Conduct an analysis of variance by completing the

Question

1.1

RunOrder	Factors					Flight Time			?
	A	Q	L	W	Fold at Wing tip	y1	y2	y3
1	-1	-1	-1	1	-1	2.56	2.6	2.48	2.55
2	1	1	-1	-1	1	2.62	2.55	2.65	2.61
3	-1	1	1	-1	1	2.39	2.45	2.42	2.42
4	1	1	1	-1	-1	2.30	2.25	2.33	2.29
5	-1	-1	1	1	1	2.23	2.2	2.25	2.23
6	-1	1	-1	-1	-1	2.25	2.26	2.31	2.27
7	-1	-1	-1	-1	1	2.33	2.4	2.29	2.34
8	-1	-1	1	-1	-1	2.43	2.51	2.49	2.48
9	1	-1	1	-1	1	2.55	2.41	2.6	2.52
10	1	-1	1	1	-1	2.88	2.79	2.85	2.84
11	1	1	-1	1	-1	2.24	2.2	2.31	2.25
12	1	-1	-1	-1	-1	2.77	2.81	2.79	2.79
13	1	-1	-1	1	1	2.29	2.25	2.21	2.25
14	-1	1	1	1	-1	2.82	2.95	2.98	2.92
15	1	1	1	1	1	2.78	2.65	2.71	2.71
16	-1	1	-1	1	1	2.13	2.2	2.18	2.17

1.2 Which effects are clear?

1.3 Use the least-squares estimation method to estimate those clear effects.

1.4 Conduct an analysis of variance by completing the corresponding ANOVA table. What conclusion can you make in terms of effects' significance? Is the fold-at-wing-tip helpful (to improve the flight time)?

1.5 Plot a half-normal plot. Do you reach the same conclusion as you did in (1.4)? Convert your model of the coded variable into a model of the natural variables.

1.6 Use a first order model without interactions. Determine the steepest ascent direction. Choose the step size of the factor corresponding to the largest I Qh I to be 0.5 (in coded value). Finish the following table, where the data for the last column (observed 9) is the average of the observations from actual experiments you and your teammate conduct. [Note that the 0.5 step size is an absolute value. In determining Δ you should associate an appropriate plus/minus sign with it.)

Design points	Coded Variable				Natural Variable				Predicted y^	Observed y¯
	XA	XQ	XW	XL	ξA	ξQ	ξW	ξL
Base (staring point)
Step size (Δ)
Base + Δ
Base +2 Δ
Base +3 Δ
Base +4 Δ

1.7 Based on the table, at which point you should switch to a second order design? How do you come to this decision?

Answer 1

Have a table that illustrate your first questions on factor based as is below 1. Which consequences are clear? 2. Utilize the least-squares estimation technique to estimate those clear consequences. 3. Conduct an examination of variance via completing the equivalent ANOVA table. What conclusion can you make in terms of effects' significance? Is the fold-at-wing-tip useful (to improve the flight time)? 4. Plot a half-normal plot. Do you reach the similar conclusion as you did in (1.4)? Convert your model of the coded variable into a model of the natural variables.