? If the coefficient of correlatic
between the variables X and Y is
the coefficient of correlation
between X2 and Y2 is:
Options (Marks: 2)
(Tap/Click on option)
Option 1
-1
Option 2
1
Option 3
Option 4
r2
Answers
Answer:
coefficient is numbers
like in 5x-xsquare
in this we have to find coefficient so, coefficient is 5
I don't know the exact answer but I will answer my best
Answer:
The given equation of the lines of regression are
x+2y−5=0.......(i)
and 2x+3y−8=0.....(ii)
Rewriting the equations (i) and (ii), we have
From equation (i)
y=
2
−x
+
2
5
y=−0.5x+2.5 *regression line of y on x)
b
yx
=r
σ
x
σ
y
=−0.5....(iii)
From eqution (ii),
x=
2
−3
y+
2
8
x=−1.5y+4( regression line of x on y)
b
xy
=r
σ
y
σ
x
∴r
2
=b
yx
×b
xy
=(−0.5)×(−1.5)=0.75
∴ r=
0.75
=±0.866
But b
xy and b yx
being both −ve therefore, r is also −ve.
Correlation coefficient (r)=−0.866
Varianceof x i.e., σ
x
2
=12
∴ σ
x
= 12
From equation (iii)
r
σ
x
σ
y
=−0.5
−0.866.
12
σ
x =−0.5
σ
y
=
0.866
0.5×
12
=2
∴ Variance of y i.e., σ
y
2
=4