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Application of Regression Analysts to the Power Function

P. C. McWilliams, J. E. Furchner, Charlie Richmond

Open publisher page 3 citations

Abstract

With electronic computers to do the labor, it is possible to perform regression analyses on power and exponential functions without recourse to logarithmic transformations. It is emphasized that fitting a function of the form, Y = aXb, to experimental data may give results guite different from those obtained by fitting a function of the form, log Y = log a + b log X, to logarithms of the same data.

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What this paper is about

With electronic computers to do the labor, it is possible to perform regression analyses on power and exponential functions without recourse to logarithmic transformations. It is emphasized that fitting a function of the form, Y = aXb, to experimental data may give results guite different from those obtained by fitting a function of the form, log Y = log a + b log X, to logarithms of the same data.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

With electronic computers to do the labor, it is possible to perform regression analyses on power and exponential functions without recourse to logarithmic transformations. It is emphasized that fitting a function of the form, Y = aXb, to experimental data may give results guite different from those obtained by fitting a function of the form, log Y = log a + b log X, to logarithms of the same data.

Key concepts: Logarithm, Power function, Exponential function, Function (biology), Regression, Regression analysis, Power (physics), Linear regression

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