##########################################
# 1. Cargar paquetes necesarios
##########################################
library(readr)
library(dplyr)
## Warning: package 'dplyr' was built under R version 4.4.3
## 
## Adjuntando el paquete: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(ggplot2)
## Warning: package 'ggplot2' was built under R version 4.4.3
library(stringr)
## Warning: package 'stringr' was built under R version 4.4.3
library(tidyr)
library(tigerstats)
## Cargando paquete requerido: abd
## Cargando paquete requerido: nlme
## 
## Adjuntando el paquete: 'nlme'
## The following object is masked from 'package:dplyr':
## 
##     collapse
## Cargando paquete requerido: lattice
## Cargando paquete requerido: grid
## Cargando paquete requerido: mosaic
## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2
## 
## The 'mosaic' package masks several functions from core packages in order to add 
## additional features.  The original behavior of these functions should not be affected by this.
## 
## Adjuntando el paquete: 'mosaic'
## The following object is masked from 'package:Matrix':
## 
##     mean
## The following object is masked from 'package:ggplot2':
## 
##     stat
## The following objects are masked from 'package:dplyr':
## 
##     count, do, tally
## The following objects are masked from 'package:stats':
## 
##     binom.test, cor, cor.test, cov, fivenum, IQR, median, prop.test,
##     quantile, sd, t.test, var
## The following objects are masked from 'package:base':
## 
##     max, mean, min, prod, range, sample, sum
## Welcome to tigerstats!
## To learn more about this package, consult its website:
##  http://homerhanumat.github.io/tigerstats
library(BSDA)
## 
## Adjuntando el paquete: 'BSDA'
## The following object is masked from 'package:mosaic':
## 
##     CIsim
## The following object is masked from 'package:mosaicData':
## 
##     Alcohol
## The following objects are masked from 'package:nlme':
## 
##     Gasoline, Wheat
## The following object is masked from 'package:datasets':
## 
##     Orange
library(estadistica)
## Warning: package 'estadistica' was built under R version 4.4.3
## Este paquete estĆ” en desarrollo. Por favor, si detectas errores  o quieres hacernos alguna sugerencia, puedes ponerte en contacto con nosotros en:
## estadistic@uv.es
## TambiƩn puedes seguirnos en el canal de youtube:
## https://go.uv.es/estadistic/youtube
##########################################
# 2. Cargar y preparar la base de datos
##########################################
insurance <- read_csv("insurance.csv")
## Rows: 1338 Columns: 7
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (3): sex, smoker, region
## dbl (4): age, bmi, children, charges
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
insurance <- as.data.frame(unclass(insurance),
                           stringsAsFactors = TRUE)
str(insurance)
## 'data.frame':    1338 obs. of  7 variables:
##  $ age     : num  19 18 28 33 32 31 46 37 37 60 ...
##  $ sex     : Factor w/ 2 levels "female","male": 1 2 2 2 2 1 1 1 2 1 ...
##  $ bmi     : num  27.9 33.8 33 22.7 28.9 ...
##  $ children: num  0 1 3 0 0 0 1 3 2 0 ...
##  $ smoker  : Factor w/ 2 levels "no","yes": 2 1 1 1 1 1 1 1 1 1 ...
##  $ region  : Factor w/ 4 levels "northeast","northwest",..: 4 3 3 2 2 3 3 2 1 2 ...
##  $ charges : num  16885 1726 4449 21984 3867 ...
dim(insurance)
## [1] 1338    7
names(insurance)
## [1] "age"      "sex"      "bmi"      "children" "smoker"   "region"   "charges"
View(insurance)
##########################################
# 3. Limpieza de datos
##########################################
insurance <- insurance %>% distinct()
colSums(is.na(insurance))
##      age      sex      bmi children   smoker   region  charges 
##        0        0        0        0        0        0        0
summary(insurance)
##       age            sex           bmi           children     smoker    
##  Min.   :18.00   female:662   Min.   :15.96   Min.   :0.000   no :1063  
##  1st Qu.:27.00   male  :675   1st Qu.:26.29   1st Qu.:0.000   yes: 274  
##  Median :39.00                Median :30.40   Median :1.000             
##  Mean   :39.22                Mean   :30.66   Mean   :1.096             
##  3rd Qu.:51.00                3rd Qu.:34.70   3rd Qu.:2.000             
##  Max.   :64.00                Max.   :53.13   Max.   :5.000             
##        region       charges     
##  northeast:324   Min.   : 1122  
##  northwest:324   1st Qu.: 4746  
##  southeast:364   Median : 9386  
##  southwest:325   Mean   :13279  
##                  3rd Qu.:16658  
##                  Max.   :63770
unique(insurance$sex)
## [1] female male  
## Levels: female male
unique(insurance$smoker)
## [1] yes no 
## Levels: no yes
unique(insurance$region)
## [1] southwest southeast northwest northeast
## Levels: northeast northwest southeast southwest
age_sex <- insurance %>% arrange(age, sex)

##########################################
# 4. Enriquecer la base con nuevas variables
##########################################
insurance <- insurance %>%
  mutate(
    grupo_edad = case_when(
      age < 25 ~ "Joven",
      age < 45 ~ "Adulto joven",
      age < 65 ~ "Adulto maduro",
      TRUE ~ "Mayor"
    ),
    es_familia = ifelse(children > 0, "SĆ­", "No")
  )

##########################################
# 5. Merge externo: bonificaciones por región
##########################################
bonificaciones <- data.frame(
  zona = c("southwest", "southeast", "northwest", "northeast"),
  bonificacion = c(100, 200, 150, 250)
)
View(bonificaciones)

insurance <- merge(insurance, 
                   bonificaciones, 
                   by.x = "region", 
                   by.y = "zona", all.x = TRUE)

##########################################
# 6. Visualización exploratoria
##########################################
# Histogramas, boxplots, relaciones y facetas

# Heatmap promedio
resumen_heatmap <- insurance %>%
  group_by(region, smoker) %>%
  summarise(promedio_charges = mean(charges)) %>%
  ungroup()
## `summarise()` has grouped output by 'region'. You can override using the
## `.groups` argument.
print(resumen_heatmap)
## # A tibble: 8 Ɨ 3
##   region    smoker promedio_charges
##   <fct>     <fct>             <dbl>
## 1 northeast no                9166.
## 2 northeast yes              29674.
## 3 northwest no                8582.
## 4 northwest yes              30192.
## 5 southeast no                8032.
## 6 southeast yes              34845.
## 7 southwest no                8019.
## 8 southwest yes              32269.
ggplot(resumen_heatmap, aes(x = region,
                            y = smoker,
                            fill = promedio_charges)) +
  geom_tile(color = "white") +
  geom_text(aes(label = round(promedio_charges, 0)), size = 4) +
  scale_fill_gradient(low = "lightblue", high = "darkred") +
  labs(title = "Promedio de cargos por región y fumador", 
       fill = "Promedio") +
  theme_minimal()

##########################################
# 7. EstadĆ­sticas descriptivas adicionales
##########################################
insurance %>% 
  summarise(media_bmi = mean(bmi), sd_bmi = sd(bmi),
            mediana_bmi=median(bmi), moda_bmi=moda(bmi))
##   media_bmi   sd_bmi mediana_bmi variable.x
## 1  30.66345 6.100468        30.4       32.3
insurance %>% 
  group_by(children) %>% 
  summarise(media_bmi = mean(bmi),
            sd_bmi = sd(bmi))
## # A tibble: 6 Ɨ 3
##   children media_bmi sd_bmi
##      <dbl>     <dbl>  <dbl>
## 1        0      30.6   6.04
## 2        1      30.6   6.10
## 3        2      31.0   6.51
## 4        3      30.7   5.79
## 5        4      31.4   4.63
## 6        5      29.6   7.14
insurance %>% 
  group_by(children, smoker) %>% 
  summarise(media_bmi = mean(bmi),
            sd_bmi = sd(bmi))
## `summarise()` has grouped output by 'children'. You can override using the
## `.groups` argument.
## # A tibble: 12 Ɨ 4
## # Groups:   children [6]
##    children smoker media_bmi sd_bmi
##       <dbl> <fct>      <dbl>  <dbl>
##  1        0 no          30.6   6.10
##  2        0 yes         30.5   5.83
##  3        1 no          30.6   6.10
##  4        1 yes         30.9   6.14
##  5        2 no          30.9   6.09
##  6        2 yes         31.3   7.82
##  7        3 no          30.7   5.83
##  8        3 yes         30.5   5.72
##  9        4 no          31.7   4.69
## 10        4 yes         29.3   4.32
## 11        5 no          30.3   6.76
## 12        5 yes         18.3  NA
##########################################
# 8. Exploración rÔpida
##########################################
glimpse(insurance)
## Rows: 1,337
## Columns: 10
## $ region       <fct> northeast, northeast, northeast, northeast, northeast, no…
## $ age          <dbl> 49, 60, 40, 63, 25, 44, 18, 56, 20, 22, 61, 20, 37, 38, 2…
## $ sex          <fct> male, female, female, male, male, male, male, female, mal…
## $ bmi          <dbl> 25.840, 36.005, 25.460, 36.765, 30.590, 21.850, 25.175, 2…
## $ children     <dbl> 1, 0, 1, 0, 0, 3, 0, 0, 0, 2, 0, 0, 2, 1, 0, 3, 0, 0, 0, …
## $ smoker       <fct> no, no, no, no, no, no, yes, no, no, no, no, no, no, no, …
## $ charges      <dbl> 9282.481, 13228.847, 7077.189, 13981.850, 2727.395, 8891.…
## $ grupo_edad   <chr> "Adulto maduro", "Adulto maduro", "Adulto joven", "Adulto…
## $ es_familia   <chr> "SĆ­", "No", "SĆ­", "No", "No", "SĆ­", "No", "No", "No", "Sí…
## $ bonificacion <dbl> 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 25…
insurance %>% select(children, age)
##      children age
## 1           1  49
## 2           0  60
## 3           1  40
## 4           0  63
## 5           0  25
## 6           3  44
## 7           0  18
## 8           0  56
## 9           0  20
## 10          2  22
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## 13          2  37
## 14          1  38
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## 16          3  52
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## 18          0  52
## 19          0  28
## 20          1  38
## 21          3  53
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insurance %>% 
  select(region, smoker, bmi) %>% 
  glimpse()
## Rows: 1,337
## Columns: 3
## $ region <fct> northeast, northeast, northeast, northeast, northeast, northeas…
## $ smoker <fct> no, no, no, no, no, no, yes, no, no, no, no, no, no, no, yes, y…
## $ bmi    <dbl> 25.840, 36.005, 25.460, 36.765, 30.590, 21.850, 25.175, 28.595,…
insurance %>% 
  top_n(10, bmi) %>% 
  arrange(desc(bmi))
##       region age    sex   bmi children smoker   charges    grupo_edad
## 1  southeast  18   male 53.13        0     no  1163.463         Joven
## 2  southeast  22   male 52.58        1    yes 44501.398         Joven
## 3  southeast  23   male 50.38        1     no  2438.055         Joven
## 4  southeast  58   male 49.06        0     no 11381.325 Adulto maduro
## 5  northeast  46 female 48.07        2     no  9432.925 Adulto maduro
## 6  southeast  52   male 47.74        1     no  9748.911 Adulto maduro
## 7  southwest  37 female 47.60        2    yes 46113.511  Adulto joven
## 8  southeast  47   male 47.52        1     no  8083.920 Adulto maduro
## 9  southeast  54 female 47.41        0    yes 63770.428 Adulto maduro
## 10 southeast  52 female 46.75        5     no 12592.534 Adulto maduro
##    es_familia bonificacion
## 1          No          200
## 2          SĆ­          200
## 3          SĆ­          200
## 4          No          200
## 5          SĆ­          250
## 6          SĆ­          200
## 7          SĆ­          100
## 8          SĆ­          200
## 9          No          200
## 10         SĆ­          200
insurance %>% 
  filter(region == "southeast")
##        region age    sex   bmi children smoker   charges    grupo_edad
## 1   southeast  63   male 35.09        0    yes 47055.532 Adulto maduro
## 2   southeast  47 female 27.83        0    yes 23065.421 Adulto maduro
## 3   southeast  18 female 24.09        1     no  2201.097         Joven
## 4   southeast  53   male 20.90        0    yes 21195.818 Adulto maduro
## 5   southeast  41 female 31.02        0     no  6185.321  Adulto joven
## 6   southeast  33   male 35.75        1    yes 38282.749  Adulto joven
## 7   southeast  59 female 27.72        3     no 14001.134 Adulto maduro
## 8   southeast  25 female 42.13        1     no  3238.436  Adulto joven
## 9   southeast  19   male 44.88        0    yes 39722.746         Joven
## 10  southeast  33   male 33.44        5     no  6653.789  Adulto joven
## 11  southeast  48 female 32.23        1     no  8871.152 Adulto maduro
## 12  southeast  58 female 41.91        0     no 24227.337 Adulto maduro
## 13  southeast  59 female 36.52        1     no 28287.898 Adulto maduro
## 14  southeast  58 female 39.05        0     no 11856.412 Adulto maduro
## 15  southeast  58 female 22.77        0     no 11833.782 Adulto maduro
## 16  southeast  18   male 29.37        1     no  1719.436         Joven
## 17  southeast  25   male 33.66        4     no  4504.662  Adulto joven
## 18  southeast  18 female 32.12        2     no  2801.259         Joven
## 19  southeast  56 female 39.82        0     no 11090.718 Adulto maduro
## 20  southeast  37 female 38.39        0    yes 40419.019  Adulto joven
## 21  southeast  43 female 46.20        0    yes 45863.205  Adulto joven
## 22  southeast  47 female 36.63        1    yes 42969.853 Adulto maduro
## 23  southeast  18   male 34.10        0     no  1137.011         Joven
## 24  southeast  22   male 26.84        0     no  1665.000         Joven
## 25  southeast  30   male 44.22        2     no  4266.166  Adulto joven
## 26  southeast  55 female 30.14        2     no 11881.970 Adulto maduro
## 27  southeast  34 female 26.73        1     no  5002.783  Adulto joven
## 28  southeast  36 female 29.92        1     no  5478.037  Adulto joven
## 29  southeast  48 female 31.13        0     no  8280.623 Adulto maduro
## 30  southeast  50   male 37.07        1     no  9048.027 Adulto maduro
## 31  southeast  34   male 25.30        2    yes 18972.495  Adulto joven
## 32  southeast  24   male 35.86        0     no  1986.933         Joven
## 33  southeast  30   male 31.57        3     no  4837.582  Adulto joven
## 34  southeast  39   male 32.34        2     no  6338.076  Adulto joven
## 35  southeast  33   male 35.75        2     no  4889.999  Adulto joven
## 36  southeast  37   male 36.19        0     no 19214.706  Adulto joven
## 37  southeast  51 female 34.10        0     no  9283.562 Adulto maduro
## 38  southeast  18 female 36.85        0    yes 36149.484         Joven
## 39  southeast  41   male 40.26        0     no  5709.164  Adulto joven
## 40  southeast  28   male 38.06        0     no  2689.495  Adulto joven
## 41  southeast  43   male 38.06        2    yes 42560.430  Adulto joven
## 42  southeast  55   male 38.28        0     no 10226.284 Adulto maduro
## 43  southeast  18 female 38.28        0     no  1631.821         Joven
## 44  southeast  56 female 37.51        2     no 12265.507 Adulto maduro
## 45  southeast  28 female 33.00        2     no  4349.462  Adulto joven
## 46  southeast  21 female 39.49        0     no  2026.974         Joven
## 47  southeast  61 female 29.92        3    yes 30942.192 Adulto maduro
## 48  southeast  18   male 23.21        0     no  1121.874         Joven
## 49  southeast  49 female 27.17        0     no  8601.329 Adulto maduro
## 50  southeast  20   male 33.33        0     no  1391.529         Joven
## 51  southeast  46 female 28.05        1     no  8233.097 Adulto maduro
## 52  southeast  27   male 42.13        0    yes 39611.758  Adulto joven
## 53  southeast  61   male 31.57        0     no 12557.605 Adulto maduro
## 54  southeast  22   male 33.77        0     no  1674.632         Joven
## 55  southeast  53 female 39.60        1     no 10579.711 Adulto maduro
## 56  southeast  29   male 37.29        2     no  4058.116  Adulto joven
## 57  southeast  51   male 33.33        3     no 10560.492 Adulto maduro
## 58  southeast  40   male 24.97        2     no  6593.508  Adulto joven
## 59  southeast  49 female 41.47        4     no 10977.206 Adulto maduro
## 60  southeast  59   male 31.79        2     no 12928.791 Adulto maduro
## 61  southeast  42   male 24.86        0     no  5966.887  Adulto joven
## 62  southeast  22 female 28.82        0     no  2156.752         Joven
## 63  southeast  46   male 42.35        3    yes 46151.124 Adulto maduro
## 64  southeast  25   male 33.33        2    yes 36124.574  Adulto joven
## 65  southeast  29 female 35.53        0     no  3366.670  Adulto joven
## 66  southeast  51 female 37.73        1     no  9877.608 Adulto maduro
## 67  southeast  38   male 21.12        3     no  6652.529  Adulto joven
## 68  southeast  53 female 22.88        1    yes 23244.790 Adulto maduro
## 69  southeast  62   male 31.46        1     no 27000.985 Adulto maduro
## 70  southeast  43 female 32.56        3    yes 40941.285  Adulto joven
## 71  southeast  37   male 37.07        1    yes 39871.704  Adulto joven
## 72  southeast  20 female 33.00        0     no  1880.070         Joven
## 73  southeast  48 female 33.11        0    yes 40974.165 Adulto maduro
## 74  southeast  22   male 52.58        1    yes 44501.398         Joven
## 75  southeast  38   male 28.27        1     no  5484.467  Adulto joven
## 76  southeast  51 female 21.56        1     no  9855.131 Adulto maduro
## 77  southeast  30   male 35.53        0    yes 36950.257  Adulto joven
## 78  southeast  18   male 30.14        0     no  1131.507         Joven
## 79  southeast  61 female 33.33        4     no 36580.282 Adulto maduro
## 80  southeast  42 female 40.37        2    yes 43896.376  Adulto joven
## 81  southeast  27 female 24.75        0    yes 16577.780  Adulto joven
## 82  southeast  42 female 29.48        2     no  7640.309  Adulto joven
## 83  southeast  46   male 26.62        1     no  7742.110 Adulto maduro
## 84  southeast  60 female 38.06        0     no 12648.703 Adulto maduro
## 85  southeast  33   male 42.46        1     no 11326.715  Adulto joven
## 86  southeast  45 female 27.83        2     no  8515.759 Adulto maduro
## 87  southeast  59   male 29.70        2     no 12925.886 Adulto maduro
## 88  southeast  60 female 24.53        0     no 12629.897 Adulto maduro
## 89  southeast  59   male 41.14        1    yes 48970.248 Adulto maduro
## 90  southeast  22 female 31.02        3    yes 35595.590         Joven
## 91  southeast  18 female 31.13        0     no  1621.883         Joven
## 92  southeast  44 female 23.98        2     no  8211.100  Adulto joven
## 93  southeast  18 female 33.88        0     no 11482.635         Joven
## 94  southeast  44 female 38.06        0    yes 48885.136  Adulto joven
## 95  southeast  47 female 29.37        1     no  8547.691 Adulto maduro
## 96  southeast  18   male 31.68        2    yes 34303.167         Joven
## 97  southeast  61   male 35.86        0    yes 46599.108 Adulto maduro
## 98  southeast  52   male 26.40        3     no 25992.821 Adulto maduro
## 99  southeast  45 female 36.30        2     no  8527.532 Adulto maduro
## 100 southeast  62 female 29.92        0     no 13457.961 Adulto maduro
## 101 southeast  45   male 24.31        5     no  9788.866 Adulto maduro
## 102 southeast  40 female 29.81        1     no  6500.236  Adulto joven
## 103 southeast  44   male 30.69        2     no  7731.427  Adulto joven
## 104 southeast  30 female 33.33        1     no  4151.029  Adulto joven
## 105 southeast  26 female 29.92        2     no  3981.977  Adulto joven
## 106 southeast  44 female 43.89        2    yes 46200.985  Adulto joven
## 107 southeast  64   male 36.96        2    yes 49577.662 Adulto maduro
## 108 southeast  26 female 29.92        1     no  3392.977  Adulto joven
## 109 southeast  43   male 35.97        3    yes 42124.515  Adulto joven
## 110 southeast  18   male 38.17        0    yes 36307.798         Joven
## 111 southeast  55   male 33.00        0     no 20781.489 Adulto maduro
## 112 southeast  35   male 27.61        1     no  4747.053  Adulto joven
## 113 southeast  32 female 44.22        0     no  3994.178  Adulto joven
## 114 southeast  48   male 24.42        0    yes 21223.676 Adulto maduro
## 115 southeast  18 female 20.79        0     no  1607.510         Joven
## 116 southeast  45 female 28.60        2     no  8516.829 Adulto maduro
## 117 southeast  50   male 44.77        1     no  9058.730 Adulto maduro
## 118 southeast  18   male 43.01        0     no  1149.396         Joven
## 119 southeast  43   male 20.13        2    yes 18767.738  Adulto joven
## 120 southeast  26   male 46.53        1     no  2927.065  Adulto joven
## 121 southeast  59 female 27.83        3     no 14001.287 Adulto maduro
## 122 southeast  47   male 38.94        2    yes 44202.654 Adulto maduro
## 123 southeast  32   male 37.18        2     no  4673.392  Adulto joven
## 124 southeast  37 female 30.80        2     no  6313.759  Adulto joven
## 125 southeast  46 female 33.44        1     no  8240.590 Adulto maduro
## 126 southeast  20 female 31.46        0     no  1877.929         Joven
## 127 southeast  30 female 43.12        2     no  4753.637  Adulto joven
## 128 southeast  24   male 32.01        0     no  1981.582         Joven
## 129 southeast  25   male 45.54        2    yes 42112.236  Adulto joven
## 130 southeast  32   male 46.53        2     no  4686.389  Adulto joven
## 131 southeast  23 female 39.27        2     no  3500.612         Joven
## 132 southeast  37   male 46.53        3     no  6435.624  Adulto joven
## 133 southeast  24   male 40.15        0    yes 38126.247         Joven
## 134 southeast  54   male 21.01        2     no 11013.712 Adulto maduro
## 135 southeast  18   male 37.29        0     no  1141.445         Joven
## 136 southeast  46 female 27.72        1     no  8232.639 Adulto maduro
## 137 southeast  32 female 23.65        1     no 17626.240  Adulto joven
## 138 southeast  54 female 47.41        0    yes 63770.428 Adulto maduro
## 139 southeast  24 female 23.21        0     no 25081.768         Joven
## 140 southeast  20 female 26.84        1    yes 17085.268         Joven
## 141 southeast  30 female 28.38        1    yes 19521.968  Adulto joven
## 142 southeast  34 female 29.26        3     no  6184.299  Adulto joven
## 143 southeast  42   male 24.64        0    yes 19515.542  Adulto joven
## 144 southeast  41   male 33.55        0     no  5699.837  Adulto joven
## 145 southeast  31   male 39.49        1     no  3875.734  Adulto joven
## 146 southeast  20   male 31.13        2     no  2566.471         Joven
## 147 southeast  28   male 31.68        0    yes 34672.147  Adulto joven
## 148 southeast  40 female 36.19        0     no  5920.104  Adulto joven
## 149 southeast  18   male 21.78        2     no 11884.049         Joven
## 150 southeast  60   male 33.11        3     no 13919.823 Adulto maduro
## 151 southeast  20   male 35.31        1     no 27724.289         Joven
## 152 southeast  40 female 22.22        2    yes 19444.266  Adulto joven
## 153 southeast  29 female 29.59        1     no  3947.413  Adulto joven
## 154 southeast  23   male 32.56        0     no  1824.285         Joven
## 155 southeast  18 female 38.17        0     no  1631.668         Joven
## 156 southeast  58   male 49.06        0     no 11381.325 Adulto maduro
## 157 southeast  29 female 27.94        1    yes 19107.780  Adulto joven
## 158 southeast  18 female 31.35        0     no  1622.188         Joven
## 159 southeast  41   male 34.21        1     no  6289.755  Adulto joven
## 160 southeast  39   male 34.10        2     no 23563.016  Adulto joven
## 161 southeast  21 female 21.89        2     no  3180.510         Joven
## 162 southeast  22   male 37.62        1    yes 37165.164         Joven
## 163 southeast  28   male 33.00        3     no  4449.462  Adulto joven
## 164 southeast  26   male 35.42        0     no  2322.622  Adulto joven
## 165 southeast  32   male 30.03        1     no  4074.454  Adulto joven
## 166 southeast  31 female 25.74        0     no  3756.622  Adulto joven
## 167 southeast  25 female 33.99        1     no  3227.121  Adulto joven
## 168 southeast  59 female 35.20        0     no 12244.531 Adulto maduro
## 169 southeast  41   male 35.75        1    yes 40273.645  Adulto joven
## 170 southeast  29   male 38.94        1     no  3471.410  Adulto joven
## 171 southeast  54   male 34.21        2    yes 44260.750 Adulto maduro
## 172 southeast  23 female 28.49        1    yes 18328.238         Joven
## 173 southeast  27   male 29.15        0    yes 18246.496  Adulto joven
## 174 southeast  45   male 20.35        3     no  8605.362 Adulto maduro
## 175 southeast  40 female 33.00        3     no  7682.670  Adulto joven
## 176 southeast  38 female 40.15        0     no  5400.980  Adulto joven
## 177 southeast  56   male 34.43        0     no 10594.226 Adulto maduro
## 178 southeast  63 female 36.30        0     no 13887.204 Adulto maduro
## 179 southeast  19   male 30.25        0    yes 32548.340         Joven
## 180 southeast  43   male 25.52        5     no 14478.330  Adulto joven
## 181 southeast  35 female 43.34        2     no  5846.918  Adulto joven
## 182 southeast  53 female 38.06        3     no 20462.998 Adulto maduro
## 183 southeast  37 female 26.40        0    yes 19539.243  Adulto joven
## 184 southeast  55   male 32.67        1     no 10807.486 Adulto maduro
## 185 southeast  29 female 38.83        3     no  5138.257  Adulto joven
## 186 southeast  36   male 29.70        0     no  4399.731  Adulto joven
## 187 southeast  63 female 36.85        0     no 13887.969 Adulto maduro
## 188 southeast  29   male 27.94        0     no  2867.120  Adulto joven
## 189 southeast  46   male 38.17        2     no  8347.164 Adulto maduro
## 190 southeast  35 female 34.21        1     no  5245.227  Adulto joven
## 191 southeast  28 female 33.11        0     no  3171.615  Adulto joven
## 192 southeast  51   male 30.03        1     no  9377.905 Adulto maduro
## 193 southeast  23 female 32.78        2    yes 36021.011         Joven
## 194 southeast  18 female 39.82        0     no  1633.962         Joven
## 195 southeast  23   male 26.51        0     no  1815.876         Joven
## 196 southeast  32   male 28.93        1    yes 19719.695  Adulto joven
## 197 southeast  18 female 42.24        0    yes 38792.686         Joven
## 198 southeast  43   male 35.31        2     no 18806.145  Adulto joven
## 199 southeast  50 female 28.16        3     no 10702.642 Adulto maduro
## 200 southeast  42   male 26.07        1    yes 38245.593  Adulto joven
## 201 southeast  38 female 37.73        0     no  5397.617  Adulto joven
## 202 southeast  18   male 33.77        1     no  1725.552         Joven
## 203 southeast  41   male 21.78        1     no  6272.477  Adulto joven
## 204 southeast  33 female 24.31        0     no  4185.098  Adulto joven
## 205 southeast  49 female 42.68        2     no  9800.888 Adulto maduro
## 206 southeast  18 female 37.29        1     no  2219.445         Joven
## 207 southeast  33   male 30.25        0     no  3704.354  Adulto joven
## 208 southeast  31   male 29.81        0    yes 19350.369  Adulto joven
## 209 southeast  18 female 40.26        0     no  1634.573         Joven
## 210 southeast  36   male 35.20        1    yes 38709.176  Adulto joven
## 211 southeast  35   male 34.32        3     no  5934.380  Adulto joven
## 212 southeast  60   male 40.92        0    yes 48673.559 Adulto maduro
## 213 southeast  52   male 34.10        0     no  9140.951 Adulto maduro
## 214 southeast  28 female 37.62        1     no  3766.884  Adulto joven
## 215 southeast  47   male 25.41        1    yes 21978.677 Adulto maduro
## 216 southeast  18   male 33.66        0     no  1136.399         Joven
## 217 southeast  20 female 31.79        2     no  3056.388         Joven
## 218 southeast  49 female 36.63        3     no 10381.479 Adulto maduro
## 219 southeast  44 female 32.34        1     no  7633.721  Adulto joven
## 220 southeast  54 female 31.90        1     no 10928.849 Adulto maduro
## 221 southeast  26   male 27.06        0    yes 17043.341  Adulto joven
## 222 southeast  51   male 42.90        2    yes 47462.894 Adulto maduro
## 223 southeast  39 female 41.80        0     no  5662.225  Adulto joven
## 224 southeast  18   male 35.20        1     no  1727.540         Joven
## 225 southeast  55   male 33.88        3     no 11987.168 Adulto maduro
## 226 southeast  32 female 29.59        1     no  4562.842  Adulto joven
## 227 southeast  32 female 28.93        0     no  3972.925  Adulto joven
## 228 southeast  27   male 33.66        0     no  2498.414  Adulto joven
## 229 southeast  62   male 38.83        0     no 12981.346 Adulto maduro
## 230 southeast  52   male 41.80        2    yes 47269.854 Adulto maduro
## 231 southeast  28   male 23.98        3    yes 17663.144  Adulto joven
## 232 southeast  48   male 29.70        0     no  7789.635 Adulto maduro
## 233 southeast  56   male 33.66        4     no 12949.155 Adulto maduro
## 234 southeast  18   male 34.43        0     no  1137.470         Joven
## 235 southeast  21   male 31.02        0     no 16586.498         Joven
## 236 southeast  44   male 34.32        1     no  7147.473  Adulto joven
## 237 southeast  31   male 38.39        2     no  4463.205  Adulto joven
## 238 southeast  21   male 35.53        0     no  1532.470         Joven
## 239 southeast  62 female 39.16        0     no 13470.804 Adulto maduro
## 240 southeast  21   male 23.21        0     no  1515.345         Joven
## 241 southeast  40   male 41.69        0     no  5438.749  Adulto joven
## 242 southeast  31 female 36.63        2     no  4949.759  Adulto joven
## 243 southeast  27 female 36.08        0    yes 37133.898  Adulto joven
## 244 southeast  27   male 31.13        1    yes 34806.468  Adulto joven
## 245 southeast  35   male 24.42        3    yes 19361.999  Adulto joven
## 246 southeast  27 female 23.21        1     no  3561.889  Adulto joven
## 247 southeast  45   male 30.36        0    yes 62592.873 Adulto maduro
## 248 southeast  61 female 25.08        0     no 24513.091 Adulto maduro
## 249 southeast  18   male 26.18        2     no  2304.002         Joven
## 250 southeast  36 female 29.92        0     no  4889.037  Adulto joven
## 251 southeast  57   male 27.94        1     no 11554.224 Adulto maduro
## 252 southeast  50 female 46.09        1     no  9549.565 Adulto maduro
## 253 southeast  24 female 27.72        0     no  2464.619         Joven
## 254 southeast  42   male 37.18        2     no  7162.012  Adulto joven
## 255 southeast  53   male 41.47        0     no  9504.310 Adulto maduro
## 256 southeast  48   male 37.29        2     no  8978.185 Adulto maduro
## 257 southeast  27   male 23.10        0     no  2483.736  Adulto joven
## 258 southeast  53   male 31.35        0     no 27346.042 Adulto maduro
## 259 southeast  51 female 38.06        0    yes 44400.406 Adulto maduro
## 260 southeast  54 female 31.90        3     no 27322.734 Adulto maduro
## 261 southeast  38   male 38.39        3    yes 41949.244  Adulto joven
## 262 southeast  38 female 28.93        1     no  5974.385  Adulto joven
## 263 southeast  26 female 29.48        1     no  3392.365  Adulto joven
## 264 southeast  48 female 25.85        3    yes 24180.933 Adulto maduro
## 265 southeast  64 female 39.05        3     no 16085.128 Adulto maduro
## 266 southeast  40   male 19.80        1    yes 17179.522  Adulto joven
## 267 southeast  18   male 53.13        0     no  1163.463         Joven
## 268 southeast  27   male 32.67        0     no  2497.038  Adulto joven
## 269 southeast  48 female 33.33        0     no  8283.681 Adulto maduro
## 270 southeast  63   male 33.66        3     no 15161.534 Adulto maduro
## 271 southeast  55 female 40.81        3     no 12485.801 Adulto maduro
## 272 southeast  42 female 26.18        1     no  7046.722  Adulto joven
## 273 southeast  18 female 38.28        0     no 14133.038         Joven
## 274 southeast  63 female 35.20        1     no 14474.675 Adulto maduro
## 275 southeast  21   male 36.85        0     no  1534.304         Joven
## 276 southeast  57 female 29.81        0    yes 27533.913 Adulto maduro
## 277 southeast  35 female 35.86        2     no  5836.520  Adulto joven
## 278 southeast  25 female 32.23        1     no 18218.161  Adulto joven
## 279 southeast  44   male 38.06        1     no  7152.671  Adulto joven
## 280 southeast  39 female 34.32        5     no  8596.828  Adulto joven
## 281 southeast  50 female 27.83        3     no 19749.383 Adulto maduro
## 282 southeast  18 female 36.85        0     no  1629.833         Joven
## 283 southeast  41 female 36.08        1     no  6781.354  Adulto joven
## 284 southeast  40   male 25.08        0     no  5415.661  Adulto joven
## 285 southeast  57 female 23.98        1     no 22192.437 Adulto maduro
## 286 southeast  64 female 22.99        0    yes 27037.914 Adulto maduro
## 287 southeast  48   male 40.15        0     no  7804.160 Adulto maduro
## 288 southeast  57   male 42.13        1    yes 48675.518 Adulto maduro
## 289 southeast  26   male 29.15        1     no  2902.907  Adulto joven
## 290 southeast  52 female 25.30        2    yes 24667.419 Adulto maduro
## 291 southeast  52 female 46.75        5     no 12592.534 Adulto maduro
## 292 southeast  20 female 24.42        0    yes 26125.675         Joven
## 293 southeast  62 female 26.29        0    yes 27808.725 Adulto maduro
## 294 southeast  19 female 33.11        0    yes 34439.856         Joven
## 295 southeast  54 female 31.24        0     no 10338.932 Adulto maduro
## 296 southeast  31 female 26.62        0     no  3757.845  Adulto joven
## 297 southeast  22 female 28.05        0     no  2155.682         Joven
## 298 southeast  42   male 35.97        2     no  7160.330  Adulto joven
## 299 southeast  18   male 30.03        1     no  1720.354         Joven
## 300 southeast  56   male 31.79        2    yes 43813.866 Adulto maduro
## 301 southeast  18   male 33.33        0     no  1135.941         Joven
## 302 southeast  55 female 35.20        0    yes 44423.803 Adulto maduro
## 303 southeast  33 female 28.27        1     no  4779.602  Adulto joven
## 304 southeast  24 female 39.49        0     no  2480.979         Joven
## 305 southeast  23   male 41.91        0     no  1837.282         Joven
## 306 southeast  50 female 23.54        2     no 10107.221 Adulto maduro
## 307 southeast  38 female 30.69        1     no  5976.831  Adulto joven
## 308 southeast  24 female 33.99        0     no  2473.334         Joven
## 309 southeast  54   male 30.80        1    yes 41999.520 Adulto maduro
## 310 southeast  34 female 27.72        0     no  4415.159  Adulto joven
## 311 southeast  36 female 29.04        4     no  7243.814  Adulto joven
## 312 southeast  62   male 39.93        0     no 12982.875 Adulto maduro
## 313 southeast  25   male 25.74        0     no  2137.654  Adulto joven
## 314 southeast  36   male 34.43        2     no  5584.306  Adulto joven
## 315 southeast  34   male 34.21        0     no  3935.180  Adulto joven
## 316 southeast  58   male 32.01        1     no 11946.626 Adulto maduro
## 317 southeast  18 female 39.16        0     no  1633.044         Joven
## 318 southeast  63   male 41.47        0     no 13405.390 Adulto maduro
## 319 southeast  52   male 47.74        1     no  9748.911 Adulto maduro
## 320 southeast  47   male 47.52        1     no  8083.920 Adulto maduro
## 321 southeast  47   male 36.19        0    yes 41676.081 Adulto maduro
## 322 southeast  56 female 41.91        0     no 11093.623 Adulto maduro
## 323 southeast  64   male 39.16        1     no 14418.280 Adulto maduro
## 324 southeast  31 female 29.26        1     no  4350.514  Adulto joven
## 325 southeast  44 female 29.81        2     no  8219.204  Adulto joven
## 326 southeast  39   male 45.43        2     no  6356.271  Adulto joven
## 327 southeast  64   male 33.88        0    yes 46889.261 Adulto maduro
## 328 southeast  45 female 31.79        0     no 17929.303 Adulto maduro
## 329 southeast  59   male 26.40        0     no 11743.299 Adulto maduro
## 330 southeast  49   male 35.86        0     no  8124.408 Adulto maduro
## 331 southeast  46   male 43.89        3     no  8944.115 Adulto maduro
## 332 southeast  64   male 40.48        0     no 13831.115 Adulto maduro
## 333 southeast  47   male 36.08        1    yes 42211.138 Adulto maduro
## 334 southeast  18   male 23.32        1     no  1711.027         Joven
## 335 southeast  49   male 36.85        0     no  8125.784 Adulto maduro
## 336 southeast  22   male 37.07        2    yes 37484.449         Joven
## 337 southeast  60   male 25.74        0     no 12142.579 Adulto maduro
## 338 southeast  33 female 39.82        1     no  4795.657  Adulto joven
## 339 southeast  34   male 42.13        2     no  5124.189  Adulto joven
## 340 southeast  51   male 35.97        1     no  9386.161 Adulto maduro
## 341 southeast  64 female 35.97        0     no 14313.846 Adulto maduro
## 342 southeast  51   male 23.21        1    yes 22218.115 Adulto maduro
## 343 southeast  30 female 39.05        3    yes 40932.429  Adulto joven
## 344 southeast  49   male 37.51        2     no  9304.702 Adulto maduro
## 345 southeast  57   male 40.37        0     no 10982.501 Adulto maduro
## 346 southeast  18 female 26.73        0     no  1615.767         Joven
## 347 southeast  30   male 38.83        1     no 18963.172  Adulto joven
## 348 southeast  36   male 34.43        0    yes 37742.576  Adulto joven
## 349 southeast  39 female 23.87        5     no  8582.302  Adulto joven
## 350 southeast  23   male 50.38        1     no  2438.055         Joven
## 351 southeast  53   male 29.48        0     no  9487.644 Adulto maduro
## 352 southeast  50   male 25.30        0     no  8442.667 Adulto maduro
## 353 southeast  21 female 34.87        0     no  2020.552         Joven
## 354 southeast  18   male 41.14        0     no  1146.797         Joven
## 355 southeast  57 female 25.74        2     no 12629.166 Adulto maduro
## 356 southeast  28 female 26.51        2     no  4340.441  Adulto joven
## 357 southeast  58   male 36.08        0     no 11363.283 Adulto maduro
## 358 southeast  43 female 35.64        1     no  7345.727  Adulto joven
## 359 southeast  52 female 24.86        0     no 27117.994 Adulto maduro
## 360 southeast  47 female 45.32        1     no  8569.862 Adulto maduro
## 361 southeast  64   male 23.76        0    yes 26926.514 Adulto maduro
## 362 southeast  41 female 28.05        1     no  6770.193  Adulto joven
## 363 southeast  60 female 32.45        0    yes 45008.955 Adulto maduro
## 364 southeast  18 female 27.28        3    yes 18223.451         Joven
##     es_familia bonificacion
## 1           No          200
## 2           No          200
## 3           SĆ­          200
## 4           No          200
## 5           No          200
## 6           SĆ­          200
## 7           SĆ­          200
## 8           SĆ­          200
## 9           No          200
## 10          SĆ­          200
## 11          SĆ­          200
## 12          No          200
## 13          SĆ­          200
## 14          No          200
## 15          No          200
## 16          SĆ­          200
## 17          SĆ­          200
## 18          SĆ­          200
## 19          No          200
## 20          No          200
## 21          No          200
## 22          SĆ­          200
## 23          No          200
## 24          No          200
## 25          SĆ­          200
## 26          SĆ­          200
## 27          SĆ­          200
## 28          SĆ­          200
## 29          No          200
## 30          SĆ­          200
## 31          SĆ­          200
## 32          No          200
## 33          SĆ­          200
## 34          SĆ­          200
## 35          SĆ­          200
## 36          No          200
## 37          No          200
## 38          No          200
## 39          No          200
## 40          No          200
## 41          SĆ­          200
## 42          No          200
## 43          No          200
## 44          SĆ­          200
## 45          SĆ­          200
## 46          No          200
## 47          SĆ­          200
## 48          No          200
## 49          No          200
## 50          No          200
## 51          SĆ­          200
## 52          No          200
## 53          No          200
## 54          No          200
## 55          SĆ­          200
## 56          SĆ­          200
## 57          SĆ­          200
## 58          SĆ­          200
## 59          SĆ­          200
## 60          SĆ­          200
## 61          No          200
## 62          No          200
## 63          SĆ­          200
## 64          SĆ­          200
## 65          No          200
## 66          SĆ­          200
## 67          SĆ­          200
## 68          SĆ­          200
## 69          SĆ­          200
## 70          SĆ­          200
## 71          SĆ­          200
## 72          No          200
## 73          No          200
## 74          SĆ­          200
## 75          SĆ­          200
## 76          SĆ­          200
## 77          No          200
## 78          No          200
## 79          SĆ­          200
## 80          SĆ­          200
## 81          No          200
## 82          SĆ­          200
## 83          SĆ­          200
## 84          No          200
## 85          SĆ­          200
## 86          SĆ­          200
## 87          SĆ­          200
## 88          No          200
## 89          SĆ­          200
## 90          SĆ­          200
## 91          No          200
## 92          SĆ­          200
## 93          No          200
## 94          No          200
## 95          SĆ­          200
## 96          SĆ­          200
## 97          No          200
## 98          SĆ­          200
## 99          SĆ­          200
## 100         No          200
## 101         SĆ­          200
## 102         SĆ­          200
## 103         SĆ­          200
## 104         SĆ­          200
## 105         SĆ­          200
## 106         SĆ­          200
## 107         SĆ­          200
## 108         SĆ­          200
## 109         SĆ­          200
## 110         No          200
## 111         No          200
## 112         SĆ­          200
## 113         No          200
## 114         No          200
## 115         No          200
## 116         SĆ­          200
## 117         SĆ­          200
## 118         No          200
## 119         SĆ­          200
## 120         SĆ­          200
## 121         SĆ­          200
## 122         SĆ­          200
## 123         SĆ­          200
## 124         SĆ­          200
## 125         SĆ­          200
## 126         No          200
## 127         SĆ­          200
## 128         No          200
## 129         SĆ­          200
## 130         SĆ­          200
## 131         SĆ­          200
## 132         SĆ­          200
## 133         No          200
## 134         SĆ­          200
## 135         No          200
## 136         SĆ­          200
## 137         SĆ­          200
## 138         No          200
## 139         No          200
## 140         SĆ­          200
## 141         SĆ­          200
## 142         SĆ­          200
## 143         No          200
## 144         No          200
## 145         SĆ­          200
## 146         SĆ­          200
## 147         No          200
## 148         No          200
## 149         SĆ­          200
## 150         SĆ­          200
## 151         SĆ­          200
## 152         SĆ­          200
## 153         SĆ­          200
## 154         No          200
## 155         No          200
## 156         No          200
## 157         SĆ­          200
## 158         No          200
## 159         SĆ­          200
## 160         SĆ­          200
## 161         SĆ­          200
## 162         SĆ­          200
## 163         SĆ­          200
## 164         No          200
## 165         SĆ­          200
## 166         No          200
## 167         SĆ­          200
## 168         No          200
## 169         SĆ­          200
## 170         SĆ­          200
## 171         SĆ­          200
## 172         SĆ­          200
## 173         No          200
## 174         SĆ­          200
## 175         SĆ­          200
## 176         No          200
## 177         No          200
## 178         No          200
## 179         No          200
## 180         SĆ­          200
## 181         SĆ­          200
## 182         SĆ­          200
## 183         No          200
## 184         SĆ­          200
## 185         SĆ­          200
## 186         No          200
## 187         No          200
## 188         No          200
## 189         SĆ­          200
## 190         SĆ­          200
## 191         No          200
## 192         SĆ­          200
## 193         SĆ­          200
## 194         No          200
## 195         No          200
## 196         SĆ­          200
## 197         No          200
## 198         SĆ­          200
## 199         SĆ­          200
## 200         SĆ­          200
## 201         No          200
## 202         SĆ­          200
## 203         SĆ­          200
## 204         No          200
## 205         SĆ­          200
## 206         SĆ­          200
## 207         No          200
## 208         No          200
## 209         No          200
## 210         SĆ­          200
## 211         SĆ­          200
## 212         No          200
## 213         No          200
## 214         SĆ­          200
## 215         SĆ­          200
## 216         No          200
## 217         SĆ­          200
## 218         SĆ­          200
## 219         SĆ­          200
## 220         SĆ­          200
## 221         No          200
## 222         SĆ­          200
## 223         No          200
## 224         SĆ­          200
## 225         SĆ­          200
## 226         SĆ­          200
## 227         No          200
## 228         No          200
## 229         No          200
## 230         SĆ­          200
## 231         SĆ­          200
## 232         No          200
## 233         SĆ­          200
## 234         No          200
## 235         No          200
## 236         SĆ­          200
## 237         SĆ­          200
## 238         No          200
## 239         No          200
## 240         No          200
## 241         No          200
## 242         SĆ­          200
## 243         No          200
## 244         SĆ­          200
## 245         SĆ­          200
## 246         SĆ­          200
## 247         No          200
## 248         No          200
## 249         SĆ­          200
## 250         No          200
## 251         SĆ­          200
## 252         SĆ­          200
## 253         No          200
## 254         SĆ­          200
## 255         No          200
## 256         SĆ­          200
## 257         No          200
## 258         No          200
## 259         No          200
## 260         SĆ­          200
## 261         SĆ­          200
## 262         SĆ­          200
## 263         SĆ­          200
## 264         SĆ­          200
## 265         SĆ­          200
## 266         SĆ­          200
## 267         No          200
## 268         No          200
## 269         No          200
## 270         SĆ­          200
## 271         SĆ­          200
## 272         SĆ­          200
## 273         No          200
## 274         SĆ­          200
## 275         No          200
## 276         No          200
## 277         SĆ­          200
## 278         SĆ­          200
## 279         SĆ­          200
## 280         SĆ­          200
## 281         SĆ­          200
## 282         No          200
## 283         SĆ­          200
## 284         No          200
## 285         SĆ­          200
## 286         No          200
## 287         No          200
## 288         SĆ­          200
## 289         SĆ­          200
## 290         SĆ­          200
## 291         SĆ­          200
## 292         No          200
## 293         No          200
## 294         No          200
## 295         No          200
## 296         No          200
## 297         No          200
## 298         SĆ­          200
## 299         SĆ­          200
## 300         SĆ­          200
## 301         No          200
## 302         No          200
## 303         SĆ­          200
## 304         No          200
## 305         No          200
## 306         SĆ­          200
## 307         SĆ­          200
## 308         No          200
## 309         SĆ­          200
## 310         No          200
## 311         SĆ­          200
## 312         No          200
## 313         No          200
## 314         SĆ­          200
## 315         No          200
## 316         SĆ­          200
## 317         No          200
## 318         No          200
## 319         SĆ­          200
## 320         SĆ­          200
## 321         No          200
## 322         No          200
## 323         SĆ­          200
## 324         SĆ­          200
## 325         SĆ­          200
## 326         SĆ­          200
## 327         No          200
## 328         No          200
## 329         No          200
## 330         No          200
## 331         SĆ­          200
## 332         No          200
## 333         SĆ­          200
## 334         SĆ­          200
## 335         No          200
## 336         SĆ­          200
## 337         No          200
## 338         SĆ­          200
## 339         SĆ­          200
## 340         SĆ­          200
## 341         No          200
## 342         SĆ­          200
## 343         SĆ­          200
## 344         SĆ­          200
## 345         No          200
## 346         No          200
## 347         SĆ­          200
## 348         No          200
## 349         SĆ­          200
## 350         SĆ­          200
## 351         No          200
## 352         No          200
## 353         No          200
## 354         No          200
## 355         SĆ­          200
## 356         SĆ­          200
## 357         No          200
## 358         SĆ­          200
## 359         No          200
## 360         SĆ­          200
## 361         No          200
## 362         SĆ­          200
## 363         No          200
## 364         SĆ­          200
insurance %>% 
  filter(region == "southeast", 
         sex == "male", age > 20 | bmi > 38)
##        region age  sex   bmi children smoker   charges    grupo_edad es_familia
## 1   southeast  63 male 35.09        0    yes 47055.532 Adulto maduro         No
## 2   southeast  53 male 20.90        0    yes 21195.818 Adulto maduro         No
## 3   southeast  33 male 35.75        1    yes 38282.749  Adulto joven         SĆ­
## 4   southeast  19 male 44.88        0    yes 39722.746         Joven         No
## 5   southeast  33 male 33.44        5     no  6653.789  Adulto joven         SĆ­
## 6   southeast  25 male 33.66        4     no  4504.662  Adulto joven         SĆ­
## 7   southeast  22 male 26.84        0     no  1665.000         Joven         No
## 8   southeast  30 male 44.22        2     no  4266.166  Adulto joven         SĆ­
## 9   southeast  50 male 37.07        1     no  9048.027 Adulto maduro         SĆ­
## 10  southeast  34 male 25.30        2    yes 18972.495  Adulto joven         SĆ­
## 11  southeast  24 male 35.86        0     no  1986.933         Joven         No
## 12  southeast  30 male 31.57        3     no  4837.582  Adulto joven         SĆ­
## 13  southeast  39 male 32.34        2     no  6338.076  Adulto joven         SĆ­
## 14  southeast  33 male 35.75        2     no  4889.999  Adulto joven         SĆ­
## 15  southeast  37 male 36.19        0     no 19214.706  Adulto joven         No
## 16  southeast  41 male 40.26        0     no  5709.164  Adulto joven         No
## 17  southeast  28 male 38.06        0     no  2689.495  Adulto joven         No
## 18  southeast  43 male 38.06        2    yes 42560.430  Adulto joven         SĆ­
## 19  southeast  55 male 38.28        0     no 10226.284 Adulto maduro         No
## 20  southeast  27 male 42.13        0    yes 39611.758  Adulto joven         No
## 21  southeast  61 male 31.57        0     no 12557.605 Adulto maduro         No
## 22  southeast  22 male 33.77        0     no  1674.632         Joven         No
## 23  southeast  29 male 37.29        2     no  4058.116  Adulto joven         SĆ­
## 24  southeast  51 male 33.33        3     no 10560.492 Adulto maduro         SĆ­
## 25  southeast  40 male 24.97        2     no  6593.508  Adulto joven         SĆ­
## 26  southeast  59 male 31.79        2     no 12928.791 Adulto maduro         SĆ­
## 27  southeast  42 male 24.86        0     no  5966.887  Adulto joven         No
## 28  southeast  46 male 42.35        3    yes 46151.124 Adulto maduro         SĆ­
## 29  southeast  25 male 33.33        2    yes 36124.574  Adulto joven         SĆ­
## 30  southeast  38 male 21.12        3     no  6652.529  Adulto joven         SĆ­
## 31  southeast  62 male 31.46        1     no 27000.985 Adulto maduro         SĆ­
## 32  southeast  37 male 37.07        1    yes 39871.704  Adulto joven         SĆ­
## 33  southeast  22 male 52.58        1    yes 44501.398         Joven         SĆ­
## 34  southeast  38 male 28.27        1     no  5484.467  Adulto joven         SĆ­
## 35  southeast  30 male 35.53        0    yes 36950.257  Adulto joven         No
## 36  southeast  46 male 26.62        1     no  7742.110 Adulto maduro         SĆ­
## 37  southeast  33 male 42.46        1     no 11326.715  Adulto joven         SĆ­
## 38  southeast  59 male 29.70        2     no 12925.886 Adulto maduro         SĆ­
## 39  southeast  59 male 41.14        1    yes 48970.248 Adulto maduro         SĆ­
## 40  southeast  61 male 35.86        0    yes 46599.108 Adulto maduro         No
## 41  southeast  52 male 26.40        3     no 25992.821 Adulto maduro         SĆ­
## 42  southeast  45 male 24.31        5     no  9788.866 Adulto maduro         SĆ­
## 43  southeast  44 male 30.69        2     no  7731.427  Adulto joven         SĆ­
## 44  southeast  64 male 36.96        2    yes 49577.662 Adulto maduro         SĆ­
## 45  southeast  43 male 35.97        3    yes 42124.515  Adulto joven         SĆ­
## 46  southeast  18 male 38.17        0    yes 36307.798         Joven         No
## 47  southeast  55 male 33.00        0     no 20781.489 Adulto maduro         No
## 48  southeast  35 male 27.61        1     no  4747.053  Adulto joven         SĆ­
## 49  southeast  48 male 24.42        0    yes 21223.676 Adulto maduro         No
## 50  southeast  50 male 44.77        1     no  9058.730 Adulto maduro         SĆ­
## 51  southeast  18 male 43.01        0     no  1149.396         Joven         No
## 52  southeast  43 male 20.13        2    yes 18767.738  Adulto joven         SĆ­
## 53  southeast  26 male 46.53        1     no  2927.065  Adulto joven         SĆ­
## 54  southeast  47 male 38.94        2    yes 44202.654 Adulto maduro         SĆ­
## 55  southeast  32 male 37.18        2     no  4673.392  Adulto joven         SĆ­
## 56  southeast  24 male 32.01        0     no  1981.582         Joven         No
## 57  southeast  25 male 45.54        2    yes 42112.236  Adulto joven         SĆ­
## 58  southeast  32 male 46.53        2     no  4686.389  Adulto joven         SĆ­
## 59  southeast  37 male 46.53        3     no  6435.624  Adulto joven         SĆ­
## 60  southeast  24 male 40.15        0    yes 38126.247         Joven         No
## 61  southeast  54 male 21.01        2     no 11013.712 Adulto maduro         SĆ­
## 62  southeast  42 male 24.64        0    yes 19515.542  Adulto joven         No
## 63  southeast  41 male 33.55        0     no  5699.837  Adulto joven         No
## 64  southeast  31 male 39.49        1     no  3875.734  Adulto joven         SĆ­
## 65  southeast  28 male 31.68        0    yes 34672.147  Adulto joven         No
## 66  southeast  60 male 33.11        3     no 13919.823 Adulto maduro         SĆ­
## 67  southeast  23 male 32.56        0     no  1824.285         Joven         No
## 68  southeast  58 male 49.06        0     no 11381.325 Adulto maduro         No
## 69  southeast  41 male 34.21        1     no  6289.755  Adulto joven         SĆ­
## 70  southeast  39 male 34.10        2     no 23563.016  Adulto joven         SĆ­
## 71  southeast  22 male 37.62        1    yes 37165.164         Joven         SĆ­
## 72  southeast  28 male 33.00        3     no  4449.462  Adulto joven         SĆ­
## 73  southeast  26 male 35.42        0     no  2322.622  Adulto joven         No
## 74  southeast  32 male 30.03        1     no  4074.454  Adulto joven         SĆ­
## 75  southeast  41 male 35.75        1    yes 40273.645  Adulto joven         SĆ­
## 76  southeast  29 male 38.94        1     no  3471.410  Adulto joven         SĆ­
## 77  southeast  54 male 34.21        2    yes 44260.750 Adulto maduro         SĆ­
## 78  southeast  27 male 29.15        0    yes 18246.496  Adulto joven         No
## 79  southeast  45 male 20.35        3     no  8605.362 Adulto maduro         SĆ­
## 80  southeast  56 male 34.43        0     no 10594.226 Adulto maduro         No
## 81  southeast  43 male 25.52        5     no 14478.330  Adulto joven         SĆ­
## 82  southeast  55 male 32.67        1     no 10807.486 Adulto maduro         SĆ­
## 83  southeast  36 male 29.70        0     no  4399.731  Adulto joven         No
## 84  southeast  29 male 27.94        0     no  2867.120  Adulto joven         No
## 85  southeast  46 male 38.17        2     no  8347.164 Adulto maduro         SĆ­
## 86  southeast  51 male 30.03        1     no  9377.905 Adulto maduro         SĆ­
## 87  southeast  23 male 26.51        0     no  1815.876         Joven         No
## 88  southeast  32 male 28.93        1    yes 19719.695  Adulto joven         SĆ­
## 89  southeast  43 male 35.31        2     no 18806.145  Adulto joven         SĆ­
## 90  southeast  42 male 26.07        1    yes 38245.593  Adulto joven         SĆ­
## 91  southeast  41 male 21.78        1     no  6272.477  Adulto joven         SĆ­
## 92  southeast  33 male 30.25        0     no  3704.354  Adulto joven         No
## 93  southeast  31 male 29.81        0    yes 19350.369  Adulto joven         No
## 94  southeast  36 male 35.20        1    yes 38709.176  Adulto joven         SĆ­
## 95  southeast  35 male 34.32        3     no  5934.380  Adulto joven         SĆ­
## 96  southeast  60 male 40.92        0    yes 48673.559 Adulto maduro         No
## 97  southeast  52 male 34.10        0     no  9140.951 Adulto maduro         No
## 98  southeast  47 male 25.41        1    yes 21978.677 Adulto maduro         SĆ­
## 99  southeast  26 male 27.06        0    yes 17043.341  Adulto joven         No
## 100 southeast  51 male 42.90        2    yes 47462.894 Adulto maduro         SĆ­
## 101 southeast  55 male 33.88        3     no 11987.168 Adulto maduro         SĆ­
## 102 southeast  27 male 33.66        0     no  2498.414  Adulto joven         No
## 103 southeast  62 male 38.83        0     no 12981.346 Adulto maduro         No
## 104 southeast  52 male 41.80        2    yes 47269.854 Adulto maduro         SĆ­
## 105 southeast  28 male 23.98        3    yes 17663.144  Adulto joven         SĆ­
## 106 southeast  48 male 29.70        0     no  7789.635 Adulto maduro         No
## 107 southeast  56 male 33.66        4     no 12949.155 Adulto maduro         SĆ­
## 108 southeast  21 male 31.02        0     no 16586.498         Joven         No
## 109 southeast  44 male 34.32        1     no  7147.473  Adulto joven         SĆ­
## 110 southeast  31 male 38.39        2     no  4463.205  Adulto joven         SĆ­
## 111 southeast  21 male 35.53        0     no  1532.470         Joven         No
## 112 southeast  21 male 23.21        0     no  1515.345         Joven         No
## 113 southeast  40 male 41.69        0     no  5438.749  Adulto joven         No
## 114 southeast  27 male 31.13        1    yes 34806.468  Adulto joven         SĆ­
## 115 southeast  35 male 24.42        3    yes 19361.999  Adulto joven         SĆ­
## 116 southeast  45 male 30.36        0    yes 62592.873 Adulto maduro         No
## 117 southeast  57 male 27.94        1     no 11554.224 Adulto maduro         SĆ­
## 118 southeast  42 male 37.18        2     no  7162.012  Adulto joven         SĆ­
## 119 southeast  53 male 41.47        0     no  9504.310 Adulto maduro         No
## 120 southeast  48 male 37.29        2     no  8978.185 Adulto maduro         SĆ­
## 121 southeast  27 male 23.10        0     no  2483.736  Adulto joven         No
## 122 southeast  53 male 31.35        0     no 27346.042 Adulto maduro         No
## 123 southeast  38 male 38.39        3    yes 41949.244  Adulto joven         SĆ­
## 124 southeast  40 male 19.80        1    yes 17179.522  Adulto joven         SĆ­
## 125 southeast  18 male 53.13        0     no  1163.463         Joven         No
## 126 southeast  27 male 32.67        0     no  2497.038  Adulto joven         No
## 127 southeast  63 male 33.66        3     no 15161.534 Adulto maduro         SĆ­
## 128 southeast  21 male 36.85        0     no  1534.304         Joven         No
## 129 southeast  44 male 38.06        1     no  7152.671  Adulto joven         SĆ­
## 130 southeast  40 male 25.08        0     no  5415.661  Adulto joven         No
## 131 southeast  48 male 40.15        0     no  7804.160 Adulto maduro         No
## 132 southeast  57 male 42.13        1    yes 48675.518 Adulto maduro         SĆ­
## 133 southeast  26 male 29.15        1     no  2902.907  Adulto joven         SĆ­
## 134 southeast  42 male 35.97        2     no  7160.330  Adulto joven         SĆ­
## 135 southeast  56 male 31.79        2    yes 43813.866 Adulto maduro         SĆ­
## 136 southeast  23 male 41.91        0     no  1837.282         Joven         No
## 137 southeast  54 male 30.80        1    yes 41999.520 Adulto maduro         SĆ­
## 138 southeast  62 male 39.93        0     no 12982.875 Adulto maduro         No
## 139 southeast  25 male 25.74        0     no  2137.654  Adulto joven         No
## 140 southeast  36 male 34.43        2     no  5584.306  Adulto joven         SĆ­
## 141 southeast  34 male 34.21        0     no  3935.180  Adulto joven         No
## 142 southeast  58 male 32.01        1     no 11946.626 Adulto maduro         SĆ­
## 143 southeast  63 male 41.47        0     no 13405.390 Adulto maduro         No
## 144 southeast  52 male 47.74        1     no  9748.911 Adulto maduro         SĆ­
## 145 southeast  47 male 47.52        1     no  8083.920 Adulto maduro         SĆ­
## 146 southeast  47 male 36.19        0    yes 41676.081 Adulto maduro         No
## 147 southeast  64 male 39.16        1     no 14418.280 Adulto maduro         SĆ­
## 148 southeast  39 male 45.43        2     no  6356.271  Adulto joven         SĆ­
## 149 southeast  64 male 33.88        0    yes 46889.261 Adulto maduro         No
## 150 southeast  59 male 26.40        0     no 11743.299 Adulto maduro         No
## 151 southeast  49 male 35.86        0     no  8124.408 Adulto maduro         No
## 152 southeast  46 male 43.89        3     no  8944.115 Adulto maduro         SĆ­
## 153 southeast  64 male 40.48        0     no 13831.115 Adulto maduro         No
## 154 southeast  47 male 36.08        1    yes 42211.138 Adulto maduro         SĆ­
## 155 southeast  49 male 36.85        0     no  8125.784 Adulto maduro         No
## 156 southeast  22 male 37.07        2    yes 37484.449         Joven         SĆ­
## 157 southeast  60 male 25.74        0     no 12142.579 Adulto maduro         No
## 158 southeast  34 male 42.13        2     no  5124.189  Adulto joven         SĆ­
## 159 southeast  51 male 35.97        1     no  9386.161 Adulto maduro         SĆ­
## 160 southeast  51 male 23.21        1    yes 22218.115 Adulto maduro         SĆ­
## 161 southeast  49 male 37.51        2     no  9304.702 Adulto maduro         SĆ­
## 162 southeast  57 male 40.37        0     no 10982.501 Adulto maduro         No
## 163 southeast  30 male 38.83        1     no 18963.172  Adulto joven         SĆ­
## 164 southeast  36 male 34.43        0    yes 37742.576  Adulto joven         No
## 165 southeast  23 male 50.38        1     no  2438.055         Joven         SĆ­
## 166 southeast  53 male 29.48        0     no  9487.644 Adulto maduro         No
## 167 southeast  50 male 25.30        0     no  8442.667 Adulto maduro         No
## 168 southeast  18 male 41.14        0     no  1146.797         Joven         No
## 169 southeast  58 male 36.08        0     no 11363.283 Adulto maduro         No
## 170 southeast  64 male 23.76        0    yes 26926.514 Adulto maduro         No
##     bonificacion
## 1            200
## 2            200
## 3            200
## 4            200
## 5            200
## 6            200
## 7            200
## 8            200
## 9            200
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## 11           200
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## 140          200
## 141          200
## 142          200
## 143          200
## 144          200
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## 146          200
## 147          200
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## 149          200
## 150          200
## 151          200
## 152          200
## 153          200
## 154          200
## 155          200
## 156          200
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## 165          200
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## 167          200
## 168          200
## 169          200
## 170          200
##########################################
# 9. EstadĆ­stica inferencial
##########################################
intervalo_confianza_media <- function(data, variable, alpha = 0.05) {
  x <- data[[variable]]
  media_x <- mean(x, na.rm = TRUE)
  sd_x <- sd(x, na.rm = TRUE)
  n <- sum(!is.na(x))
  z <- qnorm(1 - alpha / 2)
  inf <- media_x - z * (sd_x / sqrt(n))
  sup <- media_x + z * (sd_x / sqrt(n))
  data.frame(Variable = variable, Media = media_x, Desviacion = sd_x,
             n = n, Z = z, Limite_Inferior = inf, Limite_Superior = sup)
}
intervalo_confianza_media(insurance, "bmi")
##   Variable    Media Desviacion    n        Z Limite_Inferior Limite_Superior
## 1      bmi 30.66345   6.100468 1337 1.959964        30.33645        30.99045
# GrÔficos de distribución normal
pnormGC(c(-1.65, 1.65),
        region = "outside",
        mean = 0, sd = 1,
        graph = TRUE)

## [1] 0.09894294
pnormGC(c(-2, 2), 
        region = "between", 
        mean = 0, sd = 1, 
        graph = TRUE)
## [1] 0.9544997
abline(v = -2, col = "red", lwd = 2, lty = 2)
abline(v = 2, col = "red", lwd = 2, lty = 2)

pnormGC(-1.5, 
        region = "below", #menores
        mean = 0, sd = 1, 
        graph = TRUE)
## [1] 0.0668072
abline(v = -1.5, col = "red", lwd = 2, lty = 2)

pnormGC(1, 
        region = "above",#mayores
        mean = 0, sd = 1,
        graph = TRUE)
## [1] 0.1586553
abline(v = 1, col = "red", lwd = 2, lty = 2)

# Pruebas de hipótesis (una muestra)
z.test(x = insurance$age, 
       sigma.x = sd(insurance$age), 
       mu = 39, 
       alternative = "two.sided", 
       conf.level = 0.95)
## 
##  One-sample z-Test
## 
## data:  insurance$age
## z = 0.57835, p-value = 0.563
## alternative hypothesis: true mean is not equal to 39
## 95 percent confidence interval:
##  38.46933 39.97495
## sample estimates:
## mean of x 
##  39.22214
z.test(x = insurance$age, 
       sigma.x = sd(insurance$age),
       mu = 40, 
       alternative = "less",
       conf.level = 0.95)
## 
##  One-sample z-Test
## 
## data:  insurance$age
## z = -2.0252, p-value = 0.02142
## alternative hypothesis: true mean is less than 40
## 95 percent confidence interval:
##        NA 39.85391
## sample estimates:
## mean of x 
##  39.22214
z.test(x = insurance$age, 
       sigma.x = sd(insurance$age),
       mu = 30,
       alternative = "greater", 
       conf.level = 0.95)
## 
##  One-sample z-Test
## 
## data:  insurance$age
## z = 24.01, p-value < 2.2e-16
## alternative hypothesis: true mean is greater than 30
## 95 percent confidence interval:
##  38.59036       NA
## sample estimates:
## mean of x 
##  39.22214
# Comparación de medias independientes (sexo)
sex.bmi <- split(insurance, insurance$sex)

z.test(x = sex.bmi$female$bmi,
       y = sex.bmi$male$bmi,
       sigma.x = sd(sex.bmi$female$bmi),
       sigma.y = sd(sex.bmi$male$bmi),
       mu = 0,
       alternative = "two.sided",
       conf.level = 0.95)
## 
##  Two-sample z-Test
## 
## data:  sex.bmi$female$bmi and sex.bmi$male$bmi
## z = -1.6973, p-value = 0.08963
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -1.21936732  0.08756211
## sample estimates:
## mean of x mean of y 
##  30.37775  30.94365
# Pruebas de proporciones
fa <- table(insurance$sex)
prop.test(x = fa[1],#exitos
          n = nrow(insurance),
          p = 0.5, 
          alternative = "two.sided",
          conf.level = 0.95)
## 
##  1-sample proportions test with continuity correction
## 
## data:  [ out of nrowfa out of insurance1 out of nrow
## X-squared = 0.1077, df = 1, p-value = 0.7428
## alternative hypothesis: true p is not equal to 0.5
## 95 percent confidence interval:
##  0.4680182 0.5222868
## sample estimates:
##         p 
## 0.4951384
prop.test(c(fa[1], fa[2]), 
          c(nrow(insurance), 
            nrow(insurance)), 
          alternative = "two.sided",
          conf.level = 0.95)
## 
##  2-sample test for equality of proportions with continuity correction
## 
## data:  c out of cfa[1] out of nrow(insurance)fa[2] out of nrow(insurance)
## X-squared = 0.21541, df = 1, p-value = 0.6426
## alternative hypothesis: two.sided
## 95 percent confidence interval:
##  -0.04837187  0.02892535
## sample estimates:
##    prop 1    prop 2 
## 0.4951384 0.5048616
# Prueba de independencia
chisq.test(fa)
## 
##  Chi-squared test for given probabilities
## 
## data:  fa
## X-squared = 0.1264, df = 1, p-value = 0.7222