A San Jose State Student Collects Data from 20 Students $\text { R-sq }=0.26753742$

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
$\text { R-sq }=0.26753742$
$\text { s: } 0.45747$



Simple linear regression results: Dependent Variable: GPA Sample size: 20
R-sq = 0.26753742 s: 0.45747 $\begin{array}{|l|r|r|r|r|}\hline{\text { Coefficient }} & \text { Estimate } &{\text { Std. Err. }} & {\text { T-Stat }} & \text { P-Value } \\\hline \text { Constant } & 3.4246 & 0.16580 & 20.654 & <0.0001 \\\hline \text { No. of Classes } & -0.13940 & 0.054369 & -2.5641 & 0.0195\\\hline\end{array}$

-Is there evidence of a significant relationship between number of classes and GPA? Provide statistical justification for your answer.