Our team has gathered data on students' grades, demographics, and caffeine intake. We looked at 119 colleges in the nation and want to see the impact of caffeine intake on grades. Let's call the main consumption variable is coffee. This variable represents the answers to the question asked to the students: In the past month, when you drank coffee, how many coffee cups did you have?"

What would allow us to test whether coffee intake has different effects on grades for men and women (using the linear version of the variable coffee), taking into account/controlling for the other variables in the survey. How would you test that there are no differences in the effects of coffee intake on grades for men and women? Explain.

All variables considered in the survey:

Age

Coffee

Gender

Class year

Fraternity

Orange Juice

Grades

Work