HSC Commerce (Marketing and Salesmanship) 12th Board ExamMaharashtra State Board
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Identify the Regression Equations of X on Y and Y on X from the Following Equations : 2x + 3y = 6 and 5x + 7y – 12 = 0 - HSC Commerce (Marketing and Salesmanship) 12th Board Exam - Mathematics and Statistics

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Question

Identify the regression equations of X on Y and Y on X from the following equations :
2x + 3y = 6 and 5x + 7y – 12 = 0 

Solution

Let the regression eqn. of y on x is  

2x + 3y = 6 

⇒` y=-2/3 x-2` 

Here  `b_(yx)=-2/3`                      ........(1) 

The regression eqn. of x on y is 5x + 7y – 12 = 0 

⇒ `x=(-7y)/5+12/5` 

 

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APPEARS IN

 2017-2018 (March) (with solutions)
Question 4.6 | 2.00 marks

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Solution Identify the Regression Equations of X on Y and Y on X from the Following Equations : 2x + 3y = 6 and 5x + 7y – 12 = 0 Concept: Lines of Regression of X on Y and Y on X Or Equation of Line of Regression.
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