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Intrinsically Linear Variables

Intrinsically Linear Variables. Can a least-squares linear regression analysis be used to determine the best fit of (F,V) data to the nonlinear expression V = k + bF c , where k is V when F = 0 ?. MATLAB’s polyfit Command.

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Intrinsically Linear Variables

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  1. Intrinsically Linear Variables • Can a least-squares linear regression analysis be used to determine the best fit of (F,V) data to the nonlinear expression V = k + bFc, where k is V when F = 0?

  2. MATLAB’s polyfit Command • Using MATLAB, x,y data can be fit and evaluated using least-squares regression analysis.

  3. Example: Fitting Ideal Gas Data For an ideal gas, pVg=C, where p is pressure, V is volume, g is the specific heat ratio, and C is a constant. Determine the best-fit value for g given the data:

  4. sensor Example: Fitting Hot-Wire Data • Hot-wire anemometry can be used to measure local flow velocity. The relationship between the flow velocity, U, and the anemometer circuit’s voltage, E, is given by King’s Law (a form of the conservation of energy). • For the following data, determine • A, B and n using LSLRA.

  5. Example: Fitting Hot-Wire Data • King’s Law can be transformed into linear intrinsic variables, where

  6. Example: Fitting Hot-Wire Data

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