11b_function_discovery

11b_function_discovery - ENGR 19500 Function Discovery...

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ENGR 19500 — Function Discovery 18 Choosing a Model—Function Discovery Excel and MATLAB extend the tools of linear regression to other data models. An important skill in modeling is identifying the functional relationship between two variables of interest. Some common functions of interest are Linear: y(x) = mx + b Power: y(x) = b x m Exponential: y(x) = b 10 mx Logarithmic: x(y) = b 10 my Fortunately, these functions all have unique behaviors that distinguish them. Frequently, the context of the variables being modeled will determine one or more model parameters. Steps for function discovery To discover which of these functions best represents the relationship between two variables, we will consider what the data and the theory indicate near the origin. Sometimes, it will be useful to plot the data on various types of axis scales as a diagnostic tool to understand the nature of the relationship. Examine data and theory near the origin; look for zeros and ones for a hint as to type.
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11b_function_discovery - ENGR 19500 Function Discovery...

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