Page break for problem 2

General Factorial Regression: Quality Index versus Filler, Mold Temperature

Factor Information

Factor Levels ValuesFiller 2 40, 44Mold Temperature 2 275, 302

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-ValueModel 3 1149.00 383.00 9.33 0.001 Linear 2 1145.80 572.90 13.96 0.000 Filler 1 80.00 80.00 1.95 0.182 Mold Temperature 1 1065.80 1065.80 25.96 0.000 2-Way Interactions 1 3.20 3.20 0.08 0.784 Filler*Mold Temperature 1 3.20 3.20 0.08 0.784Error 16 656.80 41.05Total 19 1805.80

Model Summary

S R-sq R-sq(adj) R-sq(pred)6.40703 63.63% 56.81% 43.17%

Coefficients

Term Coef SE Coef T-Value P-Value VIFConstant 81.10 1.43 56.61 0.000Filler 40 2.00 1.43 1.40 0.182 1.00Mold Temperature 275 -7.30 1.43 -5.10 0.000 1.00Filler*Mold Temperature 40 275 0.40 1.43 0.28 0.784 1.00

Regression Equation

Quality Index = 81.10 +2.00Filler_40 -2.00Filler_44 -7.30MoldTemperature_275 +7.30MoldTemperature_302 +0.40Filler*MoldTemperature_40 275 -0.40Filler*MoldTemperature_40 302 -0.40Filler*MoldTemperature_44 275 +0.40Filler*MoldTemperature_44 302

Fits and Diagnostics for Unusual Observations

Quality StdObs Index Fit Resid Resid 17 104.00 86.80 17.20 3.00 R

R Large residual

Normplot of Residuals for Quality Index

Residuals vs Fits for Quality Index

Residual Histogram for Quality Index

Residuals vs Order for Quality Index

Residuals from Quality Index vs Filler

Residuals from Quality Index vs Mold Temperature

Page Break for Problem 3

StdOrderRunOrderPtTypeBlocksABCD

151115010.9150

132115010.5150

4331150-10.9150

484115010.9300

4451150-10.9300

66111010.5300

467115010.5300

298115010.5150

2591150-10.5150

3010115010.5300

4011111010.9300

4712115010.9150

33131110-10.5150

514111010.5150

17151110-10.5150

1161110-10.5150

20171110-10.9300

41181150-10.5150

3219115010.9300

2201110-10.5300

1621115010.9300

12221150-10.9300

2323111010.9150

3924111010.9150

18251110-10.5300

35261110-10.9150

28271150-10.9300

828111010.9300

19291110-10.9150

2430111010.9300

36311110-10.9300

34321110-10.5300

10331150-10.5300

2134111010.5150

1435115010.5300

2236111010.5300

4371110-10.9300

3738111010.5150

9391150-10.5150

740111010.9150

26411150-10.5300

42421150-10.5300

3843111010.5300

3144115010.9150

4545115010.5150

3461110-10.9150

27471150-10.9150

11481150-10.9150

ABCDResult5010.915061.76579144

5010.5150130.1365187

50-10.915048.80987651

5010.93004.953293348

50-10.9300-39.44617729

1010.5300-62.7248593

5010.530082.33209781

5010.515065.42314951

50-10.5150-4.914442584

5010.5300-39.51621244

1010.9300-150.2588145

5010.9150-47.35352178

10-10.5150-75.06397391

1010.5150-90.0932999

10-10.5150-80.40438299

10-10.5150-100.4618118

10-10.9300-244.1865454

50-10.5150-66.71674222

5010.9300-242.2066897

10-10.5300-282.9878505

5010.9300-237.5914173

50-10.9300-293.8720474

1010.9150-162.8545672

1010.9150-170.687946

10-10.5300-351.8990247

10-10.9150-181.9262995

50-10.9300-353.778949

1010.9300-410.14915

10-10.9150-204.7731783

1010.9300-439.6932866

10-10.9300-454.0479683

10-10.5300-460.6074282

50-10.5300-398.0598053

1010.5150-231.9240975

5010.5300-420.2373498

1010.5300-514.1155233

10-10.9300-547.2944026

1010.5150-267.7777834

50-10.5150-155.4482288

1010.9150-290.3731614

50-10.5300-513.7459828

50-10.5300-552.247623

1010.5300-628.0039823

5010.9150-264.3896029

5010.5150-182.1955724

10-10.9150-331.9434394

50-10.9150-284.8788343

50-10.9150-262.1792253

General Factorial Regression: Result versus A, B, C, D

Factor Information

Factor Levels ValuesA 2 10, 50B 2 -1, 1C 2 0.5, 0.9D 2 150, 300

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-ValueModel 10 801958 80196 3.40 0.003 Linear 4 623861 155965 6.60 0.000 A 1 159725 159725 6.76 0.013 B 1 59118 59118 2.50 0.122 C 1 1839 1839 0.08 0.782 D 1 403180 403180 17.07 0.000 2-Way Interactions 6 178097 29683 1.26 0.301 A*B 1 74471 74471 3.15 0.084 A*C 1 7182 7182 0.30 0.585 A*D 1 2083 2083 0.09 0.768 B*C 1 144 144 0.01 0.938 B*D 1 29274 29274 1.24 0.273 C*D 1 64944 64944 2.75 0.106Error 37 873962 23621 Lack-of-Fit 5 102454 20491 0.85 0.525 Pure Error 32 771508 24110Total 47 1675921

Model Summary

S R-sq R-sq(adj) R-sq(pred)153.690 47.85% 33.76% 12.24%

Coefficients

Term Coef SE Coef T-Value P-Value VIFConstant -222.9 22.2 -10.05 0.000A 10 -57.7 22.2 -2.60 0.013 1.00B -1 -35.1 22.2 -1.58 0.122 1.00C 0.5 6.2 22.2 0.28 0.782 1.00D 150 91.6 22.2 4.13 0.000 1.00A*B 10 -1 39.4 22.2 1.78 0.084 1.00A*C 10 0.5 12.2 22.2 0.55 0.585 1.00A*D 10 150 6.6 22.2 0.30 0.768 1.00B*C -1 0.5 -1.7 22.2 -0.08 0.938 1.00B*D -1 150 24.7 22.2 1.11 0.273 1.00C*D 0.5 150 36.8 22.2 1.66 0.106 1.00

Regression Equation

Result = -222.9 -57.7A_10 +57.7A_50 -35.1B_-1 +35.1B_1 +6.2C_0.5 -6.2C_0.9 +91.6D_150 -91.6D_300 +39.4A*B_10 -1 -39.4A*B_10 1 -39.4A*B_50 -1 +39.4A*B_50 1 +12.2A*C_10 0.5 -12.2A*C_10 0.9 -12.2A*C_50 0.5 +12.2A*C_50 0.9 +6.6A*D_10 150 -6.6A*D_10 300 -6.6A*D_50 150 +6.6A*D_50 300 -1.7B*C_-1 0.5 +1.7B*C_-1 0.9 +1.7B*C_1 0.5 -1.7B*C_1 0.9 +24.7B*D_-1 150 -24.7B*D_-1 300 -24.7B*D_1 150 +24.7B*D_1 300 +36.8C*D_0.5 150 -36.8C*D_0.5 300 -36.8C*D_0.9 150 +36.8C*D_0.9 300

Fits and Diagnostics for Unusual Observations

StdObs Result Fit Resid Resid 6 -62.7 -375.1 312.3 2.31 R 7 82.3 -192.2 274.5 2.03 R

R Large residual