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The correlation coefficient being –1 if the slope of the straight line in a scatter diagram is
- a)positive
- b)negative
- c)zero
- d)none
Correct answer is option 'B'. Can you explain this answer?
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The correlation coefficient being 1 if the slope of the straight line ...
Explanation:
Correlation Coefficient:
- The correlation coefficient is a measure that determines the strength and direction of a relationship between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative relationship, 0 indicating no relationship, and 1 indicating a perfect positive relationship.
Scatter Diagram:
- A scatter diagram is a visual representation of the relationship between two variables. Each point on the diagram represents a pair of values for the two variables.
Slope of the Straight Line:
- The slope of the straight line in a scatter diagram represents the direction and strength of the relationship between the two variables. A positive slope indicates a positive relationship, a negative slope indicates a negative relationship, and a zero slope indicates no relationship.
Correlation Coefficient of 1:
- When the correlation coefficient is 1, it indicates a perfect positive relationship between the two variables. This means that as one variable increases, the other variable also increases in a linear fashion.
Conclusion:
- Therefore, if the correlation coefficient is 1, the slope of the straight line in the scatter diagram will be positive. This is because a correlation coefficient of 1 signifies a perfect positive relationship between the variables, which is reflected in the positive slope of the straight line in the diagram.
Correlation Coefficient:
- The correlation coefficient is a measure that determines the strength and direction of a relationship between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative relationship, 0 indicating no relationship, and 1 indicating a perfect positive relationship.
Scatter Diagram:
- A scatter diagram is a visual representation of the relationship between two variables. Each point on the diagram represents a pair of values for the two variables.
Slope of the Straight Line:
- The slope of the straight line in a scatter diagram represents the direction and strength of the relationship between the two variables. A positive slope indicates a positive relationship, a negative slope indicates a negative relationship, and a zero slope indicates no relationship.
Correlation Coefficient of 1:
- When the correlation coefficient is 1, it indicates a perfect positive relationship between the two variables. This means that as one variable increases, the other variable also increases in a linear fashion.
Conclusion:
- Therefore, if the correlation coefficient is 1, the slope of the straight line in the scatter diagram will be positive. This is because a correlation coefficient of 1 signifies a perfect positive relationship between the variables, which is reflected in the positive slope of the straight line in the diagram.
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The correlation coefficient being 1 if the slope of the straight line in a scatter diagram isa)positiveb)negativec)zerod)noneCorrect answer is option 'B'. Can you explain this answer?
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The correlation coefficient being 1 if the slope of the straight line in a scatter diagram isa)positiveb)negativec)zerod)noneCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The correlation coefficient being 1 if the slope of the straight line in a scatter diagram isa)positiveb)negativec)zerod)noneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The correlation coefficient being 1 if the slope of the straight line in a scatter diagram isa)positiveb)negativec)zerod)noneCorrect answer is option 'B'. Can you explain this answer?.
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