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
The average cost of a gallon of unleaded gasoline in Greater Cincinnati was reported to be $2.41 (The Cincinnati Enquirer, February 3, 2006). During periods of rapidly changing pri

A fox fleeing from a hunter encounters a 0.730 m tall fence and attempts to jump it. The fox jumps with an initial velocity of 7.10 m/s at an angle of 45.0°, beginning the jump 2.1

Employer's FICA tax rate for 2012 The employer's FICA tax amount for 2012 involves 1) the Public Protection tax amount of 6.2% of each individual's first $110,100 of income, inc


Mean Deviation The two methods of dispersion discussed above namely range and quartile deviation are not measure of dispersion in the strict sense of te term because they do not s

Isotopes Elements having same atomic number Z, but different A mass number for example 126C, 146C and 11H 21H, 31H are isotopes of carbon and hydrogen.

1. Penny Pincher, Inc. had a contribution margin of $33,000 on sales of $50,000 and had fixed costs of $18,000. Calculate its break-even point in sales dollars. 2. Krueger Company


How many free premium channels should research director recommend

1. (i) Complaints were made about the level of pollutants in the discharge from a certain factory.  The factory refuted the complaints by showing the results of their own analysis