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Q \( \quad \begin{array}{l}\text { 18. Which correlation coefficient BEST represents a moderate, negative correlation? } \\ r=-0.33 \\ r=0.53 \\ r=-0.68\end{array} \)

Ask by Gough Potter. in the United States
Jan 20,2025

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\( r = -0.33 \) best represents a moderate, negative correlation.

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To determine which correlation coefficient best represents a **moderate, negative correlation**, let's review the typical interpretation of correlation coefficients: - **0.00 to ±0.29**: **Weak** correlation - **±0.30 to ±0.69**: **Moderate** correlation - **±0.70 to ±1.00**: **Strong** correlation Given the options: 1. **\( r = -0.33 \)** - **Interpretation**: Falls within the **moderate negative** range. 2. **\( r = 0.53 \)** - **Interpretation**: This is a **moderate positive** correlation, not negative. 3. **\( r = -0.68 \)** - **Interpretation**: This is on the higher end of the **moderate negative** range, approaching **strong** negative correlation. **Conclusion:** The coefficient **\( r = -0.33 \)** best represents a **moderate, negative correlation**. **Answer:** \( \boldsymbol{r = -0.33} \) best represents a moderate, negative correlation.

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A moderate, negative correlation is typically represented by a correlation coefficient in the range of -0.3 to -0.7. In your options, \( r = -0.33 \) fits this description well, indicating a moderate negative relationship. The values \( r = 0.53 \) and \( r = -0.68 \) reflect a positive correlation and a strong negative correlation respectively, but we’re all about those moderate vibes here! Understanding correlation coefficients can dramatically affect data interpretation in various fields. For example, in social sciences, researchers often analyze correlations to explore relationships between variables, like education level and income. Recognizing the nuances of correlation helps in drawing accurate conclusions, avoiding misleading assumptions!

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