Q:
# What is a regression coefficient?

**A regression coefficient, commonly represented by an "m," is the slope of a straight line.** This slope is obtained by fitting a linear equation to a data set containing two variables, typically "x" and "y."

The regression coefficient can be derived from a data set using the least squares method. Least squares fits a line to a set of points by minimizing the sum of the squared distances of the points from the line, yielding the linear equation mx + b. In this equation, m is the regression coefficient and b is the point at which the line intersects the y-axis, called the intercept.

The value of the regression coefficient contains information about the relationship between the variables x and y. When m is large, y tends to increase more rapidly than x. The reverse is also true. When m is small, y tends to increase more slowly than x. However, the value of m gives no information as to the strength of the relationship between x and y, or the correlation. A highly correlated data set, when plotted, forms a tightly clustered line shape. A data set with low correlation is closer to elliptical or round in shape and may have no discernible shape at all.

Learn more about Statistics-
Q:
## How do you do linear regression?

A: Linear regression is a curve-fitting strategy that approximates a function from given data. It plots a straight line through a curve without necessarily to... Full Answer >Filed Under: -
Q:
## How do you use R-squared for linear regression analysis?

A: R-squared is used for linear regression analysis by transforming the dependent variable in a regression model that is fitted to a particular set of data. I... Full Answer >Filed Under: -
Q:
## What is a criterion variable?

A: According to the University of Connecticut, the criterion variable is the dependent variable, or Y hat, in a regression analysis. The criterion variable is... Full Answer >Filed Under: -
Q:
## What does "r squared" mean?

A: The term "R-squared," or the coefficient of determination, explains the percent of variance away from a dependent variable and is expressed as a percentage... Full Answer >Filed Under: