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If the relation between x and u is 3x 4u 7=0 and the correlation coefficient between xand y is -0. 6 then what is the correlation coefficient between u and y?
Most Upvoted Answer
If the relation between x and u is 3x 4u 7=0 and the correlation coeff...
Correlation Coefficient between U and Y
Given Information
- The relation between x and u: 3x + 4u + 7 = 0
- The correlation coefficient between x and y: -0.6
Explanation
To find the correlation coefficient between u and y, we need to first express u in terms of x using the given relation and then substitute that expression in the equation of correlation coefficient between x and y.
From the given relation, we have:
3x + 4u + 7 = 0
4u = -3x - 7
u = (-3/4)x - (7/4)
Now, we substitute this expression for u in terms of x in the correlation coefficient equation:
rxy = cov(x,y) / (sigma(x) * sigma(y))
We know that cov(x,y) = rxy * sigma(x) * sigma(y)
Substituting the expression for u in terms of x, we get:
cov(x,y) = rxy * sigma(x) * sigma(y) = rx(u) * sigma(x) * sigma(u) * ruy * sigma(u) * sigma(y)
Therefore, the correlation coefficient between u and y is:
ruy = cov(u,y) / (sigma(u) * sigma(y)) = (cov(x,y) / (sigma(x) * sigma(y))) / (rx(u) * sigma(u) / sigma(x)) = rxy / (rx(u) * sigma(u) / sigma(x))
Final Answer
Substituting the given values, we get:
ruy = -0.6 / (-0.6 * (3/4) / 1) = 0.8
Therefore, the correlation coefficient between u and y is 0.8.
Community Answer
If the relation between x and u is 3x 4u 7=0 and the correlation coeff...
Answer is +0.6
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If the relation between x and u is 3x 4u 7=0 and the correlation coefficient between xand y is -0. 6 then what is the correlation coefficient between u and y?
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If the relation between x and u is 3x 4u 7=0 and the correlation coefficient between xand y is -0. 6 then what is the correlation coefficient between u and y? 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 the relation between x and u is 3x 4u 7=0 and the correlation coefficient between xand y is -0. 6 then what is the correlation coefficient between u and y? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the relation between x and u is 3x 4u 7=0 and the correlation coefficient between xand y is -0. 6 then what is the correlation coefficient between u and y?.
If the relation between x and u is 3x 4u 7=0 and the correlation coefficient between xand y is -0. 6 then what is the correlation coefficient between u and y? 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 the relation between x and u is 3x 4u 7=0 and the correlation coefficient between xand y is -0. 6 then what is the correlation coefficient between u and y? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the relation between x and u is 3x 4u 7=0 and the correlation coefficient between xand y is -0. 6 then what is the correlation coefficient between u and y?.
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