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The correlation coefficient between s and y is. The value of bxy-1/8 Find byx.?
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The correlation coefficient between s and y is. The value of bxy-1/8 F...
Understanding Correlation Coefficient
The correlation coefficient between two variables, s and y, measures the strength and direction of their linear relationship. It is denoted by r and can range from -1 to 1.
Given Values
- The value of bxy is provided as -1/8.
- We need to find byx.
Relation Between bxy and byx
The formulas for the regression coefficients can be expressed as follows:
- bxy = r * (σy / σx)
- byx = r * (σx / σy)
Where:
- r = correlation coefficient
- σx = standard deviation of x
- σy = standard deviation of y
Finding byx
To find byx, we can use the relationship between bxy and byx:
- bxy * byx = r2
Since we know bxy = -1/8, we can rewrite this as:
- (-1/8) * byx = r2
We also know:
- byx = r2 / (-1/8)
To find byx, we can express it as:
- byx = -8 * r2
Conclusion
To summarize, by knowing the value of bxy, we can derive byx using the formula mentioned. This relationship underscores the interconnectedness of regression coefficients and correlation in statistical analysis.
The correlation coefficient between two variables, s and y, measures the strength and direction of their linear relationship. It is denoted by r and can range from -1 to 1.
Given Values
- The value of bxy is provided as -1/8.
- We need to find byx.
Relation Between bxy and byx
The formulas for the regression coefficients can be expressed as follows:
- bxy = r * (σy / σx)
- byx = r * (σx / σy)
Where:
- r = correlation coefficient
- σx = standard deviation of x
- σy = standard deviation of y
Finding byx
To find byx, we can use the relationship between bxy and byx:
- bxy * byx = r2
Since we know bxy = -1/8, we can rewrite this as:
- (-1/8) * byx = r2
We also know:
- byx = r2 / (-1/8)
To find byx, we can express it as:
- byx = -8 * r2
Conclusion
To summarize, by knowing the value of bxy, we can derive byx using the formula mentioned. This relationship underscores the interconnectedness of regression coefficients and correlation in statistical analysis.
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The correlation coefficient between s and y is. The value of bxy-1/8 Find byx.?
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The correlation coefficient between s and y is. The value of bxy-1/8 Find byx.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The correlation coefficient between s and y is. The value of bxy-1/8 Find byx.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The correlation coefficient between s and y is. The value of bxy-1/8 Find byx.?.
The correlation coefficient between s and y is. The value of bxy-1/8 Find byx.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The correlation coefficient between s and y is. The value of bxy-1/8 Find byx.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The correlation coefficient between s and y is. The value of bxy-1/8 Find byx.?.
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