What is the strength and direction of the correlation between \( x \) and \( y \) ? Small positive linear association Small negative linear association Small positive non-linear association No association, since when one variable changes, it does not influence the other

To determine the **strength** and **direction** of the correlation between variables \( x \) and \( y \), we typically rely on visual representations like scatter plots or statistical measures such as the Pearson correlation coefficient. Here's a brief overview of the options you've provided: 1. **Small Positive Linear Association** - **Strength:** Weak - **Direction:** Positive (as \( x \) increases, \( y \) tends to increase slightly) 2. **Small Negative Linear Association** - **Strength:** Weak - **Direction:** Negative (as \( x \) increases, \( y \) tends to decrease slightly) 3. **Small Positive Non-linear Association** - **Strength:** Weak - **Direction:** Positive, but not following a straight line (e.g., a slight curve) 4. **No Association** - **Strength:** None - **Direction:** No consistent trend; changes in one variable do not predict changes in the other **Without specific data or a visual representation**, it's challenging to accurately identify which of these descriptions best fits the correlation between \( x \) and \( y \). If you have a scatter plot or a correlation coefficient value, feel free to share it, and I can help interpret the correlation for you!