(50 Points) Problem 1: A catheter produced for use in a medical device must meet exacting specs: 2.45 mm plus or minus 0.05 mm on its outside diameter (OD). The catheter is made via an extrusion process, which is based on three factors: A, extruder feed rate: 900-1,100 gr/hr; B, zone-1 temperature, 165-195 C; and C, raw material supplier: Acme (-1) or Ecma (+1). The RSM design chosen follows: A B C OD (in mm) -1 1 -1 1 -1 1 ooooooOTETIT HOOOOOOO 0 0 0 0 0 0 0 -1 1 -1 1 -1 1 0 STOOD HOooooOOOoooo -1 -1 2.07 -1 -1 2.12 1 -1 2.28 1 -1 2.48 0 -1 2.22 0 -1 2.35 -1 -1 2.13 1 -1 2.39 0 -1 2.35 0 -1 2.31 0 -1 2.34 0 -1 2.37 0 -1 2.36 -1 1 2.32 -1 1 2.27 1 1 2.38 1 1 2.55 0 1 2.41 0 1 2.48 2/3 -1 1 2.39 1 1 2.44 0 1 2.49 0 1 2.44 0 1 2.49 0 1 2.47 0 1 2.47 (a) In this design, you have a qualitative (or categorical) factor. How else could you approach this design? (b) What type of RSM design would the one shown above be? (c) If the fitted model is Y = 2.407 +0.048A+ 0.102B + 0.070C -0.037A2 -0.064B2 + 0.046AB - 0.016AC - 0.037BC