Fo each pair of variables, is the association likely to be positive or negative, or no association and why

Car size in square feet and cost of car($)
Temperature outside in the winter and propane consumed to heat house

Amt of soda pop consumed and GPA

Hmm -- I don't see YOUR answers. I'll be glad to check them for you.

I think that the first one (car size) is a positive relationship -- although I am having troiuble understanding why.

I think the temp outside is negative.

Amt of pop and gpa -- no association?

Yes, you're right.

Usually, large cars cost more than smaller cars.

To determine the likely association between each pair of variables, we need to understand the concept of correlation. Correlation is a statistical measure that shows the relationship between two variables, and it can be positive, negative, or indicate no association.

1. Car size in square feet and cost of car ($):
The association between car size and cost is likely to be positive. This means that as the car size increases, the cost of the car is expected to increase as well. Typically, larger cars tend to be more expensive, as they often have more features, a higher manufacturing cost, or are from luxury brands.

2. Temperature outside in the winter and propane consumed to heat the house:
The association between temperature and propane consumption is likely to be positive. As the temperature drops, the propane consumption required to heat the house increases. As the outside temperature gets colder, more propane is needed to maintain a comfortable temperature indoors.

3. Amount of soda pop consumed and GPA:
The association between the amount of soda pop consumed and GPA is likely to have no association or a weak association. These variables are not directly related to each other. Someone's GPA is determined by various factors such as study habits, dedication, intelligence, and other lifestyle choices. While soda pop consumption might indirectly influence factors like energy levels and focus, it is not a strong determinant of academic performance compared to other factors like studying habits or overall health.

It is important to note that these are general assumptions and the actual association might vary depending on different factors, data sets, or specific contexts.