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In Simple Linear Regression,the Regression Equation Is a Straight Line

question 47

Essay

In simple linear regression,the regression equation is a straight line.In multiple regression,what geometric form is taken by the regression equation when there are two independent variables? When there are three or more independent variables?

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Definitions:

Deductive Reasoning

The process of reasoning from one or more statements (premises) to reach a logically certain conclusion.

Likelihood

A statistical measure of how probable a particular set of observations is, given a model or hypothesis, often used in the context of estimating parameters in statistical models.

Hypothesis

A proposed explanation for a phenomenon, made as a starting point for further investigation.

Event

An occurrence or happening, particularly one of significance in statistics or probability.

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