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If regression line of Y on x and x and y are given by 2 x 3 Y = -1 and 5 x 6 Y = -1 then the arithmetic mean of x and y are given by?
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If regression line of Y on x and x and y are given by 2 x 3 Y = -1 a...
Calculation of Arithmetic Mean of x and y
Given:
Regression line of Y on x: 2x + 3y = -1
Regression line of X on y: 5x + 6y = -1
To find:
Arithmetic mean of x and y
Explanation:
The regression line of Y on x is given by:
2x + 3y = -1
Solving for y, we get:
y = (-2/3)x - (1/3)
The regression line of X on y is given by:
5x + 6y = -1
Solving for x, we get:
x = (-6/5)y - (1/5)
Now, for the arithmetic mean of x and y, we need to find the sum of x and y and divide it by 2.
Sum of x and y can be found by solving the above two equations simultaneously:
(-2/3)x - y = (1/3)
(-6/5)y - x = (1/5)
Multiplying the first equation by -5/3, we get:
x + (5/3)y = (-5/9)
Adding this to the second equation, we get:
(-1/3)y = (-4/45)
Solving for y, we get:
y = (4/15)
Substituting this value of y in any of the above equations, we get:
x = (-6/5)(4/15) - (1/5)
x = (-4/15)
Therefore, the sum of x and y is:
(-4/15) + (4/15) = 0
And the arithmetic mean of x and y is:
0/2 = 0
Therefore, the arithmetic mean of x and y is 0.
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If regression line of Y on x and x and y are given by 2 x 3 Y = -1 and 5 x 6 Y = -1 then the arithmetic mean of x and y are given by?
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If regression line of Y on x and x and y are given by 2 x 3 Y = -1 and 5 x 6 Y = -1 then the arithmetic mean of x and y are given by? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If regression line of Y on x and x and y are given by 2 x 3 Y = -1 and 5 x 6 Y = -1 then the arithmetic mean of x and y are given by? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If regression line of Y on x and x and y are given by 2 x 3 Y = -1 and 5 x 6 Y = -1 then the arithmetic mean of x and y are given by?.
If regression line of Y on x and x and y are given by 2 x 3 Y = -1 and 5 x 6 Y = -1 then the arithmetic mean of x and y are given by? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If regression line of Y on x and x and y are given by 2 x 3 Y = -1 and 5 x 6 Y = -1 then the arithmetic mean of x and y are given by? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If regression line of Y on x and x and y are given by 2 x 3 Y = -1 and 5 x 6 Y = -1 then the arithmetic mean of x and y are given by?.
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