	12.2	8.21	0.08791	0.00551	1.003	0.00000714214	0.08796
8.5	64.6	normal	2.2	7.89	0.60719	0.00566	1.002	0.00035025761	0.60759
8.8	62.8	underweight	10.1	8.14	0.66168	0.01004	1.002	0.00074398724	0.66358
10.3	78.0	normal	7.4	9.09	1.21326	0.00803	1.002	0.00199399914	1.21552
7.9	56.6	obese	4.0	8.77	-0.87088	0.00626	1.002	0.00079731125	-0.87172
9.5	55.5	overweight	7.9	8.45	1.05375	0.00373	1.002	0.00069321485	1.05343
7.3	56.0	overweight	11.9	8.90	-1.59999	0.00353	1.001	0.00150950576	-1.59934
10.4	55.7	normal	10.5	8.36	2.03651	0.00252	1.001	0.00174090522	2.03465
8.1	36.5	obese	13.5	8.84	-0.73994	0.00953	1.002	0.00088262633	-0.74188
7.6	38.3	normal	14.7	7.99	-0.39066	0.00616	1.003	0.00015805198	-0.39102
8.9	54.2	normal	14.1	8.68	0.22053	0.00327	1.003	0.00002656423	0.22041
6.5	49.2	normal	8.4	7.83	-1.32976	0.00292	1.002	0.00086297738	-1.32882
8.4	55.5	obese	3.4	8.65	-0.25426	0.00657	1.003	0.00007139059	-0.25454
7.1	33.9	normal	8.6	7.13	-0.02637	0.00715	1.003	0.00000083668	-0.02641
7.7	40.0	normal	15.8	8.19	-0.48946	0.00610	1.003	0.00024542870	-0.48990
9.7	44.0	normal	9.4	7.69	2.00910	0.00373	1.001	0.00252026849	2.00849
6.6	64.9	overweight	1.8	8.24	-1.63579	0.00749	1.001	0.00337419007	-1.63838
8.3	44.0	overweight	12.5	8.40	-0.09596	0.00474	1.003	0.00000731662	-0.09598
8.7	47.0	underweight	11.4	7.53	1.17049	0.00998	1.002	0.00231453812	1.17382
7.3	55.8	normal	8.0	8.10	-0.79945	0.00262	1.002	0.00027946642	-0.79876
9.0	51.8	obese	10.9	9.29	-0.28529	0.00528	1.003	0.00007208831	-0.28543
11.0	56.5	normal	16.8	9.08	1.92128	0.00460	1.001	0.00284398028	1.92154
9.2	78.1	obese	16.5	11.13	-1.93341	0.01223	1.001	0.00777786343	-1.94113
6.7	43.8	normal	7.7	7.50	-0.79866	0.00400	1.002	0.00042626855	-0.79852
6.9	51.9	normal	10.1	8.14	-1.24045	0.00259	1.002	0.00066383269	-1.23936
7.9	49.8	normal	2.7	7.25	0.65463	0.00493	1.002	0.00035371629	0.65483
7.8	70.1	normal	6.4	8.60	-0.80494	0.00519	1.002	0.00056395354	-0.80529
8.8	47.3	underweight	20.0	8.47	0.33168	0.01376	1.003	0.00025832444	0.33326
7.8	54.2	underweight	17.5	8.53	-0.72645	0.01159	1.002	0.00103854149	-0.72911
8.4	62.9	normal	8.9	8.53	-0.13260	0.00315	1.003	0.00000924246	-0.13252
8.2	44.4	normal	6.5	7.40	0.80193	0.00415	1.002	0.00044700816	0.80186
9.0	71.6	overweight	3.2	8.70	0.29626	0.00831	1.003	0.00012304597	0.29685
8.2	61.8	overweight	20.6	10.11	-1.91014	0.00829	1.001	0.00510440049	-1.91394
7.2	44.3	normal	10.6	7.83	-0.63413	0.00366	1.002	0.00024619471	-0.63392
9.9	59.5	obese	7.0	9.23	0.66919	0.00534	1.002	0.00040129992	0.66953
10.5	52.9	normal	15.4	8.76	1.74236	0.00383	1.001	0.00194411036	1.74192
7.7	58.1	obese	4.5	8.90	-1.19570	0.00605	1.002	0.00145319460	-1.19674
8.3	54.1	normal	13.6	8.62	-0.32097	0.00310	1.003	0.00005335053	-0.32078
10.4	65.7	obese	17.2	10.62	-0.22118	0.00853	1.003	0.00007047315	-0.22165
6.7	41.5	normal	8.9	7.52	-0.81870	0.00440	1.002	0.00049410033	-0.81873
7.8	49.8	overweight	17.3	9.19	-1.38681	0.00551	1.002	0.00177737471	-1.38763
10.8	52.5	overweight	13.2	8.87	1.92607	0.00377	1.001	0.00233622531	1.92552

9. Prediction

Generate new data

new_diabetes.data = expand.grid(
  age = seq(30, 80, by=5),
  bmi = factor(c("underweight", "normal", "overweight", "obese"), levels=c("underweight", "normal", "overweight", "obese")),
  duration_diabetes = rnorm(n = 44, mean = mean(diabetes_data$duration_diabetes), sd = 5)
)

Predict HbA1c levels for new data

pred.hbA1c <- augment(mod_full, newdata = new_diabetes.data)
pred.hbA1c %>% flextable()

age	bmi	duration_diabetes	.fitted
30	underweight	12.543	6.85
35	underweight	12.543	7.08
40	underweight	12.543	7.32
45	underweight	12.543	7.56
50	underweight	12.543	7.79
55	underweight	12.543	8.03
60	underweight	12.543	8.27
65	underweight	12.543	8.51
70	underweight	12.543	8.74
75	underweight	12.543	8.98
80	underweight	12.543	9.22
30	normal	12.543	7.37
35	normal	12.543	7.60
40	normal	12.543	7.84
45	normal	12.543	8.08
50	normal	12.543	8.31
55	normal	12.543	8.55
60	normal	12.543	8.79
65	normal	12.543	9.02
70	normal	12.543	9.26
75	normal	12.543	9.50
80	normal	12.543	9.73
30	overweight	12.543	7.74
35	overweight	12.543	7.97
40	overweight	12.543	8.21
45	overweight	12.543	8.45
50	overweight	12.543	8.68
55	overweight	12.543	8.92
60	overweight	12.543	9.16
65	overweight	12.543	9.40
70	overweight	12.543	9.63
75	overweight	12.543	9.87
80	overweight	12.543	10.11
30	obese	12.543	8.43
35	obese	12.543	8.67
40	obese	12.543	8.90
45	obese	12.543	9.14
50	obese	12.543	9.38
55	obese	12.543	9.61
60	obese	12.543	9.85
65	obese	12.543	10.09
70	obese	12.543	10.32
75	obese	12.543	10.56
80	obese	12.543	10.80
30	underweight	13.080	6.90
35	underweight	13.080	7.14
40	underweight	13.080	7.38
45	underweight	13.080	7.62
50	underweight	13.080	7.85
55	underweight	13.080	8.09
60	underweight	13.080	8.33
65	underweight	13.080	8.56
70	underweight	13.080	8.80
75	underweight	13.080	9.04
80	underweight	13.080	9.27
30	normal	13.080	7.42
35	normal	13.080	7.66
40	normal	13.080	7.90
45	normal	13.080	8.13
50	normal	13.080	8.37
55	normal	13.080	8.61
60	normal	13.080	8.84
65	normal	13.080	9.08
70	normal	13.080	9.32
75	normal	13.080	9.56
80	normal	13.080	9.79
30	overweight	13.080	7.79
35	overweight	13.080	8.03
40	overweight	13.080	8.27
45	overweight	13.080	8.51
50	overweight	13.080	8.74
55	overweight	13.080	8.98
60	overweight	13.080	9.22
65	overweight	13.080	9.45
70	overweight	13.080	9.69
75	overweight	13.080	9.93
80	overweight	13.080	10.16
30	obese	13.080	8.49
35	obese	13.080	8.72
40	obese	13.080	8.96
45	obese	13.080	9.20
50	obese	13.080	9.43
55	obese	13.080	9.67
60	obese	13.080	9.91
65	obese	13.080	10.15
70	obese	13.080	10.38
75	obese	13.080	10.62
80	obese	13.080	10.86
30	underweight	22.689	7.94
35	underweight	22.689	8.17
40	underweight	22.689	8.41
45	underweight	22.689	8.65
50	underweight	22.689	8.89
55	underweight	22.689	9.12
60	underweight	22.689	9.36
65	underweight	22.689	9.60
70	underweight	22.689	9.83
75	underweight	22.689	10.07
80	underweight	22.689	10.31
30	normal	22.689	8.46
35	normal	22.689	8.69
40	normal	22.689	8.93
45	normal	22.689	9.17
50	normal	22.689	9.40
55	normal	22.689	9.64
60	normal	22.689	9.88
65	normal	22.689	10.11
70	normal	22.689	10.35
75	normal	22.689	10.59
80	normal	22.689	10.83
30	overweight	22.689	8.83
35	overweight	22.689	9.06
40	overweight	22.689	9.30
45	overweight	22.689	9.54
50	overweight	22.689	9.78
55	overweight	22.689	10.01
60	overweight	22.689	10.25
65	overweight	22.689	10.49
70	overweight	22.689	10.72
75	overweight	22.689	10.96
80	overweight	22.689	11.20
30	obese	22.689	9.52
35	obese	22.689	9.76
40	obese	22.689	9.99
45	obese	22.689	10.23
50	obese	22.689	10.47
55	obese	22.689	10.70
60	obese	22.689	10.94
65	obese	22.689	11.18
70	obese	22.689	11.42
75	obese	22.689	11.65
80	obese	22.689	11.89
30	underweight	18.584	7.50
35	underweight	18.584	7.73
40	underweight	18.584	7.97
45	underweight	18.584	8.21
50	underweight	18.584	8.44
55	underweight	18.584	8.68
60	underweight	18.584	8.92
65	underweight	18.584	9.15
70	underweight	18.584	9.39
75	underweight	18.584	9.63
80	underweight	18.584	9.87
30	normal	18.584	8.02
35	normal	18.584	8.25
40	normal	18.584	8.49
45	normal	18.584	8.73
50	normal	18.584	8.96
55	normal	18.584	9.20
60	normal	18.584	9.44
65	normal	18.584	9.67
70	normal	18.584	9.91
75	normal	18.584	10.15
80	normal	18.584	10.38
30	overweight	18.584	8.39
35	overweight	18.584	8.62
40	overweight	18.584	8.86
45	overweight	18.584	9.10
50	overweight	18.584	9.33
55	overweight	18.584	9.57
60	overweight	18.584	9.81
65	overweight	18.584	10.05
70	overweight	18.584	10.28
75	overweight	18.584	10.52
80	overweight	18.584	10.76
30	obese	18.584	9.08
35	obese	18.584	9.32
40	obese	18.584	9.55
45	obese	18.584	9.79
50	obese	18.584	10.03
55	obese	18.584	10.26
60	obese	18.584	10.50
65	obese	18.584	10.74
70	obese	18.584	10.97
75	obese	18.584	11.21
80	obese	18.584	11.45
30	underweight	7.662	6.32
35	underweight	7.662	6.56
40	underweight	7.662	6.80
45	underweight	7.662	7.03
50	underweight	7.662	7.27
55	underweight	7.662	7.51
60	underweight	7.662	7.74
65	underweight	7.662	7.98
70	underweight	7.662	8.22
75	underweight	7.662	8.45
80	underweight	7.662	8.69
30	normal	7.662	6.84
35	normal	7.662	7.08
40	normal	7.662	7.31
45	normal	7.662	7.55
50	normal	7.662	7.79
55	normal	7.662	8.03
60	normal	7.662	8.26
65	normal	7.662	8.50
70	normal	7.662	8.74
75	normal	7.662	8.97
80	normal	7.662	9.21
30	overweight	7.662	7.21
35	overweight	7.662	7.45
40	overweight	7.662	7.69
45	overweight	7.662	7.92
50	overweight	7.662	8.16
55	overweight	7.662	8.40
60	overweight	7.662	8.63
65	overweight	7.662	8.87
70	overweight	7.662	9.11
75	overweight	7.662	9.34
80	overweight	7.662	9.58
30	obese	7.662	7.90
35	obese	7.662	8.14
40	obese	7.662	8.38
45	obese	7.662	8.62
50	obese	7.662	8.85
55	obese	7.662	9.09
60	obese	7.662	9.33
65	obese	7.662	9.56
70	obese	7.662	9.80
75	obese	7.662	10.04
80	obese	7.662	10.27
30	underweight	4.953	6.03
35	underweight	4.953	6.27
40	underweight	4.953	6.50
45	underweight	4.953	6.74
50	underweight	4.953	6.98
55	underweight	4.953	7.22
60	underweight	4.953	7.45
65	underweight	4.953	7.69
70	underweight	4.953	7.93
75	underweight	4.953	8.16
80	underweight	4.953	8.40
30	normal	4.953	6.55
35	normal	4.953	6.79
40	normal	4.953	7.02
45	normal	4.953	7.26
50	normal	4.953	7.50
55	normal	4.953	7.73
60	normal	4.953	7.97
65	normal	4.953	8.21
70	normal	4.953	8.44
75	normal	4.953	8.68
80	normal	4.953	8.92
30	overweight	4.953	6.92
35	overweight	4.953	7.16
40	overweight	4.953	7.40
45	overweight	4.953	7.63
50	overweight	4.953	7.87
55	overweight	4.953	8.11
60	overweight	4.953	8.34
65	overweight	4.953	8.58
70	overweight	4.953	8.82
75	overweight	4.953	9.05
80	overweight	4.953	9.29
30	obese	4.953	7.61
35	obese	4.953	7.85
40	obese	4.953	8.09
45	obese	4.953	8.32
50	obese	4.953	8.56
55	obese	4.953	8.80
60	obese	4.953	9.03
65	obese	4.953	9.27
70	obese	4.953	9.51
75	obese	4.953	9.75
80	obese	4.953	9.98
30	underweight	13.092	6.91
35	underweight	13.092	7.14
40	underweight	13.092	7.38
45	underweight	13.092	7.62
50	underweight	13.092	7.85
55	underweight	13.092	8.09
60	underweight	13.092	8.33
65	underweight	13.092	8.56
70	underweight	13.092	8.80
75	underweight	13.092	9.04
80	underweight	13.092	9.27
30	normal	13.092	7.42
35	normal	13.092	7.66
40	normal	13.092	7.90
45	normal	13.092	8.14
50	normal	13.092	8.37
55	normal	13.092	8.61
60	normal	13.092	8.85
65	normal	13.092	9.08
70	normal	13.092	9.32
75	normal	13.092	9.56
80	normal	13.092	9.79
30	overweight	13.092	7.80
35	overweight	13.092	8.03
40	overweight	13.092	8.27
45	overweight	13.092	8.51
50	overweight	13.092	8.74
55	overweight	13.092	8.98
60	overweight	13.092	9.22
65	overweight	13.092	9.45
70	overweight	13.092	9.69
75	overweight	13.092	9.93
80	overweight	13.092	10.17
30	obese	13.092	8.49
35	obese	13.092	8.72
40	obese	13.092	8.96
45	obese	13.092	9.20
50	obese	13.092	9.44
55	obese	13.092	9.67
60	obese	13.092	9.91
65	obese	13.092	10.15
70	obese	13.092	10.38
75	obese	13.092	10.62
80	obese	13.092	10.86
30	underweight	19.953	7.64
35	underweight	19.953	7.88
40	underweight	19.953	8.12
45	underweight	19.953	8.35
50	underweight	19.953	8.59
55	underweight	19.953	8.83
60	underweight	19.953	9.06
65	underweight	19.953	9.30
70	underweight	19.953	9.54
75	underweight	19.953	9.78
80	underweight	19.953	10.01
30	normal	19.953	8.16
35	normal	19.953	8.40
40	normal	19.953	8.64
45	normal	19.953	8.87
50	normal	19.953	9.11
55	normal	19.953	9.35
60	normal	19.953	9.58
65	normal	19.953	9.82
70	normal	19.953	10.06
75	normal	19.953	10.29
80	normal	19.953	10.53
30	overweight	19.953	8.53
35	overweight	19.953	8.77
40	overweight	19.953	9.01
45	overweight	19.953	9.24
50	overweight	19.953	9.48
55	overweight	19.953	9.72
60	overweight	19.953	9.96
65	overweight	19.953	10.19
70	overweight	19.953	10.43
75	overweight	19.953	10.67
80	overweight	19.953	10.90
30	obese	19.953	9.23
35	obese	19.953	9.46
40	obese	19.953	9.70
45	obese	19.953	9.94
50	obese	19.953	10.17
55	obese	19.953	10.41
60	obese	19.953	10.65
65	obese	19.953	10.88
70	obese	19.953	11.12
75	obese	19.953	11.36
80	obese	19.953	11.59
30	underweight	4.071	5.94
35	underweight	4.071	6.17
40	underweight	4.071	6.41
45	underweight	4.071	6.65
50	underweight	4.071	6.88
55	underweight	4.071	7.12
60	underweight	4.071	7.36
65	underweight	4.071	7.59
70	underweight	4.071	7.83
75	underweight	4.071	8.07
80	underweight	4.071	8.31
30	normal	4.071	6.45
35	normal	4.071	6.69
40	normal	4.071	6.93
45	normal	4.071	7.17
50	normal	4.071	7.40
55	normal	4.071	7.64
60	normal	4.071	7.88
65	normal	4.071	8.11
70	normal	4.071	8.35
75	normal	4.071	8.59
80	normal	4.071	8.82
30	overweight	4.071	6.83
35	overweight	4.071	7.06
40	overweight	4.071	7.30
45	overweight	4.071	7.54
50	overweight	4.071	7.77
55	overweight	4.071	8.01
60	overweight	4.071	8.25
65	overweight	4.071	8.48
70	overweight	4.071	8.72
75	overweight	4.071	8.96
80	overweight	4.071	9.20
30	obese	4.071	7.52
35	obese	4.071	7.76
40	obese	4.071	7.99
45	obese	4.071	8.23
50	obese	4.071	8.47
55	obese	4.071	8.70
60	obese	4.071	8.94
65	obese	4.071	9.18
70	obese	4.071	9.41
75	obese	4.071	9.65
80	obese	4.071	9.89
30	underweight	6.084	6.15
35	underweight	6.084	6.39
40	underweight	6.084	6.63
45	underweight	6.084	6.86
50	underweight	6.084	7.10
55	underweight	6.084	7.34
60	underweight	6.084	7.57
65	underweight	6.084	7.81
70	underweight	6.084	8.05
75	underweight	6.084	8.28
80	underweight	6.084	8.52
30	normal	6.084	6.67
35	normal	6.084	6.91
40	normal	6.084	7.14
45	normal	6.084	7.38
50	normal	6.084	7.62
55	normal	6.084	7.86
60	normal	6.084	8.09
65	normal	6.084	8.33
70	normal	6.084	8.57
75	normal	6.084	8.80
80	normal	6.084	9.04
30	overweight	6.084	7.04
35	overweight	6.084	7.28
40	overweight	6.084	7.52
45	overweight	6.084	7.75
50	overweight	6.084	7.99
55	overweight	6.084	8.23
60	overweight	6.084	8.46
65	overweight	6.084	8.70
70	overweight	6.084	8.94
75	overweight	6.084	9.17
80	overweight	6.084	9.41
30	obese	6.084	7.73
35	obese	6.084	7.97
40	obese	6.084	8.21
45	obese	6.084	8.45
50	obese	6.084	8.68
55	obese	6.084	8.92
60	obese	6.084	9.16
65	obese	6.084	9.39
70	obese	6.084	9.63
75	obese	6.084	9.87
80	obese	6.084	10.10
30	underweight	18.725	7.51
35	underweight	18.725	7.75
40	underweight	18.725	7.99
45	underweight	18.725	8.22
50	underweight	18.725	8.46
55	underweight	18.725	8.70
60	underweight	18.725	8.93
65	underweight	18.725	9.17
70	underweight	18.725	9.41
75	underweight	18.725	9.64
80	underweight	18.725	9.88
30	normal	18.725	8.03
35	normal	18.725	8.27
40	normal	18.725	8.50
45	normal	18.725	8.74
50	normal	18.725	8.98
55	normal	18.725	9.21
60	normal	18.725	9.45
65	normal	18.725	9.69
70	normal	18.725	9.93
75	normal	18.725	10.16
80	normal	18.725	10.40
30	overweight	18.725	8.40
35	overweight	18.725	8.64
40	overweight	18.725	8.88
45	overweight	18.725	9.11
50	overweight	18.725	9.35
55	overweight	18.725	9.59
60	overweight	18.725	9.82
65	overweight	18.725	10.06
70	overweight	18.725	10.30
75	overweight	18.725	10.53
80	overweight	18.725	10.77
30	obese	18.725	9.09
35	obese	18.725	9.33
40	obese	18.725	9.57
45	obese	18.725	9.80
50	obese	18.725	10.04
55	obese	18.725	10.28
60	obese	18.725	10.52
65	obese	18.725	10.75
70	obese	18.725	10.99
75	obese	18.725	11.23
80	obese	18.725	11.46
30	underweight	19.173	7.56
35	underweight	19.173	7.80
40	underweight	19.173	8.03
45	underweight	19.173	8.27
50	underweight	19.173	8.51
55	underweight	19.173	8.74
60	underweight	19.173	8.98
65	underweight	19.173	9.22
70	underweight	19.173	9.45
75	underweight	19.173	9.69
80	underweight	19.173	9.93
30	normal	19.173	8.08
35	normal	19.173	8.32
40	normal	19.173	8.55
45	normal	19.173	8.79
50	normal	19.173	9.03
55	normal	19.173	9.26
60	normal	19.173	9.50
65	normal	19.173	9.74
70	normal	19.173	9.97
75	normal	19.173	10.21
80	normal	19.173	10.45
30	overweight	19.173	8.45
35	overweight	19.173	8.69
40	overweight	19.173	8.92
45	overweight	19.173	9.16
50	overweight	19.173	9.40
55	overweight	19.173	9.63
60	overweight	19.173	9.87
65	overweight	19.173	10.11
70	overweight	19.173	10.35
75	overweight	19.173	10.58
80	overweight	19.173	10.82
30	obese	19.173	9.14
35	obese	19.173	9.38
40	obese	19.173	9.62
45	obese	19.173	9.85
50	obese	19.173	10.09
55	obese	19.173	10.33
60	obese	19.173	10.56
65	obese	19.173	10.80
70	obese	19.173	11.04
75	obese	19.173	11.27
80	obese	19.173	11.51
30	underweight	10.960	6.68
35	underweight	10.960	6.91
40	underweight	10.960	7.15
45	underweight	10.960	7.39
50	underweight	10.960	7.62
55	underweight	10.960	7.86
60	underweight	10.960	8.10
65	underweight	10.960	8.33
70	underweight	10.960	8.57
75	underweight	10.960	8.81
80	underweight	10.960	9.05
30	normal	10.960	7.20
35	normal	10.960	7.43
40	normal	10.960	7.67
45	normal	10.960	7.91
50	normal	10.960	8.14
55	normal	10.960	8.38
60	normal	10.960	8.62
65	normal	10.960	8.85
70	normal	10.960	9.09
75	normal	10.960	9.33
80	normal	10.960	9.56
30	overweight	10.960	7.57
35	overweight	10.960	7.80
40	overweight	10.960	8.04
45	overweight	10.960	8.28
50	overweight	10.960	8.51
55	overweight	10.960	8.75
60	overweight	10.960	8.99
65	overweight	10.960	9.23
70	overweight	10.960	9.46
75	overweight	10.960	9.70
80	overweight	10.960	9.94
30	obese	10.960	8.26
35	obese	10.960	8.50
40	obese	10.960	8.73
45	obese	10.960	8.97
50	obese	10.960	9.21
55	obese	10.960	9.44
60	obese	10.960	9.68
65	obese	10.960	9.92
70	obese	10.960	10.15
75	obese	10.960	10.39
80	obese	10.960	10.63
30	underweight	1.886	5.70
35	underweight	1.886	5.94
40	underweight	1.886	6.17
45	underweight	1.886	6.41
50	underweight	1.886	6.65
55	underweight	1.886	6.89
60	underweight	1.886	7.12
65	underweight	1.886	7.36
70	underweight	1.886	7.60
75	underweight	1.886	7.83
80	underweight	1.886	8.07
30	normal	1.886	6.22
35	normal	1.886	6.46
40	normal	1.886	6.69
45	normal	1.886	6.93
50	normal	1.886	7.17
55	normal	1.886	7.40
60	normal	1.886	7.64
65	normal	1.886	7.88
70	normal	1.886	8.11
75	normal	1.886	8.35
80	normal	1.886	8.59
30	overweight	1.886	6.59
35	overweight	1.886	6.83
40	overweight	1.886	7.07
45	overweight	1.886	7.30
50	overweight	1.886	7.54
55	overweight	1.886	7.78
60	overweight	1.886	8.01
65	overweight	1.886	8.25
70	overweight	1.886	8.49
75	overweight	1.886	8.72
80	overweight	1.886	8.96
30	obese	1.886	7.28
35	obese	1.886	7.52
40	obese	1.886	7.76
45	obese	1.886	7.99
50	obese	1.886	8.23
55	obese	1.886	8.47
60	obese	1.886	8.70
65	obese	1.886	8.94
70	obese	1.886	9.18
75	obese	1.886	9.42
80	obese	1.886	9.65
30	underweight	7.274	6.28
35	underweight	7.274	6.52
40	underweight	7.274	6.75
45	underweight	7.274	6.99
50	underweight	7.274	7.23
55	underweight	7.274	7.46
60	underweight	7.274	7.70
65	underweight	7.274	7.94
70	underweight	7.274	8.18
75	underweight	7.274	8.41
80	underweight	7.274	8.65
30	normal	7.274	6.80
35	normal	7.274	7.04
40	normal	7.274	7.27
45	normal	7.274	7.51
50	normal	7.274	7.75
55	normal	7.274	7.98
60	normal	7.274	8.22
65	normal	7.274	8.46
70	normal	7.274	8.69
75	normal	7.274	8.93
80	normal	7.274	9.17
30	overweight	7.274	7.17
35	overweight	7.274	7.41
40	overweight	7.274	7.64
45	overweight	7.274	7.88
50	overweight	7.274	8.12
55	overweight	7.274	8.36
60	overweight	7.274	8.59
65	overweight	7.274	8.83
70	overweight	7.274	9.07
75	overweight	7.274	9.30
80	overweight	7.274	9.54
30	obese	7.274	7.86
35	obese	7.274	8.10
40	obese	7.274	8.34
45	obese	7.274	8.57
50	obese	7.274	8.81
55	obese	7.274	9.05
60	obese	7.274	9.28
65	obese	7.274	9.52
70	obese	7.274	9.76
75	obese	7.274	9.99
80	obese	7.274	10.23
30	underweight	15.824	7.20
35	underweight	15.824	7.44
40	underweight	15.824	7.67
45	underweight	15.824	7.91
50	underweight	15.824	8.15
55	underweight	15.824	8.38
60	underweight	15.824	8.62
65	underweight	15.824	8.86
70	underweight	15.824	9.09
75	underweight	15.824	9.33
80	underweight	15.824	9.57
30	normal	15.824	7.72
35	normal	15.824	7.96
40	normal	15.824	8.19
45	normal	15.824	8.43
50	normal	15.824	8.67
55	normal	15.824	8.90
60	normal	15.824	9.14
65	normal	15.824	9.38
70	normal	15.824	9.61
75	normal	15.824	9.85
80	normal	15.824	10.09
30	overweight	15.824	8.09
35	overweight	15.824	8.33
40	overweight	15.824	8.56
45	overweight	15.824	8.80
50	overweight	15.824	9.04
55	overweight	15.824	9.27
60	overweight	15.824	9.51
65	overweight	15.824	9.75
70	overweight	15.824	9.99
75	overweight	15.824	10.22
80	overweight	15.824	10.46
30	obese	15.824	8.78
35	obese	15.824	9.02
40	obese	15.824	9.26
45	obese	15.824	9.49
50	obese	15.824	9.73
55	obese	15.824	9.97
60	obese	15.824	10.20
65	obese	15.824	10.44
70	obese	15.824	10.68
75	obese	15.824	10.91
80	obese	15.824	11.15
30	underweight	20.756	7.73
35	underweight	20.756	7.97
40	underweight	20.756	8.20
45	underweight	20.756	8.44
50	underweight	20.756	8.68
55	underweight	20.756	8.91
60	underweight	20.756	9.15
65	underweight	20.756	9.39
70	underweight	20.756	9.63
75	underweight	20.756	9.86
80	underweight	20.756	10.10
30	normal	20.756	8.25
35	normal	20.756	8.49
40	normal	20.756	8.72
45	normal	20.756	8.96
50	normal	20.756	9.20
55	normal	20.756	9.43
60	normal	20.756	9.67
65	normal	20.756	9.91
70	normal	20.756	10.14
75	normal	20.756	10.38
80	normal	20.756	10.62
30	overweight	20.756	8.62
35	overweight	20.756	8.86
40	overweight	20.756	9.09
45	overweight	20.756	9.33
50	overweight	20.756	9.57
55	overweight	20.756	9.80
60	overweight	20.756	10.04
65	overweight	20.756	10.28
70	overweight	20.756	10.52
75	overweight	20.756	10.75
80	overweight	20.756	10.99
30	obese	20.756	9.31
35	obese	20.756	9.55
40	obese	20.756	9.79
45	obese	20.756	10.02
50	obese	20.756	10.26
55	obese	20.756	10.50
60	obese	20.756	10.73
65	obese	20.756	10.97
70	obese	20.756	11.21
75	obese	20.756	11.44
80	obese	20.756	11.68
30	underweight	9.908	6.56
35	underweight	9.908	6.80
40	underweight	9.908	7.04
45	underweight	9.908	7.27
50	underweight	9.908	7.51
55	underweight	9.908	7.75
60	underweight	9.908	7.98
65	underweight	9.908	8.22
70	underweight	9.908	8.46
75	underweight	9.908	8.70
80	underweight	9.908	8.93
30	normal	9.908	7.08
35	normal	9.908	7.32
40	normal	9.908	7.56
45	normal	9.908	7.79
50	normal	9.908	8.03
55	normal	9.908	8.27
60	normal	9.908	8.50
65	normal	9.908	8.74
70	normal	9.908	8.98
75	normal	9.908	9.21
80	normal	9.908	9.45
30	overweight	9.908	7.45
35	overweight	9.908	7.69
40	overweight	9.908	7.93
45	overweight	9.908	8.16
50	overweight	9.908	8.40
55	overweight	9.908	8.64
60	overweight	9.908	8.88
65	overweight	9.908	9.11
70	overweight	9.908	9.35
75	overweight	9.908	9.59
80	overweight	9.908	9.82
30	obese	9.908	8.15
35	obese	9.908	8.38
40	obese	9.908	8.62
45	obese	9.908	8.86
50	obese	9.908	9.09
55	obese	9.908	9.33
60	obese	9.908	9.57
65	obese	9.908	9.80
70	obese	9.908	10.04
75	obese	9.908	10.28
80	obese	9.908	10.51
30	underweight	6.830	6.23
35	underweight	6.830	6.47
40	underweight	6.830	6.71
45	underweight	6.830	6.94
50	underweight	6.830	7.18
55	underweight	6.830	7.42
60	underweight	6.830	7.65
65	underweight	6.830	7.89
70	underweight	6.830	8.13
75	underweight	6.830	8.36
80	underweight	6.830	8.60
30	normal	6.830	6.75
35	normal	6.830	6.99
40	normal	6.830	7.23
45	normal	6.830	7.46
50	normal	6.830	7.70
55	normal	6.830	7.94
60	normal	6.830	8.17
65	normal	6.830	8.41
70	normal	6.830	8.65
75	normal	6.830	8.88
80	normal	6.830	9.12
30	overweight	6.830	7.12
35	overweight	6.830	7.36
40	overweight	6.830	7.60
45	overweight	6.830	7.83
50	overweight	6.830	8.07
55	overweight	6.830	8.31
60	overweight	6.830	8.54
65	overweight	6.830	8.78
70	overweight	6.830	9.02
75	overweight	6.830	9.26
80	overweight	6.830	9.49
30	obese	6.830	7.81
35	obese	6.830	8.05
40	obese	6.830	8.29
45	obese	6.830	8.53
50	obese	6.830	8.76
55	obese	6.830	9.00
60	obese	6.830	9.24
65	obese	6.830	9.47
70	obese	6.830	9.71
75	obese	6.830	9.95
80	obese	6.830	10.18
30	underweight	11.513	6.74
35	underweight	11.513	6.97
40	underweight	11.513	7.21
45	underweight	11.513	7.45
50	underweight	11.513	7.68
55	underweight	11.513	7.92
60	underweight	11.513	8.16
65	underweight	11.513	8.39
70	underweight	11.513	8.63
75	underweight	11.513	8.87
80	underweight	11.513	9.11
30	normal	11.513	7.25
35	normal	11.513	7.49
40	normal	11.513	7.73
45	normal	11.513	7.97
50	normal	11.513	8.20
55	normal	11.513	8.44
60	normal	11.513	8.68
65	normal	11.513	8.91
70	normal	11.513	9.15
75	normal	11.513	9.39
80	normal	11.513	9.62
30	overweight	11.513	7.63
35	overweight	11.513	7.86
40	overweight	11.513	8.10
45	overweight	11.513	8.34
50	overweight	11.513	8.57
55	overweight	11.513	8.81
60	overweight	11.513	9.05
65	overweight	11.513	9.28
70	overweight	11.513	9.52
75	overweight	11.513	9.76
80	overweight	11.513	10.00
30	obese	11.513	8.32
35	obese	11.513	8.56
40	obese	11.513	8.79
45	obese	11.513	9.03
50	obese	11.513	9.27
55	obese	11.513	9.50
60	obese	11.513	9.74
65	obese	11.513	9.98
70	obese	11.513	10.21
75	obese	11.513	10.45
80	obese	11.513	10.69
30	underweight	10.711	6.65
35	underweight	10.711	6.89
40	underweight	10.711	7.12
45	underweight	10.711	7.36
50	underweight	10.711	7.60
55	underweight	10.711	7.83
60	underweight	10.711	8.07
65	underweight	10.711	8.31
70	underweight	10.711	8.55
75	underweight	10.711	8.78
80	underweight	10.711	9.02
30	normal	10.711	7.17
35	normal	10.711	7.41
40	normal	10.711	7.64
45	normal	10.711	7.88
50	normal	10.711	8.12
55	normal	10.711	8.35
60	normal	10.711	8.59
65	normal	10.711	8.83
70	normal	10.711	9.06
75	normal	10.711	9.30
80	normal	10.711	9.54
30	overweight	10.711	7.54
35	overweight	10.711	7.78
40	overweight	10.711	8.01
45	overweight	10.711	8.25
50	overweight	10.711	8.49
55	overweight	10.711	8.72
60	overweight	10.711	8.96
65	overweight	10.711	9.20
70	overweight	10.711	9.44
75	overweight	10.711	9.67
80	overweight	10.711	9.91
30	obese	10.711	8.23
35	obese	10.711	8.47
40	obese	10.711	8.71
45	obese	10.711	8.94
50	obese	10.711	9.18
55	obese	10.711	9.42
60	obese	10.711	9.65
65	obese	10.711	9.89
70	obese	10.711	10.13
75	obese	10.711	10.36
80	obese	10.711	10.60
30	underweight	5.440	6.08
35	underweight	5.440	6.32
40	underweight	5.440	6.56
45	underweight	5.440	6.79
50	underweight	5.440	7.03
55	underweight	5.440	7.27
60	underweight	5.440	7.50
65	underweight	5.440	7.74
70	underweight	5.440	7.98
75	underweight	5.440	8.22
80	underweight	5.440	8.45
30	normal	5.440	6.60
35	normal	5.440	6.84
40	normal	5.440	7.08
45	normal	5.440	7.31
50	normal	5.440	7.55
55	normal	5.440	7.79
60	normal	5.440	8.02
65	normal	5.440	8.26
70	normal	5.440	8.50
75	normal	5.440	8.73
80	normal	5.440	8.97
30	overweight	5.440	6.97
35	overweight	5.440	7.21
40	overweight	5.440	7.45
45	overweight	5.440	7.68
50	overweight	5.440	7.92
55	overweight	5.440	8.16
60	overweight	5.440	8.40
65	overweight	5.440	8.63
70	overweight	5.440	8.87
75	overweight	5.440	9.11
80	overweight	5.440	9.34
30	obese	5.440	7.67
35	obese	5.440	7.90
40	obese	5.440	8.14
45	obese	5.440	8.38
50	obese	5.440	8.61
55	obese	5.440	8.85
60	obese	5.440	9.09
65	obese	5.440	9.32
70	obese	5.440	9.56
75	obese	5.440	9.80
80	obese	5.440	10.03
30	underweight	12.946	6.89
35	underweight	12.946	7.13
40	underweight	12.946	7.36
45	underweight	12.946	7.60
50	underweight	12.946	7.84
55	underweight	12.946	8.07
60	underweight	12.946	8.31
65	underweight	12.946	8.55
70	underweight	12.946	8.79
75	underweight	12.946	9.02
80	underweight	12.946	9.26
30	normal	12.946	7.41
35	normal	12.946	7.65
40	normal	12.946	7.88
45	normal	12.946	8.12
50	normal	12.946	8.36
55	normal	12.946	8.59
60	normal	12.946	8.83
65	normal	12.946	9.07
70	normal	12.946	9.30
75	normal	12.946	9.54
80	normal	12.946	9.78
30	overweight	12.946	7.78
35	overweight	12.946	8.02
40	overweight	12.946	8.25
45	overweight	12.946	8.49
50	overweight	12.946	8.73
55	overweight	12.946	8.97
60	overweight	12.946	9.20
65	overweight	12.946	9.44
70	overweight	12.946	9.68
75	overweight	12.946	9.91
80	overweight	12.946	10.15
30	obese	12.946	8.47
35	obese	12.946	8.71
40	obese	12.946	8.95
45	obese	12.946	9.18
50	obese	12.946	9.42
55	obese	12.946	9.66
60	obese	12.946	9.89
65	obese	12.946	10.13
70	obese	12.946	10.37
75	obese	12.946	10.60
80	obese	12.946	10.84
30	underweight	16.939	7.32
35	underweight	16.939	7.56
40	underweight	16.939	7.79
45	underweight	16.939	8.03
50	underweight	16.939	8.27
55	underweight	16.939	8.50
60	underweight	16.939	8.74
65	underweight	16.939	8.98
70	underweight	16.939	9.21
75	underweight	16.939	9.45
80	underweight	16.939	9.69
30	normal	16.939	7.84
35	normal	16.939	8.08
40	normal	16.939	8.31
45	normal	16.939	8.55
50	normal	16.939	8.79
55	normal	16.939	9.02
60	normal	16.939	9.26
65	normal	16.939	9.50
70	normal	16.939	9.73
75	normal	16.939	9.97
80	normal	16.939	10.21
30	overweight	16.939	8.21
35	overweight	16.939	8.45
40	overweight	16.939	8.68
45	overweight	16.939	8.92
50	overweight	16.939	9.16
55	overweight	16.939	9.39
60	overweight	16.939	9.63
65	overweight	16.939	9.87
70	overweight	16.939	10.11
75	overweight	16.939	10.34
80	overweight	16.939	10.58
30	obese	16.939	8.90
35	obese	16.939	9.14
40	obese	16.939	9.38
45	obese	16.939	9.61
50	obese	16.939	9.85
55	obese	16.939	10.09
60	obese	16.939	10.32
65	obese	16.939	10.56
70	obese	16.939	10.80
75	obese	16.939	11.03
80	obese	16.939	11.27
30	underweight	10.053	6.58
35	underweight	10.053	6.82
40	underweight	10.053	7.05
45	underweight	10.053	7.29
50	underweight	10.053	7.53
55	underweight	10.053	7.76
60	underweight	10.053	8.00
65	underweight	10.053	8.24
70	underweight	10.053	8.47
75	underweight	10.053	8.71
80	underweight	10.053	8.95
30	normal	10.053	7.10
35	normal	10.053	7.33
40	normal	10.053	7.57
45	normal	10.053	7.81
50	normal	10.053	8.05
55	normal	10.053	8.28
60	normal	10.053	8.52
65	normal	10.053	8.76
70	normal	10.053	8.99
75	normal	10.053	9.23
80	normal	10.053	9.47
30	overweight	10.053	7.47
35	overweight	10.053	7.71
40	overweight	10.053	7.94
45	overweight	10.053	8.18
50	overweight	10.053	8.42
55	overweight	10.053	8.65
60	overweight	10.053	8.89
65	overweight	10.053	9.13
70	overweight	10.053	9.36
75	overweight	10.053	9.60
80	overweight	10.053	9.84
30	obese	10.053	8.16
35	obese	10.053	8.40
40	obese	10.053	8.64
45	obese	10.053	8.87
50	obese	10.053	9.11
55	obese	10.053	9.35
60	obese	10.053	9.58
65	obese	10.053	9.82
70	obese	10.053	10.06
75	obese	10.053	10.29
80	obese	10.053	10.53
30	underweight	13.116	6.91
35	underweight	13.116	7.15
40	underweight	13.116	7.38
45	underweight	13.116	7.62
50	underweight	13.116	7.86
55	underweight	13.116	8.09
60	underweight	13.116	8.33
65	underweight	13.116	8.57
70	underweight	13.116	8.80
75	underweight	13.116	9.04
80	underweight	13.116	9.28
30	normal	13.116	7.43
35	normal	13.116	7.66
40	normal	13.116	7.90
45	normal	13.116	8.14
50	normal	13.116	8.37
55	normal	13.116	8.61
60	normal	13.116	8.85
65	normal	13.116	9.09
70	normal	13.116	9.32
75	normal	13.116	9.56
80	normal	13.116	9.80
30	overweight	13.116	7.80
35	overweight	13.116	8.04
40	overweight	13.116	8.27
45	overweight	13.116	8.51
50	overweight	13.116	8.75
55	overweight	13.116	8.98
60	overweight	13.116	9.22
65	overweight	13.116	9.46
70	overweight	13.116	9.69
75	overweight	13.116	9.93
80	overweight	13.116	10.17
30	obese	13.116	8.49
35	obese	13.116	8.73
40	obese	13.116	8.96
45	obese	13.116	9.20
50	obese	13.116	9.44
55	obese	13.116	9.68
60	obese	13.116	9.91
65	obese	13.116	10.15
70	obese	13.116	10.39
75	obese	13.116	10.62
80	obese	13.116	10.86
30	underweight	11.247	6.71
35	underweight	11.247	6.94
40	underweight	11.247	7.18
45	underweight	11.247	7.42
50	underweight	11.247	7.66
55	underweight	11.247	7.89
60	underweight	11.247	8.13
65	underweight	11.247	8.37
70	underweight	11.247	8.60
75	underweight	11.247	8.84
80	underweight	11.247	9.08
30	normal	11.247	7.23
35	normal	11.247	7.46
40	normal	11.247	7.70
45	normal	11.247	7.94
50	normal	11.247	8.17
55	normal	11.247	8.41
60	normal	11.247	8.65
65	normal	11.247	8.88
70	normal	11.247	9.12
75	normal	11.247	9.36
80	normal	11.247	9.60
30	overweight	11.247	7.60
35	overweight	11.247	7.83
40	overweight	11.247	8.07
45	overweight	11.247	8.31
50	overweight	11.247	8.55
55	overweight	11.247	8.78
60	overweight	11.247	9.02
65	overweight	11.247	9.26
70	overweight	11.247	9.49
75	overweight	11.247	9.73
80	overweight	11.247	9.97
30	obese	11.247	8.29
35	obese	11.247	8.53
40	obese	11.247	8.76
45	obese	11.247	9.00
50	obese	11.247	9.24
55	obese	11.247	9.47
60	obese	11.247	9.71
65	obese	11.247	9.95
70	obese	11.247	10.18
75	obese	11.247	10.42
80	obese	11.247	10.66
30	underweight	12.295	6.82
35	underweight	12.295	7.06
40	underweight	12.295	7.29
45	underweight	12.295	7.53
50	underweight	12.295	7.77
55	underweight	12.295	8.00
60	underweight	12.295	8.24
65	underweight	12.295	8.48
70	underweight	12.295	8.72
75	underweight	12.295	8.95
80	underweight	12.295	9.19
30	normal	12.295	7.34
35	normal	12.295	7.58
40	normal	12.295	7.81
45	normal	12.295	8.05
50	normal	12.295	8.29
55	normal	12.295	8.52
60	normal	12.295	8.76
65	normal	12.295	9.00
70	normal	12.295	9.23
75	normal	12.295	9.47
80	normal	12.295	9.71
30	overweight	12.295	7.71
35	overweight	12.295	7.95
40	overweight	12.295	8.18
45	overweight	12.295	8.42
50	overweight	12.295	8.66
55	overweight	12.295	8.90
60	overweight	12.295	9.13
65	overweight	12.295	9.37
70	overweight	12.295	9.61
75	overweight	12.295	9.84
80	overweight	12.295	10.08
30	obese	12.295	8.40
35	obese	12.295	8.64
40	obese	12.295	8.88
45	obese	12.295	9.11
50	obese	12.295	9.35
55	obese	12.295	9.59
60	obese	12.295	9.82
65	obese	12.295	10.06
70	obese	12.295	10.30
75	obese	12.295	10.53
80	obese	12.295	10.77
30	underweight	8.919	6.46
35	underweight	8.919	6.69
40	underweight	8.919	6.93
45	underweight	8.919	7.17
50	underweight	8.919	7.40
55	underweight	8.919	7.64
60	underweight	8.919	7.88
65	underweight	8.919	8.12
70	underweight	8.919	8.35
75	underweight	8.919	8.59
80	underweight	8.919	8.83
30	normal	8.919	6.98
35	normal	8.919	7.21
40	normal	8.919	7.45
45	normal	8.919	7.69
50	normal	8.919	7.92
55	normal	8.919	8.16
60	normal	8.919	8.40
65	normal	8.919	8.63
70	normal	8.919	8.87
75	normal	8.919	9.11
80	normal	8.919	9.34
30	overweight	8.919	7.35
35	overweight	8.919	7.58
40	overweight	8.919	7.82
45	overweight	8.919	8.06
50	overweight	8.919	8.30
55	overweight	8.919	8.53
60	overweight	8.919	8.77
65	overweight	8.919	9.01
70	overweight	8.919	9.24
75	overweight	8.919	9.48
80	overweight	8.919	9.72
30	obese	8.919	8.04
35	obese	8.919	8.28
40	obese	8.919	8.51
45	obese	8.919	8.75
50	obese	8.919	8.99
55	obese	8.919	9.22
60	obese	8.919	9.46
65	obese	8.919	9.70
70	obese	8.919	9.93
75	obese	8.919	10.17
80	obese	8.919	10.41
30	underweight	15.976	7.22
35	underweight	15.976	7.45
40	underweight	15.976	7.69
45	underweight	15.976	7.93
50	underweight	15.976	8.16
55	underweight	15.976	8.40
60	underweight	15.976	8.64
65	underweight	15.976	8.87
70	underweight	15.976	9.11
75	underweight	15.976	9.35
80	underweight	15.976	9.58
30	normal	15.976	7.73
35	normal	15.976	7.97
40	normal	15.976	8.21
45	normal	15.976	8.45
50	normal	15.976	8.68
55	normal	15.976	8.92
60	normal	15.976	9.16
65	normal	15.976	9.39
70	normal	15.976	9.63
75	normal	15.976	9.87
80	normal	15.976	10.10
30	overweight	15.976	8.11
35	overweight	15.976	8.34
40	overweight	15.976	8.58
45	overweight	15.976	8.82
50	overweight	15.976	9.05
55	overweight	15.976	9.29
60	overweight	15.976	9.53
65	overweight	15.976	9.76
70	overweight	15.976	10.00
75	overweight	15.976	10.24
80	overweight	15.976	10.48
30	obese	15.976	8.80
35	obese	15.976	9.04
40	obese	15.976	9.27
45	obese	15.976	9.51
50	obese	15.976	9.75
55	obese	15.976	9.98
60	obese	15.976	10.22
65	obese	15.976	10.46
70	obese	15.976	10.69
75	obese	15.976	10.93
80	obese	15.976	11.17
30	underweight	11.146	6.70
35	underweight	11.146	6.93
40	underweight	11.146	7.17
45	underweight	11.146	7.41
50	underweight	11.146	7.64
55	underweight	11.146	7.88
60	underweight	11.146	8.12
65	underweight	11.146	8.36
70	underweight	11.146	8.59
75	underweight	11.146	8.83
80	underweight	11.146	9.07
30	normal	11.146	7.22
35	normal	11.146	7.45
40	normal	11.146	7.69
45	normal	11.146	7.93
50	normal	11.146	8.16
55	normal	11.146	8.40
60	normal	11.146	8.64
65	normal	11.146	8.87
70	normal	11.146	9.11
75	normal	11.146	9.35
80	normal	11.146	9.58
30	overweight	11.146	7.59
35	overweight	11.146	7.82
40	overweight	11.146	8.06
45	overweight	11.146	8.30
50	overweight	11.146	8.53
55	overweight	11.146	8.77
60	overweight	11.146	9.01
65	overweight	11.146	9.25
70	overweight	11.146	9.48
75	overweight	11.146	9.72
80	overweight	11.146	9.96
30	obese	11.146	8.28
35	obese	11.146	8.52
40	obese	11.146	8.75
45	obese	11.146	8.99
50	obese	11.146	9.23
55	obese	11.146	9.46
60	obese	11.146	9.70
65	obese	11.146	9.94
70	obese	11.146	10.17
75	obese	11.146	10.41
80	obese	11.146	10.65
30	underweight	7.473	6.30
35	underweight	7.473	6.54
40	underweight	7.473	6.78
45	underweight	7.473	7.01
50	underweight	7.473	7.25
55	underweight	7.473	7.49
60	underweight	7.473	7.72
65	underweight	7.473	7.96
70	underweight	7.473	8.20
75	underweight	7.473	8.43
80	underweight	7.473	8.67
30	normal	7.473	6.82
35	normal	7.473	7.06
40	normal	7.473	7.29
45	normal	7.473	7.53
50	normal	7.473	7.77
55	normal	7.473	8.00
60	normal	7.473	8.24
65	normal	7.473	8.48
70	normal	7.473	8.72
75	normal	7.473	8.95
80	normal	7.473	9.19
30	overweight	7.473	7.19
35	overweight	7.473	7.43
40	overweight	7.473	7.67
45	overweight	7.473	7.90
50	overweight	7.473	8.14
55	overweight	7.473	8.38
60	overweight	7.473	8.61
65	overweight	7.473	8.85
70	overweight	7.473	9.09
75	overweight	7.473	9.32
80	overweight	7.473	9.56
30	obese	7.473	7.88
35	obese	7.473	8.12
40	obese	7.473	8.36
45	obese	7.473	8.59
50	obese	7.473	8.83
55	obese	7.473	9.07
60	obese	7.473	9.31
65	obese	7.473	9.54
70	obese	7.473	9.78
75	obese	7.473	10.02
80	obese	7.473	10.25
30	underweight	13.139	6.91
35	underweight	13.139	7.15
40	underweight	13.139	7.38
45	underweight	13.139	7.62
50	underweight	13.139	7.86
55	underweight	13.139	8.10
60	underweight	13.139	8.33
65	underweight	13.139	8.57
70	underweight	13.139	8.81
75	underweight	13.139	9.04
80	underweight	13.139	9.28
30	normal	13.139	7.43
35	normal	13.139	7.67
40	normal	13.139	7.90
45	normal	13.139	8.14
50	normal	13.139	8.38
55	normal	13.139	8.61
60	normal	13.139	8.85
65	normal	13.139	9.09
70	normal	13.139	9.32
75	normal	13.139	9.56
80	normal	13.139	9.80
30	overweight	13.139	7.80
35	overweight	13.139	8.04
40	overweight	13.139	8.28
45	overweight	13.139	8.51
50	overweight	13.139	8.75
55	overweight	13.139	8.99
60	overweight	13.139	9.22
65	overweight	13.139	9.46
70	overweight	13.139	9.70
75	overweight	13.139	9.93
80	overweight	13.139	10.17
30	obese	13.139	8.49
35	obese	13.139	8.73
40	obese	13.139	8.97
45	obese	13.139	9.20
50	obese	13.139	9.44
55	obese	13.139	9.68
60	obese	13.139	9.91
65	obese	13.139	10.15
70	obese	13.139	10.39
75	obese	13.139	10.63
80	obese	13.139	10.86
30	underweight	14.773	7.09
35	underweight	14.773	7.32
40	underweight	14.773	7.56
45	underweight	14.773	7.80
50	underweight	14.773	8.03
55	underweight	14.773	8.27
60	underweight	14.773	8.51
65	underweight	14.773	8.74
70	underweight	14.773	8.98
75	underweight	14.773	9.22
80	underweight	14.773	9.46
30	normal	14.773	7.61
35	normal	14.773	7.84
40	normal	14.773	8.08
45	normal	14.773	8.32
50	normal	14.773	8.55
55	normal	14.773	8.79
60	normal	14.773	9.03
65	normal	14.773	9.26
70	normal	14.773	9.50
75	normal	14.773	9.74
80	normal	14.773	9.97
30	overweight	14.773	7.98
35	overweight	14.773	8.21
40	overweight	14.773	8.45
45	overweight	14.773	8.69
50	overweight	14.773	8.92
55	overweight	14.773	9.16
60	overweight	14.773	9.40
65	overweight	14.773	9.64
70	overweight	14.773	9.87
75	overweight	14.773	10.11
80	overweight	14.773	10.35
30	obese	14.773	8.67
35	obese	14.773	8.91
40	obese	14.773	9.14
45	obese	14.773	9.38
50	obese	14.773	9.62
55	obese	14.773	9.85
60	obese	14.773	10.09
65	obese	14.773	10.33
70	obese	14.773	10.56
75	obese	14.773	10.80
80	obese	14.773	11.04
30	underweight	9.614	6.53
35	underweight	9.614	6.77
40	underweight	9.614	7.01
45	underweight	9.614	7.24
50	underweight	9.614	7.48
55	underweight	9.614	7.72
60	underweight	9.614	7.95
65	underweight	9.614	8.19
70	underweight	9.614	8.43
75	underweight	9.614	8.66
80	underweight	9.614	8.90
30	normal	9.614	7.05
35	normal	9.614	7.29
40	normal	9.614	7.52
45	normal	9.614	7.76
50	normal	9.614	8.00
55	normal	9.614	8.24
60	normal	9.614	8.47
65	normal	9.614	8.71
70	normal	9.614	8.95
75	normal	9.614	9.18
80	normal	9.614	9.42
30	overweight	9.614	7.42
35	overweight	9.614	7.66
40	overweight	9.614	7.90
45	overweight	9.614	8.13
50	overweight	9.614	8.37
55	overweight	9.614	8.61
60	overweight	9.614	8.84
65	overweight	9.614	9.08
70	overweight	9.614	9.32
75	overweight	9.614	9.55
80	overweight	9.614	9.79
30	obese	9.614	8.11
35	obese	9.614	8.35
40	obese	9.614	8.59
45	obese	9.614	8.82
50	obese	9.614	9.06
55	obese	9.614	9.30
60	obese	9.614	9.54
65	obese	9.614	9.77
70	obese	9.614	10.01
75	obese	9.614	10.25
80	obese	9.614	10.48
30	underweight	-3.404	5.13
35	underweight	-3.404	5.37
40	underweight	-3.404	5.61
45	underweight	-3.404	5.84
50	underweight	-3.404	6.08
55	underweight	-3.404	6.32
60	underweight	-3.404	6.55
65	underweight	-3.404	6.79
70	underweight	-3.404	7.03
75	underweight	-3.404	7.26
80	underweight	-3.404	7.50
30	normal	-3.404	5.65
35	normal	-3.404	5.89
40	normal	-3.404	6.12
45	normal	-3.404	6.36
50	normal	-3.404	6.60
55	normal	-3.404	6.84
60	normal	-3.404	7.07
65	normal	-3.404	7.31
70	normal	-3.404	7.55
75	normal	-3.404	7.78
80	normal	-3.404	8.02
30	overweight	-3.404	6.02
35	overweight	-3.404	6.26
40	overweight	-3.404	6.50
45	overweight	-3.404	6.73
50	overweight	-3.404	6.97
55	overweight	-3.404	7.21
60	overweight	-3.404	7.44
65	overweight	-3.404	7.68
70	overweight	-3.404	7.92
75	overweight	-3.404	8.15
80	overweight	-3.404	8.39
30	obese	-3.404	6.71
35	obese	-3.404	6.95
40	obese	-3.404	7.19
45	obese	-3.404	7.43
50	obese	-3.404	7.66
55	obese	-3.404	7.90
60	obese	-3.404	8.14
65	obese	-3.404	8.37
70	obese	-3.404	8.61
75	obese	-3.404	8.85
80	obese	-3.404	9.08
30	underweight	18.168	7.45
35	underweight	18.168	7.69
40	underweight	18.168	7.93
45	underweight	18.168	8.16
50	underweight	18.168	8.40
55	underweight	18.168	8.64
60	underweight	18.168	8.87
65	underweight	18.168	9.11
70	underweight	18.168	9.35
75	underweight	18.168	9.58
80	underweight	18.168	9.82
30	normal	18.168	7.97
35	normal	18.168	8.21
40	normal	18.168	8.44
45	normal	18.168	8.68
50	normal	18.168	8.92
55	normal	18.168	9.15
60	normal	18.168	9.39
65	normal	18.168	9.63
70	normal	18.168	9.87
75	normal	18.168	10.10
80	normal	18.168	10.34
30	overweight	18.168	8.34
35	overweight	18.168	8.58
40	overweight	18.168	8.82
45	overweight	18.168	9.05
50	overweight	18.168	9.29
55	overweight	18.168	9.53
60	overweight	18.168	9.76
65	overweight	18.168	10.00
70	overweight	18.168	10.24
75	overweight	18.168	10.47
80	overweight	18.168	10.71
30	obese	18.168	9.03
35	obese	18.168	9.27
40	obese	18.168	9.51
45	obese	18.168	9.74
50	obese	18.168	9.98
55	obese	18.168	10.22
60	obese	18.168	10.46
65	obese	18.168	10.69
70	obese	18.168	10.93
75	obese	18.168	11.17
80	obese	18.168	11.40
30	underweight	6.234	6.17
35	underweight	6.234	6.41
40	underweight	6.234	6.64
45	underweight	6.234	6.88
50	underweight	6.234	7.12
55	underweight	6.234	7.35
60	underweight	6.234	7.59
65	underweight	6.234	7.83
70	underweight	6.234	8.06
75	underweight	6.234	8.30
80	underweight	6.234	8.54
30	normal	6.234	6.69
35	normal	6.234	6.92
40	normal	6.234	7.16
45	normal	6.234	7.40
50	normal	6.234	7.63
55	normal	6.234	7.87
60	normal	6.234	8.11
65	normal	6.234	8.35
70	normal	6.234	8.58
75	normal	6.234	8.82
80	normal	6.234	9.06
30	overweight	6.234	7.06
35	overweight	6.234	7.30
40	overweight	6.234	7.53
45	overweight	6.234	7.77
50	overweight	6.234	8.01
55	overweight	6.234	8.24
60	overweight	6.234	8.48
65	overweight	6.234	8.72
70	overweight	6.234	8.95
75	overweight	6.234	9.19
80	overweight	6.234	9.43
30	obese	6.234	7.75
35	obese	6.234	7.99
40	obese	6.234	8.22
45	obese	6.234	8.46
50	obese	6.234	8.70
55	obese	6.234	8.94
60	obese	6.234	9.17
65	obese	6.234	9.41
70	obese	6.234	9.65
75	obese	6.234	9.88
80	obese	6.234	10.12
30	underweight	8.241	6.38
35	underweight	8.241	6.62
40	underweight	8.241	6.86
45	underweight	8.241	7.10
50	underweight	8.241	7.33
55	underweight	8.241	7.57
60	underweight	8.241	7.81
65	underweight	8.241	8.04
70	underweight	8.241	8.28
75	underweight	8.241	8.52
80	underweight	8.241	8.75
30	normal	8.241	6.90
35	normal	8.241	7.14
40	normal	8.241	7.38
45	normal	8.241	7.61
50	normal	8.241	7.85
55	normal	8.241	8.09
60	normal	8.241	8.32
65	normal	8.241	8.56
70	normal	8.241	8.80
75	normal	8.241	9.04
80	normal	8.241	9.27
30	overweight	8.241	7.27
35	overweight	8.241	7.51
40	overweight	8.241	7.75
45	overweight	8.241	7.99
50	overweight	8.241	8.22
55	overweight	8.241	8.46
60	overweight	8.241	8.70
65	overweight	8.241	8.93
70	overweight	8.241	9.17
75	overweight	8.241	9.41
80	overweight	8.241	9.64
30	obese	8.241	7.97
35	obese	8.241	8.20
40	obese	8.241	8.44
45	obese	8.241	8.68
50	obese	8.241	8.91
55	obese	8.241	9.15
60	obese	8.241	9.39
65	obese	8.241	9.62
70	obese	8.241	9.86
75	obese	8.241	10.10
80	obese	8.241	10.34
30	underweight	18.080	7.44
35	underweight	18.080	7.68
40	underweight	18.080	7.92
45	underweight	18.080	8.15
50	underweight	18.080	8.39
55	underweight	18.080	8.63
60	underweight	18.080	8.86
65	underweight	18.080	9.10
70	underweight	18.080	9.34
75	underweight	18.080	9.57
80	underweight	18.080	9.81
30	normal	18.080	7.96
35	normal	18.080	8.20
40	normal	18.080	8.43
45	normal	18.080	8.67
50	normal	18.080	8.91
55	normal	18.080	9.15
60	normal	18.080	9.38
65	normal	18.080	9.62
70	normal	18.080	9.86
75	normal	18.080	10.09
80	normal	18.080	10.33
30	overweight	18.080	8.33
35	overweight	18.080	8.57
40	overweight	18.080	8.81
45	overweight	18.080	9.04
50	overweight	18.080	9.28
55	overweight	18.080	9.52
60	overweight	18.080	9.75
65	overweight	18.080	9.99
70	overweight	18.080	10.23
75	overweight	18.080	10.46
80	overweight	18.080	10.70
30	obese	18.080	9.02
35	obese	18.080	9.26
40	obese	18.080	9.50
45	obese	18.080	9.74
50	obese	18.080	9.97
55	obese	18.080	10.21
60	obese	18.080	10.45
65	obese	18.080	10.68
70	obese	18.080	10.92
75	obese	18.080	11.16
80	obese	18.080	11.39
30	underweight	0.497	5.55
35	underweight	0.497	5.79
40	underweight	0.497	6.03
45	underweight	0.497	6.26
50	underweight	0.497	6.50
55	underweight	0.497	6.74
60	underweight	0.497	6.97
65	underweight	0.497	7.21
70	underweight	0.497	7.45
75	underweight	0.497	7.68
80	underweight	0.497	7.92
30	normal	0.497	6.07
35	normal	0.497	6.31
40	normal	0.497	6.54
45	normal	0.497	6.78
50	normal	0.497	7.02
55	normal	0.497	7.25
60	normal	0.497	7.49
65	normal	0.497	7.73
70	normal	0.497	7.97
75	normal	0.497	8.20
80	normal	0.497	8.44
30	overweight	0.497	6.44
35	overweight	0.497	6.68
40	overweight	0.497	6.92
45	overweight	0.497	7.15
50	overweight	0.497	7.39
55	overweight	0.497	7.63
60	overweight	0.497	7.86
65	overweight	0.497	8.10
70	overweight	0.497	8.34
75	overweight	0.497	8.57
80	overweight	0.497	8.81
30	obese	0.497	7.13
35	obese	0.497	7.37
40	obese	0.497	7.61
45	obese	0.497	7.84
50	obese	0.497	8.08
55	obese	0.497	8.32
60	obese	0.497	8.56
65	obese	0.497	8.79
70	obese	0.497	9.03
75	obese	0.497	9.27
80	obese	0.497	9.50
30	underweight	4.454	5.98
35	underweight	4.454	6.21
40	underweight	4.454	6.45
45	underweight	4.454	6.69
50	underweight	4.454	6.92
55	underweight	4.454	7.16
60	underweight	4.454	7.40
65	underweight	4.454	7.64
70	underweight	4.454	7.87
75	underweight	4.454	8.11
80	underweight	4.454	8.35
30	normal	4.454	6.50
35	normal	4.454	6.73
40	normal	4.454	6.97
45	normal	4.454	7.21
50	normal	4.454	7.44
55	normal	4.454	7.68
60	normal	4.454	7.92
65	normal	4.454	8.15
70	normal	4.454	8.39
75	normal	4.454	8.63
80	normal	4.454	8.86
30	overweight	4.454	6.87
35	overweight	4.454	7.10
40	overweight	4.454	7.34
45	overweight	4.454	7.58
50	overweight	4.454	7.82
55	overweight	4.454	8.05
60	overweight	4.454	8.29
65	overweight	4.454	8.53
70	overweight	4.454	8.76
75	overweight	4.454	9.00
80	overweight	4.454	9.24
30	obese	4.454	7.56
35	obese	4.454	7.80
40	obese	4.454	8.03
45	obese	4.454	8.27
50	obese	4.454	8.51
55	obese	4.454	8.74
60	obese	4.454	8.98
65	obese	4.454	9.22
70	obese	4.454	9.45
75	obese	4.454	9.69
80	obese	4.454	9.93
30	underweight	6.240	6.17
35	underweight	6.240	6.41
40	underweight	6.240	6.64
45	underweight	6.240	6.88
50	underweight	6.240	7.12
55	underweight	6.240	7.35
60	underweight	6.240	7.59
65	underweight	6.240	7.83
70	underweight	6.240	8.06
75	underweight	6.240	8.30
80	underweight	6.240	8.54
30	normal	6.240	6.69
35	normal	6.240	6.92
40	normal	6.240	7.16
45	normal	6.240	7.40
50	normal	6.240	7.64
55	normal	6.240	7.87
60	normal	6.240	8.11
65	normal	6.240	8.35
70	normal	6.240	8.58
75	normal	6.240	8.82
80	normal	6.240	9.06
30	overweight	6.240	7.06
35	overweight	6.240	7.30
40	overweight	6.240	7.53
45	overweight	6.240	7.77
50	overweight	6.240	8.01
55	overweight	6.240	8.24
60	overweight	6.240	8.48
65	overweight	6.240	8.72
70	overweight	6.240	8.95
75	overweight	6.240	9.19
80	overweight	6.240	9.43
30	obese	6.240	7.75
35	obese	6.240	7.99
40	obese	6.240	8.23
45	obese	6.240	8.46
50	obese	6.240	8.70
55	obese	6.240	8.94
60	obese	6.240	9.17
65	obese	6.240	9.41
70	obese	6.240	9.65
75	obese	6.240	9.88
80	obese	6.240	10.12
30	underweight	3.422	5.87
35	underweight	3.422	6.10
40	underweight	3.422	6.34
45	underweight	3.422	6.58
50	underweight	3.422	6.81
55	underweight	3.422	7.05
60	underweight	3.422	7.29
65	underweight	3.422	7.52
70	underweight	3.422	7.76
75	underweight	3.422	8.00
80	underweight	3.422	8.24
30	normal	3.422	6.38
35	normal	3.422	6.62
40	normal	3.422	6.86
45	normal	3.422	7.10
50	normal	3.422	7.33
55	normal	3.422	7.57
60	normal	3.422	7.81
65	normal	3.422	8.04
70	normal	3.422	8.28
75	normal	3.422	8.52
80	normal	3.422	8.75
30	overweight	3.422	6.76
35	overweight	3.422	6.99
40	overweight	3.422	7.23
45	overweight	3.422	7.47
50	overweight	3.422	7.70
55	overweight	3.422	7.94
60	overweight	3.422	8.18
65	overweight	3.422	8.41
70	overweight	3.422	8.65
75	overweight	3.422	8.89
80	overweight	3.422	9.13
30	obese	3.422	7.45
35	obese	3.422	7.69
40	obese	3.422	7.92
45	obese	3.422	8.16
50	obese	3.422	8.40
55	obese	3.422	8.63
60	obese	3.422	8.87
65	obese	3.422	9.11
70	obese	3.422	9.34
75	obese	3.422	9.58
80	obese	3.422	9.82

10. Check Influentials

Cook’s distance

cutoff <- 4/(nrow(diabetes_data)-length(mod_full$coefficients)-2)
plot(mod_full, which=4, cook.levels=cutoff)

Leverage and standardized residuals

diabetes_pred.res %>% 
  filter(.std.resid > 2 | .std.resid < -2 | .hat > 0.038) %>% 
  flextable()

hba1c	age	bmi	duration_diabetes	.fitted	.resid	.hat	.sigma	.cooksd	.std.resid
11.8	67.2	obese	8.8	9.79	2.01	0.00621	1.001	0.00422	2.01
10.5	52.8	overweight	8.6	8.39	2.11	0.00365	1.000	0.00271	2.11
6.6	48.1	overweight	15.6	8.92	-2.32	0.00488	1.000	0.00441	-2.32
10.3	57.4	normal	7.7	8.14	2.16	0.00271	1.000	0.00211	2.16
7.1	49.2	obese	15.7	9.68	-2.58	0.00703	0.999	0.00787	-2.58
5.7	48.6	normal	14.5	8.46	-2.76	0.00377	0.999	0.00479	-2.76
6.3	53.0	normal	13.1	8.52	-2.22	0.00298	1.000	0.00244	-2.21
6.2	61.0	overweight	7.4	8.65	-2.45	0.00420	1.000	0.00423	-2.45
8.2	77.0	obese	9.0	10.27	-2.07	0.00935	1.000	0.00681	-2.08
5.8	53.2	underweight	14.4	8.15	-2.35	0.01010	1.000	0.00941	-2.35
4.9	39.7	underweight	12.8	7.33	-2.43	0.01182	1.000	0.01190	-2.44
6.5	64.6	normal	9.7	8.70	-2.20	0.00344	1.000	0.00278	-2.20
11.3	56.3	normal	15.5	8.93	2.37	0.00389	1.000	0.00366	2.37
11.6	61.8	normal	14.4	9.07	2.53	0.00393	0.999	0.00420	2.53
12.0	55.1	overweight	15.6	9.26	2.74	0.00450	0.999	0.00567	2.75
6.5	65.2	normal	10.4	8.80	-2.30	0.00359	1.000	0.00318	-2.30
11.3	63.7	underweight	17.0	8.92	2.38	0.01229	1.000	0.01181	2.39
10.9	46.1	overweight	13.8	8.64	2.26	0.00459	1.000	0.00394	2.27
13.5	79.2	obese	15.8	11.11	2.39	0.01233	1.000	0.01198	2.40
7.1	50.9	obese	10.7	9.22	-2.12	0.00535	1.000	0.00404	-2.12
12.5	58.1	normal	17.1	9.19	3.31	0.00488	0.997	0.00898	3.31
12.2	68.3	obese	7.0	9.65	2.55	0.00665	0.999	0.00729	2.56
7.2	69.0	normal	14.6	9.43	-2.23	0.00563	1.000	0.00472	-2.24
10.7	39.9	overweight	10.9	8.03	2.67	0.00571	0.999	0.00683	2.67
6.5	66.1	normal	7.3	8.51	-2.01	0.00395	1.001	0.00267	-2.01
6.1	56.4	normal	9.7	8.31	-2.21	0.00251	1.000	0.00204	-2.21
5.3	49.4	normal	5.0	7.47	-2.17	0.00381	1.000	0.00301	-2.17
10.4	49.7	normal	13.0	8.35	2.05	0.00317	1.001	0.00223	2.05
6.9	60.8	obese	5.1	9.09	-2.19	0.00596	1.000	0.00479	-2.19
10.5	43.1	overweight	10.9	8.18	2.32	0.00484	1.000	0.00436	2.32
6.1	56.0	obese	7.2	9.09	-2.99	0.00522	0.998	0.00781	-2.99
11.6	64.0	obese	6.7	9.41	2.19	0.00588	1.000	0.00472	2.19
11.3	48.1	overweight	12.2	8.56	2.74	0.00398	0.999	0.00501	2.74
9.3	47.7	underweight	8.5	7.25	2.05	0.00997	1.001	0.00709	2.05
5.7	41.4	normal	16.4	8.32	-2.62	0.00601	0.999	0.00693	-2.62
4.4	57.1	underweight	5.0	7.32	-2.92	0.01049	0.998	0.01516	-2.93
7.5	78.7	normal	12.7	9.69	-2.19	0.00877	1.000	0.00711	-2.19
11.1	53.8	overweight	14.5	9.08	2.02	0.00408	1.001	0.00280	2.02
10.4	49.1	overweight	9.2	8.28	2.12	0.00387	1.000	0.00290	2.12
10.1	35.4	normal	12.4	7.61	2.49	0.00658	1.000	0.00689	2.50
10.5	48.4	overweight	9.1	8.24	2.26	0.00397	1.000	0.00339	2.26
6.6	54.2	obese	12.5	9.57	-2.97	0.00541	0.998	0.00801	-2.97
6.2	79.9	overweight	3.8	9.16	-2.96	0.01141	0.998	0.01699	-2.97
6.1	55.0	overweight	10.5	8.70	-2.60	0.00344	0.999	0.00389	-2.60
6.5	48.1	overweight	13.3	8.68	-2.18	0.00417	1.000	0.00330	-2.18
10.4	55.7	normal	10.5	8.36	2.04	0.00252	1.001	0.00174	2.03
9.7	44.0	normal	9.4	7.69	2.01	0.00373	1.001	0.00252	2.01

Non-influential observations

non.influen.obs <- diabetes_pred.res %>% 
  filter(.std.resid < 2 & .std.resid > -2 & .hat <= 0.038)

Re-run the final model again

prelim.final.m2 <- lm(hba1c ~ age + bmi + duration_diabetes, data = non.influen.obs)

Run diagnostic test

par(mfrow=c(2,2))
plot(prelim.final.m2)

11. Model Presentation

# Load packages
library(gtsummary)

## 
## Attaching package: 'gtsummary'

## The following object is masked from 'package:flextable':
## 
##     continuous_summary

## The following object is masked from 'package:MASS':
## 
##     select

library(gt)
library(broom)

# Build regression table
final_table <- mod_full %>%
  # 1. Create regression summary table
  tbl_regression(
    exponentiate = FALSE,
    label = list(
      age ~ "Age (years)",
      bmi ~ "Body Mass Index",
      duration_diabetes ~ "Duration of Diabetes (years)"
    )
  ) %>%
  
  # 2. Add model fitness statistics
  add_glance_source_note(
    label = list(
      r.squared ~ "R²",
      adj.r.squared ~ "Adjusted R²",
      AIC ~ "Akaike Information Criterion"
    ),
    include = c(r.squared, adj.r.squared, AIC)
  ) %>%
  
  # 3. Convert to GT object and add headers
  as_gt() %>%
  gt::tab_header(
    title = "Multiple Linear Regression Analysis of HbA1c",
    subtitle = "Association between predictors and Glycemic Control"
  )

# 4. View table
final_table

Characteristic	Beta	95% CI	p-value
Multiple Linear Regression Analysis of HbA1c
Association between predictors and Glycemic Control
Age (years)	0.05	0.04, 0.05	<0.001
Body Mass Index
normal	—	—
underweight	-0.52	-0.73, -0.30	<0.001
overweight	0.37	0.22, 0.52	<0.001
obese	1.1	0.89, 1.2	<0.001
Duration of Diabetes (years)	0.11	0.09, 0.12	<0.001
Abbreviation: CI = Confidence Interval
R² = 0.415; Adjusted R² = 0.412; Akaike Information Criterion = 2,850

12. Interpretation & Conclusion

Result interpretation

The final multiple linear regression model indicates that age, BMI, duration of diabetes, and physical activity are significantly associated with glycemic control (HbA1c levels).
Age: Each additional year of age is associated with a 0.05% increase in HbA1c (95% CI: 0.04, 0.05), after controlling for other variables in the model.
Duration of Diabetes: Each additional year of living with diabetes is associated with a 0.11% increase in HbA1c (95% CI: 0.09, 0.12), after adjusting for other variables in the model.
BMI: Being Obese individuals have 1.1% higher HbA1c levels (95% CI: 0.89, 1.2) compared to those with normal weight, after controlling for other variables in the model. Overweight individuals show a 0.37% increase in HbA1c (95% CI: 0.22, 0.52), while underweight individuals have 0.52% lower HbA1c levels compared to normal weight (95% CI: −0.73, −0.30), after controlling for other variables in the model.
Model Fit: The model explains approximately 41.2% of the variance in HbA1c levels (Adjusted \(R^2\) = 0.412), suggesting that these clinical factors are collectively strong predictors of glycemic control.

Conclusion

Older age, higher BMI, and longer duration of diabetes are all significantly associated with higher HbA1c levels. The model shows a clear dose–response relationship with BMI and a strong linear effect of diabetes duration. The fit is moderate, suggesting other factors may also contribute to glycemic control.