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Individual Homework #15 Design and Analysis of Experiments Carlos A. Peroza Pr 0. A B AB y - - + 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

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Individual Homework #15Design and Analysis of ExperimentsCarlos A. Peroza

Pr 0.

A B AB y- - + 16+ - - 11- + - 18+ + + 9

A effect = (11+9)/2-(16+18)/2 = -7B effect = (18+9)/2+(16+11)/2 = 0AB effect = (16+9)/2-(11+18)/2 = -2

The model regression coefficients are 1/2 the effect values.

6.1

Page 2: Ind HW#15

b and c appear to be high as well as ac interaction but negatively.

Page 3: Ind HW#15

Anova table confirms that the factors mentioned above are significant c) 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.σ).

e) + , + , -