you are provided information on an experiment and you are required to investigate and interpret the output which is provided below.

Problem:Consider the threevariable central composite design shown in the table.

RunOrder	PtType	Blocks	Temperature	Time	Catalyst	Conversion (%) y1	Viscosity y2
1	1	1	-1	-1	-1	74	53.2
2	1	1	1	-1	-1	51	62.9
3	1	1	-1	1	-1	88	53.4
4	1	1	1	1	-1	70	62.6
5	1	1	-1	-1	1	71	57.3
6	1	1	1	-1	1	90	67.9
7	1	1	-1	1	1	66	59.8
8	1	1	1	1	1	97	67.8
9	-1	1	-1.68179	0	0	76	59.1
10	-1	1	1.681793	0	0	79	65.9
11	-1	1	0	-1.68179	0	85	60
12	-1	1	0	1.681793	0	97	60.7
13	-1	1	0	0	-1.68179	55	57.4
14	-1	1	0	0	1.681793	81	63.2
15	0	1	0	0	0	81	59.2
16	0	1	0	0	0	75	60.4
17	0	1	0	0	0	76	59.1
18	0	1	0	0	0	83	60.6
19	0	1	0	0	0	80	60.8
20	0	1	0	0	0	91	58.9

Part 1- Conversion percent

A partial Minitab output for the full model is shown below.

Model Summary

S	R-sq	R-sq(adj)	R-sq(pred)
4.71669	91.99%	84.79%	75.66%

Fits and Diagnostics for Unusual Observations

Obs	Conversion % (y1)	Fit	Resid	Std Resid
20	91.00	81.09	9.91	2.30	R

R Large residual

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Model	9	2555.73	283.97	12.76	0.000
Linear	3	763.05	254.35	11.43	0.001
Temperature	1	14.44	14.44	0.65	0.439
Time	1	222.96	222.96	10.02	0.010
Catalyst	1	525.64	525.64	23.63	0.001
Square	3	601.30	200.43	9.01	0.003
Temperature*Temperature	1	48.47	48.47	2.18	0.171
Time*Time	1	124.48	124.48	5.60	0.040
Catalyst*Catalyst	1	388.59	388.59	17.47	0.002
2-Way Interaction	3	1191.37	397.12	17.85	0.000
Temperature*Time	1	36.12	36.12	1.62	0.231
Temperature*Catalyst	1	1035.12	1035.12	46.53	0.000
Time*Catalyst	1	120.13	120.13	5.40	0.043
Error	10	222.47	22.25
Lack-of-Fit	5	56.47	11.29	0.34	0.869
Pure Error	5	166.00	33.20
Total	19	2778.20

Interpret the above output. As well as discussing factor significance you are expected to discuss the unusual residual and how it may (or may not) affect the overall analysis. Is there a specific recommendation that you would make?

The partial output for the reduced model is provided.

Model Summary

S	R-sq	R-sq(adj)	R-sq(pred)
5.05856	88.95%	82.50%	69.18%

Coded Coefficients

Term	Coef	SE Coef	T-Value	P-Value	VIF
Constant	79.59	1.75	45.45	0.000
Temperature	1.03	1.37	0.75	0.467	1.00
Time	4.04	1.37	2.95	0.012	1.00
Catalyst	6.20	1.37	4.53	0.001	1.00
Time*Time	3.12	1.33	2.35	0.036	1.01
Catalyst*Catalyst	-5.01	1.33	-3.78	0.003	1.01
Temperature*Catalyst	11.37	1.79	6.36	0.000	1.00
Time*Catalyst	-3.88	1.79	-2.17	0.051	1.00

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Model	7	2471.13	353.02	13.80	0.000
Linear	3	763.05	254.35	9.94	0.001
Temperature	1	14.44	14.44	0.56	0.467
Time	1	222.96	222.96	8.71	0.012
Catalyst	1	525.64	525.64	20.54	0.001
Square	2	552.83	276.42	10.80	0.002
Time*Time	1	141.78	141.78	5.54	0.036
Catalyst*Catalyst	1	365.42	365.42	14.28	0.003
2-Way Interaction	2	1155.25	577.62	22.57	0.000
Temperature*Catalyst	1	1035.12	1035.12	40.45	0.000
Time*Catalyst	1	120.13	120.13	4.69	0.051
Error	12	307.07	25.59
Lack-of-Fit	7	141.07	20.15	0.61	0.736
Pure Error	5	166.00	33.20
Total	19	2778.20