Given a Multiple Linear Regression Equation, Ŷ = 5

question 126

Short Answer

Given a multiple linear regression equation, Ŷ = 5.1 + 2.2X₁ - 3.5X₂ (assuming other things are held constant), for a unit increase in the independent variable, X₂, will decrease by _______ units.

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Definitions:

Correlation

A statistical measure that indicates the extent to which two or more variables fluctuate together, implying a possible relationship but not causation.

Independent Variables

Variables in an experiment or model that are manipulated or classified to see their effect on dependent variables.

Dependent Variables

Variables in an experiment or model that are expected to change in response to changes in the independent variables.

Stepwise Regression

A method of fitting regression models in which the choice of predictive variables is carried out by an automatic procedure, adding or removing variables based solely on statistical criteria.