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Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The value of correlation coefficient is in the range of ‐1 to +1.
Reason R: Correlation between two variables doesn't help in predicting the value of a variable even if we know the value of another variable.
In light of the above statements, choose the correct answer from the options given below
Assertion A: The value of correlation coefficient is in the range of ‐1 to +1.
Reason R: Correlation between two variables doesn't help in predicting the value of a variable even if we know the value of another variable.
In light of the above statements, choose the correct answer from the options given below
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Given below are two statements, one is labelled as Assertion A and the...
The correlation coefficient is a metric for determining how strong a relationship exists between two variables.
Key Points
Assertion A: The value of the correlation coefficient is in the range of ‐1 to +1.
Assertion A: The value of the correlation coefficient is in the range of ‐1 to +1.
- The correlation coefficient is a statistical measure of how strong a relationship exists between two variables' relative movements.
- The range of values is -1.0 to 1.0.
- A value of exactly 1.0 indicates that the two variables have a perfect positive association.
- A score of -1.0 indicates that the two variables have a perfect negative relationship.
So, A is true.
Reason R: Correlation between two variables doesn't help in predicting the value of a variable even if we know the value of another variable.
- There was an error in the correlation measurement if the calculated number was more than 1.0 or less than -1.0.
- A perfect negative correlation is represented by a correlation of -1.0 whereas a perfect positive correlation is represented by a correlation of 1.0.
- A correlation of 0.0 indicates that there is no linear link between the two variables' movements.
- The degree to which the association is strong is determined by the correlation coefficient's value.
Thus, R is true but R is NOT the correct explanation of A.
Therefore, Both A and R are true but R is NOT the correct explanation of A.
Most Upvoted Answer
Given below are two statements, one is labelled as Assertion A and the...
Understanding the Assertion and Reason
The question involves evaluating two statements about the correlation coefficient and its implications.
Assertion A:
- The value of the correlation coefficient is in the range of -1 to +1.
- This statement is true. The correlation coefficient (denoted as 'r') measures the strength and direction of a linear relationship between two variables. A value of +1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.
Reason R:
- Correlation between two variables doesn't help in predicting the value of a variable even if we know the value of another variable.
- This statement is false. While correlation does not imply causation, a strong correlation can indeed help in making predictions. For example, if two variables are highly correlated, knowing the value of one can provide a good estimate of the other.
Conclusion
Given the evaluations:
- Both A and R are true and R is the correct explanation of A: False (R is false).
- Both A and R are true but R is NOT the correct explanation of A: False (R is false).
- A is true but R is false: True (This is the correct option).
- A is false but R is true: False (A is true).
Thus, the correct answer is option 'C': A is true but R is false.
This conclusion highlights that while correlation can be predictive, the assertion correctly states the range of the correlation coefficient, making it a valid statement on its own.
The question involves evaluating two statements about the correlation coefficient and its implications.
Assertion A:
- The value of the correlation coefficient is in the range of -1 to +1.
- This statement is true. The correlation coefficient (denoted as 'r') measures the strength and direction of a linear relationship between two variables. A value of +1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.
Reason R:
- Correlation between two variables doesn't help in predicting the value of a variable even if we know the value of another variable.
- This statement is false. While correlation does not imply causation, a strong correlation can indeed help in making predictions. For example, if two variables are highly correlated, knowing the value of one can provide a good estimate of the other.
Conclusion
Given the evaluations:
- Both A and R are true and R is the correct explanation of A: False (R is false).
- Both A and R are true but R is NOT the correct explanation of A: False (R is false).
- A is true but R is false: True (This is the correct option).
- A is false but R is true: False (A is true).
Thus, the correct answer is option 'C': A is true but R is false.
This conclusion highlights that while correlation can be predictive, the assertion correctly states the range of the correlation coefficient, making it a valid statement on its own.
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Community Answer
Given below are two statements, one is labelled as Assertion A and the...
The correlation coefficient is a metric for determining how strong a relationship exists between two variables.
Key Points
Assertion A: The value of the correlation coefficient is in the range of ‐1 to +1.
Assertion A: The value of the correlation coefficient is in the range of ‐1 to +1.
- The correlation coefficient is a statistical measure of how strong a relationship exists between two variables' relative movements.
- The range of values is -1.0 to 1.0.
- A value of exactly 1.0 indicates that the two variables have a perfect positive association.
- A score of -1.0 indicates that the two variables have a perfect negative relationship.
So, A is true.
Reason R: Correlation between two variables doesn't help in predicting the value of a variable even if we know the value of another variable.
- There was an error in the correlation measurement if the calculated number was more than 1.0 or less than -1.0.
- A perfect negative correlation is represented by a correlation of -1.0 whereas a perfect positive correlation is represented by a correlation of 1.0.
- A correlation of 0.0 indicates that there is no linear link between the two variables' movements.
- The degree to which the association is strong is determined by the correlation coefficient's value.
Thus, R is true but R is NOT the correct explanation of A.
Therefore, Both A and R are true but R is NOT the correct explanation of A.
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Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason RAssertion A: The value of correlation coefficient is in the range of 1 to +1.Reason R: Correlation between two variables doesnt help in predicting the value of a variable even if we know the value of another variable.In light of the above statements, choose the correct answer from the options given belowa)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? for SAT 2026 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason RAssertion A: The value of correlation coefficient is in the range of 1 to +1.Reason R: Correlation between two variables doesnt help in predicting the value of a variable even if we know the value of another variable.In light of the above statements, choose the correct answer from the options given belowa)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason RAssertion A: The value of correlation coefficient is in the range of 1 to +1.Reason R: Correlation between two variables doesnt help in predicting the value of a variable even if we know the value of another variable.In light of the above statements, choose the correct answer from the options given belowa)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason RAssertion A: The value of correlation coefficient is in the range of 1 to +1.Reason R: Correlation between two variables doesnt help in predicting the value of a variable even if we know the value of another variable.In light of the above statements, choose the correct answer from the options given belowa)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? for SAT 2026 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason RAssertion A: The value of correlation coefficient is in the range of 1 to +1.Reason R: Correlation between two variables doesnt help in predicting the value of a variable even if we know the value of another variable.In light of the above statements, choose the correct answer from the options given belowa)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason RAssertion A: The value of correlation coefficient is in the range of 1 to +1.Reason R: Correlation between two variables doesnt help in predicting the value of a variable even if we know the value of another variable.In light of the above statements, choose the correct answer from the options given belowa)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
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