Subjects statistics

Correlation Causation E852E1

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to identify which situation most likely implies causation rather than just correlation. 2. Correlation means two variables change together, but causation means one variable directly causes the change in the other. 3. Let's analyze each option: - A. Lake water levels and boats both increase, but more boats might not cause water levels to rise or vice versa. This is likely correlation. - B. Outdoor temperatures and electric bills both increase, but higher temperatures might cause more air conditioning use, increasing bills. This suggests possible causation. - C. Gasoline prices and bike purchases both increase, but higher gas prices might encourage bike purchases, suggesting causation. - D. Advertising budget and sales both increase, and increasing advertising often directly causes sales to increase. This is a strong case for causation. 4. Among these, option D is the most direct and common example of causation: increasing advertising budget causes sales to increase. Final answer: D. As a company's advertising budget increased, the company's sales increased.