Math Problem Statement
There is no linear correlation found if the value of r is ___. * -1 2 +1 0
Solution
The correct answer is 2.
The value of the correlation coefficient can range from -1 to +1, where:
- indicates a perfect negative linear correlation,
- indicates a perfect positive linear correlation,
- indicates no linear correlation,
- Any value outside the range of , such as 2, is not possible for a correlation coefficient.
So, if you find that , it means that something went wrong in the calculation or interpretation.
Would you like more details on how correlation works, or have any other questions about this?
Here are 5 related questions for you:
- What does it mean when ?
- How do you interpret negative values of the correlation coefficient?
- What is the difference between correlation and causation?
- How do you calculate the correlation coefficient between two variables?
- How can you visualize the correlation between two variables?
Tip: Always remember that must be within the range for valid correlation analysis.
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation Coefficient
Linear Correlation
Formulas
Correlation Coefficient Formula: r = (Σ(x - x̄)(y - ȳ)) / (nσxσy)
Theorems
Correlation Properties: -1 ≤ r ≤ 1
Suitable Grade Level
Grades 9-12
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