If regression lines are 8x – 10y + 66 = 0 and
40x – 18y = 214 then correlation coefficient
between x & y is
a) -1 b) 0.6 c) -0.6 d) 1
3 Replies
Tejaswi Kasturi
(student-cpt)
(427 Points)
Replied 24 June 2012
the regression equations are y = 08x+6.6 and x = 0.45y+5.35 so byx = 0.8 and bxy=0.45 so r = g.m of bxy and byx = root(0.8*0.45)=0.6
Mihir Manohar
(CA Final - Article Assistant)
(474 Points)
Replied 25 June 2012
I have one more fast trick of solving this question.
1)If we suppose first equation to be Y on X then simply shift the co-efficient of Y as denominator and shift the co-efficient of X as numerator by changing the sign. This fraction obtained is our Byx. Also repeat the same process for Bxy.
2)Now check out that is it validating for correlation coefficient? If not then reverse the process by assuming 1st equation to be X on Y.
3)And then apply the formula.
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