LM curve is a graph that plots equilibrium output dictated by the financial market at different interest levels. It slopes upward because high output/GDP is associated with high interest rate due to high demand for money and vice versa.
AUC-ROC curve is one of the most commonly used metrics to evaluate the performance of machine learning algorithms particularly in the cases where we have imbalanced datasets. In this article we see ROC curves and its associated concepts in detail. Finally, we demonstrated how ROC curves can be...
Mar 10, 2016 · Cumulative curves (ranked OTUs) demonstrated rapid plateauing of mapped read abundance (Fig. 5 and Additional file 6: Figure S1). Phototrophs represented 618 out of the 802 robust OTUs, i.e. 77 % of OTUs (53.3–84.6 % depending on the sample) and overall 98 % of mapped reads (83.2–99.4 % depending on the microflora sample) (Fig. 13 ...
To find the slope I took the partial derivative with respect to $x$ and then with respect to $y$. $\begingroup$ I don't know why you are focusing somewhat indirectly on finding the slopes of these curves, when you can compute their equations explicitly.
The rank-abundance curve in Figure 1 describes a lognormal distribution pattern, indicating how varied the community was. The density dependent measures showed that the study area had high diversity in all plots (Table 1). The Fisher’s alpha diversity index (α) range from 96.53 to 109.56 and the average for all plots is 102.27.
constructing a so-called “collector’s curve” (Colwell and Coddington 1994). These plot the cumulative number of species observed (y-axis) against the cumulative number of individuals classified (x-axis). The collector’s curve is an increasing function with a slope that will decrease as more individuals are classified and as fewer species