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The coefficient of correlation between x and y is o.6. If x and y both are multiplied by -1, then the coefficient of correlation will be A)0.6 B)-0.6 C)1/0.6 D)1-(0.6)^2?
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The coefficient of correlation between x and y is o.6. If x and y both...
Effect of Multiplying x and y by -1 on the Coefficient of Correlation
Given:
- Coefficient of correlation between x and y is 0.6
Effect of Multiplying x and y by -1:
- When both x and y are multiplied by -1, the direction of both variables is reversed, but the strength of the relationship remains the same.
Calculating the New Coefficient of Correlation:
- Since the correlation coefficient measures the strength and direction of a linear relationship between two variables, multiplying both variables by a constant does not change the correlation coefficient.
- Therefore, the new coefficient of correlation after multiplying x and y by -1 will still be 0.6.
Answer:
- The coefficient of correlation will remain the same at 0.6 after multiplying x and y by -1.
This explanation clarifies how multiplying both x and y by -1 does not affect the correlation coefficient, which remains the same at 0.6.
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The coefficient of correlation between x and y is o.6. If x and y both are multiplied by -1, then the coefficient of correlation will be A)0.6 B)-0.6 C)1/0.6 D)1-(0.6)^2?
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The coefficient of correlation between x and y is o.6. If x and y both are multiplied by -1, then the coefficient of correlation will be A)0.6 B)-0.6 C)1/0.6 D)1-(0.6)^2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The coefficient of correlation between x and y is o.6. If x and y both are multiplied by -1, then the coefficient of correlation will be A)0.6 B)-0.6 C)1/0.6 D)1-(0.6)^2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coefficient of correlation between x and y is o.6. If x and y both are multiplied by -1, then the coefficient of correlation will be A)0.6 B)-0.6 C)1/0.6 D)1-(0.6)^2?.
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