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Linearized least-squares data analysis

Authors: S. L. Garrett;

Linearized least-squares data analysis

Abstract

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 ω=(k/m)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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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