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Question
Choose the correct alternative:
If the lines of regression of Y on X is y = `x/4` and X on Y is x = `y/9 + 1` then the value of r is
Options
`1/6`
0
`- 1/4`
`- 1/6`
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Solution
`1/6`
RELATED QUESTIONS
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The equations of two regression lines are 10x – 4y = 80 and 10y – 9x = 40. Then bxy = 0.9
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If the regression equations are 8x – 10y + 66 = 0 and 40x – 18y = 214, the mean value of y is ______
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Solving equations (i) and (ii),
`barx = square`
`bary = square`
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∴ bxy = `square/square`
∴ r = `square`
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∴ byx = `square/square`
∴ `sigma_y = square`
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Solution:
Given:`n=8,sum(x_i-barx)=36,sum(y_i-bary)^2=40,sum(x_i-barx)(y_i-bary)=24`
∴ `b_(yx)=(sum(x_i-barx)(y_i-bary))/(sum(x_i-barx)^2)=square`
∴ `b_(xy)=(sum(x_i-barx)(y_i-bary))/(sum(y_i-bary)^2)=square`
∴ regression equation of Y on :
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`x-barx=b_(xy)(y-bary)` `x-barx=square(y-bary)`
