sas code help: An engineer conducted experiments to explore 6 factors: engine size (A), number of cylinders (B), type of transmission (C), tire (D), suspension (E), and gas tank size (F). For each factor, two levels were considered. The engineer decided to run a 2^6-3 fractional factorial design with D = BC, E = AB, and F = AC. The table below displays the setting for factors A, B, and C, along with the corresponding response variable y.

Run	A	B	C	y
1	-	-	-	1.51
2	+	-	-	1.49
3	-	+	-	1.65
4	+	+	-	2.17
5	-	-	+	0.98
6	+	-	+	1.12
7	-	+	+	1.29
8	+	+	+	1.46

You can download the data file at the following link.

http://www.auburn.edu/~zengpen/teaching/STAT-7010/datasets/ff2d.txt

Find the defining contrast subgroup of this design. What is the resolution and wordlength pattern of this design?

Work out the alias structure of all main effects and two-factor interactions, assuming that interactions of order three or higher are negligible.

Draw a normal probability plot of effects. It appears that only two effects are significant. Which two effects are they?

Construct an ANOVA table that includes only significant effects identified in the previous question.

Write down the fitted regression model that includes the significant effects identified in the previous question.