Regression analysis, Applied Statistics

Meaning and Definitions of Regression

The dictionary meaning of regression is just opposite the meaning of progression. Progression means to move forward while regression means to move backward going back. Or the return to the mean value. The erm Regression was first used by sir Francis Galton   in1877 in a study paper titled Regression toward Mediocrity in Hereditary Statue. In this paper he analysed the relationship between tjhe height of fathers and their sons. The sir galton   of correlation between theheight of fathers and sons was0.8.He noted in the above study that if the average height of a certain set of fathers is x cm. Above the general average. Thus there was a tendency or move average .Thus there was a tendency or move toward mediocrity. Galton described the average relationship between the height of father and their sons as the line of regression.

Regression is used to establish relationship between two sets of related variables. The important definitions given by prominent  writers are as given below .

Regression is the measure   of average relationship between two or more variables in terms of the original   units of the data.

It  is often more  important to f find out what  the relationship  actually is, in order to estimate or predict one variable  and the statistical  technique  appropriate  to such a case is called  regression analysis.            M. M .Blair

One of the frequently used technique   in economics and business research   to find a relation between two or more variable that are  related causally, is regression are related.                                                            Taro Yamana

From the above definitions it may be concluded that regression analysis is a mathematical measure of the average relationship between a series of two or more variable in terms of the original units of data under study. It is used to predict the value of one variable on the basis of other variable. 

Posted Date: 9/27/2012 6:22:32 AM | Location : United States







Related Discussions:- Regression analysis, Assignment Help, Ask Question on Regression analysis, Get Answer, Expert's Help, Regression analysis Discussions

Write discussion on Regression analysis
Your posts are moderated
Related Questions
The State Department of Taxation wishes to investigate the effect of experience, x, on the amount of time, y, required to fill out Form ST 1040AVG, the state income-averaging form.

Weighted Harmonic Mean Weighted Harmonic Mean is calculated with the help of the following formula: WHM Case

Ask queFrom these studies, which of the following may be considered a variable that can have a probability distribution? [I] Percentage of Sub-Saharan Africans that smoke [II] Perc

The displacement of a simply supported beam subject to a uniform load is given by the solution of the following differential equation (for small displacements); and q is th

There are two types of drivers, high-risk drivers with an accident probability of 2=3 and low risk drivers with an accident probability of 1=3. In case of an accident the driver su

Read the following data on the economy of Angoia and answer/respond to the questions/instructions that follow. Unless otherwise stated, the monetary figures are in real billions o

Jocko's Garage has been accused of insurance fraud. Data on estimates made by Jocko and another garage were obtained for 10 damaged vehicles (available in 'jockogarage.txt'). Here

A researcher is interested in comparing the effectiveness of three different parts of therapy for anger problems. 8 participants are randomly assigned to 3 treatment conditions: Co

The Harmonic Mean is based on the reciprocals of numbers averaged. It is defined as the reciprocal of the arithmetic mean of the reciprocal of the given individual observations. Th

what is the the Latin Square design? What is its application in research? please explain this term with very simple but with detailed explanation for effective understanding. I hav