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The table below is the output from the Analysis of Variance (ANOVA) from the DOE. Identify the main effects and interactions that are significant at

The table below is the output from the Analysis of Variance (ANOVA) from the DOE.

  1. Identify the main effects and interactions that are significant at the 95% confidence level.
  2. Was the Fractional Factorial DOE justified (that is, can 3-way and higher order terms be ignored)? Explain your answer.
  3. Which factor has the greatest impact for increasing flight time? The least impact?

Estimated effects and coefficients for flight (coded units)

Term

Effect

Coef

SE Coef

T

P

Constant

2.10523

0.01089

193.39

0.000

Paper

-0.14734

0.07367

0.01089

6.77

0.000

Clip

-0.12797

-0.06398

0.01089

-5.88

0.000

Bodytape

-0.05828

-0.02914

0.01089

-2.68

0.009

Jointtape

-0.00516

-0.00258

0.01089

-0.24

0.814

Width

-0.17797

-0.08898

0.01089

-8.17

0.000

Length

-0.16391

-0.08195

0.01089

-7.53

0.000

Prop

0.49297

0.24648

0.01089

22.64

0.000

Paper*Clip

-0.04484

-0.02242

0.01089

-2.06

0.043

Paper*Bodytape

-0.02641

-0.01320

0.01089

-1.21

0.230

Paper*Jointtape

-0.01828

-0.00914

0.01089

-0.84

0.404

Paper*Width

-0.05172

-0.02586

0.01089

-2.38

0.021

Paper*Length

-0.04078

-0.02039

0.01089

-1.87

0.066

Paper*Prop

-0.01328

-0.00664

0.01089

-0.61

0.544

Clip*Bodytape

0.01953

0.00977

0.01089

0.90

0.373

Clip*Jointtape

-0.01859

-0.00930

0.01089

-0.85

0.396

Clip*Width

0.01984

0.00992

0.01089

0.91

0.365

Clip*Length

-0.04984

-0.02492

0.01089

-2.29

0.025

Clip*Prop

0.03016

0.01508

0.01089

1.39

0.171

Bodytape*Jointtape

-0.02141

-0.01070

0.01089

-0.98

0.329

Bodytape*Width

-0.01797

-0.00898

0.01089

-0.83

0.412

Bodytape*Length

0.01672

0.00836

0.01089

0.77

0.445

Bodytape*Prop

0.03359

0.01680

0.01089

1.54

0.128

Jointtape*Width

-0.01797

-0.00898

0.01089

-0.83

0.412

Jointtape*Length

0.01672

0.00836

0.01089

0.77

0.445

Jointtape*Prop

-0.00703

-0.00352

0.01089

-0.32

0.748

Width*Length

-0.03047

-0.01523

0.01089

-1.40

0.166

Width*Prop

0.00078

0.00039

0.01089

0.04

0.971

Length*Prop

-0.05516

-0.02758

0.01089

-2.53

0.014

Paper*Clip*Bodytape

0.04141

0.02070

0.01089

1.90

0.062

Paper*Clip*Jointtape

0.00078

0.00039

0.01089

0.04

0.971

Paper*Clip*Width

-0.00391

-0.00195

0.01089

-0.18

0.858

Paper*Clip*Length

-0.00297

-0.00148

0.01089

-0.14

0.892

Paper*Clip*Prop

0.01641

0.00820

0.01089

0.75

0.454

Paper*Bodytape*Jointtape

-0.03953

-0.01977

0.01089

-1.82

0.074

Paper*Bodytape*Width

0.01703

0.00852

0.01089

0.78

0.437

Paper*Bodytape*Length

0.00734

0.00367

0.01089

0.34

0.737

Paper*Bodytape*Prop

-0.00766

-0.00383

0.01089

-0.35

0.726

Paper*Jointtape*Width

-0.01672

-0.00836

0.01089

-0.77

0.445

Paper*Jointtape*Length

0.03234

0.01617

0.01089

1.49

0.142

Paper*Jointtape*Prop

0.00297

0.00148

0.01089

0.14

0.892

Paper*Width*Length

0.03453

0.01727

0.01089

1.59

0.118

Paper*Width*Prop

-0.01609

-0.00805

0.01089

-0.74

0.462

Paper*Length*Prop

-0.02766

-0.01383

0.01089

-1.27

0.209

Clip*Bodytape*Jointtape

0.03641

0.01820

0.01089

1.67

0.099

Clip*Bodytape*Width

-0.01141

-0.00570

0.01089

-0.52

0.602

Clip*Bodytape*Length

-0.01297

-0.00648

0.01089

-0.60

0.553

Clip*Bodytape*Prop

-0.03422

-0.01711

0.01089

-1.57

0.121

Clip*Jointtape*Width

-0.01516

-0.00758

0.01089

-0.70

0.489

Clip*Jointtape*Length

0.00078

0.00039

0.01089

0.04

0.971

Clip* Jointtape* Prop

0.00391

0.00195

0.01089

0.18

0.858

Clip* Width* Length

0.04109

0.02055

0.01089

1.89

0.064

Clip* Width* Prop

0.02172

0.01086

0.01089

1.00

0.322

Clip* Length* Prop

0.00328

0.00164

0.01089

0.15

0.881

Bodytape* Jointtape* Width

-0.00422

-0.00211

0.01089

-0.19

0.847

Bodytape* Jointtape* Length

-0.00641

-0.00320

0.01089

-0.29

0.770

Bodytape* Jointtape* Prop

-0.01391

-0.00695

0.01089

-0.64

0.525

Bodytape* Width* Length

0.00766

0.00383

0.01089

0.35

0.726

Bodytape* Width* Prop

-0.03359

-0.01680

0.01089

-1.54

0.128

Bodytape* Length* Prop

0.01734

0.00867

0.01089

0.80

0.429

Jointtape* Width* Length

0.02078

0.01039

0.01089

0.95

0.343

Jointtape* Width* Prop

-0.04234

-0.02117

0.01089

-1.94

0.056

Jointtape* Length* Prop

-0.00516

-0.00258

0.01089

-0.24

0.814

Width* Length* Prop

0.00703

0.00352

0.01089

0.32

0.748

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