CA Foundation Exam > CA Foundation Questions > If the relation between x and u is 3x 4u 7=0 ...
Start Learning for Free
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
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup