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Unformatted text preview: Data Analysis  Use of Matlab to Analyze Real World Data Why Analyze Data? Why measure or acquire data? Lord Kelvin: “ To measure is to know “ “ If you cannot measure it you cannot improve it” “ Xrays will prove to be a hoax” “radio has no future” Using the Linear, Power, and Exponential Functions to Describe data. Each function gives a straight line when plotted using a specific set of axes: 1. The linear function y = mx + b gives a straight line when plotted on rectilinear axes. Its slope is m and its intercept is b . 2. The power function y = bx m gives a straight line when plotted on loglog axes. 3. The exponential function y = b (10) mx and its equivalent form y = be mx give a straight line when plotted on a semilog plot whose yaxis is logarithmic. 62 62 Function Discovery. The power function y = 2 x  . 5 and the exponential function y = 10 1 x plotted on linear, semilog, and loglog axes. . 63 63 Steps for Function Discovery 1. Examine the data near the origin. The exponential function can never pass through the origin (unless of course b = 0, which is a trivial case). The linear function can pass through the origin only if b = 0. The power function can pass through the origin but only if m 0. 64 64 Examples of exponential functions 65 65 Examples of power functions....
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 Summer '08
 Patzek
 Exponential Function, Lord Kelvin, power function

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