Definitions for linear regression
lin·ear re·gres·sion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. linear regression, rectilinear regressionnoun

   the relation between variables when the regression equation is linear: e.g., y = ax + b

WikipediaRate this definition:0.0 / 0 votes

1. Linear regression

   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. linear regression

   Linear regression is a statistical method that attempts to model the relationship between two or more variables by fitting a linear equation to observed data. One variable is considered to be the dependent variable, which is the one you are trying to predict or explain, while the other(s) are known as independent variable(s). The goal of linear regression is to find the best-fitting straight line through the data points.

WikidataRate this definition:0.0 / 0 votes

1. Linear regression

   In statistics, linear regression is an approach to modeling the relationship between a scalar dependent variable y and one or more explanatory variables denoted X. The case of one explanatory variable is called simple linear regression. For more than one explanatory variable, it is called multiple linear regression. In linear regression, data are modeled using linear predictor functions, and unknown model parameters are estimated from the data. Such models are called linear models. Most commonly, linear regression refers to a model in which the conditional mean of y given the value of X is an affine function of X. Less commonly, linear regression could refer to a model in which the median, or some other quantile of the conditional distribution of y given X is expressed as a linear function of X. Like all forms of regression analysis, linear regression focuses on the conditional probability distribution of y given X, rather than on the joint probability distribution of y and X, which is the domain of multivariate analysis.

Matched Categories

1. • Regression
   • Statistics

How to pronounce linear regression?

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How to say linear regression in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of linear regression in Chaldean Numerology is: 8

2. Pythagorean Numerology

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

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=linear regression
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Linear_Regression
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=linear regression