Taylor Series Uncertainty of a Linear Regression Curve Fit

2017 ◽  
pp. 107-129
Author(s):  
Benjamin D. Shaw
Keyword(s):  
Linear Regression ◽  
Taylor Series ◽  
Regression Curve ◽  
Curve Fit ◽  
Linear Regression Curve

STUDIES ON THE PITUITARY MELANOPHORE-EXPANDING HORMONE WITH REFERENCE TO ITS IDENTITY WITH ACTH

1954 ◽  
Vol 11 (1) ◽  
pp. 7-13 ◽  
Author(s):  
B. KETTERER ◽  
ELIZABETH REMILTON
Keyword(s):  
Linear Regression ◽  
Dose Response ◽  
Progressive Increase ◽  
Regression Curve ◽  
Response Curves ◽  
Experimental Conditions ◽  
Response Data ◽  
The Mean ◽  
Dose Response Curves ◽  
Linear Regression Curve

SUMMARY 1. The standard Xenopus method for the assay of pituitary melanophore-expanding hormone has been critically examined, and the results from various assay procedures are statistically analysed. 2. Log dose-response data are well fitted by a linear regression curve. Responses at 3 hr give a steeper curve than those at 1½ hr. 3. Results collected 6 months apart show that the mean and slope of dose-response curves remain constant when Xenopus are given regular dosage; there is, however, a progressive increase of variance with time shown by the colony under these experimental conditions. 4. Evidence is presented to show that Xenopus must be minimally disturbed during assay, and that assay doses must be given not less than 1 day apart.

Milk ejection in dairy cows at different degrees of udder filling

2001 ◽  
Vol 68 (3) ◽  
pp. 369-376 ◽  
Author(s):  
RUPERT M. BRUCKMAIER ◽  
MONIKA HILGER
Keyword(s):  
Linear Regression ◽  
Dairy Cows ◽  
Storage Capacity ◽  
Early Lactation ◽  
Regression Curve ◽  
Milk Ejection ◽  
Automatic Milking Systems ◽  
The Relationship ◽  
Late Stages ◽  
Linear Regression Curve

Occurrence of milk ejection and course of milk removal were investigated in 18 dairy cows at milking intervals of 4, 8 and 12 h in early, mid or late lactation. Milk ejection occurred fastest in early lactation at a milking interval of 12 h and was delayed at short milking intervals and in late lactation. Storage capacity of the udder was estimated and the actual milk yields of experimental milkings were calculated as a percentage of storage capacity, i.e. degree of udder filling. It was shown that the occurrence of milk ejection after the start of teat stimulation is a function of udder filling. The relationship between the degree of udder filling and the delay from the start of milking until commencement of milk ejection followed a linear regression curve. Changes in occurrence and course of milk ejection have to be considered in practical milking, mainly in late stages of lactation and after short milking intervals. In automatic milking systems where variable and sometimes extremely short milking intervals occur, the duration of pre-milking udder preparation should be adapted to the expected milk yield at each individual milking procedure.

scholarly journals Constraint-Aware Electricity Consumption Estimation for Prevention of Overload by Electric Vehicle Charging Station

Energies ◽  
2019 ◽  
Vol 12 (6) ◽  
pp. 1000 ◽  
Author(s):  
Namhyun Ahn ◽  
So Jo ◽  
Suk-Ju Kang
Keyword(s):  
Energy Consumption ◽  
Linear Regression ◽  
Real Time ◽  
Electricity Consumption ◽  
Regression Curve ◽  
Charging Station ◽  
Electric Vehicle Charging ◽  
Vehicle Charging ◽  
Charging Stations ◽  
Linear Regression Curve

An increase in the number of electrical vehicles has resulted in an increase in the number of electrical vehicle charging stations. As a result, the electricity load consumed by charging stations has become large enough to de-stabilize the electricity supply system. Therefore, real-time monitoring of how much electricity each charging station is consuming has become very much important. However, only limited information such as charging time is available from the operators of electric vehicle charging stations. The actual electricity consumption data is not provided in real time. Conventional methods estimate the accumulated electricity consumption of charging stations using a linear regression curve. However, an estimate of the electricity consumption for each charge is needed. In this paper, we propose an advanced electricity estimation system which predicts the energy consumption for each charge. The proposed method uses a constraint-aware non-linear regression curve, and performs additional data selection processes. The experimental results show that the proposed system achieves about 73% regression accuracy. In addition, the proposed system can display the energy consumption per hour and visualize this information on a map. This makes it possible to monitor the electricity consumption of the charging stations in real-time and by location, which helps to select appropriate locations where new vehicle charging stations need to be installed.

scholarly journals ANN based Short-Term Load Curve Forecasting

2018 ◽  
Vol 13 (6) ◽  
pp. 938-955
Author(s):  
Violeta Eugenia Chis ◽  
Constantin Barbulescu ◽  
Stefan Kilyeni ◽  
Simona Dzitac
Keyword(s):  
Distribution System ◽  
Load Forecasting ◽  
Software Tool ◽  
Regression Curve ◽  
Short Term ◽  
Load Curve ◽  
Consumption Data ◽  
Short Term Load Forecasting ◽  
System Operator ◽  
Linear Regression Curve

A software tool developed in Matlab for short-term load forecasting (STLF) is presented. Different forecasting methods such as artificial neural networks, multiple linear regression, curve fitting have been integrated into a stand-alone application with a graphical user interface. Real power consumption data have been used. They have been provided by the branches of the distribution system operator from the Southern-Western part of the Romanian Power System. This paper is an extended variant of [4].

Measurement of phase I volume breath by breath in spontaneously breathing guinea pigs

1990 ◽  
Vol 69 (2) ◽  
pp. 747-755
Author(s):  
T. Gaertner ◽  
W. K. Barnikol
Keyword(s):  
Phase I ◽  
Guinea Pigs ◽  
Normal Values ◽  
Significant Rise ◽  
Regression Curve ◽  
Bronchial System ◽  
The Mean ◽  
Spontaneously Breathing ◽  
Linear Regression Curve

A new method to determine phase I volume in tracheotomized spontaneously breathing guinea pigs is presented. Measurements were performed in three animals weighing 567-896 g. In simultaneous tracings of tidal volume (VT) and expiratory profiles of endogenous gases (PO2 or PCO2), the phase I volume of each breath was determined graphically as the volume expired up to the end of phase I of the expirogram. The mean phase I volume of different animals ranged from 0.29 to 0.43 ml with an arithmetic dispersion between 0.014 and 0.021 ml. Spontaneous sighs sometimes with doubling of the VT caused a significant rise of phase I volume up to 50% of the normal values. The linear regression curve was calculated for corresponding VT's and phase I volumes. The VT gradient of the phase I volume as the slope of this curve ranged from 0.108 to 0.217 ml/ml VT. The results of the new procedure, which works also with humans and rabbits, are discussed in respect to improvement of the characterization of the bronchial system. Compared with the human system, the VT gradient of the guinea pig is four times greater. By not being affected by disorders in pulmonary gas exchange, the phase I volume determined as described is a new suitable quantity to specifically assess actions and reactions of the bronchial system.

scholarly journals Proposal for a Methodology Based on XRD and SEM-EDS to Monitor Effects of Lime-Treatment on Clayey Soils

2020 ◽  
Vol 10 (7) ◽  
pp. 2569 ◽  
Author(s):  
Laura Moretti ◽  
Stefano Natali ◽  
Alice Tiberi ◽  
Antonio D’Andrea
Keyword(s):  
Natural Soil ◽  
Clayey Soils ◽  
Natural Clay ◽  
X Ray Diffraction ◽  
Regression Curve ◽  
Lime Treatment ◽  
Sem Images ◽  
X Ray ◽  
Linear Regression Curve

The aim of this paper is to present the results of X-ray diffraction (XRD) tests and scanning electron microscopy-energy dispersive X-ray spectroscopy (SEM-EDS) analyses on a natural and lime-treated clay, in order to determine the percentage of lime able to stabilize soil. For this reason, XRD test analyses have been conducted on natural soil (TQ0) and on two different mixtures (TQ3 and TQ5): The former with 3% and the latter with 5% by mass of quicklime. These mixtures have been analyzed at different curing times: At the addition of lime (0 d), and after a mellowing period of 7 and 28 d. The obtained results show that 3% of CaO is the percentage of quicklime able to modify the material (initial consumption of lime (ICL)) and 5% of CaO is the percentage able to stabilize it (lime stabilization optimum (LSO)). Finally, SEM images allowed for the monitoring of the process of reactions between the soil and lime during the mellowing period, while EDS analyses validated the XRD results in terms of chemical composition of the examined soil. For the examined natural clay, statistical analysis of the obtained EDS results identified a linear regression curve between the added quicklime and the after-treatment Ca content. The proposed approach could be adopted to calculate the content of calcium after the treatment and verify the in situ-added CaO during roadworks or at the end of them.

Partial Linear Method for Background Harmonic Voltage Estimation

2014 ◽  
Vol 960-961 ◽  
pp. 710-715
Author(s):  
Xiu Fang Jia ◽  
Shao Guang Zhang ◽  
Hai Qing An
Keyword(s):  
Linear Regression ◽  
Taylor Series ◽  
Linear Method ◽  
Test System ◽  
Regression Method ◽  
Linear Regression Method ◽  
Bandwidth Control ◽  
Harmonic Voltage ◽  
Partial Linear

The linear regression method which will be influenced by fluctuations could only calculate constant background harmonic voltage. To make up the limitation, this paper studies partial linear method. The method expands fluctuant background harmonic voltage at a time in accordance with Taylor series. On the basis of least sum of square error, the objective function selected by the method considers the influence of weight and uses bandwidth control each size of weight. This method can calculate fluctuant background harmonic voltage accurately. A case study based on the IEEE 14-bus test system is conducted and the results indicate that fluctuant background harmonic voltage can be obtained effectively and accurately by the proposed method.

Sign in / Sign up

Export Citation Format

Share Document