State Math SAT scores. Refer to the simple linear

Chapter 11, Problem 32E

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QUESTION:

State Math SAT scores. Refer to the simple linear regression relating y = 2011 Math SAT scores to x = 2001 Math SAT scores, Exercise 11.15 (p. 614). A portion of the SPSS printout of the analysis is shown below.

Model Summary

\(\begin{array}{|l|l|r|r|r|}
\hline \text { Model } & \text { R } & \text { R Square } & \begin{array}{c}
\text { Adjusted R } \\
\text { Square }
\end{array} & \begin{array}{c}
\text { Std. Error of } \\
\text { the Estimate }
\end{array} \\
\hline 1 & .959^{a} & .921 & .919 & 11.912 \\
\hline
\end{array}\)

a. Predictors: (Constant), MATH2001

ANOVA

a. Dependent Variable: MATH2011

b. Predictors: (Constant), Math2001

a. Locate the values of \(SSE, s^2\), and s on the SPSS printout.

b. Give a practical interpretation of the value of s.

Questions & Answers

QUESTION:

State Math SAT scores. Refer to the simple linear regression relating y = 2011 Math SAT scores to x = 2001 Math SAT scores, Exercise 11.15 (p. 614). A portion of the SPSS printout of the analysis is shown below.

Model Summary

\(\begin{array}{|l|l|r|r|r|}
\hline \text { Model } & \text { R } & \text { R Square } & \begin{array}{c}
\text { Adjusted R } \\
\text { Square }
\end{array} & \begin{array}{c}
\text { Std. Error of } \\
\text { the Estimate }
\end{array} \\
\hline 1 & .959^{a} & .921 & .919 & 11.912 \\
\hline
\end{array}\)

a. Predictors: (Constant), MATH2001

ANOVA

a. Dependent Variable: MATH2011

b. Predictors: (Constant), Math2001

a. Locate the values of \(SSE, s^2\), and s on the SPSS printout.

b. Give a practical interpretation of the value of s.

ANSWER:

Step 1 of 2

a)

From the given SPSS printout of ANOVA, \(S S E=6952.757, s^{2}=M S E=141.893\).

From the given SPSS printout of Model summary, \(s=11.912\).

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