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Given the regression equations as 2x-3y=10 and 3x 4y=15 , which one is the regression equation of y on x?
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Given the regression equations as 2x-3y=10 and 3x 4y=15 , which one is...
Regression Equation of y on x
- Definition: The regression equation of y on x represents the relationship between the dependent variable y and the independent variable x. It shows how the dependent variable y changes with a unit change in the independent variable x.
- Given Equations:
1. 2x - 3y = 10
2. 3x + 4y = 15
- Identifying the Regression Equation of y on x:
To determine the regression equation of y on x, we need to isolate y on one side of the equation in terms of x.
- Step 1: Rearrange the given equations to isolate y:
1. 2x - 3y = 10
-3y = -2x + 10
y = (2/3)x - 10/3
2. 3x + 4y = 15
4y = -3x + 15
y = (-3/4)x + 15/4
- Comparison:
The equation y = (2/3)x - 10/3 represents the regression equation of y on x. This equation shows that for every unit increase in x, y increases by 2/3 units.
- Conclusion:
Therefore, the regression equation of y on x is y = (2/3)x - 10/3 based on the given regression equations.
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Given the regression equations as 2x-3y=10 and 3x 4y=15 , which one is the regression equation of y on x?
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Given the regression equations as 2x-3y=10 and 3x 4y=15 , 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 2x-3y=10 and 3x 4y=15 , 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 2x-3y=10 and 3x 4y=15 , which one is the regression equation of y on x?.
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