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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 - Mathematics and Statistics

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प्रश्न

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

बेरीज
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उत्तर

Let 2x + 3y − 6 = 0 be the regression equation of Y on X

∴ The equation becomes 3Y = −2X + 6

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

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

bYX = `(-2)/3`

Now, the other equation 5x + 7y − 12 = 0 is the regression equation of X on Y.

∴ The equation becomes 5X = − 7Y + 12

i.e., X = `(-7)/5 "Y" + 12/5`

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

bxy = `(-7)/5`

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पाठ 2.3: Linear Regression - Q.4

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