Math Problem Statement
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Solution
In the image, you are asked to match different correlation coefficients with their descriptions of correlation strength and direction.
Here’s how you should match them:
- -0.44: This is a negative correlation, but it's not very strong. It should match with weak negative correlation.
- +0.79: This is a relatively high positive correlation, indicating a strong relationship. It should match with strong positive correlation.
- -0.97: This is a very high negative correlation, meaning the variables are strongly related in a negative way. It should match with strong negative correlation.
- +0.31: This is a positive correlation, but it is not very strong. It should match with weak positive correlation.
Summary of Matches:
- -0.44: Weak negative correlation
- +0.79: Strong positive correlation
- -0.97: Strong negative correlation
- +0.31: Weak positive correlation
Would you like more details or have any questions? Here are five related questions for practice:
- What would be considered a perfect positive correlation?
- What value represents no correlation?
- How would you describe a correlation of +0.05?
- What does a negative correlation indicate about the relationship between two variables?
- Can a correlation value exceed 1 or be less than -1?
Tip:
When interpreting correlation values, remember that closer to ±1 indicates a stronger relationship, while values near 0 indicate weaker relationships.
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Positive and Negative Correlation
Formulas
Pearson's correlation coefficient formula: r = (Σ(xy) - ΣxΣy/n) / sqrt([Σ(x^2) - (Σx)^2/n][Σ(y^2) - (Σy)^2/n])
Theorems
Correlation Coefficient Interpretation
Suitable Grade Level
Grades 9-12
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