Home
Algebra
Math Formulas
Everyday Math
Calculus
FREE e-Books
Geometry
Basic Statistics
Contact
Exclusive Topics
Basic Mathematics
Basic Algebra
Algebra
Everyday Math
Geometry
Trigonometry
Calculus
Business Math
Basic Statistics
Linear Programming
 
Other Math Links
Math Results And Formulas
Free Math E Books
History Of Mathematics
 
Higher Mathematics
Real Analysis
Group Theory
General Topology
 
» Home » Basic Statistics »

Linear Regression

Regression:
            The word regression was used by Frances Galton in 1985. It is defined as “The dependence of one variable upon other variable”. For example, a weight depends upon the heights. The yield of wheat depends upon the amount of fertilizer. In regression we can estimate the unknown values of one (dependent) variable from known values of the other (independent) variable.


Linear Regression:
            When the dependence of the variable is represented by a straight line then it is called linear regression, otherwise it is said to be non linear or curvilinear regression.
For Example, if ‘X’ is dependent variable and ‘Y’ is dependent variable, then the relation Y = a + bX is linear regression.


Regression Line of Y on X:
            Regression lines study the average relationship between two variables. In regression line Y on X, we estimate the average value of Y for a given value of X.
                                               Y = a + bX
            Where Y is dependent and X is independent variable. Alternate form of regression line Y on X is:
                                        
                                        


Regression Line of X on Y:
            In regression line X on Y we estimate the average value of X for a given value of Y.         X = C + dY     or            . Where X is dependent and Y is independent variable. Alternate form of regression line X on Y is:
                                             
                                             




Join Us on Facebook Follow Us on Twitter


© emathzone 2008-2012