NAMA : Chiara Dewi Chatlina

NIM : 23031554170

MATA KULIAH : ANALISIS MULTIVARIAT

DOSEN PENGAMPU : Ike Fitriyaningsih, M.Si

NIDN : 0109049001

dataset <- read.csv("D:/SEMESTER 4/ANMUL/archive (9)/train.csv")
head(dataset)
##   battery_power blue clock_speed dual_sim fc four_g int_memory m_dep mobile_wt
## 1           842    0         2.2        0  1      0          7   0.6       188
## 2          1021    1         0.5        1  0      1         53   0.7       136
## 3           563    1         0.5        1  2      1         41   0.9       145
## 4           615    1         2.5        0  0      0         10   0.8       131
## 5          1821    1         1.2        0 13      1         44   0.6       141
## 6          1859    0         0.5        1  3      0         22   0.7       164
##   n_cores pc px_height px_width  ram sc_h sc_w talk_time three_g touch_screen
## 1       2  2        20      756 2549    9    7        19       0            0
## 2       3  6       905     1988 2631   17    3         7       1            1
## 3       5  6      1263     1716 2603   11    2         9       1            1
## 4       6  9      1216     1786 2769   16    8        11       1            0
## 5       2 14      1208     1212 1411    8    2        15       1            1
## 6       1  7      1004     1654 1067   17    1        10       1            0
##   wifi price_range
## 1    1           1
## 2    0           2
## 3    0           2
## 4    0           2
## 5    0           1
## 6    0           1
str(dataset)
## 'data.frame':    2000 obs. of  21 variables:
##  $ battery_power: int  842 1021 563 615 1821 1859 1821 1954 1445 509 ...
##  $ blue         : int  0 1 1 1 1 0 0 0 1 1 ...
##  $ clock_speed  : num  2.2 0.5 0.5 2.5 1.2 0.5 1.7 0.5 0.5 0.6 ...
##  $ dual_sim     : int  0 1 1 0 0 1 0 1 0 1 ...
##  $ fc           : int  1 0 2 0 13 3 4 0 0 2 ...
##  $ four_g       : int  0 1 1 0 1 0 1 0 0 1 ...
##  $ int_memory   : int  7 53 41 10 44 22 10 24 53 9 ...
##  $ m_dep        : num  0.6 0.7 0.9 0.8 0.6 0.7 0.8 0.8 0.7 0.1 ...
##  $ mobile_wt    : int  188 136 145 131 141 164 139 187 174 93 ...
##  $ n_cores      : int  2 3 5 6 2 1 8 4 7 5 ...
##  $ pc           : int  2 6 6 9 14 7 10 0 14 15 ...
##  $ px_height    : int  20 905 1263 1216 1208 1004 381 512 386 1137 ...
##  $ px_width     : int  756 1988 1716 1786 1212 1654 1018 1149 836 1224 ...
##  $ ram          : int  2549 2631 2603 2769 1411 1067 3220 700 1099 513 ...
##  $ sc_h         : int  9 17 11 16 8 17 13 16 17 19 ...
##  $ sc_w         : int  7 3 2 8 2 1 8 3 1 10 ...
##  $ talk_time    : int  19 7 9 11 15 10 18 5 20 12 ...
##  $ three_g      : int  0 1 1 1 1 1 1 1 1 1 ...
##  $ touch_screen : int  0 1 1 0 1 0 0 1 0 0 ...
##  $ wifi         : int  1 0 0 0 0 0 1 1 0 0 ...
##  $ price_range  : int  1 2 2 2 1 1 3 0 0 0 ...
summary(dataset)
##  battery_power         blue        clock_speed       dual_sim     
##  Min.   : 501.0   Min.   :0.000   Min.   :0.500   Min.   :0.0000  
##  1st Qu.: 851.8   1st Qu.:0.000   1st Qu.:0.700   1st Qu.:0.0000  
##  Median :1226.0   Median :0.000   Median :1.500   Median :1.0000  
##  Mean   :1238.5   Mean   :0.495   Mean   :1.522   Mean   :0.5095  
##  3rd Qu.:1615.2   3rd Qu.:1.000   3rd Qu.:2.200   3rd Qu.:1.0000  
##  Max.   :1998.0   Max.   :1.000   Max.   :3.000   Max.   :1.0000  
##        fc             four_g         int_memory        m_dep       
##  Min.   : 0.000   Min.   :0.0000   Min.   : 2.00   Min.   :0.1000  
##  1st Qu.: 1.000   1st Qu.:0.0000   1st Qu.:16.00   1st Qu.:0.2000  
##  Median : 3.000   Median :1.0000   Median :32.00   Median :0.5000  
##  Mean   : 4.309   Mean   :0.5215   Mean   :32.05   Mean   :0.5018  
##  3rd Qu.: 7.000   3rd Qu.:1.0000   3rd Qu.:48.00   3rd Qu.:0.8000  
##  Max.   :19.000   Max.   :1.0000   Max.   :64.00   Max.   :1.0000  
##    mobile_wt        n_cores            pc           px_height     
##  Min.   : 80.0   Min.   :1.000   Min.   : 0.000   Min.   :   0.0  
##  1st Qu.:109.0   1st Qu.:3.000   1st Qu.: 5.000   1st Qu.: 282.8  
##  Median :141.0   Median :4.000   Median :10.000   Median : 564.0  
##  Mean   :140.2   Mean   :4.521   Mean   : 9.916   Mean   : 645.1  
##  3rd Qu.:170.0   3rd Qu.:7.000   3rd Qu.:15.000   3rd Qu.: 947.2  
##  Max.   :200.0   Max.   :8.000   Max.   :20.000   Max.   :1960.0  
##     px_width           ram            sc_h            sc_w       
##  Min.   : 500.0   Min.   : 256   Min.   : 5.00   Min.   : 0.000  
##  1st Qu.: 874.8   1st Qu.:1208   1st Qu.: 9.00   1st Qu.: 2.000  
##  Median :1247.0   Median :2146   Median :12.00   Median : 5.000  
##  Mean   :1251.5   Mean   :2124   Mean   :12.31   Mean   : 5.767  
##  3rd Qu.:1633.0   3rd Qu.:3064   3rd Qu.:16.00   3rd Qu.: 9.000  
##  Max.   :1998.0   Max.   :3998   Max.   :19.00   Max.   :18.000  
##    talk_time        three_g        touch_screen        wifi      
##  Min.   : 2.00   Min.   :0.0000   Min.   :0.000   Min.   :0.000  
##  1st Qu.: 6.00   1st Qu.:1.0000   1st Qu.:0.000   1st Qu.:0.000  
##  Median :11.00   Median :1.0000   Median :1.000   Median :1.000  
##  Mean   :11.01   Mean   :0.7615   Mean   :0.503   Mean   :0.507  
##  3rd Qu.:16.00   3rd Qu.:1.0000   3rd Qu.:1.000   3rd Qu.:1.000  
##  Max.   :20.00   Max.   :1.0000   Max.   :1.000   Max.   :1.000  
##   price_range  
##  Min.   :0.00  
##  1st Qu.:0.75  
##  Median :1.50  
##  Mean   :1.50  
##  3rd Qu.:2.25  
##  Max.   :3.00

#Pre-processing

missing_values <- colSums(is.na(dataset))
cat("Missing values per kolom:\n")
## Missing values per kolom:
print(missing_values)
## battery_power          blue   clock_speed      dual_sim            fc 
##             0             0             0             0             0 
##        four_g    int_memory         m_dep     mobile_wt       n_cores 
##             0             0             0             0             0 
##            pc     px_height      px_width           ram          sc_h 
##             0             0             0             0             0 
##          sc_w     talk_time       three_g  touch_screen          wifi 
##             0             0             0             0             0 
##   price_range 
##             0
duplicate_count <- sum(duplicated(dataset))
cat("Jumlah data duplikat:", duplicate_count, "\n")
## Jumlah data duplikat: 0
numeric_data <- dataset %>% select_if(is.numeric)

cor_matrix <- cor(numeric_data, use = "complete.obs")

ggcorr(numeric_data,label = TRUE,label_size = 3, hjust = 0.95, layout.exp = 3, name = "Correlation") +
  ggtitle("Matriks Korelasi Tiap Variabel") +
  theme(
    plot.title = element_text(size = 16, face = "bold", hjust = 0.5),
    legend.title = element_text(size = 12),
    legend.text = element_text(size = 10)
  )

library(dplyr)

dataset <- dataset %>%
  mutate(
    blue          = as.factor(blue),
    dual_sim      = as.factor(dual_sim),
    four_g        = as.factor(four_g),
    three_g       = as.factor(three_g),
    touch_screen  = as.factor(touch_screen),
    wifi          = as.factor(wifi),
    
    price_range = as.character(price_range),
    
    price_range = dplyr::recode(price_range,
                                "0" = "low cost",
                                "1" = "medium cost",
                                "2" = "high cost",
                                "3" = "very high cost"),
    
    price_range = ordered(price_range,
                          levels = c("low cost", "medium cost", "high cost", "very high cost"))
  )
summary(dataset)
##  battery_power    blue      clock_speed    dual_sim       fc         four_g  
##  Min.   : 501.0   0:1010   Min.   :0.500   0: 981   Min.   : 0.000   0: 957  
##  1st Qu.: 851.8   1: 990   1st Qu.:0.700   1:1019   1st Qu.: 1.000   1:1043  
##  Median :1226.0            Median :1.500            Median : 3.000           
##  Mean   :1238.5            Mean   :1.522            Mean   : 4.309           
##  3rd Qu.:1615.2            3rd Qu.:2.200            3rd Qu.: 7.000           
##  Max.   :1998.0            Max.   :3.000            Max.   :19.000           
##    int_memory        m_dep          mobile_wt        n_cores     
##  Min.   : 2.00   Min.   :0.1000   Min.   : 80.0   Min.   :1.000  
##  1st Qu.:16.00   1st Qu.:0.2000   1st Qu.:109.0   1st Qu.:3.000  
##  Median :32.00   Median :0.5000   Median :141.0   Median :4.000  
##  Mean   :32.05   Mean   :0.5018   Mean   :140.2   Mean   :4.521  
##  3rd Qu.:48.00   3rd Qu.:0.8000   3rd Qu.:170.0   3rd Qu.:7.000  
##  Max.   :64.00   Max.   :1.0000   Max.   :200.0   Max.   :8.000  
##        pc           px_height         px_width           ram      
##  Min.   : 0.000   Min.   :   0.0   Min.   : 500.0   Min.   : 256  
##  1st Qu.: 5.000   1st Qu.: 282.8   1st Qu.: 874.8   1st Qu.:1208  
##  Median :10.000   Median : 564.0   Median :1247.0   Median :2146  
##  Mean   : 9.916   Mean   : 645.1   Mean   :1251.5   Mean   :2124  
##  3rd Qu.:15.000   3rd Qu.: 947.2   3rd Qu.:1633.0   3rd Qu.:3064  
##  Max.   :20.000   Max.   :1960.0   Max.   :1998.0   Max.   :3998  
##       sc_h            sc_w          talk_time     three_g  touch_screen
##  Min.   : 5.00   Min.   : 0.000   Min.   : 2.00   0: 477   0: 994      
##  1st Qu.: 9.00   1st Qu.: 2.000   1st Qu.: 6.00   1:1523   1:1006      
##  Median :12.00   Median : 5.000   Median :11.00                        
##  Mean   :12.31   Mean   : 5.767   Mean   :11.01                        
##  3rd Qu.:16.00   3rd Qu.: 9.000   3rd Qu.:16.00                        
##  Max.   :19.00   Max.   :18.000   Max.   :20.00                        
##  wifi             price_range 
##  0: 986   low cost      :500  
##  1:1014   medium cost   :500  
##           high cost     :500  
##           very high cost:500  
##                               
## 
str(dataset)
## 'data.frame':    2000 obs. of  21 variables:
##  $ battery_power: int  842 1021 563 615 1821 1859 1821 1954 1445 509 ...
##  $ blue         : Factor w/ 2 levels "0","1": 1 2 2 2 2 1 1 1 2 2 ...
##  $ clock_speed  : num  2.2 0.5 0.5 2.5 1.2 0.5 1.7 0.5 0.5 0.6 ...
##  $ dual_sim     : Factor w/ 2 levels "0","1": 1 2 2 1 1 2 1 2 1 2 ...
##  $ fc           : int  1 0 2 0 13 3 4 0 0 2 ...
##  $ four_g       : Factor w/ 2 levels "0","1": 1 2 2 1 2 1 2 1 1 2 ...
##  $ int_memory   : int  7 53 41 10 44 22 10 24 53 9 ...
##  $ m_dep        : num  0.6 0.7 0.9 0.8 0.6 0.7 0.8 0.8 0.7 0.1 ...
##  $ mobile_wt    : int  188 136 145 131 141 164 139 187 174 93 ...
##  $ n_cores      : int  2 3 5 6 2 1 8 4 7 5 ...
##  $ pc           : int  2 6 6 9 14 7 10 0 14 15 ...
##  $ px_height    : int  20 905 1263 1216 1208 1004 381 512 386 1137 ...
##  $ px_width     : int  756 1988 1716 1786 1212 1654 1018 1149 836 1224 ...
##  $ ram          : int  2549 2631 2603 2769 1411 1067 3220 700 1099 513 ...
##  $ sc_h         : int  9 17 11 16 8 17 13 16 17 19 ...
##  $ sc_w         : int  7 3 2 8 2 1 8 3 1 10 ...
##  $ talk_time    : int  19 7 9 11 15 10 18 5 20 12 ...
##  $ three_g      : Factor w/ 2 levels "0","1": 1 2 2 2 2 2 2 2 2 2 ...
##  $ touch_screen : Factor w/ 2 levels "0","1": 1 2 2 1 2 1 1 2 1 1 ...
##  $ wifi         : Factor w/ 2 levels "0","1": 2 1 1 1 1 1 2 2 1 1 ...
##  $ price_range  : Ord.factor w/ 4 levels "low cost"<"medium cost"<..: 2 3 3 3 2 2 4 1 1 1 ...

ANALISIS STATISTIK DESKRIPTIF

statistik deskriptif untuk variabel numerik

describe(dataset %>% select_if(is.numeric))
##               vars    n    mean      sd median trimmed     mad   min  max
## battery_power    1 2000 1238.52  439.42 1226.0 1236.25  566.35 501.0 1998
## clock_speed      2 2000    1.52    0.82    1.5    1.48    1.19   0.5    3
## fc               3 2000    4.31    4.34    3.0    3.69    4.45   0.0   19
## int_memory       4 2000   32.05   18.15   32.0   31.88   23.72   2.0   64
## m_dep            5 2000    0.50    0.29    0.5    0.50    0.44   0.1    1
## mobile_wt        6 2000  140.25   35.40  141.0  140.22   45.96  80.0  200
## n_cores          7 2000    4.52    2.29    4.0    4.53    2.97   1.0    8
## pc               8 2000    9.92    6.06   10.0    9.89    7.41   0.0   20
## px_height        9 2000  645.11  443.78  564.0  606.95  471.47   0.0 1960
## px_width        10 2000 1251.52  432.20 1247.0 1250.53  557.46 500.0 1998
## ram             11 2000 2124.21 1084.73 2146.5 2122.93 1382.52 256.0 3998
## sc_h            12 2000   12.31    4.21   12.0   12.37    5.93   5.0   19
## sc_w            13 2000    5.77    4.36    5.0    5.40    4.45   0.0   18
## talk_time       14 2000   11.01    5.46   11.0   11.01    7.41   2.0   20
##                range  skew kurtosis    se
## battery_power 1497.0  0.03    -1.23  9.83
## clock_speed      2.5  0.18    -1.32  0.02
## fc              19.0  1.02     0.27  0.10
## int_memory      62.0  0.06    -1.22  0.41
## m_dep            0.9  0.09    -1.28  0.01
## mobile_wt      120.0  0.01    -1.21  0.79
## n_cores          7.0  0.00    -1.23  0.05
## pc              20.0  0.02    -1.17  0.14
## px_height     1960.0  0.67    -0.32  9.92
## px_width      1498.0  0.01    -1.19  9.66
## ram           3742.0  0.01    -1.19 24.26
## sc_h            14.0 -0.10    -1.19  0.09
## sc_w            18.0  0.63    -0.39  0.10
## talk_time       18.0  0.01    -1.22  0.12
dataset %>%
  select_if(is.numeric) %>%
  gather(key = "Variabel", value = "Nilai") %>%
  ggplot(aes(x = Nilai)) +
  facet_wrap(~ Variabel, scales = "free", ncol = 3) +
  geom_histogram(bins = 10, fill = "steelblue", color = "black") +
  theme_minimal()

numerik_vars <- names(dataset)[sapply(dataset, is.numeric)]

for (var in numerik_vars) {
  p <- ggplot(dataset, aes(x = price_range, y = dataset[[var]], fill = price_range)) +
    geom_boxplot() +
    labs(title = paste("Distribusi", var, "berdasarkan Harga")) +
    theme_minimal() +
    theme(legend.position = "none")
  print(p)
}
## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

## Warning: Use of `dataset[[var]]` is discouraged.
## ℹ Use `.data[[var]]` instead.

numeric_data <- dataset %>% select_if(is.numeric)

cor_matrix <- cor(numeric_data, use = "complete.obs")

ggcorr(numeric_data,label = TRUE,label_size = 3, hjust = 0.95, layout.exp = 3, name = "Correlation") +
  ggtitle("Matriks Korelasi Tiap Variabel") +
  theme(
    plot.title = element_text(size = 16, face = "bold", hjust = 0.5),
    legend.title = element_text(size = 12),
    legend.text = element_text(size = 10)
  )

ggplot(dataset, aes(x = price_range, fill = price_range)) +
  geom_bar() +
  scale_fill_brewer(palette = "Set2") + 
  labs(
    title = "Distribusi Variabel Price Range",
    x = "Price Range",
    y = "Jumlah Data",
    fill = "Price Range"
  ) +
  theme_minimal(base_size = 14) +
  theme(legend.position = "right")

dataset %>%
  group_by(price_range) %>%
  summarise(across(where(is.numeric), 
                   list(mean = ~mean(.x, na.rm = TRUE), 
                        sd = ~sd(.x, na.rm = TRUE)),
                   .names = "{.col}_{.fn}"))
## # A tibble: 4 × 29
##   price_range    battery_power_mean battery_power_sd clock_speed_mean
##   <ord>                       <dbl>            <dbl>            <dbl>
## 1 low cost                    1117.             411.             1.55
## 2 medium cost                 1229.             439.             1.49
## 3 high cost                   1228.             453.             1.53
## 4 very high cost              1380.             415.             1.52
## # ℹ 25 more variables: clock_speed_sd <dbl>, fc_mean <dbl>, fc_sd <dbl>,
## #   int_memory_mean <dbl>, int_memory_sd <dbl>, m_dep_mean <dbl>,
## #   m_dep_sd <dbl>, mobile_wt_mean <dbl>, mobile_wt_sd <dbl>,
## #   n_cores_mean <dbl>, n_cores_sd <dbl>, pc_mean <dbl>, pc_sd <dbl>,
## #   px_height_mean <dbl>, px_height_sd <dbl>, px_width_mean <dbl>,
## #   px_width_sd <dbl>, ram_mean <dbl>, ram_sd <dbl>, sc_h_mean <dbl>,
## #   sc_h_sd <dbl>, sc_w_mean <dbl>, sc_w_sd <dbl>, talk_time_mean <dbl>, …
dataset
##      battery_power blue clock_speed dual_sim fc four_g int_memory m_dep
## 1              842    0         2.2        0  1      0          7   0.6
## 2             1021    1         0.5        1  0      1         53   0.7
## 3              563    1         0.5        1  2      1         41   0.9
## 4              615    1         2.5        0  0      0         10   0.8
## 5             1821    1         1.2        0 13      1         44   0.6
## 6             1859    0         0.5        1  3      0         22   0.7
## 7             1821    0         1.7        0  4      1         10   0.8
## 8             1954    0         0.5        1  0      0         24   0.8
## 9             1445    1         0.5        0  0      0         53   0.7
## 10             509    1         0.6        1  2      1          9   0.1
## 11             769    1         2.9        1  0      0          9   0.1
## 12            1520    1         2.2        0  5      1         33   0.5
## 13            1815    0         2.8        0  2      0         33   0.6
## 14             803    1         2.1        0  7      0         17   1.0
## 15            1866    0         0.5        0 13      1         52   0.7
## 16             775    0         1.0        0  3      0         46   0.7
## 17             838    0         0.5        0  1      1         13   0.1
## 18             595    0         0.9        1  7      1         23   0.1
## 19            1131    1         0.5        1 11      0         49   0.6
## 20             682    1         0.5        0  4      0         19   1.0
## 21             772    0         1.1        1 12      0         39   0.8
## 22            1709    1         2.1        0  1      0         13   1.0
## 23            1949    0         2.6        1  4      0         47   0.3
## 24            1602    1         2.8        1  4      1         38   0.7
## 25             503    0         1.2        1  5      1          8   0.4
## 26             961    1         1.4        1  0      1         57   0.6
## 27             519    1         1.6        1  7      1         51   0.3
## 28             956    0         0.5        0  1      1         41   1.0
## 29            1453    0         1.6        1 12      1         52   0.3
## 30             851    0         0.5        0  3      0         21   0.4
## 31            1579    1         0.5        1  0      0          5   0.2
## 32            1568    1         0.5        0 16      0         33   1.0
## 33            1319    1         0.9        0  3      1         41   0.9
## 34            1310    1         2.2        1  0      1         51   0.6
## 35             644    1         2.7        0  0      0         22   0.7
## 36             725    0         1.3        1 16      0         60   0.4
## 37             589    1         2.3        1  1      0         61   0.6
## 38            1725    1         1.6        1  6      1          6   0.5
## 39             790    0         2.0        1 16      1         11   0.3
## 40             560    0         0.5        1 15      0         50   0.3
## 41            1347    0         2.9        0  5      0         44   0.6
## 42            1646    1         2.3        0  8      1         41   0.2
## 43            1253    1         0.5        1  5      1          5   0.2
## 44            1656    0         1.0        0  5      1         34   0.1
## 45            1195    1         2.8        0  1      1         20   0.8
## 46            1514    0         2.9        0  0      0         27   0.2
## 47            1723    1         1.1        1  1      0         42   1.0
## 48            1054    1         1.8        1  3      1         40   0.8
## 49             578    1         2.6        1  2      1         57   0.2
## 50             596    0         2.1        1  9      0         64   0.8
## 51            1547    1         3.0        1  2      1         14   0.7
## 52            1760    0         1.4        1  5      0         63   0.8
## 53            1654    1         1.5        1  0      1         43   0.3
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## 1900          1837    0         0.5        0  9      0         36   0.9
## 1901          1619    1         1.9        0  2      1         21   0.4
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## 1904          1361    1         1.4        0  1      0         47   1.0
## 1905          1494    0         1.6        0  3      1         45   0.8
## 1906          1027    1         0.8        0  7      0         18   1.0
## 1907          1807    0         0.8        1  0      1         38   0.2
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## 1914          1969    0         1.2        1  9      0         63   0.2
## 1915           759    0         2.5        0  3      1         39   0.3
## 1916           936    0         1.0        0  1      0         18   0.2
## 1917          1176    1         2.1        0  2      1         62   0.5
## 1918          1802    0         2.7        1  0      1         10   0.6
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## 1920          1318    1         2.4        0  1      1         45   0.1
## 1921           591    1         0.5        1  1      1         16   0.9
## 1922           569    1         2.5        1  0      0         41   0.3
## 1923           764    0         1.0        1  9      1         45   0.5
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## 1927          1122    0         0.5        0  0      1         40   0.3
## 1928          1023    1         0.7        0  2      1         63   0.7
## 1929          1283    1         2.4        1  8      1         33   1.0
## 1930          1602    0         1.6        1  0      1         35   0.1
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## 1932          1854    0         0.9        1  0      1         33   0.4
## 1933           718    1         1.6        1  1      1         30   0.4
## 1934           897    1         2.0        0  3      1          2   0.6
## 1935          1405    0         1.7        0  0      0          8   0.3
## 1936           798    0         0.6        1  6      1         21   0.5
## 1937          1035    1         2.7        0  1      0         40   0.2
## 1938          1396    1         0.6        0  0      0         37   0.7
## 1939          1749    1         0.5        1  7      1         49   0.8
## 1940          1588    1         2.5        0 12      1          4   0.3
## 1941          1600    0         0.5        0  1      1         16   0.3
## 1942          1522    0         2.2        0  4      0         21   0.7
## 1943          1279    1         2.5        0  5      1          7   0.5
## 1944           719    0         2.9        0  7      0          6   0.7
## 1945           544    1         0.5        1  2      1          7   0.2
## 1946          1007    1         2.9        1  5      1         21   0.8
## 1947           590    1         1.2        1  0      0         32   0.4
## 1948          1788    0         0.5        0  0      1          6   0.2
## 1949           748    0         1.4        0  0      0         25   1.0
## 1950           757    1         0.9        1  4      0         64   0.5
## 1951          1561    1         1.6        1  1      1         27   0.8
## 1952          1327    0         2.8        0 10      0         23   0.5
## 1953           797    1         1.5        1  4      0         18   0.6
## 1954           727    1         2.5        1  0      1         64   0.2
## 1955           686    1         2.7        1  0      0         36   0.1
## 1956          1515    1         2.1        1  4      1         24   0.9
## 1957           555    1         0.5        1  2      0         17   0.2
## 1958          1589    0         0.6        0  0      0          5   0.8
## 1959          1976    1         2.6        1  6      0         45   1.0
## 1960          1884    0         1.0        1  3      0         24   0.5
## 1961          1063    0         2.0        0  0      0         27   0.2
## 1962           672    1         0.6        1 13      0         61   0.1
## 1963           635    1         0.5        0  9      0         16   1.0
## 1964          1906    1         1.9        1  3      0         55   0.2
## 1965          1753    0         0.7        0  4      0         40   0.6
## 1966           659    0         1.4        1  2      1          3   0.1
## 1967          1583    0         1.2        1  0      0         14   0.2
## 1968          1783    0         2.9        1  2      0         42   0.7
## 1969          1667    0         1.0        1  0      1         21   0.9
## 1970           640    0         1.3        1  5      1          6   0.6
## 1971          1913    1         1.8        0  0      0         29   0.6
## 1972           538    0         1.1        1  0      1         25   0.3
## 1973          1191    0         0.8        0  6      1         46   0.8
## 1974           816    0         3.0        1  2      0          9   0.1
## 1975           915    1         0.5        1  9      1         33   0.3
## 1976          1157    1         0.8        0  7      0         27   0.1
## 1977          1201    1         0.5        0  2      0         10   1.0
## 1978          1379    0         1.1        1  1      1         18   0.2
## 1979          1483    1         2.2        0  3      1         53   0.7
## 1980          1614    0         1.2        0  1      1          9   0.1
## 1981           930    1         1.0        1  4      1          4   0.9
## 1982          1454    0         2.6        0  8      0          6   0.4
## 1983          1784    0         1.6        0  4      0         41   0.4
## 1984          1262    0         1.8        1 12      0         34   0.1
## 1985           797    0         2.2        1  0      0         37   0.9
## 1986          1829    1         2.1        0  8      0         59   0.1
## 1987          1139    1         0.9        1  6      1         58   0.5
## 1988           618    1         1.0        0  9      1         13   0.1
## 1989          1547    1         2.9        0  2      0         57   0.4
## 1990           586    0         2.8        0  2      0         15   0.2
## 1991          1617    1         2.4        0  8      1         36   0.8
## 1992          1882    0         2.0        0 11      1         44   0.8
## 1993           674    1         2.9        1  1      0         21   0.2
## 1994          1467    1         0.5        0  0      0         18   0.6
## 1995           858    0         2.2        0  1      0         50   0.1
## 1996           794    1         0.5        1  0      1          2   0.8
## 1997          1965    1         2.6        1  0      0         39   0.2
## 1998          1911    0         0.9        1  1      1         36   0.7
## 1999          1512    0         0.9        0  4      1         46   0.1
## 2000           510    1         2.0        1  5      1         45   0.9
##      mobile_wt n_cores pc px_height px_width  ram sc_h sc_w talk_time three_g
## 1          188       2  2        20      756 2549    9    7        19       0
## 2          136       3  6       905     1988 2631   17    3         7       1
## 3          145       5  6      1263     1716 2603   11    2         9       1
## 4          131       6  9      1216     1786 2769   16    8        11       1
## 5          141       2 14      1208     1212 1411    8    2        15       1
## 6          164       1  7      1004     1654 1067   17    1        10       1
## 7          139       8 10       381     1018 3220   13    8        18       1
## 8          187       4  0       512     1149  700   16    3         5       1
## 9          174       7 14       386      836 1099   17    1        20       1
## 10          93       5 15      1137     1224  513   19   10        12       1
## 11         182       5  1       248      874 3946    5    2         7       0
## 12         177       8 18       151     1005 3826   14    9        13       1
## 13         159       4 17       607      748 1482   18    0         2       1
## 14         198       4 11       344     1440 2680    7    1         4       1
## 15         185       1 17       356      563  373   14    9         3       1
## 16         159       2 16       862     1864  568   17   15        11       1
## 17         196       8  4       984     1850 3554   10    9        19       1
## 18         121       3 17       441      810 3752   10    2        18       1
## 19         101       5 18       658      878 1835   19   13        16       1
## 20         121       4 11       902     1064 2337   11    1        18       0
## 21          81       7 14      1314     1854 2819   17   15         3       1
## 22         156       2  2       974     1385 3283   17    1        15       1
## 23         199       4  7       407      822 1433   11    5        20       0
## 24         114       3 20       466      788 1037    8    7        20       1
## 25         111       3 13       201     1245 2583   11    0        12       1
## 26         114       8  3       291     1434 2782   18    9         7       1
## 27         132       4 19       550      645 3763   16    1         4       1
## 28         143       7  6       511     1075 3286   17    8        12       1
## 29          96       2 18       187     1311 2373   10    1        10       1
## 30         200       5  7      1171     1263  478   12    7        10       1
## 31          88       7  9      1358     1739 3532   17   11        12       0
## 32         150       8 20       413      654  508    5    1         6       1
## 33         107       1 18        85     1152 2227   18    5         3       1
## 34         100       4  0       178     1919 3845    7    0        12       1
## 35         157       8  3       311      881 1262   12    1        15       1
## 36         160       8 17      1134     1249 1326   10    4        15       1
## 37         160       4 10       429      815 2113   13    7         2       1
## 38         119       2 18       609     1307 3429    6    5         4       1
## 39          87       6 17       347      730 3169    6    1         2       1
## 40         159       2 20      1448     1613 2150   18   12        11       1
## 41         132       1 14       434      967 2484   18    2        11       1
## 42         185       2 10      1725     1932 3339   18   10        19       1
## 43         152       2 19       685      714 1878   15    0         4       1
## 44         166       3  7       880     1456 1629   15   12        14       1
## 45         110       2 14      1580     1652  504    9    3        12       1
## 46         118       3  1       186     1810 1152    8    3        20       0
## 47         164       8 14       202     1791 3587   10    5         3       1
## 48         196       7 10        27      774 2296   16   12        12       1
## 49         162       8  8      1025     1433 1270   15    3         5       1
## 50         111       8 15       885     1854 3238   16   13        10       0
## 51         198       3 19      1042     1832 2059    5    0        15       1
## 52         127       8 19      1382     1383 2053   19   12        16       0
## 53         109       2  0       546      629 3112   12    5        10       1
## 54         102       3 10      1013     1287 1440   17    8        12       1
## 55         145       7  0       690      804 2908    6    0        18       0
## 56         104       3 20       667     1036 2552   14    7        13       1
## 57         148       8 19       822     1449  905   14   11        17       1
## 58         107       3  9       581      820 3963    9    4        20       1
## 59         180       6 14       265      713 2056    7    5         4       0
## 60         128       5  4       127      683 2910   15   13         9       1
## 61         134       3  5       916      969 1457   14    4        20       1
## 62         144       8  6       361      975  431   15    6         6       1
## 63         159       2  0       322      547  470    7    0        15       1
## 64         168       2 18       753     1353 2148   14    2         5       1
## 65         141       3  3       504     1570 2955   10    4        19       1
## 66          81       3 17       651     1618 3366   18    8        13       1
## 67         155       4 14      1565     1858 3068    9    4         4       1
## 68         182       3  0       108     1781 3834   16   11         8       0
## 69         165       2  1       459     1225 1050   11    1         4       1
## 70          80       4  1       205      603 3993    7    1         7       1
## 71         138       7 11       570     1724 3378   13   11         2       1
## 72         104       4  4      1172     1217 2192    9    7        13       1
## 73         142       3 16       160     1026  392   15    6         4       1
## 74         141       1  5         4      638 3709   11    0        12       1
## 75          90       4  6       763     1413  590    9    2         6       0
## 76         188       6 20       339     1242 1814    5    4        13       1
## 77         197       3 15      1040     1071  907   10    7        17       1
## 78         172       1  3       166      778 1449   11    7         6       0
## 79         116       4 20      1168     1552 3448   17   13        10       1
## 80         111       6  8       990     1486 1837    8    7        16       0
## 81          85       7  7       319     1206 3464   19   10         6       1
## 82         199       4 19      1397     1616 2593   14   11        16       1
## 83         180       5  3       708     1752 3484    9    6        11       0
## 84         114       3 15      1077     1122 2009   10    3        11       1
## 85         163       1 13       928     1049 2048   11    5        17       1
## 86          96       8 17       516     1894  837   15    9         4       0
## 87         182       5  5        96      741  854   16    0         7       0
## 88         178       3 11      1025     1118 3210   13    3         4       1
## 89         155       5 13       666     1203 2746    9    5         8       1
## 90         100       4 14       557     1402 2334   10    1        11       1
## 91         177       3  5      1605     1924 2822   19    3        16       1
## 92         171       7 18      1226     1242 1971   18    7        14       1
## 93         103       7  0       769      802 1410   16   10         5       1
## 94          83       6 15       403     1105  349   16   10         2       1
## 95         140       3  9       177     1990 1418   19   17        12       0
## 96         196       3 19       942     1179 3616   13    5        12       1
## 97         132       5 16       651      891  880   19    4         8       1
## 98         194       6 18      1572     1684 1601   18   17        14       1
## 99         141       2  1       476      961 1412   14    3        18       0
## 100        156       7  7      1233     1317 1692    6    2         7       1
## 101        146       6 13       836     1739 2600   16    8        20       1
## 102        119       8  9       824      881 1308   16    7        11       1
## 103        192       5  4       391      984 2413   17   14        15       1
## 104        199       4 10       320      520 1047   14   10        18       1
## 105        121       7  3       325      902 1204   11    4         8       1
## 106        103       4  3       125     1504 1799    5    2        11       1
## 107        172       5 10       846     1634 2676   12    6        11       0
## 108        198       5 16      1770     1796 2597   18    1        14       1
## 109         83       1  4       293     1846 3029   19   17         9       1
## 110        163       1  7      1633     1869 2343   19   13        14       1
## 111        106       3  4      1198     1471 2016   16    4        18       1
## 112        199       7 20       768      874 2213   18   13         7       0
## 113        135       6  1        70     1974  790   13    6         3       1
## 114        194       5 14       117      513 3182    8    4         5       1
## 115        153       7 19      1158     1244 3472    9    1        20       1
## 116         89       7  9      1055     1661 2871   12    1        13       1
## 117         82       8  0       635      973 3187   12    9         4       1
## 118        107       3 11       322      771 1945   15    4        10       1
## 119        199       1 12       275      989  488    5    3         9       0
## 120        102       3  0      1445     1954 1214    5    0        14       1
## 121        194       8  7       550     1338 2598   12    9         6       0
## 122         80       4  2      1242     1712 3242   18   11         4       1
## 123        130       3 10       597      863 3534   10    4         6       0
## 124        200       2  7       538     1376 3426    5    4        17       1
## 125        198       5  4        59     1203 2488   13    5        15       1
## 126         89       1 20       819      902 3255   19   14         9       0
## 127         88       4  1       179      786 2863    9    3        18       1
## 128        189       6 17      1259     1965 1496    6    4         7       1
## 129        181       3 16       396     1732 3801   12    0         7       1
## 130        100       6  1       713     1398  666   12   10        13       1
## 131         99       7  3       262      829 3799   17    7         7       1
## 132        184       1 14       622      792 1366    7    0        20       1
## 133        197       7 10       327      580 2962   12    9         4       1
## 134        195       8 12       522     1056 2399   10    5         7       1
## 135         89       4  5       313     1264 2338   12    8        20       0
## 136        108       5  0       226     1248 2700   12    3         9       0
## 137        133       6  8       605      669 2235   19    4         4       1
## 138        179       8  7       692     1686 3825   12   11         2       1
## 139        182       7 14      1386     1539  284   12    9         4       1
## 140        155       8  2       304     1042 1427    9    1         9       0
## 141        134       1 18      1590     1926 1324   17    0        17       1
## 142        147       3  4       229      616  398   17    0         5       1
## 143        137       1  5       839     1131 3685   18   17        17       1
## 144        141       7  6       507     1697 2390   12   11         5       1
## 145        134       3 11       436      536  278   19    0        10       1
## 146        141       2  2       756      786 3556   18   12        16       1
## 147        148       2  7       387     1269 2196   12    6        19       0
## 148        141       7  4      1265     1298 3799   16    1         4       1
## 149        199       3  7      1852     1967 2268   13    5         4       0
## 150        159       1  7       875     1025 2965   13   10        15       1
## 151        147       5 17       140      800 2341   10    1        20       1
## 152        190       7 14       577     1359 3557   16   11        12       0
## 153        176       6 12       975     1996 1354   16    7        19       1
## 154         84       2  9       510     1013 2147   19    1        11       1
## 155        166       2  8       583      590  505   12    2         3       0
## 156        139       1  6       674     1925 1394   16   10         6       1
## 157         97       4  4      1125     1989  374   18    4         8       1
## 158        109       6 18       747      826  506   10    0        11       1
## 159        198       6  0      1612     1983 3702   17    0        19       0
## 160        142       1 16       311     1545 1078    8    0        10       0
## 161         96       5 13       116     1533 2945   10    5        16       1
## 162        152       6 16       554      621 2981   15    6         7       1
## 163        124       5  3       811     1272  490    7    1         4       1
## 164        166       1 20       730     1729  536   17   14         4       1
## 165        118       8 17       577     1071 2317   16    4         7       1
## 166        183       4  8       660      974 3704   17   16        11       1
## 167        150       8  4       450     1554 2126   18    9         7       1
## 168        160       6  3      1223     1611 2050    7    6        12       1
## 169        157       7  8      1109     1937 2462   12    8        10       1
## 170        110       4 20        45     1942 1260    9    2        17       1
## 171        101       7  6       299      845 3770    5    3        13       1
## 172        101       5  5       506      627 1886   17    4        20       1
## 173        183       4  8       635      842 3323    9    1         7       1
## 174        197       5  4      1045     1737 2060   19    6        12       1
## 175        189       5  1       393     1199 3926   16   12        20       1
## 176        143       6 15       650     1740 2177    7    5        13       1
## 177         93       7 10       433      648  728   14    8         4       0
## 178        101       5  1       839     1136 2478   14    8        20       1
## 179        197       2 13      1176     1220 2842   16   12         2       1
## 180        165       7  4       650      879 1617   17    4        19       0
## 181        113       1 20       218     1065 1472   14    7         7       1
## 182        178       6 12       564      831  764   19   12        15       1
## 183        198       8  5       986     1191 2337    6    1        17       0
## 184         84       4 19       561     1631 3965   16    1         6       1
## 185        138       5 12        65      588 3693   17   14        16       1
## 186         92       3 13       420      500  797   13    2        15       1
## 187         95       6  9      1365     1698 1687   11    0        18       1
## 188        103       1 17       619     1299 2940   13    9         2       1
## 189        151       1  5       849      898 1545    9    5        10       1
## 190        150       5  5       611     1381 3834   17    7        13       1
## 191        165       1 18       953      984 2505   15    4        15       1
## 192        190       5 15       642     1533 2243   12   10         6       1
## 193        150       8  8      1417     1464 3600   17    9         7       1
## 194        117       2  6       247      539 3971   18   12        10       1
## 195        163       4 15       710     1179 2844    7    5        18       1
## 196        117       7  8       718      751 2227   18   10         3       1
## 197         94       3 13      1100     1497 1665   17    9        12       1
## 198        106       3  7        59     1215 3355   15    2         4       1
## 199         93       4  4       938     1948 1866   11   10        14       1
## 200        119       3 20       825     1542 1287   13    4        16       1
## 201        192       1  0       286     1235 1046    5    4        13       1
## 202        173       7 15      1273     1345 1441    7    4        13       1
## 203        166       3  9       295      589  690   14    6         6       1
## 204        105       7 17       852     1182 2504    6    4        15       1
## 205        168       6 19       710     1052 2677   19   15         8       1
## 206        115       8  1      1277     1429 2243   11    7         4       1
## 207        171       6 17       129      873 2984   13    4        17       1
## 208        182       5 16       690      836 1362    5    0        12       0
## 209        110       7  4       701     1478 3629   19   15         6       1
## 210        142       6  6       309     1460 3559   18   17         6       1
## 211        111       3  1       213      705 2571   11    0        13       1
## 212        159       8  0      1112     1666 2107   15    9        10       1
## 213        135       5 17       199     1077 1022   11    3        13       0
## 214        128       5 16        55     1020 2844   14    9        10       1
## 215         91       1  0      1230     1235  711    9    5        10       1
## 216        181       3  7      1052     1516 3117   18    5         8       1
## 217        181       8  2       541     1499  978    5    3         7       1
## 218        194       5  9        55      583 1869   13    1        16       1
## 219        112       3  1       809     1958 1179   16    7        20       1
## 220         88       5  6      1738     1995 3844   11    8         4       0
## 221        133       5 19       404      642  593   19   17        10       1
## 222        111       2 10       262     1178  588    6    5        18       1
## 223        116       4 12       759     1404 3836   12   11        11       0
## 224        123       6 11        42     1040 2669   12   10        13       1
## 225        166       4  4       397     1453 2958   14   11         2       0
## 226        200       2  5       964     1677 3031   11    6         6       1
## 227        109       1 19       233      517 3388    6    4        16       1
## 228        128       8  1      1022     1560 2377   18    8        13       0
## 229        138       4 19       411     1226 2458   19   16         3       1
## 230        127       3 18       954     1200 2766    7    2         7       0
## 231        112       5  6      1528     1647 3054   14   10        19       0
## 232        105       1  6       416     1308 3791   11   10         6       0
## 233         83       8 17       638     1615  625   17    6        13       1
## 234        192       3 19       231      687 2227    6    5        20       1
## 235        142       2 15       574      637 3256    9    8         6       1
## 236        129       1  8       148     1606  707   19    8        19       1
## 237        199       5 12       730     1543 1457   18   12        20       1
## 238        183       5 16       564      980 3755    7    1         8       1
## 239        183       7  1      1290     1441 1733    9    0        11       1
## 240        107       4  2       632     1383  720   12    2        11       1
## 241        139       8  1       529     1009 3560   11    1        16       1
## 242        187       7  0      1273     1754 2311    7    6         7       1
## 243        157       6 20       667      860 3846   10    1         3       1
## 244        110       5 10      1170     1543 1717    7    1        16       1
## 245        129       7 14       169     1108 3704    8    6        11       1
## 246        127       7 12       105      673 3800    8    3        14       1
## 247        165       2 15       793     1758  278   16    3        11       0
## 248         99       4 15       490      886 1767   18   15        11       1
## 249        107       5 10      1201     1485 1846   12    5         7       1
## 250        105       2  4       246     1038  829    9    0        10       1
## 251        183       2  1       417      946 2986    7    1         6       0
## 252         93       5  0      1177     1462 2394   17    9         7       0
## 253        195       8  7        78      654 2169    6    5         7       1
## 254        101       4  7       323     1604 1181   13    5        15       1
## 255        131       1 17       707     1882  575   15    9        12       0
## 256        190       7 16       457     1816 2977    6    4         2       1
## 257        154       4 13       356      765  532   12    8        10       1
## 258        141       7 11       936     1398 1702   17    0         5       1
## 259        168       3  1       912     1980 1074   14    8        15       1
## 260        162       6 17       179     1559 3352    9    1         3       1
## 261        178       7 10      1914     1928 1027    6    3         5       1
## 262         88       4  1       526     1529 2039    5    1        12       1
## 263        191       1  1       156      952  461    7    3         8       1
## 264        175       4 10       344     1517  527   10    0        15       0
## 265        177       2 16       865     1741 3271   14    0        15       1
## 266        100       2 15      1552     1596  606    9    3         4       1
## 267         86       6 14       546     1564 2513   10    8        16       1
## 268        136       6 12      1097     1222 1675   18    4        14       1
## 269         93       5  5       372      692 2698    9    6        17       1
## 270        148       1  6      1285     1617 1129   12    1         6       0
## 271        114       7 18      1242     1571  468   19   13         6       1
## 272         89       8  2       302     1247 1210   19   15         4       1
## 273        103       1 12       594     1767 3086   17    6         5       1
## 274         98       3 14       303      714 1595    8    4         9       1
## 275        133       2 15      1858     1935 2332   17   13        14       1
## 276        125       4  8       403     1933 2589   19   11        15       1
## 277        126       4 13        32     1509 3760    9    5        13       1
## 278        144       4 19       590      954 1851    8    2         9       1
## 279        177       7 13       235      662  417    8    4         9       1
## 280        187       8  4       630      888  294   13    9        11       0
## 281        119       6 20       357      527 3576   17   16         9       1
## 282        100       3 14       246      820 3945   11    7        18       1
## 283        200       7 11       475     1493  927   19   10        18       1
## 284        110       3  7      1054     1929 2044   15    5         2       1
## 285        158       8  9       555      764 2334   11    5         4       1
## 286        164       1  3       607     1092 1477   12    0         6       1
## 287        102       7  7      1360     1891 3161    8    4         3       0
## 288        170       8  0       142     1699 3660    7    5         5       1
## 289         84       1 20       681      683 1604   14    3         9       1
## 290        163       6  4       104     1664 2211    7    4        18       0
## 291        134       2 11       637      763 3822   14    3        18       0
## 292        151       7 13       410      572 3922   11    1         8       0
## 293        139       6 18      1830     1963 1203   14   12        18       1
## 294        143       5 14       802     1489 2822   15    5        11       1
## 295        108       5  5       311     1294  447   15   13        12       1
## 296        114       7  1        56      997 1652    5    0        20       1
## 297        121       8 19       344      655 3608   15    1        16       0
## 298        181       6  2      1053     1458 1228    8    6         6       1
## 299         80       8 13       221     1243  666   19   10         5       0
## 300        105       7 17       506      519 1499   12    8        19       1
## 301        189       1 19      1728     1767 3321    5    4        14       1
## 302        181       6  7        63      566 1206    7    1         8       0
## 303        113       1 20       418      515  952   19    3        16       1
## 304        117       2 14       854     1168 3927    5    3        15       0
## 305        191       2  8       178      882  311   18    5        19       1
## 306         98       3 20      1869     1942  955   18   11         7       1
## 307         87       3  2       185      776 1109   13    1        19       1
## 308        178       6 20       170      564 2969    8    6        17       0
## 309        177       6 13       454     1975  725   11   10        19       0
## 310        185       4  8       866     1212 1655    7    6        15       1
## 311        180       2  6        44     1118 3490   16   12        13       0
## 312         80       7  2      1331     1388 1774   12    0        10       0
## 313        199       3 14      1285     1462 3615   13    0         6       1
## 314        184       8 17       741     1130  714   18    2        13       1
## 315        155       2  0       520      754 2768   19    2        12       0
## 316        165       8 17       114     1726 3739   14    1        13       1
## 317        170       4  9      1153     1876  610    8    1         6       1
## 318        199       2 13       474      709  715   18    5        20       1
## 319         94       1  8        39      557  663   13   12         7       1
## 320        161       3  8       419     1914 1725   14    5         9       1
## 321        101       2 20       584      775  834   16    0         5       1
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## 1297       137       8  0       358      791 2360    7    4        19       1
## 1298       133       7 11       403     1614 3700   10    0         7       1
## 1299       153       7 20       211     1409 2620    7    5        13       1
## 1300       178       3  3       194     1437  437   14    7        17       1
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## 1390       120       6 10       100     1708  258   14    8         9       1
## 1391       106       5  3      1221     1804 1868   16    7         6       1
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## 1399       157       7  1       318      831 1161   11    8         5       1
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## 1401       133       4  8      1353     1915 3707   19    3        18       1
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## 1421       147       6  7      1094     1496  545   19   18        16       0
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## 1424       183       7  5       394     1301 3442   18   16         5       1
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## 1499       160       3  6       115      636 2110   18    9         6       1
## 1500       176       3  7       356     1407 1921    9    2         3       1
## 1501       107       2 15        10     1567 2423   17   11         6       1
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## 1505       163       6 18       809     1988 3892    5    1         4       1
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## 1507       151       4 16        56      527 2289   10    2        19       1
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## 1511        87       6 17        23      826 2367    5    3        15       1
## 1512       155       4 10       394      849 1919   12   10        20       1
## 1513        84       5 10       713     1742 3296   17    6        14       0
## 1514        81       8 10      1063     1205  462   18    7        11       1
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## 1516       122       2 18       623      816 1593   19   11         2       1
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## 1521        87       1 16       203      915 3563   17   10         3       0
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## 1523       117       2 17      1077     1183 1907   15   14         5       1
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## 1526       169       4 18       570     1645 2738   18   16        12       1
## 1527       156       3  3       742      821 2722   12    6        16       1
## 1528       103       8  6      1420     1539 2294    8    7        20       1
## 1529       193       1 10      1801     1923 1424   18    4        13       1
## 1530       189       8  9      1693     1790 1133   14    3        10       0
## 1531       101       6 11        31     1536  555   19   10        11       1
## 1532       183       6  5      1098     1373 3785   13   10        14       1
## 1533        84       7 19      1765     1786 3675   12    0        12       0
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## 1537        86       3 10         2      660 1853   15   10        18       0
## 1538       138       4 12       202     1787 2648   12    0        19       1
## 1539       160       7 16        90     1614 2647   14   13        20       0
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## 1541       189       2  7        86     1546 1836   12   11        18       1
## 1542       182       5 16      1180     1350 3894   13   10         9       1
## 1543       111       2 19       140     1046 2944   19   17        17       1
## 1544        89       8  8      1100     1437 3424   13   11         9       1
## 1545       177       1  5       194      892 2678    9    4        14       1
## 1546       100       8  8       440      569 2424   12    5         9       1
## 1547        82       6 16      1563     1803 2671   15   10        12       0
## 1548       199       1 10       163     1011 3078   15    2         6       1
## 1549        92       3  1       192     1311 2304   18    4        18       1
## 1550       159       2 18       837     1405 1146    6    1        17       1
## 1551       108       7  1       356      588 2335    6    4         2       1
## 1552       155       7 19       155      663 1422    5    0        15       1
## 1553       140       8  1      1032     1776 2096   15    3         3       0
## 1554       153       6  3        40     1435 1303   17   16         4       1
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## 1559       112       4 19      1385     1780  941   15    8        20       1
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## 1562       191       5  0      1088     1718 2355   17   16         2       1
## 1563       146       1 10       499      695 2328   17   10         2       1
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## 1565       178       6 14       485     1399  558    8    5        13       1
## 1566       124       4  4       571      817 1345   16    0        11       1
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## 1570        93       7 17       944     1003 1208   14   13        17       1
## 1571       124       2  6      1138     1491  267   12   10        16       1
## 1572       113       4 10       161      647 3518    7    3         8       1
## 1573       164       8 14       126     1575 3122    7    0         4       0
## 1574       124       8  2        15     1196 1050   11    9         3       1
## 1575       136       2 13       500     1713 3358   17   11        12       1
## 1576       138       8  3       203     1771 2929   10    4        17       1
## 1577       153       8  5       961     1950  624    9    7        15       1
## 1578       132       1 17       608     1970 1598    7    0         8       0
## 1579       155       5  1       277     1155 2052   17    6        10       1
## 1580       120       6 20       114     1849 1249   16    2         4       1
## 1581       154       2  7       630      738  412   17   11         2       1
## 1582       122       2  1       404     1742  595   19    0         3       0
## 1583       167       7 19       248      755  263    6    5         8       0
## 1584        86       8  0       225     1234 2577   17   16         5       1
## 1585       193       4 10       699      851  639    6    0         3       0
## 1586       141       1 14       649      895 3206   10    9        10       1
## 1587       159       5 15       416     1658 1550    7    2         3       0
## 1588       171       2 12      1310     1420 1646   12    0         6       1
## 1589       200       4 14       930     1983 1930   17    7        15       0
## 1590        87       2  7       835     1175 3695    6    5        18       1
## 1591        87       8 11       664     1806 3235    6    1        10       1
## 1592       191       6 12       460     1583 2334    8    7        14       0
## 1593       187       4 19       778     1615 1998   17    4        17       0
## 1594       142       1  2       225     1545 2258   10    1        10       1
## 1595       121       7 17       785     1118 1869   12    2         7       1
## 1596       127       3 13      1581     1713 1825    7    1         4       1
## 1597       165       5  2         9     1944 3946   12    5        14       1
## 1598       103       7  3         7     1294  436   10    6        15       1
## 1599       112       6  2       174     1175 2678    6    0         8       1
## 1600        80       1 11       437      638 3887    8    6         7       1
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## 1602       134       2 10      1288     1372  817   14    1        16       1
## 1603       101       1 17       979     1190 3614   15   12         9       1
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## 1605       154       5 17       913     1429  543    8    7        18       0
## 1606       174       8 13       282      710 3400   16    6        13       0
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## 1611       175       5 17       655     1459 2803   19    9         6       1
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## 1613       191       6 15        68     1042 3564    7    2         2       1
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## 1615       117       3  7       922     1836 3654   13    9        10       1
## 1616       135       8 19      1874     1976 3930   17    1        18       1
## 1617        89       7 19       251      599 3476   11    8        17       1
## 1618       192       1 12      1362     1853 3242   18   11         4       1
## 1619        82       6  8       281     1159 2666    5    4        20       1
## 1620        97       8  7       224     1994 1695   13    6        17       1
## 1621       189       3  1       778      844 3510   14    4        18       1
## 1622       161       8 20       546     1424 3438   14    3        20       0
## 1623        97       4 10       397      891 2033   16    9         2       1
## 1624       182       1  2       386     1046 1017   11    3         9       1
## 1625       193       2 10       214     1970 1686    8    1         8       1
## 1626       135       5 12       461      833  862    7    0        20       1
## 1627        81       5 14       125      675  957    6    5        11       1
## 1628        89       4 12       335     1009 3494   13    3        14       0
## 1629       165       4 13       342     1641 3083    8    4        11       1
## 1630       131       6 14       625      761 1656    8    4        15       1
## 1631       165       2 12       494      509  313   15    1        19       1
## 1632       179       8  6      1145     1487 3282   16    2        18       1
## 1633       186       6  4       600     1042 3629   19   17         5       0
## 1634       169       2 14       484      711 1687   15    5         5       1
## 1635       182       4 20       199      679 1149    8    7        18       1
## 1636       104       3  7        21      832 3899    5    4         6       1
## 1637       134       2 13       885     1811 1783   13   12        10       1
## 1638       189       5 13       308     1208 1629    8    6        11       1
## 1639       185       1  7      1015     1947 2528   11    8         8       0
## 1640        88       7  2      1303     1814 3256    9    6         5       1
## 1641       180       8 17       406     1036 2341   10    9        16       0
## 1642       151       1 12       124      833 2785   15   10        16       1
## 1643       164       3 17       150     1677 3761   13    1        12       1
## 1644       199       6 16       108     1963 1513   15    6         2       1
## 1645       167       2  7        90      557 2240   10    6         5       1
## 1646       194       4  1       588     1809  820   19   18         3       1
## 1647       159       2  3      1028     1196 1875   16    8         8       1
## 1648       157       3 17       776     1247  920   16    2        10       1
## 1649       174       4 14       278      584 3615   18    8        13       1
## 1650        88       7  3       897     1103 1412   16    9         5       0
## 1651       136       1 13       651      700  361    6    1        10       0
## 1652        81       4  8      1010     1684 1540   12    8         3       1
## 1653       109       2  9       737     1759 1077    6    1         4       1
## 1654        93       5  1      1399     1646 3610   13    7         9       0
## 1655       158       6 18       376     1288  512    5    2         6       0
## 1656       114       8 20      1117     1330 3024    6    0        20       0
## 1657       134       1 17       234     1947 1610   11    0        16       1
## 1658       175       1 19       691     1028 2201   17   16        12       1
## 1659       162       7 15       380     1550 3338   18   13        11       1
## 1660       196       4  9       603     1483 3473    7    3         4       0
## 1661       114       8 17       117      681 2203    7    5        15       1
## 1662       155       4 11       766      877  940   14   10        15       1
## 1663       146       8  9      1499     1952 1155   19   14        12       0
## 1664        93       4  0      1175     1578 3872   10    2         7       0
## 1665       115       6  6       988     1503 1882   16    6        10       1
## 1666       119       8 19       190     1905 1798   16    7        10       1
## 1667        96       6  3       674     1375 2598   17    2         3       1
## 1668       199       1  7       518     1374 1567   15    2         7       1
## 1669       125       1 20      1618     1916 1491   16    2        14       1
## 1670       120       2  7       857      989 2003   12    4         3       1
## 1671       190       4  6       371      665 3905    6    2         4       1
## 1672       111       5 10        73      583  291   19    9        11       1
## 1673       118       8 13        98      755 1693   11    4        18       1
## 1674       152       4  9       395     1853 1788   13   11        13       1
## 1675       112       6  5      1064     1540 3322   18    7        20       0
## 1676        80       6  1       712     1726 1751   12   10        20       1
## 1677       117       1 14       774      939 1641   14    8        12       1
## 1678       178       7  7      1012     1040 2854   10    7        12       1
## 1679       101       4  9       730     1148 3115    7    0         2       1
## 1680       121       1  9       777     1090 3259   10    1        14       1
## 1681       172       8  6       973     1633 1612   17    9        17       1
## 1682       127       4  0       245      829 2319    5    4         4       0
## 1683       138       5  4       937     1083 1258   17   14        16       1
## 1684       158       5  5       937     1164 1543   18    3        10       0
## 1685       178       2 15       574     1171 3991   12    4        19       1
## 1686       143       1  9       678     1630 3555    5    2        19       1
## 1687        87       4 18        82      512 3411   17   16        18       1
## 1688       190       8 19       398     1775  524    9    3         4       0
## 1689       142       6 14      1096     1570 3541   18   17         4       1
## 1690       169       6  7      1419     1698 1998    9    2         4       0
## 1691       200       5  0       157      770 3437   11    1         2       1
## 1692       114       2  8       430     1207 1637   17    3        11       1
## 1693       153       1 14      1524     1848 3064    7    6         3       1
## 1694       196       2 19      1649     1829 2855   16   13         7       1
## 1695       106       1 12       254      954 1393    9    4         4       1
## 1696       138       7 10      1790     1988 1633   18    4         4       1
## 1697       127       4  5      1438     1832 2392   10    4        15       1
## 1698        82       2  0      1304     1673 3284   15    2         8       1
## 1699       117       6  9       813     1180  464    7    5        16       1
## 1700       180       7  7       948     1007 1234   19   13        18       1
## 1701       139       3  1      1161     1288  292    8    0         6       1
## 1702       174       3  9       867     1258 2521    6    5        16       1
## 1703       180       5  0       181     1199 2658   15    0        19       1
## 1704        91       4  9       754     1532  587    6    3        13       0
## 1705       118       4 16       242     1127 2190   18    1         9       1
## 1706       110       4 20       405      742  879   16    2         8       1
## 1707        80       1 13      1569     1763 1743    7    1         9       0
## 1708       156       4 20       105     1099 1181   16    0        18       1
## 1709       181       7 12       978     1986 3330   14    4        15       1
## 1710       153       8 16       725     1882 3564   12    1        17       1
## 1711       146       4 14       657     1657  562   17   14         8       1
## 1712        82       4  1      1147     1393 1659   11   10        11       1
## 1713       183       8 11       910     1566 1816   12    7         7       0
## 1714       156       5  9       295      503 1338   16    8         5       1
## 1715       131       8 12        26      508 2992   15    3        17       1
## 1716        85       8 20       332      764  315   16    7         7       1
## 1717       197       7  3       519      533 3249   19    0        12       0
## 1718       200       4  1       161     1029 3242   10    1        20       0
## 1719       194       4  6      1080     1289 2725   15   10         7       0
## 1720       145       4  2       649     1290  586   19    8        19       1
## 1721        89       3  8        71     1686 2454    9    8        13       1
## 1722       147       4 20       744     1244  804   17   14        16       0
## 1723       148       7 14       437     1113 2460   10    5        18       1
## 1724       146       1 10       115     1111 1295   18   15        17       1
## 1725       139       5  3       547      957 2625   15   11        12       1
## 1726       177       2 19       495     1035 1999   15    9         2       1
## 1727       153       2  7      1466     1717 2698   11    8         6       1
## 1728       129       6 16       117     1115 3742   13    3        13       1
## 1729       158       5  3       760     1722 1193   16   13        20       1
## 1730       129       7 16       764     1873 3511   16   14        15       1
## 1731       192       2  8       776     1005  885   11    1        14       1
## 1732       167       5  7        53     1504 1044    8    7        11       1
## 1733       194       5 19       371     1702 2548    6    1         5       1
## 1734       132       2  1       728      818 2940   13    0        15       1
## 1735       199       5  7      1791     1896 3966   17   15         2       1
## 1736       121       8 20       606     1316 3484   11   10        16       1
## 1737        90       1  3      1225     1717 1246   12    2        20       0
## 1738        83       3  8       419      736 2757   17   12        15       1
## 1739       136       3 18       367     1264 2378   18    3         4       1
## 1740       104       6  5      1230     1263 1794   18    7        19       1
## 1741       187       8 18       267     1161 3933    7    0         7       1
## 1742       186       6 10       273      891 1637    7    3         6       1
## 1743       110       8  8       705     1905  783    6    1        11       1
## 1744       182       5  6       214      679 3094   12    4        20       0
## 1745       130       8  0       424     1032 1774   12    8        10       1
## 1746       161       7 14        84      793  256   18    7         2       1
## 1747        86       2  9       605     1429 1365    9    3        16       1
## 1748       188       3 20      1175     1586 2339   19    2        10       1
## 1749       129       2  6       657      938 2049   12    8         5       1
## 1750       158       5  1       371     1023 3241   14   11        11       1
## 1751        80       4 11       833     1441  867    8    3         3       1
## 1752        82       5  9       102     1195 2175   14    4        14       0
## 1753       121       2  9      1299     1935 3497   18   10        18       0
## 1754       104       4  3       258     1889  609   11    3         5       1
## 1755       111       6  1        56     1150 3285   11    5        17       1
## 1756       157       1  3       443      708 3684   15    8         6       1
## 1757       181       6  6      1279     1793 3586   19    9         8       0
## 1758        92       4  9       313      712 2322   19    8         7       1
## 1759       180       2 10       523      565  354   10    4        13       1
## 1760       128       4  4       919     1482 3204   18    1         9       1
## 1761       139       3  3       570     1021 1400   17    7         3       0
## 1762       198       8  6       380      682 2308   11   10         9       1
## 1763       105       8 15       119      529 1082   15    5        10       1
## 1764       164       2 17       296      839 3104   17    7        11       0
## 1765        82       2  8       358      614 2847    9    2         4       1
## 1766        88       8 11      1364     1851 2256    6    1        19       0
## 1767       106       7 13       424     1639 1113   14    1         6       0
## 1768       150       6 19       961     1030 3210   10    3         8       1
## 1769       113       6  9       431     1727 3990   14    9        12       1
## 1770       105       7 10       950     1739  984   17    4         9       1
## 1771       123       8 19       647     1849 3117    6    0         2       1
## 1772       111       7  2      1960     1963 1622   18   17        16       1
## 1773       105       3  7       116     1432 2967    7    3         7       1
## 1774       138       3  4       306      538 1037   15    3        15       1
## 1775        89       8 10       808     1517 2908   12    4        11       0
## 1776       126       2  3        94     1334 1167    5    3        19       1
## 1777       114       8 16       380      877 2715   15    9        16       0
## 1778       119       7  4       593      732 1734   17    8        14       0
## 1779        85       3  7      1684     1746 2259   14   12        19       0
## 1780       125       3  0      1221     1415 2921    8    5        17       0
## 1781       146       3  9       410     1643 1244   14   10        16       0
## 1782        98       3 19       600     1211 3132   17    0         2       1
## 1783       106       5  4       189     1411 2488    8    4         8       1
## 1784       133       6 16       308      591 1052   11    9        11       1
## 1785       152       2 15       148      742 2927   15    6         3       1
## 1786       136       4  6       297      918 2090    5    1        13       1
## 1787       190       4 16      1050     1726 2131    7    2         6       1
## 1788       117       1 11      1191     1882 3362   13   10        11       1
## 1789        80       4 18      1399     1663 1053   14   11        16       1
## 1790        88       8  2      1658     1794 1799   16    9         7       0
## 1791       109       5 20      1153     1817 3124    5    0        13       1
## 1792       109       2 12        35      510 1672   17   13        19       1
## 1793       100       4  7       553      874 1552   10    8        10       1
## 1794        83       6  6        46      908 1938   19    8         5       1
## 1795       129       2  9       207     1177 3202   13    1        14       1
## 1796       128       1 11        67     1924 1302   13    7        13       0
## 1797       179       4  2       818     1006 2296   12    0         5       1
## 1798       152       7  9      1257     1411  575   15    8         7       1
## 1799        93       6 20       138     1371 2359   13    6         3       0
## 1800       167       5 18        11     1020 3314    6    5         6       1
## 1801       147       3  1       889     1635  440   14   10        13       1
## 1802       173       6 10       831     1709 2002   17    8         5       1
## 1803       161       6 17       713     1854 3167   14    8        20       1
## 1804        82       2  6       527     1393 3480   17   16        17       1
## 1805       107       2 19      1284     1643  595   10    0        19       1
## 1806        85       5 16       911     1220 2466    5    3        18       0
## 1807        87       6  6      1047     1534 1337   12    7        14       0
## 1808        98       1 17       123     1477 1462   19   18        13       1
## 1809       112       8  0       406      681  503    7    3         5       1
## 1810       197       7  8       927     1135 2066    9    0        15       0
## 1811       196       5  2       407      528  708   17    5        17       0
## 1812       103       7  2      1041     1430 2029   10    5        12       1
## 1813       121       5  1       781     1364  308   19   17         7       1
## 1814       195       4 16      1191     1839  552    6    1        11       0
## 1815        89       2  8       103     1760 2082   15   10        12       1
## 1816       141       5  7       125     1227 3314    9    7        17       0
## 1817       199       4  4       919     1343 3996   12    9        17       1
## 1818       109       4 10       536     1656 1795    7    3         4       1
## 1819       104       5 15       638     1831  594   16    6        20       1
## 1820       155       5 12       639     1087 2473   10    4         9       1
## 1821       185       5  2       496     1804  690    5    2        15       1
## 1822       157       2 17       686     1418 3845   15    1         4       1
## 1823       195       7  0      1064     1985 2004   11    8         9       1
## 1824       102       5 16       240     1414 2083   19   15        20       0
## 1825        83       6 14       525      704 2661    9    7         4       1
## 1826       124       3 10       348      730 1903    8    4        14       0
## 1827       196       1 14      1262     1520 2466    8    0         5       1
## 1828       106       1 17      1899     1904 3779    9    3         7       1
## 1829       139       3 17       258      789 3904    5    1         7       1
## 1830       162       6  8      1188     1948  265    8    0        12       1
## 1831       200       1 12       730      751 1417   10    4        19       1
## 1832       197       7 12       484     1238 1769   10    1        16       1
## 1833       171       1  2       547     1852 2948   12    3         5       0
## 1834       152       3 16       800     1455 2572   16    5        16       1
## 1835       150       7  4       347      513 3267   17    9        19       1
## 1836       168       4  7       679     1231 1459   15    3         2       1
## 1837        94       8  6      1224     1676 1633   15   10         5       1
## 1838       130       4 11       948     1205 2052    5    3         6       1
## 1839       165       4 14       366     1234 1086   14    7         3       1
## 1840       169       2  3       223     1777 2402   12   10        14       1
## 1841       108       2  2      1619     1962 3376    7    0         7       0
## 1842       103       7 10       332      970 1507    5    0         4       0
## 1843       158       3  7       167      909  641    9    1         8       1
## 1844       131       1 19       782      951 3451    5    2        17       1
## 1845       189       7  9       881     1129 1607   15    0        10       1
## 1846       101       1  4        91     1317 3521   15   11         9       1
## 1847       147       2  6       487      722 1241    9    0        16       1
## 1848       137       7 15       120     1429  881    6    3        17       0
## 1849       170       7  8      1626     1913 2563   18   14        15       1
## 1850       123       3 14        74      865 3033   14   11        17       0
## 1851       132       7 10       634     1079  769   19   13         3       1
## 1852       131       4 14       334     1079 3454   17   11         2       1
## 1853       195       4  4       931     1811  819   10    3         4       1
## 1854       185       6 19       921     1351  435   12    9         3       0
## 1855       150       7  3       805      956  586   10    9         4       0
## 1856       125       6 19      1057     1931  650   17    0        10       1
## 1857       115       4 15       616      912 3038   18    0        14       1
## 1858       198       5  4       740      840 3736   14    8         5       1
## 1859       117       1 13       542      678 2948    8    3         3       1
## 1860       190       7 12       344     1551  739   18    1         2       1
## 1861       200       2  5       211     1608  686    8    6        11       1
## 1862       164       2 20        79      615  841   13   10        11       0
## 1863        83       8 17       887      893 1183    5    3         8       1
## 1864       131       3  8       670     1152 3943   13    0         4       1
## 1865       109       7 20       383     1249 1037    6    4        15       1
## 1866       114       4 20       718     1109 2633   16    0         9       1
## 1867       160       3 12       144      896 3911   13    6         8       0
## 1868       158       7 13      1442     1904 1958    7    5         2       1
## 1869       122       8  4       291     1318 3297    7    5        16       1
## 1870       170       3 16      1352     1775 3141    6    2        11       1
## 1871       174       6 15       209      725 3351   12    9        19       0
## 1872       100       7 20       861     1888 2355   14    7         6       1
## 1873       105       3  0       426     1629 1308    5    0         2       1
## 1874       127       5  8       266      642  991   14    8         7       1
## 1875       173       8  2       523      542 3248    8    6         6       1
## 1876       137       4  7        40     1311 1519   13    0         2       0
## 1877        88       6  1       262     1436  493   18    9        10       1
## 1878       114       6  0       623      769 1747    7    0        14       0
## 1879        94       4  0         4     1351 2517   16    8         7       1
## 1880       187       1  4      1001     1176 1389   17    8         8       1
## 1881       188       5 20       334      896 2522   10    5         2       1
## 1882       116       5 16       453      963 1885   10    9         7       1
## 1883       196       7 20       952     1726  704   14    5         4       1
## 1884       163       6 10       321     1870  953   18   11        20       0
## 1885       108       1 18      1451     1469 3206   16   15         4       0
## 1886        94       1 14      1048     1123  928   12   10         9       0
## 1887       101       4 20       398      724 2177   12    2        17       0
## 1888       187       3  1       417      520 2610   10    1        11       1
## 1889       186       7 20       470      844  489    9    4         2       1
## 1890       128       8  8      1217     1670 3839   17    3        11       1
## 1891       181       1 13       298     1037 1861    8    5        17       1
## 1892       176       2  6        36      642  299    6    2        10       0
## 1893       182       2 12        85     1451  340   16    5        16       1
## 1894       102       5 18       655     1255 3606   10    0         5       1
## 1895        91       4  4       167      990  799    7    3         9       1
## 1896       134       6 12       212      623 2367   11    7        10       1
## 1897       123       3  9       617     1386  445   10    8        10       1
## 1898       122       1 16       271     1769 3927    8    3         7       1
## 1899       157       5  9       159     1738 3756   17    5        12       1
## 1900       162       4 20       786      872  770   14    1        15       0
## 1901       138       1  9        46      562 1641    7    2        13       1
## 1902       197       8  2       645     1275 2343   17   12        15       1
## 1903       122       4 15      1371     1677 2787   10    8         7       1
## 1904       169       5  2       881     1382 2495    8    7        16       0
## 1905       158       5  4       449      790 3208   11    9         4       1
## 1906       146       7 11       338      534 1234    7    4        14       1
## 1907        97       8  0      1332     1814 1069    7    6         7       1
## 1908       130       5 11       119     1531 3568   16   14         3       0
## 1909       103       5 11       256      823 3585   10    1        10       1
## 1910       155       4 10       428     1254 1974   14    1        18       1
## 1911       111       3 14      1546     1879 2419   15    5        19       0
## 1912        97       2  0      1210     1989  340   17   13         4       1
## 1913       169       8  8       789     1211 2282    5    2        17       1
## 1914       132       4 11       390      756  298   10    1        10       1
## 1915       162       2  8       110     1317  968    6    2         2       1
## 1916       153       3 18      1330     1686 2391   12    6         3       1
## 1917       168       2 10       674     1455 1534    6    2        17       1
## 1918       101       7  9       253      590  696   14    7         3       1
## 1919        97       7 11       317     1805 2782    7    0        17       1
## 1920       136       2  7       183      661  755   18    3         9       1
## 1921        90       6 17       892     1603 3746    5    0         5       1
## 1922       124       1  1       388      605 2651   17    7         4       0
## 1923       124       8 11        52      539 1341   19    1        12       1
## 1924       101       3 11       914      979 2651   15    5         3       1
## 1925        80       5 20       287      593 1824   13    3        14       1
## 1926       160       6  6       773     1353 1905   16    3        19       1
## 1927       156       7 14       675     1163 1456    9    3        20       1
## 1928       153       7  8       367     1985 3155   11   10         7       1
## 1929        93       3 15       510      980  773   17    7         2       1
## 1930        99       7  7      1325     1800 1829   18   17        13       1
## 1931       163       8  7      1661     1836 3883   12    2         5       1
## 1932       195       1  0       665      718 1675   14   12         9       1
## 1933        93       3 12       662      997 1601   10    9        12       1
## 1934       154       8 10         0      994 1958    7    5         7       1
## 1935       107       4  7       284     1036 2376   19    6        11       0
## 1936       110       2 12       661     1951 1647   12    2         3       1
## 1937       157       5 15       757     1912 3548   14    4         5       0
## 1938       134       4 15       560     1177 2694   18    3        19       0
## 1939       178       1  8       470      775 2195    5    4         4       1
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## 1977            1    1       low cost
## 1978            1    0      high cost
## 1979            0    0    medium cost
## 1980            0    0    medium cost
## 1981            1    1    medium cost
## 1982            0    1    medium cost
## 1983            1    0      high cost
## 1984            1    1      high cost
## 1985            0    0    medium cost
## 1986            1    1 very high cost
## 1987            0    0    medium cost
## 1988            1    0       low cost
## 1989            1    1    medium cost
## 1990            0    0    medium cost
## 1991            0    0       low cost
## 1992            1    0 very high cost
## 1993            1    1       low cost
## 1994            1    1 very high cost
## 1995            1    0 very high cost
## 1996            1    0       low cost
## 1997            1    1      high cost
## 1998            1    0 very high cost
## 1999            1    1       low cost
## 2000            1    1 very high cost

memastikan price_range adalah factor ordinal

dataset$price_range <- factor(dataset$price_range, ordered = TRUE)

mengambil variabel numerik saja untuk PCA

num_vars <- dataset %>% select_if(is.numeric)

standarisasi

num_scaled <- scale(num_vars)

#Train-Test Split

set.seed(123) 
train_index <- createDataPartition(dataset$price_range, p = 0.8, list = FALSE)
train_data <- dataset[train_index, ]
test_data  <- dataset[-train_index, ]

#PCA

train_num <- train_data %>% select_if(is.numeric)
train_scaled <- scale(train_num)

pca_model <- prcomp(train_scaled, center = TRUE, scale. = TRUE)
summary(pca_model)
## Importance of components:
##                           PC1    PC2    PC3     PC4     PC5     PC6     PC7
## Standard deviation     1.2948 1.2465 1.2084 1.03104 1.01890 1.01806 1.00530
## Proportion of Variance 0.1197 0.1110 0.1043 0.07593 0.07415 0.07403 0.07219
## Cumulative Proportion  0.1197 0.2307 0.3350 0.41097 0.48512 0.55916 0.63134
##                            PC8     PC9    PC10    PC11    PC12    PC13    PC14
## Standard deviation     0.99505 0.98416 0.98057 0.94678 0.70256 0.70026 0.60054
## Proportion of Variance 0.07072 0.06918 0.06868 0.06403 0.03526 0.03503 0.02576
## Cumulative Proportion  0.70207 0.77125 0.83993 0.90396 0.93921 0.97424 1.00000

mengambil 10 komponen karena sudah menjelaskan 84% variasi data

train_pca <- as.data.frame(pca_model$x[, 1:10])
train_pca$price_range <- train_data$price_range

Transform test set menggunakan PCA yang sama

test_num <- test_data %>% select_if(is.numeric)

# standardisasi 
test_scaled <- scale(test_num, 
                     center = attr(train_scaled, "scaled:center"), 
                     scale  = attr(train_scaled, "scaled:scale"))

test_pca_data <- as.data.frame(predict(pca_model, newdata = test_scaled)[, 1:10])

label_mapping <- c("low cost", "medium cost", "high cost", "very high cost")

test_pca_data$price_range <- factor(test_data$price_range, 
                                    levels = label_mapping, 
                                    ordered = TRUE)

Uji Asumsi

library(MVN)
## Warning: package 'MVN' was built under R version 4.4.3
levels <- unique(train_pca$price_range)

for (lvl in levels) {
  cat("Uji normalitas multivariat untuk kelas:", lvl, "\n")
  
  class_data <- train_pca[train_pca$price_range == lvl, 1:10]

  result <- mvn(data = class_data, mvnTest = "mardia")
  
  print(result$multivariateNormality)
  cat("\n")
}
## Uji normalitas multivariat untuk kelas: high cost 
##              Test         Statistic             p value Result
## 1 Mardia Skewness  214.414059101043   0.593567015735671    YES
## 2 Mardia Kurtosis -4.98500278175753 6.1960921460269e-07     NO
## 3             MVN              <NA>                <NA>     NO
## 
## Uji normalitas multivariat untuk kelas: medium cost 
##              Test         Statistic              p value Result
## 1 Mardia Skewness  226.555253324814    0.366488072087657    YES
## 2 Mardia Kurtosis -5.93464234229651 2.94486746099665e-09     NO
## 3             MVN              <NA>                 <NA>     NO
## 
## Uji normalitas multivariat untuk kelas: low cost 
##              Test         Statistic              p value Result
## 1 Mardia Skewness  243.171996564766    0.135745026806791    YES
## 2 Mardia Kurtosis -5.66158370066041 1.49982319896935e-08     NO
## 3             MVN              <NA>                 <NA>     NO
## 
## Uji normalitas multivariat untuk kelas: very high cost 
##              Test         Statistic              p value Result
## 1 Mardia Skewness  267.249523888146    0.016171912476074     NO
## 2 Mardia Kurtosis -6.45735680270698 1.06547437539461e-10     NO
## 3             MVN              <NA>                 <NA>     NO
library(biotools)
## Warning: package 'biotools' was built under R version 4.4.3
## ---
## biotools version 4.3
# hanya data numerik dan label target
X <- train_pca[, -which(names(train_pca) == "price_range")]
Y <- as.factor(train_pca$price_range)

boxM(X, Y)
## 
##  Box's M-test for Homogeneity of Covariance Matrices
## 
## data:  X
## Chi-Sq (approx.) = 296.26, df = 165, p-value = 1.57e-09
library(MASS)
model_lda <- lda(price_range ~ ., data = train_pca)
pred <- predict(model_lda, newdata = test_pca_data)$class
label_mapping <- c("low cost", "medium cost", "high cost", "very high cost")

pred_label <- factor(pred, levels = label_mapping, ordered = TRUE)

#Evaluasi

conf <- confusionMatrix(pred, test_pca_data$price_range)
print(conf)
## Confusion Matrix and Statistics
## 
##                 Reference
## Prediction       low cost medium cost high cost very high cost
##   low cost             90           7         0              0
##   medium cost          10          78        19              0
##   high cost             0          15        69             10
##   very high cost        0           0        12             90
## 
## Overall Statistics
##                                           
##                Accuracy : 0.8175          
##                  95% CI : (0.7761, 0.8541)
##     No Information Rate : 0.25            
##     P-Value [Acc > NIR] : < 2.2e-16       
##                                           
##                   Kappa : 0.7567          
##                                           
##  Mcnemar's Test P-Value : NA              
## 
## Statistics by Class:
## 
##                      Class: low cost Class: medium cost Class: high cost
## Sensitivity                   0.9000             0.7800           0.6900
## Specificity                   0.9767             0.9033           0.9167
## Pos Pred Value                0.9278             0.7290           0.7340
## Neg Pred Value                0.9670             0.9249           0.8987
## Prevalence                    0.2500             0.2500           0.2500
## Detection Rate                0.2250             0.1950           0.1725
## Detection Prevalence          0.2425             0.2675           0.2350
## Balanced Accuracy             0.9383             0.8417           0.8033
##                      Class: very high cost
## Sensitivity                         0.9000
## Specificity                         0.9600
## Pos Pred Value                      0.8824
## Neg Pred Value                      0.9664
## Prevalence                          0.2500
## Detection Rate                      0.2250
## Detection Prevalence                0.2550
## Balanced Accuracy                   0.9300

Cohen’s Kappa

kappa_val <- kappa2(data.frame(pred, test_pca_data$price_range), "unweighted")
print(kappa_val)
##  Cohen's Kappa for 2 Raters (Weights: unweighted)
## 
##  Subjects = 400 
##    Raters = 2 
##     Kappa = 0.757 
## 
##         z = 26.2 
##   p-value = 0

#MAE kategori

mae_cat <- mean(abs(as.numeric(pred) - as.numeric(test_pca_data$price_range)))
cat("MAE Kategori:", round(mae_cat, 3), "\n")
## MAE Kategori: 0.182
label_levels <- levels(train_pca$price_range)

pred_train <- predict(model_lda, newdata = train_pca)$class
pred_train <- factor(pred_train, levels = label_levels, ordered = TRUE)

conf_train <- confusionMatrix(pred_train, train_pca$price_range)
cat("Akurasi Data Train:", round(conf_train$overall["Accuracy"], 4), "\n")
## Akurasi Data Train: 0.8531
conf_test <- confusionMatrix(pred, test_pca_data$price_range)
cat("Akurasi Data Test :", round(conf_test$overall["Accuracy"], 4), "\n")
## Akurasi Data Test : 0.8175