### ASA 126th Meeting Denver 1993 October 4-8

## 4pED7. Linearized least-squares data analysis.

**S. L. Garrett
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*Phys. Dept.---Code PH/Gx, Naval Postgraduate School, Monterey, CA 93943
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One of the most attractive features of many acoustic teaching laboratory
experiments is their ability to produce high-quality (precision) data. This
affords the possibility of also using the results of these laboratory exercises
to teach advanced techniques for data analysis that exploit the ubiquity of
least-squares data analysis routines which are now included in most hand-held
calculators and all personal computer plotting packages. This talk will
concentrate on the transformation of general two-parameter nonlinear equations
into linear forms suitable for least-squares-fitting techniques. This
transformation technique will be demonstrated to (i) extract the effective
moving mass of the spring to correct the simple (omega)=(k/m)[sup 1/2]
expression for the simple harmonic oscillator; (ii) extract the distance from
the end of the pendulum string to the pendulum bob center-of-mass in the simple
pendulum experiment; (iii) extract the location of the acoustic center of a
projector from measurement of the free-field pressure versus separation; and
(iv) extract the cutoff frequency and thermodynamic sound speed from the phase
speed versus frequency measurement in a water-filled, pressure-released
waveguide.