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If two regression lines are, -5X + 6Y = 90 15X - 8Y = 130 then the value of correlation co-efficient…

The valid regression coefficients are bYX=5/6 and bXY=8/15, so r=+sqrt(4/9)=2/3, (2). The lines intersect at mean X=30 and mean Y=40; using the opposite pair of slopes would…

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If two regression lines are,
-5X + 6Y = 90
15X - 8Y = 130
then the value of correlation co-efficient will be :

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Answer and explanation

Correct answer B

The valid regression coefficients are bYX=5/6 and bXY=8/15, so r=+sqrt(4/9)=2/3, (2). The lines intersect at mean X=30 and mean Y=40; using the opposite pair of slopes would incorrectly give |r|>1.

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