CA Foundation Exam > CA Foundation Questions > If the covariance between two variables is 20...
Start Learning for Free
If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable?
Most Upvoted Answer
If the covariance between two variables is 20 and the variance of one ...
Answer:
Given:
Covariance between two variables = 20
Variance of one variable = 16
Formula:
Covariance of two variables = (Sum of (xi - x̄) * (yi - ȳ)) / (n - 1)
Variance of a variable = Sum of (xi - x̄)² / (n - 1)
Step 1: Find the correlation coefficient
Correlation coefficient (ρ) = Covariance of two variables / (Standard deviation of variable 1 * Standard deviation of variable 2)
Standard deviation of variable 1 = square root of Variance of variable 1 = square root of 16 = 4
ρ = 20 / (4 * Standard deviation of variable 2)
Step 2: Find the standard deviation of variable 2
Standard deviation of variable 2 = 20 / (4 * ρ)
Step 3: Find the variance of variable 2
Variance of variable 2 = Standard deviation of variable 2² = (20 / (4 * ρ))²
Final answer:
The variance of the other variable is (20 / (4 * ρ))².
Given:
Covariance between two variables = 20
Variance of one variable = 16
Formula:
Covariance of two variables = (Sum of (xi - x̄) * (yi - ȳ)) / (n - 1)
Variance of a variable = Sum of (xi - x̄)² / (n - 1)
Step 1: Find the correlation coefficient
Correlation coefficient (ρ) = Covariance of two variables / (Standard deviation of variable 1 * Standard deviation of variable 2)
Standard deviation of variable 1 = square root of Variance of variable 1 = square root of 16 = 4
ρ = 20 / (4 * Standard deviation of variable 2)
Step 2: Find the standard deviation of variable 2
Standard deviation of variable 2 = 20 / (4 * ρ)
Step 3: Find the variance of variable 2
Variance of variable 2 = Standard deviation of variable 2² = (20 / (4 * ρ))²
Final answer:
The variance of the other variable is (20 / (4 * ρ))².
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
|
|
Top Courses for CA FoundationView all
If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable?
Question Description
If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable? 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 covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable?.
If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable? 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 covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable?.
Solutions for If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable? 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 covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable? defined & explained in the simplest way possible. Besides giving the explanation of
If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable?, a detailed solution for If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable? has been provided alongside types of If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable? theory, EduRev gives you an
ample number of questions to practice If the covariance between two variables is 20 and the variance of one variable is 16 what would be the variance of the other variable? 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup