I'm an engineering recruiter and negotiate salaries, offers ect.. on a weekly basis. The key to your salary is going to be in the industry the company is in not the title. An ME in a medical company is on average going to make about 10-15% more then say an industrial company. So find the average for the particalur ME, QE, Supervisor in the companies industry. That will give you a good starting point.
If they ask present the average and be realistic. Yes you have 1.5 years experience but the market is tuff right now, I'm guessing you are up against candidates with more experience and probably experience within the specific industry who are willing to work for the same rate as you. Make yourself cheaper and trainable to give you an advantage, then ask in writing for a performance review in 6 months, if you are performing you can ask for a bump then.
Another negotiating point is vacation, you'll probably be offered 2 weeks, if you feel the salary offered is on the low end ask for 2 weeks and 2 days, it doesn't cost the company more money to give you a couple extra days off. Well it does but it looks different on the P&L vs. salary.
I'm happy to give you more tips via the phone, email me your contact information and we can set up a conversation. email@example.com