Draw the interaction plots

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Reference no: EM133585559

Case: A soft drink bottler is interested in obtaining more uniform fill heights in the bottles produced by his manufacturing process. The process engineer can control three variables during the filling process: the percent carbonation (A), the operating pressure in the filler (B), and the bottles produced per minute or the line speed (C). Each factor has two levels so that the experiment is a factorial design with two replicates. The results are as follows:

Run	Coded Factors A B C			Fill Height Deviation		Factor Levels Low (-1) High (+1)
Run	Coded Factors A B C			Replicate 1 Replicate 2		Factor Levels Low (-1) High (+1)
1	-	-	-	- 2	-1	A (%)	10	12
2	+	-	-	o	i	B (psi) 25		30
3	-	+	-	-1	o	C(Wm)	200	250
4	+	+	-	2	3
5	-	-	+	-1	o
6	+	-	+	2	1
7	-	+	+	1	2
8	+	+	+	6	5

Question 1: Analyze the data from this experiment. Which factors significantly affect fill height deviation?

Question 2: Obtain a model for predicting fill height deviation in terms of the important process variables.

Question 3: Draw the interaction plots. and what s your recommendation of the percent carbonation (A). the operating pressure (B). and the line speed (C)?

Question 4: Construct a design with ABC confounded in the first replicate and AC confounded in the second replicate. Outline the analysis of variance with degree of freedoms.

Reference no: EM133585559

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