Best Answer

The equation of the regression line is calculated so as to minimise the sum of the squares of the vertical distances between the observations and the line.

The regression line represents the relationship between the variables if (and only if) that relationship is linear. The equation of this line ensures that the overall discrepancy between the actual observations and the predictions from the regression are minimised and, in that respect, the line is the best that can be fitted to the data set. Other criteria for measuring the overall discrepancy will result in different lines of best fit.

User Avatar

Wiki User

โˆ™ 2013-09-07 16:08:02
This answer is:
User Avatar
Study guides


20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

See all cards
814 Reviews

Add your answer:

Earn +20 pts
Q: What characteristic makes regression line of best fit?
Write your answer...
Still have questions?
magnify glass
Related questions

Is the line of best fit the same as linear regression?

Linear Regression is a method to generate a "Line of Best fit" yes you can use it, but it depends on the data as to accuracy, standard deviation, etc. there are other types of regression like polynomial regression.

What is another name for line of best fit?

linear regression

What is the different between correlation and regression?

correlation we can do to find the strength of the variables. but regression helps to fit the best line

What is the process of finding line of best fit called?

Finding the line of best fit is called linear regression.

What is regression line?

Regression techniques are used to find the best relationship between two or more variables. Here, best is defined according to some statistical criteria. The regression line is the straight line or curve based on this relationship. The relationship need not be a straight line - it could be a curve. For example, the regression between many common variables in physics will follow the "inverse square law".

A point that is always on the regression line?

(mean x, mean y) is always on the regression line.

Why are there two regression lines?

There are two regression lines if there are two variables - one line for the regression of the first variable on the second and another line for the regression of the second variable on the first. If there are n variables you can have n*(n-1) regression lines. With the least squares method, the first of two line focuses on the vertical distance between the points and the regression line whereas the second focuses on the horizontal distances.

Given a linear regression equation of equals 20 - 1.5x where will the point 3 15.5 fall with respect to the regression line?

on the lineGiven a linear regression equation of = 20 - 1.5x, where will the point (3, 15) fall with respect to the regression line?Below the line

How do you solve regression line?

by regrsioning it.

What is the relationship between correlation coefficient and linear regreassion?

A correlation coefficient is a value between -1 and 1 that shows how close of a good fit the regression line is. For example a regular line has a correlation coefficient of 1. A regression is a best fit and therefore has a correlation coefficient close to one. the closer to one the more accurate the line is to a non regression line.

What is the equation that shows the relationship among certain quantities?

The answer depends on the quantities and the nature of the relationship. It can be a line-of-best-fit (or regression line), or a formula.

Are regression and trend line the same?


People also asked