Question:
Given below are two statements: Assertion (A): The correlation coefficient \(r\) is known as Pearson's correlation coefficient. Reason (R): It was developed by Karl Pearson.
Given below are two statements: Assertion (A): The correlation coefficient \(r\) is known as Pearson's correlation coefficient. Reason (R): It was developed by Karl Pearson.
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Pearson's correlation coefficient is denoted by \(r\) and measures linear correlation between two variables.
Updated On: May 18, 2026
- Both A and R are correct and R is the correct explanation of A
- Both A and R are correct but R is not the correct explanation of A
- A is correct but R is not correct
- A is not correct but R is correct
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The Correct Option is A
Solution and Explanation
Concept:
Pearson's correlation coefficient is a statistical measure used to determine the strength and direction of linear relationship between two variables.
Step 1: Check Assertion (A).
The correlation coefficient \(r\) commonly represents Pearson's correlation coefficient. \[ A \text{ is correct} \]
Step 2: Check Reason (R).
Pearson's correlation coefficient was developed by Karl Pearson. \[ R \text{ is correct} \]
Step 3: Check explanation.
Since the coefficient was developed by Karl Pearson, it is known as Pearson's correlation coefficient. \[ R \text{ correctly explains } A \] \[ \therefore \text{Correct Answer is (A)} \]
Pearson's correlation coefficient is a statistical measure used to determine the strength and direction of linear relationship between two variables.
Step 1: Check Assertion (A).
The correlation coefficient \(r\) commonly represents Pearson's correlation coefficient. \[ A \text{ is correct} \]
Step 2: Check Reason (R).
Pearson's correlation coefficient was developed by Karl Pearson. \[ R \text{ is correct} \]
Step 3: Check explanation.
Since the coefficient was developed by Karl Pearson, it is known as Pearson's correlation coefficient. \[ R \text{ correctly explains } A \] \[ \therefore \text{Correct Answer is (A)} \]
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