Problem 3. Assign the following experiment to an orthogonal array. There 6 Two level factors, Angle, Temp, Direction, Height, Preheat, and Speed There are 8 interactions : Angle X Height, Angle X Speed, Height 3: Speed, Height X Temp, Speed X Preheat, Speed X Direction, Speed x Temp and Preheat X Temp. Consult the linear diagrams for an L16 to answer these questions: 1. Find Total DOF from all factors required to conduct the experiment 2. Smallest Orthogonal Array that can be used 3. Column Assignments to each factor, please draw them on a linear graph in part 4. 4. Show Linear Graph used to conduct the experiment