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If the correlation coefficient between two variables is 1, then the two least square lines of regression are
- a)Parallel
- b)None of these
- c)coincident
- d)at right angles
Correct answer is option 'C'. Can you explain this answer?
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If the correlation coefficient between two variables is 1, then the tw...
Correlation Coefficient and Least Squares Regression Lines
The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.
Least squares regression lines are used to model the relationship between two variables. They are the lines that minimize the sum of the squared differences between the observed values and the predicted values.
If the correlation coefficient between two variables is 1, it means that there is a perfect positive linear relationship between the two variables. This implies that as one variable increases, the other variable also increases proportionally. In this case, the two least squares regression lines will be coincident.
Coincident Lines
Coincident lines are two or more lines that lie on top of each other, meaning they have the same slope and intercept. In the case of a correlation coefficient of 1, the relationship between the two variables is so strong that the two least square regression lines will be coincident.
Therefore, if the correlation coefficient between two variables is 1, the two least square lines of regression are coincident.
The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.
Least squares regression lines are used to model the relationship between two variables. They are the lines that minimize the sum of the squared differences between the observed values and the predicted values.
If the correlation coefficient between two variables is 1, it means that there is a perfect positive linear relationship between the two variables. This implies that as one variable increases, the other variable also increases proportionally. In this case, the two least squares regression lines will be coincident.
Coincident Lines
Coincident lines are two or more lines that lie on top of each other, meaning they have the same slope and intercept. In the case of a correlation coefficient of 1, the relationship between the two variables is so strong that the two least square regression lines will be coincident.
Therefore, if the correlation coefficient between two variables is 1, the two least square lines of regression are coincident.
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If the correlation coefficient between two variables is 1, then the two least square lines of regression area)Parallelb)None of thesec)coincidentd)at right anglesCorrect answer is option 'C'. Can you explain this answer?
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If the correlation coefficient between two variables is 1, then the two least square lines of regression area)Parallelb)None of thesec)coincidentd)at right anglesCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the correlation coefficient between two variables is 1, then the two least square lines of regression area)Parallelb)None of thesec)coincidentd)at right anglesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the correlation coefficient between two variables is 1, then the two least square lines of regression area)Parallelb)None of thesec)coincidentd)at right anglesCorrect answer is option 'C'. Can you explain this answer?.
If the correlation coefficient between two variables is 1, then the two least square lines of regression area)Parallelb)None of thesec)coincidentd)at right anglesCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the correlation coefficient between two variables is 1, then the two least square lines of regression area)Parallelb)None of thesec)coincidentd)at right anglesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the correlation coefficient between two variables is 1, then the two least square lines of regression area)Parallelb)None of thesec)coincidentd)at right anglesCorrect answer is option 'C'. Can you explain this answer?.
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