A San Jose State Student Collects Data from 20 Students

question 4

Essay

A San Jose State student collects data from 20 students. He compares the number of classes a student is enrolled in to their GPA. Here are the results of the regression analysis. The conditions for inference are satisfied.

Simple linear regression results: Dependent Variable: GPA Sample size: 20
R-sq = 0.26753742 s: 0.45747

$\begin{array}{|l|r|r|r|r|}\hline \text { Coefficient } & \text {Estimate }& \text {Std. Err. } & \text {T-Stat } & \text { P-Value } \\\hline \text { Constant }& 3.4246 & 0.16580 & 20.654 & <0.0001 \\\hline \text {No. of Classes }& -0.13940 & 0.054369 & -2.5641 & 0.0195 \\\hline\end{array}$

-What is the correlation coefficient for this relationship? Interpret this result in context.

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