Question

QUESTION 6 Coefficient Bo O -38.295 O -35.410 O -30.895 ?-27.386 0-17.498 10.105 0-2.871 0 5.918 O 8.600 O 9.343

Answer 1

Given problem is solving by using R-code as;

x1=c(-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,1,1,1,1,1)
x2=c(-1,-1,-1,-1,1,1,1,1,-1,-1,-1,-1,1,1,1,1)
x3=c(-1,-1,1,1,-1,-1,1,1,-1,-1,1,1,-1,-1,1,1)
x4=c(-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1)
y=c(-13.91,-15.04,-13.26,-16.63,-13.96,-15,3.9,3.71,-13.28,-14.61,-13.70,-15.83,-16.03,-16.48,4.98,3.46)
l=lm(y~x1+x2+x3+x4);l

And the output is as;

> l=lm(y~x1+x2+x3+x4);l

Call:
lm(formula = y ~ x1 + x2 + x3 + x4)

Coefficients:
(Intercept) x1 x2 x3  
-10.10500 -0.08125 4.42750 4.68375  

x4  
-0.69750  

Thus we get the linear model as;

Response= (-0.08125)*Factor A + (4.42750)*Factor B +(4.68375)* Factor C - (0.69750)* Factor D - (10.105)

Thus the coefficient B₀is -10.105