Linear regression, Basic Statistics

Linear  regression is  a regression methods  that models  the  relationship  between  a dependent variable   independent variables ? X1 i = 1 .........p and a random term . the model  can be  written as:

Y = β0 + β1 X1 + β2 X2 + .........β1  X1 + ?

Where  β0  is the constant  term the βs are the respective  parameters of independent variables  and p  is the  number  of parameters to be estimated in the  linear  regression. Linear  regression can be contrasted with  nonlinear  regression.

This  methods  is called linear because the relation of the  response ( the dependent  Y ) to the  independent variables is assumed to be a linear function of the parameters .it is often erroneously  thought that the reason the techniques is called  linear regression  is that the graph  of Y =β0 + β x is a straight  line or that Y  is a linear function of the X  variables. But if the model  is for example.

Y = α + β x + λx2 + ?

The problem  is still  one of  linear  regression  that is  linear in x and x2 respectively  even though the  graph  on x by  itself is not a  straight line.

Posted Date: 3/30/2013 2:37:46 AM | Location : United States







Related Discussions:- Linear regression, Assignment Help, Ask Question on Linear regression, Get Answer, Expert's Help, Linear regression Discussions

Write discussion on Linear regression
Your posts are moderated
Related Questions
marginal costing question and answer

I roll a fair die n times and don’t see the face 1 in the first r rolls (r

For a normal distribution why do we calculate the probability of a range of numbers instead of the probability of a single number?

Soddy and Rutherford, from their experimental study regarding the radioactive disintegration formulated the following laws, known as laws of radioactive disintegration. 1. Radioac

prof. ya-lu-chan definitions statistices

Questions 1. A genetic experiment with peapods resulted in one sample of offspring that consisted of 443 green peapods and 170 yellow peapods.  Construct a 95% confidence inter

#what is the importance of measures of central tendency to Human resource management

Tchebycheffs theorem As we all know standard deviation is a most widely used measure of variation. It has certain mathematical properties that facilitate development of statistica

Linear Power Supply Uses a transformer to convert voltage from the mains (wall outlet) to a different voltage. With a transformer present, almost any voltage can be obtained. If a

The mean length of the work week for the population of American workers was reported to be 39.2 hours with a standard deviation of 4.8 hours in September, 2000. A researcher wants