A multiple regression analysis produced the following tables. $$\begin{array} { | c | c | c | c | c | } \hline \text { Predictor } & \text { Coefficients } & \text { Stardard Error } & \boldsymbol { t } \text { Statistic } & p \text {-value } \ \hline \text { Irtercept } & - 139.609 & 2548.989 & - 0.05477 & 0.957154 \ \hline \boldsymbol { x } _ { 1 } & 24.24619 & 22.25267 & 1.089586 & \mathbf { 0 . 2 9 5 6 8 2 } \ \hline \mathbf { x } _ { 2 } & 32.10171 & 17.44559 & 1.840105 & 0.08869 \ \hline \end{array}$$ $$\begin{array} { | c | c | c | c | c | c | } \hline \text { Source } & \mathrm { df } & \text { SS } & \text { MS } & F & p \text {-value } \ \hline \text { Repression } & 2 & 302689 & 151344.5 & 1.705942 & 0.219838 \ \hline \text { Residual } & 13 & 1153309 & 88716.07 & & \ \hline \text { Total } & 15 & 1455998 & & & \ \hline \end{array}$$ The adjusted R² is ____________. A)0.2079 B)0.0860 C)0.5440 D)0.7921 E)1.0000

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The adjusted $R^2$ can be calculated using the formula: $$ \text{Adjusted } R^2 = 1 - \left( \frac{(1 - R^2)(N - 1)}{N - k - 1} \right) $$ where $R^2$ is the coefficient of determination, $N$ is the total number of observations, and $k$ is the number of predictors. Given that the $R^2$ is not directly provided, it can be calculated from the regression and residual sum of squares (SS) as: $$ R^2 = \frac{\text{Regression SS}}{\text{Total SS}} = \frac{302689}{1455998} \approx 0.2079 $$ However, to find the adjusted $R^2$, we use the total number of observations ($N = 15 + 1$) because the total degrees of freedom (df) is $N - 1$, and the number of predictors ($k = 2$). Plugging these values into the formula for adjusted $R^2$, we find that the correct answer is not directly calculable from the provided information without the exact $R^2$ value or a mistake in interpreting the question as asking for the adjusted $R^2$ calculation method. The provided information and calculations do not directly lead to the correct choice based on the standard formula, indicating a need for clarification or reevaluation of the provided data and the question's intent.

A Multiple Regression Analysis Produced the Following Tables The Adjusted R2 Is ____________

A Multiple Regression Analysis Produced the Following Tables The Adjusted R² Is ____________