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If the two regression lines are x y= 1 and x-y= 1 then x mean and y mean are?
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If the two regression lines are x y= 1 and x-y= 1 then x mean and y me...
Regression Lines:

  • Regression line 1: x y = 1

  • Regression line 2: x - y = 1



Calculating x and y mean:

  • To calculate the mean of x, we need to find the average value of all the x values in the dataset.

  • To calculate the mean of y, we need to find the average value of all the y values in the dataset.

  • We can use the regression lines to find the values of x and y that satisfy both equations.



Finding x and y values:

  • From regression line 1, we can solve for y: y = 1/x.

  • Substituting this value for y into regression line 2 gives us: x - 1/x = 1.

  • Multiplying both sides by x gives us: x^2 - 1 = x.

  • So we have a quadratic equation: x^2 - x - 1 = 0.

  • Solving for x using the quadratic formula gives us: x = (1 ± √5)/2.

  • Plugging these values into regression line 1 gives us the corresponding y values: y = 2/(1 ± √5).



Calculating x and y mean:

  • To calculate the mean of x, we add up the values of x and divide by the total number of values: (1 + √5)/2.

  • To calculate the mean of y, we add up the values of y and divide by the total number of values: 2/(1 + √5) + 2/(1 - √5) = 0.



Therefore, the mean of x is (1 + √5)/2 and the mean of y is 0.
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If the two regression lines are x y= 1 and x-y= 1 then x mean and y mean are?
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