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Homeworks assigned from Douglas Montgomery using R software
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Individual Homework #15
Design and Analysis of Experiments
Pr 0.ABABy
--+16
+--11
-+-18
+++9
A effect = (11+9)/2-(16+18)/2 = -7
B effect = (18+9)/2+(16+11)/2 = 0
AB effect = (16+9)/2-(11+18)/2 = -2
The model regression coefficients are 1/2 the effect values.6.1
b and c appear to be high as well as ac interaction but negatively.
Anova table confirms that the factors mentioned above are significantc) y (hours)= 40.83 + 5.66*B + 3.41*C 4.41*AC
d)
Residuals are normally distributed and with a constant variance. There seem to be no problem with NID(0.).e) + , + , -