Delermando Branquinho Filho
august, 04 2016
Course Project
As an initial test, dependence of mpg on wt is analysed. box-scat A: Boxplot, B: Scatterplot of mpg against wt.
For the purpose of this analysis we use mtcars dataset which is a dataset extracted from the 1974 Motor Trend US magazine, and comprises fuel autonomy and 10 more aspects of automobile design and performance for 32 automobiles (1973-74 models). The table below shows a brief description of the variables in the dataset:
data("mtcars")
head(mtcars)
mpg cyl disp hp drat wt qsec vs am gear carb
Mazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 4
Mazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 4
Datsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 1
Hornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 0 3 1
Hornet Sportabout 18.7 8 360 175 3.15 3.440 17.02 0 0 3 2
Valiant 18.1 6 225 105 2.76 3.460 20.22 1 0 3 1
According to the boxplot, automatic cars have lower MPG (and possibly lower variance in the data). Importantly, the relationships appear linear and no outliers which could affect correlation values are identified. The only aspect which is slightly problematic is the limited dataset size (n=32). It is noted that apparently most cars with automatic transmission also are heavier which possibly confounds the observation, this would be subject to further research.
The application can be found in