Determination of the regression equation, Mathematics

Determination of the Regression Equation

The determination of the regression equation such given above is generally done by using a technique termed as "the method of least squares'.

Regression equation of y on x that is y = a + bx

774_Determination of the Regression Equation.png

The given sets of equations generally known as common equation are utilized to determine the equation of the above regression line when described a set of data.

Σy = an + bΣx  

Σxy = aΣx + bΣx2

Whereas Σy = Sum of y values

Σxy = sum of the product of x and y

Σx = sum of x values

Σx2= sum of the squares of the x values

a = the intercept on the y axis

b = Slope gradient line of y on x

NB: The above regression line is generally used in one way only that is used to estimate the y values when the x values are described.

Regression line of x on y that is x = a + by

- The fact that regression lines can only be utilized in one way leads to what is termed as a regression paradox

- It means that the regression lines are not ordinary mathematical line graphs such may be utilized to estimate the x and y simultaneously

- Hence one has to be careful when using regression lines as it becomes essential to develop an equation for x and y before doing the estimation.

Posted Date: 2/16/2013 7:14:52 AM | Location : United States







Related Discussions:- Determination of the regression equation, Assignment Help, Ask Question on Determination of the regression equation, Get Answer, Expert's Help, Determination of the regression equation Discussions

Write discussion on Determination of the regression equation
Your posts are moderated
Related Questions

Audrey measured the width of her dining room in inches. It is 150 inches. How many feet huge is her dining room? There are 12 inches in a foot. Divide 150 by 12 to find out the

Different types of rectilinear figures



Grouping - situations in which we need to find the number of portions of a given size which can be obtained from a given quantity. (e.g., if there are 50 children in a class and t

What is the better buy?a square pizza measuring 8 inches by 8inches that cost $10 or a round pizza with a 9 inch diameter that also cost $10?


can anyone explain me the concept of quadratic equation?