REGRESSION COEFFICIENT Meaning and
Definition
-
A regression coefficient is a statistical measure that quantifies the relationship between an independent variable and a dependent variable in a regression analysis. It represents the change in the dependent variable for each unit change in the independent variable, while holding other variables constant.
In regression analysis, researchers aim to understand how one variable (dependent variable) changes as a result of changes in one or more other variables (independent variables). The regression coefficient is a crucial part of this analysis as it provides insights into the strength and direction of the relationship between the variables.
The regression coefficient is calculated by fitting a regression model to the data using statistical techniques like ordinary least squares (OLS). It determines the slope of the regression line, which represents the change in the dependent variable when the independent variable changes by one unit. If the coefficient is positive, an increase in the independent variable leads to a corresponding increase in the dependent variable, while a negative coefficient indicates an inverse relationship.
The magnitude of the regression coefficient indicates the strength of the relationship. A higher absolute value suggests a more substantial impact of the independent variable on the dependent variable. Additionally, a coefficient closer to zero indicates a weaker relationship or less influence of the independent variable on the dependent variable.
Researchers and statisticians use regression coefficients to interpret the relationships between variables, make predictions, and draw conclusions about causality in their studies.
Common Misspellings for REGRESSION COEFFICIENT
- eegression coefficient
- degression coefficient
- fegression coefficient
- tegression coefficient
- 5egression coefficient
- 4egression coefficient
- rwgression coefficient
- rsgression coefficient
- rdgression coefficient
- rrgression coefficient
- r4gression coefficient
- r3gression coefficient
- refression coefficient
- revression coefficient
- rebression coefficient
- rehression coefficient
- reyression coefficient
- retression coefficient
- regeession coefficient
Etymology of REGRESSION COEFFICIENT
The word "regression" comes from the Latin word "regressus", which means "a going back" or "a return". In the context of statistics, regression refers to the method of analyzing the dependence between variables. The term "coefficient" is derived from the Latin word "coefficientem", which means "a joint or mutual action".
The combination of these two words, "regression coefficient", refers to a statistical parameter that quantifies the relationship between a dependent variable and one or more independent variables in a regression analysis. It represents the magnitude and direction of the effect that a change in an independent variable has on the dependent variable.
Similar spelling word for REGRESSION COEFFICIENT
