Q1) Use the data on the next page and answer the following:

• How many factors being experimented?• How many corner point runs exist part of the experiment?• How many center points exist part of the experiment?• How many axial points exist part of the experiment?• In coded units, what are the level used for each of the axial points (alpha value)?• Analyze the model and get a reduced model for both responses "Conversion%" and "Viscosity" using stepwise method (forward selection) with default settings in Minitab, and answer the following:o In Conversion Response Model, there is a two-way interaction term that is significant? (Yes/No) Prove/explain that!o In Conversion Response Model, the B has a significant quadratic term? (Yes/No)Prove/explain that!o Generate the contour plots, and find how much the maximum values of both variables (A&C) to keep the viscosity response at target range between 65 & 70? (Approximately)o There exists a feasible area where Viscosity is between 60 and 65 while Conversion is between 80 and 85? (True / False). Note: choose A & Cas variables and hold B to -0.5. (Prove your answer with the plot and rename the plot title with your group #)o There exists a feasible area where Viscosity is between 64 and 65 while Conversion is between 82 and 85? (True / False). Note: choose A & Cas variables and hold B to 2. (Prove your answer with the plot and rename the plot title with your group #.o There exists a feasible area where Viscosity is between 70 and 75 while Conversion is between 82 and 85? (True / False). Note: choose A & Bas variables. Prove your answer with the plot and rename the plot title with your group #.o What would be your recommended configuration to achieve a target of viscosity of 70 and of a Conversion of 95?

NOTE: Attach the feasible areas plots under each question whererequested and change the title to your group #.

Run	A	B	C	Conversion (%) Y1	Viscosity Y2	Blocks
1	-1.0	-1.0	-1.0	74.0	53.2	1
2	1.0	-1.0	-1.0	51.0	62.9	1
3	-1.0	1.0	-1.0	88.0	53.4	1
4	1.0	1.0	-1.0	70.0	62.6	1
5	-1.0	-1.0	1.0	71.0	57.3	1
6	1.0	-1.0	1.0	90.0	67.9	1
7	-1.0	1.0	1.0	66.0	59.8	1
8	1.0	1.0	1.0	97.0	67.8	1
9	0	0	0	81.0	59.2	1
10	0	0	0	75.0	60.4	1
11	0	0	0	76.0	59.1	1
12	0	0	0	83.0	60.6	1
13	-1.682	0	0	76.0	59.1	2
14	1.682	0	0	79.0	65.9	2
15	0	-1.682	0	85.0	60.0	2
16	0	1.682	0	97.0	60.7	2
17	0	0	-1.682	55.0	57.4	2
18	0	0	1.682	81.0	63.2	2
19	0	0	0	80.0	60.8	1
20	0	0	0	91.0	58.9	1

 

 

 

 

 

 

Q1) Use the data on the next page and answer the following:

• How many factors being experimented?• How many corner point runs exist part of the experiment?• How many center points exist part of the experiment?• How many axial points exist part of the experiment?• In coded units, what are the level used for each of the axial points (alpha value)?• Analyze the model and get a reduced model for both responses "Conversion%" and "Viscosity" using stepwise method (forward selection) with default settings in Minitab, and answer the following:o In Conversion Response Model, there is a two-way interaction term that is significant? (Yes/No) Prove/explain that!o In Conversion Response Model, the B has a significant quadratic term? (Yes/No)Prove/explain that!o Generate the contour plots, and find how much the maximum values of both variables (A&C) to keep the viscosity response at target range between 65 & 70? (Approximately)o There exists a feasible area where Viscosity is between 60 and 65 while Conversion is between 80 and 85? (True / False). Note: choose A & Cas variables and hold B to -0.5. (Prove your answer with the plot and rename the plot title with your group #)o There exists a feasible area where Viscosity is between 64 and 65 while Conversion is between 82 and 85? (True / False). Note: choose A & Cas variables and hold B to 2. (Prove your answer with the plot and rename the plot title with your group #.o There exists a feasible area where Viscosity is between 70 and 75 while Conversion is between 82 and 85? (True / False). Note: choose A & Bas variables. Prove your answer with the plot and rename the plot title with your group #.o What would be your recommended configuration to achieve a target of viscosity of 70 and of a Conversion of 95?

NOTE: Attach the feasible areas plots under each question whererequested and change the title to your group #.

Run	A	B	C	Conversion (%) Y1	Viscosity Y2	Blocks
1	-1.0	-1.0	-1.0	74.0	53.2	1
2	1.0	-1.0	-1.0	51.0	62.9	1
3	-1.0	1.0	-1.0	88.0	53.4	1
4	1.0	1.0	-1.0	70.0	62.6	1
5	-1.0	-1.0	1.0	71.0	57.3	1
6	1.0	-1.0	1.0	90.0	67.9	1
7	-1.0	1.0	1.0	66.0	59.8	1
8	1.0	1.0	1.0	97.0	67.8	1
9	0	0	0	81.0	59.2	1
10	0	0	0	75.0	60.4	1
11	0	0	0	76.0	59.1	1
12	0	0	0	83.0	60.6	1
13	-1.682	0	0	76.0	59.1	2
14	1.682	0	0	79.0	65.9	2
15	0	-1.682	0	85.0	60.0	2
16	0	1.682	0	97.0	60.7	2
17	0	0	-1.682	55.0	57.4	2
18	0	0	1.682	81.0	63.2	2
19	0	0	0	80.0	60.8	1
20	0	0	0	91.0	58.9	1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

20	0	0	0	91.0	58.9	1