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Experience with biological data, such as dimensions of organisms often confirms that .logarithmic transf~rmations should precede the testing of hypotheses ;bout regression relat10ns. However, estimates also may be needed in terms of untransformed variables. Just taking antilogarithms of values from a log-log regression line or function leads to biased estimates. This note compares corrections for this bias, and includes an example relating mass of tree .parts (b~le, branches, and leaves) to tree diameter of tulip poplar (Liriodendron tulipifera L.) m Oa~ R1dge, ~ennessee, forests. An Appendix summarizes derivation of exact and approximate unbiased estimators of expected values from log-antilog regression, and of variance around the unbiased regression line.

This document was prepared as an account of Government-sponsored work and describes a numeric data package, which is one of a series collected by the Carbon Dioxide Information Center (CDIC).' This technology was developed by various Government and private organizations who contributed it to CDIC for distribution; it did not originate at CDIC. ClDIC is informed that these data have been evaluated by the contributor, and some checking has been done by CDIC. Neither the United States Government, the Department of Energy (DOE), Martin M.arietta Energy Systems, Inc., nor any person acting on behalf of the Department of Energy or Energy Systems, makes any warranty, expressed or implied, or assumes any legal liability or responsibility for the accuracy, completeness, usefulness or functioning of any information, data, and related material or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government, the Department of Energy, Energy Systems, or any person acting on behalf of the Department of Energy or Energy Systems.

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