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Given the regression equations as 3x y 13 and 2x 5y 20, which one is the regression equation of y on x?
Most Upvoted Answer
Given the regression equations as 3x y 13 and 2x 5y 20, which one i...
Identifying the Regression Equation of y on x
- What is a Regression Equation?
A regression equation is a mathematical formula that is used to predict a dependent variable based on one or more independent variables. It is commonly used in statistics to help understand the relationship between two or more variables.
- Understanding the Given Equations:
Given two equations:
3x y = 13
2x 5y = 20
- Identifying the Dependent and Independent Variables:
In a regression equation, the dependent variable is the one being predicted while the independent variable is the one used to make the prediction. In this case, y is the dependent variable while x is the independent variable.
- Comparing the Equations:
To identify which equation is the regression equation of y on x, we need to rearrange each equation so that y is isolated on one side of the equation:
3x - 13 = y
5y - 2x = 20
Now we can see that the first equation has y isolated on one side, so the regression equation of y on x is:
y = 3x - 13
Community Answer
Given the regression equations as 3x y 13 and 2x 5y 20, which one i...
Assume 3x+y=13 as x on y equation and 2x+5y=20 as y on x equation. From the first equation, we have bxy=(-1/3) and from the second equation, we have byx=(-2/5).Now, r^2= (-1/3) (-2/5) =2/15=0.133.As it lies between 0 and 1,then our assumption is correct. So 2nd equation is y on x equation.
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Given the regression equations as 3x y 13 and 2x 5y 20, which one is the regression equation of y on x?
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Given the regression equations as 3x y 13 and 2x 5y 20, which one is the regression equation of y on x? 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 Given the regression equations as 3x y 13 and 2x 5y 20, which one is the regression equation of y on x? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given the regression equations as 3x y 13 and 2x 5y 20, which one is the regression equation of y on x?.
Given the regression equations as 3x y 13 and 2x 5y 20, which one is the regression equation of y on x? 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 Given the regression equations as 3x y 13 and 2x 5y 20, which one is the regression equation of y on x? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given the regression equations as 3x y 13 and 2x 5y 20, which one is the regression equation of y on x?.
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