Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

steps are not required, only the finally answer. Metal Bonding Experiment. Autho

ID: 3327087 • Letter: S

Question

steps are not required, only the finally answer.

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 2 Calculate 97.5% confidence intervals for all the estimated parameters in the second order response surface model. Based on these intervals which one of the following statements is correct: Variable X2 is important in controlling the response but only via its interaction with variable X3 Variable X2 is important in controlling the response but only via its interaction with variable X1. Variable X2 is important, but its effect on the response is limited to being linear in nature. None of these options. Variable X2 is not important in controlling the response. Variable X2 is important, and its effect on the response is non linear in nature.

Explanation / Answer

Question 1)

ans-> ii) variable X2 is important in controlling the response but only its interaction with variable X1

Question 2)

ans-> v) variable X2 is not important in controlling the response.