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If two regression coefficients are -0.8 and -0.2 then the value of coefficient of correlation is A)-0.16 B)0.50 C)0.40 D)-0.40 can you solve this problem?
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If two regression coefficients are -0.8 and -0.2 then the value of coe...
Calculation of the coefficient of correlation
To calculate the coefficient of correlation from two regression coefficients, we can use the following formula:
r = (b1 * b2) / (sqrt(b1^2 + 1) * sqrt(b2^2 + 1))
Where b1 and b2 are the regression coefficients.
Substitution of values
Substituting the given values, we get:
r = (-0.8 * -0.2) / (sqrt((-0.8)^2 + 1) * sqrt((-0.2)^2 + 1))
Simplifying this expression, we get:
r = 0.16 / (sqrt(0.64 + 1) * sqrt(0.04 + 1))
r = 0.16 / (sqrt(1.64) * sqrt(1.04))
r = 0.16 / (1.282 * 1.02)
r = 0.16 / 1.308
Final answer
r = 0.1224
Therefore, the coefficient of correlation is approximately 0.12, which is not one of the answer choices. However, we can see that the closest answer choice is D) -0.40, which is the negative of the calculated value. This suggests that there may be an error in the answer choices, or that the question is incomplete or ambiguous.
To calculate the coefficient of correlation from two regression coefficients, we can use the following formula:
r = (b1 * b2) / (sqrt(b1^2 + 1) * sqrt(b2^2 + 1))
Where b1 and b2 are the regression coefficients.
Substitution of values
Substituting the given values, we get:
r = (-0.8 * -0.2) / (sqrt((-0.8)^2 + 1) * sqrt((-0.2)^2 + 1))
Simplifying this expression, we get:
r = 0.16 / (sqrt(0.64 + 1) * sqrt(0.04 + 1))
r = 0.16 / (sqrt(1.64) * sqrt(1.04))
r = 0.16 / (1.282 * 1.02)
r = 0.16 / 1.308
Final answer
r = 0.1224
Therefore, the coefficient of correlation is approximately 0.12, which is not one of the answer choices. However, we can see that the closest answer choice is D) -0.40, which is the negative of the calculated value. This suggests that there may be an error in the answer choices, or that the question is incomplete or ambiguous.
Community Answer
If two regression coefficients are -0.8 and -0.2 then the value of coe...
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If two regression coefficients are -0.8 and -0.2 then the value of coefficient of correlation is A)-0.16 B)0.50 C)0.40 D)-0.40 can you solve this problem?
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If two regression coefficients are -0.8 and -0.2 then the value of coefficient of correlation is A)-0.16 B)0.50 C)0.40 D)-0.40 can you solve this problem? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If two regression coefficients are -0.8 and -0.2 then the value of coefficient of correlation is A)-0.16 B)0.50 C)0.40 D)-0.40 can you solve this problem? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two regression coefficients are -0.8 and -0.2 then the value of coefficient of correlation is A)-0.16 B)0.50 C)0.40 D)-0.40 can you solve this problem?.
If two regression coefficients are -0.8 and -0.2 then the value of coefficient of correlation is A)-0.16 B)0.50 C)0.40 D)-0.40 can you solve this problem? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If two regression coefficients are -0.8 and -0.2 then the value of coefficient of correlation is A)-0.16 B)0.50 C)0.40 D)-0.40 can you solve this problem? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two regression coefficients are -0.8 and -0.2 then the value of coefficient of correlation is A)-0.16 B)0.50 C)0.40 D)-0.40 can you solve this problem?.
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