log-log plot technical
log-log graph technical

It is very convenient, however, because its relationship between and appears as a straight line in a log-log plot.

A simple linear regression is then fitted to the log-log plot.

Alternatively, if a power law spectrum was evident, the log-log plot would be straight.

His "universal computer" was based on a log-log plot.

When plotted in a log-log plot, the distribution is represented by a straight line.

On a log–log plot swimming speed decreased linearly with time after encounter of prey.

For log-log plots, we do Kepler's law concerning period vs average distance from sun.

This can be seen by computing the slope on a log-log plot:

Log-log plots were inspected to assess for proportionality of hazards over time.

Log-log plots were inspected to verify the existence of proportional hazards.

Authors often quote a correlation coefficient, however this is generally meaningless on a log-log plot.

The insets show log-log plots of ' against t for the same data sets.

The above procedure now is reversed to find the form of the function F(x) using its (assumed) known log-log plot.

Plot the errors against the number of panels on a log-log plot for each method separately.

In this log-log plot, the crack-propagation velocity is plotted against the applied stress-intensity range.

This equation implies that if one makes a log-log plot of adsorption data, the data will fit a straight line.

The log–log plot of this relation, termed the biomass spectrum, is used to compare aquatic ecosystems in various parts of the world.

Bode plot (a graph of the frequency response of a system) is also log-log plot.

Log-log plots are an alternative way of graphically examining the tail of a distribution using a random sample.

Therefore a log-log plot that is slightly "bowed" downwards can reflect a log-normal distribution - not a power law.

In other words, this measures the slope of the empirical line on the log-log plot of execution time vs. problem size, at some size point.

The most commonly used parameter for this purpose is the spectral index (slope of the power spectral density function on a log–log plot).

Einasto's law can be described as a generalization of a power law, , which has a constant slope on a log-log plot.

In figure 3, the risk of poisonings for all transplant recipients was similar for the first six months by both survival plots and log-log plots.

Log-log plot of the average energy of a quantum mechanical oscillator (shown in red) as a function of temperature.

Setting and which corresponds to using a log-log graph, yields the equation:

A straight line on this log-log graph indicates statistical self-affinity expressed as .

In other words, F is proportional to x to the power of the slope of the straight line of its log-log graph.

Self-similarity requires that the points on the log-log graph are sufficiently collinear across a very wide range of window sizes .

The scaling exponent is calculated as the slope of a straight line fit to the log-log graph of against using least-squares.

Zipf's law is most easily observed by plotting the data on a log-log graph, with the axes being log (rank order) and log (frequency).

The transition from section control to channel control can often be inferred by a change in the slope of a rating curve when plotted on log-log graph paper.

If the number of points is sufficiently large, and evenly distributed, a log-log graph of the correlation integral versus ε will yield an estimate of ν.

This detrending followed by fluctuation measurement process is repeated over the whole signal at a range of different window sizes , and a log-log graph of against is constructed.

Plots on paper with one log scale can show up exponential laws, and on log-log paper power laws, as straight lines (see semilog graph, log-log graph).

In science and engineering, a log-log graph or log-log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes.

By plotting the noise power against the reciprocal temperature on a log–log graph and performing a linear least square fit on part of the data, a trap energy level of 821 meV above the valence band was determined.

The output variable y can either be represented linearly, yielding a lin-log graph (log x, y), or its logarithm can also be taken, yielding the log-log graph (log x, log y).

Monomials - relationships of the form - appear as straight lines in a log-log graph, with the power and constant term corresponding to slope and intercept of the line, and thus these graphs are very useful for recognizing these relationships and estimating parameters.