Question

for the regression equation of y on x, 2x+3y +50=0.the value of byx is​

Answer 1

SOLUTION

GIVEN

For the regression equation of y on x

2x + 3y + 50 = 0

CONCEPT TO BE IMPLEMENTED

If among the two variables x and y in a bivariate distribution, y is taken as dependent variable and x as independent variable then the corresponding regression curve like y = f(x) is known as regression curve of y on x

From this curve we may get approximately the value of the variable y by knowing the variable x

TO DETERMINE

$\sf{The \: value \: of \: \: b_{yx}}$

EVALUATION

The given equation of the regression equation of y on x

2x + 3y + 50 = 0

Which can be rewritten as

$\sf{3 y = - 2x - 50 \: }$

$\implies \displaystyle \sf{y =- \frac{2}{3} x - \frac{50}{3} \: }$

Hence the regression coefficient of y on x

$= \sf{b_{yx }}$

$\displaystyle \sf{ =- \frac{2}{3} \: }$

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Answer 2

Step-by-step explanation:

2x+3y+50=0

• 3y=-2x-50
• y=-2x-50÷3
• y=-2x/3 -50/3
• so..byx=-2/3