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If two lines of Regression are respectiv...

If two lines of Regression are respectively y=ax+b and x=`alphay+beta.` If the two variables have the same mean, then `b//beta`=

A

`(1-a)/(1-alpha)`

B

`(1+a)/(1+alpha)`

C

`(1-alpha)/(1-alpha)`

D

`(1+alpha)/(1+a)`

Text Solution

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The correct Answer is:
A
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ML KHANNA-CORRELATION AND REGRESSION -PROBLEM SET (1) (MCQ)
  1. Two random variables have the least squares regression lines 3x+2y-26=...

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  2. The lines of regression of y on x and x on y are respectively y=x and ...

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  3. The regression lines of x on y and y on x are x=4y+5 and y=kx+4 respec...

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  4. For two variables x and y, the two regression lines are x+2y-5=0, 2x+3...

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  5. For 10 observations on price (x) and supply (y) the following data wer...

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  6. If two lines of Regression are respectively y=ax+b and x=alphay+beta. ...

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  7. r(xy)lt0, according as

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  8. The correlation between two variables x and y is given to be r. The va...

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  9. If U=aX+b, and V=-cY+d where a and c positive. If r(U,V)=0.6, then r(X...

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  10. Let X and Y be two variables with the same variance and let U=X+Y,V=X-...

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  11. If Z=aX+bY and r is the correlation coefficient between X and Y, then ...

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  12. If X and Y are two independent variables with sigma(X)^(2)=36,sigma(Y)...

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  13. The coefficient of correlation is independent of

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  14. If both the regression coefficients b(YX) and b(XY) are positive, then

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  15. If the slopes of the line of regression of Y and X and of X and Y are ...

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  16. If the two lines of regression are 3x+y=15 and x+4y=3, then value of x...

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  17. The coefficient of correlation between random variables X and Y is 0.2...

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  18. Linear relation between the variables is given by the equation ax+by+c...

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  19. The lines of regression of y on x is a(1)x+b(1)y+c(1)=0 and that of x ...

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  20. If Sigmax=55,Sigmay=74,Sigmaxy=411,n=10, then covariance between x and...

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