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In example $9\mathrm{.}1$ for the proposed design, use the suitable analysis and method that can be used to find the final equation of the second$-$order model. What are the expected errors that can be calculated based on this proposed model?

Note: Use only one central point in the analysis.

$\backslash$table$[[$Run$,$A$,$B$,$Strength$],[1,-1,-1,210],[2,+1,-1,280],[3,-1,+1,365],[4,+1,+1,420],[5,-,0,250],[6,+,0,380],[7,0,-,190],[8,0,+,420],[9,0,0,330]]$

Design of Experiments $|$ Dr$.$Bassim Bachy $.$

$1$

Example $9\mathrm{.}1$

In this example, the casting process is to be optimized for the casting time $($A$,40-60s)$ and temperature$($B$,200-260C).$ Suggest a suitable response surface methodology that can be used for this case study

Answer:

Dependencies are supposed to be nonlinear and also interactions may exist. Because of the process is including only two parameters, therefore, the CCD is the suitable design for this case. The value of $$ is $1\mathrm{.}41.$