Scatterplots of the dependent variable LN_TBCOEF10 related to the independent variables LN_PEROOM, LN_ILLITER, and LN_INADSAN (the variables transformed to
natural logarithm now have the prefix "LN_") were then constructed.
Regression of the
natural logarithm of raw counts on time yielded a naive estimate of the intrinsic growth rate (r) of 0.
5) When variables are expressed in
natural logarithm this was taken over the Tornqvist quantity index
dt is the
natural logarithm of the international food price index for a specific country, [gdp.
Log-levels must be used to calculate estimated impacts since all regulation variables are entered as
natural logarithms.
Finally, the multiple linear model in terms of
natural logarithm of total phosphorus (TP') is
Leonard (1975) described a Bayesian hierarchical model with multivariate normal structure for means and for
natural logarithms of variances that clearly demonstrates important properties of shrinkage estimators when applied to both means and variances.
Most calculators have the capacity to compute
natural logarithms directly.
To document growth, the data were transformed to
natural logarithms (7).
851 Note: all variables are expressed in terms of their
natural logarithms.
Male crabs were designated as either morphometrically immature or mature by using differences in the regression equations for the relationships between the
natural logarithms of the length of the dorsal propodus of their largest cheliped and carapace width in what were clearly either juvenile (small and gonadally immature) or adult crabs (large and gonadally mature).
To do so, we took the
natural logarithms of all the rates available to us and then regressed the
natural logarithms of the wages, fatality rates, and injury and illness rates against the year of observation.
