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If the angle between two lines of regression is 900, then it represents
- a)no linear correlation
- b)perfect positive correlation
- c)perfect negative correlation
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the angle between two lines of regression is900, then it represents...
Explanation:
When we talk about the angle between two lines of regression, we are referring to the angle between the regression lines of two variables in a scatter plot. The regression line represents the best fit line that minimizes the sum of squared residuals.
No Linear Correlation:
If the angle between the two lines of regression is 90°, it indicates that there is no linear correlation between the variables. In other words, the variables are not related to each other in a linear manner. This can happen when the data points are scattered randomly and do not follow any clear pattern or trend.
Perfect Positive Correlation:
If the angle between the two lines of regression is 0°, it represents a perfect positive correlation between the variables. This means that as one variable increases, the other variable also increases in a linear manner. The data points lie close to the regression line, indicating a strong positive relationship.
Perfect Negative Correlation:
If the angle between the two lines of regression is 180°, it represents a perfect negative correlation between the variables. This means that as one variable increases, the other variable decreases in a linear manner. The data points lie close to the regression line, indicating a strong negative relationship.
Explanation of the Correct Answer:
In this case, the angle between the two lines of regression is given as 90°. Since the angle is not 0° (perfect positive correlation) or 180° (perfect negative correlation), it indicates that there is no linear correlation between the variables. The data points are scattered randomly, and there is no clear relationship between them.
Therefore, the correct answer is option 'A' - no linear correlation.
When we talk about the angle between two lines of regression, we are referring to the angle between the regression lines of two variables in a scatter plot. The regression line represents the best fit line that minimizes the sum of squared residuals.
No Linear Correlation:
If the angle between the two lines of regression is 90°, it indicates that there is no linear correlation between the variables. In other words, the variables are not related to each other in a linear manner. This can happen when the data points are scattered randomly and do not follow any clear pattern or trend.
Perfect Positive Correlation:
If the angle between the two lines of regression is 0°, it represents a perfect positive correlation between the variables. This means that as one variable increases, the other variable also increases in a linear manner. The data points lie close to the regression line, indicating a strong positive relationship.
Perfect Negative Correlation:
If the angle between the two lines of regression is 180°, it represents a perfect negative correlation between the variables. This means that as one variable increases, the other variable decreases in a linear manner. The data points lie close to the regression line, indicating a strong negative relationship.
Explanation of the Correct Answer:
In this case, the angle between the two lines of regression is given as 90°. Since the angle is not 0° (perfect positive correlation) or 180° (perfect negative correlation), it indicates that there is no linear correlation between the variables. The data points are scattered randomly, and there is no clear relationship between them.
Therefore, the correct answer is option 'A' - no linear correlation.
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If the angle between two lines of regression is900, then it representsa)no linear correlationb)perfect positive correlationc)perfect negative correlationd)none of theseCorrect answer is option 'A'. Can you explain this answer?
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If the angle between two lines of regression is900, then it representsa)no linear correlationb)perfect positive correlationc)perfect negative correlationd)none of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the angle between two lines of regression is900, then it representsa)no linear correlationb)perfect positive correlationc)perfect negative correlationd)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the angle between two lines of regression is900, then it representsa)no linear correlationb)perfect positive correlationc)perfect negative correlationd)none of theseCorrect answer is option 'A'. Can you explain this answer?.
If the angle between two lines of regression is900, then it representsa)no linear correlationb)perfect positive correlationc)perfect negative correlationd)none of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the angle between two lines of regression is900, then it representsa)no linear correlationb)perfect positive correlationc)perfect negative correlationd)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the angle between two lines of regression is900, then it representsa)no linear correlationb)perfect positive correlationc)perfect negative correlationd)none of theseCorrect answer is option 'A'. Can you explain this answer?.
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