hi, I need some help with this question with SAS, please show the code and output for better understanding, thank you so much! partial help is also appreciated.

A chemical product is produced in a pressure vessel. A factorial experiment is carried out in the pilot plant to study the factors thought to inuence the ltration rate of this product. The four factors are temperature (A), pressure (B), concentration of formaldehyde (C), and stirring rate (D). Each factor has two levels, and a single replicated design Factor is considered. The data are given as follows. A B C D: ABC Treatment combination Filtration rate + a 18 + b 13 + c 17 + + + abc 15 - - - + d 10 + + - + abd 24 + + + aod 21 - + + + bed 17 a. [4] What is this experimental design, and what is its dening relation? b. [4] What is the resolution of this design? Describe a property of designs with such resolution. c. [4] Write out the alias structure for this design. d. [4] Calculate the effect estimate of AB and MSAB. e. [4] Write out the decomposition of degrees of freedoms for this design. 1'. [5] Briey describe a graphical or quantitative method of selecting important e'ects in the screening experiment