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In a Simple Regression with a Single Explanatory Variable,the Multiple

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In a simple regression with a single explanatory variable,the multiple R is the same as the standard correlation between the Y variable and the explanatory X variable.


Definitions:

Regression Analysis

A set of statistical processes for estimating the relationships among variables.

Residual

The difference between an observed value and the value predicted by a model.

Multiple Regression Model

A statistical technique used to predict the value of a dependent variable based on the values of two or more independent variables.

Multiple Coefficient

Often refers to the multiple correlation coefficient in statistics, describing the strength and direction of a linear relationship between more than two variables.

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