Math, asked by guptajee2552, 1 year ago

If x + 2y = 5 and 2x + 3y = 8 are 2 regression lines then regression line y on x is

Answers

Answered by Anonymous
10

Step-by-step explanation:

Solution :

x+2y=5

2x+3y=8

and σ2x=12

On solving the two equations, we can obtain the mean values for x and y

x+2y=5

2x+4y=10

2x+3y=8

______________

0+y=2

y=2

and x=1

a) Hence the mean value for x and y is 1 and 2

x+2y=5

x=5−2y

bxy=−2

2x+3y=8

3y=8−2x

y=83−−23x

∴byx=−23

b) Coefficient of correlation 'r' is byx,bxy−−−−−−√

r=−2×−23−−−−−−−−√

=43−−√

c) byx=r.σyσx

but σ2x=12

=> σx=12−−√

σy=byx×σxr

=−23×12−−√43−−√

=−23×23–√×3–√2

=−2

σy=−2

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