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Given the regression equations as 3x+y 13 a * d2x + 5y = 20 Find regression equation of y on x?
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Given the regression equations as 3x+y 13 a * d2x + 5y = 20 Find regre...
Understanding the Problem
To find the regression equation of \(y\) on \(x\) from the given equations, we first need to interpret the equations provided.
Given Equations
1. \(3x + y = 13\)
2. \(a \cdot d^2x + 5y = 20\)
Here, we will derive the regression equation using the first equation.
Step 1: Rearranging the First Equation
We can rearrange the first equation to express \(y\) in terms of \(x\):
- From \(3x + y = 13\):
Step 2: Formulating the Regression Equation
The regression equation of \(y\) on \(x\) can be expressed in the form:
- \(y = mx + c\)
Where \(m\) is the slope and \(c\) is the intercept.
In our rearranged equation:
- \(y = -3x + 13\)
Here, \(m = -3\) and \(c = 13\).
Step 3: Final Regression Equation
Thus, the regression equation of \(y\) on \(x\) is:
- Regression Equation: \(y = -3x + 13\)
Conclusion
This equation indicates that for every unit increase in \(x\), \(y\) decreases by 3 units, with an intercept of 13 when \(x = 0\).
To find the regression equation of \(y\) on \(x\) from the given equations, we first need to interpret the equations provided.
Given Equations
1. \(3x + y = 13\)
2. \(a \cdot d^2x + 5y = 20\)
Here, we will derive the regression equation using the first equation.
Step 1: Rearranging the First Equation
We can rearrange the first equation to express \(y\) in terms of \(x\):
- From \(3x + y = 13\):
- Subtract \(3x\) from both sides:
- \(y = 13 - 3x\)
Step 2: Formulating the Regression Equation
The regression equation of \(y\) on \(x\) can be expressed in the form:
- \(y = mx + c\)
Where \(m\) is the slope and \(c\) is the intercept.
In our rearranged equation:
- \(y = -3x + 13\)
Here, \(m = -3\) and \(c = 13\).
Step 3: Final Regression Equation
Thus, the regression equation of \(y\) on \(x\) is:
- Regression Equation: \(y = -3x + 13\)
Conclusion
This equation indicates that for every unit increase in \(x\), \(y\) decreases by 3 units, with an intercept of 13 when \(x = 0\).
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Given the regression equations as 3x+y 13 a * d2x + 5y = 20 Find regression equation of y on x?
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Given the regression equations as 3x+y 13 a * d2x + 5y = 20 Find regression equation of y on x? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Given the regression equations as 3x+y 13 a * d2x + 5y = 20 Find regression equation of y on x? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given the regression equations as 3x+y 13 a * d2x + 5y = 20 Find regression equation of y on x?.
Given the regression equations as 3x+y 13 a * d2x + 5y = 20 Find regression equation of y on x? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Given the regression equations as 3x+y 13 a * d2x + 5y = 20 Find regression equation of y on x? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given the regression equations as 3x+y 13 a * d2x + 5y = 20 Find regression equation of y on x?.
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