Problem#1(5 points) (a) You are designing a 2-factor factorial experiment with both factors at 3 levels. 1 point You need to run 4 replicates (n 4). However, you realize that experiments are long and you can only run up to 10 experiments a d How would you conduct and analyze the experiment? Answer here Divide the replications into different days. (b) 1 point You have built a linear regression model, and the R42 value is acceptable. Suggest a method of refining the model. Answer here-> To improve the model, Test each Beta individully. Problem#1(5 points) (a) You are designing a 2-factor factorial experiment with both factors at 3 levels. 1 point You need to run 4 replicates (n 4). However, you realize that experiments are long and you can only run up to 10 experiments a d How would you conduct and analyze the experiment? Answer here Divide the replications into different days. (b) 1 point You have built a linear regression model, and the R42 value is acceptable. Suggest a method of refining the model. Answer here-> To improve the model, Test each Beta individully