Can someone please me how to solved the sum of square and the mean square. i hav
ID: 3260470 • Letter: C
Question
Can someone please me how to solved the sum of square and the mean square. i have done the effect but I don't know how to do the rest. I will really apperacite someone can give detail how to solved the problem
A chemical reaction was run using two levels each of temperature (A), reagent concentration (B), and pH (C). For each factor, the high level is denoted 1, and the low level is denoted -1. The reaction was run twice for each combination of levels, and the field (in percent) was recorded. The results were as follows. A B CYieldsMean Yield 1 -1 -175, 70 1-1-174, 74 1 1-177, 7.3 1 1-186, 90 1-1 171, 67 1-1 1 77, 77 1 1 174, 85 1 1192, 81 72.5 74.0 75.0 88.0 69.0 77.0 79.5 86.5Explanation / Answer
————— 03/07/2017 17:12:54 ————————————————————
Welcome to Minitab, press F1 for help.
MTB > Name C1 "StdOrder" C2 "RunOrder" C3 "CenterPt" C4 "Blocks" C5 "A" C6 "B" C7 "C"
MTB > FFDesign 3 8;
SUBC> CTPT 'CenterPt';
SUBC> SOrder 'StdOrder' 'RunOrder';
SUBC> Alias 3;
SUBC> XMatrix 'A' 'B' 'C'.
Full Factorial Design
Factors: 3 Base Design: 3, 8
Runs: 8 Replicates: 1
Blocks: 1 Center pts (total): 0
All terms are free from aliasing.
MTB > FFactorial 'y' = C5 C6 C7 C5*C6 C5*C7 C6*C7 C5*C6*C7;
SUBC> Design C5 C6 C7 C4;
SUBC> Order C1;
SUBC> InUnit 1;
SUBC> Levels -1 1 -1 1 -1 1;
SUBC> CTPT C3;
SUBC> Brief 3;
SUBC> Alias.
Factorial Fit: y versus A, B, C
Estimated Effects and Coefficients for y (coded units)
Term Effect Coef
Constant 77.688
A 7.375 3.687
B 9.125 4.562
C 0.625 0.312
A*B 2.625 1.313
A*C 0.125 0.063
B*C 0.875 0.438
A*B*C -3.125 -1.563
S = * PRESS = *
Analysis of Variance for y (coded units)
Source DF Seq SS Adj SS Adj MS F P
Main Effects 3 276.094 276.094 92.031 * *
A 1 108.781 108.781 108.781 * *
B 1 166.531 166.531 166.531 * *
C 1 0.781 0.781 0.781 * *
2-Way Interactions 3 15.344 15.344 5.115 * *
A*B 1 13.781 13.781 13.781 * *
A*C 1 0.031 0.031 0.031 * *
B*C 1 1.531 1.531 1.531 * *
3-Way Interactions 1 19.531 19.531 19.531 * *
A*B*C 1 19.531 19.531 19.531 * *
Residual Error 0 * * *
Total 7 310.969