Question

if u+5x=6 and 3y+7v=20 and correlation coefficient between x and y is 0.58, then what is correlation coefficient between u and v ? a) 0.58 b) -0.58 c) -0.84 d) 0.84

Answer 1

Given : u + 5x = 6 and 3y + 7v = 20 and the correlation coefficient between x and y is 0.58

To Find : what  would be the correlation coefficient between u and v

Solution:

correlation coefficient between x and y is 0.58  

u + 5x = 6

=> u  = 6 - 5x

-5 is the factor    ( constant does not have any impact)

3y + 7v = 20

=> 7v   = -3y + 20

=> v = (-3/7)y + 20/7

(-3/7) is the factor  ( constant does not have any impact)

correlation coefficient between u and v =  0.58 * (-5)(-3/7) / √(-5)²√(-3/7)²

=  0.58

correlation coefficient between u and v = 0.58

option a is correct

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Answer 2

Answer:

$= = 0 = = = = 13 { = = = {y > { > > > { > 1? \times \frac{?}{?} }^{?} }^{?} }^{?} }^{?} \times \frac{?}{?}$

kzmsmmzkKzjznzmsnm.d.

$1333 { { {0 \times \div 133 \binom{ \binom{ \binom{ \binom{ \binom{?}{?} }{?} }{?} }{?} }{?} \times \frac{?}{?} }^{?} \times \frac{?}{?} }^{2} }^{2}$