#### 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

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.