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When r=0 the regression lines are A) parallel to each other B) Perpendicular to each other C)coincides D)either a) or b) above?
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When r=0 the regression lines are A) parallel to each other B) Perpend...
Parallel or Perpendicular Regression Lines when r=0
Regression lines are used to represent the relationship between two variables in a dataset. When the correlation coefficient (r) between two variables is 0, it indicates that there is no linear relationship between them.
Parallel Regression Lines
- When r=0, it means that there is no correlation between the two variables. In this case, the regression lines will be parallel to each other.
- Parallel regression lines indicate that the two variables do not have a linear relationship with each other, but they may still have a different type of relationship (e.g., quadratic, exponential).
Perpendicular Regression Lines
- When r=0, it does not imply that the regression lines are perpendicular to each other. The correlation coefficient specifically measures the linear relationship between variables, not the angle between regression lines.
Conclusion
- Therefore, when r=0, the regression lines are parallel to each other because there is no linear relationship between the two variables. It is essential to understand that correlation coefficient of 0 does not imply perpendicular regression lines, but rather indicates the absence of a linear relationship.
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When r=0 the regression lines are A) parallel to each other B) Perpendicular to each other C)coincides D)either a) or b) above?
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When r=0 the regression lines are A) parallel to each other B) Perpendicular to each other C)coincides D)either a) or b) above? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about When r=0 the regression lines are A) parallel to each other B) Perpendicular to each other C)coincides D)either a) or b) above? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When r=0 the regression lines are A) parallel to each other B) Perpendicular to each other C)coincides D)either a) or b) above?.
When r=0 the regression lines are A) parallel to each other B) Perpendicular to each other C)coincides D)either a) or b) above? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about When r=0 the regression lines are A) parallel to each other B) Perpendicular to each other C)coincides D)either a) or b) above? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When r=0 the regression lines are A) parallel to each other B) Perpendicular to each other C)coincides D)either a) or b) above?.
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