Question

problem 4
select all the pairs of variables that have a negative association.

• x: minutes youve walked

y: number of calories burned

• x: speed that you walk

y: time to get to your destination

• x: number of people in a checkout line

y: time you have to wait in the line

• x: money withdrawn from the bank account

y: money in a bank account

• x: time working

y: free time

Explanation:

1. For \( x \): Minutes you've walked, \( y \): Number of calories burned: As walking time increases, calories burned usually increase (positive association), so not negative.
2. For \( x \): Speed that you walk, \( y \): Time to get to your destination: Higher speed means less time to destination (negative association, as \( x \) increases, \( y \) decreases).
3. For \( x \): Number of people in a checkout line, \( y \): Time you have to wait in the line: More people mean more waiting time (positive association), so not negative.
4. For \( x \): Money withdrawn from the bank account, \( y \): Money in a bank account: More money withdrawn means less money in the account (negative association, as \( x \) increases, \( y \) decreases).
5. For \( x \): Time working, \( y \): Free time: More time working means less free time (negative association, as \( x \) increases, \( y \) decreases).

Answer:

• \( x \): Speed that you walk, \( y \): Time to get to your destination
• \( x \): Money withdrawn from the bank account, \( y \): Money in a bank account
• \( x \): Time working, \( y \): Free time