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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 Answers?
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Which of the following is/are true regarding regression coefficient? A...
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:
A) If bxy greater 0, then r lesser than 0:
- When the regression coefficient (bxy) is greater than 0, it indicates a positive relationship between the two variables. In this case, the correlation coefficient (r) will also be greater than 0, showing a positive correlation between the variables.
B) If bxy lesser than 0, then r greater than 0:
- On the other hand, if the regression coefficient (bxy) is less than 0, it signifies a negative relationship between the variables. Consequently, the correlation coefficient (r) will be less than 0, indicating a negative correlation.
C) If the variables x and y are independent, the regression coefficient is zero:
- When the variables x and y are independent of each other, the regression coefficient will be zero. This implies that there is no linear relationship between the two variables.
D) The range of regression coefficient is -1 to +1:
- The regression coefficient can range from -1 to +1. A coefficient of -1 indicates a perfect negative relationship, +1 indicates a perfect positive relationship, and 0 indicates no relationship between the variables.
In conclusion, understanding regression coefficients is essential in analyzing the relationship between variables and interpreting the results of regression analysis accurately.
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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 Answers?
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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 Answers? 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 Answers? 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 Answers?.
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 Answers? 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 Answers? 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 Answers?.
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