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Which of the following is/are false regarding regression coefficient? A)if one of the regression coefficient is greater than unity the other one is less than unity B)the product of two regression coefficient is equal to the square of the correlation coefficient between the two variables C)the regression coefficient lies between -infinity to +infinity D)none of the above?
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Which of the following is/are false regarding regression coefficient? ...


False Statements Regarding Regression Coefficient

A) if one of the regression coefficient is greater than unity the other one is less than unity
- This statement is false. The regression coefficients can both be greater than unity or both be less than unity depending on the relationship between the variables being analyzed. The values of the coefficients are not directly related to each other in this way.

B) the product of two regression coefficient is equal to the square of the correlation coefficient between the two variables
- This statement is true. The product of the two regression coefficients is indeed equal to the square of the correlation coefficient between the two variables. This relationship is a key aspect of regression analysis.

C) the regression coefficient lies between -infinity to +infinity
- This statement is false. The regression coefficient can take on any real value, but it is not unbounded. It is limited by the range of the data being analyzed and the relationship between the variables.

Therefore, the false statement regarding regression coefficient is option A) "if one of the regression coefficient is greater than unity the other one is less than unity." The other statements are either true or partially true in the case of option B.
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Which of the following is/are false regarding regression coefficient? A)if one of the regression coefficient is greater than unity the other one is less than unity B)the product of two regression coefficient is equal to the square of the correlation coefficient between the two variables C)the regression coefficient lies between -infinity to +infinity D)none of the above?
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Which of the following is/are false regarding regression coefficient? A)if one of the regression coefficient is greater than unity the other one is less than unity B)the product of two regression coefficient is equal to the square of the correlation coefficient between the two variables C)the regression coefficient lies between -infinity to +infinity D)none of the above? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Which of the following is/are false regarding regression coefficient? A)if one of the regression coefficient is greater than unity the other one is less than unity B)the product of two regression coefficient is equal to the square of the correlation coefficient between the two variables C)the regression coefficient lies between -infinity to +infinity D)none of the above? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is/are false regarding regression coefficient? A)if one of the regression coefficient is greater than unity the other one is less than unity B)the product of two regression coefficient is equal to the square of the correlation coefficient between the two variables C)the regression coefficient lies between -infinity to +infinity D)none of the above?.
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