SIMPLE REGRESSION Meaning and
Definition
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Simple regression is a statistical analysis technique used to model and understand the relationship between two variables, particularly when one variable, known as the dependent variable or response variable, is being predicted or explained based on the other variable, known as the independent variable or predictor variable. It is a type of linear regression analysis that assumes a linear relationship between the variables.
In simple regression, a mathematical equation is derived that represents the straight line that best represents the relationship between the variables. This equation allows the estimation of the dependent variable based on the value of the independent variable. The line is determined by minimizing the sum of the squared differences between the observed dependent variable values and the predicted values obtained from the equation.
The technique involves various steps, including data collection, selection of the independent and dependent variables, plotting the data on a scatter plot, calculating the equation of the regression line, estimating the coefficients of the equation, assessing the goodness of fit of the model, and making predictions.
Simple regression is commonly used in various fields, such as economics, social sciences, finance, and psychology, to analyze and interpret relationships between variables. It provides insights into how changes in the independent variable influence the dependent variable, offering a quantitative understanding of their connection. However, it should be noted that simple regression assumes a linear relationship and may not be appropriate for analyzing complex or nonlinear relationships between variables.
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Etymology of SIMPLE REGRESSION
The word "simple regression" is derived from two different sources.
The term "regression" comes from statistics and was first introduced by Sir Francis Galton in the late 19th century. Galton used the term to describe a statistical phenomenon where the values of one variable tend to move closer to the mean of that variable when related to another variable. The term "regression" is rooted in the Latin word "regressus", which means "to go back" or "to return".
The word "simple" in "simple regression" refers to the fact that it involves the analysis of a single independent variable and its correlation with a dependent variable. This is in contrast to "multiple regression", which involves the analysis of multiple independent variables.
Therefore, the etymology of "simple regression" can be traced back to the Latin term "regressus" and the use of "simple" to indicate the analysis of a single variable.
Similar spelling words for SIMPLE REGRESSION
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