W $$ \quad \begin{array}{l} ext { 18. Which correlation coefficient BEST represents a moderate, negative correlation? } \ r=-0.33 \ r=-0.48 \ r=0.53 \ r=-0.68\end{array} $$

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W $$ \quad \begin{array}{l}	ext { 18. Which correlation coefficient BEST represents a moderate, negative correlation? } \ r=-0.33 \ r=-0.48 \ r=0.53 \ r=-0.68\end{array} $$

UpStudy AI · Accepted Answer

To determine which correlation coefficient best represents a **moderate, negative correlation**, we need to understand the typical interpretations of the correlation coefficient $$ r $$:

- **0.00 to 0.10**: Negligible correlation
- **0.11 to 0.30**: Weak correlation
- **0.31 to 0.50**: Moderate correlation
- **0.51 to 1.00**: Strong correlation

Given the options:

1. **$$ r = -0.33 $$**  
   - Falls within the **moderate** range.
2. **$$ r = -0.48 $$**  
   - Also falls within the **moderate** range but is closer to the upper limit of moderate, nearing a **strong** correlation.
3. **$$ r = 0.53 $$**  
   - Represents a **strong positive** correlation.
4. **$$ r = -0.68 $$**  
   - Represents a **strong negative** correlation.

While both $$ r = -0.33 $$ and $$ r = -0.48 $$ indicate a moderate negative correlation, **$$ r = -0.48 $$** is closer to the strong range, making it the **best** representation of a moderate negative correlation among the options provided.

**Answer:** $$ r = -0.48 $$
The best correlation coefficient for a moderate, negative correlation is $$ r = -0.48 $$.

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