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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

योग

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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अध्याय 2.3: Linear Regression - Q.4

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