CA Foundation Exam > CA Foundation Questions > If u 5x=6and 3y-7v=20 and the correlation bet...
Start Learning for Free
If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v?
Most Upvoted Answer
If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what...
Calculation of Correlation Coefficient between u and v
Step 1: Find the value of u
Given: 5x = 6
Dividing both sides by 5, we get:
x = 6/5
Therefore, u = 5x = 5(6/5) = 6
Step 2: Find the value of v
Given: 3y - 7v = 20
Rearranging the above equation, we get:
v = (3y - 20)/7
Step 3: Find the correlation coefficient between u and v
We know that the correlation coefficient between x and y is 0.58
Using the formula for correlation coefficient, we get:
r_xy = ∑(x - x̄)(y - ȳ) / √(∑(x - x̄)² ∑(y - ȳ)²)
where x̄ and ȳ are the means of x and y respectively
Substituting the given values, we get:
0.58 = ∑(x - 6/5)(y - ȳ) / √(∑(x - 6/5)² ∑(y - ȳ)²)
Now, we need to find the correlation coefficient between u and v, denoted by r_uv.
Using the formula for correlation coefficient, we get:
r_uv = ∑(u - ū)(v - v̄) / √(∑(u - ū)² ∑(v - v̄)²)
where ū and v̄ are the means of u and v respectively
Substituting the values of u and v, we get:
r_uv = ∑(6 - 6)(v - v̄) / √(∑(6 - 6)² ∑(v - v̄)²)
r_uv = 0 / √(0 ∑(v - v̄)²)
r_uv = 0
Therefore, the correlation coefficient between u and v is 0.
Step 1: Find the value of u
Given: 5x = 6
Dividing both sides by 5, we get:
x = 6/5
Therefore, u = 5x = 5(6/5) = 6
Step 2: Find the value of v
Given: 3y - 7v = 20
Rearranging the above equation, we get:
v = (3y - 20)/7
Step 3: Find the correlation coefficient between u and v
We know that the correlation coefficient between x and y is 0.58
Using the formula for correlation coefficient, we get:
r_xy = ∑(x - x̄)(y - ȳ) / √(∑(x - x̄)² ∑(y - ȳ)²)
where x̄ and ȳ are the means of x and y respectively
Substituting the given values, we get:
0.58 = ∑(x - 6/5)(y - ȳ) / √(∑(x - 6/5)² ∑(y - ȳ)²)
Now, we need to find the correlation coefficient between u and v, denoted by r_uv.
Using the formula for correlation coefficient, we get:
r_uv = ∑(u - ū)(v - v̄) / √(∑(u - ū)² ∑(v - v̄)²)
where ū and v̄ are the means of u and v respectively
Substituting the values of u and v, we get:
r_uv = ∑(6 - 6)(v - v̄) / √(∑(6 - 6)² ∑(v - v̄)²)
r_uv = 0 / √(0 ∑(v - v̄)²)
r_uv = 0
Therefore, the correlation coefficient between u and v is 0.
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 u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v?
Question Description
If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v? 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 u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v?.
If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v? 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 u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v?.
Solutions for If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v? 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 u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v? defined & explained in the simplest way possible. Besides giving the explanation of
If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v?, a detailed solution for If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v? has been provided alongside types of If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v? theory, EduRev gives you an
ample number of questions to practice If u 5x=6and 3y-7v=20 and the correlation between x and y is 0.58 what is correlation coefficient between u and v? 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