Final answer:
Among the provided pairs, 'adult shoe size and IQ scores' would likely not show a negative correlation as there's no reason to believe that shoe size affects intelligence.
Step-by-step explanation:
The question revolves around the concept of negative correlation, which is a relationship between two variables where one variable increases as the other decreases. To identify which of the given pairs would likely not show a negative correlation, we must understand each scenario.
A negative correlation between hours spent watching TV and grade-point average is expected because more TV time can lead to less study time, detrimentally affecting grades. Similarly, average income and the incidence of dental disease would likely show a negative correlation because higher income levels can afford better healthcare, leading to fewer dental issues.
The value of a car and the age of a car typically have a negative correlation as well because as a car gets older, its value tends to decrease. However, adult shoe size and IQ scores should have no correlation since there is no logical or empirical reason to believe that the size of one's shoes has any bearing on their intelligence.