Measuring the outcome of an intervention is central to the practice of evidence based medicine, and most research papers evaluating patient outcomes now incorporate some form of patient-based metric, such as questionnaires or performance tests. Once an outcome has been defined, researchers typically want to know if any other factors can influence the result. This is typically assessed with regr...

How to calculate the goodness-of-fit of a fractal dimension To the Editor, Karyometric data are helpful for differential diagnosis and prognosis [1–4]. A new morphometric variable, the coefficient of determination of the Minkowski frac-tal dimensions (the R 2 value between the y of the regression lines and y values of the real data) has recently been introduced [1,2]. Adam et al. [1] described ...

The increasing integration of distributed energy resources (DERs) calls for new planning and operational tools. However, such tools depend on system topology and line parameters, which may be missing or inaccurate in distribution grids. With abundant data, one idea is to use linear regression to find line parameters, based on which topology can be identified. Unfortunately, the linear regressio...

In viscose production, it is important to monitor the concentration of several substances (H2SO4,Na2SO4 and ZnSO4) as part of the spin bath in order to assure a high quality of the final product. The acid and the two salts govern the precipitation and agglomeration of the cellulose from viscose solution and the formation of the viscose fibre. During on-line production, these process parameters ...

Each dot represents one company as the intersection of its output (X) and its costs (Y). The solid line (OLS) represents the “Ordinary Least Squares” regression line, which defines the average or expected value of Y (costs) for each value of X (output). It is defined by the intercept, a, and the gradient, b. Without delving into the details of the technique, it amounts to “drawing a line throug...

ER (Extended R-squared) is proposed as a similarity measure for on-line signature verification. SLR (Simple Linear Regression) defines R as a measure of goodnessof-fit. We observed that R is a good similarity measure for 1-dimensional sequences. However, many kinds of sequences are multidimensional, such as on-line signature sequences, 2D curves, etc. Therefore, we extend R to ER for multidimen...