Determine rate law from experimental data [closed]








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For the reaction A -> B + C we have the following experimental data. 


\begin{array}{cccc}
\text{Experiment} & \ce{P\_A} &\ce{P\_B} &\ce{P\_C} & \text{Reaction rate}\ce{}\\\hline
1 & 1 & 1 & 1 & 3.5\\
2 & 5 & 1 & 1 & 1.1\\
3 & 10 & 1 & 1& 0.7\\
4 & 2 & 5 & 1& 1.9\\
5 & 2 & 10 & 1& 1.6\\
6 & 3 & 0 & 5& 1.5\\
7 & 3 & 0 & 10& 1.2\\
8 & 0 & 5 & 8& 0\\
9 & 3 & 3 & 3& 1.4\\
\hline
\end{array}


I have been searching around the internet, but it seems like many of the examples that I found include fewer experiments and/or different chemical reactions.
I am thus wondering what method one can use to find the appropiate rate law, and if one uses all of the experimental data? Looking at all the data at once it is harder to see the pattern.


Supposedly this should be possible to do without using regression with Excel or other computer software.


Any suggestions are highly appreciated!


