# Definitions for regression coefficientre·gres·sion co·ef·fi·cient

### Princeton's WordNetRate this definition:0.0 / 0 votes

1. regression coefficientnoun

when the regression line is linear (y = ax + b) the regression coefficient is the constant (a) that represents the rate of change of one variable (y) as a function of changes in the other (x); it is the slope of the regression line

### WikipediaRate this definition:0.0 / 0 votes

1. regression coefficient

In statistics, linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables (also known as dependent and independent variables). The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable.In linear regression, the relationships are modeled using linear predictor functions whose unknown model parameters are estimated from the data. Such models are called linear models. Most commonly, the conditional mean of the response given the values of the explanatory variables (or predictors) is assumed to be an affine function of those values; less commonly, the conditional median or some other quantile is used. Like all forms of regression analysis, linear regression focuses on the conditional probability distribution of the response given the values of the predictors, rather than on the joint probability distribution of all of these variables, which is the domain of multivariate analysis. Linear regression was the first type of regression analysis to be studied rigorously, and to be used extensively in practical applications. This is because models which depend linearly on their unknown parameters are easier to fit than models which are non-linearly related to their parameters and because the statistical properties of the resulting estimators are easier to determine.

### ChatGPTRate this definition:0.0 / 0 votes

1. regression coefficient

A regression coefficient is a statistical measure used in linear regression analysis that represents the relationship between two or more variables. It indicates the extent of the change in the dependent variable for each one-unit change in the independent variable, assuming all other variables remain constant. Positive values indicate a positive correlation, negative values indicate a negative correlation, and a value of zero indicates no correlation.

### Numerology

1. Chaldean Numerology

The numerical value of regression coefficient in Chaldean Numerology is: 5

2. Pythagorean Numerology

The numerical value of regression coefficient in Pythagorean Numerology is: 8

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"regression coefficient." Definitions.net. STANDS4 LLC, 2024. Web. 2 Mar. 2024. <https://www.definitions.net/definition/regression+coefficient>.

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