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Metal Bonding Experiment. Authors: E. Del Castillo, D. C. Montgomery and D. R. M

ID: 3327089 • Letter: M

Question

Metal Bonding Experiment.

Authors: E. Del Castillo, D. C. Montgomery and D. R. McCarville (1996), “Modified desirability functions for multiple response optimisation. Journal of Quality Technology, 28, pp. 337-345.

The experiment below is on a melting bonding process and was designed to determine the effect of the flow rate, the flow temperature and the block temperature on the maximum temperature recorded at the middle of the weld.

i

yi

xi1

xi2

xi3

1

115

40

200

250

2

117

120

200

250

3

147

40

450

250

4

199

120

450

250

5

134

40

325

150

6

134

120

325

150

7

143

40

325

350

8

152

120

325

350

9

111

80

200

150

10

176

80

450

150

11

131

80

200

350

12

192

80

450

350

13

155

80

325

250

14

161

80

325

250

15

158

80

325

250

yi = Temperature recorded in the middle of the weld.

xi1 = Flow rate.

xi2 = Flow temperature in degrees Celsius.

xi3 = Block temperature in degrees Celsius .

i = 1 to n measurements. n = 15.


                                      Peak Height Experiment.

Authors: Panagiotis Kakleas, Triantafyllos Kaloudis and Ewan MacArthur (2008), “Speeding up chemical analysis; an example of developing fast yet reliable methods for the determination of cylindrospermopsin in water, by using HPLC and ELISA”, Proceedings of the eRA 3 Conference, TEI of Piraeus, Aegina, 19-20 September, 2008.



yi = Peak height for detecting cylindrospermopsin in water measured by high pressure liquid chromatography (HPLC).

xi1 = Flow rate.

xi2 = Column temperature in degrees Celsius.

xi3 = Gradient time.

i = 1 to n measurements. n = 15.

i

yi

xi1

xi2

xi3

1

2.088

1.3

40

10

2

2.084

1.3

40

10

3

1.435

2.1

30

10

4

2.835

0.5

50

10

5

1.809

1.3

30

15

6

2.637

0.5

40

15

7

1.65

2.1

40

5

8

2.296

1.3

50

5

9

2.146

1.3

40

10

10

1.626

2.1

40

15

11

2.752

0.5

40

5

12

2.626

0.5

30

10

13

2.07

1.3

30

5

14

2.218

1.3

50

15

15

1.763

2.1

50

10

i

yi

xi1

xi2

xi3

1

115

40

200

250

2

117

120

200

250

3

147

40

450

250

4

199

120

450

250

5

134

40

325

150

6

134

120

325

150

7

143

40

325

350

8

152

120

325

350

9

111

80

200

150

10

176

80

450

150

11

131

80

200

350

12

192

80

450

350

13

155

80

325

250

14

161

80

325

250

15

158

80

325

250

QUESTION 5 Produce a plot of the predicted response values from the estimated simplified response surface model (based on 90% confidence intervals for the parameters of the full second order model) against the actual response values. From this plot do you conclude that: The prediction errors made by the simplified response surface model are predominantly systematic in nature The predictions made by the simplified response surface model for conditions not included in the experiment will certainly be predominantly random in nature None of these options. The prediction errors made by the simplified response surface model are predominantly random in nature.

Explanation / Answer

question 5 answer

the predection errors made by the simplified response surface model are predominatly random in nature