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If the relationship between two variables x and u is u + 3x-10 and between two other variables y and v is 2y+5v-25, and the regression coefficient of y on x is known as 0.80, then what would be the regression coefficient of v on u?
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If the relationship between two variables x and u is u + 3x-10 and bet...
Calculation of Regression Coefficient of v on u
Given information:
- Relationship between x and u: u + 3x - 10
- Relationship between y and v: 2y + 5v - 25
- Regression coefficient of y on x: 0.80
Explanation:
To find the regression coefficient of v on u, we need to first determine the relationship between v and u. We can do this by substituting the given relationships into the regression formula.
The regression formula for the relationship between two variables y and x is given by:
y = βx + α
where β is the regression coefficient.
Calculation:
- For the relationship between x and u: u + 3x - 10
- For the relationship between y and v: 2y + 5v - 25
Given that the regression coefficient of y on x is 0.80, we can write the relationship between y and x as:
y = 0.80x + α
Now, we need to find the relationship between v and u to determine the regression coefficient of v on u.
Substitute the given relationships:
2(0.80x + α) + 5v - 25 = v + 3u - 10
Simplify the equation to solve for the regression coefficient of v on u.
1.6x + 2α + 5v - 25 = v + 3u - 10
Equating the coefficients of x and u on both sides, we can find the regression coefficient of v on u.
Conclusion:
By solving the equation above, you can determine the regression coefficient of v on u. This process will help you analyze the relationship between the variables v and u in the given context.
Given information:
- Relationship between x and u: u + 3x - 10
- Relationship between y and v: 2y + 5v - 25
- Regression coefficient of y on x: 0.80
Explanation:
To find the regression coefficient of v on u, we need to first determine the relationship between v and u. We can do this by substituting the given relationships into the regression formula.
The regression formula for the relationship between two variables y and x is given by:
y = βx + α
where β is the regression coefficient.
Calculation:
- For the relationship between x and u: u + 3x - 10
- For the relationship between y and v: 2y + 5v - 25
Given that the regression coefficient of y on x is 0.80, we can write the relationship between y and x as:
y = 0.80x + α
Now, we need to find the relationship between v and u to determine the regression coefficient of v on u.
Substitute the given relationships:
2(0.80x + α) + 5v - 25 = v + 3u - 10
Simplify the equation to solve for the regression coefficient of v on u.
1.6x + 2α + 5v - 25 = v + 3u - 10
Equating the coefficients of x and u on both sides, we can find the regression coefficient of v on u.
Conclusion:
By solving the equation above, you can determine the regression coefficient of v on u. This process will help you analyze the relationship between the variables v and u in the given context.
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If the relationship between two variables x and u is u + 3x-10 and between two other variables y and v is 2y+5v-25, and the regression coefficient of y on x is known as 0.80, then what would be the regression coefficient of v on u?
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If the relationship between two variables x and u is u + 3x-10 and between two other variables y and v is 2y+5v-25, and the regression coefficient of y on x is known as 0.80, then what would be the regression coefficient of v on u? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the relationship between two variables x and u is u + 3x-10 and between two other variables y and v is 2y+5v-25, and the regression coefficient of y on x is known as 0.80, then what would be the regression coefficient of v on u? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the relationship between two variables x and u is u + 3x-10 and between two other variables y and v is 2y+5v-25, and the regression coefficient of y on x is known as 0.80, then what would be the regression coefficient of v on u?.
If the relationship between two variables x and u is u + 3x-10 and between two other variables y and v is 2y+5v-25, and the regression coefficient of y on x is known as 0.80, then what would be the regression coefficient of v on u? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the relationship between two variables x and u is u + 3x-10 and between two other variables y and v is 2y+5v-25, and the regression coefficient of y on x is known as 0.80, then what would be the regression coefficient of v on u? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the relationship between two variables x and u is u + 3x-10 and between two other variables y and v is 2y+5v-25, and the regression coefficient of y on x is known as 0.80, then what would be the regression coefficient of v on u?.
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