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The equations of the two lines of regression are 6x + y − 31 = 0 and 3x + 2y – 26 = 0. Identify the regression lines - Mathematics and Statistics

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प्रश्न

The equations of the two lines of regression are 6x + y − 31 = 0 and 3x + 2y – 26 = 0. Identify the regression lines

बेरीज
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उत्तर

Let 3x + 2y – 26 = 0 be the regression equation of Y on X

∴ The equation becomes 2Y = −3X + 26

i.e., Y = `(-3)/2 "X" + 26/2`

Comparing it with Y = bYX X + a, we get

bYX = `(-3)/2`

Now, the other equation 6x + y − 31 = 0 is the regression equation of X on Y.

∴ The equation becomes 6X = − Y + 31

i.e., X = `(-1)/6 "Y" + 31/6`

Comparing it with X = bXY Y+ a', we get

bxy = `(-1)/6`

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पाठ 2.3: Linear Regression - Q.4

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The equations given of the two regression lines are 2x + 3y - 6 = 0 and 5x + 7y - 12 = 0.

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Given the following data, obtain a linear regression estimate of X for Y = 10, `bar x = 7.6, bar y = 14.8, sigma_x = 3.2, sigma_y = 16` and r = 0.7


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The equations of the two lines of regression are 3x + 2y − 26 = 0 and 6x + y − 31 = 0 Find

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Regression equation of X on Y is_________


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y = 5 + 2.8x and x = 3 + 0.5y be the regression lines of y on x and x on y respectively, then byx = – 0.5


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The equations of the two lines of regression are 2x + 3y − 6 = 0 and 5x + 7y − 12 = 0. Identify the regression lines


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If n = 5, Σx = Σy = 20, Σx2 = Σy2 = 90, Σxy = 76 Find the regression equation of x on y


The regression equation of x on y is 40x – 18y = 214  ......(i)

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∴ byx = `square/square`

∴ bxy = `square/square`

∴ r = `square`

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∴ `b_(yx)=(sum(x_i-barx)(y_i-bary))/(sum(x_i-barx)^2)=square`

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Solution: Line of regression of Y on X is

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∴ Y − 12 = −4

∴ Y = `square`


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