Computational Example Part I Determining the Model Parameters

4 Computational Example Part I Determining the Model Parameters 

Consider the problem of trying to estimate the resistance coefficient for the orifice flow out of a tank. For the particular flow rates and orifice size, the relationship is assumed to be 

Before obtaining the actual parameter estimates, it is instmctive to set up the problem in the proper framework. Converting from the parameters given in the problem statement to the standard regression parameters gives 

The value of m is seven (as there are seven data points) and n is one (as there is only one parameter of interest). 

Units should always be included in the final answer. It is rare that a parameter in engineering does not have some physical units attached. The number of decimals to display is determined by the cmifidence interval. Intermediate results should contain a reasonable amount of digits. All digits should be used to perform the calculations. 

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