In this section, you will try a PCA using a simple and easily understood data set. You will use the mtcars data set, which is built into R. This data set consists of data on 32 models of cars, taken from an American motoring magazine (Motor Trend, 1974). For each car, there are 11 features, expressed in varying units (U.S. units), They are as follows:
mpg: Fuel consumption (miles per (US) gallon)—more powerful and heavier cars tend to consume more fuel
cyl: Number of cylinders—more powerful cars often have more cylinders disp: Displacement (cu.in.) is the combined volume of the engine's cylinders. hp: Gross horsepower is a measure of the power generated by the car.
drat: Rear axle ratio describes how a turn of the drive shaft corresponds to a turn of the wheels. Higher values will decrease fuel e ciency.
wt: Weight (1,000 lb) is self-explanatory!
qsec: 1/4 mile time describes the car's speed and acceleration
vs: Engine block—this denotes whether the vehicle's engine is shaped like a V or is a more common straight shape.
am: Transmission—this denotes whether the car's transmission is automatic (0) or manual (1).
gear: Number of forward gears—sports cars tend to have more gears.
carb: Number of carburetors—this is associated with more powerful engines
Note that the units used vary and occupy di erent scales.
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