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Ia tha regression line of y on x and of x on y are given by 2x 3y=-1 and 5x 6y=-1, then the arithmetic mean of x and y are given by?
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Ia tha regression line of y on x and of x on y are given by 2x 3y=-1 a...
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
Solution:
We can solve the two regression equations simultaneously to get the values of x and y. Then, we can calculate their arithmetic mean.
Solving the equations:
Multiplying the first equation by 5 and the second equation by 2, we get:
10x + 15y = -5
10x + 12y = -2
Subtracting the second equation from the first, we get:
3y = -3
y = -1
Substituting y = -1 in the first equation, we get:
2x + 3(-1) = -1
2x = 2
x = 1
Therefore, x = 1 and y = -1.
Calculating arithmetic mean:
Arithmetic mean of x and y is given by:
(mean) = (sum of values)/(number of values)
(mean) = (x + y)/2
Substituting x = 1 and y = -1, we get:
(mean) = (1 - 1)/2 = 0/2 = 0
Therefore, the arithmetic mean of x and y is 0.
Conclusion:
The arithmetic mean of x and y is 0.
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
Solution:
We can solve the two regression equations simultaneously to get the values of x and y. Then, we can calculate their arithmetic mean.
Solving the equations:
Multiplying the first equation by 5 and the second equation by 2, we get:
10x + 15y = -5
10x + 12y = -2
Subtracting the second equation from the first, we get:
3y = -3
y = -1
Substituting y = -1 in the first equation, we get:
2x + 3(-1) = -1
2x = 2
x = 1
Therefore, x = 1 and y = -1.
Calculating arithmetic mean:
Arithmetic mean of x and y is given by:
(mean) = (sum of values)/(number of values)
(mean) = (x + y)/2
Substituting x = 1 and y = -1, we get:
(mean) = (1 - 1)/2 = 0/2 = 0
Therefore, the arithmetic mean of x and y is 0.
Conclusion:
The arithmetic mean of x and y is 0.
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Ia tha regression line of y on x and of x on y are given by 2x 3y=-1 and 5x 6y=-1, then the arithmetic mean of x and y are given by?
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Ia tha regression line of y on x and of x on y are given by 2x 3y=-1 and 5x 6y=-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 Ia tha regression line of y on x and of x on y are given by 2x 3y=-1 and 5x 6y=-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 Ia tha regression line of y on x and of x on y are given by 2x 3y=-1 and 5x 6y=-1, then the arithmetic mean of x and y are given by?.
Ia tha regression line of y on x and of x on y are given by 2x 3y=-1 and 5x 6y=-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 Ia tha regression line of y on x and of x on y are given by 2x 3y=-1 and 5x 6y=-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 Ia tha regression line of y on x and of x on y are given by 2x 3y=-1 and 5x 6y=-1, then the arithmetic mean of x and y are given by?.
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