Statistics:

For questions 12-20:

A single replicate 2⁴experiment is designed. The experiment has factors A, B, C, and D, each of which can be set to +1 or -1. We conduct a single replicate of this experiment, collecting the response for each possible combination of factor settings. This data is

Treatment Factor A Factor B Factor C Factor D Response (1) - 1 - 13.94 - 1 - 16.41 - 1 - 15.74 - 14.85 - 15.00 - 13.22 bc - 17.87 bed - 13.33 a - 7.52 ad 6.63 ac - 8.01 acd 8.57 ab - 8.36 abd 8.05 abc 10.47 abcd 4.68Question 11 Compute the Factorial Effect A O -1.209 O -0.911 O -0.906 O -0.531 O -0.101 O 0.911 O 1.091 O 7.194 O 8.379 O 14.241Question 12 Compute the Factorial Effect B O -1.209 O -0.911 O -0.906 O -0.531 O -0.101 O 0.911 O 1.091 0 7.194 O 8.379 O 14.241Question 13 Compute the Factorial Effect C O -1.209 O -0.911 O -0.906 O -0.531 O -0.101 O 0.911 O 1.091 O 7.194 O 8.379 O 14.241\fQuestion 15 Compute the Interaction Effect AB O -1.209 O -0.911 O -0.906 O -0.531 O -0.101 O 0.911 O 1.091 O 7.194 O 8.379 O 14.241Question 16 Compute the Interaction Effect AC O -1.209 O -0.911 O -0.906 O -0.531 0 -0.101 O 0.911 O 1.091 O 7.194 O 8.379 O 14.241\fQuestion 18 Compute the Interaction Effect BC O -1.209 O -0.911 O -0.906 O -0.531 O -0.101 O 0.911 O 1.091 O 7.194 O 8.379 O 14.241