First of all the driving profile is an important factor. This can include the number of miles you will drive the car monthly or annually, your previous driving records like accident or fine history etc will also play a very important part. If you have a safe driving record without accidents or traffic rules violations, then you can get a good insurance quote.
The vehicle you are driving is also a very important part in car insurance quotes. The premiums of the insurance are usually based on things like the market value of the vehicle, cost of any possible repairs etc.
Some auto insurance companies also check out credit scores of the applicant when they quote a price. There seems to have been studies conducted in this area which show that people who manage their finances properly tend to have lower number of insurance claims. So, the insurance companies would like to have such customers who have good credit scores in order to avoid future headaches and problems.
You need to be savvy about the car you are buying and what kind of coverage package you choose if you really want to save some money. The more coverage you select the more money you have to pay to the insurance companies. It is always best to research and get quotes from different companies and what packages they are offering before you make a final selection. However, don't opt for new companies as you don't know if they will stand by their word or not. It is best to go with reliable companies who have good standing in the market.