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The correlation coefficient between two variables X and Y is 0.4. The correlation coefficient between 2X and (-Y) will be:

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. 0.4
  2. -0.8
  3. -0.4
  4. 0.8

Answer (Detailed Solution Below)

Option 3 : -0.4
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Detailed Solution

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Given

The correlation coefficient between two variables X and Y = 0.4

Concept used

The correlation coefficient (r) is independent of origin and scale and depend on the sign of variables

Calculation

The correlation coefficient between the two variables is the measure of the slope between the variables in the regression graph. It is given that the correlation coefficient between X and Y is 0.4 and the correlation coefficient is independent of change of origin and scale but it depends on variables 

∴ The correlation coefficient between 2X and (-Y) is - 0.4

 

The value of simple correlation coefficient in the interval of [-1, 1]

The regression coefficient is independent of the change of origin. But, they are not independent of the change of the scale. It means there will be no effect on the regression coefficient if any constant is subtracted from the values of x and y

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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.

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