Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): When correlation coefficient (r) is between +0.75 and +1, high degree of positive correlation and when it is between –0.75 to –1 high degree of negative correlation.Reason (R): The value of correlation lies between + 1 and – 1.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).c)Assertion (A) is true, but Reason (R) is false.d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer?

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Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): When correlation coefficient (r) is between +0.75 and +1, high degree of positive correlation and when it is between –0.75 to –1 high degree of negative correlation.

Reason (R): The value of correlation lies between + 1 and – 1.

a)
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).
b)
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
c)
Assertion (A) is true, but Reason (R) is false.
d)
Assertion (A) is false, but Reason (R) is true.

Correct answer is option 'B'. Can you explain this answer?

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Direction: In the following questions, a statement of Assertion (A) i...

A correlation coefficient of +1 indicates a perfect positive correlation. As variable x increases, variable y increases. As variable x decreases, variable y decreases. A correlation coefficient of -1 indicates a perfect negative correlation.

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Direction: In the following questions, a statement of Assertion (A) i...

Assertion (A): When correlation coefficient (r) is between 0.75 and 1, there is a high degree of positive correlation. When it is between –0.75 and –1, there is a high degree of negative correlation.

Reason (R): The value of correlation lies between 1 and –1.

The correct answer is option B, which states that both the Assertion and Reason are true, but the Reason is not the correct explanation of the Assertion. Let's analyze this in detail:

Understanding Correlation Coefficient:
The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

Positive Correlation:
When the correlation coefficient (r) is between 0.75 and 1, it indicates a high degree of positive correlation. This means that as one variable increases, the other variable also tends to increase. The closer the correlation coefficient is to 1, the stronger the positive correlation.

Negative Correlation:
When the correlation coefficient (r) is between -0.75 and -1, it indicates a high degree of negative correlation. This means that as one variable increases, the other variable tends to decrease. The closer the correlation coefficient is to -1, the stronger the negative correlation.

Range of Correlation Coefficient:
The correlation coefficient (r) ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, where all data points lie on a straight line with a positive slope. A correlation coefficient of -1 indicates a perfect negative correlation, where all data points lie on a straight line with a negative slope.

Explanation:
The Assertion (A) is true because when the correlation coefficient (r) is between 0.75 and 1, it indicates a high degree of positive correlation. Similarly, when the correlation coefficient (r) is between -0.75 and -1, it indicates a high degree of negative correlation.

However, the Reason (R) is not the correct explanation of the Assertion. The Reason simply states that the value of correlation lies between 1 and -1, which is true but does not explain why a correlation coefficient between 0.75 and 1 represents a high degree of positive correlation, or why a correlation coefficient between -0.75 and -1 represents a high degree of negative correlation.

Hence, option B is the correct answer as both the Assertion and Reason are true, but the Reason is not the correct explanation of the Assertion.

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Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): When correlation coefficient (r) is between +0.75 and +1, high degree of positive correlation and when it is between –0.75 to –1 high degree of negative correlation.Reason (R): The value of correlation lies between + 1 and – 1.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).c)Assertion (A) is true, but Reason (R) is false.d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer?

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Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): When correlation coefficient (r) is between +0.75 and +1, high degree of positive correlation and when it is between –0.75 to –1 high degree of negative correlation.Reason (R): The value of correlation lies between + 1 and – 1.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).c)Assertion (A) is true, but Reason (R) is false.d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): When correlation coefficient (r) is between +0.75 and +1, high degree of positive correlation and when it is between –0.75 to –1 high degree of negative correlation.Reason (R): The value of correlation lies between + 1 and – 1.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).c)Assertion (A) is true, but Reason (R) is false.d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): When correlation coefficient (r) is between +0.75 and +1, high degree of positive correlation and when it is between –0.75 to –1 high degree of negative correlation.Reason (R): The value of correlation lies between + 1 and – 1.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).c)Assertion (A) is true, but Reason (R) is false.d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer?.

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