ChE 320 Homework 6:
Due Wednesday, Feb 22, 2017 by 11:30 am at EE129
Instructions: Please complete the following problems on separate, numbered pages. Use the homework
cover page available in Blackboard. Start each problem on a new page and write only on
78)
a)Table of a 2^2 factorial design w/ n=3 using the factors A=cleaning method and B= test
position & the types of method are  = SD and + = SRD and two levels of position are  = L & + =
R
Estimates of effects:
A=(1/2n)[a+abb1]= 5.5933
B=(1/2n)[a+a
74)
a)Table of a 2^2 factorial design w/ n=3 using the factors A=position and B= temperature (C) &
the types of position are  = 1 and + =2 and two levels of firing temp are =800 +=825 C
Estimates of effects:
A=(1/2 n)[a+ abb1] = 48.333
B=( 1/2 n)[a+ a
72)
a)Table of a 2^2 factorial design w/ n=3 using the factors A=paint and B= drying time(min) & the
types of paint are  = 1 and + =2 and two levels of drying time are =20min +=30min
Estimates of effects:
A=(1/2 n)[a+ abb1] = .167
B=( 1/2 n)[a+ abb1]
a)

71)
Results of design
n= 4
A = material; two types of materials are  =1 and + =2
B = temperature; two levels are  =low and + =high
Estimates of effects:
A=(1/2 n)[a+ abb1] = 18.625
B=( 1/2 n)[a+ abb1] = 67.875
1
AB= [ab+(1)ab] = 9.375
2n
Overall
620)From minitab:
a)
constant= .1105
x1=.4072
x2= 2.108
y=.110+.407x1+2.11x2
From this model there seems to be a linear relationship btwn dep and indep variables
b) residuals from minitab:
c) from minitab regression:
SSe= .00062
Estimated variance = .0
624) minitab output of regression:
A) linear regression model from minitab is: y=38.3183.0016(X1).0404(X2)
Y @ weight= 2650 and horsepower=120 y=29.178
B)
99% CI on mean response from minitab is: (26.618, 31.737)
C) 99% prediction on future observation
634)
a) Second order polynomial model in two regressors is
Y= Bo + B1x1+ B2x2 + B12x1x2 + B11x1^(2) + B22x2^(2)
This model is centered on the regressors by subtracting 3488.75 from X1 and 304.0833
from X2
From minitab:
The ANOVA output for this data sugg
636)
A)From minitab:
This indicates the model with the smallest MSe is the single variable model containing only
dielectric constant. This model has the smallest Cp and the largest value of R^2. Therefore, this
model can be the best regression equation f
ChE 320 Homework 1:
Due Friday, Januarry 20, 2017 by 11:30 am at EE129
Instructions: Please complete the following problems on separate, numbered pages. Use the homework
cover page available in Blackboard. Start each problem on a new page and write only o
ChE 320 Homework 3:
Due Wednesday, Feb 1, 2017 by 11:30 am at EE129
Instructions: Please complete the following problems on separate, numbered pages. Use the homework
cover page available in Blackboard. Start each problem on a new page and write only on o
ChE 320 Homework 4:
Due Wednesday, Feb 8, 2017 by 11:30 am at EE129
Instructions: Please complete the following problems on separate, numbered pages. Use the homework
cover page available in Blackboard. Start each problem on a new page and write only on o
Fractional Factorial Design
Factors:
Runs:
Blocks:
15
32
1
Base Design:
Replicates:
Center pts (total):
15, 32
1
0
Resolution:
Fraction:
IV
1/1024
Design Generators: F = ABC, G = ABD, H = ABE, J = ACD, K = ACE, L = ADE,
M = BCD, N = BCE, O = BDE, P = CDE