To determine the kind of association between the variables X (hours worked) and Y (dollars earned), let's carefully analyze the relationship:
1. Understanding Variables:
- Variable X represents the number of hours an employee works.
- Variable Y represents the amount of money an employee earns.
2. Establishing the Relationship:
- Employees who earn an hourly wage receive a certain amount of money for each hour they work. If they work more hours, they earn more money, and if they work fewer hours, they earn less money.
3. Association Analysis:
- A positive association means that as one variable increases, the other variable also increases.
- A negative association means that as one variable increases, the other variable decreases.
4. Evaluating Hours Worked vs. Dollars Earned:
- When an employee works more hours (X increases), they will earn more money (Y increases).
- Conversely, if an employee works fewer hours (X decreases), they will earn less money (Y decreases).
Because an increase in hours worked leads to an increase in dollars earned, the relationship between hours worked (X) and dollars earned (Y) is a positive association. The answer is:
positive association
