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Pivot Points in Bivariate Linear Regression
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作者 Carl V. Lutzer David L. Farnsworth 《Open Journal of Statistics》 2021年第3期393-399,共7页
There are little-noticed points in the plane, which are artifacts of linear regression. The points, which are called pivot points, are the intersections of sets of regression lines. We derive the coordinates of the pi... There are little-noticed points in the plane, which are artifacts of linear regression. The points, which are called pivot points, are the intersections of sets of regression lines. We derive the coordinates of the pivot point and explain its sources. We show how a pivot point arises in a certain notable data set, which has been analyzed often for points of high leverage. We obtain the application of pivot points that shortens calculations when updating a set of bivariate observations by adding a new point. 展开更多
关键词 Augmented Data Set Bilinear regression Influence Leverage Pivot Point Updating a regression line
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A new photon kinetic-measurement based on the kinetics of electron-hole pairs in photodegradation of textile wastewater using the UV-H_2O_(2FS)-TiO_2 process 被引量:3
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作者 SHIGWEDHA Nditange HUA Zhao-zhe CHEN Jian 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2007年第3期367-373,共7页
Actual textile wastewater and synthesized wastewater containing various textile dyes were photocatalytic degraded by the UVH2O2Fs-TiO2 process in an aimular-flow photocatalytic reactor. In this process, a photon kinet... Actual textile wastewater and synthesized wastewater containing various textile dyes were photocatalytic degraded by the UVH2O2Fs-TiO2 process in an aimular-flow photocatalytic reactor. In this process, a photon kinetic-measure was adopted to obtain constant rates of dyes decomposition. It was theorized that, by illumination at different UV frequencies, the electrons within the semiconductor were excited from the valence band to the conduction band, yielding the formation of electron-hole pairs which are the pre-requisites for photocatalysis. CPT (critical photonic time) exposure required to cause 90% of vibrations between the double and single bonds along the molecular chain of the dyes to be oxidized, was taken to measure the photocatalytic activities. The CPTs varied with the frequencies of the UV spectral areas. The derivatization of CPT from the first-order kinetic law was presented. 展开更多
关键词 critical photonic time (CPT) photon efficiency UV frequencies regression line textile wastewater
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Prediction of rice productivity in Kandhamal district of Orissa using simulation modeling
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作者 Banshidhar Panda Milu Acharya Dwitikrishna Panigrahi 《International Journal of Modeling, Simulation, and Scientific Computing》 EI 2014年第4期170-183,共14页
Simulation technique has been employed to predict rice yield of Kandhamal plateaus in Orissa(India)using the data of previous years.Preliminary simulation model has been developed The test for uniformity and independe... Simulation technique has been employed to predict rice yield of Kandhamal plateaus in Orissa(India)using the data of previous years.Preliminary simulation model has been developed The test for uniformity and independence has been conducted using Kolmogrov–smironov test and auto-correlation test,respectively.The result obtained has been subjected to testing of hypothesis by using two sided test.Data for five years(1995 to 2000)are used for model validation and the sample size is increased to 12 years i.e.,from 1995 to 2007 for prediction up to 2012.Sensitivity analysis is conducted by changing the parameters within feasible limits to find out the effect on the model. 展开更多
关键词 Simulation modeling pilot experiment empirical distribution prediction interval regression line
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