Question

In a multiple regression study at Carnal Cruises, part of the ANOVA table is as follows: $$ \begin{array}{lrr} \hline \text { SOURCE } & \text { DF } & \text { SS } \\ \hline \text { Regression } & 4 & 48 \\ \text { Error } & 36 & 36 \\ \hline \end{array} $$ (a) What is the sample size? (b) How many predictor variables are there? (c) Test the null hypothesis that all of the predictor variable coefficients are zero, against the alternative hypothesis that at least one of the coefficients is not zero. Use $\alpha=0.05$. (d) Calculate the standard error of the estimate.

   In a multiple regression study at Carnal Cruises, part of the ANOVA table is as follows:
$$
\begin{array}{lrr}
\hline \text { SOURCE } & \text { DF } & \text { SS } \\
\hline \text { Regression } & 4 & 48 \\
\text { Error } & 36 & 36 \\
\hline
\end{array}
$$
(a) What is the sample size?
(b) How many predictor variables are there?
(c) Test the null hypothesis that all of the predictor variable coefficients are zero, against the alternative hypothesis that at least one of the coefficients is not zero. Use $\alpha=0.05$.
(d) Calculate the standard error of the estimate.

Probability, Statistics, and Queuing Theory with Computer Science Applications, Second Edition (Computer Science and Scientific Computing)

Arnold O. Allen 2nd Edition

Chapter 9, Problem 17

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Step 1

The sample size in a regression analysis is given by the sum of the degrees of freedom (DF) for regression and error. From the ANOVA table: - DF for Regression = 4 - DF for Error = 36 Thus, the total sample size $ n $ is: \[ n = DF_{\text{Regression}} + Show more…

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In a multiple regression study at Carnal Cruises, part of the ANOVA table is as follows: $$ \begin{array}{lrr} \hline \text { SOURCE } & \text { DF } & \text { SS } \\ \hline \text { Regression } & 4 & 48 \\ \text { Error } & 36 & 36 \\ \hline \end{array} $$ (a) What is the sample size? (b) How many predictor variables are there? (c) Test the null hypothesis that all of the predictor variable coefficients are zero, against the alternative hypothesis that at least one of the coefficients is not zero. Use $\alpha=0.05$. (d) Calculate the standard error of the estimate.

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