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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Definitions:

Additional Money

Funds that are added to a budget, account, or investment beyond the initial amount.

Same Amount

A term referring to a quantity, number, or value that remains unchanged or identical in comparison.

Annual Compound Interest

The interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Simple Interest

Interest calculated only on the principal amount, or on that portion of the principal amount that remains unpaid.