Question
Download Solution PDFFor an experiment we have the following data set: n = 4, ∑x = a, ∑y = 10, ∑xy = 21, ∑x2 = 30, ∑y2 = 30. If the correlation coefficient is -0.8 then the value of a is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is 10.
Key Points
- The correlation coefficient only measures linear relationships, so it does not necessarily indicate causality.
- The value of a in this data set only represents the sum of the x values and does not necessarily have a specific meaning in the context of the experiment.
- The value of a in the data set is 10.
- The correlation coefficient of -0.8 indicates a strong negative linear relationship between the two variables, x and y.
- This information along with the other statistics provided can be used to calculate a using statistical formulas.
Additional Information
- The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables.
- A correlation of -1 indicates a perfect negative linear relationship, while a correlation of 1 indicates a perfect positive linear relationship.
- The formula to calculate the correlation coefficient is: r = (n∑xy - ∑x∑y) / (√(n∑x2 - (∑x)^2) * √(n∑y2 - (∑y)^2))
- In this case, we know the value of r (-0.8), so we can rearrange the formula and solve for a.
Last updated on Jun 9, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 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 SSC CGL exam form.
-> Candidates can refer to the SSC CGL syllabus for a better understanding of the exam structure and pattern.
-> The SSC 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.