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
Assume that a simple random sample has been selected from a normally distribute population and test the given claim. Identify the null and alternative hypotheses, test statistic,

The Null Hypothesis - H0:  The random errors will be normally distributed The Alternative Hypothesis - H1:  The random errors are not normally distributed Reject H0: when P-v

The management at Superior Health Care System Incorporated recently purchased several new facilities including the central patient information management center. This purchase will

Scatter Diagram The first step in correlation analysis is to visualize the relationship. For each unit of observation in correlation analysis there is a pair of numerical value

A manufacturer has received complaints that aging production equipment is forcing workers to work overtime in order to meet production quotas. Historically, the average hours worke

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


Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

Using Chi Square Test when more than two Rows are Present   To understand this, let us consider the contingency table shown below. It gives us the information about the stage

Of the 6,325 kindergarten students who participated in the study, almost half or 3,052 were eligible for a free lunch program. The categorical variable sesk (1 == free lunch, 2 = n