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Which of the following is/are true regarding regression coefficient? A)if bxy greater 0, then r lesser than 0 B)bxy lesser than 0,then greater than 0 C)if the variable x and y are independent the regression coefficient is zero D)the range of regression coefficient is -1 to +1 True or false?
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Which of the following is/are true regarding regression coefficient? A...
Regression Coefficient


- Statement A: False
- If b_xy is greater than 0, it means there is a positive relationship between x and y, which implies r (correlation coefficient) is also greater than 0.

- Statement B: False
- If b_xy is less than 0, it indicates a negative relationship between x and y, leading to a negative correlation coefficient.

- Statement C: True
- If x and y are independent, the regression coefficient will be zero since there is no relationship between the variables.

- Statement D: True
- The range of the regression coefficient is indeed between -1 and +1. A coefficient of +1 indicates a perfect positive relationship, while -1 signifies a perfect negative relationship. A coefficient of 0 means no relationship between the variables.

In conclusion, the regression coefficient depends on the relationship between the variables x and y. A positive coefficient shows a positive relationship, a negative coefficient indicates a negative relationship, and a coefficient of 0 implies no relationship. The range of the coefficient is between -1 and +1, representing the strength and direction of the relationship.
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Which of the following is/are true regarding regression coefficient? A)if bxy greater 0, then r lesser than 0 B)bxy lesser than 0,then greater than 0 C)if the variable x and y are independent the regression coefficient is zero D)the range of regression coefficient is -1 to +1 True or false?
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Which of the following is/are true regarding regression coefficient? A)if bxy greater 0, then r lesser than 0 B)bxy lesser than 0,then greater than 0 C)if the variable x and y are independent the regression coefficient is zero D)the range of regression coefficient is -1 to +1 True or false? 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 true regarding regression coefficient? A)if bxy greater 0, then r lesser than 0 B)bxy lesser than 0,then greater than 0 C)if the variable x and y are independent the regression coefficient is zero D)the range of regression coefficient is -1 to +1 True or false? 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 true regarding regression coefficient? A)if bxy greater 0, then r lesser than 0 B)bxy lesser than 0,then greater than 0 C)if the variable x and y are independent the regression coefficient is zero D)the range of regression coefficient is -1 to +1 True or false?.
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