ISC (Science) Class 12CISCE
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The Two Lines Qfregressions Are 4x +2y- 3 = 0 and 3x + 6y + 5 =0. Find the Correlation Co-efficient Between X and Y. - ISC (Science) Class 12 - Mathematics

ConceptRegression Coefficient of X on Y and Y on X

Question

The two lines of regressions are 4x + 2y- 3 = 0 and 3x + 6y + 5 =0. Find the correlation co-efficient between x and y.

Solution

4x + 2y- 3 = 0

2y = -4x + 3

y = -2x + 3/2

b_1  = -2

and

3x + 6y + 5 =0

6y = -3x - 5

y = -1/2x- 5/6

b_2 = -1/2

|b_2| < |b_1|

b_(yx) = -1/2

:. b_"xy" = 1/b_1 = -1/2

r= +- sqrt(b_"xy" xx b_"yx")

= - sqrt((-1/2) (-1/2))

r = -1/2

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APPEARS IN

2014-2015 (March) (with solutions)
Question 1.7 | 3.00 marks
Solution The Two Lines Qfregressions Are 4x +2y- 3 = 0 and 3x + 6y + 5 =0. Find the Correlation Co-efficient Between X and Y. Concept: Regression Coefficient of X on Y and Y on X.
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