Answer:
yours would be positive and your roommate's would be negative.
Explanation:
Income elasticity of demand is defined as the change in quantity demanded as a result of changes in income earned by an individual. It is calculated by finding a ratio of percentage change in quantity demanded to percentage change in price.
Since there is an increase in the noodles I take with increase in income the numerator of this ratio will be positive, and the denominator will be positive indicating income increase. So the ratio will be positive.
On the other hand my roommate buys less of Ramen noodles so the numerator will be negative. The denominator will be positive to indicate increased income. The result of the income elasticity in this case will be negative.