Question 2 (10 marks) A chemical process is affected by many variables and factors. Three most important variables are selected for study as shown in the table. Variables M S K Low level 10 -1 High level 35 20 28 1 a) What kind of experimental design is this? Please complete the design matrix that can estimate all main effects and interaction effects. (2 marks) b) The interaction MS is found to be least important from the experimental study, then one more variable T could be added for the study without doing extra experiments, what kind of experimental design it will become? (1 marks) c) One set of experiment run is conducted and their parameter settings are partially shown as below. Please complete the design matrix to show all confounding effects, show your final selection, and estimate all the main effects and interaction effects. (4 marks) M S K T response -1 33 -1 5 -1 31 -1 9 28 40 35 162 28 39 35 158 d) Please explain significance of these effects in terms of magnitude and sign. (3 marks) Question 2 (10 marks) A chemical process is affected by many variables and factors. Three most important variables are selected for study as shown in the table. Variables M S K Low level 10 -1 High level 35 20 28 1 a) What kind of experimental design is this? Please complete the design matrix that can estimate all main effects and interaction effects. (2 marks) b) The interaction MS is found to be least important from the experimental study, then one more variable T could be added for the study without doing extra experiments, what kind of experimental design it will become? (1 marks) c) One set of experiment run is conducted and their parameter settings are partially shown as below. Please complete the design matrix to show all confounding effects, show your final selection, and estimate all the main effects and interaction effects. (4 marks) M S K T response -1 33 -1 5 -1 31 -1 9 28 40 35 162 28 39 35 158 d) Please explain significance of these effects in terms of magnitude and sign