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Can somebody please answer these questions.need them urgently
Answer to Q.5:
f(x) = 3/4 () ,
= 0 , otherwise.
E(x)= 3/4 dx
=3/4(
= 1.
Var(x) =
=
Q.6) The two regression equations are,
2X-3Y+6=0...............(1) and
4Y-5X-8=0.................(2)
a) mean of X and mean of Y lies at the intersection of both the lines of regression equations.
Solving these two equations,
(1) x5 + (2)x 2 gives,
X=0, and Y=2
Thus, the mean of X=0 and mean of Y =2
b) From (1), Y=2/3 X + 2
byx =2/3
From (2), X =4/5 Y - 8/5
bxy = 4/5
r2 = byx .bxy
=2/3 x 4/5
=8/15
so, r= 0.73, the correlation coefficient between X and Y
r is positive, since bxy and byx are positive.
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