Question
Download Solution PDFIf the correlation between X and Y is 0.3, then correlation coefficient between 2X and 3Y is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF- The correlation coefficient between 2X and 3Y is also 0.3.
- When a variable is multiplied by a constant, such as multiplying X by 2 and Y by 3, it does not affect the correlation coefficient between the two variables. The correlation coefficient is not affected by the change of scale or origin.
- The correlation coefficient measures the strength and direction of the linear relationship between two variables, and scaling or multiplying the variables by a constant does not change that relationship.
Hence if the correlation between X and Y is 0.3, the correlation coefficient between 2X and 3Y would still be 0.3.
Last updated on Jun 13, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> 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.
-> Candidates should also use the SSC CGL previous year papers for a good revision.