I have literally no idea what I`m doing here, the teacher wants us to reverse en

Question

I have literally no idea what I`m doing here, the teacher wants us to reverse engineer this table with seemingly no information and without having taught us how. Thank you in advance.

The output of a continuous extruding machine that coats steel pipe with plastic was studied as a function of the thermostat temperature profile (A, at three levels), type of plastic (B, at three levels), and the speed of the rotating screw that forces the plastic through a tube-forming die (C, at three levels). There were two replications (n =2) at each combination of the factors yielding a total of 54 observations. The partial ANOVA table for the data is given here. Fill in the missing entries (If your anwers has decimals, always round up to two decimals. Example: if you have 1234.567 format your answer as 1234.57. Similarly, if you have 1234.5, format your answer as 1234.50)

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Source of Variation Sum of Squares d.f. Mean of Squares Fo F A 14144.44 [Answer] [Answer] [Answer] [Answer] B 5511.27 [Answer] [Answer] [Answer] [Answer] C [Answer] [Answer] 122348.20 [Answer] [Answer] AB 1069.62 [Answer] [Answer] [Answer] [Answer] AC 62.67 [Answer] [Answer] [Answer] [Answer] BC 333.67 [Answer] [Answer] [Answer] [Answer] ABC [Answer] [Answer] [Answer] [Answer] [Answer] ERROR 3127.50 [Answer] [Answer] TOTAL 270024.33 [Answer]

Explanation / Answer

Degrees of freedom would be 2 for each A, B, C and 2*2 for AB, BC and AC. 2*2*2 for ABC. SS/DF would give MS and each respective MS/MSE would give respective f-values. Please see below the complete table:-

Source of Variation Sum of Squares d.f. Mean of Squares Fo F A 14144.44 2 7072.22 61.06 3.35 B 5511.27 2 2755.64 23.79 3.35 C 244696.39 2 122348.2 1056.24 3.35 AB 1069.62 4 267.41 2.31 2.73 AC 62.67 4 15.67 0.14 2.73 BC 333.67 4 82.92 0.72 2.73 ABC 1080.77 8 135.1 1.17 2.31 ERROR 3127.5 27 115.83 TOTAL 270024.33 53

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