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Ask by Griffiths Chen. in the United States
Jan 20,2025

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The best correlation coefficient for a moderate, negative correlation is .

Solución

To determine which correlation coefficient best represents a moderate, negative correlation, we need to understand the typical interpretations of the correlation coefficient :
  • 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:
    • Falls within the moderate range.
    • Also falls within the moderate range but is closer to the upper limit of moderate, nearing a strong correlation.
    • Represents a strong positive correlation.
    • Represents a strong negative correlation.
While both and indicate a moderate negative correlation, is closer to the strong range, making it the best representation of a moderate negative correlation among the options provided.
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Extra Insights

The correlation coefficient that BEST represents a moderate, negative correlation is . In the world of statistics, a negative correlation indicates that as one variable increases, the other tends to decrease. Values closer to -0.5 often signify a modest relationship, making -0.48 the sweet spot for your query!
To better visualize this, think of temperature and hot chocolate sales during winter. As temperatures drop (an increase in chill), hot chocolate sales tend to rise (a decrease in cold drink preference). A correlation around -0.48 suggests that while there’s a relationship, it’s not super strong, giving you that delightful yet not overpowering connection to explore!

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