IEN312 Applied Statistical methods Homework Assignment#8 - Group Assignment Due: April 27, 11:59 PM (EST) • Each team at most have 4 members. • Please submit and upload your solutions as a single PDF...

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IEN312 Applied Statistical methods Homework Assignment#8 - Group Assignment Due: April 27, 11:59 PM (EST) • Each team at most have 4 members. • Please submit and upload your solutions as a single PDF file to the blackboard. • Each team only needs to submit one file. Happy Toy Company is designing a new toy: “Paper Helicopter”. There are several factors that affect the falling speed of a paper helicopter, and Happy Toy Company is interested in the following four specific factors: A: Rotor width {3cm, 4cm, 5cm} B: Rotor length {8cm, 10cm, 12cm} C: Body length {1cm, 2cm, 3cm} D: Tail length {6cm, 8cm, 10cm} Your team (at most 4 team members) will help Happy Toy Company study how factors affect the falling speed using the regression method. Your team will have to select two factors from these four factors, where each factor has three levels. (a). Conduct experiments to collect the falling times of different settings (9 combinations: 2 selected factors and each factor has 3 levels) of paper helicopters from the same heigh (at least 1.5 meters). Each setting must collect two records. (b). Then, conduct a regression model to see how the selected two factors affect the falling time. (Fit the collected results to ????? = ?? + ???? + ???? + ???? ⋅ ?? .). Please show the regression model, residuals, R2, adj-R2, p-value of each regression coefficient, and p-value of the overall model. (Use either Excel or R) (c). Comment on the regression model you found. ???? ????ℎ = 2 ⋅ ????? ????ℎ 3 Rotor width Rotor length Body length Tail length Solid line: cutting line dot line: folding line IEN312 Applied Statistical methods Group Assignment – Part A Team member 1: ______________________________ email: _________________________ Team member 2: ______________________________ email: _________________________ Team member 3: ______________________________ email: _________________________ Team member 4: ______________________________ email: _________________________ Record your experiments in the following table: Height of testing: ______________ m Selected Factor 1 (specify the factor) _______________________________ Level I Level II Level III Se le ct e d F ac to r 2 (s p e ci fy t h e f ac to r) __ __ __ __ __ __ _ __ __ __ __ __ __ __ __ _ _ Level I Level II Level III (unit: second)