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QuestionMathematics

"Which of the following is not a possible r-value? A. 0.6 B. 0.3 C. - 1.3 D. - 0.6
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Understand the r-value (correlation coefficient)

The correlation coefficient (r-value) is a statistical measure that describes the strength and direction of a linear relationship between two variables.

Step 3:
: Recall the properties of r-values

- $$r = +1$$ indicates a perfect positive linear relationship
- r-values always range from - 1 to + 1

Step 4:
: Evaluate each option

- Falls within the range $$[-1, 1]
- This is a valid r-value (positive correlation) - This is a valid r-value (weak positive correlation) - This is NOT a valid r-value - This is a valid r-value (moderate negative correlation)

Final Answer

C. - 1.3 is not a possible r-value because it falls outside the valid range of [- 1, 1].