1. **Stating the problem:** We are asked to identify the type of correlation shown in three scatter diagrams (A, B, and C). 2. **Understanding correlation types:** - A **positive correlation** means as $x$ increases, $y$ also increases. - A **negative correlation** means as $x$ increases, $y$ decreases. - **No correlation** means there is no clear pattern between $x$ and $y$. 3. **Analyzing Diagram A:** The points form a downward linear pattern, meaning as $x$ increases, $y$ decreases. - This indicates a **negative correlation**. 4. **Analyzing Diagram B:** The points form an upward linear pattern, meaning as $x$ increases, $y$ also increases. - This indicates a **positive correlation**. 5. **Analyzing Diagram C:** The points are scattered loosely with no clear pattern. - This indicates **no correlation**. **Final answers:** - a) Diagram A shows a **negative correlation**. - b) Diagram B shows a **positive correlation**. - c) Diagram C shows **no correlation**.