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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?
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Which of the following is/are true regarding regression coefficient? A...

Explanation of Regression Coefficient:

Regression coefficient is a statistical measure that represents the strength and direction of the relationship between two variables. Here are some key points regarding regression coefficient:

1. Sign of Regression Coefficient:
- A) If bxy is greater than 0, then the correlation coefficient r will also be greater than 0, indicating a positive relationship between the variables.
- B) If bxy is less than 0, then the correlation coefficient r will be less than 0, indicating a negative relationship between the variables.

2. Independence of Variables:
- C) If the variables x and y are independent, the regression coefficient will be zero. This implies that there is no linear relationship between the variables.

3. Range of Regression Coefficient:
- D) The range of the regression coefficient is not limited to -1 to +1. The correlation coefficient r is actually the standardized regression coefficient and can range from -1 to +1, indicating the strength and direction of the relationship between the variables.

In conclusion, the regression coefficient is a crucial measure in understanding the relationship between variables. It provides valuable insights into the direction and strength of the relationship, helping in making informed decisions in various fields such as economics, finance, and social sciences.
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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?
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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? 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? 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?.
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