In-class Exercise 4

Published

February 4, 2023

Modified

February 13, 2023

pacman::p_load(plotly, DT, patchwork, tidyverse, ggstatsplot, readxl, performance, parameters, see)

exam_data <- read_csv("data/Exam_data.csv")

plot_ly(data = exam_data, 
        x = ~ENGLISH, 
        y = ~MATHS, 
        color = ~RACE) #<<

p <- ggplot(data=exam_data, 
            aes(x = MATHS,
                y = ENGLISH)) +
  geom_point(dotsize = 1) +
  coord_cartesian(xlim=c(0,100),
                  ylim=c(0,100))
ggplotly(p)

ggplot(data=exam_data, 
            aes(x = MATHS,
                y = ENGLISH)) +
  geom_point(dotsize = 1) +
  coord_cartesian(xlim=c(0,100),
                  ylim=c(0,100))

ggbetweenstats(
  data = exam_data,
  x = GENDER, 
  y = MATHS,
  type = "p",
  messages = FALSE
)

ggscatterstats(
  data = exam_data,
  x = MATHS,
  y = ENGLISH,
  marginal = TRUE,
  )

car_resale <- read_xls("data/ToyotaCorolla.xls", 
                       "data")
car_resale

# A tibble: 1,436 × 38
      Id Model       Price Age_0…¹ Mfg_M…² Mfg_Y…³     KM Quart…⁴ Weight Guara…⁵
   <dbl> <chr>       <dbl>   <dbl>   <dbl>   <dbl>  <dbl>   <dbl>  <dbl>   <dbl>
 1    81 TOYOTA Cor… 18950      25       8    2002  20019     100   1180       3
 2     1 TOYOTA Cor… 13500      23      10    2002  46986     210   1165       3
 3     2 TOYOTA Cor… 13750      23      10    2002  72937     210   1165       3
 4     3  TOYOTA Co… 13950      24       9    2002  41711     210   1165       3
 5     4 TOYOTA Cor… 14950      26       7    2002  48000     210   1165       3
 6     5 TOYOTA Cor… 13750      30       3    2002  38500     210   1170       3
 7     6 TOYOTA Cor… 12950      32       1    2002  61000     210   1170       3
 8     7  TOYOTA Co… 16900      27       6    2002  94612     210   1245       3
 9     8 TOYOTA Cor… 18600      30       3    2002  75889     210   1245       3
10    44 TOYOTA Cor… 16950      27       6    2002 110404     234   1255       3
# … with 1,426 more rows, 28 more variables: HP_Bin <chr>, CC_bin <chr>,
#   Doors <dbl>, Gears <dbl>, Cylinders <dbl>, Fuel_Type <chr>, Color <chr>,
#   Met_Color <dbl>, Automatic <dbl>, Mfr_Guarantee <dbl>,
#   BOVAG_Guarantee <dbl>, ABS <dbl>, Airbag_1 <dbl>, Airbag_2 <dbl>,
#   Airco <dbl>, Automatic_airco <dbl>, Boardcomputer <dbl>, CD_Player <dbl>,
#   Central_Lock <dbl>, Powered_Windows <dbl>, Power_Steering <dbl>,
#   Radio <dbl>, Mistlamps <dbl>, Sport_Model <dbl>, Backseat_Divider <dbl>, …

model <- lm(Price ~ Age_08_04 + Mfg_Year + KM + 
              Weight + Guarantee_Period, data = car_resale)
model


Call:
lm(formula = Price ~ Age_08_04 + Mfg_Year + KM + Weight + Guarantee_Period, 
    data = car_resale)

Coefficients:
     (Intercept)         Age_08_04          Mfg_Year                KM  
      -2.637e+06        -1.409e+01         1.315e+03        -2.323e-02  
          Weight  Guarantee_Period  
       1.903e+01         2.770e+01

check_c <- check_collinearity(model)
plot(check_c)

model1 <- lm(Price ~ Age_08_04 + KM + 
              Weight + Guarantee_Period, data = car_resale)

check_n <- check_normality(model1)
plot(check_n)

my_sum <- exam_data %>%
  group_by(RACE) %>%
  summarise(
    n=n(),
    mean=mean(MATHS),
    sd=sd(MATHS)
    ) %>%
  mutate(se=sd/sqrt(n-1))
knitr::kable(head(my_sum), format = 'html')

RACE	n	mean	sd	se
Chinese	193	76.50777	15.69040	1.132357
Indian	12	60.66667	23.35237	7.041005
Malay	108	57.44444	21.13478	2.043177
Others	9	69.66667	10.72381	3.791438

ggplot(my_sum) +
  geom_errorbar(
    aes(x=RACE, 
        ymin=mean-se, 
        ymax=mean+se), 
    width=0.2, 
    colour="black", 
    alpha=0.9, 
    size=0.5) +
  geom_point(aes
           (x=RACE, 
            y=mean), 
           stat="identity", 
           color="red",
           size = 1.5,
           alpha=1) +
  ggtitle("Standard error of mean 
          maths score by rac")