What does a regression mean? In Mathematics.?

Question

When I do a regression in a graph what should I do with the R value? What is that for?

Answer 1

When doing a regression on a set of data, we are attempting to fit a curve to those data points so as to minimize the differences between each datum and the resulting curve. The curve sort of represents the average of all the data points over the range of those data.

R is a measure of how well the curve fits those data points. R^2, the coefficient of determination, is a better one because it's value can be interpreted as saying "my curve represents R^2 percent of my data points." So, for example, if you get R^2 = 1.00, you can say "my curve represents 100% of my data points." This would occur if all your data points lay exactly on top of the curve and none of them off it.

You may also hear the term "adjusted R^2." This is the same thing as R^2, but it has been adjusted for the number of data points in your data set. The adjustment is often significant when the number of data points you regress is few (like less than 30). This results because a few data points may or may not accurately determine how the curve really should look.

Answer 2

Regression is a branch of mathematics (statistics) and means the dependence of one variable x on another variable y.

When you draw the best line through a number of points on a graph, you are showing the regression of y on x.

Answer 3

I do believe Regression is Math based. Here's the definition of the Regression I'm assuming you're speaking of.