Question
Download Solution PDFFind regression coefficient of y on x (byx) if correlation coefficient between x and y values is 0.75 and standard deviation of x and y are 5 and 6.4 respectively.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Correlation coefficient between x on y = 0.75
Standard deviation of x and y = 5 and 6.4
Formula
Correlation coefficient ‘r’ = Cov(x,y)/SxSy
Cov(x,y) = Coveriance of x and y
Sx = Standard deviation of x
Sy = Standard deviation of y
Correlation coefficient of y on x = byx = Cov(x,y)/Sx2
Calculation
0.75 = Cov(x,y)/5 × 6.4
⇒ Cov(x,y) = 0.75 × 5 × 6.4
⇒ Cov(x,y) = 24
⇒ byx = 24/52
∴ byx = 24/25
∴ correlation coefficient of y on x is 0.96
Last updated on Jul 8, 2025
-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> The CSIR NET Exam Schedule 2025 has been released on its official website.