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I fitted a model by rsm function in R, and here is the code:

rsm1 = rsm(x ~Block+FO(x1,x2,x3)+PQ(x1,x2,x3), data=t1.df) 

The coefficients, obtained from the rsm1$coefficients function are:

(Intercept) = 0.990627264, 
Block2 = -0.069201060, 
FO(x1, x2, x3)x1 = 0.096171838 ,   
FO(x1, x2, x3)x2 = 0.006456881, 
FO(x1, x2, x3)x3,  -0.011316078, 
PQ(x1, x2, x3)x1^2 = -0.050611735, 
PQ(x1, x2, x3)x2^2 =  -0.044424551, 
PQ(x1, x2, x3)x3^2 = -0.047076201

Then, RSM equation can be written like this:

y = 0.990627264 + (-0.069201060)Block + 0.096171838.x1 + 0.006456881.x2 - 0.011316078. x3 - 0.050611735.x1^2 - 0.044424551.x2^2 - 0.047076201.x3^2

How do I write the "Block" using x1, x2, x3......

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  • $\begingroup$ The equation you show is correct for block 1. To get the equation for block 2, subtract .06920160 from the intercept. $\endgroup$ – Russ Lenth Jul 10 at 4:11

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