Hi, You can use least square methods. Such a task is usually done using a programing environment that has optimizing modules (such as Matlab or Aspen Custom Modeler). Please refer to my papers about hydrocracking.
Your question does not make much sense. By definition, a kinetic curve (kinetics) is a function of concentration versus time. The rate dc/dt is a derivative (slope) of this curve at each moment of time. A plotting of [c] versus time is the way to visualize your data, which is not obligatory. You may treat your kinetic data using tables, but plotting is always helpful.
I want to know that the reaction which is happening, is classified as a "Zero-order", "First-order", or a "Second-order" reaction.
Just by plotting the Concentration vs. Time figure, I could not make a good conclusion about it. Thats why im looking for another method in order to see what kind of reaction it is.