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If two regression lines are x+y=1 and x-y=1 then mean values of x and y be?
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If two regression lines are x+y=1 and x-y=1 then mean values of x and ...
Mean values of x and y for regression lines x y=1 and x-y=1



  • The two regression lines are x y=1 and x-y=1.

  • To find the mean values of x and y, we need to solve the two equations simultaneously.

  • Let's first rearrange the second equation to solve for y: y = x - 1.

  • Substituting this value of y into the first equation, we get: x(x-1) = 1.

  • Expanding and rearranging this equation, we get: x^2 - x - 1 = 0.

  • Using the quadratic formula, we get: x = (1 ± √5) / 2.

  • Since the regression lines intersect at a 90-degree angle, the mean value of x is the average of these two solutions, which is x = (1 + √5) / 2.

  • To find the mean value of y, we can substitute this value of x into either of the original equations and solve for y.

  • Using the first equation, we get: y = 1 / x = 2 / (1 + √5).

  • Therefore, the mean values of x and y for the regression lines x y=1 and x-y=1 are x = (1 + √5) / 2 and y = 2 / (1 + √5).

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If two regression lines are x+y=1 and x-y=1 then mean values of x and ...
X=1,y=0. Flow Elimination Method .
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If two regression lines are x+y=1 and x-y=1 then mean values of x and y be?
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