The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables. $$\begin{array} { | c | c | c | c | c | c | } \hline \text { Source } & \mathrm { df } & \mathrm { SS } & \mathrm { MS } & F & p \ \hline \text { Repression } & & 700 & & & \ \hline \text { Error } & & & & & \ \hline \text { Total } & & 1000 & & & \ \hline \end{array}$$ The value of the standard error of the estimate s_e is __________. A)13.23 B)3.16 C)17.32 D)26.46 E)10.00

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Quizplus · Accepted Answer

The standard error of the estimate, denoted as $s_{e}$, can be calculated using the formula $s_{e} = \sqrt{\frac{SSE}{n-k-1}}$, where $SSE$ is the sum of squares due to error, $n$ is the sample size, and $k$ is the number of independent variables. Given $n = 35$ and $k = 4$, and knowing the total sum of squares (SST) is 1000 and the regression sum of squares (SSR) is 700, we can find $SSE = SST - SSR = 1000 - 700 = 300$. Thus, $s_{e} = \sqrt{\frac{300}{35-4-1}} = \sqrt{\frac{300}{30}} = \sqrt{10} = 3.16$.

The Following ANOVA Table Is from a Multiple Regression Analysis