Insurance companies look at many factors when determining auto insurance rates for drivers. These may include:

The make and model year of the car
Who drives the car
The number of miles you drive
Where you live
Where the car is parked a majority of the time
Your age, marital status and gender
Your driving history (i.e. any accidents and traffic violations)
The auto coverage you choose
The deductibles and coverage limits you select

Sources: National Association of Insurance Commissioners, III

So, while your vehicle does play a role in the price of a policy, it's more about the type of car you drive and how you drive it — not the car's color.