We assume that 2x + 3y - 6 = 0 to be the line of regression of y on x. Show 2x + 3y - 6 = 0 ⇒ `x = - 3/2y + 3` ⇒ `"bxy" = - 3/2` 5x + 7y - 12 = 0 to be the line of regression of x on y. 5x + 7y - 12 = 0 ⇒ `y = - 5/7x + 12/7` ⇒ `"byx" = - 5/7` Now, r = `sqrt("bxy.byx") = sqrt(15/14)` byx = `(rσ_y)/(σ_x) = - 5/7, "bxy" = (rσ_x)/(σ_y) = - 3/2` ⇒ `(σ_x^2)/(σ_y^2) = (3/2)/(5/7)` ⇒ `(σ_x^2)/(σ_y^2) = 21/10` ⇒ `(σ_x)/(σ_y) = sqrt(21/10)`.  ← Prev Question Next Question → 0 votes 14.4k views
asked Jul 4, 2020 in Mathematics by Siwani01 (50.6k points) Two regression lines are represented by 2x + 3y – 10 = 0 and 4x + y – 5 = 0. Find the line of regression of y on x.
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answered Jul 4, 2020 by
Vikram01 (51.7k points) Best answer Given regression lines are Now, from eq. (i) 3y = -2x + 10 ← Prev Question Next Question → Find MCQs & Mock Test
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... How do you find the regression line X on Y and Y on X?There are two lines of regression- that of Y on X and X on Y. The line of regression of Y on X is given by Y = a + bX where a and b are unknown constants known as intercept and slope of the equation. This is used to predict the unknown value of variable Y when value of variable X is known.
How do you find the correlation coefficient of a regression line?Correlation in Linear Regression
The correlation coefficient also relates directly to the regression line Y = a + bX for any two variables, where .
What are the two lines of regression?Regression Lines : Regression line is that line which gives the best estimate of dependent variable for any given value of independent variable. If we take the case of two variables X and Y we shall have two regression lines as the regression of X on Y and the regression of Y on X.
What is the product of regression coefficients?The product of regression coefficient of y on x and regression coefficient of x on y is always less than or equal to 1. So b x y × b y x ≤ 1 where bxy and byx are coefficient of regression. The signs of both coefficients should be same.
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The regression line of x on y is 2x+3y 5 = 0, then the regression coefficient of x on y is
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