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The adjusted R2 accounts for the number of independent variables by _______.

(A) adding one to the R2
(B) using the degrees of freedom
(C) multiplying by the multiple standard error of the estimate
(D) using a subscript for R2

Respuesta :

Answer:

Option (B) using the degrees of freedom

Step-by-step explanation:

The adjusted R squared value is given by:

[tex]\text{Adjusted }R^2 = 1 - \displaystyle\frac{(1-R^2)(n-1)}{n-k-1}[/tex]

where is the number of data points and k is the number of independent regressors, that is the number of variables in the model.

  • The adjusted R squared is explained by dependent variable with the R square value and the number of total variables.
  • So the independent variables are accounted by using the degrees of freedom as it includes the number of variables and deduct it from R square.

The adjusted R square accounts for the number of independent variables by

Option (B) using the degrees of freedom

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