1 Install and Import Necessary Package

install.packages("dplyr")
## The following package(s) will be installed:
## - dplyr [1.1.4]
## These packages will be installed into "~/Documents/ManDaRel/mandarel uas/renv/library/macos/R-4.4/aarch64-apple-darwin20".
## 
## # Installing packages --------------------------------------------------------
## - Installing dplyr ...                          OK [linked from cache]
## Successfully installed 1 package in 3.9 milliseconds.
install.packages("ggplot2")
## The following package(s) will be installed:
## - ggplot2 [3.5.1]
## These packages will be installed into "~/Documents/ManDaRel/mandarel uas/renv/library/macos/R-4.4/aarch64-apple-darwin20".
## 
## # Installing packages --------------------------------------------------------
## - Installing ggplot2 ...                        OK [linked from cache]
## Successfully installed 1 package in 2.6 milliseconds.
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(ggplot2)
library(datasets)

2 Import Data

data(mtcars)
mtcars
##                      mpg cyl  disp  hp drat    wt  qsec vs am gear carb
## Mazda RX4           21.0   6 160.0 110 3.90 2.620 16.46  0  1    4    4
## Mazda RX4 Wag       21.0   6 160.0 110 3.90 2.875 17.02  0  1    4    4
## Datsun 710          22.8   4 108.0  93 3.85 2.320 18.61  1  1    4    1
## Hornet 4 Drive      21.4   6 258.0 110 3.08 3.215 19.44  1  0    3    1
## Hornet Sportabout   18.7   8 360.0 175 3.15 3.440 17.02  0  0    3    2
## Valiant             18.1   6 225.0 105 2.76 3.460 20.22  1  0    3    1
## Duster 360          14.3   8 360.0 245 3.21 3.570 15.84  0  0    3    4
## Merc 240D           24.4   4 146.7  62 3.69 3.190 20.00  1  0    4    2
## Merc 230            22.8   4 140.8  95 3.92 3.150 22.90  1  0    4    2
## Merc 280            19.2   6 167.6 123 3.92 3.440 18.30  1  0    4    4
## Merc 280C           17.8   6 167.6 123 3.92 3.440 18.90  1  0    4    4
## Merc 450SE          16.4   8 275.8 180 3.07 4.070 17.40  0  0    3    3
## Merc 450SL          17.3   8 275.8 180 3.07 3.730 17.60  0  0    3    3
## Merc 450SLC         15.2   8 275.8 180 3.07 3.780 18.00  0  0    3    3
## Cadillac Fleetwood  10.4   8 472.0 205 2.93 5.250 17.98  0  0    3    4
## Lincoln Continental 10.4   8 460.0 215 3.00 5.424 17.82  0  0    3    4
## Chrysler Imperial   14.7   8 440.0 230 3.23 5.345 17.42  0  0    3    4
## Fiat 128            32.4   4  78.7  66 4.08 2.200 19.47  1  1    4    1
## Honda Civic         30.4   4  75.7  52 4.93 1.615 18.52  1  1    4    2
## Toyota Corolla      33.9   4  71.1  65 4.22 1.835 19.90  1  1    4    1
## Toyota Corona       21.5   4 120.1  97 3.70 2.465 20.01  1  0    3    1
## Dodge Challenger    15.5   8 318.0 150 2.76 3.520 16.87  0  0    3    2
## AMC Javelin         15.2   8 304.0 150 3.15 3.435 17.30  0  0    3    2
## Camaro Z28          13.3   8 350.0 245 3.73 3.840 15.41  0  0    3    4
## Pontiac Firebird    19.2   8 400.0 175 3.08 3.845 17.05  0  0    3    2
## Fiat X1-9           27.3   4  79.0  66 4.08 1.935 18.90  1  1    4    1
## Porsche 914-2       26.0   4 120.3  91 4.43 2.140 16.70  0  1    5    2
## Lotus Europa        30.4   4  95.1 113 3.77 1.513 16.90  1  1    5    2
## Ford Pantera L      15.8   8 351.0 264 4.22 3.170 14.50  0  1    5    4
## Ferrari Dino        19.7   6 145.0 175 3.62 2.770 15.50  0  1    5    6
## Maserati Bora       15.0   8 301.0 335 3.54 3.570 14.60  0  1    5    8
## Volvo 142E          21.4   4 121.0 109 4.11 2.780 18.60  1  1    4    2

3 EDA (Exploratory Data Analysis) of Manual Cars

3.1 Filter out the manual cars

manual_cars <- mtcars %>% filter(am == 1)
manual_cars
##                 mpg cyl  disp  hp drat    wt  qsec vs am gear carb
## Mazda RX4      21.0   6 160.0 110 3.90 2.620 16.46  0  1    4    4
## Mazda RX4 Wag  21.0   6 160.0 110 3.90 2.875 17.02  0  1    4    4
## Datsun 710     22.8   4 108.0  93 3.85 2.320 18.61  1  1    4    1
## Fiat 128       32.4   4  78.7  66 4.08 2.200 19.47  1  1    4    1
## Honda Civic    30.4   4  75.7  52 4.93 1.615 18.52  1  1    4    2
## Toyota Corolla 33.9   4  71.1  65 4.22 1.835 19.90  1  1    4    1
## Fiat X1-9      27.3   4  79.0  66 4.08 1.935 18.90  1  1    4    1
## Porsche 914-2  26.0   4 120.3  91 4.43 2.140 16.70  0  1    5    2
## Lotus Europa   30.4   4  95.1 113 3.77 1.513 16.90  1  1    5    2
## Ford Pantera L 15.8   8 351.0 264 4.22 3.170 14.50  0  1    5    4
## Ferrari Dino   19.7   6 145.0 175 3.62 2.770 15.50  0  1    5    6
## Maserati Bora  15.0   8 301.0 335 3.54 3.570 14.60  0  1    5    8
## Volvo 142E     21.4   4 121.0 109 4.11 2.780 18.60  1  1    4    2
summary(mtcars)
##       mpg             cyl             disp             hp       
##  Min.   :10.40   Min.   :4.000   Min.   : 71.1   Min.   : 52.0  
##  1st Qu.:15.43   1st Qu.:4.000   1st Qu.:120.8   1st Qu.: 96.5  
##  Median :19.20   Median :6.000   Median :196.3   Median :123.0  
##  Mean   :20.09   Mean   :6.188   Mean   :230.7   Mean   :146.7  
##  3rd Qu.:22.80   3rd Qu.:8.000   3rd Qu.:326.0   3rd Qu.:180.0  
##  Max.   :33.90   Max.   :8.000   Max.   :472.0   Max.   :335.0  
##       drat             wt             qsec             vs        
##  Min.   :2.760   Min.   :1.513   Min.   :14.50   Min.   :0.0000  
##  1st Qu.:3.080   1st Qu.:2.581   1st Qu.:16.89   1st Qu.:0.0000  
##  Median :3.695   Median :3.325   Median :17.71   Median :0.0000  
##  Mean   :3.597   Mean   :3.217   Mean   :17.85   Mean   :0.4375  
##  3rd Qu.:3.920   3rd Qu.:3.610   3rd Qu.:18.90   3rd Qu.:1.0000  
##  Max.   :4.930   Max.   :5.424   Max.   :22.90   Max.   :1.0000  
##        am              gear            carb      
##  Min.   :0.0000   Min.   :3.000   Min.   :1.000  
##  1st Qu.:0.0000   1st Qu.:3.000   1st Qu.:2.000  
##  Median :0.0000   Median :4.000   Median :2.000  
##  Mean   :0.4062   Mean   :3.688   Mean   :2.812  
##  3rd Qu.:1.0000   3rd Qu.:4.000   3rd Qu.:4.000  
##  Max.   :1.0000   Max.   :5.000   Max.   :8.000

3.2 Create new feature for power to weight ratio

manual_cars <- manual_cars %>%
  mutate(power_to_weight = hp / wt)
manual_cars
##                 mpg cyl  disp  hp drat    wt  qsec vs am gear carb
## Mazda RX4      21.0   6 160.0 110 3.90 2.620 16.46  0  1    4    4
## Mazda RX4 Wag  21.0   6 160.0 110 3.90 2.875 17.02  0  1    4    4
## Datsun 710     22.8   4 108.0  93 3.85 2.320 18.61  1  1    4    1
## Fiat 128       32.4   4  78.7  66 4.08 2.200 19.47  1  1    4    1
## Honda Civic    30.4   4  75.7  52 4.93 1.615 18.52  1  1    4    2
## Toyota Corolla 33.9   4  71.1  65 4.22 1.835 19.90  1  1    4    1
## Fiat X1-9      27.3   4  79.0  66 4.08 1.935 18.90  1  1    4    1
## Porsche 914-2  26.0   4 120.3  91 4.43 2.140 16.70  0  1    5    2
## Lotus Europa   30.4   4  95.1 113 3.77 1.513 16.90  1  1    5    2
## Ford Pantera L 15.8   8 351.0 264 4.22 3.170 14.50  0  1    5    4
## Ferrari Dino   19.7   6 145.0 175 3.62 2.770 15.50  0  1    5    6
## Maserati Bora  15.0   8 301.0 335 3.54 3.570 14.60  0  1    5    8
## Volvo 142E     21.4   4 121.0 109 4.11 2.780 18.60  1  1    4    2
##                power_to_weight
## Mazda RX4             41.98473
## Mazda RX4 Wag         38.26087
## Datsun 710            40.08621
## Fiat 128              30.00000
## Honda Civic           32.19814
## Toyota Corolla        35.42234
## Fiat X1-9             34.10853
## Porsche 914-2         42.52336
## Lotus Europa          74.68605
## Ford Pantera L        83.28076
## Ferrari Dino          63.17690
## Maserati Bora         93.83754
## Volvo 142E            39.20863
manual_cars %>%
  summarise(
    avg_power_to_weight = mean(power_to_weight),
    max_power_to_weight = max(power_to_weight),
    min_power_to_weight = min(power_to_weight),
    count = n()
  )
##   avg_power_to_weight max_power_to_weight min_power_to_weight count
## 1             49.9057            93.83754                  30    13

3.3 Create new df for power to weight ratio vs quarter mile time

manual_cars_pow_qsec <- manual_cars %>%
  select(power_to_weight, qsec) %>%
  arrange(desc(power_to_weight))

manual_cars_pow_qsec
##                power_to_weight  qsec
## Maserati Bora         93.83754 14.60
## Ford Pantera L        83.28076 14.50
## Lotus Europa          74.68605 16.90
## Ferrari Dino          63.17690 15.50
## Porsche 914-2         42.52336 16.70
## Mazda RX4             41.98473 16.46
## Datsun 710            40.08621 18.61
## Volvo 142E            39.20863 18.60
## Mazda RX4 Wag         38.26087 17.02
## Toyota Corolla        35.42234 19.90
## Fiat X1-9             34.10853 18.90
## Honda Civic           32.19814 18.52
## Fiat 128              30.00000 19.47

3.4 Calculate correlation and visualize in scatter plot

correlation <- cor(manual_cars_pow_qsec$power_to_weight, manual_cars_pow_qsec$qsec)
correlation
## [1] -0.8408676
ggplot(manual_cars_pow_qsec, aes(x = power_to_weight, y = qsec)) +
  geom_point(color = "blue") + 
  geom_smooth(method = "lm", color = "red", se = FALSE) + # Adds a regression line
  labs(
    title = "Power-to-Weight Ratio vs. Quarter-Mile Time",
    x = "Power-to-Weight Ratio",
    y = "Quarter-Mile Time"
  ) +
  theme_minimal()
## `geom_smooth()` using formula = 'y ~ x'