Math Problem Statement

In a multiple regression model the value of the coefficient of determination will be

Solution

In a multiple regression model, the coefficient of determination, denoted as R2R^2, measures the proportion of the variance in the dependent variable that is predictable from the independent variables. The value of R2R^2 will always lie between 0 and 1, inclusive:

  • R2=1R^2 = 1: Perfect fit, meaning the

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Math Problem Analysis

Mathematical Concepts

Statistics
Regression Analysis
Coefficient of Determination

Formulas

R^2 = 1 - (SS_res / SS_tot)

Theorems

Coefficient of Determination Theorem

Suitable Grade Level

College Level