One of the most widely used statistical techniques is simple linear regression. This technique is used to relate a measured response variable, Y, to a single measured predictor (explanatory) variable, X, by means of a straight line. It uses the principle of least squares to come up with values of the “best” slope and intercept for a straight line that approximates the relationship. By means of ...

(a) y′ = 1 + xy (b) y′ = −2xy (c) y′ = 1− 2xy Answer: If (b) were correct, then, when x = 0, we would have that y′ = 0. However, the slope of the tangent line is clearly positive when x = 0 in the picture, so (b) cannot be correct. If (a) were correct, then y′ would be positive for all positive values of x. However, the slope of the tangent line is clearly negative for most positive x, so (a) c...

This paper describes a simple-yet-effective for a DC-DC buck converter with voltag (VMC). We propose to use a slope adjustable generator (TWG) which provides a line feed and an additional duty cycle modulatio comparing with the conventional VMC, the p significantly improves the line and load tran This triangular wave slope regulation sc compared to digital feed-forward control sch non-linear ca...

We address the problem of computing the exact characteristics of any subsegment of a digital straight line with known characteristics. We present a new algorithm that solves this problem, whose correctness is proved. Its principle is to climb the SternBrocot tree of fraction in a bottom-up way. Its worst-time complexity is proportionnal to the difference of depth of the slope of the input line ...

2,3~7o,e 2,3r/o,a bulk concentration diffusion coefficient Faraday constant exp (r?/~7o,c) -exp (-r?/r~o,~) exp (r//~7o,e) exp ( r~/~o,a) exchange current density current density limiting current density limiting current density under spherical diffusion control number of electrons number of nuclei (cm 2) radius of growing nucleus radius of critical nucleus radius of growing nucleus at which de...

Passing-Bablok regression for method comparison is a robust, nonparametric method for fitting a straight line to two-dimensional data where both variables, X and Y, are measured with error. It is useful when you have two devices that should give the same measurements and you want to compare them. This is accomplished by test estimate a linear regression line and testing whether the intercept is...

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in an axisymmetric co2-n2-h2o gas dynamic laser, let ? denote the intersection of the vertical plane of symmetry with the upper part of the (supersonic) nozzle. to obtain a maximal small signal gain, some authors have tested several families of curves for ?. to find the most general solution for ?, an application of pontryagin’s principle led to the conjuncture that the optimal ? must consist o...

Vietnamese compounds and phrasal constructions are investigated for phonetic correlates of lexical stress. Two series of experiments on the acoustic and perceptual characteristics of Vietnamese compound words and their phrasal counterparts are reported here and in a companion paper (Nguyen & Ingram, this volume), involving paradigmatic (same position within a syntactic frame) and syntagmatic co...

Whereas the influence on the elevation of visually perceived eye level (VPEL) by two bilaterally symmetric, long (64 degrees-long), pitched-from-vertical lines in total darkness is only a little more than the average of the VPELs of the two lines measured separately [Matin & Li (1999). Vision Research, 39, 307-329], in the present experiments with 49 2-line combinations of seven orientations (-...