JEE Exam  >  JEE Questions  >  If the coefficient of correlation between x a... Start Learning for Free
If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series is
  • a)
    9.8
  • b)
    10.1
  • c)
    9.05
  • d)
    10.05
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the coefficient of correlation between x and y is 0.28, covariance ...
Given information:
- Coefficient of correlation between x and y is 0.28
- Covariance between x and y is 7.6
- Variance of x is 9

To find: The standard deviation of the y series.

Formula:
The formula to find the standard deviation is:
Standard deviation (σ) = √Variance (σ²)

Where,
Variance (σ²) = Covariance (cov(x,y)) / Variance of x (σ²x)

Step-by-step solution:

1. Calculate the variance of x:
Variance of x (σ²x) = 9

2. Calculate the covariance between x and y:
Covariance (cov(x,y)) = 7.6

3. Use the formula to find the variance of y:
Variance of y (σ²y) = Covariance (cov(x,y)) / Variance of x (σ²x)
= 7.6 / 9
= 0.8444

4. Finally, find the standard deviation of y:
Standard deviation of y (σy) = √Variance of y (σ²y)
= √0.8444
= 0.9195

Therefore, the standard deviation of the y series is approximately 0.9195, which is closest to option 'C' (9.05).
Explore Courses for JEE exam
If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer?
Question Description
If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series isa)9.8b)10.1c)9.05d)10.05Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev