A multiple regression equation of new born babies systolic b

A multiple regression equation of new born babies\' systolic blood pressure (SBP) accounted by systolic blood pressures from mother and father is

Baby_SBP = - 5 + 0.5*Mother_SBP + 0.4*Father_SBP

If mother A\'s SBP is 10 mmHg higher than mother B\'s SBP, and if both fathers have the same SBP, the predicted Baby A SBP is higher than Baby B by

1)-5

2)5

3)4

4) Can not be determined

Solution

we write B= Baby\'s SBP , M=mother\'s SBP and F= father\' SBP.

So the given equation takes the form as ,

B= -5 +0.5*M + 0.4*F

It is given that M(A) - M(B) = 10 mmHg , M(A) = A\'s Mother\' SBP .

And F(A) = F(B) .

Then, B(A) - B(B) = (-5 + 0.5*M(A) + 0.4*F(A) ) - ( -5 +0.5*M(B) + 0.4*F(B) ) = 0.5*[ M(A) - M(B) ] + 0.4*[F(A) - F(B)] = 0.5*10 + 0 = 5 .

The Right answer is 2) 5