An experiment was performed to investigate the surface finish of a metal part. The experiment is a 2^3 factorial design in the factors feed rate (A), depth of cut (B), and tool angle (C) each having two levels, i.e. High (H) and Low (L), with n = 2 replicates. Table below presents the observed surface-finish data for this experiment. Analyze and interpret the data from this experiment at 12% significance level.

Treatment	Observations	Total
1	2
LLL	9	7	16
HLL	10	12	22
LHL	9	11	20
HHL	12	15	27
LLH	11	10	21
HLH	10	13	23
LHH	10	8	18
HHH	16	14	30

a) Fill the following Table,
Source of variation	SS	Degree of freedom	MS	Fcomputed	p	Fcritical	Regression coefficient
A	45.5625						1.6875
B	10.5625						0.8125
C	3.0625						0.4375
AB	7.5625						0.6875
AC	0.0625						0.0625
BC	1.5625						0.3125
ABC	5.0625						0.5625
Error	19.5
Total	92.9375

a) Fill the above table

b) Find the significant effects

c) Given the regression coefficients, develop the regression model.

d) If all the factors are set at low level, what will be the predicted value of surface finish