Question:

The correlation coefficient ranges between

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Correlation coefficient (r):
- Range: -1 to +1.
- r = +1: Perfect positive correlation.
- r = -1: Perfect negative correlation.
- r = 0: No correlation.
  • Positive
  • Negative
  • Both positive and negative
  • Neutral
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the Question:
This question tests knowledge of the range of the correlation coefficient.

Step 2: Detailed Explanation:

The correlation coefficient (r) ranges between -1 and +1.
- Positive (A): r > 0 (direct relationship).
- Negative (B): r < 0 (inverse relationship).
- Both positive and negative (C): Correct, r can be positive or negative.
- Neutral (D): Not a standard term.
Thus, the correlation coefficient ranges between both positive and negative values.

Step 3: Final Answer:

Thus, the correlation coefficient ranges between both positive and negative values, which corresponds to option (C).
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